{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":53975,"title":"Compute the effective conductivity of more heterogeneous aquifers","description":"Cody Problem 52070 asked for a function to compute the effective hydraulic conductivity of a heterogeneous aquifer—or the single value of conductivity set such that the aquifer produces the same flow under the same total change in head. In that problem, the aquifer had soil units either in series only or in parallel only. \r\nWrite a function to compute the effective conductivity for two-dimensional flow in an aquifer with a more complicated distribution of conductivity. Flow is left to right, or to the east, as in the figure below. No flow occurs across the north and south boundaries. Assume the head difference is small enough that Darcy’s law applies. Use the conductivity specified on the equally-spaced grid provided.  \r\nFor example, if in the aquifer below  = 0.1 m/d,  = 0.2 m/d,  = 0.01 m/d, and  = 20 m/d, then the effective conductivity is 0.092 m/d.  \r\nHint: The simple formulas that work for soil units either in series only or in parallel only will not work for these more complicated distributions because two-dimensional flow violates assumptions behind the formulas. In this problem, compute the effective conductivity directly from the definition. Darcy's law yields the specific discharges (or flow per unit cross-sectional area) of \r\n   and   \r\nThen conservation of mass leads to \r\n\r\nSolve this equation for the head , compute the flow through the aquifer, and get the effective conductivity from the definition.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 725.117px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 362.558px; transform-origin: 407px 362.558px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 318.25px 7.79167px; transform-origin: 318.25px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e asked for a function to compute the effective hydraulic conductivity of a heterogeneous aquifer—or the single \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 331.017px 7.79167px; transform-origin: 331.017px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003evalue of conductivity set such that the aquifer produces the same flow under the same total change in head\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.2667px 7.79167px; transform-origin: 25.2667px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. In that problem, the aquifer had soil units either in series only or in parallel only. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 359.933px 7.79167px; transform-origin: 359.933px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the effective conductivity for two-dimensional flow in an aquifer with a more complicated distribution of conductivity. Flow is left to right, or to the east, as in the figure below. No flow occurs across the north and south boundaries. Assume the head difference is small enough that Darcy’s law applies. Use the conductivity specified on the equally-spaced grid provided. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.79167px; transform-origin: 1.94167px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42.8167px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.4083px; text-align: left; transform-origin: 384px 21.4083px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110.858px 7.79167px; transform-origin: 110.858px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, if in the aquifer below \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K1\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35.1917px 7.79167px; transform-origin: 35.1917px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 0.1 m/d, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAoCAYAAACWwljjAAACqElEQVRYR+1XPS9mQRTmB4hga4WPmsJGIhQaK6tUWKH3VZEgaNmw/S4SSpZKIrFZlYJoKKh9FGp24xfwPDJHzjt33pm5Ljck702evPe9c865zzznzJm55WXv7Cp/Z3zKSoRCGSkplFWhdgRo8wS5x9iqGZ/y2K1j7C5EhuMxKauB3QQwqwJe4b4LuLZe8g3/f5tn//G7CPyIISI2MYRoS6UOVeB6BxkO/wJGABLuBc7TkIlViHZDwIoJvo/fbseLhAzHB4CoFNlxYhX6C8cvxnnaSgNT+hPoA+yxtAJF1RCDPqjIHbg/Mv+b8LsGMIWDwJ/UDCyHGIW+wmfP+LFQG006JI2sl9aXpuglKVuAk6ywbdyPqRQt4340qyraP0ahEzi0GCcS4HKvBmYA6UGvxilEiAV763hbsT6UmViIkN3o/pkC5ou/A3OZGaQsauktdGO6NgFpkCxwptLu1pk4hhS6VIr0434L0D2JRU4VYy69Lx7DQVpHga+PEHvMmbKW7cJ+3gwb3xbBOuQkqgBRlWFlxRZ0dB8hvV2wiBsUOZ3KUzz/7JGIZHYAWZGc0IEhmOjsPkJMD7cDXnYB1+EZiXDWvHoAV5emHZWwCctkE5PxEdLbheuFPP8sGULFujUJVQB2SuX0EE3IPm58QlB792ZtXCiVhlVaPBl8GpL4idZRTCG9XfhqRNulaQOibmJBuAiR/a6aOV/U6ZBdHztEEZ6FWKihgxnbCWsr0VhtQuwptUX0vsFzFjovnx3Hta0djgU9CehV+2wTaoyhWkg7LucnnjidJ8o8CUmDHAcZZ5fm7PIiRDIbwLyDDNMvpZALIVGGR137/MR6qgSeP5XyUEh3fFfNFXxSvTUhFrF8rbjIJFbjWxNKuwpzqaFUpEoKheQqKfThFHoEELuCKSbInJgAAAAASUVORK5CYII=\" alt=\"K2\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35.1917px 7.79167px; transform-origin: 35.1917px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 0.2 m/d, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K3\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.7px 7.79167px; transform-origin: 52.7px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 0.01 m/d, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K4\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 88.35px 7.79167px; transform-origin: 88.35px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 20 m/d, then the effective conductivity is 0.092 m/d. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.79167px; transform-origin: 1.94167px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.6083px 7.79167px; transform-origin: 13.6083px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHint\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 342.683px 7.79167px; transform-origin: 342.683px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: The simple formulas that work for soil units either in series only or in parallel only will not work for these more complicated distributions because two-dimensional flow violates assumptions behind the formulas. In this problem, compute the effective conductivity directly from the definition. Darcy's law yields the specific discharges (or flow per unit cross-sectional area) of \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.9167px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4583px; text-align: left; transform-origin: 384px 17.4583px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"vx = -Kdh/dx\" style=\"width: 72px; height: 35px;\" width=\"72\" height=\"35\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 7.79167px; transform-origin: 23.325px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e   and   \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v_y = -Kdh/dy\" style=\"width: 72.5px; height: 35px;\" width=\"72.5\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112.408px 7.79167px; transform-origin: 112.408px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen conservation of mass leads to \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.9167px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4583px; text-align: left; transform-origin: 384px 17.4583px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"d/dx(K dh/dx) + d/dy(K dh/dy) = 0\" style=\"width: 173.5px; height: 35px;\" width=\"173.5\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 100.358px 7.79167px; transform-origin: 100.358px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSolve this equation for the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 251.9px 7.79167px; transform-origin: 251.9px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, compute the flow through the aquifer, and get the effective conductivity from the definition.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 246.467px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 123.233px; text-align: left; transform-origin: 384px 123.233px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 513px;height: 241px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"513\" height=\"241\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Keff = effectiveConductivity2(K)\r\n  Keff = mean(K);\r\nend","test_suite":"%%\r\nK1 = 0.1; K2 = 0.2; K3 = 0.01; K4 = 20;\r\no = ones(50,50);\r\nK = [K1*o K2*o; K3*o K4*o];\r\nKeff = effectiveConductivity2(K);\r\nKeff_correct = 0.0916;\r\nassert(abs((Keff_correct-Keff)/Keff_correct)\u003c0.015)\r\n\r\n%%\r\nK1 = 5; K2 = 3; K3 = 8; K4 = 6;\r\nK = K3*ones(50,110);\r\nK(1:20,1:50) = K1;\r\nK(21:end,1:30) = K2;\r\nK(1:20,51:end) = K4;\r\nKeff = effectiveConductivity2(K);\r\nKeff_correct = 2.5471;\r\nassert(abs((Keff_correct-Keff)/Keff_correct)\u003c0.015)\r\n\r\n%%\r\nK1 = 0.1; K2 = 1;\r\nK = diag(K2*ones(50,1));\r\nfor j = 1:9\r\n    K = K+diag(K2*ones(1,50-j),j)+diag(K2*ones(1,50-j),-j);\r\nend\r\nK(K==0) = K1;\r\nKeff = effectiveConductivity2(K);\r\nKeff_correct = 0.2945;\r\nassert(abs((Keff_correct-Keff)/Keff_correct)\u003c0.015)\r\n\r\n%%\r\nK1 = 1; K2 = randi(9)/10;\r\nw1 = 10*randi(9); w2 = 100-w1;\r\nK = K2*ones(100); K(1:w1,:) = K1; \r\nKeff = effectiveConductivity2(K);\r\nKeff_correct = (K1*w1+K2*w2)/(w1+w2);\r\nassert(abs((Keff_correct-Keff)/Keff_correct)\u003c0.015)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":"2022-02-02T15:06:37.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-28T03:19:00.000Z","updated_at":"2026-04-05T08:16:36.000Z","published_at":"2022-01-28T03:21:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e asked for a function to compute the effective hydraulic conductivity of a heterogeneous aquifer—or the single \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003evalue of conductivity set such that the aquifer produces the same flow under the same total change in head\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. In that problem, the aquifer had soil units either in series only or in parallel only. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the effective conductivity for two-dimensional flow in an aquifer with a more complicated distribution of conductivity. Flow is left to right, or to the east, as in the figure below. No flow occurs across the north and south boundaries. Assume the head difference is small enough that Darcy’s law applies. Use the conductivity specified on the equally-spaced grid provided. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if in the aquifer below \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 0.1 m/d, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 0.2 m/d, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K3\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 0.01 m/d, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 20 m/d, then the effective conductivity is 0.092 m/d. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHint\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: The simple formulas that work for soil units either in series only or in parallel only will not work for these more complicated distributions because two-dimensional flow violates assumptions behind the formulas. In this problem, compute the effective conductivity directly from the definition. Darcy's law yields the specific discharges (or flow per unit cross-sectional area) of \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"vx = -Kdh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev_x = -K\\\\frac{\\\\partial h}{\\\\partial x} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e   and   \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v_y = -Kdh/dy\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev_y = -K\\\\frac{\\\\partial h}{\\\\partial y}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThen conservation of mass leads to \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d/dx(K dh/dx) + d/dy(K dh/dy) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{\\\\partial}{\\\\partial x} \\\\left(K \\\\frac{\\\\partial h}{\\\\partial x}\\\\right) + \\\\frac{\\\\partial}{\\\\partial y} \\\\left(K \\\\frac{\\\\partial h}{\\\\partial y}\\\\right) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSolve this equation for the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, compute the flow through the aquifer, and get the effective conductivity from the definition.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"241\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"513\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52070,"title":"Compute the effective conductivity of a heterogeneous aquifer","description":"Slow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water  to the gradient in piezometric head  by\r\n\r\nwhere  is the conductivity of the soil and  is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow  (and the specific discharge ) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \r\nSome aquifers, or underground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of  set such that the aquifer produces the same flow under the same total change in head. \r\nFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If  is 2 m/d (meters/day) and  is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \r\nWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. The relative size of each unit is indicated by the number of rows or columns. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 634px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 317px; transform-origin: 407px 317px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.833px 7.91667px; transform-origin: 311.833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSlow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56.0083px 7.91667px; transform-origin: 56.0083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the gradient in piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"dh/dx\" style=\"width: 39.5px; height: 19px;\" width=\"39.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.33333px 7.91667px; transform-origin: 9.33333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8333px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4167px; text-align: left; transform-origin: 384px 17.4167px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 7.91667px; transform-origin: 21.0083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.625px 7.91667px; transform-origin: 104.625px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the conductivity of the soil and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 244.283px 7.91667px; transform-origin: 244.283px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.1333px 7.91667px; transform-origin: 87.1333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (and the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 19px;\" width=\"57.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 227.95px 7.91667px; transform-origin: 227.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.175px 7.91667px; transform-origin: 57.175px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSome aquifers, or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 325.6px 7.91667px; transform-origin: 325.6px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eunderground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 252.433px 7.91667px; transform-origin: 252.433px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e set such that the aquifer produces the same flow under the same total change in head. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.625px; text-align: left; transform-origin: 384px 31.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.917px 7.91667px; transform-origin: 376.917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K1\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.225px 7.91667px; transform-origin: 83.225px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 2 m/d (meters/day) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K2\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 251.125px 7.91667px; transform-origin: 251.125px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.242px 7.91667px; transform-origin: 376.242px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. The relative size of each unit is indicated by the number of rows or columns. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 208.917px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 104.458px; text-align: left; transform-origin: 384px 104.458px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 382px;height: 203px\" src=\"data:image/png;base64,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\" alt=\"Aquifers in series and parallel\" data-image-state=\"image-loaded\" width=\"382\" height=\"203\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Keff = effectiveConductivity(K)\r\n  Keff = mean(K);\r\nend","test_suite":"%%\r\nK1 = 2;\r\nK2 = 6;\r\nK  = K1*ones(4);\r\nK(:,1:2) = K2;\r\nKeff_correct = 3;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK  = K1*ones(4);\r\nK(:,3:4) = K2;\r\nKeff_correct = 3;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK  = K1*ones(4);\r\nK(1:2,:) = K2;\r\nKeff_correct = 4;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK  = K1*ones(4);\r\nK(3:4,:) = K2;\r\nKeff_correct = 4;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10*rand;\r\nK  = K1*ones(7);\r\nKeff_correct = K1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK  = K1*ones(10);\r\nK(:,10) = K2;\r\nKeff_correct = 5.2632;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK  = K1*ones(10);\r\nK(:,5) = K2;\r\nKeff_correct = 5.2632;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK  = K1*ones(10);\r\nK(10,:) = K2;\r\nKeff_correct = 9.1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK  = K1*ones(10);\r\nK(5,:) = K2;\r\nKeff_correct = 9.1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 4;\r\nK2 = 1;\r\nK3 = 8;\r\nK  = K1*ones(8);\r\nK(4:6,:) = K2;\r\nK(7:8,:) = K3;\r\nKeff_correct = 3.875;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 4;\r\nK2 = 1;\r\nK3 = 8;\r\nK  = K1*ones(8);\r\nK(:,4:6) = K2;\r\nK(:,7:8) = K3;\r\nKeff_correct = 2;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 1;\r\nK2 = 2;\r\nK3 = 3;\r\nK4 = 4;\r\nK  = K1*ones(10);\r\nK(5:7,:) = K2;\r\nK(8:9,:) = K3;\r\nK(10,:)  = K4;\r\nKeff_correct = 2;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 1;\r\nK2 = 2;\r\nK3 = 3;\r\nK4 = 4;\r\nK  = K1*ones(10);\r\nK(:,5:7) = K2;\r\nK(:,8:9) = K3;\r\nK(:,10)  = K4;\r\nKeff_correct = 1.5584;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-06-17T14:24:44.000Z","updated_at":"2026-03-16T13:48:00.000Z","published_at":"2021-06-17T14:30:00.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSlow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to the gradient in piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003edh/dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the conductivity of the soil and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (and the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSome aquifers, or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eunderground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e set such that the aquifer produces the same flow under the same total change in head. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 2 m/d (meters/day) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. The relative size of each unit is indicated by the number of rows or columns. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"203\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"382\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Aquifers in series and parallel\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAvsAAAGWCAYAAADmA0xXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAACZUSURBVHhe7d0LlGRVeS/w3ZGZ8d6gjCBmMKCDS3GQiwwQXvcuLk95GBQQAjM34mUEwgCLKIiKE29GuBEQEVEjTxF0EmfgQtAEGRAiIGYNSJAxxBcYGMMkaBDEJQR5uLj9nd41nC6ququru6erdv9+a9XqvavrcaYp9vnXPt/ZZ+CFQQkAACjO7+SfAABAYYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoUa9gu7HFg3kFgBj8bErXKC8FfsVgO50s18xsw8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AAChUx2H/a9/ODQAYB/sTgPVn4IVBuT2igYGB1OFDAaAt+xOA9WfUsP/A2iern1tt8Yp0/8O/rtrQK/78g8elMz95We5Bb3nT5hvmFnUR9u1PAMaum/2Kmn362ooVK3ILekd8CQWAiTKe/YqwDzDBfAkFYCKNZ78i7AMAQKGEfQAAKJSwDwAAhRL2AQCgUMI+AAAUStgHAIBCCfsAAFAoYR8AAAol7AMAQKGEfQAAKJSwDwAAhRL2AQCgUMI+AAAUStgHAIBCCfsAAFAoYR8AAAol7AMAQKGEfQAAKJSwDwAAhRL2AQCgUMI+AAAUStgHAIBCCfsAAFAoYR8AAAol7AMAQKGEfQAAKJSwDwAAhRL2AQCgUMI+AAAUStgHAIBCCfsAAFAoYR8AAAol7AMAfe+eu1elY959aDri4L3TktNOzPeO7JlnfpNOPHZhOuqIt1fP+9ZtN+ffQDmEfQCg79329zemO26/Ja3+7t3pmquW5XtHFiH/lpuuT3etuqN63oM/uT//Bsoh7AMAfW/mzFm51ZmlS95fBfyG3ffYNx197Em5B+UQ9gGAvvfss8/k1ui+eu3ytHzZ5bmX0ty5c9OFly/PPSiLsA8A9L1OZ/ajVOdD7/+T3EtpxoyZ6UtXrUyzZr083wNlEfYBgGkhTshdcOg+uTfk2utvS5u9dvPcg/II+wDAtBAn5D7xxBO5l9JZ512Y5r1l29yDMgn7AEDfG61mv/mE3IVHHZMOP/Ko3INyCfsAQN8bqWb/6397zbATcmPlnTPOuiD3oGzCPgBQrB/94L50ykmLcs/KO0w/wj4AUKQ4ITeuqttg5R2mI2EfAOh7rWr244TcRx/9ee5ZeYfpSdgHAPpec83++R//4LATcq28w3Ql7AMAxfm762/ILZjehH0AoDhfufam3Bqy5LQTq6vnwnQj7AMAfa+5Zj9q86N0p27xosPSb59/PvdgehD2AYC+12qd/bho1oIFC3IvpTVr1qTT3ndc7sH0IOwDAMX6s7/4XNp009/LvaELbF1z1bLcg/IJ+wBAsWJN/cv/6rrcG6J+n+lE2AcA+l6rdfYbYsnND5x+Ru4Nifr9uOhWp6LW/1PnLE1bbfGK6hbPVf9PPxD2AYC+16pmv+74k05N++5/UO4N1e+ffuoJuTeyu1bdkRYetl+65PPn53tSevyxX6SXbbBB7kHvEvYBgGnhnPMvTrNnz8690ev3G7P5cSXeuEDXVvO2qe6fMWNm2niTV1dt6HXCPgAwLbzylRuli754de4NGal+/8w/P62azZ87d2668dZ70nmfuay6/7nnnk1PPfmkMh76grAPAPS9kWr263bcabeqpKeuXf3+9jvuks694NL0jTvuS29441bpqaeezL9J6Xc33FAZD31B2AcA+t5oNft1cbLuLrvtnnvt6/cPOWxhdWvFzD79QtgHAKadmLGP2vuGsay/H88zs0+/EPYBgGlns9dunr7411/NvSFRvz/ScpyNLwdq9uknwj4A0PfedsA7qqU15++wUzr99NPzvSOLUp6zzrsw7b7HvlV70XEn59+0FiG/wcw+/WLghUG53dIDa4dORokLSNz/8K+rNvQKn0t6UeNz+abNN8z3UDcwMOD/W/rSPXevSgvftV/VvnP1Q2mjjWYL/KwX49mvmNkHABgDNfv0E2EfAKADavbpR8I+AEAH1OzTj4R9AIAxMrNPvxD2AQDGQM0+/UTYBwDogJp9+pGwDwDQwvJll1dLHjZuh79jz/yblHadv2XaestXVfcf8+5D873Qe4R9AIAWZswcmskfzYyZM3ILeo+LatHXfC7pRY3PpYtqteaiWgBjM579ipl9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolCvodumZZ36TLv38+VV75qyXp6OPPTFt8LIN0ss22KC6r51bbro+/fD7/1S1t3j9lumQwxZWbbrjcznct267Od1957fTzJmz0tbbvDXtu/9B+TftPf7YL9Jff+nSqv3ss8+kRcednDbe5NVVn+64gu7IXEEXYGzGs18R9rvw2+efT6vvvTstfNd++Z6Ull19Q9plt91zr7VrrlqWlpx2Yu6lNH+HndLVX/tm7tENn8vhjjri7emuVXdU7dmzZ6fv3Pdw1W4nPssH7rV9WrNmTb4npS8s+5v0P/d8W+7RDWF/ZMI+wNiMZ7+ijKcLMXv//GBIqttg8L4ITu386Af3DQv64cyzP5NbMDHiiFPDjBmzcqu9kxcfNSzo7/22AwV9ACiIsN+lCPd1Ef7blfBEAHvPkW/PvSGf/vwVad5bts09mBizZr08t6K8bOSwf8nnz6/Kyhrmzp2bPn/pV3IPACiBsN+lsczsR2nFE088kXspHX/SqekP33l47sHkePaZZ3Lrpe65e1X61DlLc2+o5Oear3971HNOAID+Iux3IUJ9pzP7S5e8P63+7t25N1Qm8YHTz8g9WP8e+fe16YT3HpF7Q76w7Kvpla/cKPcAgFII+13otGb/q9cuT8uXXZ57KW01b5t08Revzj2YXK3KeKKk7Lj/ffiwI00XfmF5euv8HXMPACiJsN+FTmb2H/zJ/elD7/+T3Bsqk7jsS9fkHky+VmU8H//oyen+H30/94ZKyjpZnhMA6E/CfhdGm9mP2dMFh+5TtRu+fNUNabPXbp57MPmaZ/bjKNOKFStyT0kZAEwHwn4XRpvZbz4hN8okrLzD+laf2Y+lX+P8kYYoKbPyDgCUT9jvwkgz+80n5J58ykeUSbDe1NfZb8zsxxVyjzx036odNt3099KXV1w/rOwMACiTsN+FVjP74cYbvjrshNwI+SefuiT3YPLV19mPmf34rC5+7xHp6f/8z3xvSpf/1XVp401enXsAQMmE/S60mtn/x++sSqectCj3Upq/w05V+Q5MpQvO+7/DjjQpKQOA6UXY70Krmf3LL/50bg3ZfY8XyyZgKjz66M+rq+Q2xIpQO++2e+4BANOBsN+FVjP7Sz52bhWmGj736bOrq5TCVPn9zV83bLWdOGn82KMOzT0AYDoQ9rvQamZ/i9fNTWedd1HuDYmrlMbVSmEqRM1+rKMfJWUNUdLzqXOW5h4AULqBFwbldksPrH2y+rnVFq9I9z/866pNSnetuqNaYrNh+d98I+24027Vajz1k3R32W33tOzqG3KPieZzOVx8JuOzGWJm/9ZV369W6Nn9D940bDnYxueVydH4XL5p8w3zPdQNDAzkFgBjMWPGzPTssy+9aOZIhP0uxMz+6nvvTgvftV++J1WBPoJ9OOLgvYedFBmzqy5eNDl8Loerh/1YYvMfvvuTqh0lZfXPa5Scfe2mVS70NkmE/ZFF2Pf/LUDnxrNfUcbThZHW2Q+fuejL1c+GOElS/T7rQ6t19kPM4seXzoaY5f/Q+/8k9wCAUgn7XWhVs1+/gm7Mlp57waVVu0H9PutD8zr7de8/7f+kbbadn3tDpWjq9wGgbMJ+F9rN7NcdctjCtGDBgtwb+0xqfKGIIBaHbeIWM7aNIwfQjfjcxjr7Ue/X0OlRp8Y5Ko3PY9z22m2bdM1Vy/IjAIBeJOx3od3MfrMzP3lZmjt3bu51PpMaj1t42H7D1kh//LFfrDtyAJ2ol/E0xFGnz1z0pdwbMtJRp/iSGeeg1M8FaPi3tf+alpx2Yjrm3ZbzBIBeJex3YbSa/bqLr7g2t4aMNJPamM2PYBUn+G41b5vq/piJ3XiTV1dtGEm9Zr+5jKdh3/0PSosXL869kY86xZfMNQ8+kA4/8qh0+10/rE4Oitudqx9at6TnHbffkr7+t9dUbQCgtwj7XWg3s99q5v0Nb9wqnXXehbk3pN1M6pl/flr1ZSCOBtx46z3pvM9cVt3/3HPPpqeefFIZD6Oq1+y3mtlvOPXPPrnuy2Rod9QpjgR8576Hq89wfeWe+PIZJ6I3LiT3N1f/dfUTAOgtwn4XxjKzH2JWdO+3HZh77WdSt99xl+rE3m/ccV/1JeGpp4aWPQ2/u+GGyngYk3Yz+w2fHeeqUa95zZy0Q16r/+c/f8SXUQDoQcJ+F8Yys98Qs6Cx7nlDq5nUOKk3bq2Y2WesRprZD2M56tRK8+f9+d/6fAJArxH2uzDWmf0Q5RUXffGq3BsSM6k/+sF9udde1Oyb2acTndTs18VRp7g1xFGnMz764nr8I4n3+m4+EvC61285rIQIAOgNwn6XItzEFXPjJMW4vfb3txg1jL91/o7V0ofxvMatXqrTrLFEopp9OrXPfget+2y964g/zveOLGb346TdxvM23rizk8H/+Z/urb4chD9852HVTwCgtwy8MCi3W3pg7VAYjXW1Xd58/Yr66YXv2q9q3/eTR82ctuBzOTViVn/3P3hTFfbjRN+vrfy2I081jc9lN5c1nw4GBgb8fwswBuPZr5jZ7xNm9uklf/nps9fN6seqUYI+APQmYb8PqNmnl9xy0/XrLvh28ikfSfPesm3VBgB6j7Dfw9Ts02uitOzEY4dWjDr+pFPTyacuqdoAQG8S9ntYhPwGM/tMtbUP/3TdOSSxgs8HTj+jagMAvUvY7xNm9plKsfb+/nvsULVj5Z7m9fkBgN4k7PcBNftMpVh55+D9d6uONG2z7fxq+VgAoD8I+z1MzT5TLT5z7zvhPeuW2Fxx3c35NwBAPxD2e8jyZZdX66g2boe/Y8/8m5R2nb9l2nrLV1X3H/PuQ/O9MLmuu3Z5+ubNK6v2/T/6ftr2jZsO+4zWb4vfe0T1OACgdwj7PWTGzKGZ/NHMmDkjt2BybfmGN+bW6J579rncAgB6hSvo0td8LulFjc+lK+i25gq6AGMznv2KmX0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gGAvvf4Y79I11y1LH3qnKXpnrtX5XtH90+r70mfO/+sdMnnz69eA0oj7AMAfe+Kyz6Xlpx2YhXaF75rv3zvyOKLweHv2DN97tNnV+0rL/5E/g2UQ9gHAPrezJmzcqszt9x0ffXFoGHGjJlp4aL35R6UQ9gHAPres88+k1uje/An96cTj12Ye0Ouvf62tNlrN889KIewDwD0vU5n9p955jdp8aLDcm/IWeddmOa9Zdvcg7II+wDAtPDb559P7zvhPWnNmjX5npSOP+nUdPiRR+UelEfYBwCmhQs/e2765s0rcy+lvd92YPrA6WfkHpRJ2AcA+t5oNftxQm6sutOw1bxt0ucv/UruQbmEfQCg77Wr2Y/SnUf+fe2wE3Jnz56dLvvSNellG2yQ74FyCfsAQLGe/+3z6fCD9sy9IV++6gYr7zBtCPsAQLHihNxHH/157qV04ReWW3mHaUXYBwD6Xqua/bgqbv2E3Fh5Z9/9D8o9mB6EfQCg7zXX7DdfIdfKO0xXwj4AUJwlp52QW0M+tOQvcgumF2EfACjOko+dm1tDjjri7dXVc2G6EfYBgL7XXLN/yGEL04IFC3IvVSfpfvyjJ+ceTB/CPgDQ91qts3/mJy9Lm276e7mX0ooVK9I1Vy3LPZgehH0AoFiX/9V1uTVkyWknprUP/zT3oHzCPgBQrFhTf8nSc3JvyJEH76N+n2lD2AcA+l6rdfYbjj72pGrpzQb1+0wnwj4A0Pda1ezXfeaiL3dVv3/XqjuqlXy22uIV627/Y4c3qv2nbwj7AEDxZs16efrsJcMDetTvP/iT+3NvuCjzOeLgvaugH4G/Lo4MxHMXv/eIfA/0LmEfAJgWdtxpt3TyKR/JvSHHHHVoy/r9xx/7RVrz4APV8p233/XDdP/Dv65ud65+KO2y2+7VY75588r01WuXV23oVcI+AND3RqrZrzv51CVp/g475V5K/7b2X1vW72/22s3Td+57uFq+M9oNG200O517waVpxoyZVf/Grw9f7Qd6jbAPAPS90Wr265ZdfUOaPXt27o1t/f2XbbBBFf5333Ofqr/24X+1sg89TdgHAKaVqN//3KVfyb0hI9XvN/vt88/n1pANXrZBbkHvEfYBgGkn6u4XHnVM7g1ZvOiwjmbpY3b/u3evqtqbb/G6qg+9StgHAPreZr+/RW6lNHfu3Nwa2RlnXVCdgNvw1FNPVz9HC/z3DAb9J554omq/4xAr8tDbBl4YlNstPbD2yepnrCsbZ6FDL/G5pBc1Ppdv2nzDfA91AwMD/r+lr+287RZV2N9q3jbp2utvq8qCYDKNZ79iZh8AoENR29+Y1T/vM5cJ+vQ8YR8AoANxca3Gqj2xXv+8t2xbtaGXCfsAAKOIoB9X0w0R9GO9fugHwj4AwAge+fe16b1/fEjVjhN6BX36ibAPANBGBP09dtk6Pffcs2nf/Q+qrqgL/UTYBwBoIZbgPPygPat2rLzzuYs7u8ou9BJhHwCgSQT9E49ZmB599Odpm23np+tvvtPFs+hLwj4AQJO/++r/S3fcfkvV/v59q6t1ztvdjnn3odXjoBcJ+wAATbZ8wxtza3QzZs7ILeg9rqBLX/O5pBc1PpeuoNuaK+gCjM149itm9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIUS9gEAoFDCPgAAFErYBwCAQgn7AABQKGEfAAAKJewDAEChhH0AACiUsA8AAIXqOOzPnTs3twCge/YnAOvPwAuDcruljy0ayC3oPWdcmdLSo3MHekTjc/mxK0YcXqct+xWAsRnPfkUZD31tzsa5AQDASwj79LXj35kb0EN8CQVgIs2YMTO3xk7YB5hgvoQCMJGW/PGzuTV2wj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFGnhhUG4DAAAFMbMPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUKiBFwblNgAAY7RmzZp0ySWXVO2NNtoonX766VW7WaePmwxT+d5MLWGfaSUGu7lz5+YeAIzfxRdfnE444YTcS6ldtOr0cZNhKt+bqSXs09Lq1avTVVddlb5zz/fS44/9Iq3+7t1p/g47pV133jFtt912acGCBWn27Nn50b3vgbVPpp233SI98cQTVf/ss882qwHQxj0/+Ld0zbK/zL3WYl8wb968NH/+/HzP9HXR5SvSiccuzL32QbrTx02GqXxvppawzzAR8j/woSXpmzevzPe0F2F56dKl6eUvf3m+p3etWLEiLVz44iAXs/sPPfRQ7gFQt/2OO1eTPJ2IiZ9jFp+SPvrhP+2rSaCJdOWVV6ZFixblXvsg3enjJsNUvjdTywm6rBMlLttvv31HQT+cc8451eDRj2ZvvGluAdCs06Af4ojpp85ZWu0/Yj8yHf3mN7/JrZF1+rjJMJXvzdQS9qnEYL3XXnvl3pC933ZgWrlyZbr33nurWfBbb721Kn+p17z/9Kc/za3eFmVHRx99dLXt8e86++Nn5t8AMJIYNxulj/HzA6efUbWbz3+KoL/llltWR4inm06PaEzlkY/petSFQVHGA4MDdxzPW3dbvHhx/k1ry5cvf2HOnDnVTwDK0un+YOXKlS8Mhshhj1+wYEH+7fRx0UUXDfsbtNPp4ybDVL43U8vMPpV/vPefc2vo2//goJB7rcVM+SOPPFL9BKBcjYUNWjnggAOqo7/1WeM4R2o6zu5DrxL2qfzkxy+G/Ri8ASCMVv4R5TzNEz933nlnblH3woypK6WZyvdmalmNh8qrXvWqdbM3MXBPxko1Uc954403VnX+saTnazbZqHqvWL7tkEMO6WhVn3j+7bffnt785jdXNfgNcf9NN92UbvvWP1TLgx588MEv+dLSWE709a9//ZiWDh1pu+M9On2dEH/jeK3vfe97605kG+vfAGCyDQwM5NbQkdzly5fnXmvNK7006vtbqY+D0b7/X36adt5xu+pCT7GM56677trRuBrPjaMID//sV+mPDtl/3RKgcX+sKX/zN79V9Xf973uk444+shprm03UtjSv+NYuWnX6uFYa+7DYzju/c086YL990u/Mmj3s3z6S8bw3fS7CPszfYaeqhq9x++Uvf5l/M35PP/10VfNZf/1Wt07q/+uPH/xCUt2399sOHHZ/49as/rs4R2E0nWz34E6go+2Ov+fgjq/la9RvzoEAekF9XBrtHK5w7733DnvO4BeE/JsXxWP23f+gYY9rdRsM5dW5AKOp16DHPizEe8S4XH+9uDVvz2RuS9za6aZu/s7VD1XbUX9e8y3+/aPtt9XsT1/KeKjEbHhdLKEWswfjFTMRW2+9dTXLMpqYcYir+41lebB99nt7x0uFjkWn2x1/o8Z2j/T3OuyI/5U+8pGP5F57nTwGYH3qZF/ws5/9LLeGNM+ix1ga+5Vbbro+39NeHPU88MAD09mfGvncsbqNN3l19bxO9l2TsS2dHpUd69HbCy64IO06f8t1R4LbiaVS4wh9zN6348jx9CXsUzn++ONza0gMLHvts9+4TrJqDLz1QSoO7cbJXINfNKtSoVjaM67M2xCDcAxunfjEJz4xLOjHoeZ4/U4OZ8Yh2nbiarudbHd9Zxbb3e6LQdxf387Fixenf/z+2uq14havFa8P0Is6KWNp3ldEaWLdJZd9MbdeXMozxr4YV+Nn3GJsrDv3L5bk1ujiSu/15aPjPeL14hbbX/83TMa2TMY6+3Etm1NOOSX3hrY1yqliH9TYdzSXSsXkU7svO9bZn8YGPzBQidKW+Eg03+LwZ6NkZizqrzc4SFWHTduJ96i/Z7vDkfXHNG7x2p1sX/05sW3tDA7yw157vNtdL5FqPpTcbHDwzi2AqVMf10Ybt0JzKWjzuBnjajxmtFLF5nLHkcbqeK36Yzt5Tlgf29JOp48L9XKkkf4bxP6v/tj497UylvemLP5rM0w96DbfYrDpNPTHQF9/7nXXXZd/01qE5Prj2w1W9cfELQa40eoUG+rPazdoT8Z2139/xRVX5HsBeld93Bot7DeH4gjS49FJcA3NNehx6+SLyVh0uy3tdPq4+r44tmE0za/bar+oZn/6UsbDMIODQXWYcHBwyfe8KGoB4+qIIx0mbIgSm4Y49BgrzYwk3q++uk6sNNCJdtvarW62e3BQzr3W213fvh//+Me5BdAf2o2xsR+I/UHzuUbXXXt1bnWnvpLaSPuC5u2KfuwTJlKn2zLR6mWhH/7wh3Orvfp+KMQKQ9Ag7PMSCxYsSL/85S+rOvJWg3wj9I9Uz/+j+/8ltzpftz+W02xY8+ADudVebGenr92sXc1+N9sdS3k2tNruHXbaLbdSuvLSc9JNt3039wB6X4z52++4c7UgQvyM2vg4GbTVCaExYRQTJRPliccfza2Xap50uvXWW3Nrcoy0LRPpru8NPxm3031RfX8dS4lCg7BPW3HiT5wIFIN3c+iPQTZOYm135n9z6I1ZhvhyED/b3X71q1/lR790EG9lPDuU+nvVTcZ2H/fe9+RWSj97fHDg3mvHavWe0VZXAOgFMa7Fai+x0ED8vO22214y1sV43OrE1m50u2pMJ4szjFWn29JqYqyVTh73yEPDJ9JipaP4m7fa/zRusZ+qv3ar/Uun20iBcjkPjCjq/6LOPT4y9dvg4PGS2sDmOvZub63OD6j/frSTsJqN9tzJ3O56/WX9FtcIiJOmAHpJq/Gq+Rbjf4xhUQs+FjHWRp1/1NdHff/gF4WWrx+3OXPm5Ge91ETUoK/vbenkcc3nQHRzi/8uzSbi70V/MrNPR2JGIGb6Y+amLmZ36nXuYSJmrOP9JvJQcLNZs2bl1osmc7sHB9mW5xfETFnUvG622WbV7AxArxkMjtXYv2rVqqpUJn4O5oeq3PPvv3FDx7P5McbGeBflP1HnH0eG40jBSGPvSDPrzePpWEz0tnTqhRmjb3NcrX284irAzcbz96K/DUTiz23oSAyKMUg2xI4gBvyGOJwYJT4NUfu/xx57pDlz5lSHI9v9DI12u0uU1y/hHl8+4rU7VX9uPC+eXzeZ210Xf7/YubTaqcSXgok4DA4wHvXxMsakGJvGI8a7GF/r5T8xVsY5TW/d5s3VeVTPPPNM9fOSSy5ZNz7G5EmUk7YSJ7FGSWRDp3FmMraleb/YbluuvPLKtGjRotxr/bjYP8Qa+w333nvviPugxs/6l5E999wzt17U7d+LAgz+x4Yxi49O4zY4SOZ7X1T/fauSmW6N53Xrz126dGm+d7j6YyZyu1uJZT7j0HH9PePWvD41wPpWH5NinBqv5vKYKClpp1722Gr/0hBLGddfs1OTsS3xGvXXbKeTxzU/JkqNJkKn20h5lPHQlValKnUxS9LQfCJXL4hZm1bW53bHyWRR2jM4AOd7hsRMEkCvqI+L3YgSxfqRzNFO5G2ecW+nmyvCTta2TKTm/etE7YvW1/bTe4R9ulIfLFstC1ZfbrIXa9HbLb05FdsdO5r5O+yUe+t3LWeA0Yw3bN5+++25NWS0pSQ7DaXdhNep3pZOHjdv3rzcGhIlQhNhsiew6F3CPlVw/9GazgeB5oGn1Sz/H73rnbk19PqTEZzbBfZOtFt6c31sdyvz37pNbgH0lvGemBr15A2dhN1OJzy6Ca9jnamf6G3p5HGxXfVta14EA8ZK2CedcsopaestX9XR2u/x+/oJPuHII4/MrRfFbHV9sBrLuvKdPq5dYB+Pid7uuK+TWZlYQ7lh1513zC2AqddNuUxd/YKJEXZjMYR2YsyNVXEaugn0I6lfBHEqtqWTL06xD6qXd8b7Nu93R9Jun1XftzG9CPusG3ziTP24Mm6sKBAz2nFrDIbRjsEmfl8f8JYuXdr2Qib11W5i8Innxnu0GjDjPWL1gXhM3CbqsGU7Ix0VmMjtjvr7+Hu2+zfFa8bv64NzrAAE0CvGGxKbV4Y59NBDXxJIYyyNq/PGWFs30nt3c8SheX81UdvS6d+o0y9OcYX4/7bti6vDxbbENrU72tzYR8cqSnGF41Za7cOYJvKJukxjg+F22Bn6nd4OOOCA/ArttVptpnEb6QIm7S40VX/MeFbjGe25E7XdzasfxG3OnDltX+Poo4/OzwSYOvVxaSJW42k1pg5+CajGwrjV719cWwEnxsl2ul1dpv76jdv62pbYR3TyuBArsw1+iRj2+MYttiW2tdXv223nWN6bsvivTSUCf7tBpfkWj4uBrVMxwHT62nGLK/+1W2qs/rjY5rGoP7eTLwoTsd3RbxXqW91ipwLQC+pj00RMQjz99NMvCdLNtxhvV65cWV2FvHHfSAG72/Aa4/JEb0unYX+sX1Di79bqy8lIt3b757G+N+VwUS2GiVKTWK0gTkqq1yrGhbNes8lGVYnJ4MCT7x2bKHeJKwPe/y8/ra4c2zA4qFYrImy33XbVocvBATX/5qXiMGVs28abvDp98NQ/HXUlhbqq/nL16vRfX/GqMT13Ira78XeNQ62NQ8ZzNk7pLTsO/V2jdGik5wOsT1Fe+B+P/So9/tgv0oc/eGo1xk2EGAM/ef5n04MP/LAaC2McjTKfXXbZZdg5U433jyvB1ksr62I8j3E9xvRQv7hjJyZ6W+L8t9+Z8V+qfrtt6Xab43mxvbEf+dl/PDZs/zz4xaU61yv2zyP9dxrv34v+JewDAEChnKALAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAACiXsAwBAoYR9AAAolLAPAACFEvYBAKBQwj4AABRK2AcAgEIJ+wAAUChhHwAAipTS/wf1Lge/rJlT5AAAAABJRU5ErkJggg==\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59007,"title":"Compute head profiles for steady 1D flow through soils in series","description":"Cody Problem 58966 involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and Cody Problem 52070 involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\r\nWrite a function to compute the head  at specified points  for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at  and , and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 156px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78px; transform-origin: 407px 78px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 308.35px 8px; transform-origin: 308.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116.167px 8px; transform-origin: 116.167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at specified points \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 187.467px 8px; transform-origin: 187.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function h = flowInSeries(x,xb,K,h0,hL,isconfined)\r\n  h = interp1(xb,linspace(h0,hL,length(xb)),x);\r\nend","test_suite":"%%\r\nx = 0:100:900;                              %  Positions where head is requested (m)\r\nxb = [0 600 900];                           %  Locations of boundaries of soil units (m)\r\nK = [3e-6 1e-4];                            %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 10;                                    %  Head at x = 0 (m)\r\nhL = 9;                                     %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [10 9.8358 9.6716 9.5074 9.3432 9.179 9.0148 9.0099 9.0049 9];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:50:700;                               %  Positions where head is requested (m)\r\nxb = [0 450 700];                           %  Locations of boundaries of soil units (m)\r\nK = [2 0.3];                                %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 25;                                    %  Head at x = 0 (m)\r\nhL = 22;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [25 24.9333 24.8664 24.7994 24.7321 24.6647 24.5971 24.5293 24.4613 24.3931 23.9336 23.4652 22.9872 22.499 22];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200;                           %  Positions where head is requested (m)\r\nxb = [0 1500];                              %  Locations of boundaries of soil units (m)\r\nK = 100*rand;                               %  Hydraulic conductivities of soil units (m/d)\r\nh0 = 13;                                    %  Head at x = 0 (m)\r\nhL = 12;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 100:100:1400;                           %  Positions where head is requested (m)\r\nxb = [0 1500];                              %  Locations of boundaries of soil units (m)\r\nK = 50*rand;                                %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 21;                                    %  Head at x = 0 (m)\r\nhL = 19;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [20.8726 20.7445 20.6155 20.4858 20.3552 20.2237 20.0915 19.9583 19.8242 19.6893 19.5533 19.4165 19.2787 19.1398];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [1 0.2 30];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8649 37.7297 37.5946 37.4595 36.7838 36.1081 35.4324 34.7568 34.0811 33.4054 32.7297 32.0541 32.0495 32.045 32.0405 32.036 32.0315 32.027 32.0225 32.018 32.0135 32.009 32.0045 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [0.2 30 1];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.0702 36.1405 35.2107 34.281 34.2748 34.2686 34.2624 34.2562 34.25 34.2438 34.2376 34.2314 34.0455 33.8595 33.6736 33.4876 33.3017 33.1157 32.9298 32.7438 32.5579 32.3719 32.186 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [30 1 0.2];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9971 37.9941 37.9912 37.9883 37.9002 37.8121 37.7241 37.636 37.5479 37.4599 37.3718 37.2838 36.8434 36.4031 35.9628 35.5225 35.0822 34.6419 34.2016 33.7613 33.3209 32.8806 32.4403 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [1 0.2 30];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8753 37.7502 37.6247 37.4988 36.8628 36.2156 35.5566 34.8851 34.2005 33.5019 32.7884 32.0591 32.0541 32.0492 32.0443 32.0394 32.0345 32.0295 32.0246 32.0197 32.0148 32.0099 32.0049 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [0.2 30 1];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.1338 36.2469 35.3377 34.4045 34.3982 34.3919 34.3856 34.3793 34.373 34.3666 34.3603 34.354 34.164 33.973 33.7809 33.5877 33.3933 33.1979 33.0013 32.8034 32.6044 32.4042 32.2027 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [30 1 0.2];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9973 37.9946 37.9919 37.9892 37.908 37.8266 37.745 37.6633 37.5813 37.4992 37.4169 37.3345 36.9194 36.4996 36.0749 35.6451 35.2101 34.7697 34.3236 33.8716 33.4136 32.9491 32.478 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200;                               %  Positions where head is requested (m)\r\nxb = [0 unique(100*randi(14,1,randi(6))) 1500]; %  Locations of boundaries of soil units (m)\r\nK0 = 100*rand;                                  %  Hydraulic conductivity of soil units (m/d)\r\nK = repelem(K0,length(xb)-1);                   %  Hydraulic conductivities of soil units (m/d)\r\nh0 = 13;                                        %  Head at x = 0 (m)\r\nhL = 12;                                        %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6)));          %  Locations of interfaces of soil units\r\nxb = [0 xi 1500];                               %  Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1);                   %  Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand;                                   %  Head at x = 0 (m)\r\nhL = 25*rand;                                   %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6)));          %  Locations of interfaces of soil units\r\nxb = [0 xi 1500];                               %  Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1);                   %  Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand;                                   %  Head at x = 0 (m)\r\nhL = 25*rand;                                   %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h.^2)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nfiletext = fileread('flowInSeries.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-24T14:39:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-24T14:38:53.000Z","updated_at":"2026-02-12T13:44:49.000Z","published_at":"2023-09-24T14:39:24.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at specified points \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59147,"title":"Determine aquifer properties: steady pump test in a leaky confined aquifer","description":"Problem statement\r\nWrite a function to determine the hydraulic conductivity  of a leaky confined aquifer and the hydraulic conductivity  of the leaky confining layer given the pumping rate  and radius  of the well, the drawdowns  measured at distances  from the well, and the thicknesses  and  of the leaky confined aquifer and the leaking confining layer, respectively. \r\nBackground\r\nCody Problem 59002 dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in other pumping tests, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\r\nAn analytical solution for the drawdown can be determined by solving the equation\r\n\r\nwith the boundary conditions that the drawdown far from the well is zero (i.e., ) and the flow at the well is . Using Darcy’s law and the convention that flow to the well is positive, one finds\r\n\r\nThe governing equation is related to the one in Cody Problem 51783, and it is the polar coordinates version of the equation in Cody Problem 59002. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 819.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 409.55px; transform-origin: 407px 409.55px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 179.325px 8px; transform-origin: 179.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a leaky confined aquifer and the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"18\" alt=\"K'\" style=\"width: 19px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the leaky confining layer given the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.5667px 8px; transform-origin: 36.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"rw\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 86.35px 8px; transform-origin: 86.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the well, the drawdowns \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003es\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.2917px 8px; transform-origin: 74.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e measured at distances \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the well, and the thicknesses \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB4AAAAkCAYAAACe0YppAAACB0lEQVRYR+1WyyvFQRR290qxsqJYUBY2WMjGgpKd8toqj4WsKJYSImuPLJXHf0CysPJYWrBgI7EiYs/33c7U9LtnXt1ykzv1NdP9nTPfOd+cM3NzFSUauRLxVpSJf035PyF1G+R4Ax4iZaH9ErABnGR9fBn3wHgRqAKaxHEY82EkMe0GgR1gIoXY2N5axDWSdQz3pxgNpGZsNr/AogO4A5pjGGEzBBwIYa/mEyquaji9iuM65rlI4m3YjQJqttwjRGwipy0jLygSRyDP+P1GfFSTELEpkC9410WeL6v5DOgGrl0KhYgZea3vrJSN5/FbPVBQybatj7gBhvdivIB5BZgEZgDTXpdYT2cyI/GpL9vQGXODZSFulHUX5j2RnT1qRkqb5X18GR/jOy8RttEj8A5MAby9ONaAWVkbRaxY/Esf8be4vmBmhY5YpPzEoBgch3o7+ahdxHYbsaJbgewdbROn9Hg+HhcxL4DxgIy21Ck97iU2bUSZWzISGwXNHc4a6HTYONXWMrbbyHV2tswsuK3oqhJDjZi9uinf2zFrt4/J9gjf7UqP5teITRu5ZDbnT4n7laKLIteI+Y5WAtozaNQoilSral7wVxKyTczncR/g2bJ1VlOLKSuDljE3HwP6gCfgA+Dfn3Ng13HmUfLaRqHXKXnDWIcycaxSRduVpS5awtgN/p/UP1TMZSXbpcoRAAAAAElFTkSuQmCC\" width=\"15\" height=\"18\" alt=\"b'\" style=\"width: 15px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.767px 8px; transform-origin: 229.767px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the leaky confined aquifer and the leaking confining layer, respectively. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59002\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 59002\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 310.817px 8px; transform-origin: 310.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/49743\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eother pumping tests\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 215.092px 8px; transform-origin: 215.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 254.808px 8px; transform-origin: 254.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn analytical solution for the drawdown can be determined by solving the equation\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAREAAABJCAYAAAAaPhKgAAAQRUlEQVR4Xu2dWag1RxHHzbvi9qSIQvQhIaKCW1ASjLiAuKCCSyLygeIGLkEU9SEEkRgUQRHckKASggsRgiIo4oMScIkQg6JIfEgQfRA39F3rp6fgn77dM316mTMzpweK77v3Tm/VNf+qrqruvuxh4xkcGBwYHKjgwGUVZUfRwYHBgcGBhw0QGUIwODA4UMWBASJV7BuFBwcGBwaIDBkYHBgcqOJATxB5tvXsY0bPM3q40Z+NbjT6RlWPR+HBgcGBVXGgF4gAIHcZfdbol0avNXrbYeSftH8/uCoujM4MDgwOFHOgF4h833p0W2B1fNh+vsXo30aPKO7xKBhy4PX2i3uM/jBYU8yBx1jJzxvda/Tx4lrOtGBLEGEiXmf0BaOfGr3M6G/CV/7+18PPjw3+thf2P/kAlI+yf1/aaVDvsHovGT3S6AojlolP3Sk/lYXw9u1GrziMW//2M/vhx0a3HvgAj647yKO/h/K6w+jLRr8I5ob3AZHfGV3Zad52W20NiPgH8yTjzlVG+D0+YjSF5P/ZqdA7LwBRnh8Y9QIR6ldA7t3W2oRfx07fvmn0zgN4aF/1PcDhzRHw8PexnF+SIb9r48Uq+lMDIj6AL9p/3N/xnImJ4kO7f4EPbGnGskx7hhHWB4K4BIjQBoDMMwfcS/Ojd3shiMRkjnfuNsJSS4GM99PrOxeLrvn8tACRT1ivPmA0NwmYjDhVXzgBNM0HuECFgKP7I/zD7m0dAFZoT56nSPsLDPfkTfjSg45gYTzfKFw2AyBPMMIHN+fjwKf0daNzA+NmE9kCRPB/PPeA+ExI6vmT/eF2oz1HZpYCEbf+Yh9RM+FYaUWkCPiyEStDZY6o4I+M/mV0yQgwn3uo7xqjc/ArzfGi6O+1IKKmJetSnKqxB2sF30ls7VrU8ZUWWgpEfmvjd1N9CrhXyqaqbqGMHneoQWXOLWKA411GudEqAAdLOiW7VZ09h8K1IOKmILxKmdW8Q5JZGK3ZI3+XABH3LcG/KeDeI3+xNH4uA0Pm/m70PSOsYZbLHqHJGT/1fc1oRGRyuJV4pxZE3LRMmdVMEglnNxyhGSqGc/KirUHEoz5Ps5H904iwLkLPWp8nFirXTOHfHMrcZ/9Sx81GW84Y9lwjxo7MvdfozgMv3lowNnxLlxvlWCGuDIlEOl8JK19vhJWtfpmTC+KSHTgGRDQ/AWH+qNFNRpiWXzIihq+PZ62y3gxNSwQ5XNrsQfhbgoj7PVj34/SDh+FHFGpQlpcPGBFuJ8SMaa+Riqno2ZJyV9qWh2IpjyPflzW9x+WObNp0eVb/y1n7U3JAxMGALFNHewTz1zKJb7D/q4ZDg5L9B2KD1vpcaz/8ykhBZy/C3wJE4IWb56HjUKMyse0DCjJqpXhEY+tJfvgvAMjwiSmxUqCKlXPwCpPRkHksvLNeDs2BiIdlYWwYmvWoDJmAas6p5ktNZKg59iL8LUDEBZYszNCPpCDilobyWPmo/hKfkzAc2vJD612Xjh2ZwxlKlqk/PQFSLSD1/bHEeY3RuTm3HzLXUyCiTqzQ0qASBxGE/epKCdqL8NeCiEcY+Ehi+TRzOTnqdA3BvXKKTl7cx05HXOZcBvldaLW17LDmprSQ95Z9O3ldKRDR5UVqclpmTO5F+GtAxJeAmOsp89w/mqlkNs0g3pPAe1ibj8aXcmqd8PuevpFY+yf/gBt3wP2eXu0T7T+zuV0pEHFBRJuR0h06RnXyWk3cHoS/BkTmtg8o0E5lV4bLyd7+gsZyHK0uTHXXpZwmn/UETXekuk8mZp0vwYsebbjMkOWrOTM+ZtqM4cD/+hIDkZzNXT5xc6nuxwx4D8JfAyLuNEyFy9Wcn0t1DwW+FdAfM58t39V8pFDmFFxps+fHrcuaPR1p4RZuTOHMHuERA5GUf8KFImepUypAPYXfTTWiRb1S70tBRD+E2PJRlzoxkGFslNNcBQWdrR8EpdZGbCmnYwVkHl8qgEE5voVw7436YWLO7UZNL1aNA2PKD0dHXMFF5SgGIjphMY2nZndtxuSSwq9p0b226ZeCiC4PY9og5kCkzKONmC/+/hUjTZpSi3LrSxpNdY8t5VSxIfStNtMxn+E3oFZRT6tnKRRx3k6Br0anLmBGDERUYMOwWejIcgYDLGGyWQ4TlhT+NYOIWiK6rvcTt/SYAYCbIyfJXH25Ef4qhD2moR3Utqwxw+VKammm1kiLyJTLeghI/vsWbeR8Iz3f0QjslLNeeXsBOOcsERU+mIe2e9CIfQpuVhOrJ0uyZImwpPD3BhEF2JITshS8mVAS8t5k9BOjbxuxXZ0HkMFrfukAHPwuBha+LJ07T6OnkLaoWwWY+lL+oFDB1YZ8U2CxpwOMlLdT1tukpRwDkTCpB5AgmYzEJw5cJt0dEOFB2P9hVLo7d0nh7wUiLMlebeQHEvmHg3lIeOxbRuFxfLGPC437OakHIPqMEUsUzxAma5hsVk+Dpx7a5b3vGD3dCIDhYWsC7R+zIS3Wr1P9jnG9xci3/Xs/4AtjdaXFey8yAnA9DT717jFjQV7gJ2DOkYzsXYK3/Ovzckx9a3xXXRe5IHIhApYK8aLF3n2YFMw2FVzXcCrkJQxaWvh7gUjJ2EeZwYEYB9QaLeXQMVEjbS8XRC7UP5f2XjqQNZYbILLGWRl9Ug6cEkSm/GbqpB8gYjPW++jC8VkMDmyFAwpac7lE7nrYNYiEjrXSiWwVHixtfw3lQmdmSZ8GH0u4tmyZsZwJ+D1ApJ0ADhBpx8s116Q5X7k+kWzH6poHXtq34RMp5dwot1cOaHZ6LohcCJ0Px+pexWOMa4scWNqxqslmU3k1k1thQhC5ecWc55Q0ci5Kn1aWCOd8hLkLuX3iOgMmS5+a+nLb1fcIzX+6pGDjMuRgkF9zDs8dNsjfZwx0aRChS572PpUg6fkk0V39IYi4BzZjvIu/AoCUfrx0thWIvMfqItmo5KHc+4KCNfWV9OGHVujFJQUbl+Fay682rnOt1b3SOkaC3Bof3Zmcygb2DXjRPVghiLxgjaM89Okv9i/WSOnTCkRK2x/lBgfWyoGpowAcZJLHfgyfyFqndfRrcGA5DuhZPrrBTk+0f5V1J7p9Y4DIchM1WhocWDMHAJIPGbFPiMfvOeL8Haz45I2CawMROssgrjgMpOUOVD+UKLyuYs0TO/o2OLB6DqwJRPAAc27GbUYctsPtZoDJHs5t6CUI7Px9ltGWb7XrxZuwXpIR7zEquanu2LLndHVs9IzVpSZV2/HrNjluwCdZL8gaKdT/5xbC/H4jtvn7cQxzex5OMZ+lbWItXmeEHOglVSgSwqSEyAFMwJNDsMLt/2RT3mXEkYbkNrCOZ/u+HxGQezdNTVnG7mHTPZx8NjuXLS2R2HmUsx04vMAyhtO6Qo3qablbP94vlw+57/n1BS0Pys5te4n3NB0bAOEcGzZOhk+Yts3Pamno7tNjD4oqLesJXHudmwuTUAMiTJgfggPS99gd62HZYYk8dOpy7p9Z4mPv1YaCQ0qu9IDhFMjQP899KlFEJWW972cjszUgwgTpobU9mOaZcnsy2Vt8eC7ctQdlt+hLjzr0YObYGB1AWL7cYJSKHKh8HnvObGlZrESWm2dzyXctiPS4xEqFEmHijNGzvus0+EpVuOfun+nxgfeuMzyYORyjKxYsC5bQU45SvYRN74vOGUNJWe97D4Wa0+eTvFMLIr7cSF24VDMotM1NRtdMaJqa+rda1oW7B8/XwBNNw9Yx4mvghPvwlrapPrtFU3IzXklZQI10/i1fnH60DNSCiDv4ak/WDjvukZlL9oeYQ+3oge6ogAt3a56vhUV6x4mPEWDh4qQ/GhH6z5GJ3GtHY+MuLUvfSVE4q5B7DYio97r12hxwunkDkwEPCDWS13KtEeFEX3552Nqv17jyyK9UMwj9pPEbrQ6/OkLDhz37cWS3q1/3zV5UhFwR8mXjJYCip9zPNaQWDT41/CZkZGpYOJXMWFoW8Di7pXcNiOTs/pub6NjfmYh7jcLrC0vq6l2Gj5dkL64s4CJkF3zC1eQ0aK5Dbo4CdajmxTxmz4Ke/cA7Wl+vfvTmX1h/OEbCpET+SjKX3aJhScQlX981AoxJ4wbwPc8mFvqtKbs0z07eXi6IeJKT32ly36HnaIjYJJRqRgCEe2zC2/Ro/5lGawWW0MEMgBB2vNyIe3swv99olJMtOeXz8KhMao3fsh+nEE49/CZs/xgQpqxbNPAeucWfovIzdUhxTdlT8O2kbc6BCGDAnTOgNqakJ/PoujUWfy/RjNR9vRGZiWgMfwiXsZ9mzQ5WdTC7tiu5EdA/oujhL8YDB5HUBd2t+nEqodQPmzHqPqpj8jwUTP0SsXA+9BxZXRrWlD0V307a7hSIYFqSQow5Gfo8dAKm4u+5mhGLBo2denoksrVkvAs/Vhkgoun7ue0or2I+ppxweot+5Pa3x3t6KJZfuo7C8ic3pK3JalhtsflIyXBN2R48WX2dKRDRfSsxDeATMLc5buuaMWcC1cHM+6X7JTzSNSf0qXTqVv3IGXOPdzT/ReVKrZNcZeK8pJ+pREWvN5ThmrI9+LL6OlMgohotFvPOTbveumbMmUAV/hQAzNWTk/nrod3Uh9SiH3P97Pn30AK4+tBYmHw2l3mq76d4pYCrofKasj15s+q6YyCiwpjSqm52TmXmbV0z5k6cXopcaoWojylmss8tdehri37kjrnHe2oBhHKlY5vbSKdRw9R8qCXNQdl+YldN2R482USdMRCZ2yEaxtBTN95vXTPmTqBbCDW7NvXE7Zjlpx9Yyi/Qoh+5Y279XmhthEsQFNIDRh4yn8pLcsBJzQdtkUJAXSmwKinbmiebqS8EkZx7KOaWOj74rWvGnElUfqUiJjn1uGUX07LqAPQ0cOokccojDq36kdPXHu+oYkp9wMqHC/fBSqc0POvOWe2zZlkDRhp2rynbgy+bqDMEEZ3MGNqrdTGXdr1lzZg7eZrXULPT2HkVOvmon4N1rjpoTk+6utt+1vTvVv3IHXfr91ThTPkx1BqJgbaCaSwg4O3Ektdqyrbmx6bqC0EkFTtnUCmTEgFmUnQ79tY1Y+4k5lplc/WF1gZ3lJBVSY4M2Zb3HypASxNCTiVObXFTXihXU8pJIzWwJFzaKZgqiORs3qspOze/u/77lCWiSM86krThB41w8vkEcgkSt5iF2Zhb14w5k57y8OeUDd+hLrIpSbZjre4JUrfa/zG33fGKlv6UkW5Aa9mPkr7XlAE8wyMOqQ8AuFPGyXts5Y9dXha+izWNTCKnRMsAYoCXnKdQ2YV9rylbw4dNlw1BJNQKTBAPwn2LERvNfI+IpxOjKcNDYVpp6E0zd3R+cOAcOBCLzoDgXPd4xYEBqv34GxoCB9TtRq4plVdb1oznMOdjjIMDTTkwt3emaWOjssGBwYH9cWCAyP7mdIxocGBRDgwQWZTdo7HBgf1xYIDI/uZ0jGhwYFEODBBZlN2jscGB/XFggMj+5nSMaHBgUQ4MEFmU3aOxwYH9cWCAyP7mdIxocGBRDgwQWZTdo7HBgf1x4L/iidGG/PUkZQAAAABJRU5ErkJggg==\" width=\"136.5\" height=\"36.5\" alt=\"d2s/dr2 + (1/r)ds/dr - K's/Kbb' = 0\" style=\"width: 136.5px; height: 36.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 239.6px 8px; transform-origin: 239.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewith the boundary conditions that the drawdown far from the well is zero (i.e., \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"60.5\" height=\"18.5\" alt=\"s(inf) = 0\" style=\"width: 60.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) and the flow at the well is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Using Darcy’s law and the convention that flow to the well is positive, one finds\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARsAAABGCAYAAAD8SjC8AAAOvklEQVR4Xu2da+hv2RjHz7wn1zcmUXhhcs+1ESGXEskolyGdwmDeTHIJSZPE5JKk3EKnaTAIuaRckjByjZkINXRIeIOE1zwfs7+n56yz1t5r7d/+7b1/ez+7nv7n/Pba6/Kstb7rua21LjsTT3AgOBAcmIEDl81QRhQRHAgOBAfOBNjEIAgOBAdm4UCAzSxsjkKCA8GBAJsYA8GB4MAsHAiwmYXNUUhwIDgQYBNjIDhwOAdeYFn81Oh3h2e13RwCbLbbt9Gy43HgVZb1WaO7GD3Q6C9GDzb6+/GKPP2cA2xOvw+jBctw4O5W7N+6or9hf5+xTDVOp9QAm9Ppq6jp+jjw365Kb7a/71xf9dZVowCbdfVH1OZ0OPB0q+rXu+o+wP6GvWag7wJsTmdwR03XxYGPWHWuMfqN0ePDXjPcOQE2wzyKFMGBHAd+bT9iHP6sEd6oeEKyiTEQHJicA/e3HG/vcn21/f3w5CXckSFq2hePmP+Rqp3PNiSbWdkdhZ0gBwCWdxg91OifRri7b+x+ozn3MEpd3o+2395udKXRr7pvbuvyuN7+fqaSDz+0dN81ekNl+lUnC7BZdfdE5RbmgOwyqEp4nDACv8kBDfaaK5I64hL/g9GdjHCH4xbnt1uMULseY/STynYF2FQyKpIFB06VA4DD14wea5TaZLwX6t0ZqcODkZd6CAT8kFFOEirxKcDmVEdQ1Hs1HGAyP6pb9VdTKVcRbCWAyo+Mnmnk1SQPNpJcfBs82Hh7jqSbFs9VgI1xFuv7VUbosYiGehAZN2PQmmkWyCbwBCvvXl2ZiOdfyayaM1XpKMVgp7iv0YOMUDFyKkhfwe+ylw/rQMCnY6vATUafM0I9AQyeZ3R1V47SIqF8wWjIXkI5rzf6t9FTujx9eXpf2qLgjcfkQZvHbmPYNdgAMu/rJgWd93EjAIaHTn6/EeATsQd+eJb/jWiNKM7kyz2tE7Ku1OVSMX5u7or/qP195YiqyOXMp/DnWUa5gDqlY8K/3GgIZMgPoPhF1x+l+gEAqFd9WxRk6yFPpKPHjWgnn+wSbBAB0Tefb9TXed44trWJMnK8FD/TwP6TpQCkf290NyMkRvisZ0v7brwK8sJKAEgZ6MGmtE0AYIGHfWCU6xgPEjlDrpda+rYoeIMw5YwF1t2BTcq4oUHiOyz2jJQhCrsAbtTUJsAXuE5/7D7dSji8xsZY9cJPdtiT44uAhgmO/aRFhfmXpZeKl7OtSIUqle17mz78dpcfv7d4oZTP7sBGYmMtQvvVC7328vJ82+0bSTU5m4CYoknD/48ZODZnJ0gqGatayKNDnVNVXYvive0dcTGtGyM9kOWigr2KlTMTUDe+8+DmwSnnuRri/a7AxksptWd2eLCpWQGGGL7F9wzMJxv1hbl7+8YWJEQ/mcdMPMaBB2APCPDqY0aopNcZyY7YMnb8uM2pPX7RVdl8g+pLvXh/zshHE/tjKMaoUrsBmxQ0htQndezY71oGxh7STmHfWBOfvFQyRqWgLVJz+LekPS2IAMy1RmN3X3sw9JKX7JV3tbzpE5X9M/sHkcQyUHPcRM6+pmMocm7yof7ZDdh4JK+VamCeH1T8vxakhhi/t/eSbLBvPLxnEunUODwkQ0+qvjCR8AixOj/R6D5G3zOibGwOHzAi3ymM/ZJKNJYoE3UHmxV2EtqJE6IUmp/asQAsJjveTyQ/QKfFPpPjlR/zAMetRi/peILbXJ40+AivzhpJisqBimJukIQAx9b67QJsUumkRez1qhcd2hIxmRsA6W9eD65JX0ozdnU9pMyWb32ofE7dSg33NXmn6piC655qHxNbwsOkYNX2xs0p+lFSCRPvPV3+ROkS2s+EVoxRSd3wwXIAEw8gNaWKiXTzQSNJMIAsnkJUI3j1S6M7G1FvbV+gHgr7IDaKWCCAiAcHADFANxi1Ag3f7wJsvG5Mo1u8Id412SIRdf0z+GcvYPPnbmDnpBoBDZv0Pm/02m7Asyh8q+PgOfvLBPbHVaJi5NQMv7gAwgANgXH3M0LaYPV+0cgJQ3W8VAKYPNvobJcv733IBEDChE4fRfWmv08hdQ0OuoUS7AJsGOg+mrU2xNobxOifLcWIzDnepIqWVm3eo4bI46L+0qIg+0NtcKUAnPTsbJ56p7FfIFiAPNCIr16FyUnDUlNIj/TlgyG3qqpvHmxSwGixom/ZXuMH+xjgKa3YaV5a5T9lL2oibMVzb4+RClar/mqiC2xysT9j2qxvvLQ7FJmbi8Hxkpfev9Eyl+q31RCLzYNNaq9pifHwgyq3iU3nfJy3gYJui74+xnB2yMAf++1cYMMA46md8AIKLwVJ0qmxS6WLy9RSgs+/T60Wf3MxOLnwf696wa8pbTdjx8jU3+0ObGoH35DLW+/9aose/hCjuHPnjmGqzYq1QOPdtVKhxOdae5mP58ktEIdOIC/tlgDB1yG3uPlFzI8fn/fYqORD23fM7zcPNmNXulzQk+8IGTz9LlgZDltUta0aiFuBBt7mDt2Wcb/2bFzvDKhdWFommPLvc+F7NS61D6bjMZXWvH2xZRy1tGGptJsHGxjrO7BGjfJuydzqqJUr5zmQ+Fx7auAWwaYGaJh03n3q1Qit9v4332+Aeul0OPV1rSTUOvGUf8lZ4OOJ8ICl0b9eesnVcYqI9XtauXJXt7ZvTPr/2Ee/rfhwF2DjJ/TQCundmqVdtsqvLwz8GKtqRX8unoTJ9NYBVVIBdv6ogpzEkIs6hvc8uWA533e1xuQWhvn8cyqU329UUrG85FUCrDQYr/V2yldYoxibcz3ft4I4v2jo2QXYKIBJ7u9SYB6DmzgPgqv6oiQ1GPrA5hiDfagzl37vXdwE0uUeYl3gjc5k8WcKkd4vBn6RQMLEAI/9pxSB7CXSPmMyoPA0o0cY4Rr3wMU7jnOQG576vaYrF28aUcI86WLigxL7jLteyi6lS6Wb1q0BRCETQT3X81cr6MsVhfWBDUD+yK5PzttfVGo8dLSj1uaXq4IP9MSJQ3wVpyoSy/Ud188V1b84SZ/qQmO+ZATgIL4+x0iiuE6XY5DxjsHFClR6asBma/r2UGekYQJ96b364PcH8TsrpAL1cnn2qcF9tpK0PrKdpG5m8kAFubz7QGoR5T7XSNG4HmxqN062eEa9t3ArrvAhsHmd8Zc5CAg/yehKIxZ+eA0QKTRgaCzyXvNPYIPzRnNbB+YdFEA5ZCehYNCSiE/QXw/Gvh8YcQRouq0+17AAm4u54r0vLQOBtEgvTOTcDmf6Swd1M1DeZuR3IfuyvOF1SFXWd+pHeb6QjBjoAKDAhrQMVDZF/sMI6ealRhz9oGtN/jgwdljMkJ6uNvKnGGr/FKs4AEs68mc1T/eGpWlr+Ly2NENqlBwESLHnjL5pBPjwO0Gf8Kf2oa8kTGhs+Lgr8uWAt9SmVpv/mSGwUUYSz1vsKjRUK65CzfvUqL1JNtWdtKKE6kfAhueTRuz/AUi0xUBSb9/xGStq0qqrMgQ2h54PVGq8XwxbVdIiQ2vARgY6EO0tDv36eonKXm+k7fdhIF71mK6unPpRKtJ77UukJ6QKSTsAUu04qS54xQkBV2wafWaEsdXvAxsvmdYEb7bUwR/b0WpsHwU2MPGrRl59UkaI6Oxw/bkRopskGHTslxlhoPJuTOneuehQ6dpT7w5vYW6kreOA30N1m33CoqKBCdhgDK65waCutHWmYixjLEWik+o29WRXy/vARva53Jzi+9YQEa9ZyCg/mVRDhUqSjTfg4X3gqTkvhXQ0/sUOgMQ4NcCXKddobNhc58RKayXvlTdMa1DTh+eNavZznUZr+2spFeZY8UmU3gc20jhKpg2EhTE2G7+J94opOyoHNjpQiaMK0kAwQIhzc3GJ6f4f6oMhiZ3CHE1QEidL2xWwoPcdDjVleyOvwzigPvQeLgEQYHPIMRSH1Wz+r2UsP+ZCiUpauocNozzkvZFTcEH9OXkoSo3NZooGKA8GKzo+8R968GaMPcpxyrpFXsMcUP/5OA5+44Cp2mNIhks5jRRS/2si7Kdu0TE1AjkBcqoh5XLQGsJBqi4jiODRkrcKiZetSRccBXODzdRMj/yCA0twwHtrWg6WW6KuU5eptvtwCW2TIexC4OJtef8XJgJspu6KyG8PHMhtgN1Du9VGpDofOFna/Itd64LdJ8BmT0Mk2joVB+TsqA2GnKrcteQjexGBnEgyVxkR9OftV3jLeC4ElQbYrKX7oh5r5ICPoMcry7YMtubc3FXWe4LkWJnjpoqleSXjOHYdbuDA+3y7k3Z0cPxFDoMAm6W7LcpfKwdYmfHIsC2E7RZ4ZtPrZHxs2Jw3VSzNM7+nTrdPoDIRe8RBeJ82uiSwM8Bm6W6L8tfIgT6bTN/xpbTFbx49xk0Va+CXPFY+oNCHAnzCKnlJCEyAzRq6LuqwJg4ozqR0sqDAphSHcuybKtbAK20G9nfVC4CK8TkBNmvouqjDWjjgpZJc/EwqteROP/QqBnaeQ86WWQtf0noANqhMPlr8kria9KMAm7V2Z9RrCQ74XdQ5kJDUUtqiMPb87iXaOnuZATazszwKXCkHfKBe6UTA2vOUaWLuLO6VNn2eagXYzMPnKGX9HJDNgZrmooKHVCy+O/ZNFevnYk8NA2xOuvui8hNyQFJL6cpif3dVaYvCsW+qmLC582cVYDM/z6PEdXJAXqbcObv+bBiBEa3gyFwd/n7smyrWybWGWgXYNDArkm6aA5JK0ps1cYVz2L+OVNEtIrfYb9cZaZdz7U0Vm2ZiX+MCbHbb9dHwhAOp9MJJlBykjouX420Jx+fBE4VL+0YjXV/D7y03VeyS+QE2u+z2aHSGA7itAQ/d6ACo3GR0gxE3kcqAjCTD2cv+loExN1XsrhMCbHbX5dHg4MAyHAiwWYbvUWpwYHccCLDZXZdHg4MDy3AgwGYZvkepwYHdcSDAZnddHg0ODizDgQCbZfgepQYHdseBAJvddXk0ODiwDAcCbJbhe5QaHNgdBwJsdtfl0eDgwDIcCLBZhu9RanBgdxz4H2vr0nRGZNUJAAAAAElFTkSuQmCC\" width=\"141.5\" height=\"35\" alt=\"Q0 = -2pi rw b K (ds/dr)|_{r=rw}\" style=\"width: 141.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 146.267px 8px; transform-origin: 146.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe governing equation is related to the one in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51783\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 51783\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 169.983px 8px; transform-origin: 169.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and it is the polar coordinates version of the equation in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59002\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 59002\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 370.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 185.35px; text-align: left; transform-origin: 384px 185.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"504\" height=\"365\" style=\"vertical-align: baseline;width: 504px;height: 365px\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqAAAAHnCAIAAADo63jbAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEtSSURBVHhe7d0LfBTV2cfxoFxVCAFRkSAJkiiCCAmgYFFMBKzaWgmI0JdqBQkXrYpIE3qh6luCFtF6QUBssSrXgLUvVS4SUKooIQmiCIZLFgkickm4yF15n+QM03U3m8yGnezOmd/3k896zsmSrJvdec5/zsxsrdOnT0cBAAC9nGP8FwAAaIQCDwCAhijwAABoiAIPAICGKPAAAGiIAg8AgIYo8AAAaIgCDwCAhijwAABoiAIPAICGKPAAAGiIAg8AgIYo8AAAaIgCDwCAhijwAABoiAIPAICGKPAAAGiIAg8AgIYo8AAAaIgCDwCAhijwAABoiAIPAICGKPAAAGiIAg8AgIYo8AAAaIgCDwCAhijwAABoiAIPAICGKPAAAGiIAg8AgIYo8AAAaIgCDwCAhijwAABoiAIPAICGKPAAAGiIAg/AeXJzc40WgABqnT592mgCQASbOnXqe++9V1RUlJ+fr0aSkpLi4+P73TXw7rvS1AgAEwUeQKQrLS1NTU0167q/tLS07OxsowOgHAUeQETLzc3t06dPSUmJtCWy9+7du1evXtL+dm/JiuVL58+fr74lpNG4cWPVBkCBBxDR4uPjPR6PNDIyMrKystSgScJ9t27dNm3aJO1Bgwa9+eabahwAB9kBiFxTp06tpLoLiewbN26UZC/tWbNmcfAdYCLBA6g5EriD2ovepEkTtQe+8i2VzANGjBghDRbjARMJHkDN2bx5c3x8/Jx5C4x+pXJyclR1HzZsmBoJZPjw4aqRl5enGgAo8ABqztairzwez8AB/W644YYqd6cXFhaqxk2pvVWjEmovvdqfD0BQ4AHUnNL9e1Rj1apVXbt2TU1NLSoqUiP+tm/frhoXXRijGpWIj49XjUp+IOAqFHgAtpCAPmfegswzkpOTpZw/9dRTxrfL5eTktG7dOj09vbS01BjysnnzZtUwi3clEhISVIMCDygUeAAhI8V16tSp/fr1q1WrVkZGxmt/nxFdTr710ksvTZw4sXdv353tMTExTZo0MTo/Zp7gLvdRDQDWUeABhIDUdQnoEtMLCgr63TXw9OnTy5cvf/fdd6XMqzPcrrvuui5dunjX8ri4uJdffnn//v3y3QoPrW/Tpo1qmFG+ElbuA7gKBR5A9ZWWlkoul7I9f/78+9NHSrWeNm1aJVeGV2m+Q4cOs+dmS9w3j36vkDkbOHTokGpUwoz7VvbnA25AgQdQHVLaMzMzY2Ji1q5du2TJEsnrVj7xJa51wooVKz799FMrd27VqpVqrFmzRjUqUVBQILfyeCjwgEKBBxA0Se2tW7fevHmz5Obs7OwuXboY36iK1PWePXsanaokJiaqxvz581UjEPOM+ZSUFDXiLT09vZaXCg/oA/RDgQcQBLVDftmyZXl5eVLabf1wF6nW6vC6/Pz8yk+af+yxx1Rj5MiRqmFSywdS/k+XUz+TK9rCDSjwACyZOnVqfHy8FEsp7cuXL6+ZPeETJjyhGkOHDg10/ltmZqb6JNm4uDifBC+PWUr7kiVLzInIggULpMBnZGSoLqAxrkUPoAqSd4cPHy41UuK79b3xoSIRXO1+l8KcnZ3tXcJzcnKmTJkiNVt1t23b5jPtSE1NLS0t9bl+rQwWFBTInW3d/QCEHQkeQEDqSLo+ffrcf//9ktprvroLKc/qMrRS5qU216pVS6p4cnKyNKRrVnchSd1olZMHL4Xcv4p37dpVfhSn1UF7FHgAFVOXmZNCuH///srPZ7OVlHOp8d6fFevxeNQ+eSUtLU0t1Y8YMaJfv37mMXRSxYX6ljf53zFagNbYRQ/Al9RIqZrbtm2bN29eWFJ7IFOnTpXHduDAgejo6GPHjl151dXqdLuioqKUlBTzk2aGDRv21FNPSXWXoD927FifFffMzMyJEyeuWbMmov7XgNArP7AUAAwvv/yypF5JzEbfObw/VVbqvUxQpCEzFePbZ6h6LwXe6AOaYhc9gP9KT0+X7JuXl+fE48ynTZsmRV0qurQl6Ms0RUiOV9/1YX44DaArCjyAMkVFReoQdLPhRPLIs7Ozpcyb5+ibS/Imye5JSUkcQg/tUeABlJ0Il5ycLPFdQrAx5GRS5tUcRf6PfC6SI9OXgoIC/w+1A/TDQXaA282Zt2Dk8Pt9TjHXg5Tz1q1bS143T4Vv0qSJ1H6fM+MBLVHgAVfLycnp16/fkiVLND6k3LxUjpBJzPLly1Ub0BsFHnAvCbjJyclaZncAFHjAvVJTU7t27ep9DRkA2uAgO8Cl5sxb8PXXX1PdAV2R4AGXuqr9Nc89Na73bQOMPgC9kOABN5L43qBebao7oDEKPOBGWX9+4rHfjjM6AHREgQdcJzc39+DBg+pjWgDoigIPuM7ChQvT09ONDgBNUeAB11m6dGnXrl2NDgBNcRQ94C5Hjhy5rPn5ew/wxgc0R4IH3OVfSz7s1O12owNAXxR4wF08X+Zdf12y0QGgLwo84C7Lli274YYbjA4AfVHgAXdp167dVVddZXQA6IuD7AAA0BAJHgAADVHgAQDQEAUeAAANsQYP6CwnJ2fNmjVFRUVr1641hrx07tw5Pj6+a9euSUlJjRs3NkYBaIECD+gpPT19+vTpUrmlhCckJLRq1ap+/frHjh2Tb0VHRx84cEAa27dv379/v9T+/Pz8tLS0GTNmUOYBbVDgAQ1JUb/77rv79u1r9C1YuHDh0qVL8/LyjD4Ah2MNHtCQx+NZs2bN8uXLjX5VthZ9JfeXHG/0ATgfCR7QUK1atTIyMiSRS81W6+tt2rQxvudly5YtpaWlcp+4uLjevXtPnz6dDQKgDQo8oCEp8LPnZqv2pwVrvzte6+uvClXXW9OmTZs0aXJNp86qO3BAPzYIgDYo8ICGVIE//f2Jsva5daUht9JWDbOrmHejwAM6YQ0e0JMq22ZDbs2G2TUHAeiHAg/oyTujW0GlBzRDgQf0FGzBDnZCACDCUeABPZHgAZejwAN6IsEDLkeBB/REggdcjgIP6IkED7gcBR7QEwkecDkKPKAnEjzgchR4QE8keMDlKPCAnkjwgMtR4AE9keABlwvfh81snWo0AIRarTYjZs2aZXSskQlB2YfNbHnZ6APwcflwo+EQJHhATyR4wOUo8ICeWIMHXI4CD+iJBA+4HAUe0BMJHnA5CjygJxI84HIUeEBPJHjA5SjwgJ5I8IDLUeABPZHgAZejwAN6IsEDLkeBB/REggdcjgIP6IkED7gcBR7QEwkecDkKPKAnEjzgchR4QE8keMDlKPCAnkjwgMtR4AE9keABl6PAA3oiwQMuR4EH9ESCB1yOAg/oiQQPuBwFHtATCR5wuVqnT582mjVs61SjASDUarUZMXtudrA1ftCgQae3vGx0HOWP/2y8+uuWRicYTc47NffejUYHqNzlw42GQ5DgAT25KsHff+NRoxWkx27YYLQA7VDgAT25ag2+ZczxTrGHjY5lEt87t2YbCG3x4gb05LY1+Ad7fG20LCO+Q28UeEBPbjuKXkJ8t0t3GB0LLr/wKPEdeuP1DejJbQlePNw7iL30v+sVxGwAcCIKPKAntyV40eS8Uze32mJ0KiVZXxK/0QE0RYEH9OTCBC9Gphyte27Vp/7e8xOqO/RHgQf05MIELxo2iLohdqvRCaBT7OHLL6zmaXWAg1DgAT25M8GLKkN8NY63B5yIAg/oyZ0JXkiIH9x5t9Hxc3OrLay+wyUo8ICeXJvgxd3JewKFeMn3RgvQHQUe0JNrE7xSYYjve9UOyfeAS1DgAT25OcGLCkP8gK5BX84WcC4KPKAnlyd4MeYn641WuSHXftPkvFNGB3ABCjygJ5cneHFTu3PMii5pXjK9agMuQYEH9ESCF+bHyVRyXD3g7dDRqLXbfpCvFRt+mDi/dOqyU2NmfDt02om+k09PeOUD404OUev06aqv+mSHTZ5SowUgpM6tXTuxZcNZs2YZfWtkQjBwQL/CHYe+P+W7H/vYyR/q1ykLA6oRybfqAQt5EozWGfL/JYP+/3dwj02ePSdOnqpbp/ae/Yc9O/edX7/ud8dObPZ8q75bWN6oV/tkq9gWdeqcW7f8JdT28ksOHD4a16JpsyYXNI+pc+01ceX3dYZwFnj/dyCAkJACP3tudrChfNCgQVLgjQ7gHBu27FINT/G+PSWHpXLv/PZA6aEjauS7o8YboV1C85Mnv5fi3bjheS0uilaDVyU0V40r45rJbSWFSWaHV8Y1NjpOELYCv7m4+oezvrXs00+/LFbta66INadX0pXG+Q10W0p0J3kvSSZz1l8zch7z2SR4ow9EBinPkralUXrwyObte7yL9+aiPSfKd8lI5S67qyoB9cvegM2aNvQuCub+G/O2/O7BkX9IgbfkbBK8+nvv2X+45MCRU6e+lz95vfOjDx0oewVU8vc+r0HduNim/x1kHhDZ5K98Z+/kd1cUVPt1UvMi5zGT4OEghZ5vT5763txtvmGrEcc3bC5r1K1dOyG+LFubsduneEsjECnJchvC92NCbNnvdQpHJngrfzNzj01h0bcyCZBG6eGjO3cbC//mPMB86Yh2lxtzAnOPDfOAMJo546UJj2c8mvF4+qjRxlDEi5zHbGuCr3YAgpuV7So/dkLtQi89eFQi+Lf7DklRl2+1vqReg4ZNGkY3bX1JgwOHj3a5upX6J+3aGJviCEGCtypC1uDNnT8i97Pt0Rc0kNmAOX9U8wDvScA1V8TKHazPH1E98ndJubZNSUlJTEzMR/nbHFFOIuoxk+ARLmqjKpV7z75Dal+62pDKNvOipg3VLtVLL45u3Og8aZh7VZ2CBG/J2ST4GuY9CfiifJfRV3tPeK8I1Kt9sk38ZdKVGehlF5YdlqlmoBc1MeYBCJaKwqrtlBAfUY+ZBI+asWHLrtKDR77efUDV8g2bd6ntodqdrrKQNkGIBG+VE4+iD7Q0YM4A1KRVGmofgDp60yz/LS5u3PiCBuYrvn6dc9hKVsiMwqprMRB/sHLZK1Oe/WT1KtVtd3XHX94zrN+Awaprt+o9ZvuQ4BFyah977mfbT576fufuUhVv2iU0L9vH2aqZ2rJdGddM780aCd4SByX4s2SWf3l7HDl6osJ9VvJdCf11ap+bGHdR+T9yNe8orFQZiJ+ZOH7aS5ONjpfX571zbbceRsdO1XjMtiLB4yypcv7F5l2bt5dtrCSaq+1Vu8ubqwOWXbhASYK3ivPghcyCSw8dVYVfQn/ZVKB4n1n1oy9okBh/kdv28/tEYaXyQFywcceA3ldJIy0t7fdZ02WjIz9kxdK3n5/0xFPT3+mQ0NzuV1o1HrPdSPAIisohks73HY7av/fbQs+3Zjm/9OLoZk0akj0UErwl7knwwdqz//C3+w9Jpd9TUnbSSNk8+ugJddafvNk0W9Pyt21L4b//la3aLzyb9eAjmap928/7tW6TqNo+JLtLgpdGWIqTTOp37dr51vw3VdfiY7YbCR6V27Bll2xq8r7cd+jAvi1FX52OapAQ30xtYS69KJpyXiESvFUk+KCo3WVqfq3ekI0axaj5tbwh4y5t0vKSaP2eT6lSVurNC5MnSFmVxsaikrA8Cd4Fz+JjthsJHj6kostm5Os9Bwq+2HHwYEmb+MsaRjdNvqLsEmEu3NlebSR4S0jwQZESIrfe1UsF/S827/pq74kdO4r37tsjJT/24phLL47ucnUrJ55/4s9isfxg5bKhg/tKIykpacrfFjRpeqEaD4vIKfAkeJeTir656Out35zcus0jm4t2Cc1VRZc8oMHGISxI8FaR4ENOrehLyd+wdZe6goR6S19+SZ2E+Esj7ZIRVlgvllLgpcyrdlpa2v0PjAvjvvEIKfAkeLeRgF5W1LfvKfTsVm9/ieZlX1T00CHBW0KCt4NPtFLLbGUL+TuNvfqXt467suUF8m53RL23Xizlf3zK80+rHfWKpPkJz7xS82U+cgo8CV578ofY8c2B3M+2S1HfsHlXdKP6na5qedXll7S4qDEV3Q4keKtI8DVPJvier/ereq9Oeonweh9ssfzu6Impf/3zvFl/Nw9oX7wir1Vc65p8pUVOgSfBa8k83F29i1tc3Lhj29guV7diHb1mkOAtIcGHnX+9T4y7OKFVMyn2ETL9r16x9E7zkuPnvP2+GhfZc18fN2ak0YmKmvzi326/o7/RCZHIKfAkeD3Is33s5A+qoq/bWHa0TZv4y9pd3vyqhOZOXHdzNBK8VST4SGPW+zXrPQcOHlPnzIR3I3I2xXLk0IHvLVkkDfMnLHjjxWnTppkf9TZ+3MOzX3/1wUcyHxw9Tt0hJCKnwJPgHU2S+rqNO77Y+k3BFzvk/dilQ6uImny7FgneEhJ8JJOJ6ibPHnW8noR7dbTONVe2kIhfk7sBz6ZYqmvb1a7f8IvNXxtDfm7q1q5O7XPeWpoXwv+pyCnwJHjHUe87FdY3F+2RSXbProlS11tc7KTUqDESvFUk+MintuNqo1NY9O2nXxbLRkcdyJPQ6iIJE81svsSexWLZu8fV3XqkPvTo780T5Navy+v3s57SuLnP7VNmzFaDPuT/a9SQtJycnILCfTVc4GXmsfjfb234bJ3qpqSkjHzkjx06JqtuSMjDIME7hTr6Pffz7Woy3e7y5mVr6iT1iESCt4QE71BqT37el/u2bivbk9+lQ6uObWNtKvbWC7zH45FGUlKS3B4/+YOqnXXrRH2QWxTotHgp8Df3uKZxTJPX5ixq1CjaGD1rVT7mO2/tYZZ2b6GtrPIwSPCR7LujJwo9u3PW7pT3kXS7doiTos6aeoSTVz4J3hISvAZkI5X72fZ1G4tlUyVdSfad21+WGHfx2XxQ3rYthW9lv1m3bj1pq8u+njhxXLrde9yU3KWbuo+PvNzV/zt+rE/VlOw+9k8vVhKD5F8N7Nu7htfgzavqTpg0RX3SnUyYVi6e8/LzT32y/qvyu4QGCT4yyZ9b3jIbtu7aUvTVVQmtuye1TrryohDOL2E3ErwlJHjNqGT/Uf62DeXn40oi6d6pdTWuaC1zZNnq+Xxwi/h4XcAsrhw8eGDzl1+o9pXtk6vc6z78njtycnLWbigO7ea18gJ/9x035ufnX9utx+vz3jGG7EGCjxzydKmV9TXrKwjrPJkOQoK3igSvsZ27SyXWr8zd/PU3B9olNJeCHdSBQmbMNQ0bNmzMH54xOqGgDqGfMmO2BH1jKEQqL/B33HL9xg3rfU7eswMJPuzM/Vtr129qE39Zl/atel6byKnqTkeCt4QE7wZqoXHt518VfLFDup2uaimx3spC47UdLvMO8UtXe0J4zJE6Gz7kO+eVygv8pCcfnT59ujRkyvJI5lP2zXFJ8OHiKd5XsLH40y+LtxR91aljp+QrmpZ9NkR5Xed5czoSvFUkeJcwN2oq1ud+vt17wxdotd47xIc2vs98Y/6EzPtSUlKmvva2MRRSlRd42foPuLWTmrvExMTcl/5w/7t/Zcen45Dga9iGLbs+Ktj2Yd7W8xrU7dohrmeXBA6D1xIJ3hISvGtJyV+VX1RW7NdvT4hv1qV92Xqk/9bQDPFVrr5bpw6sa9uuw6y3Vti0s7TyAi++O3pi+D2/+GT1KqNf/uk4v8+aHtrHQ4KvAWonfN6X+wrWFfjshOcp0hIJ3ioSPETZ6b9eBx9J7jE/2F6F+PRRox/NeLz8vmereMf2lO7tk5KS3lyw3L7XXpUFXlm/Lm/2zBcWLFigunFxceYl9kKCBG8fn31R17Vr1rFtSxbXXYIEbwkJHt727D/8n7yt6lo6SR2vTL6iac+uCRLi312RH6r4bq5/+wjhHEJYLPCKRMDHHrxHXVJXHoM8EjWueIr33XrT1aeOHarGPgwSfMjJn0Pmo/9+/3NpWz+aBDohwVtFgkeFzGOPc9dvP7J9yUNjn3DWpTqDKvDKVQmXShX3uejegjdezMzMVO2Cwn3BXlqABB8qUteXrd6kjhJlcR0keEtI8KiSVKnHJi9W29abuiY64vqd1Sjw6miDtLS0rOdmqhHzg3A2fPpJTk4OCb7mSV1fmbtZLR7Ja+/Wnu3ZCQ/HJfhzjP/WOHmmjBYQ2P39r58y/u7fDb9F2k+/umzk43Pmv5svG1/1XWfZtqVQwrpE8++O/jdYZ899XR1LeEX7LmpE3hqLFy2UNK/O4qtdv2G98xpV4/0iBdtoWWM97mtc3eWl9cr8D+/N+Ie82OJaNJUXnrz8+v80ieoO4bhXPgkekcs/De/cXbpm/fZlH208cvTE9cmX9+p2ZaRl+koSvBSP3t3ipCE1O7lTx5PHv9v97d6dxWVXqG13dcfsf63w33yoD70lwdvNO6/fdmN7rkiDCjkuwbMGj8j1zMTxgQ5/kxC88pNCdcRTRK2MVr6LfuaMl15+/inva/iI9FGjhz/0O/+KIluTan/enTwM1uCrJHV92epN6uR16jqsYA3eEhI8QsKs9BGS6Ssv8IrUlX27ClVbfYJOoExMgrdDoLyu354JhBYJ3ioSPEIrQjK9lQJvkUrwH3yU+3HexmA/EYcE72/n7tKP8rfJK4S8jmojwVtCgkeVKtlFX4nwZvoQFnihPvKOBF9t8lCPnfxBXg8fFWwrOXiE4+FxNkjwVpHgUaWzLJbemb7GzrKzI8HnrvdwHnyw5K+/buOOZR9t2ly0p9dPrqzehxcDPkjwlpDgUaVQFUvZ1r+z8vMVa8qWvXt1b9upbax9lT6EBV6wBl8NBRt35Kzdmb9uU5cOrXpdfyXXm0OokOCtIsGjSqEtlmLn7lKJdGvWey5q2tCmz+cO4WNWCf4/q3I+2cBR9FVTh84t+8+mdgnNuye17pEUzxYGIUeCt4QEjypVbw3eCnV+1Psfr+/c4couV18Wwg8LOfsCL3Vd6pPPqXTihp69Zry+0OhUxSUJXh6JWmJXCzG9uyf0+snVLLHDJiR4q0jwiAQr12xW173v0qHVL1I7nP2u+5DvdageNyR4+dutXFMoc7We1yZyiXjUDBK8JSR4RA51QNY772/Yubv0thvbB3s4Xl7u6o9WrThx4njduvVeeDbrwUfKPiRGuj1Tb1Gnudc8jRN8oefb93M3q70vLLGjJpHgrSLBo0r27aIP5ODBA0s+3LpiTeFFTRv2LD/w3sr+3v379l7XMd7oeKnGp8CFin4J3jwnIqbRed07teYsdoQFCd4SEjyqFMbd3RIT/2/VtoJ1BRITb+zaplPblsY3AvD/sPmBg4f88YlJ4ZrFapPg5Xft+ObAP5evz12/vddPrmRXPMKIBG8VCR5VCmOBN6mFXnUudSXVxXPmg2RM1biAfAhpkODNyK72pvTsmmB8AwgfZyX4sH1cLNUdjiB15U8P3Db9fwc1i7ng6VeXPTwhW0q+1B7j22dI4R82bJjRKY/vYd+BHGx1lwRvtKoiOcZo2aNg447nXlsx7Pez9pQcHjuklzz/VHdEArtf+SFHgkfkqvk1+CpJUv/n8vXrNu7wvwiu90p8eOO7cGKC947svbpfeX3S5cY3gIjBGrwlrMHDuaQU5X62fd67eT7H4smMZNpLkyXKj/nDM+qe4eKsNXh5PtWlBhPjLr7/rus5eg6RiTV4q0jw0ECh59t33t8ggb7ntYkSOhvUPiUhPowHz5uckuCltM9alPth3tbbbmzPx8Ag8pHgLSHBo0oRuIu+Qt6B/vJmp/v+vHfYC1XkJ3i12JG7fvugn3XmnDc4AgneKhI8qiRVKnIO6rZCnVy3dZsn7B83HskJfsOWXfMX53+779Avf9aFhXY4CwneEhI8quS4Aq9IoJcCtma9p2uHuP63JIWlzEdmgpfUPvOfH0tDnhauQAfHcVyCD9tpcvJMGS1AF89MHC+3UtHvvfO6v4zte379uqMenzPzrY/379ur7lCTrJ/2pliP+9Wo7jLpkefhuX+skNL+pwduo7rDiRy315nz4BG50keNNloOMe2lyUarvMz3/2nSzIm/ahZzwe9ffO+511ZIfjW+VyMi5zz4D/O3Pvb0QpnuPDeuH6UdzuW4XMoaPBAylawprFyzed67eYlxF/8itUPLS6LtfvFHyBq8zGmefnUZJ79BG1zJzhKqO1ylZ9eEKePvvrFrGyl4z81e+53ftfBCLrwJXu2Tl//ZsUN6PXzPTVR3aMBxCZ41eEQutaTtIFWuKXRq21LKfPIVTR97euG/V35ujNojjGvwK9dsHvX4nLgWTeV/ls+GgTYcl0s5ih6Ry6FH0VthHmn/8D0piXEXGaOhE66j6OX/65V5H0qDffLQj7zyOYreEhI83EwdaT92SK/X3vr4uddWSF0M+Tui5hN8oefbx55eeGPXNuyTh5Ycl+BZgwdCJtg1hbjYpn9+5Ocd28ZKXfy/FZ8aoyFSw2vw/175+axFuTJlqfKz8wGHclwuJcEjcjn6NDnrenZN+MvYvqWHT/7u2X+F8FS6GkvwZbvl53+4p+TwH4b3YcUdGiPBW0WCR5UccSH6kFB77O+58zqplCvXbDZGz07NJHip7n95ddmlzaLl8fOmht5I8FaR4AEfiXEXjRt+y7qNxWpV3hitrhpI8J7ifY89vfDeX1x3W8/2agTQGAneKib7qJJ+p8lVSaL8w/fc1LFt7ISpi89yd719CV7Zubt05j8//svYvuyWh0uQ4K0iwaNK1VvSDqNQrSn07Jpwf//rX5n/YaHnW2MoePYleCHVXR6ePEiOlod7kOCtIsHDtfbv2/vBymXbthSqrrRfmDxh5oyXvD+TRmLxuOG3zFqU+2H+VmMoSPYleFXdHxvSq8XFTjonGDhLJHirSPDQj8U1hb88OWbo4L7jHr1f3gXD77lD2i88mzXh8Ywn//iYcY9yEo7/MLzPso82Ve+wO5sS/J79h1V2r18nbFsPICxI8FaR4FElvU+Tq1Pv/N+PGZqTk2P0o6Lq1/G9rKS8Tf70wG3rNhZXo8bbkeAlu780632V3XkLw21I8FaR4FElXU+TO3ayltx+snrVggULYmJi5i79onDHoaWrPaMerfj/9+F7bqpGjQ95gjfX3cnucCcSvFVM/+FajaKjjVZUVHZ2trr0W1xs09iWrdSgv2rU+NAmeO91d968cCcSvFUkeFRJ19PkDh44oBoTJk1pmdhVtasUbI0PYYJX16q79xfXkd3hZiR4qwgBqJKup8mZa+39BgxWDYuCqvEhTPB/eXXZbTe2j4ttqt62zM7hTiR4q9hGwLXUGnz1WK/xoUrwM9/6+JorYrtc/d/lA2bncCcSvFVsI6Afi2sK3mvw1WCxxp9lgldTcPkt+w5H3dnrGu9BwJ1I8FaxpUCVdD1NzlyDr7YHf9lj2YcbPcX7KnkfnWWClym4/PyVawofHtjZGGJeDncjwVvFlgJV0vU0Of/z3Ssk9bV964aJLRt6X+FOkbfPuOG3PP3qsmMnfzCG/Jxlgv/u6An5+aMG3chbFVBI8FaR4OFaVtbgF7zxYu9ucSdORtWtE1W7Th1j1Ev5x9KkTJi6ONDnzp1Ngpe3519eXTZ2SK9mTS4whgDXI8FbRSxAlXQ9Ta7KBD9+3MOZmZkPPpKZkpIiNf7UyZPGN34sMe6iW29s98q8D43+j51Ngn/hzVU9uybyMXGANxK8VSR4VEnX0+QqT/CSyBcvWjhlxuwHR4+Tbu36Deud1yjQ++X6pMsbN2rw75WfG30v1U7wK9ds/v6cBj27JqguAIUEbxUJHq5V+VH05zeo+8n6r27uc7vqnjp26PiRg5W8X+6987rcz7dv2LLL6J9RvQS/Z//hee/meR9YB0AhwVtFgod+LK4pdLn2+qSkJLOEV+LUD+fWrRMlCd7oB/DYkF4vvfm+RH/vt1X1Evyfpy5+/MHbmX8D/kjwVrEFQZV0PU3u9jv6z3n7/SkzZhv9wOrWq3fiZJQkeKMfgIT+P4/++WNPL/Q+qL4aCb5l8sBf3HwNB9YBFSLBW0WCR5V0PU3OInmPnDh+3EqCl3vGNDzvthvbz1+cbwwFn+A/23bw5JESlt6BQEjwVpHggcrJe6T2Od9bSfDq3XRbz/aenfvMxfigEvyBAwfWbP3+m42LjT4APyR4q0jwqJKup8lZd+qHc2vXb1jhefAVMhfjpR1Ugl+YeyotmbckUBkSvFUkeFQp5KfJHTx44O47bpSvbVsKpQpmPnxvYsuyS8X17nF1oMvFBCXkawqS4E8dOxToPHh/5zeoO+qXN/7l1WXSDirB39eneeMmzYwOgIqQ4K0iwaPmHTxQml+uuHj7kLt7LViwQI17PJ7jRw5G2mtSPZ6gErxo16Z5u8ubX9L2lqASvMwGgj0oD3AbErxVJHjUvFO1jOPDpzz7v1LmY2JiHnyk7IJxSUlJUkTP/jUZkjUFqevXdrgssWXDtvExOTk5kuA7t4uV7tDBfY17VKX/T5PqnBdTtONbo29NsAflAW7juFxa6/RpS597EXKbPKXUeFRO6mVod3oX79ie0r29areIvWzBovebNL1QdUNCynDhjkNGx4v83tiW//089dCq8IdflXBpz/+ZfF/K+UbfmkGDBlX4+AEoCbFOOomUBI/IFfIlbTPBi7++/I/QVvcKLXp7vsTxOTOfN/o2eOmZ8b17XL1wobHcoEjuD7a6k+CByjkuwbMGDxepffqwagwcPKRDx2TVDiHv+LvgjReltI9+4L6SkpJ659v4qS3HTtbyeDwZD90rZf6DlWWH1ynBFmzW4IHKsQZvFQkeVbLvNLkLL7zIaNlApfbMzEwp7caQnczPppMyP3RwXynz7y1ZJN1gCzYJHqgca/BWsQaPKgVa0q42cw2+7Ni68s9qCy35+Wm39aiZul6ll19+ObrST7Xxxxo8UDnW4C2huqPmmWvwJ04cV43Qim3Zau47BWlpaUb/DJlPSOG06cv/1w0bNkxug63uJHigcqzBW8UaPGqeuQZft2491fAxc8ZLieWXvlFfi96eb3zDsrjYplnPzVy62uNfd21S97zGRqv8UnoFhfvG/OEZaWuzBq+uTSR/GqMPhAlr8FaR4FGl0F/51esoen9Szme9NnVjUYlKxpKDRz9w36QnHzW+HYyaLPMnjpTK7cDBQ9ZuKH404/H6dYw3tTZr8OraRJ8WrDX65T5ZvUqq/q/69/IU7zOGAJuR4K0iwaNKob/y65kEX6Hb7+i/dNVn5tRzxJismJiYD1evqfZVbM0y373HTcaQDX4xYIik9scnPNeoUdk+efPxa3YUvXksofLKlGel6n/88cdb171rDAE2I8FbRYJHGFlZgz+/Qd3krtdv+Gzd9yePGkPVImU+uUs3o2ODzl26mandm2ZH0R87WctolWvR8jLVaHL5jaoB2I0EbxUJHlWy7zS5QGvw3uQlmrfmw6SkpHPrNDCGIpLMlSucLmuW4Bv9+JjBxyc8t3hF3toNxZ3atjSGAJuR4K0iwaNKIf80ucrX4H1s+PzTkpKS62/sI1HeGHIUzRL8wQMHjNYZrdskqlUJoGaQ4K0iwaPmxcU2nb1wqXzdN2JM5a9A+e7zz/xZGnJPNeI4NZzgPcX7Pli5bP26PKPvRcblq3jHdovv+rzc1QcP+pZznzV4O6jH6f+rravkSYAGSPBWkeARFsldunXs1KV+nXMqfwU+8ccxsqWe/OLfJL47dDJqd4JXpxTe0CVB2ovent+7W9zQwX37/ayn+al37y1ZJG25j9zKV0r39m3jY+68tce2LYXqDj6krvfucbXcf2Df3p3bxcpP9j5N0WcN3jyh0fso+hcmT1CDRv/H1Lf+9Nt0o3+G/KHld8m31OOUX333HTdaLNJVPgnQieM2BSR4RK6QnyanSGmvvLpnz3199uuvPvhI5u139JeuQyejdif4Q+VJ9/jx41LYRj9wnxoUhw+WVdzx4x4eOXSg1E41mJSUpBobPlt3y03J/mleKqXUdY/HY/Sjor755hv5sfJzVNdnDV79dtH43OA+FVcesNEqJw9eirH8rpiYmGu79VCPMz8/f/bMF9QdKlf5kwDNOG5TQIJH5Ar5aXJWSHUfN2ZkSkqKHdeyrUk1tgavCpvMh2YvXDplxuy77vmNdHfvLKpdv6FM0T5eV1S449Cct9+X28kv/q38X0T9adwj3luAgwcPTHg8Q7XHjZ9YULhP/pU05CfITEuN+6/BK6XfB/exAj57AjIeKXvwN/TslfPJltfnvaMep/zqK9p3UXewyPtJmPjXmf9z3wNqHDohwVtFgkcEystdLdW9bbsOL736o09fdaKaWYNXF96fMGmKzIeSu3S7uc/tffuWXdtnwuRXP9v4lUzRvD+T9/Y7+svMSRpmslfM0yWkOt47dNT5DepGRzeWxqJ3V9ato75jaQ3eytmP3j+nYOOOEyfLGr8aMsL7UEr51fJldCzweRLkGVD7fqAZErxVJHhUyb7T5CrkKd43csiAuLi4WW+t0OD1WWMJ/raf9+s3YLDROUPqeoXPYbtrrlUN72PZVEyXZ968YID6t63bJP5rqbEWfvqc+qrhw/viRVbOfvRO8PGNjX+b+/F/VKPa0tLS/J8EaIYEbxUJHlUK+Wlylfv7lCclink8nk6JTdUBWeqrhucZoVIzCV48mvEnoxWM/QeNLYBZ6X9250DV8CY1XjVq/XBMNXwEdeqj8F7Lb9y8bUxMjDTklSZfZ7NRGvVoGJaTUMNI8FaR4FFtxTu2G62QenzCc+oq9D5fYTkUwDopSxVej73GEnygEisP7LujJ2bOeOmFyROGDu579x03Dr7r1jdmTlXfNZP33m93q0bzFpVdssZKgrfCZy3/lX+8pRoyjeue1Drz4XsrfDKrFOw8A05EgreKBI9qyJ77+rUdLntr/ptGH1FRu3bt7N0tbvy4hyUKe7+t7E7w5oJ3oBL7xB/HdEpsOuHxjBeezfpg5bL8/PxPVq8yPyzfrIjFxcZ0rX79iku4YiXBB7sGLzp0TM756PMbevaStjy2BQsWyJM56clHLX4AQZVPAnRCgreKBI8qmafJSd1a9PZ8Ke3jxow0KwQUVeFmv/5q53axUlP379urxu1O8JUveEsUVivrUjunzJi9eEWe2h3y4COZ6g5mRWzcuIlq7N1T2QlvgRK892ly5kOqpDz7HEUvYlu2mvH6wqWrPfLYatcvO4d++vTpvx/je7p8hays+kMbJHirSPCokto3Lqm9e1Lr0Q/cR2mvkHd2lJp6Xcd49RG3NbYG7793+uDBAxKFpZGSkiK18+Y+t5tL6SbzX5mH2e/bW1mBD5TgvU+Tq1vPmATs2XdINfz5nE9viott+uDocbnrPXFxcdL997+yg9pX7/8kQD+Oy6W1Tp+2/QKQFdpczB4tVEHC6E9vSqKuV09aOaNjgUwIBg7oJyHb6FflhckTXng2Sxo5H30uIVgNKu8tWTRyaNkRc5LdpbqrQaXCf5VYfu05qaxLV32mRkwfrFymrgrXt/8vJ0421u9FhT/HvNqMzCrUXneT+XNu+3m/Z1/6uxqskHnPl19+OfX2/1GDgVTyJEA/kkuvjGtsdJyABI8IJa8QyXZz3ynwr1IPPpKp9vfyJV9LV//36m9K23Yd5LbfXQODCvHVXoP3D6916xk7rle9/55qKJKJ/++t2art/a/Un9jj8ficH79+XZ6qtcLKGnzzS2NVY9bfX1QNxazZwnsNXh6P/4boxJlL3Vn5INpKngTohzV4q1iDR+XUKyQutmnWczOlhgUVRt1D6lOjBv+tWFLaJTS/vfhDaUvBDqpmV3sN3uf4MnlIHZO6qvbiRQslzatBaQy4tZN5MVrvtfO70p9UDSnD2XNf379vr5ReCcf9ftZTBtWZbFbW4JO7dFM72HNyciY9+ajMD4p3bJefo6q7Wl/3XoP/+5Qnuye1ljuYBy5s21L4u8dGqnaXNpUd9KcEehLEgjdeTGzZcJHX5fTzcldXOKKWVBD5/KeDEY4EDwegzAci06AjR76ThhS2Ga8vlNJu7hIP1xq8PKRGjaLVwXQlJSUjhw68KuHStvEx0pCueeCk99p5p7YtzXMRx40ZeV3H+N7d4l54NktKu8xXEq9sL+NW1uDF2N+X7TAX06dPl/lBSvf2ahf65Bf/1uGqso+E8V6Dv7TFZfKQ5A7yG6XQytctNyWrJaHs/1t5qk4zdTcr/BN8cs+yRYpFC99QXfGvt+bKrffIZ5/my21qP+N6+4hwJHirSPAIllnmu/e4yRhyPZkox1zYXKrg0lWf+aw6B1uwg50QXHpRI9Wo8ONeHhw9TmqqCt+njpWt68vDW7wib/hDv2ta/u+8dzwIKfwyQTE/k0b+oUzm5r5TIPOVhuUf+t6oyaXqW4r5231+jtx/7tIvzKdCfo6MyO+9/Y7+TZr96CeIoem/kYmFCv2mlJQU+QkdOiYb/UpV8iTIy1V+9ddff20e0r97Z5H8D27bts0cWfPxf+S3W9lVgEjguFwatoPsNnlKqfGATSSMzp6bHWyNHzRoUKHlg+ys8xTvk2pndCzYv2+v9xXsgyVbYbVtCer3rl+XF9uy1dn8Xn/qg4tkutCpbcviHdvTbusxde6HwwdcL7cyIo+ze1Lr+9IftulTE2GHhFgnHWxBggf0ZHeCty6o6i6io8/qQGVz2xLU75XIHtrqLjpff2vTRlE7Cz+WtsxaLrm0pQrramTD55+WlJR0u77qQ/kQIRyX4FmDB/RUY2vwIafN7L/lJdE/nBujFt0XzHu9+cUXnqrTrH///mqk8Msv5PbyK64uuyucwHGvTBI8oKfISfCuJVu5uwb9Oicn57ujJ3bvLOp9x69kMC6x4+49+2XkvXeyU1JSzm9Ql7TjFCR4q3hNA7ZyboLXSc/UW+R2xdK3CwoK4tuWnT3Y+fpbvy7evvXLz2Sk36D7ZYS04xQkeKt4TQO2IsFHguQu3VrEXvbG316Mjo7ukNBcRuJim3bq1GnC+NElJSVdu/VQd4MjkOCtIsEDtiLBR4gbbuqVn5/frkNnM9Vc3CJeRm7uc3uj8jMA4RSOy6Vcix7QUGLLhrNmzTI61siEIKhr0QNuI7mUa9FbQoIHbEWCB0KLNXirWIMHbMUaPBBarMFbRYIHbEWCB0KLBG8VCR6wFQkeCC0SvFUkeMBWJHggtEjwVpHgAVuR4IHQIsFbRYIHbEWCB0KLBG8VCR6wFQkeCC0SvFUkeMBWJHggtByXS8NzJbu86bWMFgAbdE6Pqt6V7NZOM7oA/CUPC6JilpaWNm4czivfhS3BA7AVCR4II6nunTp1MjphQoEH9MQaPBBGM2fO9Hg8EydONPrhQIEH9ESCB8LlyJEjTzzxhDSefvppNRIWFHhATyR4IFyef/75kpISachtGEM8BR7QEwkeCItTp055B/cwhngKPKAnEjwQFpMmTVLxXQljiKfAA3oiwQM1zye+K+EK8RR4QE8keGhp38GopblGOwJt2bJl7NixGRkZWVlZ0pXG+PHjf/Ob3+TmBnzQpaWlOeWMvjXqX8mt0a8IF7oBNNQ5PWr23Oxga/ygQYO40A0i3JiXo1aui2p4XlT241FNGxmDNSaoC93UqmWpwk6dOnXEiBHS2LZtW3x8vBqs0sSJEzMzM6VRyb8iwQN6IsEjwhXuiLrpkbLJaIWJXAb7PFZ+Tcblxogi1V1Iaa/56h5R3nnnHbmNiYm5+OKL1Yg/CjygJ9bgEeH2How6dMRo+/B8EzVuRtneeEnqfboYgyKv0Gj0vcFouFNpaemqVaukkZ6eft5556lBfxR4QE8keES4enWMhlR6H2NeNhp/HvqjpP5+eXyXqj8otbyvhcZNmhkty+bMmaMaw4YNU40KUeABPZHgEeGOnzQaF/54Z/uvnypL8GL0XVHd25UPnbGkfGd+ml7xvXT/HqNl2fz58+U2LS2t8jV7CjygJxI8IlyFCX7m4qjPtpU1enb0jemFO8p22ouBGsX36lGH3Pe7a6DqBkKBB/REgkeE80/wS3OjXnyrrHF166hJZceV/8jStWW3Uvj1PryuqKioX79+3bp1S09Pnzp1qnSNb5yhqntcXNzdd6WpkUAo8ICeSPCIcD4JXtJ51qyyhtRv/+ouencuq+76xXfvNfjMzMzWrVsvWLDg448/nj59+ogRI6Trc4p8fHx8Wlpa1lOTjH5gFHhATyR4RDifBD/oSeOg+mmPVpzRE1uWFf7kRKOrDXMNXoK7uqjtsGHDMjIykpKS1HhqauqmTZtUW0iBz87OrjK+Cwo8oCcSPCKcmeDFr58y1tcnDI2Ku6R8yDWio6NVIz8/Py4urqSkZNq0aVlZWXl5eepyeGLUqFGqERQKPKAnEjwinJngpy8yDqwblBrV2+usd5c4cOCAakhkLyoqaty4seoKyfEpKSnSqPKqtBWiwAN6IsEjwpkJvmdHozFruZHj3Sk7O9toeenfv79qLF7640v6WUCBB/REgkeEMxN8YmzZKe+KeYkbKImJxkEH1ThdngIP6IkEjwjnvQY/KNXI8Z9ti3r8tfIh16j8SnatW7dWje3bt6uGdRR4QE8keEQ4M8Gr0+QmjTAOnv+/jyL6A2FDrvJobn4eXe3atVXDOgo8oCcSPCKcmeDNC9288BujoT5pBsK80E2LFi1UwzoKPKAnEjwinJng/7sY3/K/i/EPPm80XG7NmjWqkZycrBrWUeABPZHgEeHMBH/oqNEQ5mJ84Q63LMaba/ApKSn+58JNmzZNNRISElTDOgo8oCcSPCKcGdx9Pk0u85dlHwgrXLIYb67Bezye1NRU7xqfnp4ug9LIyMjwPj/eIgo8oCcSPCKcmeDNSq80bRQ1bbTRzppVFuX1phJ8TExMUlJSfn6+NJKTk6W0y+306dPVfR566CHVCAoFHtATCR4Rzqeue0tsGXXvLWWNQ0fKrnOnN5Xgo6Oj8/Ly1HXrpMxLaZdbaUvVLykpueSS6ly/lwIP6IkEjwjXvV1ZFZev7u2NEW8P3Bk1/p6y7yY56tNl5sxbUOsM6RqtWrVkXN3BX58+fbKysn77299Ke3k5dYVauZ09N1u61dg5r9Qyz7GrSXnTy/7PAdikc3qUbBqCrfGDBg1aaxzQA6ACycOqrpjx8fFq4dzUoUOHTz/91OjUIBI8oCcSPBAWr776qtE6I/N3fzRaNYsCD+iJNXggLFJSUuLi4oxOeXy38tntdmAXPaChAW+OuuDCNkbHsnO/PzD91j8ZHQB+rOyiFzk5Oampqao9e242BR5AyIxY/sKauQ8YHXmf16r4ne4z3jHtuVf7PGJ0APixWOCFWokP1+q7Ep4CLzYXHzZaAEKt/0Mz1i14WLVVFfev8f7jUuDn/3WoagPw8f2pU1fGWT2gPT09ffr06cOGDTMvRVfzWIMHdGbWb1XL1aAINC6bMKMF4MfODebz3ObPn2/ehgsFHtCWdzoXZi0PNC6C2oQBrmJ9+jtx4sSSkhJpyK201WDNC1uBJygAtvKp4oqq5YHGjQ6Ailic/p46derpp582OlFR3u0aFrYCT1AAbFVhzVbVPdC40QFQEYu5dNKkSSq+K2EM8SR4QFs+tdys4oHGAZwln/iuhCvEk+ABnZm13KeKBxoHcDa2bNkyduzYjIyMrKws6Upj/Pjxv/nNb3Jzw/DBt2F7b2/ylFLjAZt4nyYnAlVxn3FOkwMqlxB7gdGyIOyzZxI8oDm1lZFbo39GoHEAFXLcyjJr8IDOzAzhU8sDjQPQBgke0JZZxRWzlgcaB6ATEjygJ58qrqhaHmjc6ACoiONyKQke0FOFNVtV90DjRgdARViDt4oED9jNp5abVTzQOACdkOABnZm13KeKBxoHoA0SPKA5Vcv9q3igcQAVYg3eKhI8UDNUFVd53VugcQAVYg3eKhI8UAPMjO5TywONA9AGCR7QllnFFbOWBxoHoBMSPKAnnyquqFoeaNzoAKgIa/BWkeABW1VYs1V1DzRudABUhDV4q0jwgN18arlZxQONh8Unq1fl5a42OgBChwQP6Mys5T5VPNC43aSWJ7ZsKF8yxS/YuOPaDpcNvuvWgX1739StnXEPACFCggc0p2q5fxUPNG6rU2fe+Ns92wb0vqqkpER1Txw/rhpAxGIN3ioSPFAzVBVXed1boHH7yLS+9pk3vgR3uU1JSZm9cKl8/WrISDUORCzW4K0iwQM1wMzoPrU80LitZFpvJvg9e3YPHDxk6mtvJ3fpJl/po0arcQChQoIHtGVWccWs5YHG7ead4OPi4sb+4WnVBmAHEjygJ58qrqhaHmjc6NjGO8FnTZ5+foO6qg04AmvwVpHgAVtVWLNVdQ80bnRs453gzUoPOAVr8FaR4AG7+dRys4oHGrebd4KXSs9GALAVCR7QmVnLfap4oHFb+SR4NgKArUjwgOZULfev4oHG7UOCh6M5bkpKggc0p6q4yuveAo3bhwQPR7NpSlpaWppTzuiHDgke0JmZ0X1qeaBxW5HgAX9z5sxJLVdUVGQMhQgJHtCWWcUVs5YHGrcbCR6oSSR4QE8+VVxRtTzQuNGxDQkejua4KSkJHtBThTVbVfdA40bHHlLO5atu4zjVPeeCWDYCcBabpqSNmzQzWqFGgge05VPLzSoeaNxWqpx3atuycMch+ZKG2giwKYDLle7fY7RCjQQP6Mys5T5VPNC4faSQ+7zrVZdNAWATEjygOVXL/at4oHGbSCH3edeT4PHd0RPPTBwvXwUbd8grwefFsGf/4RcmT5DvfrJ6lTEUVjUzGS0qKsrMzExNTZXb2bNnn82h9SR4QHOqiqu87i3QuH183vWqy6bAtaSc79l3aNpLk+Ur5+0ZMuLzYvjDI7984dks+e66/FxjKKxsmox6r8FLUW/duvXEiRNzcnLkdtCgQdLNza3m/z4JHtCZmdF9anmgcfv4v+XZCMBUt249n+ouwV1d++XmPrenjxqtBrVkrsH369dPiro0hg0blpGRERdnHJH605u7Vi/Hk+ABbZlVXDFreaBxW/m/5dkIuJma3jVqYLwOT5w4rhrKe0sWSXCXRrurO06ZMVsN6io6Olo18vPzpaiXlJRMmzYtKytLirrcyvi+g1FDhw5V9wkKCR7Qk08VV1QtDzRudOxBgoc3Nb07cuQ71ZUErxpi25bCkUMHSqNZs4vfWLBcDUYCm6akBw4cUI2kpCQp6o0bN1ZdITn+2m49pJGTk1NaWqoGrSPBA3qqsGar6h5o3OjYgwQPbzK9kxfAqVoXqK6Z4L87emL4r9NU+/V575zfoK5qRwK7p6TZ2dlGy8u9vxqkGouXBj3XIcED2vKp5WYVDzRuKxI8vKnpXe3Th1XXTPCPDu/v8XikMWXG7NZtEtWgmyUmGk9CNU6XJ8EDOjNruU8VDzRuHxI8vKnpnZngFfPAukczHr+5z+1qUHuVX8kuKSlJNbZv364a1pHgAc2pWu5fxQON24QED3+Nz/3WaHkdWBexh83bNCWtPJpv3rxZNcwParKOBA9oTlVxlde9BRq3CQke3tRfv/T7i1R329bNv3lgmDQi+bD5sExJDx06pBotWrRQDetI8IDOzIzuU8sDjdsnwhO8utzKd0dPGH3YyfzTm2vwu4q3nTpWVsm+OxT0seJ6W7NmjWokJyerhnUkeEBbZhVXzFoeaNxWkZzgpd6Uft/4mYnjU65tQ5mvSeYafO/evR/NeFwaHo/nkVG/VoMuYa7Bp6Sk+J8LN23aNNVISEhQDetI8ICefKq4omp5oHGjY48IT/DNzt0ltyUlJZT5GmDO7cwEX3LoRPqo0eqAsn//Kzt77utqPKLYNCU11+BlcpOamupd49PT09U5BRkZGd7nx1tUwVu9ZmwuNv6uAEKu/0Mz1i142L+Wq5FA4x3Tnqu/a+HJ42XXHqlT7/zDhw9dcEHDUN3Kj5WfqX64orrmoM9vlMHmsa1jW16m7myrunXrffj+kvz8fKNfLiYm5r70h//nvgci6lRsPcjcThVLT/G+3t3KLsj64COZD44et3/f3p9c10Htq1+8Ii/STpOTh31lXBBV1v+NVqE58xYMHNBPXm/x8fHqRSgTnc6dO69du9Z8Te7ateuSSy5Rbess/Xo7bPKURs4OOkAzqsBLw3sTU2VbCvyYu6+oXbv2qfJsbR61K92zbHvfqnFhDkrb5z5qcMdXnq27T0q2lnh36rxWtjaWLl3qU+BFWlpa+phnWl4SzcbKJsU7tqd0by8NVeCl8d6SReoydnFxce+uKIioZ96mAj916tQRI0bI/29RUZEkeHWioEmK/fLly6sR34WlX28HEjxgH7PAC7WV8d/W+I9LgZ//1+pc8to+ZtSzr6Hak6b849W/PKS6QpX2uNim3ndDqJjPqpng00eNVmvw4pmJ483z5SLqiHp52HYUeKnr06dPb9Wq1fDhw6W79N9zp/99fklJSdeuXa/p1PmW3qnVq+6CNXhAcxVWdxFoPKKYxdW+hpB2o1NlK51i4OAhS1d7sp6bKdVdfUuNww7+V7ITwx/6nfogNUnzEbUYb9OLIT4+PisrS1V30fu2AdnZ2ZLaZfDuu9KqXd0FR9EDmjOTutE/I9C4O51Tr/GwYcM+Xlf0+ITnVGmHTbx3ivhcyU6pX+ec6bNX1q7fUNrjxozctqVQjYed43IpCR7QmZnRfWp5oHGX8N/+pI8aPeYPzzRpeqHRZxtlG1Xd1dPrfSU7k9yh5SXRT/zvU6o7ZPCdnNFQPSR4QFtmFVfMWh5o3D2sbH/YRtlElXb19JpXsvP5PHj5br8BgwcOHiLtncVf/X5MuhpHUEjwgJ58qriianmgcaPjAla2P2yjbKJKu3p6mzSqnZSUdG23Htd06lL+zR/54xOTUlJS5LuHDhqfmB5ejpvzVfBWrxkcRQ/Yp9rnwUfaUfRwCan3kV8+5UHacRS9fUjwgLZULTc6XpubQOPuYWX7wzbKPv7PrePCsSOwBg/ozKzlPlU80LhLWNn+sI2yD89tzSDBA5pTtdy/igcadwMSfHg59Ll13LyEBA9oTlVxlde9BRp3AxJ8ePk8t06p946bl5DgAZ2ZGd2nlgcadwkr2x+2UfbxeW6ZS9mEBA9oy6ziilnLA427Bwk+vBya4B2HBA/oyaeKK6qWBxo3Oi5Agg8vhyZ4x835SPCAniqs2aq6Bxo3Oi5gZfvDNso+Ps+tU+ZSjpvzkeABbfnUcrOKBxp3DyvbH7ZR9vF5bplL2YQED+jMrOU+VTzQuEuQ4MPLoQnecUjwgOZULfev4oHG3YAEH14OTfCOm/OR4AHNqSqu8rq3QONuYGX7wzbKPj7PrVPmUo6b85HgAZ2ZGd2nlgcadwkr2x+2UfbxeW6ZS9mEBA9oy6ziilnLA427Bwk+vBya4B2HBA/oyaeKK6qWBxo3Oi5Agg8vhyZ4x835SPCAniqs2aq6Bxo3Oi5gZfvDNso+Ps+tU+ZSjpvzkeABbfnUcrOKBxp3DyvbH7ZR9vF5bplL2YQED+jMrOU+VTzQuEuQ4MPLoQnecUjwgOZULfev4oHG3YAEH14OTfCOm/OR4AHNqSqu8rq3QONuYGX7wzbKPj7PrVPmUo6b85HgAZ2ZGd2nlgcadwkr2x+2UfbxeW6ZS9mEBA9oy6ziilnLA427Bwk+vBya4B2HBA/oyaeKK6qWBxo3Oi5Agg8vhyZ4x835SPCAniqs2aq6Bxo3Oi5gZfvDNso+Ps+tU+ZSjpvzkeABbfnUcrOKBxp3DyvbH7ZR9vF5bplL2YQED+jMrOU+VTzQuEuQ4MPLoQnecUjwgOZULfev4oHG3YAEH14OTfCOm/OR4AHNqSqu8rq3QONuYGX7wzbKPj7PrVPmUo6b85HgAZ2ZGd2nlgcadwkr2x+2UfbxeW6ZS9mEBA9oy6ziilnLA427Bwk+vBya4B2HBA/oyaeKK6qWBxo3Oi5Agg8vhyZ4x835SPCAniqs2aq6Bxo3Oi5gZfvDNso+Ps+tU+ZSjpvzkeABbfnUcrOKBxp3DyvbH7ZR9vF5bplL2YQED+jMrOU+VTzQuEuQ4MPLoQnecUjwgOZULfev4oHG3YAEH14OTfBWHmdRUVHOGdI1Wjk5Mq7uUJNI8IDmVBVXed1boHE3sLL9YRtlH5/n1ilzKSuPc+/evalnSNdopabKuLpDTSLBAzozM7pPLQ807hJWtj9so+zj89zqNJfq0qVLSkqK0TlDRmTc6NQgEjygLbOKK2YtDzTuHiT48HJogrdoxowZRusM/5GaQYIH9ORTxRVVywONGx0XIMGHl0MTvMXHGR8f7x3ipS0jRqdmkeABPVVYs1V1DzRudFzAyvaHbZR9fJ5bp8ylrD9O78gervguSPCAtnxquVnFA427h5XtD9so+/g8t/rNpcwQn5aWFq74LkjwgM7MWu5TxQONuwQJPrwcmuCDooL7b3/7W9UNi/C8tx8d4LuHEMDZa9gg6tDRssZ/op4+fqpO+VgQ6tU++ZOosdK4sFHU3oNlIw3Pizp0pKyh04jqWm8jhNRL1P+pVreRTD3CZ+YGUTGnTp06fPhwoxMOYSvw8qcFYBPZbqqtZzVuxfHyQFXPK2V5f0uNO/c+Qrrm/b0b3l1h/gSEkM/zbHbVcx7J5PUQVIEPu/Dsopf3jDxTgltuuQ3hrWwlVVveYtKWzCG36u2mRqy0pSGbWhWnpC3MOwhz3BH3kVv1LfPO0hZqUMgdFPNu5s+Rb6knkK+z/1LPv/lXULfmEy53EN73j6gv9bClIa8oZwlngpfnS/1pueWW2+rdCp+G3ArZJElxUoPSNt9uVbbVP1GDquvDezxi7yMN8xlQ/P+5/31EoLvJk8Pt2dyafxf/P1bk834NkOCrpp4p9axxyy231bg1N45mw/yuMOuWfFdtXlVsUpG0knEzXQWifoui/om/sN9HGj6V2/+f+99HBLqb3Kqni3b12oqVP2gE8v4/cpbwJPg//do4yE7+2D5/Zka8MeKNkaDIP5HtqWyY5FY2TOZPCDSuVOMXAZVQrzfHlUZv3m8ZZyX4MO+iB2A3VbMllKstlPnWCzQOhJxZIx39GpP/i8xX2EVfFTWbq2Q3IIBQUZtUtW2Vt565hQ00DoScBq8xNUdxlvAUeFXaHb3TBnCWQNtW6jpQJYfWrLAleDYrAABHUKXdcXudw5bg65WfbKpuAQCIZGqVwVnCdpqcPFnm4h8AABHI0XE0PAVeHarAXnoAQCRTC8rqVkKps4RtDR4AAKfgKHqr1O4OAAAcwYkLymFL8OyfBwBEPtbgg+PQJwsA4DbmGjwJ3hKOnwcAOAgJ3qq9Xp8pBABAhCPBW8UaPADAQUjwVrEGDwBwEBK8VSrBswYPAIh8Dg2l4UzwAABEPoeGUtbgAQCoAgneKhI8AMBBSPBWkeABAA5CgrdKJXjHPVkAAHciwVvFlewAAE7h0FAangLPlewAAE6hlpX5PHhLWIMHADiIhFI+D94S1uABAA7CGrxVKsGzBg8AiHyswQdBPVkAAEQ+h4ZS1uABAKgCCd4qEjwAwEFI8FaR4AEADuLEBF/r9OnTRhMAAOgiPAkeAADYigIPAICGKPAAAGiIAg8AgIYo8AAAaIgCDwCAhijwAABoiAIPAICGKPAAAGiIAg8AgIYo8AAAaIgCDwCAhijwAABoiAIPAICGKPAAAGiIAg8AgIYo8AAAaIgCDwCAhijwAABoiAIPAICGKPAAAGiIAg8AgIYo8AAAaIgCDwCAhijwAABoiAIPAICGKPAAAGiIAg8AgIYo8AAAaIgCDwCAhijwAABoiAIPAICGKPAAAGiIAg8AgIYo8AAAaIgCDwCAhijwAABoiAIPAIB2oqL+H8bx+MmMXN8xAAAAAElFTkSuQmCC\" alt=\"Steady pump test in a leaky confined aquifer\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp)\r\n% K = hydraulic conductivity of aquifer; Kp = hydraulic conductivity of confining layer\r\n% Other variables are defined in the test suite\r\n \r\n   K = Q0*log(r(1)/r(2))/(2*pi*b*(s(2)-s(1));\r\n   Kp = K*bp/b;\r\n   \r\nend","test_suite":"%%\r\nr = [30 75];                %  Distances from the well (m)\r\ns = [0.4 0.25];             %  Observed drawdown (m)\r\nQ0 = 1000;                  %  Pumping rate (m3/d)\r\nrw = 0.6;                   %  Radius of the well (m)\r\nb = 10;                     %  Thickness of the confined aquifer (m)\r\nbp = 1.5;                   %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 93.54;\r\nKp_correct = 1.82e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75];                %  Distances from the well (m)\r\ns = [0.4 0.25];             %  Observed drawdown (m)\r\nQ0 = 2000;                  %  Pumping rate (m3/d)\r\nrw = 0.6;                   %  Radius of the well (m)\r\nb = 10;                     %  Thickness of the confined aquifer (m)\r\nbp = 1.5;                   %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 187.07;\r\nKp_correct = 3.64e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75];                %  Distances from the well (m)\r\ns = [0.6 0.4];              %  Observed drawdown (m)\r\nQ0 = 1000;                  %  Pumping rate (m3/d)\r\nrw = 0.6;                   %  Radius of the well (m)\r\nb = 10;                     %  Thickness of the confined aquifer (m)\r\nbp = 1.5;                   %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 71.32;\r\nKp_correct = 7.00e-3;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75];                %  Distances from the well (m)\r\ns = [0.6 0.4];              %  Observed drawdown (m)\r\nQ0 = 1000;                  %  Pumping rate (m3/d)\r\nrw = 0.3;                   %  Radius of the well (m)\r\nb = 10;                     %  Thickness of the confined aquifer (m)\r\nbp = 3;                     %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 71.32;\r\nKp_correct = 1.40e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [100 240];              %  Distances from the well (m)\r\ns = [4.0 2.8];              %  Observed drawdown (m)\r\nQ0 = 3500;                  %  Pumping rate (m3/d)\r\nrw = 0.3;                   %  Radius of the well (m)\r\nb = 35;                     %  Thickness of the confined aquifer (m)\r\nbp = 2.3;                   %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 11.43;\r\nKp_correct = 3.74e-4;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [100 240];              %  Distances from the well (m)\r\ns = [10 8];                 %  Observed drawdown (m)\r\nQ0 = 3500;                  %  Pumping rate (m3/d)\r\nrw = 0.3;                   %  Radius of the well (m)\r\nb = 35;                     %  Thickness of the confined aquifer (m)\r\nbp = 2.3;                   %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 6.959;\r\nKp_correct = 1.126e-5;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('steadyPumpTestLeakyConfined.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-11-04T15:23:23.000Z","updated_at":"2026-02-12T15:06:18.000Z","published_at":"2023-11-04T15:23:23.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a leaky confined aquifer and the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the leaky confining layer given the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the well, the drawdowns \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e measured at distances \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from the well, and the thicknesses \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the leaky confined aquifer and the leaking confining layer, respectively. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59002\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 59002\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/49743\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eother pumping tests\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn analytical solution for the drawdown can be determined by solving the equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d2s/dr2 + (1/r)ds/dr - K's/Kbb' = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{d^2s}{dr^2}+\\\\frac{1}{r}\\\\frac{ds}{dr}-\\\\frac{K\\\\prime s}{\\nKbb\\\\prime} = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewith the boundary conditions that the drawdown far from the well is zero (i.e., \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s(inf) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es(\\\\infty) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) and the flow at the well is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Using Darcy’s law and the convention that flow to the well is positive, one finds\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0 = -2pi rw b K (ds/dr)|_{r=rw}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0 = -2\\\\pi r_wbK\\\\frac{ds}{dr}|_{r=r_w}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe governing equation is related to the one in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51783\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 51783\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and it is the polar coordinates version of the equation in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59002\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 59002\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"365\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Steady pump test in a leaky confined aquifer\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59152,"title":"Determine aquifer properties: steady pump test in confined or unconfined aquifers","description":"Problem statement\r\nWrite a function to determine the hydraulic conductivity  and radius of influence  using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns  measured at distances  from the well, the input will include the pumping rate , the piezometric head  in the absence of pumping, and a variable b that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine  and  from a curve fit to either the drawdown or piezometric head . \r\nBackground\r\nConservation of mass for steady flow says that the flow past any cylinder of radius  centered on the well has to be equal to the pumping rate . Then if the flow is defined as positive toward the well (i.e., in the  direction), Darcy’s law states\r\n\r\nwhere  is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness  for the confined aquifer and the (variable) thickness  for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\r\n\r\none can determine an expression for the drawdown for the confined aquifer or piezometric head  for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 435.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 217.9px; transform-origin: 407px 217.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 106px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53px; text-align: left; transform-origin: 384px 53px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.3px 8px; transform-origin: 74.3px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and radius of influence \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 120.567px 8px; transform-origin: 120.567px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003es\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.2917px 8px; transform-origin: 74.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e measured at distances \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.1667px 8px; transform-origin: 57.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the well, the input will include the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.7917px 8px; transform-origin: 70.7917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 133.817px 8px; transform-origin: 133.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in the absence of pumping, and a variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.85px 8px; transform-origin: 3.85px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eb\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.2167px 8px; transform-origin: 34.2167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.05px 8px; transform-origin: 89.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from a curve fit to either the drawdown or piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"65\" height=\"18\" alt=\"h = H - s\" style=\"width: 65px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 255.925px 8px; transform-origin: 255.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConservation of mass for steady flow says that the flow past any cylinder of radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 123.283px 8px; transform-origin: 123.283px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e centered on the well has to be equal to the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 203.417px 8px; transform-origin: 203.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then if the flow is defined as positive toward the well (i.e., in the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"20\" height=\"18\" alt=\"-r\" style=\"width: 20px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.8833px 8px; transform-origin: 90.8833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e direction), Darcy’s law states\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"79.5\" height=\"35\" alt=\"Q0 = K(dh/dr)A\" style=\"width: 79.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 352.267px 8px; transform-origin: 352.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.4583px 8px; transform-origin: 75.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the confined aquifer and the (variable) thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 282.008px 8px; transform-origin: 282.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"64\" height=\"18.5\" alt=\"h(R) = H\" style=\"width: 64px; height: 18.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 297.975px 8px; transform-origin: 297.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eone can determine an expression for the drawdown for the confined aquifer or piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,R] = steadyPumpTest(r,s,Q0,H,b)\r\n%  K = hydraulic conductivity\r\n%  R = radius of influence\r\n%  r = distance from the well\r\n%  s = drawdown = H - h \r\n%  Q0 = pumping rate\r\n%  H = piezometric head without pumping\r\n%  b = {aquifer thickness if confined, [] if unconfined}\r\n  h = H-s;\r\n  K = Q0/(2*pi*r*b);\r\n  R = interp1(s,r,0);\r\nend","test_suite":"%% Confined aquifer\r\nr = [35 75 110 150];                    %  Distance from well (m)\r\ns = [0.9 0.6 0.3 0.1];                  %  Drawdown (m)\r\nH = 15;                                 %  Piezometric head without pumping (m)\r\nQ0 = 2592;                              %  Pumping rate (m3/d)\r\nb = 25;                                 %  Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 30.0;\r\nR_correct = 192.4;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [50 100];                           %  Distance from well (m)\r\ns = [0.42 0.27];                        %  Drawdown (m)\r\nH = 15;                                 %  Piezometric head without pumping (m)\r\nQ0 = 8000;                              %  Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 401.5;\r\nR_correct = 354.5;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [25 47 70 96 131];                  %  Distance from well (m)\r\ns = [12.32 10.1 8.69 7.53 6.45];        %  Drawdown (m)\r\nH = 50;                                 %  Piezometric head without pumping (m)\r\nQ0 = 4600;                              %  Pumping rate (m3/d)\r\nb = 25;                                 %  Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 8.25;\r\nR_correct = 804.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [25 47 70 96 131];                  %  Distance from well (m)\r\ns = [6.61 5.33 4.54 3.93 3.33];         %  Drawdown (m)\r\nH = 50;                                 %  Piezometric head without pumping (m)\r\nQ0 = 4600;                              %  Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 8.213;\r\nR_correct = 796.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [54 112 140 222];                   %  Distance from well (m)\r\ns = [1.12 0.87 0.74 0.6];               %  Drawdown (m)\r\nH = 64;                                 %  Piezometric head without pumping (m)\r\nQ0 = 2300;                              %  Pumping rate (m3/d)\r\nb = 43;                                 %  Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 22.78;\r\nR_correct = 1087;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [43 98 151 208];                    %  Distance from well (m)\r\ns = [2.65 1.81 1.38 1.06];              %  Drawdown (m)\r\nH = 75;                                 %  Piezometric head without pumping (m)\r\nQ0 = 1300;                              %  Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 2.805;\r\nR_correct = 605.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [35 75 110 150];                    %  Distance from well (m)\r\ns = [0.9 0.6 0.3 0.1];                  %  Drawdown (m)\r\nH = 15;                                 %  Piezometric head without pumping (m)\r\nQ0 = 2592;                              %  Pumping rate (m3/d)\r\nb = 60*rand;                            %  Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 750/b;\r\nR_correct = 192.4;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%%\r\nfiletext = fileread('steadyPumpTest.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-11-05T15:51:52.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-11-05T15:51:46.000Z","updated_at":"2026-02-12T14:11:09.000Z","published_at":"2023-11-05T15:51:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and radius of influence \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e measured at distances \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from the well, the input will include the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in the absence of pumping, and a variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from a curve fit to either the drawdown or piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h = H - s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh = H-s\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConservation of mass for steady flow says that the flow past any cylinder of radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e centered on the well has to be equal to the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then if the flow is defined as positive toward the well (i.e., in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"-r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e-r\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e direction), Darcy’s law states\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0 = K(dh/dr)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0 = K \\\\frac{dh}{dr} A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the confined aquifer and the (variable) thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(R) = H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(R) = H\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eone can determine an expression for the drawdown for the confined aquifer or piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55825,"title":"Measure the hydraulic conductivity with a constant-head permeameter","description":"A constant-head permeameter is a device for measuring the hydraulic conductivity  of a soil sample. In this problem the sample is placed in a cylinder of length  and cross-sectional area . By supplying a flow  to a standpipe, water is maintained at a constant level so that the head difference , or the difference in water levels between the standpipe and outlet, is constant. \r\nThe hydraulic conductivity can then be determined from Darcy’s law\r\n\r\nwhere the head gradient  is simply . Darcy’s law applies when a Reynolds number based on the specific discharge  and representative diameter  of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere  is the kinematic viscosity of the fluid.\r\nThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\r\n\r\nwhere  is the acceleration of gravity and  is the porosity of the soil \r\nWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use  and .\r\n\r\n                              ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 838.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 419.2px; transform-origin: 407px 419.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.342px 8px; transform-origin: 256.342px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.958px 8px; transform-origin: 113.958px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.1333px 8px; transform-origin: 80.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.7333px 8px; transform-origin: 65.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. By supplying a flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.8417px 8px; transform-origin: 75.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to a standpipe, water is maintained at a constant level so that the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah\" style=\"width: 21.5px; height: 18px;\" width=\"21.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 188.533px 8px; transform-origin: 188.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference in water levels between the standpipe and outlet, is constant. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209.533px 8px; transform-origin: 209.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can then be determined from Darcy’s law\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.4167px 8px; transform-origin: 77.4167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere the head gradient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"dh/dx\" style=\"width: 39.5px; height: 18.5px;\" width=\"39.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.725px 8px; transform-origin: 30.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is simply \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah/L\" style=\"width: 38.5px; height: 18.5px;\" width=\"38.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 214.6px 8px; transform-origin: 214.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 91.025px 8px; transform-origin: 91.025px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175.417px 8px; transform-origin: 175.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.733px 8px; transform-origin: 114.733px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 371.492px 8px; transform-origin: 371.492px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 37.1px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.55px; text-align: left; transform-origin: 384px 18.55px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K = (gd^2/(180nu))(n^3/(1-n)^2)\" style=\"width: 114px; height: 37px;\" width=\"114\" height=\"37\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eg\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.242px 8px; transform-origin: 104.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the acceleration of gravity and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 78.95px 8px; transform-origin: 78.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the porosity of the soil \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 363.683px 8px; transform-origin: 363.683px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"g = 9.81 m/s^2\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"nu = 10^{-6} m^2/s\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 338.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 169.35px; text-align: left; transform-origin: 384px 169.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 494px;height: 333px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"494\" height=\"333\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: center; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = CHP(Q,L,D,dh,n)\r\n   K = f(Q,L,D,dh);\r\n   isDLvalid = true;","test_suite":"%% Coarse sand #1\r\nQ  = 8.92e-6;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.05;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #1--larger cylinder area\r\nQ  = 3.57e-5;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.1;                   %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #2\r\nQ  = 2.44e-5;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.05;                  %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 9.69e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1\r\nQ  = 1.52e-5;               %  Flow (m3/s) \r\nL  = 0.08;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.1;                   %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 2.42e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1--reduced head difference\r\nQ  = 7.61e-6;               %  Flow (m3/s) \r\nL  = 0.08;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.05;                  %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 2.42e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Medium sand #2\r\nQ  = 7.08e-7;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.05;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.3;                   %  Porosity\r\nK_correct = 1.2e-4;         %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Fine sand \r\nQ  = 3.57e-7;               %  Flow (m3/s) \r\nL  = 0.075;                 %  Sample length (m)\r\nD  = 0.075;                 %  Diameter of cylinder holding sample (m)\r\ndh = 0.4;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-5;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Silt \r\nQ  = 1.17e-7;               %  Flow (m3/s) \r\nL  = 0.05;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 3.88e-6;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nfiletext = fileread('CHP.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-08-18T23:24:39.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-17T14:41:04.000Z","updated_at":"2025-12-01T14:29:21.000Z","published_at":"2022-09-17T14:42:34.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. By supplying a flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to a standpipe, water is maintained at a constant level so that the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference in water levels between the standpipe and outlet, is constant. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe hydraulic conductivity can then be determined from Darcy’s law\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere the head gradient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003edh/dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is simply \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah/L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h/L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K = (gd^2/(180nu))(n^3/(1-n)^2)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK = \\\\frac{g d^2}{180 \\\\nu}\\\\frac{n^3}{(1-n)^2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the acceleration of gravity and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the porosity of the soil \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 9.81 m/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 9.81\\\\rm\\\\,m/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-6} m^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 10^{-6}\\\\rm\\\\,m^2/s\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"333\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"494\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":57497,"title":"Locate image wells","description":"A mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also used in fluid mechanics, electrodynamics, and other fields. The method involves reflecting each well about the boundary as shown below: the image well lies on a line running through the real well and perpendicular to the boundary, and the distances between the wells and the boundary are equal. \r\nIf a well is pumping water near an impermeable soil unit, then the image well pumps in the same sense (i.e., either both extract water or both inject water): the components of the water velocity perpendicular to the boundary cancel each other and satisfy the condition of no flow across the boundary. If the well is pumping near a river, then the image well pumps in the opposite sense (i.e., one well extracts and the other injects). At the boundary, the water injected by one well replaces the water extracted by the other, and the head, which is related to the water level, is constant on the boundary.\r\nWrite a function that takes coordinates of the real wells and coordinates of two points on the boundary and returns the coordinates of the image wells. For this problem you do not have to indicate the sense of the pumping. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 664.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 332.35px; transform-origin: 407px 332.35px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 369.933px 8px; transform-origin: 369.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also used in fluid mechanics, electrodynamics, and other fields. The method involves reflecting each well about the boundary as shown below: the image well lies on a line running through the real well and perpendicular to the boundary, and the distances between the wells and the boundary are equal. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 370.7px 8px; transform-origin: 370.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf a well is pumping water near an impermeable soil unit, then the image well pumps in the same sense (i.e., either both extract water or both inject water): the components of the water velocity perpendicular to the boundary cancel each other and satisfy the condition of no flow across the boundary. If the well is pumping near a river, then the image well pumps in the opposite sense (i.e., one well extracts and the other injects). At the boundary, the water injected by one well replaces the water extracted by the other, and the head, which is related to the water level, is constant on the boundary.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 365.892px 8px; transform-origin: 365.892px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes coordinates of the real wells and coordinates of two points on the boundary and returns the coordinates of the image wells. For this problem you do not have to indicate the sense of the pumping. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 406.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 203.35px; text-align: left; transform-origin: 384px 203.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 610px;height: 401px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"610\" height=\"401\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [xI,yI] = locateImages(x,y,xb,yb)\r\n%  x = x-coordinates of the real wells\r\n%  y = y-coordinates of the real wells\r\n%  xb = x-coordinates of two points on the boundary\r\n%  yb = y-coordinates of two points on the boundary\r\n%  xI = x-coordinates of the image wells\r\n%  yI = y-coordinates of the image wells\r\n\r\n   [xI,yI] = reflectAbout(x,y,xb,yb);\r\nend","test_suite":"%% Vertical boundary, one well\r\nx = 100; \r\ny = 0;\r\nxb = [0 0]; \r\nyb = [0 200];\r\nxI_correct = -100;\r\nyI_correct = 0;\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Vertical boundary, multiple wells\r\nx = 100*rand(1,2); \r\ny = randi(100,1,2);\r\nxb = [0 0]; \r\nyb = [0 200];\r\nxI_correct = -x;\r\nyI_correct = y;\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Horizontal boundary, one well\r\nx = 100; \r\ny = 50;\r\nxb = [0 200]; \r\nyb = [8 8];\r\nxI_correct = 100;\r\nyI_correct = -34;\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Vertical boundary, multiple wells\r\nx = 100*rand(1,2); \r\ny = randi(100,1,2);\r\nxb = [-8*pi 8*pi]; \r\nyb = [0 0];\r\nxI_correct = x;\r\nyI_correct = -y;\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% C E 473/573 problem\r\nx = 0; \r\ny = 0;\r\nxb = [-550 1050]; \r\nyb = [900 -50];\r\nxI_correct = 503.4657;\r\nyI_correct = 847.9422;\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Slanted boundary #1\r\nx = [150 210 280]; \r\ny = [50 70 95];\r\nxb = [0 200]; \r\nyb = [0 300];\r\nxI_correct = [-11.5385 -16.1538 -20];\r\nyI_correct = [157.6923 220.7692 295];\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Slanted boundary #2\r\nx = -[50 65 83 104]; \r\ny = [20 35 49 65];\r\nxb = [-107 -69]; \r\nyb = [57 22];\r\nxI_correct = [-65.4477 -81.6280 -97.0577 -114.7269];\r\nyI_correct = [3.2282 16.9468 33.7374 53.3537];\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Slanted boundary #3\r\nr = 100*rand(1,2);\r\nx = -[50 65 83 104]+r(1); \r\ny = [20 35 49 65]+r(2);\r\nxb = [-107 -69]+r(1); \r\nyb = [57 22]+r(2);\r\nxI_correct = [-65.4477 -81.6280 -97.0577 -114.7269]+r(1);\r\nyI_correct = [3.2282 16.9468 33.7374 53.3537]+r(2);\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%%\r\nfiletext = fileread('locateImages.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext, 'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-01-03T15:19:27.000Z","deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-01-03T15:19:08.000Z","updated_at":"2026-02-12T14:18:55.000Z","published_at":"2023-01-03T15:19:28.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also used in fluid mechanics, electrodynamics, and other fields. The method involves reflecting each well about the boundary as shown below: the image well lies on a line running through the real well and perpendicular to the boundary, and the distances between the wells and the boundary are equal. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf a well is pumping water near an impermeable soil unit, then the image well pumps in the same sense (i.e., either both extract water or both inject water): the components of the water velocity perpendicular to the boundary cancel each other and satisfy the condition of no flow across the boundary. If the well is pumping near a river, then the image well pumps in the opposite sense (i.e., one well extracts and the other injects). At the boundary, the water injected by one well replaces the water extracted by the other, and the head, which is related to the water level, is constant on the boundary.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes coordinates of the real wells and coordinates of two points on the boundary and returns the coordinates of the image wells. For this problem you do not have to indicate the sense of the pumping. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"401\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"610\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59034,"title":"Compute the maximum length of a contaminant plume in groundwater","description":"Problem statement \r\nWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of , and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s maximum contaminant level, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity , the magnitude of the head gradient , effective porosity , bulk density , and soil organic fraction . Along with the MCLs, the properties of the contaminants provided to the function are the half life  and the octanol-water partition coefficient .\r\nCompute the longitudinal dispersion coefficient as , where  is the average linear velocity and  is the longitudinal dispersivity. The variable aL will be specified as either a number or ‘X\u0026E’. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026 Eckstein (1995):\r\n\r\nwhere  is in meters if the flow length  is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\r\nBackground\r\nContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration  of the contaminant in time  and spatial coordinate  can be computed with\r\n\r\nThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where . Retardation is included in the retardation coefficient . The maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a second-order linear ordinary differential equation with constant coefficients, which can be solved with the boundary conditions  and . ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 605.9px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 302.95px; transform-origin: 407px 302.95px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.95px 8px; transform-origin: 64.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 151px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 75.5px; text-align: left; transform-origin: 384px 75.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 350.983px 8px; transform-origin: 350.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAoCAYAAACWwljjAAACVklEQVRYR+1XyysFURx290pYWVEsKErJo5SyYS3lUdYeC1kR/wBF1h4r2YiFskTZkUcKJTYWSnaU2PN9Nb86c8yZc87MvbcrM/V1Z+6cx3e+33NyZSV25UqMT1lGyGaRTKF/oVAVTjkEDAAtQI1y6i/cnwG3QAXQA3QD7zZl5L2PD5HIPDAFlAMXwBZwDDwFC07idyV4z7+OgH5XMhznSqgdY7eBRoAqLAJLho049iQgtYnfiXwTUjcgmcHg5HH7bODlODAC7OaTUD0Wu1FM4LpBH+YcAg2KOZ142Uz2EJiJi/nKT0KjgLND23xoGQNmg2PRVK2+p3WSRBsUp9CnYqo93A8n2cB3jokQw3dNWYyhyxAu+GUixMhg8uNFc9X6+kJS5iZCr1hQMvAj7puSbuA7z0ToW1mIGbnLd+Gk410I+YZ7FBeWHdUn6QLTwJU+2IVQWoVI5hlg0ZW8tIB7lp8OnZSJ0DkGdgbs0/qQBIgeqUwrL7p/mgjJCURR1xJANXYUJfj8FixSrUWqHDpE1ERIZGabwYstxZzFUTnnFGBXIJ2A1LQolaUShHw0LlOzyl8qJNgHrRtISR+ktyWyaRyhkI/aiitJHQBqTqIC10Al0AaMAR/ADKBncxdCIbI2QiIIFegFGK6qs9/heR9g1xhV1QtGyOI+xtcSHHEmS6RQUkJ5deqkJPR5UoZ095CwD3Whrj6UhlxcYmRybFb9rxiEJKfdY2Mp0uJbv3r0YhCiuvxYYI5ilPIjsg5YjUgTzt9laUzmNbdYCjmTygjZpMoU+nMK/QB7534p343IYgAAAABJRU5ErkJggg==\" width=\"18\" height=\"20\" alt=\"C0\" style=\"width: 18px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.525px 8px; transform-origin: 157.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.epa.gov/ground-water-and-drinking-water/national-primary-drinking-water-regulations\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003emaximum contaminant level\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 325.967px 8px; transform-origin: 325.967px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.358px 8px; transform-origin: 114.358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the magnitude of the head gradient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"49.5\" height=\"18.5\" alt=\"|dh/dx|\" style=\"width: 49.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.2083px 8px; transform-origin: 58.2083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, effective porosity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" alt=\"ne\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, bulk density \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"rhob\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.125px 8px; transform-origin: 29.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and soil organic fraction \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17.5\" height=\"20\" alt=\"phio\" style=\"width: 17.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 302.217px 8px; transform-origin: 302.217px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Along with the MCLs, the properties of the contaminants provided to the function are the half life \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"26.5\" height=\"20\" alt=\"T_1/2\" style=\"width: 26.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the octanol-water partition coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"22.5\" height=\"20\" alt=\"Koc\" style=\"width: 22.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 65px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32.5px; text-align: left; transform-origin: 384px 32.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 155.875px 8px; transform-origin: 155.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute the longitudinal dispersion coefficient as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"65.5\" height=\"20\" alt=\"DL = aLvL\" style=\"width: 65.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.8917px 8px; transform-origin: 24.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"123.5\" height=\"20\" alt=\"vL = (K/ne)|dh/dx|\" style=\"width: 123.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 105.808px 8px; transform-origin: 105.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the average linear velocity and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"aL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 136.417px 8px; transform-origin: 136.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the longitudinal dispersivity. The variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eaL\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 121.367px 8px; transform-origin: 121.367px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be specified as either a number or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.25px 8px; transform-origin: 19.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e‘X\u0026amp;E’\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 88.275px 8px; transform-origin: 88.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026amp; Eckstein (1995):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"138.5\" height=\"21\" alt=\"aL = 0.83(log10(L))^2.414\" style=\"width: 138.5px; height: 21px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"aL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.175px 8px; transform-origin: 92.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is in meters if the flow length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 250.083px 8px; transform-origin: 250.083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 383.15px 8px; transform-origin: 383.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eC\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.0083px 8px; transform-origin: 84.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the contaminant in time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.3583px 8px; transform-origin: 72.3583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and spatial coordinate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.1667px 8px; transform-origin: 15.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be computed with\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 39.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 19.95px; text-align: left; transform-origin: 384px 19.95px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"170\" height=\"40\" alt=\"dC/dt + (vL/R)dC/dx = (DL/R) d^2C/dx^2 - lam C\" style=\"width: 170px; height: 40px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 108px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 54px; text-align: left; transform-origin: 384px 54px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.05px 8px; transform-origin: 311.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"81.5\" height=\"20\" alt=\"lam = ln(2)/T_1/2\" style=\"width: 81.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Retardation is included in the retardation coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"122\" height=\"20\" alt=\"R = 1+rhobKoc phio/ne\" style=\"width: 122px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 151.317px 8px; transform-origin: 151.317px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51387\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003esecond-order linear ordinary differential equation with constant coefficients\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.9083px 8px; transform-origin: 94.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which can be solved with the boundary conditions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"67.5\" height=\"20\" alt=\"C(0) = C0\" style=\"width: 67.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"66\" height=\"18.5\" alt=\"C(infinity) = 0\" style=\"width: 66px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Lp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\n%  See the text suite for the definitions of the parameters\r\n   v  = K*dhdx/ne;\r\n   Lp = (C0-Clim)/v;\r\nend","test_suite":"%%  Dieldrin and styrene\r\nC0   = [1 15];                  %  Source concentrations (mg/L)\r\nClim = [2e-4 0.1];              %  Maximum contaminant levels (mg/L)\r\nK    = 87.5;                    %  Hydraulic conductivity (m/d)\r\ndhdx = 0.002;                   %  Magnitude of the hydraulic gradient \r\nne   = 0.25;                    %  Effective porosity\r\nrhob = 2.5;                     %  Bulk density (g/cm3)\r\nphio = 0.005;                   %  Soil organic fraction\r\nKoc  = [25120 380];             %  Octanol-water partition coefficient (mL/g)\r\naL   = 'X\u0026E';                   %  Dispersivity method\r\nTh   = [1825 182];              %  Half lives (d)\r\nLp_correct = [20.76 58.95];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  Benzene, toluene, ethylbenzene, and p-xylene\r\nC0   = 30;                      %  Source concentration (mg/L)\r\nClim = [0.005 1 0.7 10];        %  Maximum contaminant levels (mg/L)\r\nK    = 11;                      %  Hydraulic conductivity (m/d)\r\ndhdx = 0.04;                    %  Magnitude of the hydraulic gradient \r\nne   = 0.22;                    %  Effective porosity\r\nrhob = 2;                       %  Bulk density (g/cm3)\r\nphio = 0.005;                   %  Soil organic fraction\r\nKoc  = [97 242 622 552];        %  Octanol-water partition coefficient (mL/g)\r\naL   = 'X\u0026E';                   %  Dispersivity method\r\nTh   = [300 20 120 190];        %  Half lives (d)\r\nLp_correct = [1501.21 20.69 54.12 24.98];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  Glyphosate\r\nC0   = 13.9;                    %  Source concentrations (mg/L)\r\nClim = 0.7;                     %  Maximum contaminant level (mg/L)\r\nK    = 30;                      %  Hydraulic conductivity (m/d)\r\ndhdx = 0.0005;                  %  Magnitude of the hydraulic gradient \r\nne   = 0.18;                    %  Effective porosity\r\nrhob = 1.9;                     %  Bulk density (g/cm3)\r\nphio = 0.001;                   %  Soil organic fraction\r\nKoc  = 4e-5;                    %  Octanol-water partition coefficient (mL/g)\r\naL   = 2.8;                     %  Dispersivity method\r\nTh   = 300;                     %  Half life (d)\r\nLp_correct = 115.59;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  1,4-dioxane\r\nC0   = 10;                      %  Source concentrations (mg/L)\r\nClim = 3e-4;                    %  Limit set by Massachusetts (mg/L)\r\nK    = 7.77;                    %  Hydraulic conductivity (m/d)\r\ndhdx = 0.01;                    %  Magnitude of the hydraulic gradient \r\nne   = 0.21;                    %  Effective porosity\r\nrhob = 1.8;                     %  Bulk density (g/cm3)\r\nphio = 0.003;                   %  Soil organic fraction\r\nKoc  = 1;                       %  Octanol-water partition coefficient (mL/g)\r\naL   = 3;                       %  Dispersivity method\r\nTh   = 1;                       %  Half life (d)\r\nLp_correct = 16;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  Benzene\r\nC0   = 2;                       %  Source concentrations (mg/L)\r\nClim = 0.005;                   %  Maximum contaminant level (mg/L)\r\nK    = 11;                      %  Hydraulic conductivity (m/d)\r\ndhdx = 0.0035;                  %  Magnitude of the hydraulic gradient \r\nne   = 0.1;                     %  Effective porosity\r\nrhob = 1.7;                     %  Bulk density (g/cm3)\r\nphio = 0.002;                   %  Soil organic fraction\r\nKoc  = 97;                      %  Octanol-water partition coefficient (mL/g)\r\naL   = 6;                       %  Dispersivity method\r\nTh   = 300;                     %  Half life (d)\r\nLp_correct = 263.93;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  p-xylene\r\nC0   = 200;                     %  Source concentrations (mg/L)\r\nClim = 10;                      %  Maximum contaminant level (mg/L)\r\nK    = 11;                      %  Hydraulic conductivity (m/d)\r\ndhdx = 0.0035;                  %  Magnitude of the hydraulic gradient \r\nne   = 0.1;                     %  Effective porosity\r\nrhob = 1.7;                     %  Bulk density (g/cm3)\r\nphio = 0.002;                   %  Soil organic fraction\r\nKoc  = 552;                     %  Octanol-water partition coefficient (mL/g)\r\naL   = 6;                       %  Dispersivity method\r\nTh   = 190;                     %  Half life (d)\r\nLp_correct = 26.74;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  Ethylbenzene\r\nC0   = 100;                     %  Source concentrations (mg/L)\r\nClim = 0.7;                     %  Maximum contaminant level (mg/L)\r\nK    = 11;                      %  Hydraulic conductivity (m/d)\r\ndhdx = 0.0035;                  %  Magnitude of the hydraulic gradient \r\nne   = 0.1;                     %  Effective porosity\r\nrhob = 1.7;                     %  Bulk density (g/cm3)\r\nphio = 0.002;                   %  Soil organic fraction\r\nKoc  = 622;                     %  Octanol-water partition coefficient (mL/g)\r\naL   = 6;                       %  Dispersivity method\r\nTh   = 120;                     %  Half life (d)\r\nLp_correct = 29.83;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  Nastene, phylthene, siccanol (fictitious chemicals)\r\nC0   = [10 10 20];              %  Source concentrations (mg/L)\r\nClim = [1 2 0.1];               %  Limits (mg/L)\r\nK    = 0.2;                     %  Hydraulic conductivity (m/d)\r\ndhdx = 0.008;                   %  Magnitude of the hydraulic gradient \r\nne   = 0.08;                    %  Effective porosity\r\nrhob = 2;                       %  Bulk density (g/cm3)\r\nphio = 0.003;                   %  Soil organic fraction\r\nKoc  = [15 80 2];               %  Octanol-water partition coefficient (mL/g)\r\naL   = 2;                       %  Dispersivity method\r\nTh   = [30 100 475];            %  Half lives (d)\r\nLp_correct = [2.6 1.83 72.39];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-10-01T15:59:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-01T15:47:36.000Z","updated_at":"2026-02-12T14:03:58.000Z","published_at":"2023-10-01T15:59:04.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.epa.gov/ground-water-and-drinking-water/national-primary-drinking-water-regulations\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emaximum contaminant level\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the magnitude of the head gradient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"|dh/dx|\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e|dh/dx|\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, effective porosity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ne\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, bulk density \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rhob\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rho_b\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and soil organic fraction \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"phio\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\phi_o\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Along with the MCLs, the properties of the contaminants provided to the function are the half life \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T_1/2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT_{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the octanol-water partition coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Koc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{oc}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute the longitudinal dispersion coefficient as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"DL = aLvL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD_L = a_L v_\\\\ell\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"vL = (K/ne)|dh/dx|\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev_\\\\ell = (K/n_e)|dh/dx|\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the average linear velocity and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the longitudinal dispersivity. The variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eaL\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e will be specified as either a number or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e‘X\u0026amp;E’\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026amp; Eckstein (1995):\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL = 0.83(log10(L))^2.414\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L = 0.83(\\\\log_{10}L)^{2.414}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is in meters if the flow length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the contaminant in time \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and spatial coordinate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be computed with\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dC/dt + (vL/R)dC/dx = (DL/R) d^2C/dx^2 - lam C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{\\\\partial C}{\\\\partial t}+\\\\frac{v_\\\\ell}{R}\\\\frac{\\\\partial C}{\\\\partial x}=\\\\frac{D_L}{R}\\\\frac{\\\\partial^2 C}{\\\\partial x^2} - \\\\lambda C\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"lam = ln(2)/T_1/2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\lambda = \\\\ln2/T_{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Retardation is included in the retardation coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R = 1+rhobKoc phio/ne\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR = 1+\\\\rho_b K_{oc} \\\\phi_o/n_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51387\\\"\u003e\u003cw:r\u003e\u003cw:t\u003esecond-order linear ordinary differential equation with constant coefficients\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, which can be solved with the boundary conditions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C(0) = C0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(0) = C_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C(infinity) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(\\\\infty) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":57532,"title":"Compute steady drawdown in a confined aquifer","description":"A well extracting water from a confined aquifer will lower the piezometric head and create a cone of depression. In steady state, if the distance  to the point where the drawdown is wanted is smaller than the radius of influence , then the drawdown  of a well pumping at rate  in a confined aquifer of transmissivity  is \r\n\r\nIf the distance  is greater than the radius of influence, then the drawdown is zero. If multiple wells are pumping, the drawdown at the requested point is the sum of the drawdowns from the individual wells. \r\nBoundaries, such as no-flow and constant-head boundaries, can be modeled using the method of images, as described in Cody Problem 57497. Each real well will have a corresponding image, and the drawdown will be the sum of the drawdowns from all wells—real and image. Recall from the previous problem that for no-flow boundaries, the image wells pump in the same sense as the real wells, whereas for constant-head boundaries, the image wells pump in the opposite sense as the real wells. \r\nWrite a function to compute steady-state drawdown in a confined aquifer. Input to the function will be the - and -coordinates of the points where drawdown is requested, the - and -coordinates of the real wells, the pumping rates and radii of influence of the wells, and the transmissivity of the aquifer. If a boundary is present, it will be specified by two pairs of - and -coordinates as well as a character string (‘NF’ for no-flow, ‘CH’ for constant-head).  ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 369.9px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 184.95px; transform-origin: 407px 184.95px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.925px 8px; transform-origin: 376.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA well extracting water from a confined aquifer will lower the piezometric head and create a cone of depression. In steady state, if the distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 254.008px 8px; transform-origin: 254.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the point where the drawdown is wanted is smaller than the radius of influence \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1083px 8px; transform-origin: 31.1083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, then the drawdown \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003es\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.125px 8px; transform-origin: 80.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a well pumping at rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACYAAAAoCAYAAACSN4jeAAAC/0lEQVRYR+1Xu2pVQRRNviCJsUyV2AiCQfKAYAotfAVsVUghCCZqZ6FGsfKFYqtJwDKifoCiWAjGFNEIiggBH5XYmegX6FqwN+wzd2bOPifXkOIMLObeO681az9m386OLdo6tyivjoZYVcs0im22Yr04cKc59E1VAqn5dUzZj81OAceAAeCFbD4i/WP0d4HvGyFZhRjVOQ9clgNPoCcJbRy/BpwB1oGjQG0FvcR245AHwBDwDRgFfiUU+SpKct6Busp5iJHUK6BHiNB8OTNNYXxO5t5Ef6WOScuI0TzLogD3D80XO3MvflyUgTJ1k5zLiD3HyoOyegX9sOP2lhinDwIfHesKU3LEjmPmIzPbe0BIbAJ7PGsnMXVi7ulVi3Otj/H7OFA5OlOKhWpNY/N5563vYx5Thrbt+JCK4Mo+xvzEBFpnc6s0nX+H80IuH1vDLE0PzOyHnJvzVSAZbbP4cNa5tpRYuHmVXHQBu982J6QChgHClvS9mI9tJKqsGZ/gYPqqbQyMW8AksAs4DZyMEWwnsTBgwhdCo9WmDyp8CdgHFHJdKir/mmt68lD4QoRRzPEvsuc2s7e6TYu6KWLvsJgPNpsnVdgUEXN4VTMWSBpoBYU9eSzmK9ZvrAlTUXgDC1guxQJJn72CZXJPkn0nU9nbRmHugde9csQKYzli9It7ABMtC78Z4LNI1Yf+OkD5qeg5IJfd20pMzcX0cVhMQYJvgd8Aa7SXgKeE/i/EqNxDgOVPWZFofe8IvqwKcQ2OnCkvYu4d3aCsHmM401SMUPZUieb8WaIUnZ1ltdZvmsNixDQDFPw4R4w3XgD0zbRq8DNLIW76Gvghg2Pomc1pcr6v6ncszz/ImrDY1JxZ4BIjpv+GWLow/P/IofvRazUbkrTfCyYxA+pn1h14+adAi5IpxXjDWDlM0vyHxHduD9AtB79HvwTw/0EqOukWVJkl1VVZR7JsLSV7mY/llKkzxovxz3KXLP4kRFv22mxi7ss0xNxSycRGsUaxqgpUnf8PbqOmKWAXBIwAAAAASUVORK5CYII=\" alt=\"Q0\" style=\"width: 19px; height: 20px;\" width=\"19\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 118.633px 8px; transform-origin: 118.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a confined aquifer of transmissivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eT\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 8px; transform-origin: 8.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 38.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 19.45px; text-align: left; transform-origin: 384px 19.45px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s = (Q0/2piT) ln(R/r)\" style=\"width: 97px; height: 39px;\" width=\"97\" height=\"39\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.5px 8px; transform-origin: 45.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf the distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 310.4px 8px; transform-origin: 310.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is greater than the radius of influence, then the drawdown is zero. If multiple wells are pumping, the drawdown at the requested point is the sum of the drawdowns from the individual wells. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.892px 8px; transform-origin: 378.892px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBoundaries, such as no-flow and constant-head boundaries, can be modeled using the method of images, as described in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/57497-locate-image-wells\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 57497\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 317.433px 8px; transform-origin: 317.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Each real well will have a corresponding image, and the drawdown will be the sum of the drawdowns from all wells—real and image. Recall from the previous problem that for no-flow boundaries, the image wells pump in the same sense as the real wells, whereas for constant-head boundaries, the image wells pump in the opposite sense as the real wells. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 323.875px 8px; transform-origin: 323.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute steady-state drawdown in a confined aquifer. Input to the function will be the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 189.05px 8px; transform-origin: 189.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-coordinates of the points where drawdown is requested, the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 150.925px 8px; transform-origin: 150.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-coordinates of the real wells, the pumping rates and radii of influence of the wells, and the transmissivity of the aquifer. If a boundary is present, it will be specified by two pairs of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 257.883px 8px; transform-origin: 257.883px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-coordinates as well as a character string (‘NF’ for no-flow, ‘CH’ for constant-head). \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = drawdown(x,y,xw,yw,Q0,R,T,varargin)\r\n%  s = drawdown\r\n%  (x,y) = points where drawdown is requested\r\n%  (xw,yw) = coordinates of real wells\r\n%  Q0 = pumping rates\r\n%  R = radii of influence\r\n%  T = transmissivity\r\n%  varargin:\r\n%     (xb,yb) = coordinates of two points on the boundary\r\n%     btype = type of boundary ('NF' = no-flow, 'CH' = constant-head)\r\ns = (Q0/(2*pi*T)*ln(R/hypot(x-xw,y-yw);\r\nend","test_suite":"%%  Single well in an infinite aquifer\r\nx  = 50;                        %  x-coordinate of drawdown point (m)\r\ny  = 100;                       %  y-coordinate of drawdown point (m)\r\nxw = 0;                         %  x-coordinates of wells (m) \r\nyw = 0;                         %  y-coordinates of wells (m)\r\nQ0 = 800;                       %  Pumping rates (m3/d)\r\nR  = 910;                       %  Radius of influence (m)\r\nT  = 150;                       %  Transmissivity (m2/d)\r\ns  = drawdown(x,y,xw,yw,Q0,R,T);\r\ns_correct = 1.7797;             \r\nassert(all(abs(s-s_correct)\u003c1e-3))\r\n\r\n%%  Single well in an infinite aquifer, drawdown requested at multiple points\r\nx  = [50 400 93];               %  x-coordinate of drawdown point (m)\r\ny  = [100 818 45];              %  y-coordinate of drawdown point (m)\r\nxw = 0;                         %  x-coordinate of well (m) \r\nyw = 0;                         %  y-coordinate of well (m)\r\nQ0 = 800;                       %  Pumping rate (m3/d)\r\nR  = 910;                       %  Radius of influence (m)\r\nT  = 150;                       %  Transmissivity (m2/d)\r\ns  = drawdown(x,y,xw,yw,Q0,R,T);\r\ns_correct = [1.7797 0 1.8468];             \r\nassert(all(abs(s-s_correct)\u003c1e-3))\r\n\r\n%%  Single well in an infinite aquifer, drawdown requested at random points\r\nx  = 200*rand(1,8);             %  x-coordinate of drawdown point (m)\r\ny  = zeros(1,8);                %  y-coordinate of drawdown point (m)\r\nxw = 0;                         %  x-coordinate of well (m) \r\nyw = 0;                         %  y-coordinate of well (m)\r\nQ0 = 1200;                      %  Pumping rate (m3/d)\r\nR  = 450;                       %  Radius of influence (m)\r\nT  = 175;                       %  Transmissivity (m2/d)\r\ns  = drawdown(x,y,xw,yw,Q0,R,T);\r\nassert(all(abs(s(2:end)/s(1)-log(R./x(2:end))/log(R./x(1)))\u003c1e-3))\r\n\r\n%%  Three wells in an infinite aquifer\r\nx  = 0;                         %  x-coordinate of drawdown point (m)\r\ny  = 0;                         %  y-coordinate of drawdown point (m)\r\nxw = [150 200 -300];            %  x-coordinates of wells (m) \r\nyw = [200 -150 100];            %  y-coordinates of wells (m)\r\nQ0 = [1000 1500 2000];          %  Pumping rates (m3/d)\r\nR  = 450;                       %  Radius of influence (m)\r\nT  = 430;                       %  Transmissivity (m2/d)\r\ns  = drawdown(x,y,xw,yw,Q0,R,T);\r\ns_correct = 0.8050;             \r\nassert(all(abs(s-s_correct)\u003c1e-3))\r\n\r\n%%  Two extraction wells and one injection well in an infinite aquifer\r\nx  = [0 50 270];                %  x-coordinate of drawdown point (m)\r\ny  = [0 100 -180];              %  y-coordinate of drawdown point (m)\r\nxw = [150 200 -300];            %  x-coordinates of wells (m) \r\nyw = [200 -150 100];            %  y-coordinates of wells (m)\r\nQ0 = [1200 -500 800];           %  Pumping rates (m3/d)\r\nR  = [450 280 620];             %  Radius of influence (m)\r\nT  = 340;                       %  Transmissivity (m2/d)\r\ns  = drawdown(x,y,xw,yw,Q0,R,T);\r\ns_correct = [0.5558 0.8643 -0.2365];             \r\nassert(all(abs(s-s_correct)\u003c1e-3))\r\n\r\n%%  Well near a slanted boundary\r\nx  = 350;                       %  x-coordinate of drawdown point (m)\r\ny  = 100;                       %  y-coordinate of drawdown point (m)\r\nxw = 0;                         %  x-coordinate of well (m) \r\nyw = 0;                         %  y-coordinate of well (m)\r\nQ0 = 300;                       %  Pumping rate (m3/d)\r\nR  = 1000;                      %  Radius of influence (m)\r\nT  = 210;                       %  Transmissivity (m2/d)\r\nxb = [-550 1050];               %  x-coordinates of points on boundary (m)\r\nyb = [900 -50];                 %  y-coordinates of points on boundary (m)\r\nsNB  = drawdown(x,y,xw,yw,Q0,R,T);\r\nsNF  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'NF');\r\nsCH  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'CH');\r\nsNB_correct = 0.2298;\r\nsNF_correct = 0.2911;\r\nsCH_correct = 0.1684;             \r\nassert(all(abs(sNB-sNB_correct)\u003c1e-3))    \r\nassert(all(abs(sNF-sNF_correct)\u003c1e-3))    \r\nassert(all(abs(sCH-sCH_correct)\u003c1e-3))\r\n\r\n%%  Wells near a boundary parallel to the y-axis\r\nx  = [20 50 -320];               %  x-coordinate of drawdown point (m)\r\ny  = [30 46 -300];               %  y-coordinate of drawdown point (m)\r\nxw = [50 75 85 43];              %  x-coordinate of well (m) \r\nyw = [10 35 67 91];              %  y-coordinate of well (m)\r\nQ0 = [150 600 420 80];           %  Pumping rate (m3/d)\r\nR  = 670;                        %  Radius of influence (m)\r\nT  = 195;                        %  Transmissivity (m2/d)\r\nxb = [140 140];                  %  x-coordinates of points on boundary (m)\r\nyb = randi(1500,[1 2]);          %  y-coordinates of points on boundary (m)\r\nsNB  = drawdown(x,y,xw,yw,Q0,R,T);\r\nsNF  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'NF');\r\nsCH  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'CH');\r\nsNB_correct = [2.4837 3.0597 0.2509];\r\nsNF_correct = [3.7791 4.5365 0.3138];\r\nsCH_correct = [1.1884 1.5830 0.1880];             \r\nassert(all(abs(sNB-sNB_correct)\u003c1e-3))    \r\nassert(all(abs(sNF-sNF_correct)\u003c1e-3))    \r\nassert(all(abs(sCH-sCH_correct)\u003c1e-3))\r\n\r\n%%  Wells near a boundary parallel to the x-axis\r\nx  = [0 -20 -40 370];            %  x-coordinate of drawdown point (m)\r\ny  = [0 25 -40 90];              %  y-coordinate of drawdown point (m)\r\nxw = [-72 13 50 -20];            %  x-coordinate of well (m) \r\nyw = [14 28 0 -14];              %  y-coordinate of well (m)\r\nQ0 = [230 410 380 215];          %  Pumping rate (m3/d)\r\nR  = 450;                        %  Radius of influence (m)\r\nT  = 81;                         %  Transmissivity (m2/d)\r\nxb = randi(982,[1 2]);           %  x-coordinates of points on boundary (m)\r\nyb = [-43 -43];          %  y-coordinates of points on boundary (m)\r\nsNB  = drawdown(x,y,xw,yw,Q0,R,T);\r\nsNF  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'NF');\r\nsCH  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'CH');\r\nsNB_correct = [5.8499 5.4446 4.4620 0.4481];\r\nsNF_correct = [9.4217 8.4800 8.7657 0.7035];\r\nsCH_correct = [2.2783 2.4091 0.1584 0.1927];             \r\nassert(all(abs(sNB-sNB_correct)\u003c1e-3))    \r\nassert(all(abs(sNF-sNF_correct)\u003c1e-3))    \r\nassert(all(abs(sCH-sCH_correct)\u003c1e-3))\r\n\r\n%%\r\nfiletext = fileread('drawdown.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":46909,"edited_by":46909,"edited_at":"2023-01-08T16:30:10.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":"2023-01-08T16:28:26.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-01-08T02:57:32.000Z","updated_at":"2026-02-12T14:29:49.000Z","published_at":"2023-01-08T02:58:04.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA well extracting water from a confined aquifer will lower the piezometric head and create a cone of depression. In steady state, if the distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to the point where the drawdown is wanted is smaller than the radius of influence \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, then the drawdown \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a well pumping at rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in a confined aquifer of transmissivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s = (Q0/2piT) ln(R/r)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es = \\\\frac{Q_0}{2\\\\pi T} \\\\ln\\\\left(\\\\frac{R}{r}\\\\right)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf the distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is greater than the radius of influence, then the drawdown is zero. If multiple wells are pumping, the drawdown at the requested point is the sum of the drawdowns from the individual wells. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBoundaries, such as no-flow and constant-head boundaries, can be modeled using the method of images, as described in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/57497-locate-image-wells\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 57497\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Each real well will have a corresponding image, and the drawdown will be the sum of the drawdowns from all wells—real and image. Recall from the previous problem that for no-flow boundaries, the image wells pump in the same sense as the real wells, whereas for constant-head boundaries, the image wells pump in the opposite sense as the real wells. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute steady-state drawdown in a confined aquifer. Input to the function will be the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e- and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-coordinates of the points where drawdown is requested, the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e- and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-coordinates of the real wells, the pumping rates and radii of influence of the wells, and the transmissivity of the aquifer. If a boundary is present, it will be specified by two pairs of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e- and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-coordinates as well as a character string (‘NF’ for no-flow, ‘CH’ for constant-head). \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59002,"title":"Compute piezometric head in a leaky confined aquifer","description":"Problem statement\r\nWrite a function to compute the piezometric head  in a leaky confined aquifer and the position of a groundwater divide  given the boundary heads  at  and  at  and head  (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are  and , and the hydraulic conductivity and thickness of the leaking confining layer are  and . If there is no groundwater divide, set xd to the empty set []. \r\nBackground\r\nAs in other problems in this series, the movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If  is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is , and the flow out of the right side is . If  is the specific discharge through the leaky confining layer, the flow into the volume through the top is . Then the mass (or volume) balance is\r\n\r\nRearranging, dividing by , and taking the limit as  goes to zero gives\r\n\r\nDarcy’s law allows the specific discharge through the aquifer to be written as  and the specific discharge through the leaky confining layer to be approximated as . Then \r\n\r\nOne can solve this second-order linear ordinary differential equation using the boundary heads to get the piezometric head in the aquifer. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 939.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 469.55px; transform-origin: 407px 469.55px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 153.9px 8px; transform-origin: 153.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211.233px 8px; transform-origin: 211.233px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a leaky confined aquifer and the position of a groundwater divide \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" alt=\"xd\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e given the boundary heads \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"h0\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"hL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.0667px 8px; transform-origin: 33.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 164.933px 8px; transform-origin: 164.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.125px 8px; transform-origin: 59.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the hydraulic conductivity and thickness of the leaking confining layer are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"18\" alt=\"K'\" style=\"width: 19px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"18\" alt=\"b'\" style=\"width: 15px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 118.625px 8px; transform-origin: 118.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If there is no groundwater divide, set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003exd\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the empty set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 126px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 63px; text-align: left; transform-origin: 384px 63px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58997\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eother\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eproblems\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ein\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56205\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ethis\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eseries\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 264.883px 8px; transform-origin: 264.883px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ev\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 97.2417px 8px; transform-origin: 97.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"27\" height=\"18\" alt=\"vbw\" style=\"width: 27px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112.008px 8px; transform-origin: 112.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the flow out of the right side is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"73\" height=\"18.5\" alt=\"(v+Deltav)bw\" style=\"width: 73px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 8px; transform-origin: 9.70833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14\" height=\"18\" alt=\"v'\" style=\"width: 14px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.825px 8px; transform-origin: 18.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the specific discharge through the leaky confining layer, the flow into the volume through the top is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"42.5\" height=\"18\" alt=\"v'wDeltax\" style=\"width: 42.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 62.6083px 8px; transform-origin: 62.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then the mass (or volume) balance is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"316.5\" height=\"18.5\" alt=\"0 = vbw - (v+Deltav)bw + v'wDeltax = -bwDeltav + v'wDeltax\" style=\"width: 316.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.425px 8px; transform-origin: 77.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eRearranging, dividing by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"38.5\" height=\"18\" style=\"width: 38.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.5083px 8px; transform-origin: 73.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and taking the limit as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21.5\" height=\"18\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.7333px 8px; transform-origin: 58.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e goes to zero gives\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"71\" height=\"35\" alt=\"dv/dx - v'/b = 0\" style=\"width: 71px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 238.317px 8px; transform-origin: 238.317px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDarcy’s law allows the specific discharge through the aquifer to be written as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"98.5\" height=\"18.5\" alt=\"v = -K(dh/dx)\" style=\"width: 98.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.8px 8px; transform-origin: 84.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the specific discharge through the leaky confining layer to be approximated as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"117\" height=\"18.5\" alt=\"v' = K'(H-h)/b'\" style=\"width: 117px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.775px 8px; transform-origin: 21.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"152\" height=\"36.5\" alt=\"K d2h/dx2 + (K'/(bb'))(H-h) = 0\" style=\"width: 152px; height: 36.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.5083px 8px; transform-origin: 59.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOne can solve this \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51387\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003esecond-order linear ordinary differential equation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 170.767px 8px; transform-origin: 170.767px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e using the boundary heads to get the piezometric head in the aquifer. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 376.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 188.35px; text-align: left; transform-origin: 384px 188.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"581\" height=\"371\" style=\"vertical-align: baseline;width: 581px;height: 371px\" src=\"data:image/png;base64,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\" alt=\"leaky confined aquifer\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H)\r\n  h = H + (hL-h0*(x/L)*sin(Kp*x^2/(Kp*b*bp));\r\n  xd = x\r\nend","test_suite":"%%\r\nL = 3300;                                     %  Length (m)    \r\nx = 1000;                                     %  Position where head is desired (m)\r\nh0 = 32;                                      %  Piezometric head at x = 0 (m)\r\nhL = 29;                                      %  Piezometric head at x = L (m)\r\nH = 39;                                       %  Head in unconfined aquifer (m)\r\nK = 12;                                       %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 8e-5;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15;                                       %  Thickness of aquifer (m)\r\nbp = 2;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = 32.7897;\r\nxd_correct = 1060.65;\r\nassert(abs(h-h_correct)\u003c1e-3)\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 3300;                                     %  Length (m)    \r\nx = 700:700:2800;                             %  Position where head is desired (m)\r\nh0 = 32;                                      %  Piezometric head at x = 0 (m)\r\nhL = 29;                                      %  Piezometric head at x = L (m)\r\nH = 39;                                       %  Head in unconfined aquifer (m)\r\nK = 12;                                       %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 3e-4;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15;                                       %  Thickness of aquifer (m)\r\nbp = 2;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [34.6548 35.4741 34.8040 32.3615];\r\nxd_correct = 1433.93;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 2500;                                     %  Length (m)    \r\nx = 0:500:2500;                               %  Position where head is desired (m)\r\nh0 = 45;                                      %  Piezometric head at x = 0 (m)\r\nhL = 42;                                      %  Piezometric head at x = L (m)\r\nH = 50;                                       %  Head in unconfined aquifer (m)\r\nK = 4;                                        %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-5;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 30;                                       %  Thickness of aquifer (m)\r\nbp = 3;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [45 44.5664 44.0573 43.4656 42.7830 42];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 2500;                                     %  Length (m)    \r\nx = 0:500:2500;                               %  Position where head is desired (m)\r\nh0 = 45;                                      %  Piezometric head at x = 0 (m)\r\nhL = 42;                                      %  Piezometric head at x = L (m)\r\nH = 50;                                       %  Head in unconfined aquifer (m)\r\nK = 4;                                        %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-4;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 30;                                       %  Thickness of aquifer (m)\r\nbp = 3;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [45 45.6796 45.7522 45.2279 44.0331 42];\r\nxd_correct = 811.72;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 3300;                                     %  Length (m)    \r\nx = 700:700:2900;                             %  Position where head is desired (m)\r\nh0 = 32;                                      %  Piezometric head at x = 0 (m)\r\nhL = 29;                                      %  Piezometric head at x = L (m)\r\nH = 39;                                       %  Head in unconfined aquifer (m)\r\nK = 12;                                       %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 3e-4;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15;                                       %  Thickness of aquifer (m)\r\nbp = 2;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [34.6548 35.4741 34.8040 32.3615];\r\nxd_correct = 1433.93;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 1000;                                     %  Length (m)    \r\nx = [130 280 390 560 710 940];                %  Position where head is desired (m)\r\nh0 = 34;                                      %  Piezometric head at x = 0 (m)\r\nhL = 33;                                      %  Piezometric head at x = L (m)\r\nH = 38;                                       %  Head in unconfined aquifer (m)\r\nK = 0.5;                                      %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-4;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 24;                                       %  Thickness of aquifer (m)\r\nbp = 1;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [35.5547 36.4902 36.7941 36.7832 36.2740 34.0536];\r\nxd_correct = 471.73;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nfiletext = fileread('leakyConfAq.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-23T13:55:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-23T13:48:39.000Z","updated_at":"2026-02-12T13:57:58.000Z","published_at":"2023-09-23T13:51:50.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in a leaky confined aquifer and the position of a groundwater divide \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xd\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_d\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e given the boundary heads \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the hydraulic conductivity and thickness of the leaking confining layer are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If there is no groundwater divide, set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exd\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to the empty set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58997\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eother\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eproblems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ein\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56205\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethis\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eseries\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"vbw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003evbw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the flow out of the right side is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(v+Deltav)bw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(v+\\\\Delta v)bw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the specific discharge through the leaky confining layer, the flow into the volume through the top is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v'wDeltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime w\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then the mass (or volume) balance is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"0 = vbw - (v+Deltav)bw + v'wDeltax = -bwDeltav + v'wDeltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e0 = vbw - (v+\\\\Delta v)bw+v\\\\prime w\\\\Delta x = -bw\\\\Delta v+v\\\\prime w\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRearranging, dividing by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ebw\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and taking the limit as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e goes to zero gives\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dv/dx - v'/b = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{dv}{dx}-\\\\frac{v\\\\prime}{b} = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDarcy’s law allows the specific discharge through the aquifer to be written as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = -K(dh/dx)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = -K(dh/dx)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the specific discharge through the leaky confining layer to be approximated as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v' = K'(H-h)/b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime = K\\\\prime(H-h)/b\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K d2h/dx2 + (K'/(bb'))(H-h) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\frac{d^2h}{dx^2} + \\\\frac{K\\\\prime}{bb\\\\prime}(H-h) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOne can solve this \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51387\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esecond-order linear ordinary differential equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e using the boundary heads to get the piezometric head in the aquifer. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"371\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"581\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"leaky confined aquifer\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59104,"title":"Design a capture zone","description":"One approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \r\nIf the background flow (with flow per unit width* ) is left to right, then the coordinates  of a point on the capture zone are given by , where the well is at (0,0) and  is the distance to the stagnation point downstream of the well. The distance  can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \r\nWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \r\n*Recall that specific discharge  is flow per area over which the flow is occurring. Then flow per unit width is , where  is the thickness of the confined aquifer. \r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 777.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 388.85px; transform-origin: 407px 388.85px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 360.567px 8px; transform-origin: 360.567px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOne approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 87px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 43.5px; text-align: left; transform-origin: 384px 43.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147.808px 8px; transform-origin: 147.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf the background flow (with flow per unit width* \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" alt=\"Q'\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.175px 8px; transform-origin: 113.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) is left to right, then the coordinates \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43\" height=\"20\" alt=\"(xc, yc)\" style=\"width: 43px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3417px 8px; transform-origin: 79.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a point on the capture zone are given by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"115\" height=\"20\" alt=\"xc = yc/tan(yc/x0)\" style=\"width: 115px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.2917px 8px; transform-origin: 95.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where the well is at (0,0) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x0\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 166.658px 8px; transform-origin: 166.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the distance to the stagnation point downstream of the well. The distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x0\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 302.633px 8px; transform-origin: 302.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 377.958px 8px; transform-origin: 377.958px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.3083px 8px; transform-origin: 95.3083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e*Recall that specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ev\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 235.325px 8px; transform-origin: 235.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is flow per area over which the flow is occurring. Then flow per unit width is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"51\" height=\"18\" alt=\"Q' = vb\" style=\"width: 51px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.0583px 8px; transform-origin: 23.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 124.458px 8px; transform-origin: 124.458px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the thickness of the confined aquifer. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 477.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 238.85px; text-align: left; transform-origin: 384px 238.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"620\" height=\"472\" style=\"vertical-align: baseline;width: 620px;height: 472px\" src=\"data:image/png;base64,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\" alt=\"Capture zone\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Q0 = captureZone(x,y,Qp)\r\n% x,y = coordinates of contaminated area\r\n% Qp  = background flow per unit width\r\n% Q0  = required pumping rate\r\n  Q0 = Qp*max(abs(y));\r\nend","test_suite":"%% \r\nx  = -100;                                      %  x-coordinate of contaminated area (m)\r\ny  = 75;                                        %  y-coordinate of contaminated area (m)\r\nQp = 2;                                         %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 377.3;                             %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx  = [-100 -100 -300 -300];                     %  x-coordinates of contaminated area (m)\r\ny  = [75 -75 -75 75];                           %  y-coordinates of contaminated area (m)\r\nQp = 2;                                         %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 377.3;                             %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx  = [-100 -100 -200 -300 -300 -200];           %  x-coordinates of contaminated area (m)\r\ny  = [75 -75 -100 -75 75 100];                  %  y-coordinates of contaminated area (m)\r\nQp = 2;                                         %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 469.3;                             %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2021 exam 2 problem 5\r\nx  = [-47.1 -48.9 22.4];                        %  x-coordinates of contaminated area (m)\r\ny  = [10 -10 -30];                              %  y-coordinates of contaminated area (m)    \r\nQp = 0.048;                                     %  Background flow per unit width (m2/d)    \r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 9.73;                              %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2022 exam 2 problem 3\r\nx  = -18.5;                                     %  x-coordinate of contaminated area (m)\r\ny  = -25;                                       %  y-coordinate of contaminated area (m)\r\nQp = 0.45;                                      %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 32;                                %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2a problem 5\r\nx  = -25;                                       %  x-coordinate of contaminated area (m)\r\ny  = 60;                                        %  y-coordinate of contaminated area (m)    \r\nQp = 0.231;                                     %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 44.3;                              %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2b problem 5\r\nx  = -10;                                       %  x-coordinate of contaminated area (m)\r\ny  = 20;                                        %  y-coordinate of contaminated area (m)    \r\nQp = 0.231;                                     %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 14.27;                             %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2c problem 5\r\nx  = -25;                                       %  x-coordinate of contaminated area (m)\r\ny  = 20;                                        %  y-coordinate of contaminated area (m)    \r\nQp = 0.231;                                     %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 11.77;                             %  Pumping rate (m3/d)    \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx  = [15 -50 -100 -45];                         %  x-coordinates of contaminated area (m)\r\ny  = [20 40 32 5];                              %  y-coordinates of contaminated area (m)\r\nQp = 0.3;                                       %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 40.65;                             %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx  = [15 -50 -100 -45];                         %  x-coordinates of contaminated area (m)\r\ny  = [20 53 32 5];                              %  y-coordinates of contaminated area (m)\r\nQp = 0.3;                                       %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 42.93;                             %  Pumping rate (m3/d)    \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx  = 200;                                       %  x-coordinate of contaminated area (m)\r\ny  = 0;                                         %  y-coordinate of contaminated area (m)    \r\nQp = 3.6;                                       %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 4523.9;                            %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx  = [200 110   0 -100 -175 -220 -160  -80   40];      %  x-coordinates of contaminated area (m)\r\ny  = [  0 125 300  320  180   40 -195 -280 -250];      %  y-coordinates of contaminated area (m) \r\nQp = 0.5;                                              %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 628.3;                                    %  Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx  = [200 110   0 -100 -175 -220 -160  -80  100];      %  x-coordinates of contaminated area (m)\r\ny  = [  0 125 300  320  180   40 -195 -280 -250];      %  y-coordinates of contaminated area (m) \r\nQp = 0.5;                                              %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 659.8;                                    %  Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('captureZone.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-30T14:16:43.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-14T20:07:58.000Z","updated_at":"2026-02-12T14:46:59.000Z","published_at":"2023-10-14T20:08:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOne approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf the background flow (with flow per unit width* \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) is left to right, then the coordinates \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(xc, yc)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(x_c,y_c)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a point on the capture zone are given by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xc = yc/tan(yc/x0)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_c = y_c/\\\\tan(y_c/x_0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where the well is at (0,0) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the distance to the stagnation point downstream of the well. The distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e*Recall that specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is flow per area over which the flow is occurring. Then flow per unit width is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q' = vb\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\\\\prime = vb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the thickness of the confined aquifer. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"472\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"620\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Capture zone\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAzsAAAJ1CAYAAAD+Cu6HAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsIAAA7CARUoSoAAAKr6SURBVHhe7d0JvEzlH8fxn6xlKaSFFioVUkr7SqWNirKEEv3TppRWaVMSadOOFtpJWVqF0r6oaKVSUUpF1uzb/Of7POcwxsw197qXWT7v1+uYM2fOzL33OHPO8z3PcopFogwAAAAAsswWwSMAAAAAZBXCDgAAAICsRNgBAAAAkJUIOwAAAACyEmEHAAAAQFYi7AAAAADISoQdAAAAAFmJsAMAAAAgKxF2AAAAAGQlwg4AAACArETYAQAAAJCVCDsAAAAAshJhBwAAAEBWIuwAAAAAyEqEHQAAAABZibADAAAAICsRdgAAAABkJcIOAAAAgKxE2AEAAACQlQg7AAAAALISYQcAAABAViLsAAAAAMhKhB0AAAAAWYmwkw8rV650U6qWLVsWzKUuvz8DAAAAQGLFIlHBPPLw22+/WdeuXa1t27bWpEmTYOn6Fi1aZC+99JJ99NFH9u+//9o222xjhx56qLVo0cIqVqwYrLW+Tz75xF599VX7+eefrVixYlazZk1r1qyZ1a9fP1gDAAAAQH4QdlKwZMkS69y5sz3xxBPWr18/u+CCC4JX1qVwc9VVV7nQUqFCBatRo4YLSXPmzLEGDRrYfffd55bF0+f26tXL5s6d60LOqlWrbMqUKbb99tvbjTfeaOecc06wJgAAAIBU0YxtAxRArr32WnvjjTds2223tVKlSgWvrEtNz3r06GHDhg2zxo0b2yuvvGIvv/yye1StzjvvvGM333yzC06xxo4da7fddpv7XAWp4cOHu+nee+91n9m9e3f7+OOPg7UBAAAApIqwk4fx48dbhw4d7LnnnrMtt9zSNS9L5ssvv7ShQ4davXr1rE+fPrbvvvtapUqVbJ999rG77rrLjjnmGBeYxo0bF7zDbPny5fb444/bggULXKBSKNpxxx1tp512svPOO8+uvvpqVys0YMAAW716dfAuAAAAAKkg7CSgZmSqbVH4+OCDD6xdu3YurMTXysQaNWqUe71Ro0YusMRSvx31v1FNzZgxYyxsOfj999/b119/7ZqunXLKKW5ZrDPPPNM1e5swYYL9+OOPwVIAAAAAqSDsJKDQokEG1GfmoYcecn1tFGBUE5PMxIkTXe3PfvvtFyxZV+3atW2HHXawL774whYvXuyW/fTTT/bHH3+496gWKJ6WqaZo+vTpLhgBAAAASB1hJ4EtttjC9a8ZOXKktW7d2jVf0zDSyZqxaWCC2bNnu3431apVC5auq0qVKlauXDm37vz5892y33//3dX2KASVKFHCLYulZdttt50LR3///XewFAAAAEAqGI0tRddcc42r5Xn00Uetffv2wVLv119/daFI/WvUJ0d9buIpDJ122mn2zz//2IsvvmgHHHCA3XTTTa4/j/r4aLS3RO6880679dZbXf8dNa3Ly4oVK2zevHlrmskhdQqq2m7ahsi/0qVLu+af3COqYMqUKeP2PW1D5J+2n2re6dtYMGqVsHTpUs4dBaTtl1czdySni8j6/rL98k/f17Jly7oL6cgbYSdFeYUdDRPdpk0bV2Pz3nvvrddnR3QiPvHEE91Q1EOGDLGDDjrIunXr5kZdu/vuu+3SSy8N1lzXww8/7Iaz1tSzZ89gaWL6rF9++cXVIiF/ZsyY4Wr0VMuG/FMt5VZbbeVGLET+6YJJ5cqVbeuttw6WID90DFatuvZB5J/6hKp/aLLRRpGcilDafnvuuac7hyB/dIFM5Za99torWIJU6eLYn3/+6S6a6/yBPCjsYMOuvvrqSJkyZSIDBw4Mlqz1008/RQ488MBIzZo1I9FCc7B0XdGwE2nQoEEkekKJjB8/3i27/vrrI6VLl448+OCD7nki0bDj1okGo2BJcrfddlskWmgKniE/Bg8eHBk+fHjwDPk1YMCAyLhx44JnyK9777038tVXXwXPkF89evSITJs2LXiG/Lrpppsic+fODZ4hv3R+jhbag2fIj0WLFkVuvPHG4BnyS+W+n3/+OXiGZLgMUQiKFy/uqmKj2zNpM4roF9o1U9F64dUfvU/0vmT0vtj35EV9fGhGVDD6P8jr/wEbRhOigtN3nCZsBafjI8e+gtP2owlvwWi/Y/sVnLZbKuUbJKZtx/bbMLZQIShfvryr/tdBT31zEtFytUnVehrlTfQ+FXLUzyYZvU+FcJqmAQAAAPlD2CkECiIVK1Z0/XKSjZo2d+5cN6qa1tN9d0QDGSiRz5w5M2Gtgq70atADdf6mLwkAAACQP4SdQlKnTh03ms2kSZOCJevSPXUUaurWretGbhF1CFWI0T10FixY4JbF0oAH3333nVWtWtX22GOPYCmKgoYW14SC0b5PM46CU60vzbAKTheSaAZYcGouTTPUgtP2oxl0wWi7afsBRYmwU0hOOOEE1wdn1KhR6zVLUyH69ddfd4XB4447bk1fHd1MdJ999rFvvvnG3n33Xbcs1ujRo90oL1pHYQpF55BDDrH69esHz5BfxxxzjNWqVSt4hvzS8WPXXXcNniG/mjRp4u5JhoJp2rSpa1aN/FPrjDPOOMNKliwZLEF+6OJvs2bNgmdA0SDsFJJDDz3UFVg+/vhjd/8cDcWrK40a0rhHjx725ptvWoMGDaxRo0bBO8wNk9q2bVsXfm6//XYbO3asu8Krqxxav3fv3m78eQ11raZsKDp777231axZM3iG/Np3331tl112CZ4hvxS0w758yD8df8Pmwci/I444gmG7C0hh58gjj0x4Y3BsmMo22v+AokTYSZGaSaipTrKmTjpR3HzzzXbwwQfbU089Zaeeeqq1aNHCPT7wwAPuqnf37t1dn51YuiJ08cUXu3DUrl0791xThw4d3A1Iu3TpYieffHKwNgAAAIBUFY8WwLsH88iDmqbpTrWqvalevXqwdF26qZOaqVWoUMHd0VbVs+pvo9qcW265JWFTNF0VUo2P+u9off0M3ViwXr161rlzZzvvvPPciG2p+PDDD6127drcXAoAACDLffDBB64vePyFdKyrWIRedVmjV69e1rx5c5pjAQAAZLmePXtamzZt3AVzJEczNgAAAABZibADAAAAICsRdgAAAABkJcIOAAAAgKxE2AEAAACQlQg7AAAAALISYQcAAABAViLsAAAAAMhKhB0AAAAAWYmwAwAAACArEXYAAAAAZCXCDgAAAICsRNgBAAAAkJUIOwAAAACyEmEHAAAAQFYi7AAAAADISoQdAAAAAFmJsAMAAAAgKxF2AAAAAGQlwk4WKV58iVWsuCp4BgAAAOS2YpGoYB4Z7pprPraZM/e2XXetZBUq+GVbbeUn/S9vvXX0P7yYWenSZuXLm61e7ZeVKOHny5Xzr20RjcBaLprXJHpvOF+8uH8EAADAptezZ09r06aN1ahRI1iCRAg7WaRVK7MXXwye5EFBRQFHSpZcG2C0TPMKNVouW25pVras2apVPggpRGmP0aPW0XsUjBSWFKDKlPHv32Yb/yia1+fq/QpUos/V76EpDGNaps/UZ5Uq5dcXvR7+TlpH6+rzwt8RAAAg1xB2UkPYySJnnbXCRowoHg0LW7hAoEkhJd2FASY27CjoKDiJwo7CjYKV5vV6GJK0TO8ThS29T3+zApomfa7CltbX+xTSFKTCsKZ1w5Cm9bVu+Lmi92k9PYa/AwAAwOZG2EkNYSeLXH/9k7b//sdblSq7rAk6CxaYrVjhH1U7ogL//Pl+/SVLzBYt8oX4efP8a1p38WK/rt6/cKGf17rLlvn3aZksXeonvV/vCz9Lj3qeKXuWfmeFmXBSuFFtlX5/BZ8wACkkaXlYu6VwpJCk17RctVaa9JqWaz4McJrX+qLXFMo0hUENAAAgPwg7qSHsZJE77+xhbdu2sp122jNYsvEUgBR2FHQUYCQMQ8uX+ykMRgpECg561HO9V2FIFJC0XGFCj//9598Xhix9vgKZ3q8wtnKln/S61tM6mhf9fAUq0c8P92DNaz09D4OZPiP8vcPHTUW1QAo0+psVasJgo9CkSSFIQUnrVKzoX9M6mldtk15X0NIkWldT7Dr6HG0f/YzwM7UNw5+heQAAkH0IO6kh7GSRXr16WfPmza1mzZrBkuwV7rUKSAo0KtQrQCnQKPCENVkKRWHg0jJR2NJyBQStr+WaFND0Gfo8PWrSZ4Xr6D16TcFNy/S6gtfmor9ZtUz6OxWYNK8aJAUezSsMKXCFwSn2uV7X+8Plel/4Wrhe7DI9hs0KAQDA5kfYSQ1hJ4vkUtjZFBRs9O1Q4FFgUs2RAlH4qNojTXp97ly/vmqfNGlek5aHNVV6VEjSMq2jz9Dnhp8fzmtSINNnax29t6gp+Cj8hc3rwvnwUa/rUbVMCj6aVLuk5nuaD2ugFJ60LPZRyxWU9BnhY+xnxy4DAACpIeykhrCTRQg7mUfBSWFGtUaqPdK8Ao5qjzTpeeyjapP0GDYlDGulwiZ84fOw5knvi18nbBa4KYUBKawtCh/Vj0m1TOEyBaAwRIW1TJpX0z2Fou239+tpud6n1xSU9DdpAgAgVxB2UkPYySKEHSjQKOgozMQ+arkCkoJSGJJUw6TaIx0BVNMU1jyFYSlcR+9TrZPep0c91+eJ5lULpVCl1/RYlEFKfZZUW6RaID2GwUfPw35MVar42iT1WVIY2mEHvzzs7xQ7KUCFjwAAZBLCTmoIO1mEsIOipmCjwBSGHdVIhX2ZFHz0GK6j5apdUkjScwUqraPnClaa9DlaR+Fqzhw/6TN0VAqDW2EeoRRsVJukKRzwIXyuqXJlH3w0H9YuqTZJ4SmsjapWza+jedVEhY/ULAEANiXCTmoIO1mEsINMohogTWq2p0eFHIWbsI/TzJm+dkm1T3/95edVe6Tg9PffaweaUIDSpPfptTB46bXCojCjmiQFmrCfkcJQ2JROj7FTpUpm223nw5Teq2UKTprXawpTYe0UfZUAAAVB2EkNYSeLEHaQixSGFIJUQ6SAo/CkIKTwo+dheJoxY22tk8KS1tdr4aSgpSmsUdK6hSXsk6T+RWpupxqmMOzouUKRao/C2iTVMCksKRxpmZrmadL6eq8eaXoHALmNsJMawk4WIewA+RPWLmlS+FHtkSYFItUsKSwpTGmZApKea1IY0usKVnpNfZvC1/Q5hU1hSbVBqiFSs7qweZ0C1M47+0Ckeb2u8KSgpEe9RzVJAIDsQ9hJDWEnixB2gE1HNUAKSWEzurCGSZP6Hul52FdJNUdqiqfXFIi07M8//TqxU/h5G1OrpIEZFHoUflR7FNYUKfxosIbYMKTzowKR3hMO4KD1VXMEAEhvhJ3UEHayCGEHyCxhzZBCkWqE9FxBSeFIyzTpdS1TQPr3X//a7Nl++R9/FE5zOwUchR/VAikQhX2MdtzR1xppuZrZKTTp+bbbmlWt6pvlAQA2D8JOagg7WYSwA2Q/1QAp4IQj2YXhSJMC0W+/rb2ZrcKQapIUmsLHjak5CvsaqRZINUd6rvCjgKRmdWpSp+XqX6SgpH5FCk56VHjSI32NAKBwEHZSQ9jJIoQdAPHUNC5sSqdHBR4FJPVB0nMN3qB51RqpaV34etgnSaGqoNQcTrVBCkDhKHRqQqdJIUghaaedfDDSMj3XoAxqVgcAyBthJzWEnSxC2AGwMVTjEwYcNZNTQFIQCh9VkzR9uh/ZTv2PtJ4Ck2qS9Bguyw8N5x3WGCkYKQQpAKmWaJdd/KQmdApKaj6ndfRIEzoAuY6wkxrCThYh7ADYlMJao9iwo8dZs9YNSv/84x+nTfOPGs1O66pJXqo0Ip1CTjipqZxqixSMdt3V1wzphq9qTqeaITWX4x5GALIZYSc1hJ0sQtgBkK7ia4zUTE5hSAFII9VpUs2RwpKWh4EpPxRwVEukMKQQpEk1Qaol0jKFI4UhBSX1NdKgDACQqQg7qSHsZBHCDoBMp4EUwkEX1I9II88p+Gjghd9/989/+cUHp/C+RvlpOqeQEzaLC0efUxiKrRnabTcfnNSkThMApCPCTmoIO1mEsAMgF6j5m0KOaoc0qIKaySkYKQxpuWqG1K9IwUivqclcfmhABY0ep+ZxOpyqdkjzCkMKQqoR0iMAbE6EndQQdrIIYQcA/Ahzai6nYbYVflQzpH5Fqh0Ka4g00IIGZFDtUDhUt5rabYhqhTT0tprCqUZor738o8KQyhuqOQonBlEAUJQIO6kh7GQRwg4ApE41ROojpP5CqgFSbVBYW6RJz3/6KfUgpEEUNIy2msLpUYdiNZVTjZBGldt9d7+cobUBFAbCTmoIO1mEsAMAhUMjzalmSEFHzeEUflQrNHmy2a+/+tqi8H5EqQykoJHhVNujgRKqVvXhZ++9fXM4BSA1jVNtkV4HgFQQdlJD2MkihJ2NpNIN7U4ApECDIijwqPZHk5rFqZbohx98GFJNkV5XYNpQrZAOOwo6GiwhrAVSINJocrVq+VCkpnNFViOkX1B3cwWQUQg7qSHsZBHCTgGoVDJ8uNk33/iG+7rMetxxZqeeGqwAAPmj5nEKQ6r1mTrVjx6n+UmT/EAKCkY63GjZhmhUOI0UpyZwBxzg+wWFNUNapj5EBaKbHb38stm77/pOTOp4dPzxZqec4oeqA5D2CDupIexkEcJOPn3wgVnHjmY//hgsCOiW7ldeadajh79pBwAUElUgq4+QBlBQ7Y9yhprHKQDp2ov6CGnQhA31E1LI0aAI4VDZGihhv/3M9tjDZxWNJleyZLByPP2giy4yGzMmWBDjiCPMHn7YfxiAtEbYSQ1hJ4sQdvLh++/NTj7ZlzBEJQa1GZkyxZdCpHdvs+uu8/MAsAksXG725wyzn6OHou++8zVDGko7DELL/gtWTKJ0NOSo5kengTp1fE2QmscpEO0ZfV5+1VKzU041GzvWv6HqdtHUFF1pys9m/872yw4+2GzUKO66CqQ5wk5qCDtZhLCTD+edZzZwoL/02bmz2fXX+7Ynb71lduONvhG+egq/+aZvNK/LsQBQ2IoFk+hR3QbVfSa2Via4p5BqgjRQwrRpZt9Gg9DXX0eXR5fNm2+2aImZTuY6UqlCaKXeFygf/Vz1Cdq+WjE7Z/UzdvHXl7jlM2sfY9b7TqtYf7foj/vX7NorzZ6Lhhx5/HGz//3PzwNIS4Sd1BB2sghhJ0XqNXzIIf6S6ZFH+uZszz1n9tJLZgsX+loftTORPff0QyXpxh0AsKkpACn8lAgmPQ8TTXRaMNvsj2gA0shwEuYm0ck9DEArotPyaJKqaT9HJ398m1y8tkWq7Wyf73Oevbt/S9v/v5/s3AcPsa0j88zObWc2aFB0rdhPBJBOCDupIexkEcJOitRH55hj/GXSSy81u+8+swoV/B0GASDHvG0H233WycZa4+jUzI60D2xy5SOtX/MxttcBZazePn6QBA2KwD2CgPRB2EkNYSeLEHZSpFuqa1ijn382a9TI7I47/ChE6hGsEYk0QIF6DYsav6vBO83YAGQ6HdvURFcXeqR6dT829syZ9mXJQ+wSe9QGrzjTathUe9rOsHPtxehKfkhqHQo1BHbt2n5ghAMPNNsnGoLUrYdRq4HNg7CTGsJOFiHs5EP04GAvvODP0iedZPbRR/4mGQ0a+DFh1RheN7ZQJ10FI74mALLByJFmZ5/t5zUQgY53U6bYgqp7279bVLHd/vjAvdSn+iN259KLbc7f7ul6dJNUXQdSGUsDIdSv7wdF0H2CFIa4ZRlQ9Ag7qSHsZBHCTj4ozDRs6E/0yWj46XvuCZ4AQBZQTU7btmYjRgQLEjimgf375EibsayCTYoeKlUJrq6MX33lB0hQ5XgiauKmGiDd/6duXbODDjI76ihf+1OuXLASgEJD2EkNYSeLEHbyacgQsxtu8Hf8i6VLkioM6F4TulkFAGSTH34w69LF11zHU5Pe++/37dXiqKWvWvjq7Z9+6g+df/xh9u23/iaqiWgUOPX1UejZd19f+3PooWYlNNgCgI1C2EkNYSeLEHYKQPfZeewx329Hd/DT5ci+fX1zNtphAMhWSiePPOLvJ6Y+PBpq/4or/KS7kqZIo8BpKGxVlmtSCNJglro3UKIApNbBylE6TR1+uNn++/vR/StVClYAkDLCTmoIO1mEsFNAukyp3ra6bbnuuaOrmgCQC5Q4PvnEHwPff99syy2DFwru33/NJkzwN0X95hsfgtQELhFdU1KfH11nCoOPuhKpRghA3gg7qeHSNbB0aTATxahrAHKFql7C6516jD0WbgRVEp1wgu/2qFv1vP22HwPmmWfM2rXzuUq3LxMdctUM7vnnza65xuz0033+atzYrFs3s48/9tejAKCgCDtAbOUmFZ0AckX88a6Ijn9qoqYAo0HgnnrK7PPPzd55x+yJJ3zA0Vgxuo+PqDWxBkR44w21VjA74gj/3qZNzR54wIemvMaVAYB4hB0AALBJ6Z49551n1qePDzYKQIMH+/Bz7LF+RLeQwo1GzL78cl9jpGZuqiF66SXfXG7FimBFAEiAsAMAADabMmX8iG2tWvnwo2Zv48b5gHPbbWZNmqwdwEAjZ6vmR03iWrTwY8mceKLZzTebjRljNmsWFfQA1kXYQdqYpiF9AAA5b+edzU47zeymm3zo+eILH3BUG3TMMf6ePqJ7/igY9ehhdsopfqCD5s39umrypuGyAeQ2wg7ShkYT6dChA6EHALCGRmzTYFPq86N+PqNHm737rtlDD/naHb1WsqTZypV+FO1hw3wzt0aNfDC66CKzl1/2o8QByD2EHaSVQYMGEXoAAEmpVueww8w6dTJ78UVf6/PKK2Zdu/ranQoV/HpLlvhhr/v397U9GuhAwUcjv+leQAByA2EHaYnQAwBIhfrznHSSH71NTd502yDdK/r8880OOMDfyFSmTPHBp21bP8qbBjvQbdV0PyDVCgHIToSdHNe9e3crVqxYWkyJhKFHvycAAHkpUcKsdm0fdBR4FHw02ptqfTSYQfHifr2pU/2ABldc4WuJNLT1nXf6WiIA2YWwk+MUIiKRSFpMiVSvXt0GDhxI2AEA5JuavKnfjmp9Xn/d7P33/WAGCjgVK/p1Fi70rykQHX+82dFHm919t9nEiWaLFvl1AGQuwg7SUhhypk6dau3btw+WAgBQMGrOpn47N95o9uGHvmbnkUd8s7aqVf06Gr3tgw/8/X7U1E3N43r2NPvqK3/DUwCZh7CDtELIAQAUNY3wVr++2cUXmz37rNmXX5o99ZRZmzZme+3l19EABwpFCkdHHml28slmffuaffutfx1AZiDsIG0QcgAAm8MOO/jhqp97zt/UdMgQ3+9nxx3962rOppqgLl3MjjvO7H//M3vhBbN58/zrANIXYQdpg5ADANjcqlUza9nSD3CgAQuefNI3datSxb8+a5ZfplqgQw81u/JKs1df5QamQLoi7AAAACSgvjwdOvimbmPHmt13n9nBB68dzvrHH/2y007zTd2uu84PZQ0gfRB2AAAANmDfff1Q1RrRTcNZX3utr9kJKeT06WPWsKFZ69Y+IM2dG7wIYLMh7AAAAKSodGk/nLXuy/PWW76Pj0LQfvv51//912zwYLNzzvFDWd9+ux/NDcDmQdgBAAAogAoVzI491jdl+/hjDbRj1qyZWdmy/vUJE8xuusnf10cDILz0ktmCBf41AJsGYQcAAGAjqR+PxtkZOtRs/Hizyy4zq13bv7Z0qdkzz5i1aGF24IH+3j3ff+9fA1C0CDsAAACFpHhxH3IeeMDsnXd8bY7u0VOqlH99yhR/7x717VEtkEZyW77cvwag8BF2AAAAisD225udeaYPNOrf07Xr2toeDWE9YoRZ06ZmJ55oNny42X//+dcAFB7CDgAAQBFSbU+DBma9evkhrB96yOyQQ/zy1avN3n3X7IwzzE46yaxfP0ZxAwoTYQcAAGAT2XFHs06dzMaM8bU5GrigZEn/mgY5uPhis6OO8k3dvv3WLwdQcIQdAACATax8ebNTTzV76imzTz7xw1dvt51/TYMXaBCD444z69jR7Jtv/HIA+UfYAQAA2Izq1/fDV2tAg0svNata1S9Xv57HHzc78kizCy80++ILvxxA6gg7AAAAaaBOHbMHHzQbN87srrv8/XlEAxcMGOBvUnrBBdT0APlB2AEAAEgje+5pdvXVZu+9ZzZkiB/cQObPN3vsMd+n56KLzCZO9MsBJEfYAQAASEMauKBlS7NRo8wGD/bN2WTBArP+/f29ehR6JkzwywGsj7ADAACQxkqXNmvVyuztt82GDjU75hi/XDU9Cj0ayEChh+ZtwPoIOwAAABmgVCmz5s39vXpU06OaHZk3z4ceNXfr0sXsl1/8cgCEHQAAgIxSooSv6XnjDbMXX1zbvE03I+3b1w9prQENlizxy4FcRtgBAADIQGXKmLVo4Yes1uht1av75ZMn+6GqFXrU7C0S8cuBXETYAQAAyGAayECjt40ebXbZZWZVqvjl6uOjAQ5OOcU3fQNyEWEHAAAgC9SsafbAAz7YnH++r/kRjeZ20klm3bqZ/f23XwbkCsIOAABAFtl3X38/nnffNWvc2C9btcqsVy+zww83u/9+s9Wr/XIg2xF2AAAAstAhh5gNH272xBNmtWv7ZVOnml1xhR/g4LPP/DIgmxF2AAAAspT685x3ntm4cWbXXGNWoYJf/tJLZscf75u2zZzplwHZiLADAACQ5bbbzqxPH7PXXjM7/XS/bOFC37RN/Xmee45R25CdCDsAAAA54qijzEaM8E3bdt3VL5s40ezss/2gBmrmBmQTwg4AAECOUdM23Z/n2mvNSpf2y5580uyYY8xeeME/B7IBYQcAACAH7bab2Z13mr34otnBB/tl06ebtWtn1qaN2bRpfhmQyQg7AAAAOey00/y9eVTLs+WWZitX+todDVv99NPBSkCGIuwAAADkuPLlfS3Pm2+aHXSQXzZpktm555pddJHZjBl+GZBpCDsAAABw1GfnlVf8kNSq5ZH+/c3atvUDGQCZhrADAACANXbYwaxnT9+Xp25dv+zdd80aNTJ76CH/HMgUhB0AAACsp0kTs8GD/aPMnm122WV+8ILff/fLgHRH2AEAAEBCtWubDR/ubz66zTZ+mQYvOOMMs7fe8s+BdEbYSSMrV66033//3U2rVq0KlgIAAGw+JUqYde1qNmqU2RFH+GVffml25plm/fr550C6IuwUoj///NOuvfZau/jii61Tp07rTeedd569/PLLwdprLVu2zB5//HFr0qSJm0499VQ3Pf3007Z8+fJgLQAAgM3nkEPMXn/d7MILfQBatMiiZR6z8883W7AgWAlIM4SdQjRp0iQbOnSoDR8+3F599VV75ZVX1pmGDRtm33//fbC2p6Bz44032nXXXedqdA4++GCrV6+e/fjjj3bllVfabbfdZitWrAjWBgAA2Hy23trX5vTta1aqlF/2xBO+X8/nn/vnQDoh7BSiX375xebPn29NmzZ1tTJPPfXUOtOLL75orVu3Dtb2XnjhBRs4cKALOEOGDLH+/ftHDxpP2HPPPWd77rmnDRgwwEaMGBGsDQAAsPl16mTR8olZjRr++QcfmLVsaTZ6tH8OpAvCTiGaOnWqLV682Bo1amQNGjSwY489dp3phBNOsJo1awZrq8p3gQ0ePNiKFy9uXbt2tbp167r5EiVK2KGHHmo33HCDW+/ZZ5+1pUuXunkAAIB0cPLJZm+8Yda0qX8+bZpZs2a+1gdIF4SdQqKQo7Cz3Xbb2c477xwszdvXX39tP/zwg+2zzz6u+Vq8I4880vbee2+3zjfffBMsBQAASA/RYoo995zZddeZFS+u8pBZly5mV11l9t9/wUrAZkTYKST//vuv/fzzz7bHHnu42puFCxe6Pji//fabzZs3L1hrXb/++qvNnDnTatWqZRUqVAiWrlW+fHlX26OBD6ZMmRIsBQAASB9bbWV2xx1mffqYbbmlX3bvvWYdO6p85J8Dmwthp5AotPz1118uoKhp2hlnnGFHHXWUm1q2bGkPPvjgeqHnjz/+sEgkYttvv70VK1YsWLrWFltsYdtss40bkvqff/4Jlianz9hKRxwAAIBNKFpksSuvNHv1VbOddvLLhgzxAxd8+61/jsKlbg8qRyJvhJ1CotHT1N/m2+g3+p577nE730EHHeSaqE2ePNluuukmu/zyy23OnDnBO8yWLFni1qtYsWKwZH2VK1d2ISb2fckoFL3zzjv2/vvvr5nGjRvnmssBAAAUteOOMxs61Gz//f3zzz7zAxcwUlvB6YJ3fPnuvffecy1/SoVD4iEpwk4h+emnn9ww0tWqVbOHH37YRo0aZS+99JIbSe2BBx5wzdtGjhxp999/f/AOs9WrVwdzyZUuXdoFolSSuz5Pzd0UrsLpu+++s2nqMQgAALAJHHqoRcs8Zo0b++c//GB2xhkWLaT758gftQzSxfTY8p1ud6IRgHWhHXkj7BSSs846yw0T3a9fPzvxxBPX7HxK3M2aNXP3zFG/HN2DR0m8KOhnXXrppXbhhReumS677DI7/fTTgzUAAACKnsZqeuops1at/PM//jA75RSz55/3z5G6vfbay7UOii3f6Qb2aj2kVkLIG2GnkGiQAYWaOnXqBEvW1aRJE9t1111dc7SJEye6ZWprKatWrXKPiSjNq+9OyZIlgyXJqfZHKR8AAGBzq1zZ7Jln/MhssmiRWYcOZo895p9j4yxfvjxhn2+si7CziahWp2zZsq5fzezZs90y9ccRjeSWjMKLmqftsMMOwRIAAIDMoGu1d99t1qOHfx4tn9sll5g9+qh/DhQ1wk4hWLFihX3xxReu85jut5OIAouCjmpzNMKa6H486pOjjmeJaneU2MMR3gg7AAAgU91449rAEy0O2WWX+RAEFDXCTiFQUzO1pWzXrp19+OGHwdJ1qSPZ33//beXKlVvT1E3341HgUbO2sLYn1qxZs9xIajvttJPVrl07WJq9GEgBAIDspcDzyCNm222nJvxm119P4EHRI+wUgipVqrhOYgo9zz///Hq1NHquwQt0g9FGjRq5kdlEAebAAw90I6jp3jzxnnvuOfeeQw45xAWjbFejRg3r0KEDoQcAgCx18cVm/fubbb+9r+Hp2tXsrruCF4EiQNgpJJdccokLMa+99pqr5fnss8/cTUM//vhj69y5sz3zzDOuRueKK64I3mFuxLaOHTvatttu6+7No2GpFXx++OGH6Bf/LjdktWp+NOpGrnRAGzRoEKEHAIAs1rSp77OjwKPrw926UcODokPYKST77befCyx169Z1BfbmzZu7IahbtGjhgs5hhx3mwsvuu+8evMM74ogjrGfPnm4AgxtuuMEaN27sRm679dZbXY1Rr169bP/wzlw5hNADAED2atbMBx41aVMNz3XXmd13X/AiUIiKRVK5WyVSpgEF1G9nkcZXDGy99dbWoEEDq1ixYrBkferTM2HCBDeIgWioaTVx09jqqVIwUsjKT5O37t27u2CV7m655Rb3uxYJDQV+1FF+TMxOncweeih4AQCy2LJlFj05mX36qVn9+majR5tVqhS8CGwaw4f70dn+/tusTBmzBx80O//84EXkSRfL27Rp4y4OIznCThYpSNhJJ4ma6lWvXt0Fnfbt2wdLigBhB0AuIuwgTQwdataundnSpboHoa/xIfBsGGEnNTRjQ1pSyBk4cKBNnTq1aIMOAADYrFq0MLvzzmihNFoqDYelfvHF4EVgIxF2kFYIOQAA5J7Onc1uu83Pq4bnoovM3nvPPwc2BmEHaYOQAwBA7rrhhrWBZ+5csw4dzCZM8M+BgiLsIG0QcgAAyG033WR29dV+fupUs/PO003H/XOgIAg7AAAASBt9+pidcYaf//prfyPSBQv8cyC/CDsAAABIGxqcVSOyHXecfz5qlB8sFSgIwg4AAADSim42ev/9ZuGoys8+a9atm58H8oOwAwAAgLRTp47Z00+bVavmn/fqZfbww34eSBVhBwAAAGnpyCPN+vUzK1PGP+/Rw+zDD/08kArCDgAAANJWkyZmt9zi5//5x9+D5++//XNgQwg7AAAASGuXXWbWqpWf//57s0suMZs3zz8H8kLYAQAAQForW9ZswACzQw7xz4cPN+vd288DeSHsAAAAIO1VqGD2+ONmu+zin99zj9mrr/p5IBnCDgAAADLCPvv4Udlk5Urff+enn/xzIBHCDgAAADJGmzZrbzI6Y4bZNdeYrVjhnwPxCDsAAADIKOqvc+yxfv6VV8x69vTzQDzCDgAAADJKuXJmffuaVa7sn995p9k77/h5IBZhBwAAABmnbl2zu+4yK17cbOlSs86d/X14gFiEHQAAAGSkDh3M2rb187r/jmp4gFiEHQAAAGSsPn3Matf2848+6vvwACHCDgAAADLW9tub3X67WcmSvjnbDTeY/fZb8CJyHmEHAAAAGa1Zs7XDUX/3ndltt/l5gLADAACAjHf11Wb77uvnBw82GzPGzyO3EXYAAACQ8apVM+vWLVq4jZZuFy82u/Zas3nzgheRswg7AAAAyAotWpi1bOnnv/rKrF8/P4/cRdgBAABAVlCtzi23mFWp4p/37Gn2xRd+HrmJsAMAAICssffeZt27mxUrZrZwoR+sYPXq4EXkHMIOAAAAsopuNnr88X7+zTf9hNxE2AEAAEBW2XJLs5tuMttqK7OVK33Ttn//DV5ETiHsAAAAIOscdZRZu3Z+/ssvzR54wM8jtxB2AAAAkJW6djXbfXc///jjZtOn+3nkDsIOAAAAstKuu5p16eLn//rL7MEH/TxyB2EHAAAAWevcc83228/P6747n3/u55EbCDsAAADIWuXKmXXu7Of/+8/s/vsZijqXEHYAAACQ1dq2NTvoID8/fLjZmDF+HtmPsAMAAICsVrq0H35aQ1IvXmzWu7fZ8uXBi8hqhB0AAABkvcaN/XDU8t573Gg0VxB2AAAAkBOuvNI/RiL+vjsrVvjnyF6EHQAAAOSE444zO/10P//OO9Tu5ALCDgAAAHJCiRJml11mVqqUf07tTvYj7AAAACBnHHOMWcOGfv6jj8w++MDPIzsRdgAAAJAzwtodWbrU32gU2YuwAwAAgJyiUdkOPdTPv/WWr+FBdiLsAAAAIKdUqGDWqZOfX7DA7IUX/DyyD2EHAAAAOadFC7Patf380KFmU6f6eWQXwg4AAAByTunSZhdf7OdnzjR78UU/j+xC2AEAAEBOat7cbJdd/PyAAT70ILsQdgAAAJCTdtjB7MQT/fyvv5qNHu3nkT0IOwAAAMhZl1669iajw4aZrVzp55EdCDsAAADIWfvss7Z255VXzD7/3M8jOxB2kDamTZsWzAEAAGwaW0RLw23bmhUvbrZqldnLLwcvICsQdpA2atSoYR06dCD0AACATapRI5VD/PyoUWbz5vl5ZD7CDtLKoEGDCD0AAGCTqlTJrGlTP//99745G7IDYQdpidADAAA2JQ1DHdJABatXB0+Q0Qg7Oa579+5WrFixtJgSCUOPfk8AAICist9+Zqec4ufff199if08MhthJ8cpREQikbSYEqlevboNHDiQsAMAAIpUmTJmZ5zh5+fOpSlbtiDsIC2FIWfq1KnWvn37YCkAAEDROfpos8qV/bxuMEpTtsxH2EFaIeQAAIDNpWZNswYN/Px775lNmODnkbkIO0gbhBwAALC5hU3ZFi82Gz/ezyNzEXaQNgg5AABgczviCLOqVf3888+brVzp55GZCDsAAABAYNddfd8d+fZbs19/9fPITIQdAAAAIMYJJ5jprhgLFpgNGRIsREYi7AAAAAAxFHaqVPHz6rfDqGyZi7ADAAAAxKhWzeyQQ/y8wg5N2TIXYQcAAACI07Spf5w502zsWD+PzEPYAQAAAOIcdphZxYp+/t13/SMyD2EHAAAAiFO9ulmtWn7+++/NVqzw88gshB0AAAAgzpZbmh1wgJ+fMsXsww/9PDILYQcAAABIoEEDPwT1smVmo0YFC5FRCDsAAABAAuq3U768n1dTtkjEzyNzEHYAAACABHbYweygg/z855+bTZ3q55E5CDsAAABAAltES8qNG/t5DUE9aZKfR+Yg7AAAAABJ1K4dzER9+WUwg4xB2AEAAACS2H13s5128vNjxvhHZA7CDgAAAJDEHnusrd354w+z2bP9PDIDYQcAAADIQ506/nHWLD8qGzIHYQcAAADIw5FH+sfFixmkINMQdgAAAIA87LPP2vvtfPop99vJJIQdAAAAIA877mi2665+fvx4+u1kEsIOAAAAkIettjLbay8/P22a2cKFfh7pj7ADAAAA5KF4cbP99/fzS5aY/fSTn0f6I+wAAAAAG1CrVjAT9dlnwQzSHmEHAAAA2IBddjHbZhs/r/vtIDMQdgAAAIANUM1OtWp+fvJks2XL/DzSW9qGnenTp9tXX31ln3/+uX300Uf2wQcf2KeffmoTJ060X375JVgLAAAAKHply5rVqOHn//zTbO5cP4/0llZhZ/bs2da/f3+76qqr7Oyzz7ZmzZpZ06ZNrWXLlnbWWWfZmWee6Z5r/pJLLrF77rnHpkyZErwbAAAAueDdd9+1hg0bWocOHdzF8UT+/vtv9/rJJ5/sLpgXhjp1/OOMGWY//ODnkd7SIux8//33duONN9oJJ5xgN9xwgz3yyCP23Xff2erVq61cuXK2zTbbuKl8+fK2xRZb2LRp0+ypp56yHj162GmnnWaXXXaZfUZPMQAAgJxQpkwZF3gGDRrkAk0iXbp0ca9rPZUjC8POO/vHpUvN5s3z80hvmzXszJ0713r16mVNmjSxBx54wJYtW2aHH3643Xvvvfbcc8+5QBM7aYfV47PPPmv9+vWzRo0aWalSpdy6Cj0XX3xxNGUTswEAALLZoYceahdddJGbV81O37593Xxo1KhRNnjwYDd/3XXX2d577+3mN1bsx/z2WzCDtFYsEhXMb1Ljxo2zm266yb755hs76qij7KSTTnLN1CpXrmylS5cO1srbihUrXNO3V1991d555x174403bIcddrDLL7/cOnbsaCVLlgzWzA0Kjs2bN7eaNWsGS5CSiRMtuhOaLVpk1qmT2UMPBS8AQBZT7+oGDczUvKd+fbPRo80qVQpeBNLfvHnzrFatWq65mmp6pk6d6sqBS5cudcvVEkghR/299XphUO+JevXMFi+2aFnTrH//aGG6WPDiJtazZ09r06aN1Qg7EiGhzVKzo4Cj/xw1SRs4cKANGTLENUWrWrVqykFHFGa0UyvYPPPMMy707LffftatWzcbMGBAsBYAAACyjZqm3XfffW5eAUfN1qR3794u6Mijjz5aaEFHypc323FHP6/hp1et8vNIX5sl7CikdO3a1d58801Xm6N+ORurRIkSdvTRR9uLL77oduyKFSsGrwAAACAbadAqtQ4SNVtTN4c777zTPW/fvr01UO1lIVLxMqxI0eDAahSC9LZZwo6qFtXUrKzG8CsCrVu3djVHAAAAyG6xtTfqv61aHrX8UfP+wqYGSFWr+nkNPb1kiZ9H+kqL0dgAAACAgqhevbobhCCWnivwFIXYsDN9up9H+krrsDNjxgw3BPXkyZMTThqy+ueff7bNNMYCAAAA0sBbb70VzHkjR44M5gpf2GdH/XVmzfLzSF9pF3a+/fZbu/rqq+3CCy+0c88919q2bZt0atGihV155ZXufjwAAADIPRp2OrxpaD0NlRYV3oMnGd3AvlixYmsm9R+flWJyCWt2dK2d4afTX1qFHY2Tft5559ljjz1mzz//vH355Zf2119/2R9//JFwmj59uhtuEAAAALlH5cDrr7/ezTdt2tQ++eSTNc3XtDy+nKj+PLvuuqv179/fZs6c6VoH6VYmxx57rO200042fvz4YM3kNEJ7qVJ+nmZs6S9tws6qVavcKBq6Kegee+zhhg0cOnSoCz26aWii6aWXXnJDDmoIawAAAOSWDh06uACjAQpUJgwfJTYIhVSu1HLdn7FKlSpumUb0vf/++93AWakMaqAspSGoZd48/4j0lTYpIdzxykf3Ht1stFOnTnbcccfZ8ccfb40aNUo4nXjiiXbEEUe46kcAAADkDl0kHzVqlJu/5ZZb3EAFEjsctZqyqUmbrFy50kaMGGH77LOPm2LtvPPOduSRR9qYMWM22JxNNTtbbeXnFyzwj0hfaRN2VIU4Z84c23fffV2IAQAAABKZN2/empuI7r333nbFFVe4+VBYyyPhcNTq/vDhhx/aLrvsEg0rQVoJqHanZs2arjw6derUYGliuj1kdHVHreQYJyu9pU3YqVy5stWtW9eNwJZqBzEAAADkntj+OLHBJhQbgNRFQjcbLSwKO+G96xcuNFu2zM8jPaVN2FHzNVU7aodUXxwAAAAgEY3aO27cODcgQdhkLZ6atmkdTbHr7LfffsFcwYUjsv33n9n8+X4e6SmtevY3a9bMJXWNxnbvvfe6Wh5VO+Y1LSNOAwAA5BQNMd2gQQM79NBDgyXrU22P1tGkmp7Q119/HcwV3Dbb+EfV7NBvJ72lVdgpVaqUtWnTxg0ZqNHYNIRgOBBBokk7b/v27d1IbgCAzKeOxGqLDwCbQ8mSJa1GjRrBs+S2394/Llmi4az9PNJTWoWd7777zi644AL76aef3Ahr6iCmZm2TJk1KOGn9n3/+OXg3AKSnadOmBXPIi4aQbdiwoe0Y3p4cAAqRji3qNvH777/b4sWLg6WeRmqbMmWK7bXXXm4I6g0pXtw/Llpk0c/y80hPaRN2tJM99dRTNnHiRKtatap17NjRNWnTMNQ33nhjwunWW291Q1Qz9DSwLt2gt3v37ta6dWurVauWbbnllq4QqRFpwrtMo+gp5Oj4pKuEKsgjNWqiDACFTc3amjdv7i6Wa4oVjtR26qmnrjdSWyJhMzb1plDgQRqLpIk///wzcvDBB0eiQSfy/PPPB0tzx+rVqyNTpkyJvPXWW276+eefg1dSd8cdd0R++umn4BlSNmFCJFK2rEaOjEQ6dQoWZqYlS5ZELrroIg2Cmed00kknRebOnRu8K/1MnDgxMnXq1OBZ5nrzzTfX2ebpKJ22dfv27ddsL2wCS5dGIoce6o999etHIrNnBy8A2evXX3+NVKxYMXLAAQdEFi1a5Jbp3LnLLruss2xDHnnEf3U0vfFGsHATu/32293fg7ylTc3O8uXLLVr4stq1a9tpp50WLM0NuprQuXNn1w9JfZA0af7qq6+2aAgM1gLypiafhx122JrhNbfZZhs3+oxGo9EUDUFrbrimm7DF31U6Xai/3v777+9qQ8JhRTOV+hWq76Eezz333GBp+simbQ0AqdDxTgNg/fvvv665mmrf1fohGnTsyy+/TKlWR0qVCmaiokVYpLG0CTuVKlWyPffc02bOnJlT99nR36qg8/TTT7u7+d5www127bXXui9j//797aqrrnIhMBfQr2HjqMmamq+JCtjq8/bmm2+65myaHn30UbdMjwpC6dpUKPb3yvTmTGoyMXz4cDfsqYbWTzfZtK0BIFU6Nv/222+qQl4z6VidHxUqBDNRDAyc3tIm7FSI7jVnnHGG/fjjj/bKK68ES7PfgAED7O2333bDbivwqA+SboL17LPP2sknn+wKq+rLlAvCfg2EnvwbMWLEmqCjQrUO2go0iaiGZ/Lkya62BwAA5F/JksFMFF3H01sxtWUL5tNCly5d7LXXXnOPRxxxhNWpU8dKlCgRvJpd/vrrL2vRooVrxjZy5Eg3ZnwsVacqBO2+++42bNgwqxjerjeJXr16uY53NWvWDJZkltiBJtSUT4XxsNlVkZo40eyoo3wPw2jYtIceCl7IDLoir6ZIasamq1WqvdHw7RtDn6UpDFD6PN2jQPcz0M9IZtCgQe73UeAKw5YGRNBwwloefkai/1f9LA05rHCvz5EXXnhhnb8l0c/X5+rz4wdeUBO+vO6/kOh31edoEv1c7YfxP2/w4MFu24i+s/oZeW1vra8Ar58T/3dvzPaKld9tUNBtHdLP0jYIm75pXf2uqXxf9XP188PtHLsNdbEj/H3yc2oqrH1A71cTz3/++cfddFAXBhIp6N9f0N+zyOhydIMG2unM6tc3Gz1azSyCF4GipdF0NSjVwoULXcsefQeKh0OcZYBosczOPNPP9+9vdsEFfn5T6tmzp7tliy4WIw8KO+nijTfeiJx//vmR3XbbLbLjjjtGokEn0q5dO9fh+oILLlhvip4YIzfccENk1apVwSdkluhJNbL99ttHTj/99IQd4rTslFNOcZ3m3n777WBpcpk+QIF2x/hJHZaLvPN0hg9QMHz48DXbK1poC5YWjAYtiBa81nxe/BQt0EU++eSTYO116f8pXG/cuHFuPa0f+35N0UKlez1etKC43rrxU/z7ogE/Ei0kJ1xXU/TkGZk8eXKw9lqJftdEn6PfKdz/9Dn6vETrJPoZEvtzouE9WOpt7PYKFWQbFGRby19//ZVwG2iKBqPIfffdF6yZmD5Tf0/8e8O/Ud/3cFmqCmsfGDhw4Drv0xT+34c25u8v6O9ZpBigAJvJPffcE9lpp53W7P/FihWLRAvtkX/++SdYI2/x382ilOxnjR7tvzqaNFjB5sAABalJ/YyyCVx99dVup69WrZoblW277baLVKhQIVKuXLmEU/HixSP77rtvZOXKlcEnZJZ+/fq5E2SXLl2CJevTa1pHJ+INKUjYUQEsPNik8xRfUCxUGR52VMAKt5OCT0GpoBVbGFPBW4VPXWyIL+C98MILwbvWii08du3a1e23mtfnNGjQIFKvXr01r+s1FRxjXXHFFW692IK4fq6WhVPsexQOwvX0e+t31X6inx3/GfE29LvGvl+/t0YsCwvpek3rxAYT/XyN5hMv9ufkFXYKsr2koNsgv9taYreBHpP9LD1PRCPThX+jJv2dCuex4Sf2c1JRWPuAgkj4u+l94Xu1Tmhj/v6N+T2LFGEHm4FG3A33+fipZcuWkYULFwZrrk9lIX1n9P3ZVPR76TsbezyQ99/3Xx1Njz4aLNzECDupSe2Msol8/fXXrhD18ssvpzQNHTrUDdOsYZszUffu3d0Jtnfv3sGS9d10001uHQWZDdEJO9WrIuko/qCnSQe1VILeRsnwsKMwEm4vFcgKKqzR0f72aIIjd2xhNVHhPrbwGE7xn6MTVPiaCtyJxK4Tf3KJpb9VgSBZwGvatOmaz4mvpdjQ76q/TQX++HXiC7IqrIevJfo9Yn9O/Mm5MLbXxmwDSXVbiwriWk/fyfgaCG2v8GdpH0lUQxEb3rQvxYoN7OGUiqLcB+K3x8b8/Rv7/1RkCDvYxObMmRM58MAD1+zv8VOJEiVcK594YcgJ14s/nhal2N8vNvS8957/6mhKcMrcJPr06RP55ZdfgmdIJrUzCopEt27dIqVLl4489NBDwZL13X///e7kqXU35NZbb43cfPPNkQEDBqyZ9NkjR44M1khvsQeUTRJyQhkedsJCmKaC3jtHhbDwM/JqihNbKI1fL77wmOz/T0FJr+v/OJH8FMDzogJn+DnxISKV31WFzth1Ep1cYz9HJ8F4sa/Hv7+wtlde8toGkuq2jt0/khXYVRMUhmEF8Fix709U8yH6+8N1NBWG/OwDyX4v2di/f0M29P9UZAg72MS+//77SJUqVdbs74mm2267LVh7/ZATTomOx0Ul/mdr0vF+yBAdQ/zXp6i/tj/++GPkgQceWKd8p2OFunrMmDEjWAvJpM1obLlo9erV7jH6/+AeE1Fnvbxej7XFFlu4DrIa0CCc1OmvWrVqwRrpT79/9ODmOtlHDybBUuQl9v4o2yQZgW1DNECGRAtrrrN2MnpN68hbb73lHhPRiILJ/v/UGVuK+r4u2pdCef2sZL9rA3XcDjRt2tQN3x1PPyP8ORvz9xTV9kp1G2xI+H+t/UvbIpFoKHOd9CUcwCEU7l9y4YUXBnPr0t+f175XEKn+/YceemieoxNu7N+/IYX1/wRkgg2VaSpXruwGdclrhNZbb73VDWq0KaZENLhJq1YaFGD980JRKF++vCvPxZbvNBiVlq9atSpYC8lslrDz66+/2tixY4Nnhe/rr78u0s8vLAonkuzLJGEgSoVGrdPNSI899tg1U6NGjay+RtnJAIScgokNOBrtqSDCk0m9evXyHFks1QLd1ltvHcytL/z8gv6uqUg04lUyef2uYSE0rxAZrrMxf09RbK/8bIMNCf+v9bfqc5NN4XaKL5yEz/X+2IJ9vDBIFwb9Pqn+/Tpu5vWzN/bvz4veV1j/T0C622OPPezAAw8Mnq1P5SKNhKjv2rhx45KWB3RxQqFpU0yJ6Pfr2nVgdG7ThJ0dd9xxvfLdcccdZzvvvLO7KT/ytlnCjq5ctWvXzi6++GL7/vvvg6UbTwXlHj16WJMmTeyTTz4JlqavUsHtd/MqxMyePduFoVTu6Ksv5SINn5yhCDkFE1t4zE8hK1ZYmMsr6ITCn1fQn1W6dOlgrnCooKirf7oDdnglrmHDhm7KBqlsr6LeBuH+oSGjw89NNKngLvHBIaytSGX/Koh0//tD2b6vAhuics9tt91mJWNvUhPj6quvtkMOOcTN61yTbhdBY3+nk0/e/L/TypUr3XEEedssYWffffe1a6+91t544w1340zNjx8/vkBXRpctW+buR3PzzTfbaaedZnfffbdrZpAJBeftt9/ePc6aNcs9JrJgwQL3qFQPJBLWtEhBm8Do3iepCgtyhXkVvqB0weSwww5bc28WNT2LnXLBptgG4bFZ+5quqKYyxQrfXxT7TCb8/cK+CngHHXSQuxG2mo/qmKAApPLQXXfdZXfcccd691ZMh9CT6HeIrfRJUgGEdBHZjCZMmODGVS9btmykRo0abvSjvn37RsaOHRv58MMPI7MTdJacP39+5LPPPouMGTMm8vDDD0caNWoU2X333V3H0IYNG0aGDRsWrJn+XnvttUjlypUjbdu2jURDW7B0rcWLF0eaNWvmhuHWPXk2JNPvs7PZZPgABeqkqK+ypmQjnG1ItBDn3q/BDjYkHBBBo0vFip4E1vwe0cJesHR9ei1cL5HY1/WZycT+3dGTT8KhmcPX43+fVH/X6Aluzecno+OW1tFjvLx+TmFsr43ZBhL72Xlt63AktVT2j0TC92t75kV/Q/j7pGJT7AOysX//xv4/FRkGKMBmpHsJqszyxRdfRGbNmhUs3TB9dzflqIXRkBPMrWvECP/V0fTEE8HCTYyhp1OzWQco0F3fn376aXvuueesTp06NmXKFLvuuuusZcuWrpmbpvPPP986duzoJs2Hy9WRVdWd33zzjWsa8dBDD9nQoUMtGg6CT09/+pt32203+/zzz2369OnB0rXUTEh/36677mp169YNlgLrUk1meMW8X79+BardCZsXqblOXjWsei1s0hNbo7Q5DBkyxD3q99AVt6JqIpXONtU2CP+vC9p0UVdFRftmfmoRNyRT/n72VWB9ap6vTvbqV7ztttsGSzdMx5NNWRvaPkltkrtEEahQIZhBWtqsYUc02tjpp59uw4YNsyeeeMKNSqQQpEKV+t289NJLLsRo0vz777/vmnapk5sC0H333edGyvnf//7nRvDIJPrCHnPMMfbXX3/Zww8/vE4nsyVLltiDDz5oM2fOdIMMVK1aNXgFWJcKThdddJGb1/dGzWXyCiyiQtvgwYODZ340KlFBNHZ5PIWpsLDaqlUr91jYwoKx5BXc1H9CYtePVZiF6nS1sdsg1W2t45RoHTU/yS91OBbtl8ner78lv5+9qfaBjf372VeB7BN7mo0NPkg/mz3shNRZTSNN9O7d25599lkXfhRwNN+nTx9X46NaIBXEhg8fbi+88ILdf//91rp1aytbtmzwKZlHhdR99tnHXe275JJL3BCt+ts1POvzzz9vBx98sF1wwQXB2kBit9xyy5qrxSqMqW9AoqvQKlRpCOVatWpZ//79g6Vml19++ZraoS5duqwpnMVS52oN9ykatS3ZELwbK7ZAOGrUqGBufeF66hQeX1DX81zo9L2x2yDVba0rm+H+df3116+p3UtE+0584V3HuXD/0vvj9039/vpd81vo31T7wMb+/eyrQPaJ/ZozRkB6S5uwE0snFY3GoaH1NLKaCvs6wWgAghNOOMG9pvHXs4HGSletjqpkX3vtNbvssstc7daYMWPc36pAl0n3ycHmoSFvdQEgLJCpwKXvSMWKFV1BKpw00IUCi66wxxZ09T4FJlFBTeuqSaiCkSbNa5leU6G1V69ebt2ioKY+YcFYv6t+bvg7xIYw1QiL/hYNdNK3b19XmNS6qh3WuuHnZKuN3QapbmutowtOooK+wrSOyarp089Tp3uFZIVo/dz44KT9K6x9DAv3qoHUz9LoZHquvyG8p1CqNtU+sLF/P/sqkH2C8aNMdxGJnmqRzoK+O9jM/vvvv8ikSZPc3YU16Y7a6ryXHwxQUEAZPkBBrLlz50aiBUZVqCedosHIdYJesmRJ8K61Bg4c6F5P9D5N0cJxZOLEicHa6yqMDveh2HVip08++SRYI+J+/3BwgPhJf0M0/K15Pf73SfV3jQZCt446lScT/gw9xsvr5xTG9tqYbRCK/fzYKXZbh958881INLgkXD+c9HqyfUTbMdl79PO0/4XLUrEp9oFYBf37C+P/qUgwQAFQYLff7r86W24ZiR6/goWbGAMUpKaY/okeYJEFdLW9efPmrsMf8mHiRLOjjjLTPYo6dTJ76KHghcylJme6Aq3mQu+9955bpn4HupKvq+fRApZblojeo6Zwv/3225orzqpNVdM1vTfZFWhdtVYzVNF6YT+gePrddOVbn9O1a9dg6fq0jjp2h02edHVctZ7x9Luq357+3mhB0/2uGsBE82r2quXRguQ6HVpT/V3DAR/0utZLJPwZ2rb6ubHy+jmFub0Ksg1ipbqtRbV7+kztH/rdQto/tI9tqHmjfpbep/1StYt6j/5+/a76PfXZG9o34hXlPhBvY/7+jf1/KnTLlmkMbO1kZrr59OjRZpUqBS8CyMvVV5vdc4+Zuou//bb6JgYvbEI9e/a0Nm3aZE1rp6JC2MkihJ0CysKwAwAbRNgBCuzCC80GDDDbbjsfdvbZJ3hhEyLspCYt++wAAAAA6WrOHP+o/jpcI0hvhB0AAAAgH/75xz+WKOEnpC/CDgAAAJAP8+f7x6228hPSF2EHAAAASJHuAb94sZ+vUMGsXDk/j/SUVmFn5syZtmTJkuAZAAAAkF5mzPBjGglBJ/2lVdjRHd1btWplAwYMWO8u0wAAAMDmNneuWXhtfued/SPSV1qFnVWrVtmrr77q7q9w2mmnuTtsjxs3zmbNmhWsAQAAAGw+f/1ltmCBn99lF/+I9JVWYUc3V1OtzpFHHumatD3//PN25pln2jnnnGO33XabffPNN7ZixYpgbQAAAGDTUs3O6tV+vlo1/4j0lVZhR3cg79ixo7uT9EsvvWSdOnWygw8+2D755BO766673A0zNen1n376KXgXAAAAsGmEPS22iJaiq1Tx80hfaRV2QltttZUdeOCBdscdd9izzz7rws25557rlo8fP946dOjg7hh76aWX2ujRo23evHnBOwEAAICiM326f1TYoWYn/aVl2Im17bbb2sknn2wPPfSQffjhh/bggw9aly5dLBKJuBCkmqBTTjnF7r33Xvv222+DdwEAAACFS83XfvvNz1eurHKqn0f6SvuwE1q8eLH98ccfbvrrr79c3x0FnnLlyrkBDDSogfr83HLLLQxfDQAAgEK3bNnawQn22MOsfHk/j/SV9mFHtTUPPPCAnX322daoUSM3UMHIkSNdyLnmmmvsscces8cff9yFHYWfvn37WufOnRnIAAAAIMt99dVXVrFiRdtyyy3dfKy8XiuoOXPMfv7Zz6tWp2RJP4/0lZZh5+foXjRkyBBr0aKFG4mtW7duNmbMGKtSpYqdeuqpbpS2l19+2QWcww8/3I455hgXghR0qlWrZqNGjbJPP/00+DQAAACk4t1337Xu3btb7969benSpcHS5AYNGuTW79evX7Akb+qCoPX1WBjUb1uTftf4Ptx5vVZQqtmZOdPPq79OiRJ+HukrrcKOvmCXX365tWzZ0i655BIbO3ZsNEHPsQYNGrggo8EKnnrqKTvppJNsxx13DN611gknnGC77LKLLViwwN5///1gKQAAAFKh1jO33nqrXX/99e7icV4UIDRolNbXvRF/+OGH4JXktJ7W143kM5H+xDAD7rmnf0R6S6uw89Zbb7kma7///rvVrVvX/ve//9mwYcPshRdecPO1a9cO1kxMNyVVet9hhx3s+OOPD5YCAAAgFWotE3rvvfeCucR0kTrWhsKRmpKFNSyxPyeTTJrkHzUSm/rsIP2lVdipUKGCNWnSxJ544gnXVO3uu+92Q1CXT7H3l/rs3H777e69hxxySLAUAAAAqVDrmTJlyrj5+DATLz4M6aJ1XmI/r2nTpsFcZpkxwz9Gi6y2ww5+HuktrcKOmrCpL87pp59uVatWDZamrkSJEnbkkUda/fr1gyUAAABIlYLOoYce6uZVEzNt2jQ3n0h8GNLzvPr5qImcqAVOvXr13HymCe9pr8EJdt7ZzyO9pVXY0U1DS5UqFTwDAADApqaLzqFktTtqjhaOcKbaIFHQSTZAVOxr4frJKGDp56bSB2hT+ucfsx9/9PM77WS23XZ+HuktrcIOAAAANq/YMJKs305sCOrVq1cwl7wpm4JOWOtz4oknusdYek2DF2iY6Bo1aljDhg2tVq1aVqxYMWvdunWhjaa2MdSEbfZsP7+BbuRII4QdAAAArLH33ntb9erV3Xyymp0wBGnEXDVJC9dPNkhB7OfE1+yohmj//fd3w1cr9KiZmz5Xj6JhqhV8CuteOQU1ebLZ3Ll+nh4TmYOwAwAAgHWEgURNyhKFjDC8hKOqhQMOaN1EtTBhfx31B9pmm23cfEjDV6vJmpaPGzfO/vrrrzWPb775plv+999/u/U2pylTgpmoAw4IZpD2CDsAAABYR2xTs/jandj+OqqBkdihpEeMGBHMebHrxzdh07rhawMHDlzzeSGFrltuucXNa734z95UIhF/jx3Zckuzrbf280h/hB0AAACsQyEjHII6vt9OGH5iR25LZX2Jb8IW3lxUTeGSDUd90UUXBXNmn332WTC3af33n9kXX/j5o44yK8CgwdhMCDsAAABYR2yQia/ZCcOMXg8DTuz68f12wvXVHC1cJxTW6sQvj6XPDvvv5DUUdlGaOtVPUreuWenSfh7pj7ADAACA9YRDUKsZWmzgCZuSxTZdk7CJmvrXhCFGwvXja270uVpXNDiBRl5LNoXrhY+b2qRJZqtW+fmaNf0jMgNhBwAAAOuJbXIWhh3VrIS1K4n614QSrR8fjhINZJAX1fC0atUqeLZpffedf1SNzp57+nlkBsIOAAAA1hM7BHXYFC0MMbHN1kLqdxM2NwtHX4utEYqv2Ykdle2KK66wSCSS57RkyZJ1+u9sKsuWmX3wgZ/XjUSjfyYyCGEHAAAACYW1N+FNQRP114kV1u4kWj9+yGk939x9cVLxxx9r++vUqmVWsaKfR2Yg7AAAACChsN+OgosGHghrasLl8cKmalpfgSfsrxM/5HQorDkKw1E6+uUXsz//9POnnOIfkTkIOwAAAEhINTthDc5TTz2VtL9OKLap2q233rqmX078kNOhyy+/3D1q4IHevXu7+XQzcaK/z47st59/ROYg7AAAACCh2OGiw1oaLVP/nERiXwtrgWI/I95ZZ5215jWFow4dOrj3hSFJtT36uVq+5ZZbbpbR2MaM8Y8ahW2vvfw8MgdhBwAAAEnFN0FLVqsTim/iluxmoaEXXnhhTeAZNGiQNWzY0CpWrOiGnFbAadasmVu+OZq5aRS2zz/38/vuaxZ0MUIGIewAAAAgqfbt26+prVEfm3PPPdfNJ6PamnB9jei2ofX1mZ988on16tXLBalw0IKQPkujtU2ePHm918JBDjRpPlZer6Xq22/N/vvPz9epY9EA5ueROYpFNJYfsoIOEs2bN7ea3O0qf9QY96ijzBYtMuvUyeyhh4IXACCLaTxdXaH/9FOz+vXNRo82q1QpeBGAdOxo9vjjZiVLmo0bZ3bEEcELaaBnz57Wpk0bq1GjRrAEiVCzAwAAAMT591+zjz/28xqY4LDD/DwyC2EHAAAAiPPNN2Y//ujn1W1pC0rNGYn/NqSNdL6hGAAAyC2jRpmtWuXnNTgBMhNhB2lDbU41tCShBwAAbG4ffOAfq1UzO+AAP4/MQ9hBWtHQkoQeAACwOf3669ombAcdZLbHHn4emYewg7RE6AEAAJvL66+bzZ3r5xs18o/ITISdHNe9e3d30650mBIJQ49+TwAAgKK2YoXZO+/4+fLlzU45xc8jMxF2cpxChG61lA5TIrrR2MCBAwk7AABgk5g+3eztt/18w4Yqi/h5ZCbCDtJSGHKmTp3q7twMAACwKYwda/bff36+cWP/iMxF2EFaIeQAAIDN6aWX/GOVKmbHHOPnkbkIO0gbhBwAALA5TZpkNmGCnz/wQLOaNf08MhdhB2mDkAMAADan554zmz3bz7dpEy0oU1LOePwXAgAAIOctXmz22mt+vlw5swYN/DwyG2EHAAAAOe/9982+/97Pt21rVrWqn0dmI+wAAAAg573wgtmqVWZlyviwQxO27MB/IwAAAHKa7q0zbpyf32svs4MP9vPIfIQdAAAA5LRhw3zgkRYtzEqX9vPIfIQdAAAA5KxIxOzpp/38DjuYtW7t55EdCDsAAADIWW+/bfb1137+hBPMdtvNzyM7EHYAAACQsx591A9MUKyYWatWwUJkDcIOAAAAcpJqdFSzI8cdZ3bSSX4e2YOwAwAAgJz0+ONm8+f7+XbtogVjSsZZh/9SAAAA5JxZs8yGD/fze+xBrU62IuwAAAAg5zz/vNmff/p5jcBWpYqfR3Yh7AAAACCnzJ5t1r+/n69Qwezcc/08sg9hBwAAADnltdfMJk/28+3bm+2+u59H9iHsAAAAIGesXGk2YICf33prs44d/TyyE2EHAAAAOUO1OuPH+/nmzc322cfPIzsRdgAAAJATli8369PH1+6or86llwYvIGsRdgAAAJATnnvO7JNP/HyrVmb16vl5ZC/CDgAAALLeokVm993n58uXN7v4Yj+P7EbYAQAAQNYbPNjsu+/8fMuWZvvv7+eR3Qg7AAAAyGq6r06vXmaRiB+B7ZJLgheQ9Qg7AAAAyGoPPGD2yy9+XvfVOeAAP4/sR9gBAABA1po6de19dXbYwaxrVz+P3EDYAQAAQNa66y6zv//289dc4wMPcgdhBwAAAFnps8/MBg3y8/vtZ9axo59H7iDsAAAAIOssWeKbrOlRrrzSDzmN3ELYAQAAQNYZNszs3Xf9/LHH+puIIvcQdgAAAJBVFiwwu/deP1+hgh92unRp/xy5hbADAACArNK9u9mECX7+wgvNDj7YzyP3EHYAAACQNcaPN3vkET+/yy5mnTv7eeQmwg4AAACywtKlZjfeaLZsmVmJEmZ33GG2007Bi8hJhB0AAABkhfvvNxszxs83bmzWtq2fR+4i7AAAACDj/fijWZ8+fr5yZbMePfw8chthBwAAABlt5UqzLl3M5szxz2+5xaxuXT+P3EbYAQAAQEa76y6zN9/080ccYXbuuX4eIOwAAAAgY3355domaxUrmj38sL+3DiCEHQAAAGSk+fPNLr7YbMkSs2LFzHr3Nttvv+BFIIqwAwAAgIz04INmn3/u50891eyCC/w8ECLsAAAAIONoiOnbbvPzu+7qgw8Qj7ADAACAjDJliln79mYrVpiVLu2HnN5ll+BFIAZhBwAAABlj1Sqzq682mzHDP+/Y0axlSz8PxCPsAAAAIGPceafZK6/4eQ0zrUEJgGQIOwAAAMgIo0ebde/u5zW8dN++ZmXL+udAIoQdAAAApL2vv17bT6dMGbP77zc78MDgRSAJwg4AAADS2uzZZhddZPbXX/75tdf64ANsCGEHAAAAae2aa8w+/dTPn3mm2fXX+3lgQwg7AAAASFvqozNokJ+vU8fsvvt8MzYgFYQdpI1p06YFcwAAAGYvv2x2661mkYjZdtuZPfOM2c47By8CKSDsIG3UqFHDOnToQOgBAAD2xhtmF1zg57eIllhVo7P//v45kCrCDtLKoEGDCD0AAOS4776zaFnAbM4c/7xHD7M2bfw8kB+EHaQlQg8AALlJI6517Gg2c6Z/rlHYunXz80B+EXZyXPfu3a1YsWJpMSUShh79ngAAILv9+69Zq1ZrR1474wyzBx/080BBEHZynEJEJBJJiymR6tWr28CBAwk7AABkufnzzdq2NfvgA/9c/XMeeMCsRAn/HCgIwg7SUhhypk6dau25axgAAFlN1zyvusps9Gj/fN99zYYMMatWzT8HCoqwg7RCyAEAIPfopqFPPOHnd9vNDzlds6Z/DmwMwg7SBiEHAIDcohodBZ177vHPt93W7KWXzPbYwz8HNhZhB2mDkAMAQG5R0Ln7bj+/1VZmTz7JvXRQuAg7aWT58uU2JxxQHgAAIEuFfXTCGp3y5c2eftrs1FP9c6CwFIskGwYL+aLN+NJLL9n3339vpUqVCpautWLFCtthhx3s7LPPtrJlywZLvR9//DH6BX/aJk6caIsWLbIqVarYcccd59Ytr29/inr16mXNmze3mjRyzZ/odrejjrLoxjfr1MnsoYeCFwAgiy1bZtaggR/jt3593zO8UqXgRaBoXX312qBTpowPOi1a+OdITc+ePa1NmzbuFh1IjpqdQvLff//ZM888Yw888ID17dt3vemuu+5ygWbx4sXBO7yPPvrIhZpHHnnE5s6da5UrV7avv/7aunXrZhdddJHNDO+oBQAAkAVig065cgQdFC3CTiGZPXu261y/xx57WI8ePVzAuffee9dMDz30kF133XXr1NT8+eefdsMNN9hvv/3mHocPH27PPfecjRgxwk444QQbOXKkey+VbwAAINOtWLHuYASq0dEIbAQdFCXCTiFRcNG055572oUXXuiqFVVjE07qfH/aaadFv9jRb3bgtddes/Hjx9sZZ5xhV111lWvmtuWWW1qdOnWsT58+Vrt2bXvxxRdd0zgAAIBMpZbinTuvHYxgu+3MnnnGrGVL/xwoKoSdQqJ+N8WKFbPdNDh8CpYuXWpjxoyxChUq2CmnnOLeG2vXXXe1hg0buqZtb7/9drAUAAAgs8yebda6tVm/fv759tv7UdeaN/fPgaJE2CkkkydPdgMT1FcnzyiFGQ02oBHWEpk3b55NmjTJqlatmnRAgXr16rnPnDBhQrAEAAAgc/z1l1mzZmavvuqf77672euvmzVu7J8DRY2wUwjUp+ann35yTdTmz59v3bt3d31ujjjiCNd07e6777YZM2YEa3vTp093gxWUK1fOttcljgS23XZbK168uM2aNStpaIpXunTpYA4AAGDz+flnX6PzwQf+eZ06Zq+84gf/w8ZTGZF+3RvG0NOFQEGmZcuW9scff7iwoU2qUdX0+Pfff7umaAcffLAbbKBu3bruPWqapn486p8zatQotyzeV1995cKShhQcMmSI69OTl1tvvdX++usv23HHHYMlGll0mRs04bzzzguWYD0MPQ0gFzH0NIqQijYXXmj2++/+eb16ZkOHWrRM4p8jdSoPDh482PXrDq1atcp++OEHe/DBB5NeNIdHzU4hUK2OBidQ0zX1v3n11Vdt3Lhxbnrsscfs0EMPdQMR3Hzzza75mmgnVRiK76sTS7U+W2yxhVsvlUxasmRJO+ecc9wACeF06aWX2umnnx6sAQAAULQ0lHTbtmuDzsknmw0bRtApqL322ss6d+68Tvnu4osvdoNiqeyJvBF2UqAdSffRWbhw4ZpJz9UMTSFENSc33XSTG0FNk3ZKNWlTAm/UqJHdd999bp0PPvjARuvKWVReIaeg9JnqA6QaoHDSc9UyAQAAFLWePc06djSbM8c/P/98s5dfNuO+lwWn8mR8+U6teHST+tWrVwdrIRnCTgqefPJJa9WqlbVr127NpGZrt99+uwtCO+20k2smpuWqXYmnIaQVepYsWWJffPGFW6b1wsCTrNZG/X+0E6t2R+0yU7Fy5cpgDgAAYNMIW4LfeKNZ2M34jjvMHn1UhXX/HIWLoJMawk4Kfv/9d9cM7fPPP3dhRdNnn33m2kqmuqMpgSvczJw50z1XbYsCjGqH1KcnkX///ddWrFjhmrNROwMAANLRlClmZ5xh9sgj/vnWW5sNGGB2/fVmJUr4ZcDmQthJgQYSeP75523QoEE2cOBAN6mj2A033OCaqymUfP311zZbA8knoVCkGpzy5cu756oN0ryaw2m0tUQUjPQ+VVemWrMDAACwqWggAnUNDlrpu6GlR470TdmAdEDYScHee+/thpI+7rjj1kx6rnvqKIQ8/PDDduKJJ9qjqqtNYsqUKS7sqDOZqLZGI7FpJDcNcJCIApRqdnS/HQAAgHShFvj33eeDzuTJftlJJ/mgc8wx/jmQDgg7haB69equOdorr7zimrzFe++999zABFqvgYb5jFKfHfXjUc3O8OHDXaiJ9fPPP9s777xjlSpVcuEKAAAgHaghS7t2ZldeubZ/zuWX+4EIdC8dIJ0QdgqB7oWjQKI+PFdddZXr07NgwQLXDE1B5pprrnFN3Dp27LjmPjvSpEkTd+PRESNG2C233GK//PKLCz/qH3Rl9AiiwHP22WdbrVq1gncAAABsPp99pvKL2bPP+udqna/+OX37mm21lV8GpBPCTiGoWLGi9e7d2wUe1eDovja6307jxo3dKG260WeXLl2sk4YpiaGbQN12221utLYHHnjATj31VPe+Zs2auWGqW7du7UIPAADA5qZ7buueOboPrey9t9mrr9I/B+mtWCTZuMfINw0VrVqaqVOnuoEFNPpa6dKl7bDDDrOGDRsGa61v2rRpNnLkSJszZ47r16OhpnVfnhYtWrj3p6pXr17WvHlzq1mzZrAEKZk40eyoo9aOm6mjOQBku2XLzNS0WiXX+vV9D/NKlYIXgbX++svs5pvNHn88WBDVtKnZPfeY7bZbsACbXM+ePa1NmzZWg5sY5Ymwk0UIOwVE2AGQiwg7SMHrr5tde63ZpEn+eZkyZrfeatali/of+2XYPAg7qaEZGwAAANaxeLFZt25mzZqtDTr77GM2bJgPPwQdZArCDgAAANb46iuz5s3VYsRMg8XqxqCqyXnvPd9nB8gkhB0AAADYqlVm995rpm7Gb77pl+20k9nQoX45rRyRiQg7AAAAOU7dV3VT0KuuMps3zy875RSz117zgxEAmYqwAwAAkKN0U9BbbvFBZ+xYv0w1OLpvziuvmO23n18GZCrCDgAAQA4aPlw3Rje77TazmTP9MtXmqG/O5ZebFS/ulwGZjLADAACQQ/7+2+yKK8zOOMPsrbf8sipVzO6/3+zll/2oa0C2IOwAAADkADVZ00ADxxzjg02oZUs/IEHnzv4+OkA2IewAAABkuY8+Mjv1VD8AwU8/+WV165q98ILZkCH+vrJANiLsAAAAZKmpU806dTI74QSz0aP9sgoVzK67zuydd8zOOssvA7IVYQcAACDLLFhgNmCA2fHHmz3yiNnixX65bhb67rtmvXubbbutXwZkM8IOAABAlli2zGzwYLNGjcwuvNDs11/98r33Nnv6aX+D0P3398uAXEDYAQAAyAIjR/qho1u3Nhs/3i/bbjuzrl3N3n7b7Jxz/DIglxB2AAAAMtiXX/rmaU2b+n44ohuDXnqpb7LWq5dZ1ap+OZBrCDsAAAAZaMoUsyuvNGvQwN8fJ6ShpD/4wOzBB81q1QoWAjmKsAMAAJBB1A9HTdMUcu67z2zhQr/8kEPMXnnFDyVdu7ZfBuQ6wg4AAEAG+OUXP2T0EUeY3Xmn2YwZfrkGHHjsMbMxY/y9dACsRdgBAABIYz//bNatm9nhh5v16WP2999+uULOo4/6fjrnn29WvrxfDmAtwg4AAEAaUk1O2FxNgwzMnOmX16vn76GjkHPRRWbbbOOXA1gfYQcAACCNjB1rdu65ZvXr++Zqf/7pl6smRzcI1eADHTsScoBUEHYAAAA2s6VLzV580ezYY/0NQXUD0Pnz/WthTY5C0MUXm5Ur55cD2DDCDgAAwGayeLHZU0/5m4G2amU2blzwQlTYJ+fDD31Nju6dAyB/CDsAAACb2OTJZl26mB12mFn79mtDjpqmKfgMH+5HV1OfnLJl/WsA8o+wAwAAsIl8+aXZ//5ndtBBZn37mn3zjV9eubJvojZ6tNnrr5s1beqXAdg4hB0AAIAipKGiFWx0f5zjjzd78kmzRYv8a9WqmXXubPbxx37wAYUgAIWHsAMAAFDIVq0ye+MNH2SOO843WVOgmTfPv96wodn995u9+65/3HNPvxxA4SLsIG1MmzYtmAMAIDP9+KPZ88+bNW5sdvrpZg8+aDZpkn9tt93MWrc2e+21tUFojz38awCKBmEHaaNGjRrWoUMHQg8AIKMsWWL27bdmnTr5oaPbtjV76y2zlSvNSpY0q13b7K67/E1AwyBUpkzwZgBFirCDtDJo0CBCDwAgI2hI6Lvv9gHnkEN8n5sZM/xrFSr4G4NqsIHPPjO7+mqzXXf1rwHYdAg7SEuEHgBAOpo+3TdN0/DQJ55ods01Zp9+6mt3RDcAveUWs/ff17nM3yCUm4ACmw9hJ8d1797dihUrlhZTImHo0e8JAMDmsHCh2XPPmV11ldnBB/u+Nm++6W8IKtHTlF1wgdngwWaff65zq9l++/nXAGxehJ0cpxARiUTSYkqkevXqNnDgQMIOAGCTmjXL7O23zc4/3w8HffbZZvfe64eRFtXWnHOO2Ysv+lqc/v3NWrUyK1HCvw4gPRB2kJbCkDN16lRrr1tLAwBQxFSDoz42GiZa98PR9MQTZj/84F9XI4TDDjPr08fX7Dz9tFmLFmY77eRfB5B+CDtIK4QcAMCmpAEFFHA0ktq++5o1bepvAPrNN/51jaZ2wAFm111n9sUXZqNH+346Rx7pXweQ3gg7SBuEHADApqAmakOHWvR842tvmjTxI6lFT0FuuGg1Rdt/f7MrrjAbNcrsgw/Mevf2oYfBBoDMQthB2iDkAACKypdfmt1zj+9Xoxqcli3NnnrKbPJk/7qaqGnwAdXajB3rA8599/lhpbfayq8DIPMQdgAAQNb57z/fFO3OO33tzXHH+XvdaECBcJCBsmX9UNG332727rs+5Kg/zjHH+NcAZD7CDgAAyAq//2727LNmXbv6Gpn69f28RlWbPz9YKUrBp1s3H240VPQNN5gdfbRZ+fLBCgCyBmEHAABkJPW9eecd35/mpJN8jYyGg1ZtjgYTUP8b2WUXs9NP983Yxo/3AxL07Gl26KEMFQ1kO8IOAADIGN99Z/bQQ2aXXGLWoIGvpbn+erO33jKbNi1YKWrPPc0uusjX9HzyidmIEWZXXunvmVO6dLASgKxH2AEAAGnrjz/MXn3V7OabfVBRwLnsMrNHHzWbNClYKWrnnc1OOMHs7rt9rY5u9Kl12rY1q1o1WAlAziHsAACAtPHXX76PzW23mZ17ru97c9ppZj16+BAze7Zfr1Qpszp1fG3NsGFm48b52p2rrvJ9dbbf3q8HILcRdgAAwGaxfLkf+lkjpKnmRv1qdH+bxo3NbrnF7OmnzaZMCVaOqlnTrE0bs379zCZONPvoI98Pp1kzs913D1YCgBiEHQAAsEloOGjduPOZZ8wuvNAPCa2aG937RjU3r7xi9s8/ZsuWRQso0RLKttuaHXWUH3BgzBhf4/Pcc/69tWubbb118MEAkARhByhePJiJ0tkVAHKBjn3hMU931Iw9FhYShRuNfqabd6q5mUY/q1vXrF07swED/I07w3veiEZNO/VUs8svNxs50uyHH3zAufZaH4zULwcA8oOSHRCJmK1e7edXrfKPAJAL1I5MNEazjoUbQbUxus/Nhx+aPfywHwJatTIaNKB9e7P77vMDCixa5NfXTTv32suseXNfq/Pee77fjWp3+vY1a9LErHJls5Il/foAUBCEHeQ23TJbd5NbssQ/HzXKt5dQOwoAyFa//WZ23nlrhzNTxxi1Dfv6a/88BbrHjcLJvfeaXX2172+z334+4Fx6qR/yWR8X3sxTlUcHHGDWsaPZgw/6w+2335oNHWp2443+pp677ebXBYDCUiwSFcwjw/Xq1cuaN29uNdWDExumS4m6E93ixcGCGAce6M/A1asHCwAgS6jtmILOzz8HC2JUq2b22ONmJ58ULPAV3hohTbU2v/zia240KppCzJ9/mi1dGqwYR7UyanamEdM0mtree5vttJNZpUrBCgA2Ss+ePa1NmzZWo0aNYAkSIexkEcJOPrzxhm8YruZruruczuZqxqGxTPWo5a1b+160RdCOHQA2i4ULzY44wuybb8xKlPDLdMxTO49i0UkteWvtYT/c9ZZ9s2I3Gx8NNhotTZMGFkhGh1HVymjQgIMP9qFGIUc1PQCKBmEnNYSdLELYyYeTT/ZtKMqXN+vSxax/f9907cQTzebNM/vsM99xV3ekO+SQjW7LDgCbndqRvfSS2e23++dqb6bRAaZMsRmV9rEJJQ+xk/4ZZCWiiadXiZus28rb/HpxttzSbIcdfH+bPff0AUf3tVHY2WabtWMeAChahJ3UEHayCGEnRbod9+GHm02f7m/moJs06EytXrPqMaurnWEj86228r1jwwEMACDdqEYmJdEVdZwLB2KpUGHN8w/tCLvEHrLhdqbtbr/aQGtt59mzVqLkFrbN1r5lr+5joz43CjiquaGVL7B5EXZSQ9jJIoSdFKn5RsOGZnPm+F606l1btarZv/8GKwBAbnnMWtrlJZ6xd4sfbwcv+8D+3OtYG3vVm7bznqWsXl2fi8JWbwDSA2EnNYSdLELYSZEGJNDlyR9/9A3K33rLj0ikR7VdVz+dmTP9uo0a+bYaK1b45wBQ1MKaGj1q0tDLChqlopMqmf8zW7bEbO5csxkzzL77zmxh9LAW23osPLFrdR29VkY/aEl0jSPsMzvWvnSvTaxwlEWOOMr2rrWFjT/+Glv541Q7+rqjrNTy6A9of7bZwOixEEDaIuykhrCTRQg7+XDrrWbdu/t5ddbVfMWKZmPHmt1xh9mCBb6NxjvvWPQo4tcDgM3g92ig+fsfs59+8iNG61GjoH31ldn8edEgk2Q0tFDVXc22395sz33MztjyHWvZr5HZqtW2dM99zW65xUrV3t22+D36ofdGj33vRT9UfXs0bnS0EAUgfRF2UkPYySKEnXzQIASnnGL2ySfBgqitt17bV0defjlaMjgjeAIARWf+f/4aiyqV/1Rtzbdm337nb3/z7yx/yJo/N1g5gdJbmlWqbLbjDmY19zSrUd2sbjTL1NzDbNtto4e3baKvRw9xrs7n4kvM+vVz73MqVTSbE/PhGpZag7bQbg1Ia4Sd1BB2sghhJ59UirjpJrMhQ4IFAd1nQjcWbds2WAAAG0+tYdXsTJPuW6NDkAaBVC2Namw0dorm86KRzjSI5C67+KGd940GGt23RoMGaAABLd8gDUpw111mDz1kNnt2sDBKg7Hojp+q+VZCApDWCDupIexkEcJOAaj0oVuAq8+OGsAr6KifDgcOAPmks6myQzgpyOjQoptxatJ9alR7899//nY3G6JxUzTEs4ZzDu9Zo5HwNWikBgzQTTs3in45Nd3VY716Zkcf7ceRBpARCDupIexkEcIOABQtjUKv1q4KLL/+6mtiJk70IUY1Nnqux3CMkw3RPWsUXsLhnHX4VsjZdVdfU6N71+hexwAQj7CTGsJOFiHsAEDhUGDR6PRqWqbgMm2an//lF7Pvv/cDN6p2Ztmy4A15UIswTao4Vk2NHlU20aNu8aWuMeXK+eCjsQEAIBWEndQQdrIIYQcA8rZ8udmSJb7bimpjFGAUZNTsTM3M/v7bhxjV0OjWW6ncfisMK+o7s+OOfrT6nXc222cf39xMy6pU8UEHAAoLYSc1hJ0sQtgBkOuWLvU1MbGTgoxGM5s+3YcbTaq5UZc9hR81TUuFmpeFwSVsaqamZ5pXMzSFGfXx1wQARY2wkxrCThYh7ADIVgomqpFRrYvCi/rNKLCoJka1MJMn+2ZnWkfBRvN6TJX6xZQu7Uc6Uy2NamZUQ6Pbbe29t6+10b1q9KgBAzQqGgBsToSd1BB2sghhB0Am0+hlGpJZIUWPGsFMoUXhRs/1qGCjKb9nruLFfY2MamO22srX0GjSvYRVO6P+M2HIUQ2N1geAdEbYSQ1hJ4sQdgCkEzUp06RmYhq9TCFGHfoVXNQ/RuFFTcs0r9e0jmpsFi/270uValo0opkeFV7UT2aPPdYO3axygGpkFGb0upqZKfAAQCYj7KSGsJNFCDsAipqCy6pVvoO/golqWRRUwqZls2b5Sc3N1MxMgwDoPeo7o+d6b34omKhpmcKKhmFWoAlrYrRcTcsUarRcj4QYALmCsJMawk4WIewAKIgwuKi/i8KJnmsUsrBfjCYFFoUYjVym4KKhl9W5X+uqtia/IUY01LJCjCYNzaybZG69te8ro+cKNWp2phqZsD8N95wBAI+wkxrCThYh7ADQET0cZUwhRIFFtS6//eaXqcZFfWFUI6NwoyZjen3uXP+a1lfgKSiFEtXGKKCoOZmakanWRc/VZ0Yd/rVMzc7UpGy77fxyzQMAUkfYSQ1hJ4sQdoDspeCiGpX4gBLeL0Y1Mer/on4vWk+jlKkmRjUuCjn56QMTT0FFoUSd9tVMTE3HVAujeQUaNSnT6wo1Ci6qqdFz3X9GNTF6ZPQyAChchJ3UEHayCGEHSE9q8hXWuISTQosmhRWFF3XaV62Kgokew/vDKMQoqGidcF7vU9BJ9f4wsRQ6FFpUs6JJNTFqOqaQopHI1FRMo5RpmZ5rHYUdNSvT+8qU8fMAgM2LsJMawk4WIewARU9hRGEl7ISvGhdNCiIKLqpZUTBRbUs4qZZFNSxaP3aZPkeBRdPGHokVRMKgonASjj6mEKNwohoYhRctU22LamP0XOFF79UEAMgchJ3UEHayCGEHyJtCicKKwoWCh+bDsKIAohoVTeqQr9di+7BoWWxnfC1TLUtYU6N1C0OxYr62JXZSczH1aQlrW9RETOsp2Ogcp9cUWjRpXu9RqOFO/gCQvQg7qSHsZBHCDnJJWHuimpRwUuAIH1XzEi5XOFGzMK2v96lZmZ6H629Mf5a8qKZF/VUUPMKmYmpGppqWsNO+alzUVEzratKycNJzvaZaGj0CABAi7KSGsJNFCDtIZ6oRCYcrVk2IHvVcQUNhRCFENSe6Z4uWK5ioz4ruqq+aGPVpUT8VLQ9vTqnPCGtnwseC9GNJRCFFAUXhRDUrCh+qOdFwyZrCmpZwUmgJH9V5X5341VxM71cNS1hDI3o/AAAbg7CTGsJOFiHsoDAoeOiooNAQdqxXDYjChB7DoBE26QpfUw1J2JxL62iZAoyWqUO9XtcyhRu9T8v0WljTohCjn11YFDLCoKHgopoU1ZSEoSSsSQmfq0mY1lcNStgpX6FFfVm0jt6vsMJ9XgAA6YCwkxrCThYh7OSe2EChEKHQoBAR1pTE1phoXoEiDCZhaAlDSPiodcLwoZoULQtDj36OJn2WlhVWLUpewuARdqRXjUrYhyW2iZgCiQKL1lOI0b1cwn4tWkehJww+mjSv1wEAyESEndQQdrIIYSe96JulKTYohI9hUFDndz3Xo5bpUSFEy8LQEbtOuF4YXhRkwrCjkKPX4sOOAs2mEgaKsEYlDBQKIppXWFENSVhToqZdel3zCiwKIeENJhVowvUVeMKwo/4ragamzwMAIFcRdlJD2MkihJ2NFzbdUlDQo2o7FCxil4XP1VxLkwJFGEJiA4rmFUL0GeFrYWjRvN6nKQxE+tmboqYkFAYS1XooTChoKGDELwtrVjSvkKLAoXXC2pRwefio5XpdtSvhvN6jUKNJ8+FzAABQMISd1BB2sojCTosWzW2PPTIr7GgPVKFfQSB8rqZTKvjrMRQui62pUC2IgoIK7goQek3raLkK0wojCinhuhL2H1GBW5+p5Zr0vrBWJOw0r+exy8J1NgX9/goKChHqJ6JaEP2dYad3PaoGROup1iOsMdF79KjXwxqTMJxoff3dqhnRZ4TzYa2Jfka4LFwHAACkH8JOagg7WeTOO2+ztm1b2U477RUsyT/tDQoIKuQqRCgUqDCtwKDCvihUhMJaCz0qCIQBQ8FFAUHLRe9XENHn6nNUO6J19Vl6X1gDotfD94XLtJ7WiV2WrnttGBQUGhQ4wg7t4aOWhTUmqi3RMj0P1wnfF/Yx0WthUAmXhY+qOQEAALmJsJMawk4Wuf76V6MF7YOiBeMdXBhQcynVXChAKICENRLqdC4KIGHo0DIFCgWNsDZFn6Fgote1TKFGyxRawr0mrEnRlK4UDPQ3hDUk+t0VSlSboXkFjPA1LdP6Ch4KLXpUbYgChtZT+NA6WqawoffoUcu0jj5H79ej1tfr+llaFv5MaksAAMDGIuykhrCTRVq2NBs6NHiSRlS4V9iILeSHQUHhKjZIaJnWU01GSPN6v9bRugpWChPhZ2iZ6H1hbYdChcKK9m4t0/u1rsJL7Pv1eljrovXD9wMAAKQzwk5qCDtZJDbsqBZBVIhXSAgL9QoEmlfBPmxypUctU0BQCNBj+H69RyFEoUSfo+ChsKDHsBZDza70fgUFraOfob4iChiiea2rxzDw6H3h76LX9PP0qGVhMAlpXQAAAKxF2EkNYSeLdO36klWterjttltVF1DCAKMAIlqmMKGwonmFC4UZPWqZgo/mAQAAkN4IO6kJrrMjG1Sq9K21bv2fNWli1rCh2bHHmh1+uFn9+n7ae2+zPff0jzvv7G+2qBoaBR/VyhB0AAAAkE0IO1lk1aoyNm8e/6UAAACAUDIGAAAAkJUIOwAAAACyEmEHAAAAQFYi7AAAAADISoQdAAAAAFmJsAMAAAAgKxF2AAAAAGQlwg4AAACArETYAQAAAJCVCDsAAAAAshJhBwAAAEBWIuwAAAAAyEqEHQAAAABZibADAAAAICsRdgAAAABkJcIOAAAAgKxE2AEAAACQlQg7AAAAALISYQcAAABAViLsAAAAAMhKhJ0U/fnnnzZp0qTgWd7mzp1rX3/9tX333Xe2cOHCYGneVqxYYVOmTLEvv/zS/SwAAAAAG4ewk4I5c+bYeeedZ927dw+WJPbvv/+6dY4//ng744wz7PTTT7eTTjrJHn74YVu0aFGw1vpeffVVa9q0qZ1yyinWokULO+GEE+zCCy+0yZMnB2sAAAAAyC/CzgYsW7bMbr31Vvv4449t9erVwdL1KRBdfvnl1rdvX9tqq62sdevWdtppp9m8efPshhtucJ+h2pt4Tz/9tF188cX2/fffW4MGDaxDhw5WvXp1e/HFF938t99+G6yJovThhx/ap59+GjxDfo0ZM4Z9dSPogsevv/4aPEN+vfTSS/b3338Hz5BfgwcPtgULFgTPkB+rVq2y559/PuH5HRu2ePFie+GFF4JnQNEg7ORhxowZ1rlzZ3ciKFeunJUoUSJ4ZX2PPfaYvfbaa3byySe7oHL77bfbfffdZ88995zVrVvXBg0aZCNHjgzW9tTMrXfv3lamTBlX+6PPuOmmm9z7O3Xq5Gp2+vTpY0uXLg3egaKiguZvv/0WPEN+/fjjj+77goLRxY7Zs2cHz5Bf33zzjf3333/BM+TXxIkTOc8UUCQSsQkTJtjKlSuDJciP5cuXu/0PKEqEnQTU5GzEiBHWpk0bd8Vw5513tuLFiwevrk9XFLV+xYoV7brrrrMdd9wxeMVsv/32c8tUK6TQpJqi0CuvvOIK2W3btrXGjRsHS83Kli1r119/vR122GHuivkXX3wRvIKiUqpUKTehYEqXLm0lS5YMniG/dMEjr2MM8qbtt8UWnM4Kasstt7RixYoFz5BfbL+C03bT9gOKEmeHBB5//HE755xz3IABV1xxhV111VUurCRrxjZ+/HibNm2aHXDAAVarVq1g6VqHHHKI7bnnnu7qbdgPR4Hqvffesx122MGOPvpotyyWAs+RRx7pqsbfeeedYCkAAACAVBF2EtBoagogzz77rGtWVrVq1Tzb4/7yyy+ub85ee+3lrnDHU42PQtAff/xhv//+u1umwQymTp1qVapUcX10EqlTp467Wq6QlKq8mtohOV0V5spwwWnbUTNRcGy/jcP22zjafpw7Ckbbje1XcOH2Q8FQo5iaYhE1OMU6FEq23XZb1zRC3nrrLTv77LOtYcOGrj9NvGuvvdYefPBBu/POO10fn0S6dOli/fv3d/14NNKaBjzQIAa77767a86mPkHxxo0b536uQs+wYcMSrhPr5ptvdqO/1axZM1iCVA0dOtQ1Y9MIesi/J5980nbbbTc3yAbyT8ePo446yurVqxcsQX6ob2Pz5s3dPoj8Ux/Tiy66yJ33kD/qq9OzZ0/XXD0sMyB1Ghjj/vvvdxeWkX869mmQK459eSPspGBDYUejsA0YMMCFmXbt2gVL19WjRw+744473NDUOiiqaZrW1eAFb775ZrDWulSjo+God911VxsyZMg6fYES0WAIuk9PhQoVgiVIlUaEoe1wwalZpq7QJarZxIbpflz0Gys4FZg0CiZX1wtG208X07jCXjDz5893512usuefugfo+Ee5Jf80EqAm9fEuX758sBSJEHZSkFfY0eZT2NFIanmFHY26puGnb7nlFuvatasbeEBDS+cVdtRnqFGjRrbLLrukFHYAAAAArJVTl3E0xOFPP/3kakwmTZq0ZtJz3SdnY+Xnqk6qV9DIogAAAEDB5FTY0RDRun9Ny5Yt3XDPmjS8dIsWLVztTUEo4IRNJxSmklGYUsAJ2/Rq4AE9VxWuqiETmTVrlnud5kEAAABA/uVU2FG4UJt4BYf4aWPaeleuXNnVwMycOTNYsi69phve6VEju4lGYdPPVF8HjcyWiEZ40yhwastaqVKlYCkAAACAVORU2NE9bXQPHY1+9vLLL6+ZXn31VTcQQEHppqMKUX/++WfCZmfqfKfXFFi23357t0y/i0KSOob+888/blm86dOnu5odfT4AAACA/MmpsKOaFHXy32mnnaxatWpu0rwm3cSzoDTIgD7r888/d/foiafQ8t1331mNGjXcvXhEI2fUr1/f3Xfnm2++ccviffHFF25YS92UFAAAAED+5FTYKSr77befCy4a/OCZZ54JlnqqmdFIbWqqpnuQqEZHFLxOPvlk17ROQ0bH1+5oaOq3337bjZ1+7LHHBksBAAAApKp4d934BXn65ZdfXHM31cxoMIN4GqRAIWb06NH2/vvv29KlS909H6ZOnepuIqoApNof3bhtm222Cd5lbkhpfbaGnv7xxx9t6623du99/fXX3X15NEDBjTfe6G42CAAAACB/uM9OChQ+zjjjDHfPm9deey1Yuj71BVKgUXCpWLGiq9XRzcbUDE3LDz744GDNtdTETffeUb+h4sWLu5CkpnDq36P791x22WXcqAwAAAAoAMJOCjTK2oQJE2zbbbe1Aw88MFia2LRp09zNQBV0RM3V9t13Xzf6WjLLli1z/X00MltIfYv0PgAAAAAFQ9gBAAAAkJUYoAAAAABAViLsAAAAAMhKhJ0MoHvtbCqb8mdtKqtWrQrmUleQ90hB35fONuU+wfbzCvIetUgO+wpmm02xD2bjsS+Un+8Vx76ik8372MZguxQNtuta9NlJUxqSevjw4TZp0iRbsmSJG7DguOOOs5NOOsmN2hZP/41jx4613377zUqWLBksXUs7/XbbbWcnnHCClS5dOljq/fXXXzZs2DCbOHGiLVy40KpWreru7dO4ceOMHQlO223EiBHu3kfLly+3nXfe2f3t2oZ5GTNmjNuOGiVP20mDRGgkvl133TVYY30aYlw/SzeH1dDhGlJcI/cdf/zxwRqZR/vCqFGj3GAb2v80ZHq9evXs9NNPX3OvqFhaR0Ooz5s3L+H+qf+DmjVruntNxfvhhx9s5MiR7v9sxYoVboh33YPqyCOPDNbIPJ988onbl7RvaJ+oXLmyuxdX06ZN3UiNiehv13704YcfuvtuVahQwY3geOaZZyZ9j3z11VduNEft6zoO7LHHHnbqqae6n5fpFN5uu+02N9CLhuFPJJVj3/bbb+++/6VKlQqWejNmzHDH2dhjn763p5xySrBGZtP38qabbnLHL43smRfdOkHb8Y8//nDHPt0/Tsc+Hc+S0f6t7fftt9+uOfalcpzNRD///LO7tUSi45toP9TxrXr16sGStTSiq+6dp/1NI64ecMABbtvqvJ6r5syZ427poZuna9RalU+OPvpod4zU9z3X6dz7wQcfJC3vicpp8d9PvabzwXvvvbdmf9O5QPtbonN3zohuGKSZaKExcuCBB0bKlSsXqVOnTiRa6ItED4qR6Ak7cvHFF0f+/fffYM21ooXMyGmnnRapVKlSZNttt41EC1frTFtuuWXkmGOOicydOzd4hxctKEWiJ/dItGAV2XPPPSOHHXaYe79+1nXXXRdZtGhRsGbmGDx4cKRu3bqR8uXLR6In7Mjhhx8eiR5II9GCTOTaa6+NRA+swZprLVu2LHL77bdHqlWr5v7+Qw89NLL33nu7z9D7owXQYM11able1/arXbt25JBDDnH/BzvttJP7PH1uJokWDCMPPfRQJBpM3N+k/e+II46IRMOie6596OOPPw7WXuvHH3+MHHTQQZEqVaqst+9pihZCI+3btw/WXuuNN96I7L///u6zo8HS7fdbb711JBp4Ig888ID7fTKJ/r/vuOMO9/vr79DfpP1D+56eR0NcJBqKg7XX0vdX323te1pX74kWUN120fc6WtAK1lyX9nXtd/psbcdwW+q7PGjQoGCtzKW/QcfB5s2bB0vWp2NakyZNkh77ypQpE2nYsOF63/sJEyZEooVyt7322muvNce+aIEg0rVr14w89sW777773HfvoosuCpasT/tsjx493H4XHvu0PXTs03f/o48+CtZcV7Tg77aZ1guPfdFQ7o59+g4sX748WDM7PPLII+68qHNJ/D6mv3ubbbaJjBw5MljbW7x4caRbt25un9L7tL322GMPt82iBVW3D+YiHc90XNNxa7fddnPHO20j7X+XXHKJOx7mOp3/tM8k2980RUNNsLa3cOFCV8bRfqpJ23X33Xd3+5uOdV9//XWwZu4h7KSZSZMmuYK6ws2dd94Z+emnnyIzZ850BUwdHMqWLet25tWrVwfv8LTePvvsE6lXr16ke/fukT59+kR69+69ZtLJ7Mknn4wsWbIkeEfEfa4KX/rSXH/99e5n//XXX5G33nrLFWpVCOjbt2+wdmb45JNP3JdbBUUV2n/99dfIP//8E3n77bfdl10Fp169egVrr/XEE0+4wpJORiqAz5gxIzJ58uTIzTff7A7ACpx//PFHsLb322+/ueU6GOnkrgL/n3/+GRk+fLgrtOvznnrqqWDtzPDSSy+5wKLCzuOPP+72q7///jvy5ZdfRi677DK3r2gb6W+PNXr0aFfIadCggdu+2ndj979bb73VbZdY33//vdtf9T4d2H/55ZfI77//Hnn++eddyNLJL77wkO4GDBjgCj36u5577jn3N2n7ffbZZ5EOHTq479QJJ5wQmTVrVvAO78Ybb3T7ZtOmTd0+rPdMnDgx0rFjR3eiatOmjTuRxdJ6CqXa37X/Tps2zU2PPfaYW1a9evXIe++9F6ydeZ555hn39+nkfu655wZL16fvnY59BxxwgNvP4o99t912W2TgwIGRpUuXBu+IuO174oknuu+oCqPhsW/UqFGRo446yv0/3X///cHamenhhx92oVt/45VXXhksXZ/2F62jYKO/X8c+bQ/tk9r2Rx99tDuuxZo6daorSOnYp++7jhNaZ9iwYZH69eu79+n/L5tceuml7rx8/vnnR+6666519jFtA50DdM6IpfOnCvQKNjoHaR/77rvvIldffbU7Tmgf1Hk4l+iiQ6tWrdx3TNtUF3/0fVR4VnlEx0Gdd3OdLlDoAsQFF1yQcH/TpGNfrLvvvttt10aNGkXGjRvntuu3334b6dKli9sPGzduHJk9e3awdm4h7KQRBZgrrrjCXYlLdHLSQUGFQBVEdTKK9e6777qd+eyzzw6WbJhOcgpPKkjEX4X74osvXM2GrkzHF2zTlf6Gdu3aRUqVKuXCXTwdTHUVSYUiFapDqilTAX6XXXZxJ6R4nTt3dgdgFaJi6aCjGjP9n8UbO3as+zwVIDLl4LJgwYLIKaec4go+KhzG0xXg1q1bu5O0wkws7Uva7ipYpkL7+jXXXBPZaqutXAE13tChQ92VKf0+sQE9nenEov9vhbQRI0YES9fSSV5/jwqCCpIhfa8VTLRfxtfg6D2nn366C5mxYVE1Xv/73/9cEFJQjKfQpfe0bds242rHVNhWQVsnetW06jGvsKOTuk7wea0Tr1+/fm7fUwBdsWJFsNRTMFXNmGqFY48TmUKBV8ckBREdg/Q9ShZ2VNBWTY7W0zkkni5w6NinwlYsFex17FMhKp4ufKgmWKFxzpw5wdLMpn1E311dmEn16vj06dPd+VM1OePHjw+WejpXad/T91f7Yi55+eWX3fdVF3Z0zomlwruOgzpPq5Ceq7R/KLDoe6lwnAp973XRR+VDXZyMpXO3ykba32LPPbmEAQrSiNqnq4212vOqb0S86AnYojuza1Otfjax1F5fdt99d/e4Ifo5aqMdPWFZs2bN1mvrrjaean+snxU9CQZL01v0C+36PURP3q7PQry6deu6bagbv0YDTrDUXDtsLdMNY9UGNt5ZZ51l0YOE2w7qkyJ6jBayXF8KtYWNpzbr+j3U9+qjjz4KlqY37VPqdxQ90bg+R/HU30H9uOT77793jyG1Z1c7f/UXScWff/7ptovarCfafqeddprrLxUN9e6Gu5lA+9DkyZOtdu3adswxxwRL14qe4F2fO/VtiN1+b731lmuzrn0m/vur97Ro0cJ1/lYfoLATuL7v2i7q35ToWNG8eXPXR0o3Q9Y2zBRqa64+Svfdd5/7vp599tnub46eq4I11qdtob6F+Tn2qW+K2rLr2BffP0D9pPT/p357aveeSV544QX3fXrsscdcnzdtSx0Tk20//X3ab8O/OV7r1q0tGnbcsU/7qMydO9c9r1Spkvv8eDp26PPU5+Djjz8OlmY2nQdnzZrl+pWo/2cqwj46RxxxhB100EHBUk/nW51XdMzUerE3FM9m+i6rb+cWW2zhjls6r8bS+fnEE09052dtl1z1+++/2+zZs10fm2jADpbm7e2337a///7bfe9Vhoylc7f2N+13Wk/HwFxD2Ekj6oj28MMPu4PBIYccEixda/Hixe4LoJO0QkosFbK0XJ1KU6HOgepUussuu9hee+0VLF2XvjAqRIwfPz5Ykt50Un7mmWdcJ28VOOMtWLDAnai1XpkyZYKl5gr4//33X9IO3epwuvfee7sCqg5CopOYCpEq3CscJKLPU8FWHTAzgQov9957r3Xr1s3NJxIWmhTMQzpwqsCp4FKrVq1gad7UmVzv0fqJDuY6OGv76f9LncczgQpBDz30kF155ZVWtmzZYOm6wu0XW/hUINFJaP/99w+WrEv7sj5b+5H2YVFBUttQFz+23357tyzW1ltv7T4vDLCZQsc+7ReXX365DRw40A0WsHz58uDVxMJjn8JxKnQM1bFPnfaTHfu07+nY99lnnwVLMoMGC1CBR9/hxx9/3J1HdBEoma+//toNzBBfOAppG4XHPhX4RRcqdOxTmFbYTkTbT8eFTLlQsSEKhBo0RAFcF7hSoYFDtO8m27Y6dyig6/9An50LFOr096oQn+gcLTpu6fucad+9wqSBP2bOnOn2Nx3LU6HzpC5sJCvH6Psa7m8K7rmGsJNmFHh0MI0fMU2FZp28dPJQco8tVKrgpAKCClgqNPXv399atWrlRhQ6//zz7cUXX3RBKZZOXCrga5StRIUlUeFVJ3wVmDJlWNFw+8XXVOmEru2ik7auoIcj5mjb6eQtya6gaBttu+22rjYnPEgo9GibVq5cOWkwqFq1qgsFCkaxhdt0pb9RtQi62h0fpkOqzZLYGhztRyp866qnrv727t3bXV1WLVDnzp1dzUX8/qOCuvbpKlWqrHd1L6T9T4UFbb9MoP9vXQnX3x2//4lORLqSrqAdBmSFF53UVLuQ7Iqx/l+0jbTvhTWL2v+0bVRoiD9WiK6cavupwBlfC5zOVCOr2p2ePXu6339DV7z1vfrxxx/dBQx99/v167fOsW/o0KHrHftUYxMe+7TPJhIe+xQcMuXYJ23atLHXXnvNhR0dB+P/9ljhsUl/Z0GPfckK/uGxT/teJhz7NkRhRyFZ20k1Dpdccon7nqsG9c4773Q127H0Xdffru9hsu+1zhuadOExtqVBNtO5VvuSvq/6jiWi5Tp+6ru3oQsd2UphRxf6tL+pFvriiy9es7/ddddd9uuvvwZrerqgoe2lY2Be+5u+r9qPc2V/i0XYSWM6WaiJla62/+9//7P777/fDc3Yp08fdxIKaSfXAVMnlZtvvtluv/12dxVYVzxfeeUVu/TSS92XJSzUi75IOonroJPshKUvhwphKhiEV5QziU44avpz9913W/v27d2VYhWmevTosaYwr4OEClQ64Sc7+Kowqe0kYcFbB2z9/6iZUbJgoO2ng4/WzevqaqbQ8NDantpOCkQhBRf9fdqnNLytaid19ei7776z559/3s477zw3bLACZ0jbRPtruI0S0WsqLGjf1rbOdNoWarqnq+FhM0t9t7TtdHJPtv/pyp72MX1f9V2XcPspLCajY4S2XyZdxdOQ44cddljwbMP0fQz3Dx37FJJij32dOnVyBdPYwBce+xQgY4+jsWKPfZoyhYbtTVZDGE8FyVSOfbqIpn0t/tgX7peJZNuxT4VP1TZoOP6OHTvaG2+84fYxDTGvsNOyZUs3vHRIFxkUCLUNkm1bfZ4mbctMuaCzsfTd01Dw+ruTXWQNL1Zq++lCUC5SuNY20j51wQUXuP0u3N969erl9jddRAylsr+pDJNr+1sswk4a00lWO7YmHVx1wlGNTnw4UZMCXa3UVfU6deq4dtu6gqygpAOxmqqpeYPuVxGeeHTAERWGktHJTK/ry5FJVzdDOlDeeuutLhzq6ogOoKo6D4OLhH+bTvjJCt3aBuFBItwO2n76/9jQ9pNM3X6x1KTglltucYUjBefYJkOqPtfVIhVs1F5fV5a1/6lt8PXXX++2t664KwRpm0mq+59o22kbZjKFxDvuuMP9/artCmsWtR30t+W1/6lQrkKn1gu3W7g/5bX9FMT18zJ938uLamp1EUfHPjX5GDx48Jpjn2oYdZVTxz5d4Ig/9mmbJ6N9T69r22Xr9ov9XiXb97Rcx77Y/UiP+Tn2Zfp3V4VIXbzRo/YJ3bdI+5cm7W+qRVRtV9euXV2TVIndtsnuGaOmuvHbNtuF+05exzvtO3pN2y9XtkssXRSM3d903g33N10wU79PhaFrrrnGrSex+1uy7ar9Ta0KtP3DY2AuSX60wmanAo4OoDpZqy+Kml+pdkJNhHQjxpCaDKjJxrXXXusKlWrmpupPneg7dOjgCvtaJyyEpiq2MKAvSKZRYU8BT9tP200DEPTt29c19VBtRFGL3X6ZTLURukKuA6yuMl144YXBK54CpJZ1797d7rnnHtdvTPufmrpdddVVbr/U1eGnn37aDdiQqmzZfroqpz4oajrQpUsXa9u2bfBKagq6HbJl++VF+5mOfdddd509+uijrjN4eOxTjaIu9qipn2p5dLPWVOXCtitK2bT9FOpUE6tjoPrkqZWALiBqPzvqqKPskUcecedmNQ1XU3OJ/fsz8dy5KSTbLrn+3dP+psEbtL9p3zr33HPd8Uz7mwYR0XFOg0cpYCfa35AYYWcTUhMUFfxUMNSOHDax0PNEJ2KlcO3cCi9NmjRxO74edfVITbPCg4Vqe5T+lfQTdYzWCGP6cujq56effuqWhVeb8joQ6wqDXtcXKa+reJuK2qleccUVdtFFF63Zfqpl0KM6g8bTFXH97SoAqdmVgqC2p66Q6KQl2g762/R3JrsCqeW6Khy7HcKrJ3ltv7C/QbpsP3VUj91mmrQttU3V5ysRDfaggKOQon1V+5muEMXS/qlaCxU6E1EfCnWkVyfccLCLVPc/0bZLh+2nJgTaXrHbT99dfafDztvxdJFCzUgVdPT91Lqxf4v2Iz3Xdki2LXSFT00yC7L/pcu+p2YTyY592q4FpaCtffLqq692V8njaYADHftU6xge+xL1p4oX+93VtLmpT0iyY194dTe/tF+E+0ay/SjZsU/PN7TvSbrsf3lRc1t9R2O3reZVA6umQzoPqxm5gnOigYN0UU0XFXVxUp+lZqNq3rehbaur6/HbNtuluu/oda2nKdfoOKamktrfdIE2nmq+FLh1HtZAK2pVoX00lf1NTVdzaX+LlXt/8Wakfi/qfDtkyBB76aWX3KQOtHquq+YbouZAulqpdvpql65kn6qw2UzYbydszx+29UxEB20VsvRzdUDf3FRgVC2NBlyI3X56jO2PlIy2mw4SCkEq+Kj9sAo+YVMCtf1PRAcI/d/pIBG2M9b20PbTtktWJaxmdKpe1sFJJ8LNTf0WXn755XW2n+aHDRu2Xr8ObY8HH3zQnfC13W+44QZXS6aDan5p/1E7YhWcwn023J/y6g+h30nvUbPNdDg4qzZQ+1u4z2nSd1e1BuGwvCHtE2p+qoCj/Uf96FRLG/936OKETlpaP9n+p5OZ9jMFxLBDfdgUM/7nxtL7tP3UkXxz0++p7RT/3dXzVI59GyM89oWBVMc+Fbq0TZMd+/Td1f+JjhXpcuzT9zR+++mxoO3vdUxSoTyvY58K4/HHPm0TPVehNFkzo9hjX/zFkXSji5CpHheTUS22jo3az/V52rZ6ru9fsm2r7acLOjomJOu/km207+i7p/1K599EtO/omKnzcl59EnNZ7P6mi4j6Hof7m477iehcG+5vqu3ONYSdTUgHNBUYNdCAamY0qdmPnuuKkb7gOlCqiVqydK6hA1XQUQgJDxYKLDrhaXSrZHRy0meGhVVVi+oLoi+ATqSJ6Euj96iAlcrV0KKmjt0qQOoeHOH20+ANelR7fR1AFXqS1VKIhl/UNtC21vbTdtEXX39nslGrdIDQQUXbPSxsavvphKYrxskKnNp+YSEhHQrr6s8Vu800aVuqb0Ps6Graj9TZW/2d9DdqH9WV82Rtz7UPadslC32xYvc/7VPaRtp/E9Fr+pnpcmDWvTK0vWK3n5pF6jutZqIhFQ7VfE/NR3WyVi2iascSUZBTZ25tu2SFVu1fKhipkK51Rc1oVGjQdzdRgVP7s7afCprpsP0UdrWdtL3Cbaf9Ss/j70GSH6kc+0KJjn3aRolouQoO+v9Ltt9vShq9T9/TRMc+1ZoWRFjI1t+Z7NinbaT9OfbYp30vlWNf+PnpcOzLi1pGaISr2G2reV1Z1/lC3y+FnmT7Siwd0/S9FG0vvTfZ91rbVZMCQK4U6tUUS/uSLjIo1CSicKjyjUYB1Pc01+Rnf9OxKawt0z6k80iy77L2NZVldPEmJ0Nk9KSINKG7p+uuuboL+6+//hosXddXX33l7u4dLdxHpk6d6pb17NkzUrt27Uj//v3d80QuueSSSPRkv+Zu69GdPnLyySe7O/S+9957blm8aAHX3U0/0R3a05G2zeGHHx454YQT3J3BE9HfGj3guvWiwdIte+qppyLRL3/k/PPPd8/jff311+6Ozsccc8ya9+jxyCOPdP8Xej2R8847z93F/Nlnnw2WpL/oSSZyww03RKIF68j+++/v7oael+hJK3LRRRe5u16PGjUqWLquaIHJ7WuVK1eOvP76627ZlClT3B3q69Wr5+78HC9aAIucccYZ7v8qfE8miBa+I506dXJ3CNc+9vHHHwevJBcNlu57Fi3MBkvWNWLECLd/nn322e5O2PLFF1+4fU/7YDTwuGWx9P0+9thjI7vvvnvko48+CpZmHv3t0UDo7v4dT/tIjx49ItEQHxkwYECwdH3aP6OFpkg0dLrn2jYnnniiO/a9//77blm8K6+80u2v4Xsy1ZNPPhkpW7ZspEuXLsGSdQ0cONDtWx07dgyWrGvixImRGjVqRBo0aLDmmBotTLl9W3dq/+abb9yyeO3bt49Eg07kueeeC5Zkrk8++SRy2GGHRVq3bh2ZO3dusHRdb731ljvW69wTDYFumfYd7UPJtr2+lzq+6diY7HOzzfLlyyOtWrWK7LDDDpHhw4cHS9d1xx13uPPPrbfeGizJLR9++GHkkEMOccf7+fPnB0vXpXNiNAxGTjrppEg0xLhlffv2dfvbNddc457HU9mnatWqkVNPPTXp52YzanbSiK5+6oqG+lZomN9E1IxLV0R0NUpX2ERXLNWm+8UXX3TpPZ7uzaN7A+iKpvpXiJrPNGzY0H1W7JCZITX5UN8WXQXQeplAV9d1pffLL790NydMRE0UtI00mpiuOor68Wjbq9+U2mjH00h4qnFT7Vv4Hl21U18gNctSB/R4GiFPTeW0njqxZopo4ciiBUd3s0UN6qDR1fKifU9XhtV2WPtfIvq/0Ihtujlh2AZZNyvUXda132qksnjqx6H/R+3jhx56aLA0/amWVqMh6u9Uf51UhlHWNtYVYW2H+KYd2rb6fqpmR31PwiZB6qui2kyNRqa72cfTMr2m/8dooAyWZhddzVQNg2pyte+pFiKe+oglOvZpW6r5h77b8fSd1rFPTbC0XjbTsU/HNA1CovsVxdP20XbSdzC8Gqz1dexTs85Exz71W9GxT+tl0rEvGdUw6Dyp0SXD+4zF0jlb33m1LNB20X4jOm+q5laDAiVqcq4Bg1Qzq/1Stba5QMc59aPTOVj7lo5vsVSro+2s77X62+YiNTvWd07nAx2H4qlVivY37Xf6fqlmUDRIhvY9HfsTNevXeUTnF+1v6dA0d5MLQg/SxJAhQ9yVNtXUDBs2bE1qj+78kQcffNBdCYoWFCPRHdotl+iB1F3h1dWQzp07u+erVq1yV911lUBXeKNfCHcVVFdDQ9FCgrsir7Tfr18/d3VJr//yyy/uqkK5cuVc7U4m0d+h7RDWNEQLie5vmjFjRqRXr17u6ls0KEYmTJgQvMPr3r2720ZNmzaNRIOK2366+qErk7qyqf+P+BqcaGE8Ei3Au1ofraf/q5UrV0aiJ/vI6aef7j5PV6kyhWoTtd20jVTLFT0ZRaKFSLdPxk6qqYqe9IN3RSLRAqWrZYgGxkifPn3cvirafrp6Fw2W7irU888/75aHooVQd3Vd2/aVV15x/1eqWYqG80j0wO3+Hx955JFg7fSnmkXtD9oOV1xxRSQa8hJuv2gIWqfGZ+nSpZFzzz3X7S+qFfrjjz/c8lmzZkXuvPNOt+30HdYV9Vg6PkQLlJFosIpECwjuc1Tzoyt40cKpO47o52WyvGp2JFrgdjXh2le0zadPn77m2Kdam2iB0x3HVPsde+z74YcfXK1itWrVXI24rsbrfapdb9OmjXvPtddeG6yduTZUsyOqWdS+p5rUyZMnrzn2aT+tXr26qzmLr8EJaxZ17IsWvFztbXjsO+2009zn6XibDbTf3Hbbbe5vUg2Pjlvav7SdtL9df/31bh/VOVjPY1111VVuX9I+pX1Ln6XzrGoite/peKvzcC7R8e3oo492xzWdL1Qzre2ibXfxxRe77azzT1iLnWu0X910001uv9GxTWU9tRjQcpXtrrvuOne8U0uTaKgJ3uX308svv9y975xzznHncy2LBsjIo48+6sp5Bx98sNsPcxFhJ82osKcCjg6EKqyccsop7kQfTfCRaGp3BfVETQP0hVABRwcKHUAVVpo1axbZeeed3UFFISgMTrFUYNJJSwdrVcHrfSqcqhlO8+bN1zTbyhQ6CXXr1s0VAlXoVOjQF1/VwvqbVMB59dVXg7XXmj17tvvbtY1V+G7btq3b9tp2CjvJmmOoGYgKBPq/aty4sTupqcCrz+nQoUNGNU9QMyoVjBR2NOlv0DaLn3SNRH9rLG2f8O/Wvqp9Vs0ztF20L+ukpoN1PFW96yCsZg36vzrrrLNc0yvtjzpwq8lRplDheKuttnL7nv7uRNtOk7afwk0sFXgU8PS6wou2n05m2p5qTpioqakKl2rqof8rXQQ588wzIy1atHABUj9fhVg1G8lkQ4cOddtLf1syCt76fsce+3TRQttE31/tRyqMx3v55ZfdsU9NCNWsLfbYp+0YhvZMpkKOtt+FF14YLFmfCps6bsUe+/Td1bZTmIm/SBF64okn3IU37WtNmjRZ59inJryZdOzbEJ0f1BxS20THM51btb/Ur1/f7S8KQWruFk/nT4VIraN9S+/ReVb7nJoBKsznIl2c0fZQoV0XJHSO1nFP32E1zUrWjD9X6EKXmpaqWZqOY9qH9L3U8U3bSMFaFxnjKfzoPKr9Tc3EtV3VNULnU5UdX3vttWDN3FNM/0QPhkgzujuummbozs2qrtTIJLp/ie7RocdENDSzms6o2ZqqidUxVM03NFx1NLis6TgZTzeMfPrpp93ACKoijR6A7Oijj3ZDCUe/JMFamUO7tIZMVpM/NR+IFrJdVW/0xGTRL79FCzjBmutS5z013VI1ujoHqspdHYO1zfNqyqdmMrrZl4ZnVgdBVUOrSlnDler/LVM89dRT9sEHH2xw9CQ1FdQ+qKFwY2mEQFWvqxlLNHS6z9HAB9GCo2u6kIyac2hkKTWLWb16tWv6pxun6f4C+j/IFLppqoZA19+d12FVTdLU/EDfr1jqyKz7JqgJn/ZFNRFUU7VoaHaPiejnqGmm9vWw6YKaZJ522mkWDY5p3zl8Q9QM7YEHHnCDGOheRcnou6djn/ZBHft0rNOxT/dH0X3Jkh37tK31PjXhCo99atql/xvNZzodyx577DGLFrDdSJ7JaH9TE1atr6ZE+t7pu6tjn7ZHMjr26Tuv5qg69kXDgDv26Wdl0rEvFToP65ys5lf6ruq8Eg12rolfu3bt3P6WiJoOaduqeZEGddDxQc1L9Z5MaqJb2NRcf9CgQe5RA4yE21LfPR3Dcp2OR0OGDHFNRXVs1/6m8piaRmvfiYbuYM11qeyi/U3NJ7W/qUng3nvv7d6jpvi5irCT5rSz6iCrUUnKBcPNbojaDqv9ugo64ehNqdDP0glLwUBfkGygE7cOEmqnn+rJV9t7/vz5bqST/BR4dFILT4CZVEgvbCrMKxBpG2hbpEr/Vwo72mczvZC+MRQUtQ31HayQj7bV4eg9Ctu5SoUmFdwVbvJzoSYbj30FoQKWwmJBj316TzqMXlfUwr9X388NXRwKhefl/G7bbKf9TdtG5ZtcHH0tFeG5MT/7m46F2t+0fn7Ow9mKsAMAAAAgKzEaGwAAAICsRNgBAAAAkJUIOwAAAACyEmEHAAAAQFYi7AAAAADISoQdAAAAAFmJsAMAAAAgKxF2AAAAAGQlwg4AAACArETYAQAAAJCVCDsAAAAAshJhBwAAAEBWIuwAADLOm2++aXfddZctWLAgWFI0Zs6cab1797b33nsvWAIAyCSEHQBARvnuu+/s0ksvtSlTptiWW24ZLC0a5cuXtwkTJlinTp1s6tSpwVIAQKYg7AAAMsby5cvtjjvusJIlS1rXrl3dY1FSmLrhhhvsv//+s169etnq1auDVwAAmYCwAwDIGK+88oq99dZbdt5559luu+0WLC1a++23n5111lk2YsQIGzt2bLAUAJAJCDsAgIwwZ84c69evn22//fbWsmXLYOmmcc4551jZsmXt0UcftWXLlgVLAQDpjrADACg0GjBAfVv++OMPW7p0abB0XatWrbIZM2bYtGnTbO7cucHSDXv77bfts88+sxNOOMF23XXXYKkXiUTcYALTp09f09Ts33//tffff9/VBH3xxRe2cuVKtzyk3zV8XZ+7YsWK4JX11apVy4455hj7+OOP7Z133gmWAgDSHWEHAFBoZs+ebZdffrk1btzYbrzxRhds4t1///120kkn2SWXXOLWT4WCyMsvv+xqVxo0aGDFihULXvEWL15s119/vZ1xxhlu4IIXX3zRTjvtNGvbtq3973//s3bt2ln79u3XDDKgz4p9Xa+p9ub77793r8crXry4NWrUyBYuXGivvfZawr8LAJB+inePCuYBANgoFStWdM28FCYmTZpkO++8s+2zzz7Bq2Zjxoyxm2++2WbNmmWXXXaZCxCp+PHHH+3ee++17bbbzq666iqrUKFC8IqngQsGDhxoP/30k/3999/2+OOPW6VKldznV6tWzYWcb7/91v78809X46NgpJHWTjzxRKtataqrZdLrCkoKYolGeVPt0bhx49y6Ckpbb7118AoAIF1RswMAKFTnnnuuq0lZsmSJq8VROBA1XdNIaqrNUU3K+eef75an4sMPP7T58+fbLrvs4sJJImXKlLEtttjCRo8e7X7+yJEj7Z577rH+/fubrutts8029sEHH1iPHj2sQ4cO9vrrr7vXBwwY4EZaU5D6/PPP3ZTI7rvv7sLbP//8Y19++WWwFACQzgg7AIBCpSZm11xzje2///6udueBBx5wNS+qmVFIOOyww9yw0fFN0fKimh31Adprr73yfJ9qlQ444ADr1q2bCzei4anVvE2jty1atMj9XqrZiX1dNTW1a9d2v2ey++mUK1fOBS01YVMtEAAg/RF2AACFbscdd3SBonLlyvbGG2/YlVdeaa+++qoLC7fccotVqVIlWHPDFHJUK6R+M6rZSUbNzDQdfvjhVrp06WCpV6JECTeKm2qbFLbim6mVKlXKNXtTkFEzt2TCgRF+/vln9wgASG+EHQBAkVB/mQsvvNANHjB8+HA3Gpr62yhs5IdqW1RjoxqdrbbaKlia3E477RTMraUQFNIgB4moCZzErhtPP1+/h/4mAED6I+wAAIqM+s7ssMMObjhoPaq5WH6p6ZkmhRHV0GyIaoCSyasJXBhy8lpHTd70ukaHix/KGgCQfgg7AIAio1HZNDqagorugfPkk08Gr6ROAUcBRmEkvIdOXvKqmdlY4Wfr7wlrggAA6YsjNQCgSGjkMw1OoFHSWrdu7YaL1shouolnfqjpmJqeKejkdePPTUFN6vR7qIaHsAMA6Y8jNQCg0Gl46Z49e7panaZNm1qfPn2sefPmNm/ePOvdu7e7302qNJiAgpJChu7PsznNnDnTPW677bbuEQCQ3gg7AIBCp2GmP/30U6tXr5517tzZ1YJceumlVr9+fZswYYLdfffdKTc303urV6/uHjf3KGi//fab67OjYaoBAOmPsAMAKFS6mefTTz9t5cuXd0NOh6OjqTZE99+pWLGivfjiizZ48GC3PBUKTWrKprCzuUZCU22UbiiqZnm6lw8AIP0RdgAAhWbixIl23XXXueZrLVq0WG/0tZNOOsnOOuss1xzthhtusM8++yx4JW+HHnqoG81N99tJdENP1RItWLDA5syZ44apTuS///5zk+61k8jChQtt/vz5ScPU5MmTbcqUKVarVi1qdgAgQxTvHhXMAwCwUb766is3cprusaNma1tvvXXwylp16tRxy3WD0G222Sal4KBanalTp9rYsWNtr732cuEnngYP2HPPPe3YY4+1atWqBUs9hSGFoBo1arjX9RhPIUg3DW3YsKHVrFkzWLrWCy+8YKNHj7b//e9/dvzxxwdLAQDprFj0BFB0Y3QCAFBIxo8fb2eeeabtt99+NmTIkKQ3By0KqjVq3LixG3hBw2mrdgcAkP5oxgYAyAgHHnigNWnSxA188MknnwRLN40xY8bYpEmTXLM8gg4AZA7CDgAgI2g0tgsvvNANfKABEFK5wWhhUPO4Z555xg2w0LFjx2ApACATEHYAABlDo7IpcLzxxhuu/8ymoNHldINUDaG9++67B0sBAJmAPjsAgIyiEdPatWvnbjTav39/22qrrYJXCp9+1rnnnmvlypWzxx9/3A07DQDIHIQdAEDG0YABGoZ6t912s1KlSgVLC9+iRYts+vTptvPOO2/SAREAAIWDsAMAAAAgK9FnBwAAAEBWIuwAAAAAyEqEHQAAAABZibADAAAAICsRdgAAAABkJcIOAAAAgKxE2AEAAACQlQg7AAAAALISYQcAAABAViLsAAAAAMhKhB0AAAAAWYmwAwAAACArEXYAAAAAZCXCDgAAAICsRNgBAAAAkJUIOwAAAACyEmEHAAAAQFYi7AAAAADISoQdAAAAAFmJsAMAAAAgKxF2AAAAAGQlwg4AAACArETYAQAAAJCFzP4PZbDRb/xOuFcAAAAASUVORK5CYII=\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58941,"title":"Compute measurement uncertainty","description":"Suppose a variable  depends on  independent variables , , . If the independent variables have uncertainty , , etc. and the uncertainties are independent, then the uncertainty in  can be estimated with \r\n\r\nFor this problem, the relationship between  and  will be power laws of the form\r\n\r\nFor example, the relationship  would have c = 0.5 and a = [1 2]. \r\nWrite a function that takes a vector of values of , the coefficient , exponents , and a vector of uncertainties  and returns the absolute uncertainty , relative uncertainty , and the index of the variable that contributes the most to the uncertainty in . Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement.  ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 307.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 153.8px; transform-origin: 407px 153.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 44px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22px; text-align: left; transform-origin: 384px 22px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.8583px 8px; transform-origin: 61.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSuppose a variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.4583px 8px; transform-origin: 40.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e depends on \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.3667px 8px; transform-origin: 72.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e independent variables \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x1\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x2\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"56.5\" height=\"20\" alt=\"x3,...,xn\" style=\"width: 56.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145.092px 8px; transform-origin: 145.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If the independent variables have uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"20\" alt=\"Deltax1\" style=\"width: 25.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"20\" alt=\"Deltax2\" style=\"width: 25.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209.267px 8px; transform-origin: 209.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, etc. and the uncertainties are independent, then the uncertainty in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 71.5667px 8px; transform-origin: 71.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be estimated with \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 50.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 25.4px; text-align: left; transform-origin: 384px 25.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"166\" height=\"51\" alt=\"Deltay = sqrt(sum((dy/dxj Deltaxj)^2))\" style=\"width: 166px; height: 51px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.258px 8px; transform-origin: 132.258px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor this problem, the relationship between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"xj\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93.7417px 8px; transform-origin: 93.7417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be power laws of the form\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 27px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 13.5px; text-align: left; transform-origin: 384px 13.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-8px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPkAAAA2CAYAAAAF8T/xAAALNUlEQVR4Xu2dS8gtRxHHk72ixpVuIppFREElvlAiRtSAKBLFt8iHiI+FSMAIuggfLhR8IEHQRFTERXyAi6AIUVFRFJ+oEIgLIwhiVr7QvdYvd/43dfv2nFM9M2emz/lqoDjfPaenu7qq/93VVdV9r70mn5RASuCkJXDtSfcuO5cSSAlckyDPQZASOHEJJMhPXMHZvZRAgjzHQErgxCWQID9xBWf3UgIJ8hwDKYETl0CC/MQVnN1LCSTIcwykBE5cAgnyE1dwdi8lkCA/7Bi4zqp/o9FzjB5v9COj24y+bPSNwzZ9Ve098fK0QS5PcXI5s7/fZvTQynLptbnnGWPvMvq30eOGz+vt831G/2hhOkHeIq22sijpPqNvG314UMx/7PMxRs83+nVbdbNK98TLe60ndxp91ujjRvD2K6OHjZ7ZOoBnSaXfl+8x1l5idG7EYsD4+ZjR94xubWU7Qd4qsVh5Bu4PjX5eKOV/GwzmnngB4J83+sgAcKT5SqP7pw7gmDqOqhSgfpXR6weZwPwnjO4o5BbuVII8LKqmgn8bSr/WPrViY6L+yeibRm+q1IYiMcUwyZrMsT2ctfACD68xunGoE16bzcMRftT/Xw6DWH0U8GnnbvcuvLzd6EnDd5+0zw81aeH4CksWXzDW3+PYB/hs+24wat7OJMiXHwgyrUowazYuBzOKZZ/OisbzxAVB3sILAwm/Af6CJxh9YAD7f+1ziYmH1Zo+lv3/hX33gmIAY64+y+gzg0zOB15OHehs53heZqTFAV/KX4z47cnD700fCfImcYUKa9Cyd2IPxSNFsR8vZ2PMaRSKKc+zJMijvMADe2TMRK2w8PyAESupN69DQqgU0lblZvtNq5FMdfbjGsCs+J8zeovjRVbAH+27p09loPP3JAssnRc6XrU4jFmAe7uVIN8rouYCAqsHs8wtOZdYKUuz6xAgj/KCafhbo9Ljz4r6bqPSfGwVSg3MTCI/M2JrwABmIvmnEbLhqclnkuOpldmNytfALH8KiwMWEDpqdtgmyJfXKHtgVr83G33fCEcT5haOEwYp4ZD3V5R1CJBP5UVSmeXwcaLVSsxXWCr8+4PD7+w1mUQwz70l4TXDJPEtI2/GLq+5bWvUflzWCn6b1xmxVWI7w1aFv2v+nJ2cJ8iXVywD8itGAB3Ti33ln40UJrrd/q7FyA8B8qm8SCqyQJYI+eEfYLVmVWLl/pTRy40IDSGn2sQHH0wI3zG6y8g75pbX3PY1St74Qe41QmZfM0KP3gnKhHCLEaBn0WALI8ctvXi20WVLKEG+vWLFwSFAPrd3WAI/NWpePeY2bO9jzhNHf6sREwNP6bRboJmjrUJWFis8QP+dEUlXbK+ukFOCvB8d9wZyJa14R9kW0pIjTtGHHLOXtKBoBVvAHw8ToiwB7/TN65+2GLUjbfYEcnnWz4xXRQi2FpUG9RUDeGumNmxf2ZPeGamciCsyB3NW3FBLRdM9gfxB4+3caO38+l3akIceh2ZPfG0xgiQL9u5yRsq5eVUEIkG+hYrqbfYCcgD0+8H860c6j6a/Tsr66qkjC/BSC7fVUoYfaWoM5MwU5M4S1mBTTyyzNoMy4/Pb3DjqAv1urkKZZrxIH59hRLirTJ3U6S28mexP8Zp7xwa/8x6hIJ/U0cpQBOQ6vfVSq/xFRmVyjZJaCLlMSZ4A4P8y8imV9IPxcJMRjjA9h+allB8Dm0MbY2G2VnmvUR6HJSstfCsfwDsx5RGvJUnt4k9JTj7q4VNfX2EvX45E7FvJFZ+EiVq2kUAOQ9FMLTE4R8iYKY+dWIHCShzhI3VTe071pUydpDwJGiRqEKtFFgKzEjpgRfneU1Ya6vn70J9dcmRiIhz3VCMmFh6BWYkTfx14QV8vNormwZP4gieb0A2y0cMESD576YA7FC/Uiw78hKtTdGf2fS8+Aiei6p9MgoANfX3UiImXR+MDUCJTxrGSXaIhwtpBJ/boEG0xPi4vVvtADlMyDfi7jJcyOL9rxECIDqgtQe4TDl5tPCuW6JM1yrRCr0FlgPEdYGQgauWjDuTRmpHEzP5OI3mPGcSfNto3mDUpCcxkj50bMXgABeCOHmaQXHxf/d/7Ms2W5MXH9hUvZtJB9tH+jPVjq+/R8deHxrGIWTTOjLBKeJ4b0Ld4V12l9TxqVUdA7gFQOyDAJDApE2dliUs43lnhWcB7y2TFWecxgHllqYzPsV6zS37CgZc/GG11SqsnXjwYSDwi23Aszq8tAOf+/VZEdWgrxvjeNS726d1baiwijDO/yOx7f9bvEZDTgGaJ2irHb97sncXQgV72B0Tm+A+8spgsrsgsOhDvY9X6Cac8vrkyK4+ASCvV1rzQd78w8e+azkvrpeZz0j5X8oxuSWvy91vbVSMEUZB7k93vOTGt2AP07gwZ438KGLxpuuWJKD/hzJm4psigfKcnXuBNt82Iz5oTUsdwVaaWTafYPGXGLMCo/MqtXtRXEq1/tFwU5IrLUZGfhdhfk5vde9xSBzWWOKro84unOv9mK26oQP3at2deqr1d9fTEC3wKVOj8HUalr0T+JBxiyK+27ZLDDz3jkCyjDi1y9ZbDEmcBwm1HQU6FCvFo1Zi6iq/tePOm25Swkhemn+z4fsvsK2+dwEuLLsMDJFiwJ16CLK9azG8XaXjVyy9aBobAqdWQmXvsRNUuCa4Ncg/MOWatFMWRUYWvVlWWE6pCm5zggraccHriZVXkNjTGmMcxqnj5rghOQ7Wxoi0g12zN3oRBTqJM882RMbYWLeX3Z7tArhtaxhpHUT8xwoNdc0RijmEplHstJTwscYUSvGmyIVnpN0aKr/sJh/2m9xbDwyHubpvKy0W6uw3ZgxW2A+iEU2I8wh6TJDkYraHXMEhaQO5XxK09y+EODgWVzD+WkaZML8AhkAJ6HoQvnwPOGX73ThRkqOw5v6/Td4p/z/HMUgcxYgYD8fCvOhCXEw68EjZSOI1/L3l32xxeLsLdbWwPIfb5jAEiTwqX+SgECyT6RJcHDae1gNx7UDn8X4srtoJvrfLek+pXPAYslxEgaAagBziXPPAwoZFF5hXhlcXEQbJGqail7m7zvMMLyUeabODPTzjwwvlv/b703W1zeLkod7dpQUFXPP5q5TIES9kzo32JT7Nw0gJyGsL51kMcdEqnNasq/VSA+VJFyAxIwKLbXWr/s4d8C8hj1//8EclJ39UfJpQvGpH6yHbDWxu853ktf8dUXPLutjm8wCfPqd/dpnHBhFsDsLa9Y79PGds732kBOUridNKWCSCLC2CFCueC/BAsLnV321ze5LQ75bvb5spo9vtRkOsgxrm12HtMfLZQFq6gR5Ar1r9qvLaQ60W6uy06pLA2w3e3RSuNgrx05kTrz3KHuU99rlwJf+bdbXOleJj3w3e3RZuvgRxnzRuMfmCEQ6D0LEfrznKXJNDbSs5qwWGLvLutzxEavrstyn4N5D5ZpfTWRuvNco9KoCeQ591t/Y/M8N1t0a7UQK5D+zqAHj3IHm3zopXrCeTE1M+dddaDLpR/serJrB46XuFBsgjd3RbtQ3RPHq0vy10tgV5Anne39T86m+5ui3YnQR6V1PRyPYC85e626T2d9uYx3t02raf732q6u21/dZdKJMijkppWLnp327TaY2+13t0Wq7W91Knc3dbe8/gbTXe3RatNkEcl1V5u6t1t7S2NvzH37rYleTnFu9uWlE/z3W3RxhPkUUlluZTAkUogQX6kiku2UwJRCSTIo5LKcimBI5VAgvxIFZdspwSiEkiQRyWV5VICRyqBBPmRKi7ZTglEJZAgj0oqy6UEjlQC/wdz7ypkx53/JgAAAABJRU5ErkJggg==\" width=\"124.5\" height=\"27\" alt=\"y = c x1^a1 x2^a2 x3^a3 ...xn^an\" style=\"width: 124.5px; height: 27px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1917px 8px; transform-origin: 92.1917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, the relationship \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"75\" height=\"35\" alt=\"KE = (1/2)mv^2\" style=\"width: 75px; height: 35px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.2917px 8px; transform-origin: 39.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e would have \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.95px 8px; transform-origin: 26.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ec = 0.5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.65px 8px; transform-origin: 34.65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ea = [1 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147.267px 8px; transform-origin: 147.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes a vector of values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.875px 8px; transform-origin: 48.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ec\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.1167px 8px; transform-origin: 38.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, exponents \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93.7333px 8px; transform-origin: 93.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a vector of uncertainties \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21.5\" height=\"18\" alt=\"Deltax\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and returns the absolute uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACsAAAAkCAYAAAAQC8MVAAACiklEQVRYR+2YOywEURSGbU8kVBQUFCQKiXg0Cg2JVoKoVB6VioRCSUKp8KhEIZRKWiEejUKhoKCgQoSe/0/u2ZydvTNz72x27CYzyZ+dzNzHN/8999yTzdVU0ZWrItaaDLZcq5U5mzkLB5KGwSv6bkHr5XLRNm4S2GEMdAr9QHWVDnsFwH4DOYnf47SAfZ1tA9ijgnvAfWelwtLFUQNXm7a7Ps42AO4d2oO+oEUDe43fgTTc9YHdANA81G3AdDj04dltuYFdYenqM3QJjRgohsS4uT9Tz6OY5/ByCGqFWqAmqBH6UJ24L+4ghlnBBnaF5SSb0BhEMF690I2apB33T47uLqPdmmnLsJoNgS3YwK6wPAQYp8Gdr9NYcNI4bulry9c04gQ6hyZkIBdYNj4KLokZQN7JeMEljQLmam2bBgwtWTHpw4/Zh3Z8YNmp3uKqjEHXGXu8fNyV7MJ+DLEl9WWyRxjb+XiOc1bicgWdwuoA7ZDvESyh8IbxmxUsMw8N0rEcW8hwxw9CXfoLLWv7jWdySER9WLAroSRfSwjR1Xszb8GGjXJWjlaXpdWT+rgrRRE/QtKU1VU2iILdxfspiIdAXErS8acntixC0aNf84SmEJQ51jpnGKwE+GEwbiJm14eET4EjcctswDhlyrLujzBYSdoM/BcXe8xEHaqta/moQ4h1BgslfaLlhwyD1enIkbWomWuBo3N1ZI1hg9WpKCmo9HMpcGSTxW7kuDxbKqxLf5ozHbX8Msh/w0oNwFwel3FiDwUXZ5K2Yca5gBagYF1gHTNNZ7mReiDm708DehCWpmy0acJK8icHU6L3/w5pwtLRGYgpbdV16bXDacImje18vwy2ZAtDBvgDKr18JaDs8RkAAAAASUVORK5CYII=\" width=\"21.5\" height=\"18\" alt=\"Deltay\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.5667px 8px; transform-origin: 64.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, relative uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"37\" height=\"18.5\" alt=\"Deltay/y\" style=\"width: 37px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 190.308px 8px; transform-origin: 190.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the index of the variable that contributes the most to the uncertainty in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 330.225px 8px; transform-origin: 330.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement.  \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [dy,dyrel,i1] = uncertainty1(x,c,a,dx)\r\n%  dy    = uncertainty in y\r\n%  dyrel = relative uncertainty in y (i.e., dy/y)\r\n%  i1    = index of the variable that contributes most to the uncertainty\r\n%  x     = values of the independent variables\r\n%  c     = coefficient of the relationship\r\n%  a     = vector of exponents\r\n%  dx    = vector of uncertainties\r\n\r\n   dy = sqrt(sum((dydx*dx).^2));\r\n   dyrel = dy/y;\r\n   i1 = find(max(dy));\r\nend","test_suite":"%% Volume of a cylinder: V = (pi/4)*D^2*H\r\nD = 75;         %  Diameter (mm)\r\ndD = 3;         %  Diameter uncertainty (mm)\r\nH = 75;         %  Height (mm)\r\ndH = 3;         %  Height uncertainty (mm)\r\n[dV,dVrel,i1] = uncertainty1([D H],pi/4,[2 1],[dD dH]);\r\ndV_correct = 2.9636e+04;\r\ndVrel_correct = 0.0894;\r\ni1_correct = 1;\r\nassert(abs(dV-dV_correct)\u003c1)\r\nassert(abs(dVrel-dVrel_correct)\u003c1e-4)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Hydraulic conductivity from constant-head permeameter test: K = VL/TAd\r\nV  = 7.54e-5;         %  Volume (m3)\r\ndV = 1e-6;            %  Volume uncertainty (m3)\r\nL  = 0.1;             %  Length (m)\r\ndL = 1e-3;            %  Length uncertainty (m)\r\nT  = 1000;            %  Time (sec)\r\ndT = 1;               %  Time uncertainty (sec)\r\nA  = 1.2657e-3;       %  Area (m2)\r\ndA = 6.3e-5;          %  Area uncertainty (m2)\r\nd  = 0.05;            %  Head difference (m)\r\ndd = 1e-3;            %  Head difference uncertainty (m)\r\n[dK,dKrel,i1] = uncertainty1([V L T A d],1,[1 1 -1 -1 -1],[dV dL dT dA dd]);\r\ndK_correct = 6.691e-6;\r\ndKrel_correct = 0.0562;\r\ni1_correct = 4;\r\nassert(abs(dK-dK_correct)\u003c1e-9)\r\nassert(abs(dKrel-dKrel_correct)\u003c1e-4)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne  = 0.1;            %  Effective porosity\r\ndne = 0.02;           %  Effective porosity uncertainty \r\nL   = 20;             %  Length (m)\r\ndL  = 0.3;            %  Length uncertainty (m)\r\nK   = 0.5;            %  Hydraulic conductivity (m/d)\r\ndK  = 0.08;           %  Hydraulic conductivity uncertainty (m/d)\r\ndh  = 1.5;            %  Head difference (m)\r\nddh = 0.2;            %  Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 15.48;\r\ndTrel_correct = 0.290;\r\ni1_correct = 1;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne  = 0.1;            %  Effective porosity\r\ndne = 0.01;           %  Effective porosity uncertainty \r\nL   = 20;             %  Length (m)\r\ndL  = 0.3;            %  Length uncertainty (m)\r\nK   = 0.5;            %  Hydraulic conductivity (m/d)\r\ndK  = 0.08;           %  Hydraulic conductivity uncertainty (m/d)\r\ndh  = 1.5;            %  Head difference (m)\r\nddh = 0.2;            %  Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 12.43;\r\ndTrel_correct = 0.233;\r\ni1_correct = 3;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne  = 0.1;            %  Effective porosity\r\ndne = 0.01;           %  Effective porosity uncertainty \r\nL   = 20;             %  Length (m)\r\ndL  = 1.7;            %  Length uncertainty (m)\r\nK   = 0.5;            %  Hydraulic conductivity (m/d)\r\ndK  = 0.08;           %  Hydraulic conductivity uncertainty (m/d)\r\ndh  = 1.5;            %  Head difference (m)\r\nddh = 0.2;            %  Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 15.3;\r\ndTrel_correct = 0.287;\r\ni1_correct = 2;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Discharge by Manning's equation: Q = (1/n) R^(2/3) S0^(1/2) A = (1/n) A^(5/3) S0^(1/2)/P^(2/3)\r\nn   = 0.015;          %  Manning roughness coefficient\r\ndn  = 0.002;          %  Manning roughness coefficient uncertainty \r\nA   = 0.02;           %  Area (m2)\r\ndA  = 2e-3;           %  Area uncertainty (m2)\r\nP   = 0.04;           %  Wetted perimeter (m)\r\ndP  = 8e-3;           %  Wetted perimeter uncertainty (m)\r\nS0  = 0.01;           %  Slope (-)\r\ndS0 = 7e-4;           %  Slope uncertainty (-)\r\n[dQ,dQrel,i1] = uncertainty1([n A P S0],1,[-1 5/3 -2/3 1/2],[dn dA dP dS0]);\r\ndQ_correct = 2.13e-2;\r\ndQrel_correct = 0.254;\r\ni1_correct = 2;\r\nassert(abs(dQ-dQ_correct)\u003c1e-4)\r\nassert(abs(dQrel-dQrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Discharge by Manning's equation: Q = (1/n) R^(2/3) S0^(1/2) A = (1/n) A^(5/3) S0^(1/2)/P^(2/3)\r\nn   = 0.015;          %  Manning roughness coefficient\r\ndn  = 0.002;          %  Manning roughness coefficient uncertainty \r\nA   = 0.02;           %  Area (m2)\r\ndA  = 1e-3;           %  Area uncertainty (m2)\r\nP   = 0.04;           %  Wetted perimeter (m)\r\ndP  = 4e-3;           %  Wetted perimeter uncertainty (m)\r\nS0  = 0.01;           %  Slope (-)\r\ndS0 = 7e-4;           %  Slope uncertainty (-)\r\n[dQ,dQrel,i1] = uncertainty1([n A P S0],1,[-1 5/3 -2/3 1/2],[dn dA dP dS0]);\r\ndQ_correct = 1.46e-2;\r\ndQrel_correct = 0.174;\r\ni1_correct = 1;\r\nassert(abs(dQ-dQ_correct)\u003c1e-4)\r\nassert(abs(dQrel-dQrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-30T14:25:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-02T03:35:52.000Z","updated_at":"2026-02-10T14:38:18.000Z","published_at":"2023-09-02T03:35:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSuppose a variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e depends on \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e independent variables \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x3,...,xn\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_3,\\\\ldots, x_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If the independent variables have uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, etc. and the uncertainties are independent, then the uncertainty in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be estimated with \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay = sqrt(sum((dy/dxj Deltaxj)^2))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y = \\\\left[\\\\sum_{j = 1}^n \\\\left(\\\\frac{\\\\partial y}{\\\\partial x_j}\\\\Delta x_j\\\\right)^2\\\\right]^{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor this problem, the relationship between \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e will be power laws of the form\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y = c x1^a1 x2^a2 x3^a3 ...xn^an\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey = c x_1^{a_1} x_2^{a_2} x_3^{a_3}\\\\cdots x_n^{a_n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, the relationship \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"KE = (1/2)mv^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eKE = \\\\frac{1}{2} m v^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e would have \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ec = 0.5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea = [1 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes a vector of values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"c\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, exponents \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a vector of uncertainties \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and returns the absolute uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, relative uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay/y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y/y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the index of the variable that contributes the most to the uncertainty in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement.  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":57452,"title":"Design a well field in an infinite aquifer","description":"A well field provides water for a community. The design of a well field involves a goal to meet a specified service demand  (i.e., volume of water per time) with the constraint of lowering the water table by no more than , the maximum drawdown. Inputs to the design are properties of the aquifer (the hydraulic conductivity , the specific yield , and the initial saturated thickness ) and the radius  of the well. \r\nThe Gupta/Chin method for designing a well field has the following steps:\r\nCompute , an initial estimate of the pumping rate, such that the drawdown at one well (i.e., at a distance ) is . Compute the transmissivity to be . Evaluate the drawdown at a time  1 year. Realize that for small values of  the unconfined well function* can be approximated and compute the pumping rate from  where  and . \r\nCompute the number of wells by dividing the demand by the initial estimate of the pumping rate and rounding up to the nearest integer: \r\nSet the pumping rate to . \r\nArrange the wells so that they are equidistant from the central well.\r\nDetermine the distance  between the central well and others so that the total drawdown at the central well is . In other words, add the drawdown from the central well to the drawdown from the other wells. If , then \r\n            \r\n Write a function to design a well field using this method.\r\n\r\n\r\n*http://www.aqtesolv.com/neuman.htm","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 895.383px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 447.692px; transform-origin: 407px 447.692px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 87px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 43.5px; text-align: left; transform-origin: 384px 43.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.242px 8px; transform-origin: 375.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA well field provides water for a community. The design of a well field involves a goal to meet a specified service demand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q_d\" style=\"width: 19.5px; height: 20px;\" width=\"19.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 292.875px 8px; transform-origin: 292.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (i.e., volume of water per time) with the constraint of lowering the water table by no more than \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s_max\" style=\"width: 25.5px; height: 20px;\" width=\"25.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 47.8333px 8px; transform-origin: 47.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the maximum drawdown. Inputs to the design are properties of the aquifer (the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.175px 8px; transform-origin: 57.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the specific yield \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"S_y\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.1667px 8px; transform-origin: 29.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the initial saturated thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.5667px 8px; transform-origin: 50.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) and the radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"r_w\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 37.3333px 8px; transform-origin: 37.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the well. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 226.008px 8px; transform-origin: 226.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Gupta/Chin method for designing a well field has the following steps:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 231.783px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 115.892px; transform-origin: 391px 115.892px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 104.05px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 52.025px; text-align: left; transform-origin: 363px 52.025px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 30.3417px 8px; transform-origin: 30.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q_w\" style=\"width: 20.5px; height: 20px;\" width=\"20.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 292.492px 8px; transform-origin: 292.492px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, an initial estimate of the pumping rate, such that the drawdown at one well (i.e., at a distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"r = r_w\" style=\"width: 40.5px; height: 20px;\" width=\"40.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.56667px 8px; transform-origin: 9.56667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s_max/2\" style=\"width: 40.5px; height: 20px;\" width=\"40.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 107.342px 8px; transform-origin: 107.342px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Compute the transmissivity to be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"T = K(b-s_{max}/2)\" style=\"width: 116.5px; height: 20px;\" width=\"116.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 107.35px 8px; transform-origin: 107.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Evaluate the drawdown at a time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"t = \" style=\"width: 22px; height: 18px;\" width=\"22\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.175px 8px; transform-origin: 50.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 1 year. Realize that for small values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"u = S_y r^2/4Tt\" style=\"width: 81.5px; height: 21px;\" width=\"81.5\" height=\"21\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 243.133px 8px; transform-origin: 243.133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e the unconfined well function* can be approximated and compute the pumping rate from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s_max/2 = (Q_w/4 pi T) W(u_w)\" style=\"width: 111.5px; height: 38px;\" width=\"111.5\" height=\"38\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 22.95px 8px; transform-origin: 22.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"W(u) = integral(exp(-x)/x,{x,0,infinity})\" style=\"width: 112px; height: 35.5px;\" width=\"112\" height=\"35.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-8px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"u_w = S_y r_w^2/4Tt\" style=\"width: 89.5px; height: 22px;\" width=\"89.5\" height=\"22\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 42.15px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 21.075px; text-align: left; transform-origin: 363px 21.075px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 356.708px 8px; transform-origin: 356.708px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute the number of wells by dividing the demand by the initial estimate of the pumping rate and rounding up to the nearest integer: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"ceil(Q_d/Q_w)\" style=\"width: 88.5px; height: 20px;\" width=\"88.5\" height=\"20\"\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.7167px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.8583px; text-align: left; transform-origin: 363px 10.8583px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 74.675px 8px; transform-origin: 74.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSet the pumping rate to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q_0 = Q_d/N\" style=\"width: 73.5px; height: 20px;\" width=\"73.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 206.542px 8px; transform-origin: 206.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eArrange the wells so that they are equidistant from the central well.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 43.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 21.7167px; text-align: left; transform-origin: 363px 21.7167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 73.9083px 8px; transform-origin: 73.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDetermine the distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 261px 8px; transform-origin: 261px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e between the central well and others so that the total drawdown at the central well is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s_max\" style=\"width: 25.5px; height: 20px;\" width=\"25.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. In other words, add the drawdown from the central well to the drawdown from the other wells. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"u_R = S_y R^2/4Tt\" style=\"width: 91px; height: 21px;\" width=\"91\" height=\"21\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 19.4417px 8px; transform-origin: 19.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, then \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e\u003cdiv style=\"block-size: 37.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.95px; text-align: left; transform-origin: 384px 18.95px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.3px 8px; transform-origin: 23.3px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 227px; height: 38px;\" width=\"227\" height=\"38\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 174.133px 8px; transform-origin: 174.133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Write a function to design a well field using this method.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 379.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 189.85px; text-align: left; transform-origin: 384px 189.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 389px;height: 374px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"389\" height=\"374\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 118.5px 8px; transform-origin: 118.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e*http://www.aqtesolv.com/neuman.htm\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [N,Q0,R] = wellfield1(Qd,smax,rw,K,Sy,b)\r\n  % Q0 = pumping rate (m3/d)\r\n  % N = number of wells\r\n  % R = distance between central well and other wells (m)\r\n  N = randi(10);\r\n  Q0 = round(Qd/N,'up');\r\n  R = b;\r\nend","test_suite":"%%\r\nQd   = 7000;          %  Demand (m3/d)\r\nsmax = 3;             %  Maximum drawdown (m)\r\nK    = 50;            %  Hydraulic conductivity (m/d)\r\nSy   = 0.2;           %  Specific yield \r\nb    = 30;            %  Initial saturated thickness (m)\r\nrw   = 0.3;           %  Radius of the well (m)\r\n[N,Q0,R] = wellfield1(Qd,smax,rw,K,Sy,b);\r\nQ0_correct = 1400;\r\nN_correct = 5;\r\nR_correct = 189.4;\r\nassert(abs(Q0-Q0_correct)\u003c1e-1)\r\nassert(isequal(N,N_correct))\r\nassert(abs(R-R_correct)\u003c1e-1)\r\n\r\n%%\r\nQd   = 6000;          %  Demand (m3/d)\r\nsmax = 2.5;           %  Maximum drawdown (m)\r\nK    = 60;            %  Hydraulic conductivity (m/d)\r\nSy   = 0.22;          %  Specific yield \r\nb    = 20;            %  Initial saturated thickness (m)\r\nrw   = 0.25;          %  Radius of the well (m)\r\n[N,Q0,R] = wellfield1(Qd,smax,rw,K,Sy,b);\r\nQ0_correct = 857.1;\r\nN_correct = 7;\r\nR_correct = 297.6;\r\nassert(abs(Q0-Q0_correct)\u003c1e-1)\r\nassert(isequal(N,N_correct))\r\nassert(abs(R-R_correct)\u003c1e-1)\r\n\r\n%%\r\nQd   = 10000;         %  Demand (m3/d)\r\nsmax = 4;             %  Maximum drawdown (m)\r\nK    = 80;            %  Hydraulic conductivity (m/d)\r\nSy   = 0.18;          %  Specific yield \r\nb    = 25;            %  Initial saturated thickness (m)\r\nrw   = 0.4;           %  Radius of the well (m)\r\n[N,Q0,R] = wellfield1(Qd,smax,rw,K,Sy,b);\r\nQ0_correct = 2500;\r\nN_correct = 4;\r\nR_correct = 117.6;\r\nassert(abs(Q0-Q0_correct)\u003c1e-1)\r\nassert(isequal(N,N_correct))\r\nassert(abs(R-R_correct)\u003c1e-1)\r\n\r\n%%\r\nQd   = 12000;         %  Demand (m3/d)\r\nsmax = 3;             %  Maximum drawdown (m)\r\nK    = 140;           %  Hydraulic conductivity (m/d)\r\nSy   = 0.2;           %  Specific yield \r\nb    = 25;            %  Initial saturated thickness (m)\r\nrw   = 0.4;           %  Radius of the well (m)\r\n[N,Q0,R] = wellfield1(Qd,smax,rw,K,Sy,b);\r\nQ0_correct = 3000;\r\nN_correct = 4;\r\nR_correct = 78.2;\r\nassert(abs(Q0-Q0_correct)\u003c1e-1)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2022-12-23T22:33:37.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-12-23T00:54:17.000Z","updated_at":"2026-02-12T15:43:55.000Z","published_at":"2022-12-23T00:58:29.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA well field provides water for a community. The design of a well field involves a goal to meet a specified service demand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q_d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_d\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (i.e., volume of water per time) with the constraint of lowering the water table by no more than \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s_max\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{max}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the maximum drawdown. Inputs to the design are properties of the aquifer (the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the specific yield \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S_y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the initial saturated thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) and the radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r_w\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the well. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Gupta/Chin method for designing a well field has the following steps:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q_w\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, an initial estimate of the pumping rate, such that the drawdown at one well (i.e., at a distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r = r_w\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er = r_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s_max/2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{max}/2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Compute the transmissivity to be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T = K(b-s_{max}/2)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT = K(b-s_{max}/2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Evaluate the drawdown at a time \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"t = \\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003et =\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e 1 year. Realize that for small values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"u = S_y r^2/4Tt\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eu = S_y r^2/4Tt\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e the unconfined well function* can be approximated and compute the pumping rate from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s_max/2 = (Q_w/4 pi T) W(u_w)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{s_{max}}{2} = \\\\frac{Q_w}{4\\\\pi T} W(u_w)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"W(u) = integral(exp(-x)/x,{x,0,infinity})\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eW(u) = \\\\int_u^\\\\infty \\\\frac{e^{-x}}{x} dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"u_w = S_y r_w^2/4Tt\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eu_w = S_y r_w^2/4 T t\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute the number of wells by dividing the demand by the initial estimate of the pumping rate and rounding up to the nearest integer: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ceil(Q_d/Q_w)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eN = \\\\lceil Q_d/Q_w\\\\rceil\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSet the pumping rate to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q_0 = Q_d/N\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0 = Q_d/N\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eArrange the wells so that they are equidistant from the central well.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDetermine the distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e between the central well and others so that the total drawdown at the central well is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s_max\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{max}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. In other words, add the drawdown from the central well to the drawdown from the other wells. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"u_R = S_y R^2/4Tt\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eu_R = S_y R^2/4Tt\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, then \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{max} = \\\\frac{Q_0}{4\\\\pi T}\\\\left[W(u_w) + (N-1) W(u_R)\\\\right]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e Write a function to design a well field using this method.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"374\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"389\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e*http://www.aqtesolv.com/neuman.htm\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58966,"title":"Compute the head for steady 1D flow in a homogeneous aquifer","description":"Problem statement\r\nWrite a function that computes the head  (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations . The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length  of the aquifer, hydraulic conductivity , aquifer thickness  (set to [] for unconfined aquifers), width , and a vector BC, which contains two of three of the head  at , the head  at , and the flow . The function should also return the flow.\r\nBackground\r\nThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\r\n\r\nwhere  is the flow area. For a confined aquifer, the flow area is , whereas for an unconfined aquifer .\r\nThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 738.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 369.25px; transform-origin: 407px 369.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 125.5px 8px; transform-origin: 125.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 247.392px 8px; transform-origin: 247.392px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175.433px 8px; transform-origin: 175.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.742px 8px; transform-origin: 114.742px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the aquifer, hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27.225px 8px; transform-origin: 27.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, aquifer thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (set to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 97.6333px 8px; transform-origin: 97.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for unconfined aquifers), width \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ew\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.3333px 8px; transform-origin: 44.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eBC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 127.183px 8px; transform-origin: 127.183px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which contains two of three of the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.0583px 8px; transform-origin: 33.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 43.5583px 8px; transform-origin: 43.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 127.575px 8px; transform-origin: 127.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The function should also return the flow.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381.442px 8px; transform-origin: 381.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"85\" height=\"35\" style=\"width: 85px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 173.467px 8px; transform-origin: 173.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area. For a confined aquifer, the flow area is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"49.5\" height=\"18\" style=\"width: 49.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 111.642px 8px; transform-origin: 111.642px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, whereas for an unconfined aquifer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"50\" height=\"18\" style=\"width: 50px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 365.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 182.85px; text-align: left; transform-origin: 384px 182.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"640\" height=\"360\" style=\"vertical-align: baseline;width: 640px;height: 360px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,Q] = homogAq(x,confined,L,K,b,w,BC)\r\n% h = head at position x\r\n% Q = flow\r\n% x = position at which head is requested\r\n% L = length of aquifer\r\n% K = hydraulic conductivity\r\n% b = thickness of confined aquifer ([] if unconfined)\r\n% w = width of aquifer\r\n% BC = [h0 hL Q]--one of which is NaN\r\n\r\n  h = conservation of mass + Darcy's law;\r\n  Q = -K*dhdx*A\r\nend","test_suite":"%%  Confined, boundary heads specified\r\nK = 0.5;                %  Hydraulic conductivity (m/d)\r\nL = 24;                 %  Length (m)\r\nb = 2.5;                %  Thickness (m)\r\nw = 400;                %  Width (m)\r\nBC = [4 2.5 NaN];       %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 12;                 %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = 3.25;\r\nQ_correct = 31.25;\r\nassert(abs(h-h_correct)\u003c1e-4)\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Confined, head at x = 0 and flow specified\r\nK = 8;                  %  Hydraulic conductivity (m/d)\r\nL = 2300;               %  Length (m)\r\nb = 31;                 %  Thickness (m)\r\nw = 1800;               %  Width (m)\r\nBC = [45 NaN 892.8];    %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = [800 1800];         %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [43.4 41.4];\r\nQ_correct = 892.8;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Confined, head at x = L and flow specified\r\nK = 0.04;               %  Hydraulic conductivity (m/d)\r\nL = 1850;               %  Length (m)\r\nb = 25;                 %  Thickness (m)\r\nw = 1400;               %  Width (m)\r\nBC = [NaN 133 28];      %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 300:300:1800;       %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [164 158 152 146 140 134];\r\nQ_correct = 28;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Unconfined, boundary heads specified\r\nK = 0.5;                %  Hydraulic conductivity (m/d)\r\nL = 24;                 %  Length (m)\r\nw = 400;                %  Width (m)\r\nBC = [4 2.5 NaN];       %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 12;                 %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = 3.3354;\r\nQ_correct = 40.625;\r\nassert(abs(h-h_correct)\u003c1e-4)\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Unconfined, head at x = 0 and flow specified\r\nK = 8;                  %  Hydraulic conductivity (m/d)\r\nL = 2300;               %  Length (m)\r\nw = 1800;               %  Width (m)\r\nBC = [45 NaN 892.8];    %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = [800 1800];         %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [43.8839 42.4476];\r\nQ_correct = 892.8;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Unconfined, head at x = L and flow specified\r\nK = 0.04;               %  Hydraulic conductivity (m/d)\r\nL = 1850;               %  Length (m)\r\nw = 1400;               %  Width (m)\r\nBC = [NaN 133 28];      %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 300:300:1800;       %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [138.7047 137.6190 136.5247 135.4216 134.3093 133.1878];\r\nQ_correct = 28;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Confined, random selection of boundary conditions\r\nK = 2.3;                %  Hydraulic conductivity (m/d)\r\nL = 2000;               %  Length (m)\r\nb = 34;                 %  Thickness (m)\r\nw = 1650;               %  Width (m)\r\nBC = [54 51 193.545];   %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 400:400:1600;       %  Position in aquifer (m)\r\nk = randi(3);\r\nBC(k) = NaN;\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [53.4 52.8 52.2 51.6];\r\nQ_correct = 193.545;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(all(abs(Q-Q_correct)\u003c1e-4))\r\n\r\n%%  Unconfined, random selection of boundary conditions\r\nK = 2.3;                %  Hydraulic conductivity (m/d)\r\nL = 2000;               %  Length (m)\r\nw = 1650;               %  Width (m)\r\nBC = [54 51 298.85625]; %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 400:400:1600;       %  Position in aquifer (m)\r\nk = randi(3);\r\nBC(k) = NaN;\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [53.4135 52.8205 52.2207 51.6140];\r\nQ_correct = 298.85625;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(all(abs(Q-Q_correct)\u003c1e-4))","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-09T15:47:31.000Z","deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2023-09-09T15:42:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-09T15:33:16.000Z","updated_at":"2026-02-10T14:45:49.000Z","published_at":"2023-09-09T15:42:41.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the aquifer, hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, aquifer thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (set to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e for unconfined aquifers), width \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ew\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a vector \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, which contains two of three of the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The function should also return the flow.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area. For a confined aquifer, the flow area is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA = bw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, whereas for an unconfined aquifer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA = hw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"360\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"640\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58997,"title":"Compute the water table elevation in an unconfined aquifer with recharge","description":"Problem statement\r\nWrite a function to compute the water table elevation  above the bottom of the aquifer and the position of a groundwater divide  given the water table elevations  at ,  at , hydraulic conductivity , and recharge rate . If there is no groundwater divide, set xd to the empty set []. \r\nBackground\r\nAs in other problems in this series, the movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\r\n\r\nwhere  is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position  is \r\n\r\nwhere  is the (unknown) flow at . Using Darcy’s law to replace  provides a differential equation that can be integrated using the water table elevations at the boundaries to determine  and a constant of integration.\r\nUnlike the flows in Cody Problem 58966, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 838.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 419.25px; transform-origin: 407px 419.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 164.792px 8px; transform-origin: 164.792px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the water table elevation \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.542px 8px; transform-origin: 206.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e above the bottom of the aquifer and the position of a groundwater divide \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" alt=\"xd\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 101.917px 8px; transform-origin: 101.917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e given the water table elevations \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAACRUlEQVRYR+1WuUoEQRTczY00MlLQQNHAxANEERGNTD1+wCMwVNDAUEExMPKIBY/MUFNBPDAQFAw0EEQjTTTXKugHr3tnpmd2e3cRtqFolunt6n5V773O56o48lXkztXIqxL9fxP2FhOel1BhSrr5KEhGgEGgA6gDNoGlSpCTox44BHgQjjHgvFLk5DkGJoAPoBP4qiT5O8gazY1582DD5/ZuMN0YtnnMu8GYsZGPfBlr1gxhK+ZgTueePvIzY7YnzP0h9U5D/o1FTLF9YNZEgM7fBtqAH2AYuC1GDl+e8+YcUwBdvweMAwcAPcCDXQN9ock3sOGiuV0T5h1DsIKZ2ksWlIX8CgS95manmIeAaYB5rrNAS5IpAHFhZ2X7NDudYB4wELfrLBBJMhFzcRz5JL4dqd3csipZQMNREl31eHCRiFvw+wJQYMo4chprxpBHhVWywNWbxK/ApZJIotTjHiCOXMzEm3UBurhovWm+dRUh6QNupHjYN6BdaxNFzr79rPSmBHrEVT3tkwZHCjGvdago8jmlWVQLFb0l5IwE+/4dwG+shtYN8VvS1pIwitzXQkVvhpzeeACYDayArAtJ5JZHoshlcz4a3Baq9eZGHKsA18rtksitby65r4XSDxcA+zvJhZiHKJnc8Vamn2LEom+eic1ZzG5XsuFKOcCv+bMrp6SaVYp9j4msB0kqMjSy9QANTS7l9RFE0uPFCwUNKDQ5I8WM4LuPDeUeaAa2TDpakSwHeWqpauSpQxVyYS3sIaOZeq8/pdSJKRBBS50AAAAASUVORK5CYII=\" width=\"15.5\" height=\"20\" alt=\"h0\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x  = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"hL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.35px 8px; transform-origin: 72.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.0667px 8px; transform-origin: 61.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and recharge rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"12\" height=\"20\" alt=\"i0\" style=\"width: 12px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27.6px 8px; transform-origin: 27.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If there is no groundwater divide, set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003exd\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.6583px 8px; transform-origin: 53.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the empty set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35.3917px 8px; transform-origin: 35.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs in other \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eproblems\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ein\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56205\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ethis\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eseries\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 264.883px 8px; transform-origin: 264.883px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"91.5\" height=\"35\" alt=\"Q = -K(dh/dx)hw\" style=\"width: 91.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ew\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 333.967px 8px; transform-origin: 333.967px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 8px; transform-origin: 8.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"91\" height=\"20\" alt=\"Q = Q0 + i0 w x\" style=\"width: 91px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 44px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22px; text-align: left; transform-origin: 384px 22px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.4px 8px; transform-origin: 77.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the (unknown) flow at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94px 8px; transform-origin: 94px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Using Darcy’s law to replace \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 135.633px 8px; transform-origin: 135.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e provides a differential equation that can be integrated using the water table elevations at the boundaries to determine \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1833px 8px; transform-origin: 92.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and a constant of integration.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.35px 8px; transform-origin: 58.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUnlike the flows in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 233.383px 8px; transform-origin: 233.383px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 403.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 201.85px; text-align: left; transform-origin: 384px 201.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"586\" height=\"398\" style=\"vertical-align: baseline;width: 586px;height: 398px\" src=\"data:image/png;base64,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\" alt=\"Unconfined aquifer with recharge\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0)\r\n  h = (h0+hL)/2;\r\n  xd = x;\r\nend","test_suite":"%%\r\nL = 10;                                       %  Length (m)    \r\nx = L/2;                                      %  Position where WTE is desired (m)\r\nh0 = 19.11;                                   %  Water table elevation at x = 0 (m)\r\nhL = 19.11;                                   %  Water table elevation at x = L (m)\r\nK = 5e-7;                                     %  Hydraulic conductivity (m/s)\r\ni0 = 6.9e-8;                                  %  Recharge rate (m/s)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = 19.2;\r\nxd_correct = 5;\r\nassert(abs(h-h_correct)\u003c1e-3)\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 1200;                                       %  Length (m)                                                   \r\nx = 0:300:1200;                                 %  Positions where WTE is desired (m)\r\nh0 = 25;                                        %  Water table elevation at x = 0 (m)\r\nhL = 23;                                        %  Water table elevation at x = L (m)\r\nK = 4;                                          %  Hydraulic conductivity (m/d)\r\ni0 = 2e-4;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [25.000 24.789 24.393 23.801 23.000];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 1200;                                       %  Length (m)                                                   \r\nx = 0:300:1200;                                 %  Positions where WTE is desired (m)\r\nh0 = 25;                                        %  Water table elevation at x = 0 (m)\r\nhL = 23;                                        %  Water table elevation at x = L (m)\r\nK = 4;                                          %  Hydraulic conductivity (m/d)\r\ni0 = 8e-4;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [25.000 25.593 25.475 24.637 23.000];\r\nxd_correct = 400;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 2500;                                       %  Length (m)                                                   \r\nx = [100 200 300 700 1200 1800 2400];           %  Positions where WTE is desired (m)\r\nh0 = 35;                                        %  Water table elevation at x = 0 (m)\r\nhL = 33.5;                                      %  Water table elevation at x = L (m)\r\nK = 50;                                         %  Hydraulic conductivity (m/d)\r\ni0 = 1e-3;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [35.010 35.014 35.012 34.949 34.74 34.296 33.633];\r\nxd_correct = 222.5;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 2500;                                       %  Length (m)                                                   \r\nx = [100 200 300 700 1200 1800 2400];           %  Positions where WTE is desired (m)\r\nh0 = 35;                                        %  Water table elevation at x = 0 (m)\r\nhL = 33.5;                                      %  Water table elevation at x = L (m)\r\nK = 60;                                         %  Hydraulic conductivity (m/d)\r\ni0 = 1e-3;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [34.998 34.992 34.981 34.889 34.665 34.235 33.621];\r\nxd_correct = 17;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 20;                                         %  Length (m)                                                   \r\nx = 0:4:20;                                     %  Positions where WTE is desired (m)\r\nh0 = 5;                                         %  Water table elevation at x = 0 (m)\r\nhL = 3.5;                                       %  Water table elevation at x = L (m)\r\nK = 0.5;                                        %  Hydraulic conductivity (m/d)\r\ni0 = 1e-3;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [5 4.752 4.482 4.188 3.864 3.5];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 20;                                         %  Length (m)                                                   \r\nx = 0:4:20;                                     %  Positions where WTE is desired (m)\r\nh0 = 5;                                         %  Water table elevation at x = 0 (m)\r\nhL = 3.5;                                       %  Water table elevation at x = L (m)\r\nK = 0.1;                                        %  Hydraulic conductivity (m/d)\r\ni0 = 5e-3;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [5 5.065 4.97 4.706 4.243 3.5];\r\nxd_correct = 3.625;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 1000*rand;                                  %  Length (m)                                                   \r\nx = L/17;                                       %  Positions where WTE is desired (m)\r\nh0 = randi(100);                                %  Water table elevation at x = 0 (m)\r\nhL = h0;                                        %  Water table elevation at x = L (m)\r\nK = 5;                                          %  Hydraulic conductivity (m/d)\r\ni0 = 5e-3;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nassert(abs(xd-L/2)\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('unconfWithRecharge.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-23T13:56:40.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-23T01:49:39.000Z","updated_at":"2026-02-12T13:52:11.000Z","published_at":"2023-09-23T01:49:48.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the water table elevation \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e above the bottom of the aquifer and the position of a groundwater divide \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xd\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_d\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e given the water table elevations \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x  = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and recharge rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"i0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If there is no groundwater divide, set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exd\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to the empty set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs in other \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eproblems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ein\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56205\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethis\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eseries\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)hw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}hw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"w\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ew\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = Q0 + i0 w x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = Q_0 + i_0 w x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the (unknown) flow at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Using Darcy’s law to replace \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e provides a differential equation that can be integrated using the water table elevations at the boundaries to determine \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and a constant of integration.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUnlike the flows in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"398\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"586\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Unconfined aquifer with recharge\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59109,"title":"Check a scheme to dewater a construction area","description":"In addition to supplying water and capturing contaminants, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation  at least a value  over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than . \r\nThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\r\n\r\nwhere  is the hydraulic conductivity,  is the pumping rate of the th well,  is the radius of influence, and  is the distance from the th well to the point in question. \r\nWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 825.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 412.8px; transform-origin: 407px 412.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 65px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32.5px; text-align: left; transform-origin: 384px 32.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.0083px 8px; transform-origin: 42.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn addition to \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/57452\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003esupplying water\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59104\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ecapturing contaminants\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 205.442px 8px; transform-origin: 205.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.95px 8px; transform-origin: 50.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at least a value \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24\" height=\"20\" alt=\"smin\" style=\"width: 24px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.2917px 8px; transform-origin: 67.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"87\" height=\"20\" alt=\"hmax = H - smin\" style=\"width: 87px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.417px 8px; transform-origin: 373.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 48.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 24.45px; text-align: left; transform-origin: 384px 24.45px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"190.5\" height=\"49\" alt=\"h = sqrt(H^2 - (1/(pi K) sum(Qj ln(R/rj))\" style=\"width: 190.5px; height: 49px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.5px 8px; transform-origin: 90.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the hydraulic conductivity, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Qj\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8417px 8px; transform-origin: 82.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the pumping rate of the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ej\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.725px 8px; transform-origin: 23.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth well, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.9083px 8px; transform-origin: 94.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the radius of influence, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14\" height=\"20\" alt=\"rj\" style=\"width: 14px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 20.6083px 8px; transform-origin: 20.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the distance from the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ej\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.075px 8px; transform-origin: 96.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth well to the point in question. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 379.117px 8px; transform-origin: 379.117px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 476.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 238.35px; text-align: left; transform-origin: 384px 238.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"614\" height=\"471\" style=\"vertical-align: baseline;width: 614px;height: 471px\" src=\"data:image/png;base64,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\" alt=\"dewatering scheme\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin)\r\n% tf = true if well system achieves minimum drawdown everywhere, false otherwise\r\n% smin1 = min drawdown achieved\r\n% xmin, ymin = coordinates of the minimum drawdown\r\n% xw, yw = coordinates of the wells\r\n% Q0 = common pumping rate OR vector of pumping rates\r\n% R = radius of influence\r\n% Lx = length of construction area\r\n% Ly = width of construction area\r\n% K = hydraulic conductivity\r\n% H = initial elevation of the water table\r\n% smin = minimum drawdown required\r\n\r\n   h = sqrt(H^2-Q*Lx/K*Ly);\r\n   tf = all(H-h\u003csmin);\r\n   [smin1,[xmin ymin]] = max(H-h);","test_suite":"%% Prep assignment--modified\r\nxw   = -50;                     %  x-coordinates of the wells (m)\r\nyw   = 0;                       %  y-coordinates of the wells (m)\r\nQ0   = 661.6;                   %  Pumping rates (m3/d)\r\nR    = 450;                     %  Radius of influence (m)\r\nLx   = 250;                     %  Length of construction area (m)\r\nLy   = 100;                     %  Width of construction area (m)\r\nK    = 0.1;                     %  Hydraulic conductivity (m/d)\r\nH    = 85;                      %  Initial saturated thickness (m)\r\nsmin = 5;                       %  Minimum drawdown (m)\r\ntf = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nassert(tf)\r\n\r\n%% Fall 2020, exam 2, problem 4a\r\nxw   = [0 200 400];             %  x-coordinates of the wells (m)\r\nyw   = [-125 125 -125];         %  y-coordinates of the wells (m)\r\nQ0   = 1331.2;                  %  Pumping rates (m3/d)\r\nR    = 750;                     %  Radius of influence (m)\r\nLx   = 400;                     %  Length of construction area (m)\r\nLy   = 200;                     %  Width of construction area (m)\r\nK    = 3;                       %  Hydraulic conductivity (m/d)\r\nH    = 45;                      %  Initial saturated thickness (m)\r\nsmin = 5;                       %  Minimum drawdown (m)\r\ntf = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nassert(tf)\r\n\r\n%% Fall 2020, exam 2, problem 4c--with pumping rate from part a\r\nxw   = [0 200 400 1000];        %  x-coordinates of the wells (m)\r\nyw   = [-125 125 -125 -125];    %  y-coordinates of the wells (m)\r\nQ0   = 1331.2*[1 1 1 -1];       %  Pumping rates (m3/d)\r\nR    = 750;                     %  Radius of influence (m)\r\nLx   = 400;                     %  Length of construction area (m)\r\nLy   = 200;                     %  Width of construction area (m)\r\nK    = 3;                       %  Hydraulic conductivity (m/d)\r\nH    = 45;                      %  Initial saturated thickness (m)\r\nsmin = 5;                       %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 100;\r\nsmin1_correct = 4.723;\r\nassert(~tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% Fall 2020, exam 2, problem 4c--with higher pumping rate\r\nxw   = [0 200 400 1000];        %  x-coordinates of the wells (m)\r\nyw   = [-125 125 -125 -125];    %  y-coordinates of the wells (m)\r\nQ0   = 1410*[1 1 1 -1];         %  Pumping rates (m3/d)\r\nR    = 750;                     %  Radius of influence (m)\r\nLx   = 400;                     %  Length of construction area (m)\r\nLy   = 200;                     %  Width of construction area (m)\r\nK    = 3;                       %  Hydraulic conductivity (m/d)\r\nH    = 45;                      %  Initial saturated thickness (m)\r\nsmin = 5;                       %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 100;\r\nsmin1_correct = 5.02;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% Fall 2022, exam 2, problem 2\r\nxw   = [100 100 700 700];       %  x-coordinates of the wells (m)\r\nyw   = [-200 200 -200 200];     %  y-coordinates of the wells (m)\r\nQ0   = 944*[1 1 -1 -1];         %  Pumping rates (m3/d)\r\nR    = 650;                     %  Radius of influence (m)\r\nLx   = 200;                     %  Length of construction area (m)\r\nLy   = 300;                     %  Width of construction area (m)\r\nK    = 2;                       %  Hydraulic conductivity (m/d)\r\nH    = 35;                      %  Initial saturated thickness (m)\r\nsmin = 4;                       %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 200;\r\nymin_correct = 0;\r\nsmin1_correct = 4.001;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw   = [-50 135 450 210];       %  x-coordinates of the wells (m)\r\nyw   = [-80 200 135 -200];      %  y-coordinates of the wells (m)\r\nQ0   = 640;                     %  Pumping rates (m3/d)\r\nR    = 910;                     %  Radius of influence (m)\r\nLx   = 400;                     %  Length of construction area (m)\r\nLy   = 300;                     %  Width of construction area (m)\r\nK    = 0.8;                     %  Hydraulic conductivity (m/d)\r\nH    = 90;                      %  Initial saturated thickness (m)\r\nsmin = 6;                       %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = -150;\r\nsmin1_correct = 6;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw   = [-50 135 450 210];       %  x-coordinates of the wells (m)\r\nyw   = [-80 200 -50 -200];      %  y-coordinates of the wells (m)\r\nQ0   = 638;                     %  Pumping rates (m3/d)\r\nR    = 910;                     %  Radius of influence (m)\r\nLx   = 400;                     %  Length of construction area (m)\r\nLy   = 300;                     %  Width of construction area (m)\r\nK    = 0.8;                     %  Hydraulic conductivity (m/d)\r\nH    = 90;                      %  Initial saturated thickness (m)\r\nsmin = 6;                       %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 150;\r\nsmin1_correct = 6;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw   = [-50 -50 100 200 300 450 450  100  200  300];      %  x-coordinates of the wells (m)\r\nyw   = [-75  75 200 200 200 -75  75 -200 -200 -200];      %  y-coordinates of the wells (m)\r\nQ0   = 200;                                               %  Pumping rates (m3/d)\r\nR    = 910;                                               %  Radius of influence (m)\r\nLx   = 400;                                               %  Length of construction area (m)\r\nLy   = 300;                                               %  Width of construction area (m)\r\nK    = 0.8;                                               %  Hydraulic conductivity (m/d)\r\nH    = 90;                                                %  Initial saturated thickness (m)\r\nsmin = 6;                                                 %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 5.5;\r\nassert(~tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3 \u0026\u0026 abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw   = [-50 -50  50 200 350 450 450   50  200  350];      %  x-coordinates of the wells (m)\r\nyw   = [-75  75 200 200 200 -75  75 -200 -200 -200];      %  y-coordinates of the wells (m)\r\nQ0   = 200;                                               %  Pumping rates (m3/d)\r\nR    = 910;                                               %  Radius of influence (m)\r\nLx   = 400;                                               %  Length of construction area (m)\r\nLy   = 300;                                               %  Width of construction area (m)\r\nK    = 0.8;                                               %  Hydraulic conductivity (m/d)\r\nH    = 90;                                                %  Initial saturated thickness (m)\r\nsmin = 6;                                                 %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 5.62;\r\nassert(~tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3 \u0026\u0026 abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw   = [-50 -50   0 200 400 450 450    0  200  400];      %  x-coordinates of the wells (m)\r\nyw   = [-75  75 200 200 200 -75  75 -200 -200 -200];      %  y-coordinates of the wells (m)\r\nQ0   = 200;                                               %  Pumping rates (m3/d)\r\nR    = 910;                                               %  Radius of influence (m)\r\nLx   = 400;                                               %  Length of construction area (m)\r\nLy   = 300;                                               %  Width of construction area (m)\r\nK    = 0.8;                                               %  Hydraulic conductivity (m/d)\r\nH    = 90;                                                %  Initial saturated thickness (m)\r\nsmin = 6;                                                 %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 82.4;\r\nymin_correct = 150;\r\nsmin1_correct = 5.66;\r\nassert(~tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-2 || abs(Lx-xmin-xmin_correct)/xmin_correct\u003c1e-2)\r\nassert(abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxL   = 80:80:320;\r\nyL   = 200*ones(1,4);\r\nxw   = [-50 -50 xL 450 450  xL];     %  x-coordinates of the wells (m)\r\nyw   = [-75  75 yL -75  75 -yL];     %  y-coordinates of the wells (m)\r\nQ0   = 200;                          %  Pumping rates (m3/d)\r\nR    = 910;                          %  Radius of influence (m)\r\nLx   = 400;                          %  Length of construction area (m)\r\nLy   = 300;                          %  Width of construction area (m)\r\nK    = 0.8;                          %  Hydraulic conductivity (m/d)\r\nH    = 90;                           %  Initial saturated thickness (m)\r\nsmin = 6;                            %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 6.65;\r\nassert(tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3)\r\nassert(abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-10-16T05:19:15.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-16T05:10:49.000Z","updated_at":"2026-02-12T14:57:15.000Z","published_at":"2023-10-16T05:19:15.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn addition to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/57452\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esupplying water\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59104\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecapturing contaminants\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at least a value \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"smin\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{min}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hmax = H - smin\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_{max} = H – s_{min}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h = sqrt(H^2 - (1/(pi K) sum(Qj ln(R/rj))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh = \\\\sqrt{H^2-\\\\frac{1}{\\\\pi K} \\\\sum_{j=1}^N Q_j \\\\ln\\\\left(\\\\frac{R}{r_j}\\\\right)}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the hydraulic conductivity, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Qj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the pumping rate of the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"j\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth well, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the radius of influence, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the distance from the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"j\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth well to the point in question. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"471\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"614\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"dewatering scheme\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56205,"title":"Measure the hydraulic conductivity with a falling-head permeameter","description":"A falling-head permeameter is another device for measuring the hydraulic conductivity  of a soil sample. In this problem the sample is placed in a cylinder of length  and cross-sectional area . Unlike the constant-head permeameter, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area ) that falls. In other words, the head difference , or the difference between the water levels in the tube and the outlet, decreases in time. \r\nThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\r\n\r\nDarcy’s law applies when a Reynolds number based on the specific discharge  and representative diameter  of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere  is the kinematic viscosity of the fluid.\r\nDerive and solve an ordinary differential equation for the head difference . Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the previous problem. Use  and .\r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 902px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 451px; transform-origin: 407px 451px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 272.5px 8px; transform-origin: 272.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 103px 8px; transform-origin: 103px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82px 8px; transform-origin: 82px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"A_c\" style=\"width: 16.5px; height: 20px;\" width=\"16.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 37px 8px; transform-origin: 37px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Unlike the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003econstant-head permeameter\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.5px 8px; transform-origin: 11.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"A_t\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147px 8px; transform-origin: 147px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) that falls. In other words, the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145px 8px; transform-origin: 145px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378px 8px; transform-origin: 378px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 246px 8px; transform-origin: 246px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93px 8px; transform-origin: 93px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116px 8px; transform-origin: 116px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 147px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 73.5px; text-align: left; transform-origin: 384px 73.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 231.5px 8px; transform-origin: 231.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDerive and solve an ordinary differential equation for the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132px 8px; transform-origin: 132px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eprevious problem\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"g = 981 cm/s^2\" style=\"width: 90.5px; height: 19.5px;\" width=\"90.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"nu = 10^{-2} cm^2/s\" style=\"width: 94px; height: 19.5px;\" width=\"94\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 359px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 179.5px; text-align: left; transform-origin: 384px 179.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: middle;width: 401px;height: 359px\" src=\"data:image/png;base64,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\" alt=\"falling-head permeameter\" data-image-state=\"image-loaded\" width=\"401\" height=\"359\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n)\r\n  K = f(delta,t,L,Dc,Dt);\r\n  isDLvalid = (Re \u003c 1);\r\nend","test_suite":"%%\r\nDc = 11.28;                                 %  Diameter of cylinder holding sample (cm)\r\nDt = 2.26;                                  %  Diameter of tube (cm)\r\nL  = 10;                                    %  Sample length (cm)\r\nn  = 0.15;                                  %  Porosity\r\nt  = [0 1 2 5 10 15 20 25]*86400;           %  Time (sec)\r\ndelta = [5 4.6 4.4 3.4 3.1 1.8 1.4 0.9];    %  Head difference (cm)\r\nK_correct = 3.08e-7;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 8;                                                %  Diameter of cylinder holding sample (cm)\r\nDt = 2;                                                %  Diameter of tube (cm)\r\nL  = 15;                                               %  Sample length (cm)\r\nn  = 0.25;                                             %  Porosity\r\nt  = 0:60:420;                                         %  Time (sec)\r\ndelta = [25 20.63 17.03 14.05 11.60 9.57 7.9 6.52];    %  Head difference (cm)\r\nK_correct = 3e-3;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 7.5;                                              %  Diameter of cylinder holding sample (cm)\r\nDt = 1.75;                                             %  Diameter of tube (cm)\r\nL  = 7.6;                                              %  Sample length (cm)\r\nn  = 0.2;                                              %  Porosity\r\nt  = [0 1.25 2.36 3.74 5.40 7.20 9.28 12.08];          %  Time (sec)\r\ndelta = 88.9:-10:18.9;                                 %  Head difference (cm)\r\nK_correct = 5.25e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6;                                                               %  Diameter of cylinder holding sample (cm)\r\nDt = 1.5;                                                               %  Diameter of tube (cm)\r\nL  = 7.5;                                                               %  Sample length (cm)\r\nn  = 0.2;                                                               %  Porosity\r\nt  = [0 1.06 2.11 3.62 4.88 6.53 8.39 10.67 13.52 17.37];               %  Time (sec)\r\ndelta = [56.02 50.36 44.7 39.05 33.39 27.73 22.07 16.41 10.75 5.09];    %  Head difference (cm)\r\nK_correct = 3.89e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6;                              %  Diameter of cylinder holding sample (cm)\r\nDt = 1.5;                              %  Diameter of tube (cm)\r\nL  = 7.5;                              %  Sample length (cm)\r\nn  = 0.2;                              %  Porosity\r\nt  = [0 2.28 5.13 8.98];               %  Time (sec)\r\ndelta = [22.07 16.41 10.75 5.09];      %  Head difference (cm)\r\nK_correct = 4.79e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 8;                                                      %  Diameter of cylinder holding sample (cm)\r\nDt = 2.5;                                                    %  Diameter of tube (cm)\r\nL  = 15;                                                     %  Sample length (cm)\r\nn  = 0.18;                                                   %  Porosity\r\nt  = 0:7200:50400;                                           %  Time (sec)\r\ndelta = [50 43.15 37.23 32.13 27.72 23.92 20.64 17.81];      %  Head difference (cm)\r\nK_correct = 2.99e-5;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2022-10-01T17:35:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-01T17:35:38.000Z","updated_at":"2026-02-10T14:28:46.000Z","published_at":"2022-10-01T17:35:57.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_c\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Unlike the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003econstant-head permeameter\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_t\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) that falls. In other words, the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDerive and solve an ordinary differential equation for the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eprevious problem\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Use \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 981 cm/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 981\\\\rm\\\\,cm/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-2} cm^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 10^{-2}\\\\rm\\\\,cm^2/s\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"359\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"401\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"falling-head permeameter\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":49743,"title":"Determine aquifer properties: unsteady pump test in a confined aquifer","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 714.15px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 357.075px; transform-origin: 407px 357.075px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 382.358px 7.79167px; transform-origin: 382.358px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground water-bearing formation. One approach is to disturb the aquifer, observe its response, and fit a theoretical formula to the observations. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 106.633px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.3167px; text-align: left; transform-origin: 384px 53.3167px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 297.567px 7.79167px; transform-origin: 297.567px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, suppose a confined aquifer initially has no flow. In that case, the piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.675px 7.79167px; transform-origin: 67.675px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the level to which water would rise in an observation well, would be a uniform value \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"h0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 124.467px 7.79167px; transform-origin: 124.467px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. A well turned on and pumped at a rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q0\" style=\"width: 19px; height: 20px;\" width=\"19\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.9083px 7.79167px; transform-origin: 38.9083px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will create a cone of depression; that is, it will draw down the piezometric head to a level \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"h(r)\" style=\"width: 29px; height: 18.5px;\" width=\"29\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.8917px 7.79167px; transform-origin: 24.8917px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.2917px 7.79167px; transform-origin: 95.2917px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the radial distance from the well. Applying conservation of mass and Darcy’s law to this situation leads to a diffusion equation whose solution for the drawdown \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIEAAAAoCAYAAADZs5l2AAAChklEQVR4nO2Z67GDIBCFTw92kAZswApSgR3YgR2khdRgCfZgC6nBFu79gTtsCD5AEZT9Zpy56oVwcGEfAIIgCIIgCIIgCLlQAKgAtAC66e+7kpPWzdQA3gD+2PWIOqJw5KTVix5qUj6xB3ICOWl1glbGK/ZATiAnrZt5Qk/M3X1kTlqdeEFNyggVON2ZnLQ6MUBNTB97ICcQTCulHC3UdlMAaHANSyugt8fGeF5Da7oDQbQW0Jb1gjKGjv3QViPgRrTn8kl3ajbeko3ng+9U6g6GEERrOzUajOeD5dmWfvZepdnxBihvHqf7GmpSaEe7UyQdRCvPN/mqb+Dmc47aCXzcD62CN9RkcC08kq49+k6NIFop0jQbPnCN9OMBPf4WalL4bsL1+ewySxxh+C5zHEwr73h0bZwADfT4B/yuAIp3Rtgp4R+PHOECm59e59mrdbOYAdeqRfMg9m28K1beddDbaQU1eS4f5YidwGXR+WrdDMUGvp3Eyg5GaOs32y75SNo6+UegyDvVLMJX62YK9iM+J1MxsoOKtbNFw3OVNXKB5uELrSaXrOgsfLUuYvtn/iFdV0OM7ICP12Y85CO76b6ALoLx5xyKvlOLjXy1zkIrwYxMubWlNgk2lo5TuY+sp/seSiPl2rYV1bM2KeGrdRb62OZKIJ+Y4nZoslYY4T7yAfXhKejrF9otvYvFHq2z8NIjlYprKBdhFo1SZe041YxR+KRczQj2aJ2lgt7un/g+OLoKPAaxQb7flnFczQj2aBVmoEh6yQhc6gXCBSF3aKuHpJodCAezVifwKrsK12OpYphaeigEgnJpOispoXaAlAJC4SQo8m4gkbUgCIIgCIIgCIKQB/+ZU42DSga/5QAAAABJRU5ErkJggg==\" alt=\"s = h0 - h\" style=\"width: 64.5px; height: 20px;\" width=\"64.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3417px 7.79167px; transform-origin: 79.3417px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e as a function of distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.725px 7.79167px; transform-origin: 30.725px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7px 7.79167px; transform-origin: 7px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 44px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22px; text-align: left; transform-origin: 384px 22px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s = (Q0/(4 pi T)) integral(exp(-x)/x, u, infinity)\" style=\"width: 117px; height: 44px;\" width=\"117\" height=\"44\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 7.79167px; transform-origin: 21.0083px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eT\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.9833px 7.79167px; transform-origin: 65.9833px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the transmissivity, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eS\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.15px 7.79167px; transform-origin: 67.15px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the storativity, and \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.05px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.025px; text-align: left; transform-origin: 384px 18.025px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"u = Sr^2/(4Tt)\" style=\"width: 49.5px; height: 36px;\" width=\"49.5\" height=\"36\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 349.917px 7.79167px; transform-origin: 349.917px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that achieves the objective of a pumping test: to determine the transmissivity and storativity from measurements of drawdown in time. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 347.467px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 173.733px; text-align: left; transform-origin: 384px 173.733px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 497px;height: 342px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"497\" height=\"342\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [T,S] = confinedPumpTest(t,s,Q0,r)\r\n  % t = time, s = drawdown, Q0 = pumping rate, r = distance from well\r\n  T = f1(t,s,Q0,r);\r\n  S = f2(t,s,Q0,r);\r\nend","test_suite":"%%\r\nQ0 = 0.15;                                %  Pumping rate (m3/s)\r\nr  = 100;                                 %  Distance from well (m)\r\nt  = [100 1000 10000 1e5 2e5];            %  Time (s)\r\ns  = [0.0402 1.236 3.664 6.276 7.05];     %  Drawdown (m)\r\n[T,S] = confinedPumpTest(t,s,Q0,r);\r\nT_correct = 1.042e-2;                     %  Transmissivity (m2/s)\r\nS_correct = 9.864e-4;                     %  Storativity\r\nassert(abs(T-T_correct)/T_correct \u003c 1e-3 \u0026\u0026 abs(S-S_correct)/S_correct \u003c 1e-3)\r\n\r\n%%\r\nQ0 = 0.30;                                %  Pumping rate (m3/s)\r\nr  = 100;                                 %  Distance from well (m)\r\nt  = [100 1000 10000 1e5 2e5];            %  Time (s)\r\ns  = [0.0804 2.472 7.328 12.552 14.1];    %  Drawdown (m)\r\n[T,S] = confinedPumpTest(t,s,Q0,r);\r\nT_correct = 1.042e-2;                     %  Transmissivity (m2/s)\r\nS_correct = 9.864e-4;                     %  Storativity\r\nassert(abs(T-T_correct)/T_correct \u003c 1e-3 \u0026\u0026 abs(S-S_correct)/S_correct \u003c 1e-3)\r\n\r\n%%\r\nQ0 = 0.1;                                      %  Pumping rate (m3/s)\r\nr  = 40;                                       %  Distance from well (m)\r\nt  = [300 2000 8000 12000 24000 40000];        %  Time (s)\r\ns  = [0.494 1.749 2.830 3.153 3.709 4.120];    %  Drawdown (m)\r\n[T,S] = confinedPumpTest(t,s,Q0,r);\r\nT_correct = 9.838e-3;                          %  Transmissivity (m2/s)\r\nS_correct = 3.4e-3;                            %  Storativity\r\nassert(abs(T-T_correct)/T_correct \u003c 1e-3 \u0026\u0026 abs(S-S_correct)/S_correct \u003c 1e-3)\r\n\r\n%%\r\nQ0 = 0.1;                                      %  Pumping rate (m3/s)\r\nr  = 65;                                       %  Distance from well (m)\r\nt  = [300 2000 8000 12000 24000 40000];        %  Time (s)\r\ns  = [0.125 1.050 2.067 2.383 2.931 3.339];    %  Drawdown (m)\r\n[T,S] = confinedPumpTest(t,s,Q0,r);\r\nT_correct = 9.838e-3;                          %  Transmissivity (m2/s)\r\nS_correct = 3.4e-3;                            %  Storativity\r\nassert(abs(T-T_correct)/T_correct \u003c 2e-3 \u0026\u0026 abs(S-S_correct)/S_correct \u003c 1e-3)\r\n\r\n%%\r\nQ0 = 0.05;                                     %  Pumping rate (m3/s)\r\nr  = 5+10*rand;                                %  Distance from well (m)\r\nt  = [4e5 9e5 14e5 19e5 24e5];                 %  Time (s)\r\ns  = [0.859 0.918 0.951 0.973 0.991];          %  Drawdown (m)\r\n[T,S] = confinedPumpTest(t,s,Q0,r);\r\nlogfit = polyfit(log(t),s,1);                  \r\nTapprox = Q0/(4*pi*logfit(1));                       \r\nSapprox = 2.25*Tapprox*exp(-logfit(2)/logfit(1))/r^2;      \r\nassert(abs(T-Tapprox)/Tapprox \u003c 1e-3 \u0026\u0026 abs(S-Sapprox)/Sapprox \u003c 2e-3)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-01-04T00:26:53.000Z","updated_at":"2026-01-09T18:01:40.000Z","published_at":"2021-01-04T05:23:32.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground water-bearing formation. One approach is to disturb the aquifer, observe its response, and fit a theoretical formula to the observations. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, suppose a confined aquifer initially has no flow. In that case, the piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the level to which water would rise in an observation well, would be a uniform value \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. A well turned on and pumped at a rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e will create a cone of depression; that is, it will draw down the piezometric head to a level \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(r)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(r)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the radial distance from the well. Applying conservation of mass and Darcy’s law to this situation leads to a diffusion equation whose solution for the drawdown \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s = h0 - h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es = h_0-h\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e as a function of distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and time \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s = (Q0/(4 pi T)) integral(exp(-x)/x, u, infinity)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es = {Q_0 \\\\over 4 \\\\pi T} \\\\int_u^\\\\infty {e^{-x} \\\\over x} dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the transmissivity, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the storativity, and \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"u = Sr^2/(4Tt)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eu = {S r^2 \\\\over 4 T t}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that achieves the objective of a pumping test: to determine the transmissivity and storativity from measurements of drawdown in time. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"342\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"497\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59516,"title":"Determine aquifer properties: slug test","description":"An important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground water-bearing formation. One approach is to disturb the aquifer, observe its response, and fit a theoretical formula to the observations. This approach is demonstrated in Cody Problems 59152, 49473,  and 59147, which involve steady pump tests in confined or unconfined aquifers, an unsteady pump test in a confined aquifer, and a steady pump test in a leaky confined aquifer. In these cases, a well is pumped at a constant rate, and properties such as the hydraulic conductivity  of the aquifer are determined. \r\nInstead of pumping a well, one can displace the water in the well—by pouring water into the well, bailing it out of the well, or inserting a “slug” and removing it quickly—and observing how the water level recovers. In the Bouwer-Rice model of a slug test, the displacement  of water in the well is given as a function of time  by\r\n\r\nwhere  is the initial displacement,  is the radius of the well casing,  is the radius of the well screen,  is the length of the well screen, and  is the effective distance over which the water table returns to its undisturbed level. If the distance  from the undisturbed water table to the bottom of the well is smaller than the initial saturated thickness , then \r\n\r\nIf ,\r\n\r\nBouwer and Rice provided the coefficients , , and  in a figure, and Yang and Yeh (2004) fit the curves as functions of :\r\n\r\n\r\n\r\nWrite a function that computes the distance  and determines the hydraulic conductivity  by fitting the Bouwer-Rice formula to measurements of displacement as a function of time. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1075.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 537.75px; transform-origin: 407px 537.75px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 126px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 63px; text-align: left; transform-origin: 384px 63px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 382.358px 8px; transform-origin: 382.358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground water-bearing formation. One approach is to disturb the aquifer, observe its response, and fit a theoretical formula to the observations. This approach is demonstrated in Cody Problems \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59152\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e59152\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/49743\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e49473\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.4417px 8px; transform-origin: 19.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,  and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59147-determine-aquifer-properties-steady-pump-test-in-a-leaky-confined-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e59147\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.4667px 8px; transform-origin: 89.4667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which involve steady pump tests in confined or unconfined aquifers, an unsteady pump test in a confined aquifer, and a steady pump test in a leaky confined aquifer. In these cases, a well is pumped at a constant rate, and properties such as the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.56667px 8px; transform-origin: 9.56667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the aquifer are determined. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 383.933px 8px; transform-origin: 383.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInstead of pumping a well, one can displace the water in the well—by pouring water into the well, bailing it out of the well, or inserting a “slug” and removing it quickly—and observing how the water level recovers. In the Bouwer-Rice model of a slug test, the displacement \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 152.075px 8px; transform-origin: 152.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of water in the well is given as a function of time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.33333px 8px; transform-origin: 9.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-20px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"181\" height=\"42\" alt=\"H = H0 exp(-2KLet/(rc^2 ln(Re/R)))\" style=\"width: 181px; height: 42px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 65px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32.5px; text-align: left; transform-origin: 384px 32.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"H0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.6333px 8px; transform-origin: 83.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the initial displacement, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"13.5\" height=\"20\" alt=\"rc\" style=\"width: 13.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.1833px 8px; transform-origin: 99.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the radius of the well casing, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.9583px 8px; transform-origin: 99.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the radius of the well screen, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"16\" height=\"20\" alt=\"Le\" style=\"width: 16px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49.3917px 8px; transform-origin: 49.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the length of the well screen, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"16.5\" height=\"20\" alt=\"Re\" style=\"width: 16.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 302.475px 8px; transform-origin: 302.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the effective distance over which the water table returns to its undisturbed level. If the distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"20\" alt=\"Lw\" style=\"width: 18px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0.0416667px 8px; transform-origin: 0.0416667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the undisturbed water table to the bottom of the well is smaller than the initial saturated thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.4417px 8px; transform-origin: 19.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, then \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 44px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22px; text-align: left; transform-origin: 384px 22px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"305.5\" height=\"44\" alt=\"ln(Re/R) = [1.1/ln(Lw/R) + [A+Bln((h-Lw)/R)]/(Le/R)]^{-1}\" style=\"width: 305.5px; height: 44px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFgAAAAoCAYAAAB6tz31AAADq0lEQVRoQ+2ZOYgVQRCGd3PBI9NAQQ0UFCMPEA1EFEwFj0Q2EK/EQBQUMRBR8cDMC4MNDDxCI41MBI9wgzXQQBCNNNFc/3/petSb41Vt7+t9r4ce+Jn3ZqZrur+uru7qmZwoR1ICk0mtF+MTBXBiJyiAC+DEBBKbLx5cACcmEGd+BYqtgz5ZxS0PvgUDu6HtFUM/8f8p9NLzEqsSGdwnzJPQFmgztBL6AO2w6m4BlvKz+LEh/CHcXdBXy3gH79Phzod23cb5gtVGL+Afoddo7xJ0wzLc0fun0K4HoW3bPKPXA5jx5pcC5jLcUcDP0a5DEEfxJui31U4PYN1rbsPWizO9/wf1XgK9gA572uABLL1Ge27Dnpdn9sxW1PdjqPNpnB966u8BrOOv27Dn5Zk9cxH1vR7qvB5n1yRvAeby5IsC4TacGTxPdV/joX3QZ2hjKEA+98N1Xqo5oAVY95o27KnQsJ9h49jIhR6xq6B/4cWPceaamHPTFegVxFxBlrF9TC3A0mu0LYYX2sDY8qMErN+9Hw1YC52FjkHM5mSe+ovfa6De6sICLLMmoRwJhmIB5VxOEgwCPAhNQzrZEk61UT4IsO61Ws/kTCui7pLJMj1eDU1Bb4IdvbqojfJBgHVa6Mq7IyqeQ5FqolVNkfU8xfAh4OfaNgjwe9yXTR5X3p0DrYg6MqF4FsrR0Q7oGIvfMk81jvI2wLHpMb3e3ACJaCSLjGqS04lW0zwk8ZeeSw/uO9oA617zpsdctjA2mVt4mQGWRIsT2M6K95rZXRvgRzB0IoBo7JkKJHr8N4iZTpd22nSi1RQmJf5KeCAWtp/r5LmjDbBOj631L+G+g7jQ5k7bcmgvxM3pM5BOKRlCbiovYPx6O8adYm1PSvwVJ+S8dQ9iWGkFXI11TYGdhdm73LpjZsQdJj2EZATo1FHs6mtc/iyFVkmFxuwsANvCpMRf3p9pchbtwfJZhAAIbL6HHkICU3bftJdXoXPh3htS831p4uet7UlZaRHwVai2w2ZlcrH1l+AvgOnRy5THS5zm9SeQ+fEwtiKjLpcKMNvFzRH27BR0DroLccgJdK5U9oyx9w6lb1ID5uz6HeKmCCc7fnoi4DvQNegoZH52GUpLR2QkJWCJXzo2i1dzQrjc5dAg/ZkSMCcArhD04pzQeRyHekuZETnXorw2NeC+NSFaROjTkOt71qIQSPySlIATVz0P8wVw4n4qgAvgxAQSmy8eXAAnJpDYfPHgxID/A9fexCkdfIsxAAAAAElFTkSuQmCC\" width=\"44\" height=\"20\" alt=\"Lw = h\" style=\"width: 44px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.9px; text-align: left; transform-origin: 384px 21.9px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"203\" height=\"44\" alt=\"ln(Re/R) = [1.1/ln(Lw/R) + C/(Le/R)]^{-1}\" style=\"width: 203px; height: 44px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.525px 8px; transform-origin: 132.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBouwer and Rice provided the coefficients \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eB\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eC\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.15px 8px; transform-origin: 206.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a figure, and Yang and Yeh (2004) fit the curves as functions of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"101\" height=\"20\" alt=\"x = log10(Le/R)\" style=\"width: 101px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"332.5\" height=\"19.5\" alt=\"A(x) = 1.353+2.157x-4.027x^2+2.777x^3-0.460x^4\" style=\"width: 332.5px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"342\" height=\"19.5\" alt=\"B(x) = -0.401+2.619x-3.267x^2+1.548x^3-0.210x^4\" style=\"width: 342px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"351\" height=\"19.5\" alt=\"C(x) = -1.605+9.496x-12.317x^2+6.528x^3-0.986x^4\" style=\"width: 351px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 136px 8px; transform-origin: 136px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"16.5\" height=\"20\" alt=\"Re\" style=\"width: 16.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.258px 8px; transform-origin: 132.258px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and determines the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.625px 8px; transform-origin: 83.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e by fitting the Bouwer-Rice formula to measurements of displacement as a function of time. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 412.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 206.35px; text-align: left; transform-origin: 384px 206.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"455\" height=\"407\" style=\"vertical-align: baseline;width: 455px;height: 407px\" src=\"data:image/png;base64,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\" alt=\"Schematic of the Bouwer-Rice slug test\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h)\r\n%  t = measurement time\r\n%  H = displacement\r\n%  rc = casing radius\r\n%  R = screen radius\r\n%  Le = screen length\r\n%  Lw = distance from undisturbed water table to bottom of well\r\n%  h = initial saturated thickness\r\n  Re = ln(Re/R) = [1.1/ln(Lw/R) + [A+B*ln((h-Lw)/R)]/(Le/R)]^{-1}\r\n  K = rc^2*log(Re/R)*log(H(1)/H)/(2*Le*t);\r\nend","test_suite":"%%\r\nt = 0:2:16;             %  Measurement times (sec)                                                 \r\nrc = 0.05;              %  Casing radius (m)\r\nR = 0.1;                %  Screen radius (m)\r\nLe = 3;                 %  Screen length (m)\r\nLw = 5;                 %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 15;                 %  Undisturbed saturated thickness (m)\r\nH = [1.5 0.645 0.372 0.195 0.13 0.067 0.044 0.023 0.015];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 2.82e-4;\r\nRe_correct = 1.11;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:2:16;             %  Measurement times (sec)\r\nrc = 0.03;              %  Casing radius (m)\r\nR = 0.2;                %  Screen radius (m)\r\nLe = 4;                 %  Screen length (m)\r\nLw = 6;                 %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 15;                 %  Undisturbed saturated thickness (m)\r\nH = [1.0 0.498 0.248 0.123 6.14e-2 3.06e-2 1.52e-2 7.57e-3 3.77e-3];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 8.10e-5;\r\nRe_correct = 1.576;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:2:16;             %  Measurement times (sec)\r\nrc = 0.03;              %  Casing radius (m)\r\nR = 0.2;                %  Screen radius (m)\r\nLe = 4;                 %  Screen length (m)\r\nLw = 6;                 %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 15;                 %  Undisturbed saturated thickness (m)\r\nH = [1.0 0.498 0.248 0.123 6.14e-2 3.06e-2 1.52e-2 7.57e-3 3.77e-3];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 8.10e-5;\r\nRe_correct = 1.576;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:5:40;             %  Measurement times (sec)\r\nrc = 0.04;              %  Casing radius (m)\r\nR = 0.2;                %  Screen radius (m)\r\nLe = 3.5;               %  Screen length (m)\r\nLw = 15;                %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 15;                 %  Undisturbed saturated thickness (m)\r\nH = [0.8 0.404 0.204 0.103 5.21e-2 2.63e-2 1.33e-2 6.72e-3 3.4e-3];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 9.4e-5;\r\nRe_correct = 4.065;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:50:400;           %  Measurement times (sec)\r\nrc = 0.035;             %  Casing radius (m)\r\nR = 0.08;               %  Screen radius (m)\r\nLe = 7;                 %  Screen length (m)\r\nLw = 14;                %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 28;                 %  Undisturbed saturated thickness (m)\r\nH = [1.7 0.978 0.562 0.323 0.186 0.107 6.15e-2 3.53e-2 2.03e-2];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 3.2e-6;\r\nRe_correct = 2.179;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:50:400;           %  Measurement times (sec)\r\nrc = 0.035;             %  Casing radius (m)\r\nR = 0.08;               %  Screen radius (m)\r\nLe = 7;                 %  Screen length (m)\r\nLw = 28;                %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 28;                 %  Undisturbed saturated thickness (m)\r\nH = [1.7 1.11 0.719 0.467 0.304 0.197 0.128 8.35e-2 5.43e-2];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 3.2e-6;\r\nRe_correct = 5.592;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:60:480;           %  Measurement times (sec)\r\nrc = 0.04;              %  Casing radius (m)\r\nR = 0.1;                %  Screen radius (m)\r\nLe = 5;                 %  Screen length (m)\r\nLw = 30;                %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 30;                 %  Undisturbed saturated thickness (m)\r\nH = [1.3 0.651 0.326 0.163 8.16e-2 4.09e-2 2.05e-2 1.02e-2 5.13e-3];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 7.43e-6;\r\nRe_correct = 5.608;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nfiletext = fileread('BouwerRice.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-30T14:18:44.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-12-30T13:54:14.000Z","updated_at":"2026-02-12T15:36:49.000Z","published_at":"2023-12-30T14:04:33.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground water-bearing formation. One approach is to disturb the aquifer, observe its response, and fit a theoretical formula to the observations. This approach is demonstrated in Cody Problems \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59152\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e59152\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/49743\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e49473\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e,  and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59147-determine-aquifer-properties-steady-pump-test-in-a-leaky-confined-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e59147\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, which involve steady pump tests in confined or unconfined aquifers, an unsteady pump test in a confined aquifer, and a steady pump test in a leaky confined aquifer. In these cases, a well is pumped at a constant rate, and properties such as the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the aquifer are determined. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInstead of pumping a well, one can displace the water in the well—by pouring water into the well, bailing it out of the well, or inserting a “slug” and removing it quickly—and observing how the water level recovers. In the Bouwer-Rice model of a slug test, the displacement \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of water in the well is given as a function of time \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H = H0 exp(-2KLet/(rc^2 ln(Re/R)))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH = H_0 \\\\exp\\\\left(-\\\\frac{2 K L_e t}{r_c^2 \\\\ln(R_e/R)}\\\\right)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the initial displacement, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the radius of the well casing, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the radius of the well screen, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Le\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the length of the well screen, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the effective distance over which the water table returns to its undisturbed level. If the distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Lw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from the undisturbed water table to the bottom of the well is smaller than the initial saturated thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, then \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ln(Re/R) = [1.1/ln(Lw/R) + [A+Bln((h-Lw)/R)]/(Le/R)]^{-1}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\ln\\\\left(\\\\frac{R_e}{R}\\\\right) = \\\\left[\\\\frac{1.1}{\\\\ln(L_w/R)} + \\\\frac{A+B\\\\ln((h-L_w)/R)}{L_e/R}\\\\right]^{-1}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Lw = h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL_w = h\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ln(Re/R) = [1.1/ln(Lw/R) + C/(Le/R)]^{-1}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\ln\\\\left(\\\\frac{R_e}{R}\\\\right) = \\\\left[\\\\frac{1.1}{\\\\ln(L_w/R)} + \\\\frac{C}{L_e/R}\\\\right]^{-1}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBouwer and Rice provided the coefficients \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"B\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eB\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in a figure, and Yang and Yeh (2004) fit the curves as functions of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = log10(Le/R)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = \\\\log_{10}(L_e/R)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A(x) = 1.353+2.157x-4.027x^2+2.777x^3-0.460x^4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA(x) = 1.353+2.157x-4.027x^2+2.777x^3-0.460x^4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"B(x) = -0.401+2.619x-3.267x^2+1.548x^3-0.210x^4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eB(x) = -0.401+2.619x-3.267x^2+1.548x^3-0.210x^4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C(x) = -1.605+9.496x-12.317x^2+6.528x^3-0.986x^4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(x) = -1.605+9.496x-12.317x^2+6.528x^3-0.986x^4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and determines the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e by fitting the Bouwer-Rice formula to measurements of displacement as a function of time. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"407\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"455\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Schematic of the Bouwer-Rice slug test\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAl8AAAIeCAYAAACFu2rUAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAHRrSURBVHhe7d0JuBxVnf7xk5AFshASloyySCAwImsIqxiBJCAqiJCwiTiCyqaOIqIBZ/4MM05AEdFBZJHFERUUgiBuIEQQEQTCEjZBICEkjmFJCAkJWQj/vKfrd++5leq+3VXV3dXd38/z3Keqq7rv7Vv3VvVbv3PqVJ+313AAAABoiL7RFAAAAA1A+AIAAGggwhcAAEADEb4AAAAaiPAFAADQQIQvAACABiJ8AQAANBDhCwAAoIEIXwAAAA1E+AIAAGggwhcAAEADEb4AAAAaiPAFAADQQIQvAACABiJ8AQAANBDhCwAAoIEIXwAAAA1E+AIAAGggwhcAAEADEb4AAAAaiPAFAADQQIQvAACABiJ8AWhZr732mhsxYoT/mjVrln88efJk16dPH/81atSo6JkAUByELwAtbeHChf5L4WvixIlu2rRp0RrnZs+e7ZcDQJH0eXuNaB4AWoqC1VZbbeXnt9xySx+2NP3qV7/qNtlkI3fxxZe4O+64w68HgKIgfAFoWWH4EgUvKl0Aio5mRwBtY/r06dEcABQX4QtAW5gyZQod7AG0BMIXAABAAxG+AAAAGojwBaAtDBs2LJoDgGIjfAFoC4sWLYrmAKDYCF8AAAANRPgCAABoIMIXgLZQTZ+vCRMmdN33UV9nnnlmtAYAGofwBaAt9NbnSzfffv75551u6mFf1113nXvggQeiZwBAYxC+ALSFSpWvk046yd98Oz4Cvm5FtPvuu0ePAKAxuLcjgLan5kZVxm6//Xa3wQYbREsBoDmofAFoew8//LC/6TbBC0AREL4AtD01SarZEQCKgPAFoK299tprvsmRQVgBFAXhC0BbU1OjOtzPmDGDKxsBFALhC0DbO/HEE93w4cPdKaec4ithRh3xb7zxhugRADQG4QtA2xs1apRbsGCBH+dLIcwGWd1jjz3c4YdPjp4FAI3BUBMAAAANROULAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgC0tOnTp0dzANAaCF8AWtqECROiucrOPPPMaA4AmqvP22tE8wDQcvr06eOqOYxV+zwAqDcqXwAAAA1E+ALQ0saOHRvNVUbVC0BR0OwIAADQQFS+AAAAGojwBaClVTvUhDrcA0AR0OwIoKVxtSOAVkPlC0ChzZo1K5qrr0b9HAAgfAEotDPOOMONGjXK3XjjDdGSfF166aVuxIgR7vLLL4+WAEB9Eb4AFNqGG27oZs+e7SZNOiIxhKUdasJC1ymnnOIWLlzohg0bFq0BgPoifAEotFdffTWac4kh7MEHH/TTaul1YegyixYtiuYAoL7ocA90ON3z8LzzzosetRZVvW6//Xa3wQYbREvKU58uPT8MXK3kkksucSeffHL0CEAro/IFdLhzzz3XN8kV9evEE0+M3mlPWq7g9dBDD0VLKttqq63cjBkzyn6/KVOmJP78onwRvID2QfgCUGhhs6MoJKl6ddlll/mK14QJE6I1vVNzpV73/PPPrxXC6PMFoFEIXwAKTR3uxUKXKnXVNDNWkhTC6PMFoFHo8wWg0DSC/a677lo2cOUxyKr6g+lr/Pjx0RIAqB/CF4CWtttuu9V8xSMANBPhCwAAoIHo8wUAANBAhC8ALU19wqqhPl8AUAQ0OwJoaXl0uAeARqLyBQAA0ECELwAAgAYifAFoabpfYzVocgRQFPT5AgAAaCAqXwAAAA1E+ALQ0hhqAkCrodkRQEtjqAkArYbKFwAAQAMRvgAAABqI8AWgpTHUBIBWQ58vAACABqLyBQAA0ECELwAtjaEmALQamh0BtDSGmgDQaqh8AQAANBDhCwAAoIFodkRdPfDAA+7GG2+MHvU0bNgwd9RRR7lRo0ZFS4Da7bbbbu7BBx+MHgFA8RG+UFeTJ09206ZNix4l23LLLd2VV17pxo8fHy0BAKB9Eb5QV6pKzJgxw8+H4eqNZSvdM3993C1cuDBa4taEtOvd4YdPjh4BANCe6POFulLToqi6dccdd3R93ffnP7oFCxa4Sy65xK+XT3/6RDdr1qzoEVAdhpoA0GoIX6irRYsWRXPJTj755K6KmKpgDz9cqpIB1ZowYUI0BwCtgfCFurLKVyVHHHFENKcO+oQvAEB7I3yhrnqrfMVVE9YAAGhlhC/UVTVh6vbbb4/mnNtjjz2iOaA6Y8eOjeYq49oiAEVB+EJd9Vb5uvTSS7uGotCHKMNNoFaM8QWg1TDUBOpKnaF1Ndrw4cPdSSed5AYOHOiWL1/ur3S87bbb3OzZs/3zdDWknseAqwCAdkf4Ql2F43wlUSj7yle+4qZMmRItAWqj0F5NxZQbawMoCsIX6soqX2IfkGqKDAPZiSee6C677LLoEVCe/pfuv/9+Px6c/Q9pGu/3pcebbLKJ23///d0uu73PjVh/AOELQGEQvlBXFr7UrBgOoPraa6+5iRMndn2AnnvuuVS/kEj/K1/96lfd5Zdf7kOV/pe22WYb9653vcuvP+WUU3oM1isvvPCCe+2lWe6BR5/1/2Mnn3CUu/SqnxG+ABQC4Qt1VS58mREjRnTdYkjTDTbYwM8DRk3Xu+21r/vUvxztH2+00UbulVde8fOiK2Qffvhht7zPBq7vipejpT3p5u7nnXce4QtAIXC1I+qqt6sdp06dGs05X90A4lS5+ttTj7h77rnHPw6Dl6gatnLlyrLBS69XUyUAFAWVL9RVb5UvseqXOt/rKkggpL5aapL+/e9/39W/S+PHjR49OnpGSd9Vi9zqfqVx5Z5/4e9u4Sv/55+/3fY7uXH77OWbLTncASgCwhfqyq52rBS+NASFPhhFfXd0v0fAKHxNm3Z99Kh0CyqF9FdffTVasrYNN9zQD1uy7bbdAW3SpCMIXwAKgfCFuqqm8qXlW221lZ9XVYNBMxFS+FIo32STjdxLL73ipyGFsd13H+uWL1/pBg7sHy11bv7CVW7k8H5dryF8ASgK+nyhrqq5t6MqFApdoirZAw884OdFV7qpWVIfwPZ14403RGvRKSxwvd2/dEGGApUoYKkjvdj/mq1bb503/ZT7hQIoGsIX6qraD76zzuoeZkJXpokqYptsMtKPD6aKhb5UAVEFQ7clQmdRqFIlSxUuhbHXX1/iH4stUxjTtFQFG+jXVXMCAACNRPhCXWkYAIWnAw88MFqSbPz4if554Ujl6ge20047uhtu6K50qT+YnnPFFVdES9ApFKoUwNS0qJC1/vpDfAATLbMwpqkeW+iyUAYARUGfLxSWmhvHjBnj7rjjjmhJyZlnnumbmp5//nnuBdkB1NT8/SuudRsMKh2qLGgpfMnpp5/RY8iSUPhc+nwBKArCFwpJTY7qB2YDsCbhX7czKHzpasd+K+e7eUs27KpuKVBZZ3qxeTU5mteW9ul6/vHHH8//DIBCoNkRhTZp0qSu/l7xL3QWC17Wn8v6eWlq86LmRlW8li9f3iOoAUBREL5QSDQnIk7NjmFVS/R45syZft76dekiDy23gBb2DQOAIiB8obDUsX7atGl+uAl0NoUoVbKMdajXVP3/wipXSOvVHEnlC0CREL5QWOeff76/5dDEiROjJSUaZkKDt6JzKETZ0BGiMBZexahwZdWukD1PUwAoCsIXCktNj7qNjK5qDAdZvf3229e6AhLtLWmoCFW5VO2SeLga3HeB72xvlS9NAaAoCF8oPAWwsKN9OO4XOkOpo/1yH6KsudGqXLp1VTxchZ3zqXwBKBrCF4CWEL/CUTTVGF/xcGXBi8oXgCLKd5yv57jlC/LxtlvH9XFv+Wk5Wh96c82H7brRhyzzrTsf0t+/7+gT/ThfNo6XmiB138ZwnC8t23TIq10VL1tuoUzhS4Osrn72cv84/r8DADXb+uRopnZUvlBI9uGoabmvuPDDm/mSVpxPohBl9wm14KVlClgPPDDDD0Oxqv/IruEotFx9whS61PfLlPvfAYBGInwBKCwLStZsWGpKLDU/2mMNNaH1qn5pqr5h4fMU1kylSioANArhC0BhWVhSiCo3zpfYlY+latfArhBm6w1VLwBFQPgCUFhh5cuubhSFsbBPV3ycL5sPp0LlC0AREL4AFFZY+SpNS9UsTa2ZUUNN2PpyrAJG5QtAERC+ABRWWPlSx3lVuNS0qKk1M15wwfn+OeVYHzCh8gWgCAhfAAorrHxpKAlNrRnR+nf1XvUq9QETKl8AioDwBaCwwsqXxvCyECWqfsnMmTP9tBK7PRGVLwBFQPgCUFhhWLIxvEQhzEau11ATcVpuV0Oq2VFNlELlC0AREL4AFFYYlsKhJRTCNOhqGMZsvfqGabldDalmR0PlC0AREL4AFFbY5ysMWyYMYzaqvVW5Sn3CSqHMUPkCUASELwCFFfb5SqK+XBpqQuutymWhyzrjK5TR5wtAkRC+ABRWGJbCezSK9eXSUBNhRcyGozBhNYzKF4AiIHwBKKwwLOkejaUKV+k2Qxay4k2RVgEzYRij8gWgCAhfAAor7PNlzYgWrBSoFKziQ01YPy8LanqNDUtB5QtAEdQ1fM2e+2o0BwA9VXN8CPt8KUhpaiyMaaiJMHCpf1f8SkfNC5UvAEVQl/D1w2n3uiE7f9l993+nR0sAoKdzLvq1G7Xfv/njRTkWlhSo4n25xMKYwlV4taM9LwxlQuULQBHkGr4sdB3/1R+5N954ww0buh5nmgDKUvVLxwuFsJt+/2i0tJuFJQtU1nwo1qQoVvGygGbPs1BG5QtAkeQSvi699FI3YsSIrtBlFi1expkmgF4phB12yqVrVcIsLFmgsiEjRE2KCl0aakLhykbA1/J+K+f7qyO13kbCF45HAIqgz9trRPM1mzVrlhs7dqxbuHBhtAQAsttlu83cH37yJbfB+uu5PqNPcdOmXd8VwOJTscpWSIGrFMZKVbFTP32MW/3s5QQwAPnY+uRopnaZwpc8N3eB++Z/nekuv/zyaEm3s//1w2u+Do0eAUC3E756dWJ/ry8eP96d/fmDffBS5avv6BN9+CoXsFTZ0uj3xsKWKmGi5kmFtEmTjnBvP3uJXwYAmWUIX5mbHbfebIS77LLL3PPPP+8+OWnvaOna7GyTKVOmTJModC186Nvu21872gcvCZ8fdpw3Clnz5s2Lqlyl8b+sCdJYlUzo8wWgCHLrcD9q1Ch31TeO9wfPMITp4FnuAMyUKdPOnZowdA1bE5TC9RaWFKjCjvOisKWO+F//+tf9coUsG44inNo6if9sAGiGXK921IFNZ6wKYbPu/Lrbb89tOdMEsBYdK4768Ni1Qlc8HNljBamw47zYOF+l+dL6UgBbe0BWex7HIwBFkGv4MjpgbrnZhj58xQ+mACAHvX/7Uof6hNBlwrCkfl0WooyFMS2PV8ZE6xnnC0DR1CV8AUAewrBkIUpDSAzuu6DrRtsaakLL1f/LmhvtufFQRuULQBEQvgAUloUlBSsLUepM/8bqEb6/lx5PnTrVP0c33rZmRz1Xr1EAY5wvAEVD+AJQWBaWbIR7C1Fi4SrsVG9XNerxpkNe7RHEhMoXgCIgfAEoLAtLClHWed6aFFXpkqefftpP9RzROjVJruo/0k+1XOFNqHwBKALCF4DCsrBkgUqs471d0Xjeeef59WLL7FZDpabJ0vhfQuULQBpv9H2H/1rUdxv/Nb//e90L85f6rzQIXwAKKwxLqnQpUIVjeFnoSlquqZZbxUyofAEI6RiTFKxm9f2A/3pu4JHucTfZ/aP/OP/1Sv8x7sXVO7slfTdzq1a+6b/SyHx7IbHkN3j5k67/W4v8fD9X6nsxePX/+SkApGH3dlSQSvKxj32s4npREDv++OO5tyPQQRSozCo3xL25zsZ+fulbQ93q/sPcsuWr3XoD+/rpwIHr+nWmr1vhVrsB0aPyli9/0+2w9UbRo+rlEr50f0e5996/uOOO/JCfl+133MXd/Js7/PwLzzzivnb6p93KdUb4xztuOcB97/yvrglpy91TT8x0p/z7T/1yeffW/+Su/sYn/PwjT81lXYR1rbPuZ79+0P3pwefcg4+9EK1p3nuRVlp32tevd6+9vtRtsP4gP16g7v949dVX96hgGVW4Tj/9jK4rHsvR83RvR409qO+Z9F7eXBPednnP5qxbg3WsK+o6VaoefeqFrnXyT1vu7C797jk+VM2aNcv96xdPd+sOKFXNt33PLu6ss9U1YV2fNc4647M91p0z9Tt+Xuv+82v/6ufnLt3Ijd9ts6rWyTable6gUYtcwtff5paqXEa/2Jsr3uqayuuvL/K/QL9+pY6vgwYNdmPGjPHr58170f3j73NLy1c844ZsvJ3bafT6voq2+PXX3BNPPukGvL3IDV+/lEx33u5d/uz1tdeXrfkDveiXyZabbugPrMI61kmz1k295Hfuaxfc7P7wk9OiNc17L9LK60bt928VK1ulJsbyVS+jCpn+HuV+nsKeJB1fWMc61jVm3Xbb7+RWuYFu4eur3EN//Ydftnrgpm7Quv3cP48Z75v59DrlCVGmGD58Qzd69Jb+8Suvvu7+9sxTfvmqVavc+usP68oaqlI98tAD/nmStM4yir7nVqO39fNJ6/TzVkeVsaaFrxdfWtYVsqTacp3olzpk4u7ultsf8MlUgW3FimU9Xm8hTt+3X/913eql893AdUqXjg9+a45buc4wN/St5/0fbNDql/wfFUDrCvt69R19og9fGkZCw0lo2AgNIzFvyYa+Q73G8VIn/CQKZlqv4SZU+Xr72UuiNd30s8odM1jHujjWpVsnK/oO85/TagIUfXavcMPc8rf6+WbAOH3eK2zZ1Fg+CLNBUmaIU95Qzth/7+3d7+6c4efLqZRjwnWa33qzUoteLXLpcK+wFCr3hpP88Irvu9mzZ/upbbD4620javmKlavdqv4bu2V9N/Ttua8Pfq9b1HcrN6f/h9zf+09wzw+c5P428OO+k5we6+uV/rt1daTTa5b3HdH1zwCgeHQQty+z7K3SgVJXMmoYCbui8YUXXvAhqzSsRHdne9H63ka4L/eBIaxLxrpknbpO+9XSvpt0dVrXZ27YaX3OkGP9Z/Pc/hOjz+Qx7qX+e7qFfd/tX6PPdH2+x78UuMKpfZkwG4SSgpcobF128bfdvLlzujJHOfHvGQrXVXpeJXVpdqzFnjtt4RYuXOiGDx/u/vjAMxWTaK0sncZTqgmraEreI9zzpeVuie+LNmD1oor/iADqSwf1eOVLUwUxhS/ry/XTn5b6f+hx+DyrlKlCVq7yBaA8FSvi1arFb5Wa7a1aVe5zNr68CCxzrDdokLt/pk7csmUOVdPSdLhv6lATSqDaCKJpb0m0VvYHD//wmrcvpWmroumfSElcX0rmqqQ9O/AYX0HTl9I7VTSgscqd/MTH77JqlypcNtaXTW0wVmFfBdamzzGrWoVDLOhL1SobYkGfj2pp0uel/4o+S8WmUm55s4WZY9nSpe7aa67081mkDW916fNVLUugJq8kWg9hxcz+mcJl0nflosQqmtAXDaidVb6sshUXr3yVY8+j8oVOZSceah5UFWuB28o/DqtXquIMHTLId+9pR/XIHE2tfMX7fFXjkou+1WMjiJJo3tWvvFiSD1N8uExfSVU0G5gtXkWzCprONjgbB5LZCYtVtuJTVba23HJL/7gSNUEK+xo6gf7PrZJlfa/U50qfQ9bnSp9TYV8rUQhp1+BVr8zR1MpXrX2+lBTfv/u2a20IKXL1Ky/x9nCjyllYMaNahk7XW+VLSkGs8lATeg6VL7Qj32HdDenqi2XNgXZlX/h508niVS+TNXNo+6a52rEp4ev5Z59xv7jhJ27Q4KFu6RuLfTvsaV85O1rr3CEfPcJttvm7okedQX9A2znCQCZhKFvXveoGri4Nagt0Ahvh3jrOq4qVNOBqbzTOFyPco1UpZIk1GVpzYZJOD1pxGhPsN7dMq1vmKMwgq9WyUt8WIwe5Z15c7OeNpfZOF561hKFMgUwslK2/+nk+VNB2rPJlVzsmha6ZM2e6nXbaKXrUkypevY3zBRRJPGSJglZ4Cxz7LEi6LQ7WpqyhfumVMkdaTe3zlZY2hnXUj7e58g9VotBlZzE2ry/fVr9mh7SbfM4d+nF/88+k/mT0c0GrCk8oylW7zjtPtw7p7xYtWuSnNt6XqDmyt3G+gGbQ/2K8X5b6BFs/YfUZDvtlhZ+J9jnA52R1LGdUyhxppf0b5BK+svwS9lrbIKheuANq+w0bOtjvqBq4zobMeMId5jtaasfWDk4nf7QS+z9VeIp3uFfI0tTW2yj3GlpC43sZNVfa86gOo9HCkKUTYwtZ/ri8eh9/rF7Sd7Ou6pYd18WmyE/emUOVrzSadrWjIXTlZ9HiN6K5bgpmfmdes2NrB1eVTKFMO75deamDAqEMRWRhSeEpHL9LTZDW/8vWi60PwxrjfKFRdAy1oKVjq74sZKmV4h8rt/THYgtYVjWJP0b95J05mlr50j8Nmq/SP4Ht3KqOhY/fWD3U36JJoUyl7ngos4MJ0Axh5StkAUsVLg01YWErlNRMSeULeYmHLH/cXBOydHKrapZaIcImw3CK9hG/QK5aTb+9kGy7+VA3Z/5SqmAN0NuFDFq/3sBSJreDRLhsyOq5bt23Xvbzby2Z5YYPepsPNNSVXe1oHefXDmKloSZsGlIgU0DTcq52RBYLlvZz6wwZ5d5cZ2PfiqAmwvixEq1BmSOvDveS5mrHXCpfaft86UM9bH9N23aK6vVWIrUzs/BgEp6tvbzynf6sTiX0xZt8zN8wVWd91p+MZh3kKfx/sj5dYZ+vwX0X+D5dpeVrV78UvBTarFmS4IVq6X9Pgcv6aS0cfrhvJdAxUMfDpGMlii9LH/U85VL5emH+0q67jqdB5as1WUVMf3fNW7BTGXajlQ/7gWIHr/4/vwxIq1zlyypdGmpi993Hdi2Ps+d1cuXr8IsGu8XrlIYtyGLAOm+7X5/0ePSo/Shw6fY7S9YZ5atb/fqv6z/bBgxYr6tAoK4bfFa1JvucapvKV98+fVIHL652bF1hRcyCl/6eKserOqY+ZBr+gqoY0rL/GYUnq3yFFS8FKw01US54Sadf7ahtePrB+ex7J419NJprH2HfLV0drj5bVt1avGSpn9rnk45zfFa1Lv39ilL5yiV8SZpOZ0qh/CO3F11xGXbq1z+7XWWp+4rpAKcyPp34UQ0LSwpPCl2ywaC33ar+I/3UQpfW2zhfITVDhldFduIJgLbhe0e94bbeKP1V6aKq1yG7DWiLbajjj42tpU7yak5U53g7ibRjmD1G+yhK5sgtfKWpfBUphSIf+pvG/7n1v2EHMx3gFvXdqkdVTAdCqmJIEla+Nh3yqp8qUGmaNM6XhTETXhUpndrnS7/3cbu/FD1K51N7/cN/n1bchguW9uuqbv1t4Md94FJ1S8cjHZviw/RQFEA1VEBKm2FyCV9Z/lHttfoF9IugPYX/IwpjVhV7fU0Qs8FgrSqmAyVhDGIf9ApZ85Zs6Kc2hIRVtDTURLziFWehrJP/r/YZ9bobMah0cUKtVPU6fOdXoketIaxu6eIgXSSkoXX0WaNjj50Q6thEhQtpZPm/KdTVjuwAnUt/+36D/8lXxXSg1HhjVMUQ/u3DZkZR8FJF64ILzu+xPKRQFjZHdmrlS7Qtj90hXWf5g/95bjRXXGF1y8bcenPgaB+4VqwsjRyv44ydCIYnhOgMWSpV5aQdZD6X8LX67bdT9fkKd4S8Nwhaj0r/OkDqQKlO+1TFEIaleJ8ua1K0DvXxeztqXgGNezuWaFuqz5aqWLXQ84/aI9tYjvWikzMLXFbdstv0qLKlDvNW4QLCzJEXfWalkUv4yutqR5odO1tY+QwPmFred9BIqmIdyP6+ClgKUWIhywLWnGcf7RGyVCFTRcwqY51+taOxbVnrFYsHbPls6ubKvFl1S/u/Vbd0ZbWq5nZlYljhqseHLVpbUQo9uXW4z3q1ozZI+OGLzhbvAGsHVo25I+osG1bFdEBWGEN7sbAUXrFoHeut8qWhJhSyNB9WvCyAdfrVjsa2ZS3VLz3vE+NWNXW7KXDZQKdW3dL+r7G37DPDghZQSZg58pI2zOUWvtJUvrSzhJUvwMQPpPY4PLO1wK6zXrs3pQ7QVhVD67MP/TBshayiZcvtOfGpgph0cuUrVG31y6pejdxuClvaf6269cbIY33VW9VvOwlLukIR6E2YOfLS1D5fWYIToQtp6X/Hmqq1U/nKWP+Nu6piGsrCqmI6oKP12Ie+QpYNLaHqllGTotjy+Hpj4ayTK19i2/N97xlYVfVr0h5vN2Sbaf8M+27pREr7sWg/Vx8udW+xkzAts3mgFnlnjjSFJ8klfKVNkvW48gCdRQfg+M5kZze69ZHOlu0+lFTFWo998IfNh6UmxlLQ0jINNRGvdhk9h6sd16Yb4quqVYmGpth8+PK6bDP9XePVLe2nYd8tO6GSpP0caGW5hK+8rnakwz3yov8rHbjtQO4vNe8/zI+2r066vrMuVbHCsw9+679lfbssaGmZhpqIhyyj53C1Y0+2TdWXq1L1S4Oq5kn7mVW31FczXt3SfqqpPheAVpG2gJRL+Mrrakd2OuQt/J/S/6i+1F/Ez68JY1YVUxij037xWFhSeLIAFrIQFg9ZRmFMN+Sm8rW2StUvq3plFVa3Fg4/3L02aG8/7pbtg9o/0352ALWqR2tbU/t8SR5XOwKNoP85/e/pain1JbErKHXJulXF9IFBVaz5LCxZiLKO86GZM2f6qYKXjfFltMxuyC1Uvkp6q35luRVRWOHS/qRqs1EFOmzxABqpHv97aU8ecgtfad6ANkRY+aLZEY1iO6Gdedv/rx4rlKk5JF4V44O78cJtbiHKOt5bM6OGmrA+YOut82ZXQLNler6h8tVN20JXMu6+xeJoSYluwJ3mJtxW5VKFSzeqDitc4T4GNFPehZ6036+plS+xFKpfQB98QLPpEnb70FCfsX791/VDWTw78Bh/Nq8PGYJYY4RhSWFLFLAkvJF2vC+Y2Lw9X/i7rS3et6uWqpdVuXwfytX7+LtSaL+xfYiTahRJ2NqWhyz/27mEr8HrrpPqrEZvPKx8AUVgVTGbV1OJPkj0/6qrsfQho1H27XZHqB8LSzbC/doBq+c4XyGrfIWofK1NfbvUx0uGvvV813wlOgHRicjfB33UV7nsdj4mvg8BRaD/xTwrX1n+t3MJX2+8+Vaqyle4gwJFpv9T+3/V1J/drznL1yXydtUkVZX8WViyYSYUpsI+XQplGmoiHrLEQloY1vgbJbPq1+kHr1N2G+lEw0aa1wmIhnEZOmTQWlWuvJt1gDwVJXM0tc+XsKOiVel/Xle6qG+LruLS5fNUw/JlQSAMUZpaCFMo01ATSZWvkIUzKl/JVP06euzL7r2j3uixjd5cs12tyqX+jwv7vtsPZKywpSb5eAd6TqjRSVR00lBbaeQWvtII218VwrK0nwLNoACmDxxdManpsnW3d68OP9q9MPAjVMNyYEFA4Ukd5wf3XdCjA73YUBJhRSyk5VS+evepPf/Rtb11AqETifkbfqqryqWwZXTc1v870Ml0/NdQW2nk1ucrDe28YZ8vdma0Kqv8qglG/9OLlw/wV0uqGsao+umFYWmDQW+7Vf1H+qlVwOSFF17o8TjOKmVC5as8bWsbIkJVrjcGvscHLqtycXxGq8u7WTxLwaipfb4krHwBrU4fUHYiYVUxP2zFoAP8h9rsJZv5DzkqMNUJw5Jd7WhDTVhFS0NNWLgqx+4ByXZfmw0RUbqIZExXlStsUiR4oR3Y/3NesuwXTe3zFaZQbRCaHdGOrHKgvjLrvGOCH7JCA7pSDeudhSWFLF3tqE733Z3vuytaWh82O2q5jQNmfcOEyldJWOWy2/zYoMMWuoB2lGehJ23RSZra5ytModog7PBoR2HlwP7f9WH39/4T/PhIVMPKC/t8qXpltxjqHki1e8iJsNnRwpqm4fJO38ZW5SpdHDLGnxBYhTb8PwXakQo8dgzOQ5qik2lqny8JK19Ap9CHnP73VWlQNWzOkGPd7L4TqYbFhJWvTYe82hWmNFVFS6FLQ01I2CFfy60jvjVXSidWvhbEBkJ9c+BovzzLBwfQiuy4m5eW7fOVdwoFWolVGjRVs6T62ujD0e4tqQ/NThdWvuYt2dBPjYUwG2oi3iHfKl+admKfL6ty6XY/ukOD7tQgujqLChc6VZ6ZI8t+1NQ+X3mnUKBVaV+wS5b1IalmSV1xpj45nVwNC8OShaqQVbhMuN7mrZ+YtHvlK17l0v+Rjs3W71BTXZELILuW7fMllkIVwuhwj05mlTDr8KypBnBdMPhA97ib3FUN66TqTRiWrAN9SAFLQ01oeXz8L9MJfb70f6Gx5RTY1ZfLbvejLwmrrJoCyK5l+3wpbIV9vjgooNPZPmEnIlap0FRVDN3OSH3DOmUAV/sdFbJ0I22xPl0WxjTUhOgG2npsfcHC55l2q3wpdCmUK3StcqXBfvWBYEFLXwBKwsyRhywFo6b2+bIDhND8CHTvE3YiYvPhVFeoqQ+P76QfXSnZrsI+Xzaul0KWKIyFzYyh8Hnt2OdLoUsj0Ct0KZSLql10ogfKCzNHHuw4nUZT+3xJWPnKkiKBdhZWw0Q7vZolbdwwVcLaUVj5UvOhQph1tBc9FlsfLrfmxnbq86XQpb+1Qpdu7G63tWJsLqA6eRZ6mt7nS82OWa921Abh4AEks8pXKNx/VAl7YcgnfOd83Qy5XYSVL2s+tGZFe6yhJiyEiYUwq5RZCJNWrnxZ6FKfLnWe16CoVLqA6oXHzDw0vc+XpHkT+jAJK18Aykuqftky9QnTB7KucJu3/rFtc4VkWPkKB00NH9tQE3F6XhjSpBUrX/pb6upFBWxR86L+9jpmhv8PACoLM0ez5dbnKy1CF1Ad7Svx6pcts6lCmD6c7V6SrR7CwsqX+m1pqoqWKHCpU31S8DIW0lqxz5f+dvobKlCXG6Mr/v8AoLI8M4dOftJecJhbs2MaeuNFSaFAO9GHtIap0H379AGuvkKtyMJS0j0dFcK0bObMmf45Iat4adpqfb7C0KW/oQKW+nTZla8AikH7ZtriU27NjmnK33rjlkLjTSoAahevhKlfkD7ANURFK44TZmFJ93JUFcv6b9m8gpWGmgjDlq2PN1NKkX93/W30N1JgXt1/mA9b+hsa+5sCaH25ha+0BwWrfHFgAfKlk5lwv7Jxwl7tP6ZlKmFhn68k4Q22LWzF7+1oj6WIlS8LXfrb2Ij0+qLKBeQr79Y2fb+mNjtKmqqVfTgIzY9AvpKqJpou7PvuaKiCbQofwsI+X2Fly1goC8NWfBwwuyG3FKnypW1vVzDaWF3h34yTUSBfdgzMi75f05sd0xwo9Jqw8pUmwAGonp356crIl/rv2RXCiioMS+EI94P7LuiqaGmoibDyFTYzan14Q+4iVL40FIiFrtcHv5d7LgINVJRCT1MrXxJWvjjTA+rLzvxsX9MHvwKA7h1ZxBAWhiUbMkI32F7Vf2TXjbY11IRY4AppWXhD7mZXvrSNNRSIho3QAKl266jwbwKgPsLWtrw0vdkxzYHDzsIl7w0CoHdWcRk6ZJAPBEUbniLs82XNiKpi2dARkhS64ppd+bIrGMObXqtfl4VhAPWn/S3PypcGl2/5qx0BNJadBWo/tNvT6L6Rf+8/oTAhLOzzZWzoCBvvK2moiVA4yGqjK1/hsBHatgQuoLny3PfSDC5vmlr5kqK0vwKdJr7Pal+0arSGp7CBWtUxvFksLIWVLuvTpalCmYaaqMT6ikkjKl96z9pmYehKe3wE0J6aWvmyM2+xAz+A5rAqmO2TNlBrM8cIs7BklS6FLZuGFS17rGlp1PvSc0yj+nxpG2koD22zvoNGuvUG5naIBdBGmlr50mus8mUHfgDNF98XmzVGWBiWwoqXpmFFS491taM1SWr8L1XLwqsipV6VL20TBVRdwbhs3e19Pzo15ap/V1hR5AQTaB7bD/Oi79eS43xJWPkCUBxhJcymjR4jLAxL5cb50lATWm7BTAFM8wphb6weUderHbUNbNiIJX0381eP2hWMEt9+8VALoHFsP8yLvl9LjvMVplBtEM4KgeKy/bWRY4RZWFIVy8bxitNQE+FyBTDpuSz/ypeFLl0lKnYVY94HeAD5KUqhp6mVr/AgpQ2SJsABaAzbX20/bcQYYWGfL1W04tSkKElVMaPn9Fs538/nUfnSFYwzlh/iXhu0tx+rS8N0MFAqUHzKKXmfGLXkOF8SVr4AtI5GjBFmYUnBy+7jaNSpXqHsgQdmlK2KiQ3KKlkqX+GwERttONwHrn791/XTeDAFUDzaP/OsfBVinK806pFCAdSf7bs6mNVzjDALSwpeClc2tpdYx3sbaiLpakd7vgWztJUvH7zWhC5dwRhWumwKoDXkmTk0zlfTK19KgLXKO4UCaIykCo/2ZYUyBRQFFYWwrM189noLT9afy4KVNTVqfXi1owWz8PlSa+VLP3/B0n7+97HQZWHTwicnkEBnStPdyuQWvtKO9GoHLjtwA2hNFkasGqQxwmb3nRitTcfCklW0LHRZsOoOZaVbDqlCltQ3zAZprTUMLlzzM9WpPqx2AYAknYRWq+nNjmGfryy/CIBisL5gmq7uP8yPf5WWhSWraGlq1SxR6NJQE7LeOm92hTILaTbVa6WWypd+toKXQpdQ5QJaW5g58tL0Pl9pmx3DyheA1mcnUpqqIv56361SB7B4n6/StOcI91OnTvXrwlBmHfTjy6utfKmpcc6QY3tczQigtdXjBKrpfb7SNjuGlS+aHYH2o/16xbrbuNlLNouWVC8MS/HmxkpXONpzwpAm1VS+9DMXDZngA1d4NSOA1pdnoSdLZmlq5UtvPKx8cYAD2o+dba7zjgk1V8DCsLTsrXV9mFIIE4Ur9QObOXNm1/JwvVhIq6XPl/qp2X0ZVfnS+9fxiZNDoLWFmSMPWTJLUytfdlCTvEuBAIrDDnr+HpE1DENhYSne58tClpZpqIlSlavnFY7GXiu9Vb50haaCl6pdOqbZcU3vnZNDoLWFmSMPLVv5EkIX0P7Cg96CwQdWHcDCPl/Wj0vCPl0Sr3iF7LVSqfKlqpwuELBqF4D2Q+VrDaXGPFMogOLSQc+uhNS4WdUEMAtLYWVLFKheeukVH7okqeIlCmRaZ6EtqfLl+3j13cbfGFvHMd2jEQCq0RZXO9KnAmhv1nynEKYAtmBpv4rVKAtLFrKMApV1uNdQE/H1xgKZhbakn6WrMXWjcDuBpOoFoFptcbUjBz2gM9g9ITWOViUWlqzDvFjHelt2wQXnd4WrciycxStfqngpeAFof3m3trVsny+98bDyBaAz6ETLxs56fuCkstUvC0vqMG+hS9Us60RvzYq9SbraUc2euiE43R+AzhC2tuUhS8GoqZUvvfGw8kWzI9A5tP/37dPH97HS8A5JAcyWKWCFHedtXlMNNRGy2xDZjbYV0OJXO9qNstX8mfcBGUBxUfmKhJWvLCkSQOux2xCt6r9xYgAL+3ypg711nFcYsw74GmoiDFsbDHrbL7c+YWFHfH3/5X1HuH/0H+fH8SJ0AZ0jbG3LQ9MrXwMH9M18tSMHQaDzhFUnDfMQD2Bh5StpRHuFLYmvH9x3gW9qtFBmVvQd5ub2L93sO20/VQCtScebvLsYNPVqx+Ur0l2aTbkfgFEYUgBTB3gLXWHlS2HK+n1Zlcv6ctm8pvLG6hFrVcDkH4MO9lOCF9CZ8s4cTb3aUZWvtPJOoQBal0KRxtt6tf8Y/9hCmHWwt6ZGC1RapqEmZL113uwKWUZhLBwPTAOoAkAeWrbPV9j+qhCW5RcB0B4UwBb2fbcPXlb5sg72ClHWjKgqmEydOtWHrrBvl7GgZhWyAQPWo+oFIBdN7/OlZsc0B7Sw/VUhLMsvAqB96GROwSvs8xWvetnj3ljVTOjmAHSusJ95szW92TGsfAGA6GQurHyp4mVDSITNiBIfaiIuqSIGoPPk3c887SgP0vRmx7DyRbMjALHjiVW+1Gy46ZBXfaVr2LBhfpl1utdQE8aaJcOwFl7tCKCz5VnoydKFoenNjmHli2ZHAGLHE6t8qdlwVf+RXYHKQpg1O1rY0mNrllQHfAmfp+MMJ3lAZ9K+X5SuB7mErxHrp09/YeULACRe+VJ40pcNH2EUuozClh7bKPhhnzB7no4znOQBnUn7fp6Vr6Y3Oy54fUWqN1GkFAqgOOKVL6tsafBUq35pKjbUhIWtpD5edrVjngdeAK0nz8zR9GZHSdvsyMEQQFxS5UtVLzU9aio2rpcNNWFsINZwGl7tSLMjgDw0vfKlZse0BzRLofTFAGDKVb5EYcoqXPGQpWlYAQunouMMzY4A8tD0ypeaHdMc0BS2rPJFXwwAJqnyZVc7ioUtPX766af9VCHL+nvF6flCNwegc4WZIw9Nr3ylHedLYSusfAGAJFW+5i3Z0E/DipZoqAkLV7YsZCENQGcLM0ceCtHnK20CDCtfNDsCkHjlS+JXOoqFLutQn0SBzJ4HoLO1VeUr7ThfClth5YtmRwASr3yJDZ5qwoqWOtTrcTnh1Y6c5AGdKcwceWh65SvtOF8KW2HlCwAkXvlSeLLBU41VtMKhJoyWW1hTKAuvduQkD+hMYebIQ9MrX2nH+RJCV/t75KEH3PZbbeh2/ueR7qknet6Hr9I6dK545UvhKakzvcLYBRecv9b9HrXcRrZff/0hXa/N88ALoPW0XeUrbbMjB8P2p7/zypUr3LKlS9d8CPa8z16lda1Ov9vzzz7jxh042R32oXGEyxrEK18KTwpRIVW0FLiSqmISrrfX6sCrvwsAZNWyla/wygP6YqDd6P/717+8wc1/6lb3xGOPuJumXRetQW/ilS+FJ4UrC1SiZkaFsjnPPuofx2+obevDqpmOMzQ7AshDy1a+xCpf9MVAu9H/9qitt4keObflqK2jOfQmXvmyqpZCmJoYjR5rqAmtV/UrHrYUwKzpUejmAHQuFXjybG3T90s71FYu4euNN1elqnzpjYeVL6Bd2P/2wYce4e57ZJb/Ov5TJ0Zr0Zt45csqWqK+XHqsSpfRY4UsC1th53ux8Aagc4WtbXnIUjDKJXwNXrdfqsqX3nhY+aLZEe0i3Ck32nB9N2LDjai61CCpz5dVtBS0rJ9XKLy6MWkKAEUp9DS1z5eElS+aHVvHvHkvur/ce7fvUF4Uei96T7V0bNfz7asWOlGw12lbVJLmxETfN00HfdsGtf4+RROvfKnZUMHLphbEVNGyoSas031Y/QqnouMMJ3lAZwpb2/KQ5VjS1D5feuNh5Qu10/bbf+/t3babD3X77Do6Wrq2c//zLP8cfZULC/qwt+eoo3ic/l76PhoWYv+93uOOO/JD7qD9x/qhIqZ86WS34NXuvjjV6tevNP5SWrpC8tRPH+Pfs96L3tOhB+3jdt9hc3fJRd+KntWTgom9Rs+3Lz3Wtkz63c3MR2b4Kxd3HL1x1+u0Lcq9bsYD93Zt03gg0mNbp22rr/B96ffQ/NlnfTF6RXn6XfVc2wb2+8S/rr3myugVxZbU5yspVKmiNXXqVP8cG0jVWMXLOuCLjjOc5AGdKWxty0OWY0lula809MYJXdlo+x34wUP9/Msvzy9bLbnphh9Hc87d+6c7o7mewqvxdhm7ZzRXooqKwsDVP7jIDwux3qBBbs+9x/l1Girixut/4iYdvG+vVaB42Fq1qvxtYXqj8DJu923d7bf+KlrSbdGi19yF3zzHh8WQwoeCSfiasWPHRnPOzZs7x5322eMTg5SC1+RD9vNXLop+f71W20Kvu+7HV621Y1f7+7380nw3fu8dEn8Xe8/laCgL/a6y8cYj/fsaPny4fxzXf8CAXA8+9ZLU5yuJAtfgvgv8VNWwsKkxXiWTVvjdAdRPUTJHbpWvtDgYZnfgBw+J5pz7zS3TorluCkQLFy6MHjn3u1/9Iprrpr/D/feVKjNqxtl00839vGjd6f/6KR/A+vcf4K75+W/c07NecdffdKubM3+pu/Diq7sCyNlTvhC9KlmWsBWnapuCoN7T6VPOcc+++Kp75sXF7rFnX3anfeVsv/zJx0tBybz22kK//KTPfsn94b4n/fv/xW/u9lP9Xmbqf0yJ5kq0DawCtelmW7gHn5jrf3+9VttC22Cr0dum3rE/sO+uPjwf/5nPu5t/d4//PfR+9F5FQTMpWE/78ff8UBYy9VvfdzMen+Xf16N/nec+f9qZfrnoe+p3nHzUcS1xwpNU+VKgilOwuveRuUF/sJ7VsbC5UvS7Z2kqAIA8NLXPlw6C9kGgDzcOiumM3X3vrg9pjRgf98fpt0VzJffec1c01+25WbO7KjqHHfkvPULxtBt+1rXuqp/c5Pbddz//d7OvD39ksjv1X7/q1//xzt+n6qtUKzWzKezJN79zmfvCaWd0VUtUUT3l8192t971kPtcEEDkI4cf5R56ap772v/7ug+Y4e+hipHCjygIhc2oixa/0bUNjvzY8W6TjUb0eK22wTe+dZFfn4aqh9/+3lXunK9/w223/U5+md7Pdy/5Xz8v1/3kqmiu202/LAXG9+93gPv4cZ/s8Z7OmPLvPijK1HN6hsmiS6p8KVDFKWBpqAlJWm/BS88T/V/T7AggD1kyS1P7fIXtr/qw4KCY3uSjj/NTVUjC0KDte/ddt/t5a17TB328/1HYFLnf+AP938OoOU0UBvQVrjOqJJk7Y2GvHAX2tH2+fvfrUvVOFbeJHzg48T1tvEmpCS6kwFWpuXunXXaN5pz72zNPRXPODRs6uCvgzrj/z4mvL/c9q6HKnYaliH+Pgw85tKsJcd6LpbBp9Ld96MG/+Pmxe7x3rdfq8fv3P8DPP/PXxzO9v0aLV77i/bkUxsIbbVu4ilPwCm891ErbAEC+FJbCwkJWWTJLLuEr7ThfYgfDPDdIJ9pjr/dFc85Nv/230Vxp+94VhaEvf+3crgCh5slwm0//famCoj5DY8aM8fNm5qMz/PQ9O+zip+XY937mr0+U/XsqbNn/igJ72mbIZ5/5q59+dNIxPhglSbNjbLTm90+i7Thuvwl+XtU99SXL83ZIu+2xd+I208/9p3eWmoDjZ1la169/Kby+tnBB4ustsL1zs3e11D4Wr3yF/blsfC+N92W0PKlZUqEs6dZDADpPpRPvRsslfEmayleYQrVBaHZMT81e5p4/To/mSlcwqtIlap60Ctkf//D7Hv+E99xdes3Eg3pWkfQ3Ub8qUWf7pCvo7Mt+zisvzy/7D66wleZ/JaTKnv2sddcdlGpn0u+ljuxXXfzfvsP6MR/dz3dq//evnBo9Y23fveRHXVUobYvdtt/MX52Ytpk1rPppuyT9Hto/1l+/FDKWLFnsp0br9hk33s9f95MrfdOo0e+ncKigKHvslVyxbKZKw5TEK19h86GFLht0VX0UtTxsdgw73qtqZpUvAJ2tKCehuYQvDbKaJjiFKVQbJEsJD2uC0wcO9tPbfvvLrn8w64Cv5jcte/d2O/rH6i9lVyaqCdIC1kcOO6rHP6euwqvVoZOOiebqI2wOHDKk582Wq6H+Yrtut6nvQK/+QuqwPmPGDL8dZs+eHT1rbfr//OMDz7hjjvtUV5VPVyfqKtBPH3d4r0NthFU/qabqp/3DQteQIUN7/G20zjrV6+930H5j3UXfnup/j1tuut4d8L7S31pNs5/41Cl+vkgO+/A4d/IJRyaG13jlK958qDBmnewvuOB8vywUdryPX+3ISR7QmbTv53kSmuVYkluzY9rgZB8mRTsrbzXajuMPKA1HoKrQXXfd6ZdZB/z37TvRb+PDjzzWPxbriP+nqE+YAoWqY+HfQv2mjPp16So8XTVXbmpX1FVDQSRNny/rRC4rVqzd1FSJgpeGZdA2Usf2719xrbv2xtu63rvmK9H/+TlTv+M77auflpppRRUmDbVRaWdMU/XT31ChS2a/1rPKp3VPPF66qbQoUF904bm+gnfWl0/1V7gqeF3wP1f2uHq1CPzvNXiom/773/rwqvcchrB45SvefBiGK1sWZ9Uvq5qJth8neUBn0r6vY09eshxLcqt8hWf01co7hXYybce937df9Mi5+++92y+zjvUHRFUx/bPY1XTW7+vGn//EP7YmyVD4z2V9nOxvljS1+XLy6PMVBsK5L86paWey8bB08YGGX1C10AKnvqp9P9ouCqP3PPRsV6d+hR9VwvLcucPtOXrYSz2+t5oZFbJEQ11oqInx48f796PfS+Hw/pkvdFVEiyT+f6L/U6sgKoTFK18KUTamlw2aauFq5szkZt+kgJbn3wZA6+ntM6pRmtrnK+8U2um2HrVlVxDQoKcWvFTR0hhU5qAPH+anWq8hJjSsgoSd9o3+PhbWbrjuGh+YaxGvbqWp/sSpg731vZp++2969HWqJKys7LbXvtFcT7VW4rR9zrvwsuiRc3998rGqdu40Vb9VfYb0+N5hnykNiquhJi7935v9OF9X/ejnPhxWc2Z2wXlnJ/bhq/eX/d+FVEFUCNNAtwpeVvlSk6OaD99YPSLqfN/dx8uGmqjEmiu1/bI0FQBAHnILX2kPaPZhog8xDorZaFu+N+qArSrM/175fT8fr2hpKAnz32d/JZrr2Wnf6Ht+6JBJfl5NdT+8ovQ9q5W2ulWJ3tNBBx/u59XX6arLv+fn4zRKvfp1WcBff4PuUd9VxYsHfy37zvn/FT3qSeuSRu+3/1/zz9vtEM2tLW3Vb9WKUn+8uDBYTTntJPerW272gfrJJ59a631VogpZ2HTcqKk12YYUqs86+zz33Ysv6wpeYk2O1snehplQKBPNhxWxkB6Hla9qAikA9CZLZsktfKU5oOmN2wegPiw4KGanQUSN3apmx527b58jGkrCKkf2nPh4WCENYGrVL1VJdIWfVdVEf0d9HwUd3eext1sMmTTVH6N+V/bhraZEe0/62Zqe/C+H+urJ9AfndgURVQbt99aVjldfeXlXU6peM/nD7+vxe4V0EYPu4aghJua++EK0VM2eL/jgY8bstlc0t7a0Vb9+AwZFcz2pmqnO/6L3rW2gvlO6v6NVl3QfTi0r93sZ20Y2XbFimZ/W63Gc/pYKgbqg4eRT/zVa2q1U6erv1ltH98Ds7v+lqbF1VhEzehxWvgB0pjBz5CFLZmlq5Utv3A6GeW6QTqaO1WGHdAn7gom2+f4Te94r8OiPnxDNrU3PP++CS/wl/aKgpQ90+4DXTab1wa9Ao+rYRhtt7J+XJG31J8m3L766x1WHek92w+/p00tDZ3z80Pf2CPj/c1mpf5soLGq4CP0Oeo2udFRTnQW0MBhusPE7/VRDTIx/7w5dv7vmLdioz5UCXiMdfWz5v5uoMqj3p99Pf59qxUNi3o9tv1foUpBW3zmFfDUpa509P+zzpSqXdZy3Spam9n8ZD12h+CCtADpPmDmaramVLwk/GLOU8NDtxFO7R5tXRSvpSrfDjji2K2RoGr+RdpwqX7fd/ZgPJ+GNqI3WqwqjTuzh/4KCVti8NGjQ4B4fxOE6G8+qWrrN0d0PPO07lNvvYrRMVy7qAz3c2bQ9tNwqeUa/k+6lqNsO2aCmeq/m4IMO9J3akyqEWqbXxu+bGP/dw9+v0ro4C9NDY89RlW/yIfv7eTUZx5v1dO9KvWfbNgqbRdnHtN+f9R/nuen3Pt5VvdO2s+1nAb3c1Y4hDTURX66wZk2TanZUPzEAyLPQo+OpLjhMo8/ba0TzmTz+nMbgqS2A6Y3rNaog6MMi/OBCdvon622bhuG3WvZ91eF7g+Ej3DvfMdI/rvTzKv2cNO8hZK9/6ZUFbvHi17uqT/b99EEer7yIXqf+Ue95z3Y9fnZv71XL9bsPXG89/7P02JYn6e37SbnXmqTvrzClapbClW6kXe57XHbxt31zsdxwy51up13WDs/NUmm7jV5+ra989Rl9ips27Xpfvdpg0NqHK/X12nTIq27ekg27xvSypkYLZZqfNOkIf5zRBRppTxYBtK4wc+gkNQ/v3GjdVAGsqZUvvabaDx/UrpptqufUuu3t+epzNGLDjboeV/o+lX5OpXXVsNerehTeLNskBS/Rc/Q7hM+V+OtDtlyvs58l5Z4vvX2/Sq818edov7GrHbd99w4Vv8dmm3c3Q/fvX6yR3su973jlywZVjXemlznPPupW9R/pg5nClgUvG9nebkck+nkEL6AzhZkjD1kqX4W52hFA9cIQoZtrhxcBhBTQpv7HFD+vCln8vp1FFe/zZbcWSurXZUNNqAKmccBEz1UHfNHtiKwClueBF0DryTNz6BisQebTKMzVjgBqc/Txn/VTXeSgjv+66EHNi/alqz115aONp/WDH/2iZU52kvp8xdkgq6X5lb7ypXHAjIKavc6ep98/7YkiAIRatvKlwGYfBgphHBSB6k0cP8HfHim8ClX9u+xL45yJLj743R9mFKqvV2+SrnaMNzkmhaty7GpHHWfSnCgCQFyWylduHe7/Nrd049pa6WC4xchBuXV+AzqN9iFdOPD8c8+4vz3zV7f0jcVu0OChbtfd9vRXSm62+buiZ7YOVb62Wl66KXzf0Se6n/70p34+TqHr9NPP8Fc8hh3ytVyPrQO+mi3V4Z7jDNC5VODRcDZ5ZQ59vx227h5rsBZc7Qi0EQWxdtmP4lc7JjU9htTfK2x2VKVMoYvwBSDE1Y5rXqMPC8nSF0PNK+rjcslF34qWAJ2pXYJXUp+vpCsdjSpdGmoiZM2SSZ30AXQmyxx5UGZp+asdtUHSBDi54tLv+j4uP7760lw3LIDmSOrzVS5EzZw504escgOpKrRZ1UzHh7THKgCtTft+nieoyiwtf7Vj2g2i1w8ZMjR61D5n/kAni1e+xIaSsBto2wj2GmpCU7vJdpxCm9aLjg9pT/IAtLawtS0PLVv50obIGpb0+tmvlW48PGDNQZbKF9D64pUvUWf6cDDV+O2GNJ5XOWHlC0DnyrNAU4jKl64gSCPrwVCv32xQ6Yx3xfLlVL6ANhCvfPVbOd9XvMKwZSPYS7g8FFbIRMcHmh0B5KEQla80oUdv3F6nEJXmoKjX9xtQqnwJZ7ZA64tXvqziFbIR7DXOmcKVNUeGHfOtQsY4XwDyVojKVxph+6tCVJqDYjxspQmBAIql3Aj3ClYWsOyWQ1OnTvXrFMb0ON4x3+4LKRwfgGJR0cXuymH3q60X/aw8CzSFqHylFVa+0tDrlywpjddBny+gPSRd7Viadg8foamFMRvLK0m5qyQBNN8jDz3QdVeOh2b8JVpaHyrw5HkC1rKVrzCFaoOkaXbU6+1qxyWLX+fMFmgD8cqXNRvGKXA98MCMHmEspGCmPl8Aim/litJ+X09UvtYIU6g2SJpmR73ernYcMnR9Kl9AG1Dlq8/Wn/FfombDeLDSYwUuG2pC4lUurQ+vitTxIc1JHoD66z9gQF0/w7Xv5135Siu38JV2g9nr0m4QvX7UsNKZLVc7Au3BKl8mqVlRQctCV9gEGR8PTON/2fN0fMhywARQP6p81fMzXPt+nuEuy4lcbuFrxYpl0Vz18kihev3KlaWzWvp8Ae3B+nwZ61y/dvWrtO8rXFnTo6pkusdj0nhgHB+A4qp35UvyDHeFqHzFD5bVyCOF6vU21ASVL6A9dYesns2KCl0aasLWSziv9eF4YDo+0OwIFFO9K195K0TlKy3b0ApRaX4Rvd6udhTObIH2o/BUbhyvCy44P3q0NhtmQlPR8YFmR6CYrPI185EZ7tz/PMsd9qFxbtyBk91F357qnnpC93At1olTISpfaWhDWlhSiErzi+j13NsRaG+qXm065FUftqyvl41cr2ClYJZEzZVhfzGOD0CxfffC893kQ/ZzV//gIvfEY4+4+U/d6i668Fx36EH7uFtuuj56Vjph5shDy1a+FLbCylcaej33dgTam6pXGuXeql8KVNaX6+mnn068GtKGmLC+YACK7cJvnOMHW5WJHzjYnT7lHHfMcZ/yj+WsL5+6Zt9PP3RMmDnyUIjKV9rQY6/TBkmTIvV6rnYE2pvCU9iEqEqW9eXSUBNWEQvZjbYtsAEotpdfnu823nik+8N9T7qrfvRz94XTznDf+NZF7qyzz4ue4brCWVp5FmgKUfnKerWjNkiaFKnXc7Uj0N4UnqyCZVO7t6OUC1dhYBMdH7IcMAHUj4LXb++c4TbddHP/2W5fqn4NHz7cPyfLLYjCzJGHQlS+sl7tmHaD6PV2teOCBa+4//7Pf+u6T5S+1GnP5s8+64tu282HumuvudI/3/zl3rsrLtf3ANA8Sc2GYaVL6+PNjmJBLezzleWACaB+Tvvq2Wv21VLFOjRs6GC37bt38PNZwleYOfJQiMpXWllTaPj6ZUuXdt0jyr7Uac/mdQXFeoMGubvvur3HH+A3t0zz0/hy+yN/dNLRfgqgOVTZsg72IVW0NNSEllvASmLhLc8DL4D8Je2j+pzfaOOR0aNs+3HWzBEqROUrDaXGPA6GXzzj392ee4/r9eugDx/m9t5nXzdv7hy3aPEb0aude/ml+W77HXdxzz/3TI/ld9z2a7fd9ju5rUZvGy0B0AwKT+FgqUaBS0NN2PL4fRzjoU0HXpodgeIqF47Wj/pwSp4BKotCVL4UouK3BOmNUqNtRL0+7S8ydve93fU33dr1dc3Pf5M4f9Jnv+QmfuAQP16IVbXmvviCu+fu6W7q+Re7xWsO0rZc7+WxRx/0gY1mCqC5FJ7C2wSJmhkVutTx3pocrZO9iYc2HWfYn4HWoyKJyaNok4fCVL7S9PuyjagQluUX0evtK3wczutn7f2+/Vz//gPcE48/6tctePUVt+Wo0V3VLVv+9FNPuIULF7p9xu3vHwNoLgWrsPKl/lwKY3OefdTP2zoFMS0vd29HAK1Fn90bb9Ld7Jh2P86rtc0UovIltVa+9MZtIzYiyepn6SqKDTYY7qb//jf+Z077+TXuHe/c1HfoO/ijR7rbb73FL9fgbgppW241Ono1gGayMBU2I6rPl4aasMcSvxoyHtoAtBZ9dlvlK8uoBmFrWx5atvKlN24bURskS4qsln5eKWT9yv39/+a7+f/4uztkzWP9/B13HuNmz3rO9/u66w+3+v5hSVdeAGg8hSmFqDBMWSf7pHAVVsPCcAag9VjlK+t4nmmDW5JCVL7Sbgx7nTZIlhRZLf28Dx58mJ+/954713zd5bbautTkuMuue7j/+/tc99QTj7nHHnnIHXbEx3L9QwFIT2EqLgxXSVdDGvULE+3PjTjJA5CvPPp8ha1teShE5SvNxtCGsNfluUF6s+uuO7tNN9vCnfe963r09xq99VZu7732cp+f8g332msL3d777NfQ9wUgmQ2SGqewpaEmFMLiV0Na3y9NNdCqaH9uxEkegHyp8qWuQJL2czlsbctDISpfq99+u+Y+X9oQzQg3ah59//4H+Bt2vmPkRr6/l+i9vGvr7f3ycePe5975ju4OfgCap9wYXgpbGmpC7KpHq35Zs2PY/JjngRdA46jytXJlKWNk2Y/zzByWHdLo8/Ya0XwmL760LNUvpY24xchB7pkXF0dLGiP848Xft61rRjAEULLNZqXA1adPH/fTn/7Uz5ej0KWAFq98aZmqZppOmnSEP87obJXqF1AM2h8feegBP7/LrruX3TfnzXvRzZ0ze82+PMyPv5mF7lyTV+aw41StCnW1Y5YSXq30c+0rrtxyAM0R9unSVY9W4dKymTNndgUvWx6GsXjli+AFFIf2Rw2Cvvfee/r5cjlCIxXoeVmDV1EU6mpHDooAyrEBVHXVowUr9fPSUBMWrixoab2aIQf3XdA1RIVwUgUUk+WHNOOFVksFnrDVq5kKdbUjAJSjKpeElazu0NXzKkct32DQ225V/5F+as8D0LlU4CnKCVihrnZsZLMjgNahKlZ4NaM1OVro0nI1NYbscVj5AtDZ2q7ylfVqR20Qmh0BJNFQEeFwEwpbFsY01ITClSpiIauQ2Uj3ouMMJ3lAZ9K+33aVr759+qRqqw0rXwCQRCFKYUohyzrV28CpGmpC68sJQ5mOM5zkAZ1J+37bVb4ky9WOAFCOwlbY50tVMFXDFMQqBS9jVbOiHHgBNEfbVb4ky9WOAFCOAlbY50tXM9r4XRpqojd6nujAS7MjgGZrauVLLIXSFwNAOap8vfTSK2tVwBTGNNSELdc0HAfMOt1baNNxhmZHAM3W1MqXwpZVvuiLAaCcsPJl432FVzHaemuOtGBm/b3seXRzADpXmDmaLdfwVSuFrbDyBQBJFJ7Uwd6qWQpW4VWMtt6aI+Oscz6AzhVmjmbLLXwNXjddeAorXzQ7AkhiFS1NVc1S2LKqloaaEIUxq3ZZSLOpXgsAbVf5euPNt2ru86WwFVa+aHYEkEQVrbAZ0apbWmZDTdg60fqwU749X8cZTvKAzhRmjmZrap8vha2w8gUASRSuQvGgFaf1Fsg0Da925CQP6Exh5mi2pvb5EkIXgN6o+TC8nVDo6aef9svtysYkFt6KcuAF0BxtWfmqVZGuPABQXApP4ThfRqFLQ01YlSsuHtp04KXZEUBW6maVJb/0eXuNaD6TBa+vcH9/+fU1B7naS/rbbj7UzZm/1C1a/Eaq1wNonAWvvuJGbLhR9Kg2Hz/jKrd8xeroUT4evfE0t/PhF0aP8rHV5hu6b3z5sOgRgHaizPHMi4ujR+kpfG2+yXrRo9rkFr5efGlZqnKe3vwWIwflsiEA1N/+e2/vfnfnjJpPlLSvH3LKZe6RaV90ffr0cUuWrXSD1+3n3nhzlZ+KluuQZNO4pPVJ87W8PqTlel/7HPs9d/13Px0tBdAOVPUeNnRwrpljm81K/Ulr1fRmRwtsND8CxXfJRd9y8+bOcT+84vvRkuqFJ2cKPkPWKzUFxoOXWEAKlVs/duxYP037emPr7f0AaC86Ycyzz1eW3JJb+Eozzld45QF9MYDi++EP/sdPv/8/38i8v4YBKAxGptr1Dz74YKbXS9J6AO0nr0JPmtsphnILX2nG+ZKw8kV/L6C4VPVauHChn1+2dKmvfmU9kFkAKhd8mr0eQPsIW9uyqnVorbhcmx2z3tsRQHFZ1cuo+qWLZLKw4KNpkmrW33HHHZleX2k9gPYRtrblIUtuaWqfr7zbXwHUR1j1Mqp+XXvNldGj2lnwkaQAVO36CRMmZHq9JK0H0H7yzBxZglxT+3xJnikUQH3Eq17mwvP/M1XfrzD4mDAANXs9AFTS0n2+wvZXhbCsHXgB5O+pJ2a6Iz92vDvtK2e7kz77Jb9M8/o6+XNnuHkvzvHLqpUUfIwFoGavB4BK1M1qxPpr33GjWrmN86Wxev7+Su3hSaGLcb6A4tI+qpMkq1Jn2V+P+MIVXeN8JR16bHkt63fbbTd/xaOkeX3Ilu8y6TuM8wW0GRV48hrnS8WmrTcbET2qXY7Njv1SleHCyheA4rF9VNO89lcLQKEwENWyPh68pJbXm3A9gPaTZz/ztrrakWZHoNjC/TWrMAAlBZ9mrwfQfvIq9GTNK7mGr1rfTJhCtUEY5wsotrzOGo0FoHLBp9nrAbQPZZS8jmFZ80qu4SvNm8nzTBpAa7Hgo2mSataH07hqXl9pPYD2oYySV+Urq6ZWvvJMoQAaJ48DmAUfSQpAzV4PoP3klTkK1exYa+WrSCkUQO/CSnWWg08YfEwYgJq9HgAqKVSzY5qDsaVQHdSzJkkA9RNWqrW/pj34JAUfYwGolvVjx46N5tK9PmTrAaCemlr50sE8PJPOmiQB1E9Yqc5Suq8UcCwY1bLehpqQNK8P2XoA7SfMHFllLRY1tfKlg3l4Jg2g2LKErlBSAAqDT7PXA2g/YebIKmuxqKmVLwnPpLMmSQCtIwxAScGn2vXTp0/P9HpJWg+g/VD5WkPPDytfWZMkgMbQ/prHyZIFoHLBp5r1EyZMyPR6ghfQGcLMkVVLV770/LDyBaC4dOAK99c8TpYs+GiapJr14TSumtdXWg+gfYSZo9maWvkSQhfQGnTgCivVWVnwkaQA1Oz1ANpPXpkja+W/qZWv8EwaQPGFla8sB58w+JgwANWy3oaaSPt6E64HgEqyVv6bWvmKn0lnTZIA6kf7Z7i/pj34JAUfYwGolvXhUBNpXh+y9QBQT02tfEl4Jp01SQKoH+2f4f6aVqWAY8Go2esBtJ88W9uyFouaWvmKn0kDKLYsoSuUFIDC4FPLeg01IWlfb8L1ANpP2NqWVdZiUVMrX/Ez6axJEkDrCANQUvCpdr2GmsjyeklaD6D9UPmKhJWvrEkSQGNof83jZMkCULngU836cBpXzesJXkBnCFvbsmrpypc2RFj5AlBc8f01j5MlCz6aJqlmfTiNq+b1ldYDaB9ha1uzNbXypQ1B6AJaQ7i/5nEAs+AjSQGo2vUaaiLL6yVpPYD2k1fmyFr5b2rlS4qSQgH0Lqx8ZTn4hMHHhAGolvU21ETa15twPQBUkrXy39TKl54fnklnTZIA6ie+v6Y9+CQFH2MBqNnrAaCemlr50vPDM+msSRJA/cT317QqBRwLRrWst6EmJM3rQ7YeQPvRCaQdw7LKWixqauVLwjNpAMWWJXSFkgJQGHxqWa+hJiTt6024HkD70QlkXsewrMWipla+whSqDZI1SQJoHWEASgo+zV4PoP1Q+VojTKHaIFmTJIDG0P6ax8mSBaBywaea9eE0rprXE7yAzqBjFpWvSFj5AlBcOnCF+2seJ0sWfDRNUs16DTWR5fWV1gNoHzpm5VX5yqqpla88UyiA+tKBK6xUZ2XBR5ICULXrNdREltdL0noA7SevzJG18t/UyleRUiiA3oWVrywHnzD4mDAANXs9OsPMR2a4v9x7t3vqiZnRkm6V1gFZK/9NrXxJeCadNUkCqJ+wUq39Ne3BJyn4GAtAtawPh5pI8/qQrUdnOO6oD7njjvyQm3rOlGhJt0rrgKyaWvnSwTw8k86aJAHUT1ipzlK6rxRwLBjVst6GmpA0rw/ZerQ//S+PGLGRn1+yZLGfmkrr0LrCzJFV1mJRUytfOpiHZ9IAii1L6AolBaAw+DR7Pdqf/pdXLF/u54cMGdrjM6jSOrSuMHNklbVY1NTKl9g/tTZI1iQJdDr1T9l286H+64Lzzo6WFlMYgJKCT7PXo72FgWr2a4N6fChXWofWlleQbunKl55v/9TaIFmTJNDpXn99UTTn3IABA6O5/Gl/zeNkyQJQueBTzfpwGlfN6wlenSkMVNu/Y2WPD+VK69C6wsyRVUtXvvR8+6fmzALI14oVpWaTvOjAFe6veZwsWfDRNEmz16N96X95wMDSCcr8lxf0+AwKw9aiRYv8ujxONtBcYeZotqZWvoTQBdSHKl95Hmh04LL9NY/va8FHkgJQs9cjGzWBq+lbXwtefSVa2pM+M+w5lYZ0+PUvb/DP+eEVF0dL1qZhIS656Fvu5BOO9F+a17Jy9L9cqc+X6TdgkF9Xy8mGfi/9/LPP+qI77EPj3KmfPsY/njfvxegZ5dnvqist9dpKr7v2mit7bDtN9buPO3CyO/OLnyz7ulq3VVya18ffq7aRfldtI/2uvf0P5CWvzJE1jPdZc9ApHX1y8Le5S6K56ujNDxs62G0xcpB75kWuKAGy0gFQBzI56bNfcqdPOcfP50UfQra/av+ttfp1xBeucI9M+2KP4BOy5bWs11AT48eP9/NpXh+y5btM+o67/rufjpYijfB/8bSvnO1O+fyX/XwofM74Az7oLr3q534+pP+5sTuMci+/PN/tufc4d83PfxOtKVHAmHLaSWU//PWa717yIzdiw9LViyb8viO3+4C7+7YbojWldXuPfbebN3fOWut6o/dx4icnu2VLl0ZLerr5d/e47bbfKXrU7flnn3Gnfe74sgHkmOM+5c6Z+p3oUc/3r339fftOdCcc+1G3cuWK6BnOP1+vM2m3lcljW+u9Hn3cp93nPvMx98Rjj0TP6Bb/PetBfWLzyBzbbDYkmqtdoa52zJokAXTLu8+X9s9wf601eJlywUcqBSNJWh8ONZHm9SFbj+x22XX3aM65P9/dPRZbaPrvfxvNOXf3nXf4/6u4+++/339oy1HHHu+nRmHgQ+N382Ggf/8B/oP9+1dc66Z+6/tdoUPrDjlgr7U+X8IKyLYbLe3xs7XOqmKjh72U+L6S6P0oTCp4KWDpvVx7420+TLx/vwP8c8J+mWbuiy+4g/Yf2xW89FwFVv0+W265pV+mylEYzML3/9ya4GbBS8/X69cbNMitP2xY13vPsq0kr22t93rkIfv74KX3qNd++COT/fcU/Z6XXfxtP9/OCnW1Y9qDOYC15d3nS/tnuL+mVSngWDBq9npkp1YNfaiKPpSTmh7v+/Nd0ZzzweGuu+6MHnW75+4/RHPOjdltr2iu5EdXXuKDjj64b7jlD+5r/+/r7uBDDnWTjzrOfeNbF/lgIApvV13+PT9v9L9sfb6Wrvke4f90GLZW9RlS1f+7XvOrm66PHjl39U9udhM/cLAbu/ve7vhPneiuuOZGN/3Pj/cIpebrZ58RzTl34cVXux//7GZfKdTv88e/POmX6Xdcf4Ph0bN6vsfbb/2V334KRHq+Xv/0rFf89td713OzbCvJuq2N3qtVwPQe9dpLfvAjd+tdD3UFsO//zzf8NG8KheF7ySIpoNaiUFc7AshP3n2+JEvoCiUFoDD4NHt9NdRMhPL0vzLxAx+OHjl37z09g5UqQPEmtj/ddXs01+22397sp9vvuIvbelSpCiR67dU/uMjP/9s53/SVJv1M+x/VVMHAmvh+8fP/7bE/aL1Vt6xfl7HvYarZj/QaC5gKEe98x0g/L/b9Ntv8XWsVGRRMrQKoKtCkyUd1PV9TfSlEPTf3Nbfpppv75WLPMXqtApG9Jlz/8MMPZ9pWeWzrkKp66hJh30Nf2jb7jj/Qr1fIU6Utb9r28feSVtZiUaGudsyaJAF0U+UrrwNNPYQBKCn4VLt+7NixmV4vSevLUbPIPruOdr+44SfREpSjyo+5/dZfR3Mld9/5ez/deOORXRWyX93cs2+VPhOe+euTfv7ADx7a4//5kYceiOace3/0oZ1kr/fu66ezZ8/u8fowHGgU+/g6q4rF15Wj11hfJ1Whrr7ycj/fm/D3mHTkcWV/Vny5vX8FPTXfnXX2eWVfm3Vb5bGtbXsqoCX1/5Nx+06M5px79eWXorl8hX/3LFq68iX2B9IGyZokAXTrlHG+ZsyYken11QYvC126OkvNJoMGD43WoBwd09UJW/58d88+XRbGJh50sNvn/aULJtTBPax4WHOafOTwo/zU/H3enGjOuV/e+DN/tVz4ddG3p/rpk493d+oOv3cYDvIY4V6vOeLoT7jhw0tNg/o/+fRxh/sbdFcS/h7/vN320Vzv7P1r++y081jfzFvO7FnPRXPptlXW14fbc/31u/uhVbJsWfIFC1nomBX+3bNo6cqXNoT9EfLaIABKGOcr+3qJhy6z9A2u0K7Ghw6Z5KcLFy509913n5/X/9H995aumFO145CPHuHn5Y/Tb4vmnLv/vj/5qapjYZObqOO2ufCb5/hO2uHXRRee66dq1jPrrbteNNezGpM0wn25dZWo8nXtjbd3dZL/452/d5MP2c/tv/f2/r3E6edY87UqWLXsU7W8xxfnzIrmqt9WRj8nzevj2zqU9F71nP4DSn2+6kXbN/5emiXXoSYef+6VVAfkvC77BDqdDn526f7nTzvTnTHl36v+4KiW9tc583t2UK6WDTUhFnxM2sc21ERe30801MSFXz7ATfrwOB8aUD11pA6HOFEFZP+93uPntU79kp6bNbtr2WPPvuw/N4756H6+iqmmSl1FJ3vutIXf/va68H9OVSWFG9H/er814UWBWBXJVStX9His6bvfs2OP/lSiUK1Arf+fH177q8R148aNcz+54daa/98VRqZdd7VvgjPqt3bdL37f43NS+6v2W4Uv9euq5edUev+hWrfVzmN279FknOe2ThouxNzws2vcWV8+1c/rOVY1zVsemUMnoztsnTwkRzWaOs6XKIUyzheQjzB8xT8E8xDurzr41HqyVY9xvpLma3l9yJYrfN1yyUk+JFx+8QW++hUXBgJtF6bd05CWfXDie/3QAurvc+v0+9x3LzzfN1OpQnTb3Y/552mgTlVVRIFMFaFDD9rHP45/EOt7nv1vX+3qBG6fH/Gf39v7srGn1G/w2pu6LwjQOhvny9bV+v+u7yEaKuPc/zjdB0tRx/hwHKspXzrZ3Xh9qf+gBdFqVHr/IT0v67Y69z/Pym1bt0v4kpYd50vPtz+S/ji1vh5AeZ0yzlcor/Wi31VNXfqg/MN9T3Z1Cjfh9rXtsmLFMj/t1Mc2DWnZ+6I+Xbpq7qVXFriHZ5SaHz/w4cP9VPYLOnI/PvNhd2fU/KiK0L777ufnjb5nOJCnxsmS+M/v7X2ZpKsd41dC1vr/ru+hr512KQUjNZ1K2HldNt6k+6rIp596IprrXaX3H9Lzsm6rPLc1Sgp1tWPagzmAtTHO19qqXR+nEKaxiBTCbEDJpKtJV7uefVY67XE5h00+Nppz7tc33+AHVJWd93i/n8qYMWO6Asovf/GzroFZ1R8s6f/t/ft1Xxn3g0sujOaqp//lvPt8VaILC+TZZ/7qp0Yj05tpP78mmlubQk9YoKjlPWbdVnls6yLQ9svrvWQtFhXqakcA+emUcb7U5CJpX2/C9Un0u4eVsPBDE5VtNXrbrmD1vQvP9VfoqaI1cXz33Qm0fS2g3P67X7mHHvyLnw/7HoXUhGmjxqtZWE1W5ag5PuwMLvp55Uax1zr1XZL46PeV6KKM+M8RjWmm30l23W3PHt9PTWvhKPa632FIn6tqkh3/3h16VM0qvf+4+Lb61c3dg8HG6f3PeODe6FFJra9P2tZFoBPIvN5L1mJRoa52zJokAXTrlHG+HnzwwUyvl6T1lSiE1as/Srs6/MhS9Uv9fmSnnXb005CN86Tn2BAT44KqS0ifHeec910f4kR9hdRHLBwC4bTPHu87eqsfZHwA1zCsxEex1zp1Hhcb/b63zye95obrrvE/S1/h+/jgfmO7fu+jP37CWvvlf32zNDq86D3r91A/K92Qe/zeO3T1hVtvvUF+KpXef5Jvfqd73LEvfe6Eitvqzjt+Fz2zm15v27q311fa1s2W13vJmleaWvkKU6g2SNYkCaDb3BfndJ2Fxr/CM2jttzv/80jfCdW+KlURRPtrHidLFoDKBZ9mr0d+4pXC909Yu6IVD1q62Xa58av02aEQrNvSqDIj6lMWDoGgKpJCj8beOuCgj/jnmHhYCT+Uta7WPl96zcc/eZKf1z4Wvg+9BwUXXQCjqwDjrBO6jRFmI8rbrXj0WlVc1X/MVHr/SdRvS7c3qmZb7TfhIP+ckF5fzbZWhTP++vh7bRYds/J6L1nzClc7Am1EB32deVZDB/vNttjSHThulzUfehPcD388zS//8TU/9FUE3atNtwwxOnDpgzDL/hoONSEWfMoFoGrW33HHHf7m2mlfn7ReVzte/91PR4+QBx3rdZXjijX/Rxqa4IQTP7fWB5ie86tbbnZ/e+avvtnvqGNP8Led6Y1ed889f3IP3n+vW7J4kT+5sHsoKvQlVSn1mmk3/MzNeWG22+JdW/a4oKLSut6ob9avfznN32pIg46+d1zpYoNj/+UzfoDRStQ8qfHP9PvPuP/Pa4LOju5do0b7fm9J2yrNe+xtW+nihkoBJe9tHdIx5vI1QU5V+8+c+qVet1caei95ZY4sVzs2dZwvbWg9P6/LPoFOF46p1Jtrb7zN3fbbW/zNjW/+3T3RUpXDV7gTjjvan8X+/OY71tqntb8WaZyv+NRkeUz4qg998DWyClLNz6v0nEa/37is779oqn2v9f6d8sgcyi9ZxvkqzNWOALLTjYfve2SWD1bhl6pc4by+xu6+t/vVTT/v6ghtBgxYz229zbv9VVmvvPJytLTE9lcdGHXwSSsefESPtVyavR710eiQUM3Pq/ScRr/fuKzvv2iqfa+t8DvVmnfiCjPCvc6kFy1+I/MvBKBEFSwNBRCfGlXJ1ORoHZvj1M/koafmrbVPZq18PXrjaWsFn1BSMArF1/f2OK6a9TsffiGVL6BN5dXaVphBVmsNTjpzDs+kCV5Afixoxaehfv37+UvIFaZ0MAqnutVJuX0yy5mpgo8CThILRrWst6EmJM3rQ7YeQPsJM0dWWSr/UqirHQE0zkYbbeyGDB7aNVCj2P6oaZaA1ZukABQGn1rWa6gJSft6E64H0H7CzJFV1mJRUytfklcfEgC10ZWLO++6u7tr+m3+Hoa9yfOsUcIAlBR8mr0eQPuh8rWGnm8pVBska5IEUD3te18755t+/nOf+ViP/VejWH/6uO777km8Up314CMWgMoFn2avB9A+wsyRVUtXvvT8sPIFoLE0SKX6dr30j/9zO47e2HdE1dcdt/3aXXHNjdGzuoX7ax4nSxZ8NE1SzfpwGlfN6yutB9A+wszRbE2tfAmhC2gu7YMzHp/Vo7P9j392c7S2J9tf8ziAWfCRpADU7PUA2k9emSNr5b+plS+9+aKkUKCT6YBkB6Vwvhytz3LwCYOPCQNQs9cDQCVZK/9NrXzpzdtBXiEsa5IE0BjaX9MefJKCj7EAVMv6cKiJNK8P2XoAqKemVr7EKl8KYVmTJID6CSvVvVXGKqkUcCwY1bLehpqQNK8P2XoA7SfP1rasxaKmVr70/LDyBaC4wkp1VkkBKAw+zV4PoP3keQzLWixqauVLzw/PpLMmSQD1ledJUhiAkoJPteunT5+e6fWStB5A+6HyFQkrX1mTJID6iVeq8zhZsgBULvhUs37ChAmZXk/wAjpDeAzLqqUrX9oQYeULQHHFK9V5nCxZ8NE0STXrw2lcNa+vtB5A+wiPYc3W1MqXNgShC2gdYeUrKws+khSAmr0eQPvJK3Nkrfw3tfIlRUmhACqLV6qzHHzC4GPCAFTLehtqIu3rTbgeACrJWvlvauVLzw/PpLMmSQD1E1aqtb+mPfgkBR9jAaiW9eFQE2leH7L1AFBPTa186fnhmXTWJAmgvsL9Na1KAceCUbPXA2g/YfU+q6zFoqZWviQ8kwZQXGGlOqukABQGn1rWa6gJSft6E64H0H7C6n1WWYtFTa18hSlUGyRrkgRQP2GlOg9hAEoKPtWu11ATWV4vSesBtB8qX2uEKVQbJGuSBFBf4f6ax8mSBaBywaea9eE0rprXE7yAzqBjFpWvSFj5AtAatL/mcbJkwUfTJNWsD6dx1by+0noA7UPHrDyr91k0tfKVZwoF0Dh5HMAs+EhSAKp2vYaayPJ6SVoPoP3klTmyVv6bWvkqUgoFUJkONmGlOsvBJww+JgxAtay3oSbSvt6E6wGgkqyV/6ZWvsRSqA7qWZMkgPrRwSbcX9MefJKCj7EA1Oz1AFBPTa18xc+ksyZJAPUV7q9pVQo4FoxqWW9DTUia14dsPYD2E2aOrLIWi5pa+YqfSQMoLu3fWUJXKCkAhcGnlvUaakLSvt6E6wG0nzBzZJW1WNTUypeEZ9JZkySA+tH+nedJUhiAkoJPM9f/46nfRXMA2gmVrzXCM2ltkKxJEkB9hftrHidLFoDiwchUsz6cxlXz+qT185+6NZoD0C7CzJFVS1e+wjPpvDYIgPrT/prHyZIFH02TVLNeQ01keX2l9QDaR5g5mq2plS8hdAGtJ48DmAUfSQpA1a7XUBNZXi/x9TsffmE0B6Cd5JU5slb+m1r50psvSgoFUFm4v+oAluXgEwYfEwagZq8HgEqyVv6bWvnSm7cUqoN61iQJoH7i+2vag09S8DEWgGpZHw41keb1IVsPAPXUlMrX3BdfcH+59+6uL7nrrjvdIw894B9rPYDiCStfaVUKOBaMallvQ01ImteHbP2jN54WLQHQLvJsbctaLGpK5WvBq6+44478UNeXhI8Xv77ILwPQfL/+5Q1u282H+q8tRg7yy+yxvrS+VkkByIKPNHu9UI0H2ktYvc8qbeXfNKXytccee7jx48dHj3p6/34HuO223yl6BKDZJk0+ym255ZbRo560/MMfmRw9qk0YgOLBR5q9XgfprAdYAMXS0ZUvHdS+8JX/ih71dPqU/8ht4wDITvvrV/7t3OhRT1qeZX+1ABQPPqaa9eE0rprXl1vPcQhoL8ooHV35kjFjxqxV/bKqV14bB0A+Dj7k0LUq0no88QMHZ9pfLfhomqRZ6zXUhH4vmh2B9qGMUpSTqqZUvkQHtnj166yzz4vmABSJ9tcTT+3ZCf3zp52Z6UBmwUeSAlCz10vas1v1gzvsQ+PcuAMnu2M+ul+PeX1dcN7Z7qknZkbPBtAoeRV3CtXsWOuBKqx+qeq11ehtOdMECkp9v6z6pb5eWapeYfAxYQCqZb0NNZH29SZcn9X99/3JPfHYI/42RTNmzOgxr6/LLv62O/Sgfdypnz6GYx7QgrI2O/ZZc8DpeQTK4PHnXqn5DensTweha37+G7fn3uP8sj132sItXLjQz8sf7nvSbbrp5n5+538e6ZYtXernhXWsY12+6ypRRee0zx7vvn/Ftb4pstbwdcQXrvDDOFQ67CQFo1B8fW+P46pZL8+8uNhP01Couv3WX/n5G265061cucI99uhDbvXy19wL8152115zpV8n4w/4oLv0qp9HjwDUm67SzrJ/m202GxLN1S7X8PW3uUuiueqp2eLH1/zQTT7quGhJaZkO6jYNsY51rOtWj3WV6Plf/Nxn3HnfvjRaUhuFr7wpzOV9OyB9zywH57PP+mJXwHr2xVfdgAHr9djer7++yB3wvh27TjLDk08A9aEq87Chg/2QOVnDl77XDltvFD2qXdMrXwA6Szz4ZZ3qLHbO/KVVPbfaqX3PRYvfSHVMCytf5b6P+n2p+VFO+8rZ7pTPf9nPA6ivIlS+mtrnC0Bn0dmiwo0okMiKFcv8VMttfV+3oqqpwtLYsWN7fI9qXxufit6TvqdoWdpj2sabjIzmyn+f9+07MZpz7rFHZ0RzAOrJ9u+ssvbVbNrVjgA6TxhCbH61G+CnEl/W21TB5tqb7ux6LL29ptxU9PP1PbOeFb/80vxorvzB/pWXu5+z85jdc/tQAJAsPPnLKumEqhZUvgAgZ/HKV5yC1nU/vip65Nwuu+6e24cCgGTKKEU5yaHyBaCl2c35i6RS5WvevBfdCZ84sut9a8iOfffdz88DqK+8TnIK1exI5QtAo9nN+fOkDrlZhJWvcIBVfd/993pPV2d8jW+oYTuoegGtpVDNjlS+ADSDqktFOv6ElS8NqmoDrIY0vMSPf3Zz9AhAJ6HyBaAlKWxZk54qR3kcf8LvmUVY+br2xtt80JoyZYqvdJkvffZ49+xzz0ePANRbXvu3ZD3Zo/IFoCUpbCl0bb/jLrkdUO17SpZqWlj52mef97m9997TnfDZr/lK1+lTzvHLX355vjvz9FP8PID6C/fvrLKe7FH5AtDSfnv7n3PvM6WhJrJU0+JXO9pwFpr/wmln+E72ok73umUTgMag8gUAOcg7eOWh0tWOer+fP+3M6JHzQ07k9YEAoDxllLyOF1S+AHS0Ig410ds4X2PGjPHNpaL3//DDD/t5APWjjFKUEx0qXwBaWhGHmggrX0kUyI79lxOjR87dNO26aA5APeVV+SpUsyOVLwCtTAfUPM6Mw8pXOZOPOs7171/qC/bjH17GySvQQgrV7MjBA0AzKDDlcfzRAdXOjLN8z0p9vkIf/+RJfrpy5Qr3+9/d4ucBtD8qXwBaloKN+k4pMOV1/LGwlOV79tbnS/RzPjrp6OiRc1de9j/RHIB6yKuyLVlP9vq8vUY0n9njz71CAAPQUDqY5tmPI49j2FNPzHS/uWWae9eo0e7jx32y4vu74WfX+EqZAltvzwWQnfp0ajiZrLbZbEg0V7tcw9ff5i6J5gCgs1UbCvMMjwAq0/62xchBmcOXTtR22Hqj6FHt6PMFoKUVcagJqTZQEbyAxlBGyWt/y1ohp88XgJZWxKEmABSPMkpefb6yovIFAAA6Ql6Vr6x5h8oXgMJ6/tlnornG0AG12jPjRr83AMVRqGZHKl8A8vSt8852B+0/tuLNp8eOHZtbU4IOqHZmrO+ZdEy79por3e47bO5u/e0voyUAUBsqXwAKS8MvqMJ02mePLxvCrr3pztw7retKKH3P8Jim0LXPrqPd2Wd90S1a9Jpb+kb2S9UBNE4tle3eFKrZkcoXgDyFI8VbCDv0oH0qVsLyFoaul1/ufj8DBgyM5gC0grCynVXWYhPjfAEd7ILzznaXXfzt6FFr2W77ndz3r7zOzZ0z2+2597hoaX7mzXvRHXnI/j0CVys5Z+p33DHHfSp6BEBU+SrCOF+McA90OB2MdDZYxOkpn/lEYpXrpM9+yX3m1C+59dcfltto1SF9zznzl7rnZs12F13w3+7G638Sren2+dPOdGdM+Xc/X+3v04wpgBIFJmWUIoxwT58voMPZB/SKFcv8tCiPNV1/2DA/L/37D/CVnAefmOtOn3KOD14KGHkK+4To52+66ebuO9/7gfvDfU+uVUVasWK5f074fiXv7VDr40WL3/BTewygRBkl72NGWvT5AuCtdgOiuZJmPxb1+VLoUqXr3keed9/41kU+dBkLGDqg5nH80cE5/J6ixwphasZTCPvwRyb75erzlXQgz3s71PqYk2CgvLxOSrIeb+jzBaCwdOsg9e0KA1dI4eeDE9/rfvGb/G4xpO9ZqU+I1qs5sl59zQDUV9vdWJs+XwAaTWEoz7NZjmFAe6PPFwBklFfwEo5hQPsK+3RmlbXZkT5fAFqamiYBoDc6ucrrZC3riRqVLwAt7bgjPxTN5UfNEgDaD5UvAACABlFGofIFAAWjg3NeZ8YAikUZpSj7N5UvAC1t7NixuR1QdXC2M2N9T45pQHvJ88roLBjnCwAAtK3bb/2V+98rv++WLFnsT6pmzJjhx+jT4yFDhrqjP35C1+DJtWCcLwAAgASqUu2x07vcsqVLoyXdhg8f7v4yc070qDaM8wUAAJBg2NDBbsq/TY0e9XTCSV+M5mpTqGZHKl8AAKBokqpfWapeQuULAACgjKTqV9qql1D5AgAA6EVY/dp445HunoeejdakQ+ULAACggrD69YlPneqnTaPKV70tWbaSKVOmTHOdSjhfD+V+FvMlzJcwX9IK85put/1Ofr6Zcm12/I/j+0RzAAAA7es/rk4fn3JtdgQAAEBlhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0UJ+314jmAQAAUGdUvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACgYZz7/+3QmSqqjcRXAAAAAElFTkSuQmCC\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":51783,"title":"Solve an ODE: equation B","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.25px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 106.625px; transform-origin: 407px 106.625px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211.358px 7.91667px; transform-origin: 211.358px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to solve the following ordinary differential equation:  \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 39px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 19.5px; text-align: left; transform-origin: 384px 19.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y\u0026quot; + (1/x) y' - (a^2 + p^2/x^2) y = 0\" style=\"width: 181.5px; height: 39px;\" width=\"181.5\" height=\"39\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.125px; text-align: left; transform-origin: 384px 21.125px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.3917px 7.91667px; transform-origin: 14.3917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewith \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y(x1) = y1\" style=\"width: 64.5px; height: 20px;\" width=\"64.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35.0083px 7.91667px; transform-origin: 35.0083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and either \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y(x0) = y0\" style=\"width: 64.5px; height: 20px;\" width=\"64.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.1083px 7.91667px; transform-origin: 10.1083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y'(x0) = y'0\" style=\"width: 74px; height: 20px;\" width=\"74\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.1167px 7.91667px; transform-origin: 38.1167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Along with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 7.91667px; transform-origin: 7.7px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ey1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.275px 7.91667px; transform-origin: 25.275px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, one of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 7.91667px; transform-origin: 7.7px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ey0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 7.91667px; transform-origin: 15.5583px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.55px 7.91667px; transform-origin: 11.55px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eyp0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 109.708px 7.91667px; transform-origin: 109.708px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be assigned numerical values, and the other will be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.55px 7.91667px; transform-origin: 11.55px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eNaN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 128.742px 7.91667px; transform-origin: 128.742px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The function should return the values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.9px 7.91667px; transform-origin: 80.9px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at the specified values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 194.483px 7.91667px; transform-origin: 194.483px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOne of the applications for this equation is in groundwater. For \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a = 1\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 7.91667px; transform-origin: 15.5583px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"p = 0\" style=\"width: 38px; height: 18px;\" width=\"38\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 136.567px 7.91667px; transform-origin: 136.567px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e the equation arises in the flow of water to a well pumping in a leaky confined aquifer; the independent variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 141.975px 7.91667px; transform-origin: 141.975px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the normalized distance from the well, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 7.91667px; transform-origin: 8.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is related to the piezometric head, a combination of the elevation and pressure of the water. Specifying the derivative at a point amounts to specifying the flow to the well.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 7.91667px; transform-origin: 3.88333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = solveODEB(x,coeff,Xbc,bc)\r\n%  y = values of the solution\r\n%  x = values of the independent variable where the solution is requested\r\n%  coeff = [a p], the two parameters in the ODE\r\n%  Xbc = values of x where the boundary conditions are specifified\r\n%  bc = [y0 yp0 y1] = boundary values (see description)\r\n\r\n  y = f(x,coeff,Xbc,bc);\r\nend","test_suite":"%%\r\ncoeff = [1 0];\r\nXbc = [1 4];\r\nbc = [1 NaN 0];\r\nx = linspace(1,4,7);\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [1 0.505461057363874 0.265959532078956 0.140787844664873 0.071276733472728 0.029333752731051 0];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n\r\n%%\r\ncoeff = [3 1];\r\nXbc = [0.5 4.5];\r\nbc = [0 NaN 2];\r\nx = [cos(pi/4) cos(pi/6) sqrt(2) (1+sqrt(5))/2 sqrt(3) sqrt(5) exp(1) pi 4+psi(1)];\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [0.000035290165611 0.000065476121971 0.000315436935125 0.000552779648598 0.000757412623201 0.003086031722519 0.012031119481478 0.040129255417251 0.089700339919646];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n\r\n%%\r\ncoeff = [1 1/2];\r\nXbc = [1 5];\r\nbc = [4 NaN -1];\r\nx = 1.2:0.75:4.95;\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [2.974028994378906 1.041176175714286 0.308462205553512 -0.076175488441917 -0.426089583908447 -0.952692417292867];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n\r\n%%\r\ncoeff = [2 4];\r\nXbc = [1 Inf];\r\nbc = [3 NaN 0];\r\nx = 1:2:9;\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [3 0.005688558853080 0.000051725255081 0.000000653418086 0.000000009396692];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n%-------------------------------\r\n%%\r\ncoeff = [1 0];\r\nXbc = [1 4];\r\nbc = [NaN 1 0];\r\nx = linspace(1,4,7);\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [-0.696760997897786 -0.352185550727323 -0.185310228971762 -0.098095479140575 -0.049662847941353 -0.020438614824974 0];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n \r\n%%\r\ncoeff = [3 1];\r\nXbc = [0.5 4.5];\r\nbc = [NaN 0 2];\r\nx = [cos(pi/4) cos(pi/6) sqrt(2) (1+sqrt(5))/2 sqrt(3) sqrt(5) exp(1) pi 4+psi(1)];\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [0.000053997354167 0.000075728700374 0.000316920386259 0.000553525214653 0.000757922298088 0.003086129240342 0.012031140116004 0.040129260776539 0.089700342119009];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n\r\n%%\r\ncoeff = [1 1/2];\r\nXbc = [1 5];\r\nbc = [NaN 4 -1];\r\nx = 1.2:0.75:4.95;\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [-2.047695617799804 -0.816404083826666 -0.431398160565887 -0.374418157507686 -0.532801281305956 -0.958228725044217];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n\r\n%%\r\ncoeff = [1 0];\r\nXbc = [1 Inf];\r\nbc = [NaN 3 0];\r\nx = 1:2:9;\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [-2.098451806781317 -0.173147136186896 -0.018397012773047 -0.002117248575316 -0.000253600440751];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-05-16T01:10:22.000Z","updated_at":"2025-05-09T06:39:10.000Z","published_at":"2021-05-16T01:19:31.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to solve the following ordinary differential equation:  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\u0026quot; + (1/x) y' - (a^2 + p^2/x^2) y = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{d^2y}{dx^2} +\\\\frac{1}{x} \\\\frac{dy}{dx}-\\\\left(a^2+\\\\frac{p^2}{x^2}\\\\right)y = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewith \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y(x1) = y1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey(x_1) = y_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and either \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y(x0) = y0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey(x_0) = y_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y'(x0) = y'0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\\\\prime(x_0) = y\\\\prime_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Along with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, one of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eyp0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e will be assigned numerical values, and the other will be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNaN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. The function should return the values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at the specified values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOne of the applications for this equation is in groundwater. For \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a = 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea = 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"p = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e the equation arises in the flow of water to a well pumping in a leaky confined aquifer; the independent variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the normalized distance from the well, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is related to the piezometric head, a combination of the elevation and pressure of the water. Specifying the derivative at a point amounts to specifying the flow to the well.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":53975,"title":"Compute the effective conductivity of more heterogeneous aquifers","description":"Cody Problem 52070 asked for a function to compute the effective hydraulic conductivity of a heterogeneous aquifer—or the single value of conductivity set such that the aquifer produces the same flow under the same total change in head. In that problem, the aquifer had soil units either in series only or in parallel only. \r\nWrite a function to compute the effective conductivity for two-dimensional flow in an aquifer with a more complicated distribution of conductivity. Flow is left to right, or to the east, as in the figure below. No flow occurs across the north and south boundaries. Assume the head difference is small enough that Darcy’s law applies. Use the conductivity specified on the equally-spaced grid provided.  \r\nFor example, if in the aquifer below  = 0.1 m/d,  = 0.2 m/d,  = 0.01 m/d, and  = 20 m/d, then the effective conductivity is 0.092 m/d.  \r\nHint: The simple formulas that work for soil units either in series only or in parallel only will not work for these more complicated distributions because two-dimensional flow violates assumptions behind the formulas. In this problem, compute the effective conductivity directly from the definition. Darcy's law yields the specific discharges (or flow per unit cross-sectional area) of \r\n   and   \r\nThen conservation of mass leads to \r\n\r\nSolve this equation for the head , compute the flow through the aquifer, and get the effective conductivity from the definition.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 725.117px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 362.558px; transform-origin: 407px 362.558px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 318.25px 7.79167px; transform-origin: 318.25px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e asked for a function to compute the effective hydraulic conductivity of a heterogeneous aquifer—or the single \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 331.017px 7.79167px; transform-origin: 331.017px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003evalue of conductivity set such that the aquifer produces the same flow under the same total change in head\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.2667px 7.79167px; transform-origin: 25.2667px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. In that problem, the aquifer had soil units either in series only or in parallel only. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 359.933px 7.79167px; transform-origin: 359.933px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the effective conductivity for two-dimensional flow in an aquifer with a more complicated distribution of conductivity. Flow is left to right, or to the east, as in the figure below. No flow occurs across the north and south boundaries. Assume the head difference is small enough that Darcy’s law applies. Use the conductivity specified on the equally-spaced grid provided. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.79167px; transform-origin: 1.94167px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42.8167px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.4083px; text-align: left; transform-origin: 384px 21.4083px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110.858px 7.79167px; transform-origin: 110.858px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, if in the aquifer below \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K1\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35.1917px 7.79167px; transform-origin: 35.1917px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 0.1 m/d, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K2\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35.1917px 7.79167px; transform-origin: 35.1917px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 0.2 m/d, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K3\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.7px 7.79167px; transform-origin: 52.7px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 0.01 m/d, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K4\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 88.35px 7.79167px; transform-origin: 88.35px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 20 m/d, then the effective conductivity is 0.092 m/d. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.79167px; transform-origin: 1.94167px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.6083px 7.79167px; transform-origin: 13.6083px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHint\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 342.683px 7.79167px; transform-origin: 342.683px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: The simple formulas that work for soil units either in series only or in parallel only will not work for these more complicated distributions because two-dimensional flow violates assumptions behind the formulas. In this problem, compute the effective conductivity directly from the definition. Darcy's law yields the specific discharges (or flow per unit cross-sectional area) of \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.9167px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4583px; text-align: left; transform-origin: 384px 17.4583px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"vx = -Kdh/dx\" style=\"width: 72px; height: 35px;\" width=\"72\" height=\"35\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 7.79167px; transform-origin: 23.325px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e   and   \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJEAAABGCAYAAADM43a0AAAI80lEQVR4Xu2dOassRRTH3/sA7pqoGLgEYqC4I2ogiFsiqKiYXFDcEUR5ggaPhwu4JeIKCi9x10TcDQxcwBUFjVwQAxN3/AB6ftJnOFNTXVXTXT13uuc0HObOdFV11al/nzpb1d25wy/nQE8O7OxZ36s7B3Y4iBwEvTngIOrNQm/AQeQY6M0BB1FvFnoDDqLpYuAgGdq5Qkc0Q/xZPt8T+j0xZOocK3SG0IlCjwp9mGORgyjHofHef1y6/qfQ30L7CV0udJTQ9UJPRYZ1hfx2ttAN5h7lf8yxwEGU49B07iNl3hY6OQEkRkuZ84R+EDq6ZPgOohIuTafMkQ04kFCAKSZl/m2Ge5983lUydAdRCZemVeazBkBXyucLwdAulO9vNL+dJZ9ZfYiyDqJpAaRkNPdKoTuFXhRCD7KX3kNSHSOUUsJn9RxEJWyfVpldMpz7hT4XOiUYmkqpd+T380uH7SAq5dQ4yx0v3T5dCOtMTfyrGxAhbQ40w0Lx/q35bi046yr4Ru6/GbLCQTROcOR6faYU2CuEiY7EeVnoHCGsre+FsL5CELG0Pd80fIJ8fi1k29FnXhQCyUGUm47x3bdgCCdclytGFYIIvxI+Iv2ddu4RukXoEyOlFqw2B9H4QJLqcQpA1FN9iL9DxRoJheR6Quh1oUeEThNCubZW24JV5yCaDojQXb4TOiACEB2lBRFgubG5of4jvt4hdK3QJUIsaVxqtfG3LnUzzjmIhgcRE3SpEDpJeP0lP3wp9EzzxmvogTr2+kK+vGQmNdZrC5C2cIUuWdS3EuU6+f5k0yg61MNC1oeky2C4BP5fxUE0PIj0CfZt5zcmi3hWymvMpCEtQqdgrNe6HKXMcy1D/YMb4PI37dMXLiuh+G6ttvCeg2h1+Jk9SUMK/NDmEVZpAciuEdIlJdVdC9C2ACvm/ldNI6GP6A/5nWUwFg5J6kO055JodUiyk0FwU5VW2wMFEErvTUZS5HqJKf5BUygHTopZq83WjcXLsl5sB1Fueurdt8ppaBmxZDwrhP+mTZKkemKBsKD4SkUrqcLlzupSsbqqD2mf6SvXLCTiIKoHklxL1kdjgaIOPepvCRUFPSMP06UyBgTVeWLLVSr1w+pDKOIktQF2/EezfjqIclNf536oVOtEqxRAOqBAZxPAEt3RpTCUZNaJGKZ/WJDEljK7BGPx3S6EjjaX1BaCSNMjj5OCxFswS2ODQzSfFCKyDr8n2Yp1Aqo+pMtXcd5OhjM26QxfDxf+HnUgPhQBaS71wy51tBddakMQ8cYcKnSBEOkCXLG8E6vNF6cMFMIDhm8Vlk0Vg5Ellk2FR2WbsP4ZLCMmFmsoxttsY5kC8E/zqj+Wv3+JgEebYCkln5rrgUi7ABMfFwLllbZ2UsuZAiX2pmAuvi9EmZiV0YcRIfq7thXTDbq21bee9c/YtoYAUd++Ll0/BSJVxmJ5JzwIhQyPa5jYtHQnggoqDfu201VB7fvcsL71z3APh50mw0c9wLU7MHR7KRCpRIhlualCtk5vex9eMdEkavW5CE3EcpLDkAKJYFYysezGlpI+fVlp3RSIrDJoXeR0EICxL6m2FFrp4M3DrJ+lax9i6aa0ZUMKqhpY3qaS5rv2ZaX1UiCyjLUeTtWH2nYLrHQAlR6mVmmf5toUWBvqsHxU/wzPrGWh9el/57pdQITTbLfQQppk517MV5ySdWZfxFAtCKXfaFWDnLNR3yJ9g3RXZdF+pI6gmpJ1ZkMdsei6XeqWSo4PeHtIR153rfarrVgKIsQt23FXoQdNyTqzoY6YAh16shfylwtmmTyjywrK1SzC0n2YNlgKIrysmPo5RRoRjbf7WyE1sTUpq9VZVXN0a9SWDSnQrZLoeps7JTUsov04BFd5AaKrlgVRKoFK28KUxbMZ7mlSE3fUymOHGbIWGNVDC1ebDHWj0Zn8OUmER/pdoWVyW1SEW0URXeonoVH7QwqBhOQ9VYgxE9rQCyfjc0JWQhNiullIswopiwJO2bdM2cJHb0+xHIhgyLKRZZU89o2CoUR+1yWWNSS3czpdCKJUX9bF657kVw5EXZityqJaG5pwVbwtt8tDvc72cWAIEDEa3Pps0SXCf3cgxrdvtJv1ZHSyi4X2b4ZdsmOkE4eGApGmPhCl3hJyKdRpejpXQvqz555UEK7DhW4T0tyiqn6+oUCklgmuAbsJrjNXvGJvDtiktaopKEOBSM3WTTPre8/0wA1oJmPxUXol/RkKRARpXxUqOvOvpKNephoHNJRVfBJa7slDgYgI9Tqlp+b4sEn3NXugy9akKJ9qgYj1FuUNPxBBx4+Ehoryb9KEDzFWBVF0S3SXB9YCkVpj+IY4ksQB1GU26tZBpWAzpB4kgYnPwRHMFb/bJDqNeRK2IsiOzhRacJr9SUr0XASjFog0qWsUHta6c7V2rTEXjwkRSgEMDwoRECe8QiIh/rvw+BlAtK/QnqYMgwrzm2ya71x8rxaI1o6TG9oha8bHMgJ0Bw/siS1nNjUldl/zo+b0KQfRtNCmwe82E96m5LYp1nbLtT0YVDmFdTcnpRxE0wGRTT1pM98tiNoS4GIHgCqXoq4bB9F0QKTbkFKJbXY5a8tvssl0YW4TSnl2L/50WLpZI7EbJNtCGrZMLp9bl0ULSPQlcssWdjy7JJoG2Kzl1LZrxG4ayDkaYwdbRaUQ7HMQTQNEdrdyTBm2J8uWbN0OTwuBS3tjUshBNA0AMQqVRG0AsduwSiL44eFWpJG07jV0STQNIKm+EwOR7ljGwbhMVoU9dvhTqduaE+YgmgaIGIWa71bS4Il+TWhZANFe6oS1Oa45iKYDIs1lZ6cJkoPvhDmwxObOWCwcsi6B2S1MDqJCjo6oGMvXPkL/CPXZXaNHKmZTmx1EI0LHCrsKEJ8Wajvx35ezFU7GGB+lQdxbpfNFWRkuicY4zXX7jNThYulTACGF5o4ZTj3SQVR3QsbWWhgKAURLAYgBO4jGNu11+0s8jPgYLgDSR/gvi0tnpTqI6k7KGFvrnZXqIBrjtK9Znx1EazYhY+yOg2iMs7Zmff4Pfu7uVrpjiMAAAAAASUVORK5CYII=\" alt=\"v_y = -Kdh/dy\" style=\"width: 72.5px; height: 35px;\" width=\"72.5\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112.408px 7.79167px; transform-origin: 112.408px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen conservation of mass leads to \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.9167px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4583px; text-align: left; transform-origin: 384px 17.4583px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVsAAABGCAYAAABi8DccAAAWjElEQVR4Xu2dW+h3TVXH9TYwU/MmRMQMDBXD9FXKhAJTE6RQS9GLBxRLjcA001Ii8oCml5qGwnvhqYMUUmZ54YUHPJQUJAapvIh1ox0VvLT1kf19W888M3uO+/jfG4bf8/z37Dl8Z8131qxZM3Pf+1zPhcCFwIXAhcDiCNx38RyuDC4ELgQuBC4E7nOR7SUEFwIXAhcCKyBwke0KIF9ZXAhcCFwIXGR7ycCFwIXAhcAKCJyRbJ9suD3EwodWwG8vWfyqFeSzFv5pLwW64eV4uNX/ORbeeoNweJDV9UUW3mvhP25QvYurOoJsAfmpFh465fp1+/34RoA/z/L9oIXn74xsf8HK8+gJn/+Z8PlappUYNB5l4bETib57Jj71fqeFn72hhLsnGaS9PjHJ38uKe+LyEVswYtB45CS7P2e/L8j0a2TwCRaevlH/Xx7FjhxGkC0A/5cFSOT+Fn7Fwo9a+DULcwTRUezop3slWrROOuA9U6mfa7+Pt/BHFl4fEUpI9hkWXmrhAdM3JYMH+bzZwk0k3L3I4F6JFjGqxejV9g0E+7RJBr9qv48o6LTMKOn/F+EGYI0g2xB/RtCPTYSyFuFKyCGw3y0QiK2jIPiQ6Z9YYJCIPQj7W6YXCG9OE1aHIj3IvCT+1jgslf8WMqg8qRPa3d6fUoy+N1WEvlWiqR8Nh9XaaQmypfBMPxgJ0XiX7vg07r9O+R1ByNW4X7F/QKLPtPDRSIszYKFV/H1F570E/f+BXFMGyZX2umsFeR9JDjmMmGV9csowJaex8hxN+RmJaTKtpciWDL8wCV7JFLinskxbMF38hIUjLRC90cr7OxZiGgOk+a0JlN+235qFFgT9Hy28ycIRtPyets99u5YMYsJ5l4W1ZnK5ete8n8NIMorS9GMWaha+hEkNSdeU+3BxlyRbNdTcVLkXMBae/tpCLSH15jvie5UdQX5gkKDe8eefsfCpygyFfcu3lVntOvoaMoh2yOzj8xawUx7tmcNIRPy3jXXje2ZvtUR9NAyLyrsk2crmWDMNLir0FAnt73MTUR2xMTVFi5laejQK4DmqaaWm/UviLi2DlEEzq6MObCmMemZXahvJ+DXLMkRGkS1T1ydZwBtBrl/43LHAE9PcSjpKLo6E5AhaLdoP9jzc4+T69SP2b9nDQhOINIpwViAXMtLIeXoIn6XNOLl2Wuv9FjIoMmnV/NbCRvnUYORnV14+kWVcPenr1DtnutPaQ+ki79qYrJZfL9kibHdbAEg02D+zgLsILiIsALHAswTZSnMDqD1rtQgmngfgwIIh5Ik7F54I2Gr55QmFmbg8sgH6dCQcOW1BGP3n1B767my/W8kgOIpI9q7VtmAkjxnff+VeKJfEkgVwDUil3gxnk89769NDtvJrJbHQCC7NjHdLkK3y3nMDakUWwQyJUWYCNYQnW48rf+f5sIU/tsBCmbAtMc+ow5xVu91SBrWSX+p/uhWJtGIkbxnNrrRhgcVoNjqwVhLr+7F6Kq0brd22ku1cAwK29xFdYoFMjbdXD4Q5ogUf71ITDkYiSDrxz1v4Owu3LLBI5u1oJQONPBOOMs2tIaStZVDttGcPhFaMNJDQHgzUj7EAUcon3CsLJQQqz4QjmPxqZLAqbgvZanqKxpYiUk+2JaRQU2gRyJ41Ck0vKeMTLYQuM55sw3poIAE3/IbfbkHnPHg7WmknP6NWsbUMIq+YZ+gDJWRTI9+j4vZg5EkaOfstC373mGZXpbPWo8wCRmEfTaeFbEt2NmnU18g48lAYjao5m2WswgjRUyzQ+OHzD/aHT1tgg4EOEsH+7J//tv+w731uccoTaWr67oXZD0YaSMgTMwFC7XfteI2iVKvXN6XkvKjADUp8axnUoFdiygmrnJIt4iFfX7Sgw1xS8oqs/qmFucWpHozkYaG1g2e7vPzsqmbWKoIuldtBorJYMmHb/IXl9OcWkr7ILWQrTWluaqo41PSH5wrQAIXS7lmU8IMBRUgRUWgOYRNCbhusX1hILd75/L29W9MtyhTT3CWwNVp9DzE0NM8qn2wtg2q/nmmxn6prcMUeGpMvbZlFk2TwLVFeejCS1k65QoXBz65q1gJ6lKRVhKowExQi1lDwjdc5JLSlFr9fl2qfWrL1ApIiqFA7G7mF1udfW3aPpSfR1KDh7a41nSpcWIi1oRdmPxhJo+CbcNGx1l6rfP13owe+QvkcGm1rGaQyIwZ80hGJ8u+U8iBiR4t+sYWcqxVp9WCU67+19lo1/hkGfW1gwXwUauh6R31faOGOLfi1hOWnyDnhiBFGb6+T5te74OO9JWKDhog2CdxMRdSBUgTtTQihKUTfxqanPbvKVN+ltk5qagwsNVuLW+Rhaxn0ZFTbf3x9fXumbPv+wKKX28el22V7MPKKSExeWneVnWHQ11pMin80ENF/7zj1rFZYfCPGbC9+RO0lxFhHlPC12Gtjmh5/C+uhs2HpAKlp3RxJiDBTmr+0onC/ucc29q3fVabtveCdM2tQ1hHT3rk6+91w4dbjFkItySvWdqFWt4QMarBssdf6enkNMbR9Qkzvt4B/doutvaefilBii1+eML0PeIkMUvdRM4LRMlWSXq5/ksbsek0t2ZKgyCRGtpoGlzg7l1QwjDPiYJGURoEg/aaF1OEwpeWVsMY6ibfJhlpDbkFDddeCGgTKlDK3k4xyK+0lyMcLWenqdCmWqXhbyuDcAUI19UrNrrQBgbRuWag9F0NlaMVo7khF33fwwrifhfdYKD27Vn2jxixXg+mScf06y9win/C7o6+1kG3Kv9AvDC11rKIqMmpxTBoFU0OEBgF6bSGBpRpWmk+oreR8Huc2K3iNgkUJnl+0kDoLNyybRtyahbUawV1Ts6VcW8rgCMIIF8fUef2gyEJYqcYYa6sWjDyZxkwIGmhk9kD7fkPFgKD6jXYHrZHV1rh+nWWON71b3G0L5C1k6w8dZoTieclEVID4tk4hSYHhbWU9Cz3eU0LEhWAiQK+oEJy5RpOgg8c9FnTifWqRI3foh5+ekG+Nyw3x/fctbZ4T0LXJdisZBAd1uh77tx94PXFhNugxkfl2asEodwCSBhryYRbzrMr+svQMKyenre99/8zN3jxGt2nAPR0PgdG9Y5+xf//7QiQrgEYQRqhRoOoj4Pz2ahJhQ1Len5r++M/2+28WUivJfoEJX72YRiO8wbplajk3rWwVwrBtcoLYm0/4/doySP6jZ1cMwMyoWOGucaUqxbIGI8XlMKmYe5nklIOQZn1KE4UbNShTzlulAMzEQ1ks8e7w3JOTcU+2t5kSe8h2QF2rkpA2kKvsXKJeo/DxlppeV1Vw4cgjSCJVxFGdaGEIupP3g3WPc76fXflCLUG23ZUemMAIhYni+PWNnuKVtqEvd25h1Nt2D0u2I6Yg3o+VqThnD+gEo5ZV356GXvvbi2z7ER9BFt4cRon86W89ikR/7ZZPYQR+lJJBjyNKe5/SGaIvd86E5weCG0223siNze0HLXD1OU/oitXbkHv7Xob71pVgpkepB5sWi6JgyI0FqYdtpke+qmcEWXiPFGlJXtNtbZ+9yVusPN722bPIvXZdfbvnZsFeobuxZBtqFFpk84I+anFibWEoya93Fd3vdirJLxYnpxW0prvWdyPI1ndGyZs3by3lNrkWRrl8lpxh5fJufe/NR7nZh7fZ3raIeiSbba8Zwav33u4SGr+XcltrbehR3/WSLTilnkfZi3dNL9FYUs/Si6ijsEqlM4Js/aDlO6PvpGce9I9ItsiDP59ibuPOIt4ISwt2mH4v2XoQwqmaf3d07SvVLr1kO9feN2WBrJdsw4Hd+2GG7n2lizdr98Pe/EaQ7dreCNTZ76ybU8g0U75DAw412wf3Iln5/Xct/ncKv+khW28rIrvQXhSaGFrtSWvjR12+WYjfUch2zxj2kq3fohvbzedNDD27/dbGsFQGvYbY2sdIY21vBPL0tvZU2WcPiwrJdoRdrrDvfz8aZPsDhR/0kK3fGZNaCPMuGzn3jliRQx/ewmp1Rys1BR2BbEPtrhucwgR+2eJxf17u6SVbv0U3thAWylDLxgkuEZ0z+eTq2PKehU+0vZJnhGa7tjcC9fKHsafMPN72fsfMJOyoHIy95gPZQoQlTw/Z5jQK8h8h6GvjR7k5U7Pk0fRmidXukWaELTCEbEu0sx6yzc2u1Ia9g/4fbES2ryoQQt/HejTbgqwWiSLtNnVKmxSa6HbkUq1okZJXJtpDtqUeB+F2xD3f3FsJ35CdT6k8R5Jtbb3WjN9DtuGGmtSW81C7X2JwXBMzn1cPfluVOcw3dfKg2jc5Kz4S2coUkPNzCxv31+0PHJWoBzPCCy38iwVti0UIHmIBILXJgfgA93tB3L00em05RkzfbjrZeu209O4xtLm7IrKF9vMBC3Ks19Q4Jq/E/RsXt7bt9xL/DGQLlih+r7HAZaxcY/QwC5AtNnd/jdVtuB+JbFsaas525d2Qcjauo7sseZJYYpX7pmi2dJ7aQStnXwzJdo4YS3c87YVcw3JIYcr5qu61/GG5WFjnmMlvW8iesXAksh11Jc5RGnJkOVsGqpH5nyktmaSOaHPcuh16TIFbl707/xKyRSt6joVfcrlxk+THLfSct9lS+FqtoiWP0d/sAb8WE8xoHHrSY6B9kYWfnBLhFtq/nGSw9KqYnvz9t0t6dYwqYywdprmcgfxD08uSG3pHl2fUweujy7VKeiVki6r8JAtfmkrEbqE3W+CcgddZKLnpc1RlJOhHOh1pD/gdXaNgsOAci29MgvQM++VGjZpLEEfJ4BEPwGbAZ7DieE4e1ideaQG7M/bgtc6rOOpANUR2Ssg2lpG/EFHX+Q4pUCYRrQQefYV2bfzkLH903Lx4+NXf0mtZRsio8u3ZdDCiHL1p+MPF11JedBDUjTTBtJItDb3FlOAsgr42fme1M464k66WtM60drCmeelMuNXKzPfj95CtX4Feyx9VDXaG1cy18DuzkG9lHtHgtYRnR1NH7vhorXWQMylKTXD3kC0ZLnnVSqpCZxT0JTuthPyMB+xs5XKWukyxqRNu/JHsqEsfnn8mzJqabBTZrmXz8dPvpYWjCdDKjzRYLYnfmYXck+2aaweafp9hAJvdYlopz3PRz6QkNcFSSrYI109bkOsNrl9c+PatKdeQ+DC+P9F9Q/x3uxLSSdgpgxvKCyzUuO/ohK6Ww2KaQBrwUS1+2nX0FMubf4fXReuIOVzvkjtWpnJrUaLnRuIBEHQlgTw91YLwkOsX3gkcvMKj2QF4PdLCoy3cf5LZ2MV+rDkgz3dbaPGoORqu9BsuN+WmZx5cv95rgcGYv/uBg/6J1xH4Pc4CuzZDjwXSe4sF2uLlFub68BH77ATTuJ8c2QLSeyxwog+rrwjm/1r4/akIOunHky3CzqEU91jQFef+pK1wj3iLVqeFkdItk+MQq0upBT8RMzeYIsw8fuXbH1TCuzkMzqCBUYf3WWAbNW5Kf2UBNzBwgAQkg55suZ+Km42FX0wDFVm2XoekBeIW+a2Tor7YDFTvsMCWdfD6Qwu4caLsgB0HYYNtSLZgTD8P8VVp/JGDOS8XYXWG2Whza8yRrdyTaIjwSLHw/NeUwHli5bg4rvP+sIVnW2CbGx2C0bVGs6WySjfXyM3ADPhwBH6eWNFMtbmE2QCaHpqHnzGExZbL11FdbUL5+airoO/s/Dk26Hj8wve0D7LIwyysVga18LhnFzDv3hWbCfo7+WInVfnF1dj7UhIlH561FtIHdN/xSaTIFpBpHGkTsamqP/s2tcDjGwvC5jbbV1gYsccbGxCj8twVFeMRK0txFH6ebNAKXmwBDaVk556wrzm4p6x268TyZxDHBnO/BTnlneKVgphWhTcD02RwbnlE5ksucLaUS99oBpiSAX/KXUrr1ICdwhgemKu/ZDh67GBP5Y72bYpsJURzUyxPtnP2QH+84UhNVI24x2ncKPzCM3ZrNFSVYY/4lPQTyU1Kc/RkO2e/VzoxUwJEwrbfFpstdVD77JFI/ECdkhtPtqmDyucOxNbs4BEzDSr8927yK5HJrjgxsg210dhWPq8x5Baqwqlw7XRtroI0JE/LNLALuJmPR+MnYc3h7IukMtR8sxQeLenOmQ+UnjcjzF2QqKluqDiAEUfk9crOXrXbErnxZoSUwuRPjAuVJerOaVcpU5ba8cwXWBbLd4xsvRCnRqMa47jvOKNHN2k3IzXmYvASEUfjp85cYw44uq1W5Z+rs7+va07j9+YIr73liKJUDnRdyuftA7YN7+HxylBqZuPj5OzOMkf4wTs3WIHL5yxg5rvRtloJRIxsczYavvV3KeXsVT7uEquRdBoIfS9XkI/Ez9t+wT2HNXE0AB1Zm5DGlfJj9dpWbjdhTDPLEUUtYUqhaLkzrDavkvh+wE/JjL8qKtcvY7OD3GCl3X17waQEt0XjxMhWdpyUoHtbWc6pW76M2HTQanPxWyqrFVe+fUJLAoO/GYkfAxXhpVMZc51C2gQEtObhLIMhvHdnYqq+6sjkm8PEKwfS4Gij0Pe7tw57GvSFT2og8pcX5gYrcPGzA2YRPHdbSJlgpDXv0Zbd287N389ptili9Eb1nI8nfnqsnuN3C2H4hkW74ClZWc9VUG5Wax4XlyqTNNte/BiowBetKbbIQ51x6vc2cPLG42MvWn6u3VLvpdnGiNQTRalpRZoZ8X/DAnI5emDe06AvzTZFpH6wKllA9bMD4nM8I9dFeVc8taUf8Edj3CpPu/huzmYbI4uShQsqplXKW/Zv3LzCFU1I4v0WYjt7WoHR6FsiPK15lHwnQe/BD7wQaLl5ee8GbGDaveN339GBXmNhzW2rJXi0xNGAFSNbj0XpoBJeZf+sSS5byjb3jcw+lD+3s2903j49aZYxsp3z/54rk8yBpDlnn0YZg3CPPLNapG1iZCvNgQx9x/V2oJgdRo0ByaBdIWxyqfEr9EzlyIOdaXMO+S0V1m4jn3dLOj3ftOCnTkq+rJCDn8feD1Zo77y/5QiD95DQGYgWDGSqYkFGnRZcuaZbM6RSoiW9Eg+Rnjb332rXIP1hS8LVDNQrH+D6EQuxjUq5+pcMcsRBm72INoJmys/W765hCiubKx39bRZiU3/vRhLTSEocqHMNXvKesv+4hVbfyZI8cnFq8fMrw2gOoeYV2tjC9wyEn7WQvXQuV/AdvdcAwtQfU8ldU9laTUX4hZMWA9UI09UcVLoZ4a0b4kkZmD2CG5oo/9e2+/CsjZJiyvSQ8vxRnVt2hJbkf/g4ubMRGAl5Sm6XBWxIbi4u6ZWkdXhgpwrU4KdbWL88kUuIgfBNvT8LZr4eqjN/66m3bI41m0LOgicDefENsDOV1mL3XtzbDtc+ObI9XIWuAl8IRBBgenuPhS01zSM3jEwjpVvFj1zXxcp+ke1i0F4J7wQBTCzYslvPP9hJNTYrhrwsRp1psllFts74ItutW+DKfyQCoakl9OoYmddZ00KL5cH+L6JdYjH7rPgl63WR7Y1r8lNX2O/e49+sjF9T3/ImD7fwLuU1VF6iE8W8yPZEjXlV5d4bn4ECr4XXWxh58NHZIfbbw7UBJLZx4ew4LFK/i2wXgfVKdEME0M6+bWFp964Nq7ho1jLFjDhzetGCHi3xi2yP1mJXeS8ELgQOicBFtodstqvQFwIXAkdD4CLbo7XYVd4LgQuBQyLwf6xczaF0WKndAAAAAElFTkSuQmCC\" alt=\"d/dx(K dh/dx) + d/dy(K dh/dy) = 0\" style=\"width: 173.5px; height: 35px;\" width=\"173.5\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 100.358px 7.79167px; transform-origin: 100.358px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSolve this equation for the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 251.9px 7.79167px; transform-origin: 251.9px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, compute the flow through the aquifer, and get the effective conductivity from the definition.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 246.467px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 123.233px; text-align: left; transform-origin: 384px 123.233px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 513px;height: 241px\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqwAAAFBCAYAAACy8P3xAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFiUAABYlAUlSJPAAACblSURBVHhe7d0LkFTlnffxZ1YEr2HAtZI1kuxQvpTGV8PC66BbMaBySYy5cJNBZQMIg8DKBhNwhojxChMMJtGow6ASQyIXuWSzxOKmjDFGGR1e1Eo2RVlDFDSJhJnBW8klO8v/6eeZfvrQ3dM9093znD7fT9Wp85xDzyjDA/07//6f55S0HacAAAAAT/2D2QMAAABeIrACAADAawRWAAAAeI3ACgAAAK8RWAEAAOA1AisAAAC8RmAFAACA1wisAAAA8BqBFQAAAF4jsAIAAMBrBFYAAAB4jcAKAAAArxFYAQAA4DUCKwAAALxGYAUAAIDXCKwAAADwGoEVAAAAXiOwAgAAwGsEVgAAAHiNwAoAAACvEVgBAADgNQIrAAAAvEZgBQAAgNcIrAAAAPAagRUAAABeK2k7zoyBULhjSokZAQCycccK3vIRTlRYAQAA4DUCKwAAALxGYAUAAIDXCKwAAADwGoEVAAAAXiOwAgAAwGsEVgAAAHiNwAoAAACvEVgBAADgNQIrAAAAvEZgBQAAgNcIrAAAAPAagRUAAABeI7ACAADAawRWAAAAeI3ACgAAAK8RWBE6//lbMwAAAJFQ0nacGQM509raqkpLS81RbpWUlCimLXxTWVmp6urqzBEAIJcIrMiL/v37q6amJnOUWxJY9+x73xwBfhjQ70zmJbz3f849w4yAcKElADlXW1ur9u7dq2pqaswZAEB3WzB3ihkB4UOFFTknFVDRp08f1dzcrMe5RIUVPqLCCt/JHOUtH2FFhRU5JdVVq6WlhSorAADoMiqsyClbXbXyUWWlwgofUWGF76iwIsyosCJn3OqqRZUVAAB0FRVW5EywumrluspKhRU+osIK31FhRZgRWJETsirAmjVrzJFS1dXVavHixXp86NAhvUZlWVmZPu4qAit8RGCF7wisCDMCK/JCQmW+phaBFT4isMJ3BFaEGT2sAAAA8BqBFQAAAF4jsAIAAMBrBFYAAAB4jcAKAAAArxFYAQAA4DUCKwAAALxGYAUAAIDXCKwAAADwGoEVAAAAXiOwAgAAwGsEVgAAAHiNwAoAAACvEVgBAADgNQIrAAAAvEZgBQAAgNcIrAAAAPAagRUAAABeI7ACAADAawRWAAAAeI3ACgAAAK8RWAEAAOA1AisAAAC8RmAFAACA1wisAAAA8BqBFQAAAF4jsAIhtX3LJlXx9aF6W/r9O8zZ9Jre2KNmTx2jv+aG8V9WjS+/aH4F6Jzmg39TO198Xs8lmV+ZktfL18l2+PDH5iwAJFfSdpwZAzlTUlKi8jW15Hvv2fe+OYouCZ27du3S47PP/qR6YdcbepzK348dU8Mv/7x6e/9b5oxSK9c+rYZcdrk5QlcM6HdmJOelXPg0vPRbPe7Tp4/a+Vp8fqVy9+3z1MoVteZIqaqF96qplXPMEfJF5ihv+QgrKqxASPXoeZoZKdWzVy8zSm1O5bUJYXXSlJt0WJUgC3TWsSMfmdHxOdmjpxmltm7NyoSw+ulzP6Ou/2alOQKA5AisQBE4cviwGSX34P2L1LZt28yRUpcPHa4W3nWfHp/Uo4feA52RzYXTa7sb1YLvzDJHSp18ck+1ftNzqlevU8wZAEiOwAoUgXRB4Tf129SDP1xsjmIVrYcfW2WOgNxJd+H03nuH1MypE8xRzM/WbFJ9z/pHcwQAqRFYgZByP4pN5c/v7FfTJo0xR0qdetppVLSQN6kunOSmqspJX1MHDvzVnFFq0Q8eVoMvucwcAUB6BFYgpNyPYpNVtqQ3dXLF1eYo5vGf/5KKFvImVYV1yb0L228QFNI/PW7CJHMEAB0jsAJFIFllq3LyeLV3715zREUL+eFW+pPNw+BNVm7/NIDMjBw5Uq+Q079/f9Xa2mrOJqqtrdWvqa6uNmeKC4EVKALBytbjdQ+o55/bbo6oaCF/0lX6//iH1xNusqJ/GuicN96ILVsoRYhrr71Wj1Pp3bu3GRUXAmsRkYksV1eyyZVWKn379tWvqaxMvZRMTU1N+/eC/9zKltxkVXP3d80RFS0UjjsP5YEC36z4ijmifxroLKmoylZWVqbXOpYVX9xPz4IOHTpkRsWFwFpE7GQWS5Ys0fughoYG1dLSosfLly9P+dFCXV2d3sv3hP9sZUtCgnuTFRUtFJKdh9I/PeemSe3/1gj6p4HOKS0t1Zu8vy9atEifu+qqq1K+f1NhRSjIJBZy9ZVsMj/77LNmFLN7924zipOvtVdvEyYkLkMDfwR7ByUkjL1mqDlDRQuFZyusi+6qbn/6laB/GugaeT+X9+WKigo1YsQIPd68ebP51URUWBEKY8eONSOlVq9ebUZxwcD65JNPmlHcli1bzEip0aNHmxF8E+wdvPmmSQlPsqKihUKTefjL9asSbrKifxroOqmw2k8s7rnnHr1fsGCB3lvyGkGFFaHwpS99yYyUeuaZZ8wozj7taNCgQXq/fXv8xhxrw4YNei/tAOXl5XoMvx07dkQ1NrxgjmJOP/0MMwIKQ+bh/G/Fe+PlSVbzv3u3OQLQGVJdlc22/Mn7sq2yyv0mlv1UlQorQkGusGQii3Xr1um9VV9fb0ZKLV26VO/dj/8tG2qHDx+u9/CfPMN9+c82mqMYueFFFmwHCkXm4Yx//7Y5Uuro0SNq1o0TzREAK1nLXiq2h9XtCV+7dq0OsLKEVTbfK8y8DazyByDrjcld6oMHDzZnkYkxY+I33bgh1X7UL9XVYcOG6bFYs2aNGSW+/rrrrjMj+E56By8eOFjdPDe+/p7843bLTP4MkV/BXupvffs2deFFA80ZpZdXc1sEAMQ/5cxUMJRKgB03bpweT58+Xe8tWgK6QHoppWydbgsuwyRvtrby5z4hBR0bNWqUGSX2qDY2Nuq9ndy2Euv2tbqvd0Mt/Gbvzr75lgWq/NIv6LGQarmsyQrkS7CX+qQePdRjKzfqm/6su2+fpxpfftEcAdEmmSf4cX5HbH+qS1bzkdY9+TRVVgCyr6EloJPk6QwTJ07UZet028yZM5PeJITsyQQO9qjK1Vmwf9VWYu15YV8fvGKDf1I9Yeixnye2BsiarIQFFIKdh3Kz36L7HtJja86MSbpFRVazAKLMLjuZavnJIHn/ls32sLrmz5+v97fddlt7FZYKaycdPHjQjDr2qU99yozQVePHj9d726Nql7+QCW9vpJLlMSy5WJDJbqvaV155pd7DX6meMCTLWD26MnbjnDXrxgnqz+/sN0dAfrjz8CtfG9f+kaU4cOCvup9VKrBAVElV1faiyj6TKmuyHlbrpptu0kUqKTzZwEqFtZPcH/Ajjzyi2traUm58BJ077vqp0qP66quv6rH7BiJ/AeyDAaQtwK1wu2EW/nMrrOKLw0bo5YQs+Xs47z+yq5pLJWzp9+9QA/qdqTeqY+hIcB4u+uEK/fAKi35WRF2wqppNlTUV+94tn1YLKqyd5Jawk/VgID8kiNqfvYRRe2NVsNHbBlvpgbHLYNneVoSHW9my5HGs7p+3LOQuATQTO198Xl0/9iq17Cex1STEhx98YEZAcsnm4ZPr4+s6i0z7WWUO3jD+y+0XTLJdcdmFat2aleYVQLi41VUrmyprKnaZK4sKaye5fzjprhCQezNmzNB7+ajAftQfrJzaG7Tkz8kugzV16lS9R3gEK1vWoqXLzShGAqiEhVSVUltVnXTt1fpmxwHnX2h+RanTz2BdV5woVS+19U/nnKufdOVK188q5yu+PlTPQfdpWUIejLHgO7PU7KnxlVCAsEhVTe2oyirZSbZkPazWsmXL2n/985//vN4Xm9BXWGUZJrv8VXCT8zaouaS/077GltCD5Pva16RbVqtv377tr/MtkLurBQipugb/DJK1YbgPH0A4JKtsif7nDTghLEg/67vv/sUcJZJHakqolbmyeUej+sGP44FXKqz0HyLI7aVORZ50JT2tVrp+1uaDf9P/bkv70nM7/1vt2fe+3l7avbf9EwO5CJcnagFhIXNaikiLFy9WVVVV+pwdy41Tcpd/KvK+3dzcrLdUOUr+zZZfl/bKYm3pC3WFtbKyUl1xxRVJQ6mQ8xJag0tm2eftC7kqSWbRokVmlHpZLQm19vcnwTwfgbwrJIy6Fwzy80rGXRFAPlbw7feBjqWqsAoJC27vsszZVP2sF1x4sVryozq15Tev6bD74YfxNgCpsNLDis6quf+RhH+PUvWzSkV252tv6f5XGVuy8sAPH/mFfnqW2Pbrp/QeCAMJlDagyl7Ysex5qmTHQlthlcro8uXx6o+8Ia9atUq/GcsEcP+7smSWe/XiXn3I65MF3ldeecWMYpItueWuWeoGAp/YKy7Z7FVdkKzlZl+zdetWcxZhkqrCasmbv/yDaaXqZ5Vw+42xyZ9MRIUVHUk3D2X1iidW/9ocxWS7PqsE2KFXjtTjN/e9w5PcgAgJZYVVvo/bpCxB9amnntJBVEKxBDMJau4NJ7JGmSWvcd+87ROgLAm37v+3WL9+vRnFuY8+nTZtmhkBhZeuwmrd98AKM4rpqJ/VJVUtKqzoSEfz8PzPXaRvBnRlsz6rvKbkf+KhuMdJXEABUVHQCqtUOm2/Z3CTXtBM2YVyhQTPVP0a9nn5wl2jTLjLPrmVWuE++ckKPpdfqrJuqKWcj+7UUYVVyKNbg2FhwbdnpK2a2o9f5ZnwVFjRkUzmoSy3NnzUNeYo1s86d/aUjOaWvGb37tf0+LP9zmE+AhFS0AprrtinMQm31zQoeEPRnj17zCixnzPYo+oGVrcS67YOuFVZX9sBUNzkMazScyyPYp176/fM2fQkLFQtvFd/jWwTbkj/yYAEVYsKK5L5zLnxB7706/dpM0rvnu8/mLACRWPDC2aUnnwiIAFXXP2N6/QeQDSUtEnjYh7JHfY2EEqwkxuepNIpH8u7e6l4BsOh3DBluf+bUo21QXjHjh1pHzjgrhQgDy6Qp0JY7veRtgJbqZWKr5CWAnm0rG0/cJul3d9XR/8PUSQ/w3xNLfnectcw8k8CwsQxsZ5BuUtbbnxBcrJOKPMyf+Ri6V8H9df/ZkvYXb+pXvfFInMyR/P8lo8M5fM9sljlvcLqGjt2rA6MEvyCezesdsSt2n72s581o+TcloQ333zTjGLcyqitqsqd/5aEVbcS696Q5FZlCasodvSworvJkmv2335Zbo2wCkRLKG+6ch04cMCMknP/+8HFdN0bpWyPqvtR/+jRo3WQtqFXQqr8HtxQG3xyFFBM6GFFd5OLJHnqlV0C6+a51frmLQDRUtCbrnK1rJVbjf3oo/hTVpJxQ7LbYiDcG6Uk2ErrgH2EqbC/7q7bunnz5oTlrObNm2dGQPGhhxXdbff/f1k/9UpIWJXebQDRU9CWgFxVWM877zwzSn/TVXB5qgEDBphRnNsWIGHV9ru6z+WVVgZLlrdyVwzgqVCICiqsKLQ/v7Nf/duE2IoC8m81YRWIroK2BOSqwuo+616Wq0r1SDNZRsuSpzkl+++7YdR9nu+YMfFnVbvLZklYtb8naQfI1e8J8B0VVhSShNWhQy7QVX5ZBksefgEgugraEpCrCqsESLctYMiQIfpOfvv9JcDKx//ujVFuGHW5YdQN18He1GS9quPHjzcjoDjZHlZBhRWFIhdG466J3cwqKwI8WLtSjwFEVygrrEIeleqGYXlUqxzLUhESYO1H+3Ju586daf/bwTAqXxN8EECycOo+fAAoBuvWrNRL39ht3FfjK2BcOrCs/fzsqfFPIIBckrBaOXm8Xm/1wosGqk3bXuJCCUBhK6zZ6OjrJFDK41fdXtMg+bWmpqYOn0IVvHHKvcnKctdvFfL/l81SXEAx+fgI6wciPzauX6Wefy72cJjfv7474QIquN14w2j9OgDFL+8PDigUaQeQqqsIhksUHg8OQNRIgGJedp37sIqOSFHiocc3mCN0ROYoi9X7gQcHZK9oAiv8QmBF1BBY4TsCqz8IrNkr6LJWAAAAQLYIrAAAAPAagRUAAABeI7ACAADAawRWAAAAeI3ACgAAAK8RWAEAAOA1AisAAAC8RmAFAACA1wisAAAA8BqBFQAAAF4jsAIAAMBrBFYAAAB4jcAKAAAArxFYAQAA4LWStuPMGOi0hoYGtXHjRnOkVE1NjaqqqjJHSo0ePVqVl5ebo64pKSlRe/a9b44APwzodybzEl6TOcpbvh/kfYw/i+wQWJETe/fuVf379zdHJ2ppaVGlpaXmqGsIrPARgRW+I7D6g8CaPVoCMiQVw9WrV5sjBJWVlSVUVF3Tp0/PWVgFAADRQ2DNUGNjo5o4caKuIhJck7v11lvNKFFdXZ0ZAQAAZI/AmqE+ffrovXz0TXBNTqqowSqrVFcBACg0eb9G9nz9uRFYMyQ9mC6Ca3LBKuuSJUvMCACA/KutrVV9+/bl071Omj9/vpfZhsCaIVthDSK4JpIqq62qSrWV3lUAQCHIe7AE1ZkzZ55QZELmJO/4mG3yElirq6v1HXDFtC1fvtz87pIjuMbZqmqqnlYAAHLFVlTlPdgNqr179zYjZMP9GfqUbfKyrJUEVrmrPsrkrvlFixapiooKcyZaZJLLzyAf5AKC5YPgG5a1gu+KbVmr1tZWHaSophbOoEGD1Lp16/L2/p6WBNZcq6qqkr8RbMe343+4bcf/MpmfTHTk6/csP89kP2c2NjY2to63Yns/ampqaps+fXrS36tkEV/J/5+v0v08u3P+5KXCKtVVqbJGnfRwVlZWds+VSDeTq95du3blpYeVCit8RIUVvivmBwfIp3qLFy9OaN+TY3kf9pG8j/n6ZzF+/HhdRbXkZygtft19T0peelgPHTpkRtEkf7jyEYX8ZYliWJULFvnHQ/qKAADIN3mvlVUBmpqa1Lhx4/S5qGeRzrI3mbtZxocbqHk0a4akUtrRjVe+XIV0N2l+l0kuk765udmczR0qrPARFVb4rpgrrEFSNDlw4IAqLy83Z/zic4W1vr5eDRw40Lssw7JWGZIAlopvVyHdSaqr9mcl+6jffAcAKDypuPoaVn03bNgwL7MMgTVDydZhlfVGCaqJgg8K4MEBAACgqwisGXIrrLaiKv0yBNU4t7pqUWUFAABdRQ9rhqSH9ayzzqJHNQ3buxqU615WeljhI3pY4bso9bD6zuceVl8RWJETDQ0NauPGjfrJInJnplRVpRJtj3O5vBeBFT4isMJ3BFZ/EFizR2BFXuTzLyOBFT4isMJ3BFZ/EFizRw8rAAAAvEZgBQAAgNcIrAAAAPAagRUAAABeI7ACAADAawRWAAAAeI3ACgAAAK8RWAEAAOA1AisAAAC8RmAFAACA1wisAAAA8BqBFQAAAF4jsAIAAMBrBFYAAAB4jcAKAAAArxFYAQAA4DUCKwAAALxGYAUAAIDXCKwAAADwGoEVAAAAXiOwAgAAwGsEVgAAAHiNwAoAAACvEVgBAADgNQIrEDFNb+xRhw9/rP5+7Jg5A3Teb+q3qYqvD1U3jP+yerzuAXM2PZmDC+ZO0V83a9pE9cc/vG5+BQCSK2k7zoyBnCkpKVH5mlryvffse98cRY8EzXff/YsaOuQCc0aphx9dpYaPusYcpTbqixervXv36nGfPn3Uztfe0mN03YB+Z0ZyXkpQbXjpt3qcyZyS+Xv1lYPa56HIdP6ia2SO8pbvh3y+RxYrKqxAyJzUo4d65+195iimtbXFjFKbPXVMQkgYefU3zAjIjdNOP9OMUptTeW3CPJxw/RTCKoAOEViBkOnMR/nyUe22bdvMkVIXXjRQ3XHP/eYIyI0jhw+bUXLBeTho0CDmIYCMEFiBkJEK67EsQuv2LZtUzd3fNUdKnX32J9XqjfHQAHTFsSMfmZFSPXv1MqMTJZuHT6zdouczAHSEwAqEjFRYe2TwJi+vaz74N/UfM79pzsQ89vONqsdJPQgKyIkePU8zo+QV1lTzcN2metWr1ynmCADSI7ACIZNNhXXsNUPV0aNHzJFSj67coM7/3EWEVeRFsgrrsb8fO2EertqwVf3TOeeaIwDoGIEVCJlMK6xyc8vb++N3bFctvFd9cdgIcwTkXrIK6y0zr0uYhwvvuk8NvuQycwREQ0NDg6qurlY1NTV6L+xYNvl1pEdgBUImkwrrsofuT7i5Re7Cnlo5xxwB+RGssAZvspo+fbqaNOUmcwREx4ABA9oDquyFHcsmv470CKxFpLW1VfXt21ev71ZbW2vOnmjw4MH6NZWVlebMieQvkLxGvh/80lGFVRZyX1rzPXMUWxHgwdqV5gjIH7fCKvPQvcmq/NIvqHm3syIAoqm0tFRfsCUj5+XXkR6BtUht2LDBjBLJxw67du3S43Xr1ul9MnV1dXrPXyL/pKuw/vmd/WrapDHmiBUBUFi2whqch2VlZfpmPyDKlixZYkaJUp1HIgJrEZFwedVVV+mxfAwnFdegZ5991oyUamlpUfX19eYoThb1tgt7T5gwQe/hj1QVVjk/ueJqcxSzcu3TrAiAgrEVVncennxyT/XT1U+zIgAiT96jq6qqzFGMHFMYygyBtciMHTvWjJRavXq1GcW5gVVs2bLFjOLcc6NHjzYj+CJVhTX4BCF53GX/8wYQVlEwUmGdNW1i+zyUsLp+Uz0rAgDGrbfeakYxwWOkRmAtMhUVFWak1DPPPGNGca+88oreyxNmxLJly/TeZb9OngteXl6ux/BHsgrrTx99KOHmFh53ie7w0Yfvq8aGF8yR0ktZffjhB+YIgFtlpXc1OwTWImTDaDCwysf/0gYg5s2bp/dy7LYOyNj2to4bN07v4ZdkFdZ/GZx4YbH16V/qPkKgkHr06KmW/yyxV3XOjEnq8OGPzREAueFZCkL0rmaHwFqE7J2IwR5V+1H/iBEjEiqx7ooCe/bsMSOlrrvuOjOCT5JVWGVdyzsX/cgcxf7s5aNZggIK7eKBgxPuhj5w4K9q1o0TzREAuQlx8+bNVFezRGAtQqNGjTKjxH7UrVu36v2VV16p9xJcRWNjo96LjRtj1RG5+hs2bJgewy/JKqxyPHHSje3VdfH713erJfcuNEdA/tlVAmT5KllOzXr+ue16TVYAMbTbZY/AWoTk6k02sWbNGr0XdjkrG1jt3l3eyr7erjYA/6Rbh/WJtVv0xYa1ckWt2r5lkzkC8stdh/WxlRv1TVeWrMna+PKL5ggAskNgLVL2oQB2iSq7YoB7I9VNN8WfOCOtA/a1wl1tAH5JtUqAkKWDHlj2C3MUI60BzQf/poMukE/uk676nvWP6sePPGGOYuhnBdBZBNYiZaunQqqmr776qh67lVPpn7HVuCeffDKhfcDtcYVf0lVYxZDLLlc3z409q9q6cdJodezvBFbkl1thFbJShaxYYXWln3Xp9+9QA/qdqbdRX7yY4AtEDIG1SEkV1bYFyNqrtn81WDmdMWOG3m/fvr19VQHb2wo/pauwWrPmzE/oIcykn1WC8M4Xn1c3jP9yezCQ7YrLLlS/XL/KvApIza2wWnfXPKA+fe5nzFHn+ln373tTLfvJUnOk1Mm9TjMjAFFBYC1iw4cP13tZn9P2rw4ZMkTvLXuDlrQC2F7WMWPij1SEfzqqsFrSQ3jqafE39nT9rPI9rx97lZp07dWq4aXfmrMxb+9/S83/VqWaPZV5gfSCFVbryfWJDyjJtp918ffm6r1brQUQLQTWIhZclsq9GctKthIA7QB+y6TCKq+RHsKlDzxmzsSk6md9992/6IsWCQTP7fxvtWff+3p7affe9pUH5MKHSivSSVZhFfKkq0U/eNgcxcy6cYJ6771DJ8zFIKn6y9wbcP6F6pqvjzdnlX7kMIDoILAWMQmj7h3jEyZMMKNE7gMCJJywNpzfMq2wimAPoUjWzyqBYudrb+mPb+1jNOW/I6H34cfXt1dqt/36Kb0HkklVYRXjJkxKmIuyVvA3K67RF1epSJ/qLbNjX/ODHy9PmPf0ZAPRQmAtcs3NzaqtrU1vixcvNmcTPfXUU+2vcddkhZ8yqbC67rjn/oTKeqbrs9og0bt3qfp/l/yrHrf9Q/IKGiBSVVit2+5cos4++5PmKDYX5WaqVDas/YW+UUsuvM7/3EXmLIAoIrACIZNNhVVI8Pzp6qfNUUw267PK15/Ss0SPLyA0II10FVYhy6499vPER7fKzVTysX+QPFr4R/fdqcc198efxgcgmgisQMhkW2GVgJu0h3DaRN1DmIzbVyg3x0gPoeh/3gC9B5LpqMIqpFJatfBecxRz+62zzSju4QeW6LaBb1fdqT7xid7mbJz0sLrzFEBxI7ACIZRthVVID6F8tOp64tGHzCiR/RoJq/82IfY1stzZV74W73cGxM23LNDzSvrfZ3+rypxNb2rlHLXwrvtU+aVf0Ns130i80VPm3ZpfrNA3Wk2eNsucjTt6+CPdw2rnKYDiV9ImjYtAjpWUlOie2HyQ7y13sEfda7sb1dGjR/R48CWX6X0m/viH19WHH36gxwP/5ZKEN/377rpF/e6ll/VY+gstCReTpsSfjIYTyZq1zMuuk6pp5eTxer3WHz60IuEiSYLsxDEj9RrDqzdu0y0GyJzMUd7yEVZUWIGQunjgYB04ZcuGfCQrATcYVsWf/vQnHVTdsCruvn2eWrdmpTkC8mfj+lU6rKar6B89etSMAEQFgRUIMQmcnf1YNNnXPfT4hvY1WGWTNVntUkQLvjNLLZjLwu3IH1nG6r57v6vHN38ndsNVKqzDCkQLLQHIC1oCiossPWQfjfmrLb9jiaEkaAnoOmlzGffVEx9mko7cTCj92egYLQEIMyqsQMR05s7q6yZNUyef3FOPt23+L70Hcs32ZGfj1FNPNSMAxYzACkRMZ1sIzjjjdL0/0olQAWRCeqvdlpTgtmrDVv06eRDG628c0OdYuQKIBgIrEDGdqbC+8PwOvSamOP+C/6v3QHc57Yze9LACEUNgBSImWYVVVgC44rIL1a9/tU4/Ycj1eN0D+oYrIetiBtdyBQrFtqV89MEhvQ4rgOggsAIRk6rC+vb+t9Tc2VPU0CEX6Jsz7FZzd+yubfkYdv2meta+RLexPa62wsqTroDoYJUA5AWrBISPVFYfrf2xfq77nj/+3pxV+glG02bNU5cPG67DqoSEzvbBFjNWCYDvWCUAYUZgRV4QWP2VLHASQruOwArfEVgRZrQEABGTLJgSVgEAPiOwAhFD3x8AIGwIrEDEUE0FAIQNgRWIGCqsAICwIbACEZOuwkqYBQD4iMAKREy6UEq7AADARwRWIGKosAIAwobACkQMFVYAQNgQWIGIocIKAAgbAisQMVRYAQBhQ2AFIoYKKwAgbAisQMRQYQUAhA2BFYgYKqwAgLAhsAIRQ4UVABA2BFYgYqiwAgDChsAKRAwVVgBA2BBYgYihwgoACJuStuPMGOi0+vp6tWXLFnOkVE1NjaqqqjJHSo0ePVqVl5ebo64pKSlRe/a9b46QLQmlVFJzb0C/M5mX8JrMUd7yEVYEVuREa2ur6tOnjzk6UVNTkyorKzNHXUNgzR/CbOcRWOE7AivCjJYA5ERpaamaPn26OUokldZchVV0HT2sAICwocKKnJLqZ1BLS4sOtLlChTV/qLB2HhVW+I4KK8KMCityKlhllepqLsMquo4KKwAgbKiwIqeCvay5rq4KKqz5Q4W186iwwndUWBFmVFiRUxJO7eoA+aqu0g/bNVRYAQBhQ4UVOWerrLlcGcB1x5QT+2SB7rbsV0rN+Jo5ADx0508VFVaEFhVW5JxUVfMVVgFfEVYBIH8IrMgLwioA+OVTfc0ACCECKwAAEcCnAAgzAisAAAC8RmAFAACA1wisAAAA8BqBFQAAAF4jsAIAAMBrBFYAAAB4jcAKAAAArxFYAQAA4DUCKwAAALxGYAUAAIDXStqOM2MAAADAO1RYAQAA4DUCKwAAALxGYAUAAIDXCKwAAADwGoEVAAAAXiOwAgAAwGsEVgAAAHiNwIqisnfvXjMC8qO1tVVvmWJOIt+ynZNAGBFYURRqa2tV3759VV1dnTkD5Mfu3btVnz59VHV1ddqQwJxEoWQ6J4EwI7Ai1GwomDlzpmppaTFngfw5rD6h9zU1NUlDwiOPrWZOolukmpNAMSCwIpRSBdXevXubEZAfvdR7ZhRjQ8KIL31Vz8lZ0yYyJ9GtCK4oRiVtx5kx4D3pBxw8eDCVKwDI0KpVq1RFRYU5AsKJCitCpaysTP1uV5OaPHmyOZOoauG9Sq7B2Njyte3YscPMtkRS0Uqmqqoq6fdhY8vVlmpOjhgxQu3cuZOwiqJAYEXonP/PpWrFihXq7bffVtOnTzdnY076n4/MCCiM8ku/oENBc3OzrvwH5yQtASi0YcOGqc07GtXWrVtVeXm5OQuEG4EVoXXOOefoO7CbmuIV11NOOUXvgXyT6pVUtna++Hx7KCgtLW2fk9dff70+d+jQIb0H8s3OSdlGDRtkzgLFgR5WFA3pb33zzTd1dQHIl2zmmbz2wIEDVLmQV/zbhyggsAIAAMBrtAQAAADAawRWAAAAeI3ACgAAAK8RWAEAAOA1AisAAAC8RmAFAACA1wisAAAA8BqBFShyDQ0NauTIkXqTBcYBn7jzU8YAkAyBFShyu3btUtu2bdObPA0H8Ik8xtbOT5mrAJAMgRUA0G1aW1vNSKnS0lIzAoBEBFagyBEC4LNTTjnFjBLDKwC4CKxAkSMEwGcff/yxGQFAagRWAEC34RMAAJkgsAIAug09rAAyQWAFihwhAGFB+wqAVAisQJEjBCAsuLgCkAqBFShy7l3YgG/ckMrFFYBUCKxAkeMubPiMkAogEwRWoMjxMSt8xvwEkAkCK1DkqGDBZ+78JLwCSIXACgDwAhdXAFIhsAIAvECFFUAqBFagyBEC4DN3flJhBZAKgRUocoQA+Iz5CSATBFYAQLfhEwAAmShpO86MARSh2tpaNXPmTD0uKytT5513njp48KA+PuussxLGW7du1WOgUNLNz549e6ojR47osczPtWvXEnCBiCKwAkVu9erVauLEieYoPf45QKHV19erK664whyl19TUpEMtgOghsAJFTnoEpYp16NAh1bt3b/XBBx+oM844o31vz4uqqiq9Bwqpuro6YW663Hm6ePFicxZA1BBYAQAA4DVuugIAAIDXCKwAAADwGoEVAAAAXiOwAgAAwGsEVgAAAHiNwAoAAACvEVgBAADgNQIrAAAAvEZgBQAAgNcIrAAAAPAagRUAAABeI7ACAADAawRWAAAAeI3ACgAAAK8RWAEAAOA1AisAAAC8RmAFAACA1wisAAAA8BqBFQAAAF4jsAIAAMBjSv0veC+r3U695SMAAAAASUVORK5CYII=\" data-image-state=\"image-loaded\" width=\"513\" height=\"241\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Keff = effectiveConductivity2(K)\r\n  Keff = mean(K);\r\nend","test_suite":"%%\r\nK1 = 0.1; K2 = 0.2; K3 = 0.01; K4 = 20;\r\no = ones(50,50);\r\nK = [K1*o K2*o; K3*o K4*o];\r\nKeff = effectiveConductivity2(K);\r\nKeff_correct = 0.0916;\r\nassert(abs((Keff_correct-Keff)/Keff_correct)\u003c0.015)\r\n\r\n%%\r\nK1 = 5; K2 = 3; K3 = 8; K4 = 6;\r\nK = K3*ones(50,110);\r\nK(1:20,1:50) = K1;\r\nK(21:end,1:30) = K2;\r\nK(1:20,51:end) = K4;\r\nKeff = effectiveConductivity2(K);\r\nKeff_correct = 2.5471;\r\nassert(abs((Keff_correct-Keff)/Keff_correct)\u003c0.015)\r\n\r\n%%\r\nK1 = 0.1; K2 = 1;\r\nK = diag(K2*ones(50,1));\r\nfor j = 1:9\r\n    K = K+diag(K2*ones(1,50-j),j)+diag(K2*ones(1,50-j),-j);\r\nend\r\nK(K==0) = K1;\r\nKeff = effectiveConductivity2(K);\r\nKeff_correct = 0.2945;\r\nassert(abs((Keff_correct-Keff)/Keff_correct)\u003c0.015)\r\n\r\n%%\r\nK1 = 1; K2 = randi(9)/10;\r\nw1 = 10*randi(9); w2 = 100-w1;\r\nK = K2*ones(100); K(1:w1,:) = K1; \r\nKeff = effectiveConductivity2(K);\r\nKeff_correct = (K1*w1+K2*w2)/(w1+w2);\r\nassert(abs((Keff_correct-Keff)/Keff_correct)\u003c0.015)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":"2022-02-02T15:06:37.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-01-28T03:19:00.000Z","updated_at":"2026-04-05T08:16:36.000Z","published_at":"2022-01-28T03:21:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e asked for a function to compute the effective hydraulic conductivity of a heterogeneous aquifer—or the single \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003evalue of conductivity set such that the aquifer produces the same flow under the same total change in head\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. In that problem, the aquifer had soil units either in series only or in parallel only. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the effective conductivity for two-dimensional flow in an aquifer with a more complicated distribution of conductivity. Flow is left to right, or to the east, as in the figure below. No flow occurs across the north and south boundaries. Assume the head difference is small enough that Darcy’s law applies. Use the conductivity specified on the equally-spaced grid provided. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if in the aquifer below \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 0.1 m/d, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 0.2 m/d, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K3\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 0.01 m/d, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 20 m/d, then the effective conductivity is 0.092 m/d. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHint\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: The simple formulas that work for soil units either in series only or in parallel only will not work for these more complicated distributions because two-dimensional flow violates assumptions behind the formulas. In this problem, compute the effective conductivity directly from the definition. Darcy's law yields the specific discharges (or flow per unit cross-sectional area) of \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"vx = -Kdh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev_x = -K\\\\frac{\\\\partial h}{\\\\partial x} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e   and   \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v_y = -Kdh/dy\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev_y = -K\\\\frac{\\\\partial h}{\\\\partial y}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThen conservation of mass leads to \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d/dx(K dh/dx) + d/dy(K dh/dy) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{\\\\partial}{\\\\partial x} \\\\left(K \\\\frac{\\\\partial h}{\\\\partial x}\\\\right) + \\\\frac{\\\\partial}{\\\\partial y} \\\\left(K \\\\frac{\\\\partial h}{\\\\partial y}\\\\right) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSolve this equation for the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, compute the flow through the aquifer, and get the effective conductivity from the definition.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"241\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"513\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52070,"title":"Compute the effective conductivity of a heterogeneous aquifer","description":"Slow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water  to the gradient in piezometric head  by\r\n\r\nwhere  is the conductivity of the soil and  is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow  (and the specific discharge ) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \r\nSome aquifers, or underground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of  set such that the aquifer produces the same flow under the same total change in head. \r\nFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If  is 2 m/d (meters/day) and  is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \r\nWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. The relative size of each unit is indicated by the number of rows or columns. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 634px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 317px; transform-origin: 407px 317px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.833px 7.91667px; transform-origin: 311.833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSlow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 56.0083px 7.91667px; transform-origin: 56.0083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the gradient in piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"dh/dx\" style=\"width: 39.5px; height: 19px;\" width=\"39.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.33333px 7.91667px; transform-origin: 9.33333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8333px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4167px; text-align: left; transform-origin: 384px 17.4167px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 7.91667px; transform-origin: 21.0083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.625px 7.91667px; transform-origin: 104.625px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the conductivity of the soil and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 244.283px 7.91667px; transform-origin: 244.283px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.1333px 7.91667px; transform-origin: 87.1333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (and the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 19px;\" width=\"57.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 227.95px 7.91667px; transform-origin: 227.95px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.175px 7.91667px; transform-origin: 57.175px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSome aquifers, or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 325.6px 7.91667px; transform-origin: 325.6px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eunderground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 252.433px 7.91667px; transform-origin: 252.433px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e set such that the aquifer produces the same flow under the same total change in head. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.625px; text-align: left; transform-origin: 384px 31.625px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.917px 7.91667px; transform-origin: 376.917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K1\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.225px 7.91667px; transform-origin: 83.225px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 2 m/d (meters/day) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAoCAYAAACWwljjAAABfklEQVRYhe2WXZGFMAyFPw91gAEMoAAFdbAOrgMsoAEJeMACGrCw+1AyN+2Gv50L3YeeGR6AtBxyktNAQUFBXjTAa+f6UrF7ce6TpBzQAd/qmoHKiPUqZlnJ3IImIWSRAeh5E67vIgNBGiEzHpAZ+bBEFkZFKJXBAcPGu9ug5WrU8xqYCPXSPkWmJS5UkUNknHlAIg3dYQOxRP2TRASTItQTMrIQe9BjcMT1c+RDtyM1ulnddzkIibeIXNogFzJkSWfEr8+0Jw0n92mTdSN/cPKauG6qjedHG3tCY/iVmHRo6mmH0MfFnLzTUk4H+1gNIKTOZjhaZBVwRagheb/l0o2xFt5me/QzEbQs1gdfxBm84tbSHKczlI4b1scccZauGKXYyek1+rjYS6uOu2ID/brvqaw2xH++YHeSPtOutHPFhQ7zbM/F/mRcGptiJNM5aKEj05FjwRNq59HZaQsee9Z2ZJipxAR7ftfazIOjL4SO0x1rzVX/QsKCgoICwQ+2aq9ZyMmVYQAAAABJRU5ErkJggg==\" alt=\"K2\" style=\"width: 18px; height: 20px;\" width=\"18\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 251.125px 7.91667px; transform-origin: 251.125px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.242px 7.91667px; transform-origin: 376.242px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. The relative size of each unit is indicated by the number of rows or columns. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 208.917px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 104.458px; text-align: left; transform-origin: 384px 104.458px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 382px;height: 203px\" src=\"data:image/png;base64,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\" alt=\"Aquifers in series and parallel\" data-image-state=\"image-loaded\" width=\"382\" height=\"203\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Keff = effectiveConductivity(K)\r\n  Keff = mean(K);\r\nend","test_suite":"%%\r\nK1 = 2;\r\nK2 = 6;\r\nK  = K1*ones(4);\r\nK(:,1:2) = K2;\r\nKeff_correct = 3;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK  = K1*ones(4);\r\nK(:,3:4) = K2;\r\nKeff_correct = 3;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK  = K1*ones(4);\r\nK(1:2,:) = K2;\r\nKeff_correct = 4;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 2;\r\nK2 = 6;\r\nK  = K1*ones(4);\r\nK(3:4,:) = K2;\r\nKeff_correct = 4;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10*rand;\r\nK  = K1*ones(7);\r\nKeff_correct = K1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK  = K1*ones(10);\r\nK(:,10) = K2;\r\nKeff_correct = 5.2632;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK  = K1*ones(10);\r\nK(:,5) = K2;\r\nKeff_correct = 5.2632;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK  = K1*ones(10);\r\nK(10,:) = K2;\r\nKeff_correct = 9.1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 10;\r\nK2 = 1;\r\nK  = K1*ones(10);\r\nK(5,:) = K2;\r\nKeff_correct = 9.1;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 4;\r\nK2 = 1;\r\nK3 = 8;\r\nK  = K1*ones(8);\r\nK(4:6,:) = K2;\r\nK(7:8,:) = K3;\r\nKeff_correct = 3.875;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 4;\r\nK2 = 1;\r\nK3 = 8;\r\nK  = K1*ones(8);\r\nK(:,4:6) = K2;\r\nK(:,7:8) = K3;\r\nKeff_correct = 2;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 1;\r\nK2 = 2;\r\nK3 = 3;\r\nK4 = 4;\r\nK  = K1*ones(10);\r\nK(5:7,:) = K2;\r\nK(8:9,:) = K3;\r\nK(10,:)  = K4;\r\nKeff_correct = 2;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n\r\n%%\r\nK1 = 1;\r\nK2 = 2;\r\nK3 = 3;\r\nK4 = 4;\r\nK  = K1*ones(10);\r\nK(:,5:7) = K2;\r\nK(:,8:9) = K3;\r\nK(:,10)  = K4;\r\nKeff_correct = 1.5584;\r\nassert(abs(effectiveConductivity(K)-Keff_correct)\u003c1e-4)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-06-17T14:24:44.000Z","updated_at":"2026-03-16T13:48:00.000Z","published_at":"2021-06-17T14:30:00.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSlow flow through soil or another porous medium follows Darcy’s law, which relates the flow of water \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to the gradient in piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003edh/dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the conductivity of the soil and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area (i.e., the aquifer thickness multiplied by the aquifer width). The flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (and the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) is analogous to current in an electrical circuit, and the change in head is analogous to the voltage drop. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSome aquifers, or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eunderground water-bearing formations, consist of multiple soil units in series or parallel, as shown below. The analysis of these aquifers is often simplified by computing the effective conductivity—that is, treating the aquifer as homogeneous with the single value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e set such that the aquifer produces the same flow under the same total change in head. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, suppose the soil units have equal size in the two aquifers shown below and flow in both cases is from left to right. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 2 m/d (meters/day) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 6 m/d, then the effective conductivity is 4 m/d in the parallel case and 3 m/d in the series case. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the effective conductivity of an aquifer whose conductivity (in m/d) is specified as a matrix. Flow is always left to right, and heterogeneous cases involve either units in series or units in parallel. In the series case, the conductivity will be constant in each column, and in the parallel case, the conductivity will be constant in each row. The relative size of each unit is indicated by the number of rows or columns. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"203\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"382\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Aquifers in series and parallel\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59007,"title":"Compute head profiles for steady 1D flow through soils in series","description":"Cody Problem 58966 involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and Cody Problem 52070 involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\r\nWrite a function to compute the head  at specified points  for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at  and , and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 156px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 78px; transform-origin: 407px 78px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 308.35px 8px; transform-origin: 308.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 52070\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116.167px 8px; transform-origin: 116.167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at specified points \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 187.467px 8px; transform-origin: 187.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function h = flowInSeries(x,xb,K,h0,hL,isconfined)\r\n  h = interp1(xb,linspace(h0,hL,length(xb)),x);\r\nend","test_suite":"%%\r\nx = 0:100:900;                              %  Positions where head is requested (m)\r\nxb = [0 600 900];                           %  Locations of boundaries of soil units (m)\r\nK = [3e-6 1e-4];                            %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 10;                                    %  Head at x = 0 (m)\r\nhL = 9;                                     %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [10 9.8358 9.6716 9.5074 9.3432 9.179 9.0148 9.0099 9.0049 9];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:50:700;                               %  Positions where head is requested (m)\r\nxb = [0 450 700];                           %  Locations of boundaries of soil units (m)\r\nK = [2 0.3];                                %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 25;                                    %  Head at x = 0 (m)\r\nhL = 22;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [25 24.9333 24.8664 24.7994 24.7321 24.6647 24.5971 24.5293 24.4613 24.3931 23.9336 23.4652 22.9872 22.499 22];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200;                           %  Positions where head is requested (m)\r\nxb = [0 1500];                              %  Locations of boundaries of soil units (m)\r\nK = 100*rand;                               %  Hydraulic conductivities of soil units (m/d)\r\nh0 = 13;                                    %  Head at x = 0 (m)\r\nhL = 12;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 100:100:1400;                           %  Positions where head is requested (m)\r\nxb = [0 1500];                              %  Locations of boundaries of soil units (m)\r\nK = 50*rand;                                %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 21;                                    %  Head at x = 0 (m)\r\nhL = 19;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [20.8726 20.7445 20.6155 20.4858 20.3552 20.2237 20.0915 19.9583 19.8242 19.6893 19.5533 19.4165 19.2787 19.1398];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [1 0.2 30];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8649 37.7297 37.5946 37.4595 36.7838 36.1081 35.4324 34.7568 34.0811 33.4054 32.7297 32.0541 32.0495 32.045 32.0405 32.036 32.0315 32.027 32.0225 32.018 32.0135 32.009 32.0045 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [0.2 30 1];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.0702 36.1405 35.2107 34.281 34.2748 34.2686 34.2624 34.2562 34.25 34.2438 34.2376 34.2314 34.0455 33.8595 33.6736 33.4876 33.3017 33.1157 32.9298 32.7438 32.5579 32.3719 32.186 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [30 1 0.2];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9971 37.9941 37.9912 37.9883 37.9002 37.8121 37.7241 37.636 37.5479 37.4599 37.3718 37.2838 36.8434 36.4031 35.9628 35.5225 35.0822 34.6419 34.2016 33.7613 33.3209 32.8806 32.4403 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [1 0.2 30];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.8753 37.7502 37.6247 37.4988 36.8628 36.2156 35.5566 34.8851 34.2005 33.5019 32.7884 32.0591 32.0541 32.0492 32.0443 32.0394 32.0345 32.0295 32.0246 32.0197 32.0148 32.0099 32.0049 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [0.2 30 1];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.1338 36.2469 35.3377 34.4045 34.3982 34.3919 34.3856 34.3793 34.373 34.3666 34.3603 34.354 34.164 33.973 33.7809 33.5877 33.3933 33.1979 33.0013 32.8034 32.6044 32.4042 32.2027 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 0:250:6000;                             %  Positions where head is requested (m)\r\nxb = [0 1000 3000 6000];                    %  Locations of boundaries of soil units (m)\r\nK = [30 1 0.2];                             %  Hydraulic conductivities of soil units (m/s)\r\nh0 = 38;                                    %  Head at x = 0 (m)\r\nhL = 32;                                    %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [38 37.9973 37.9946 37.9919 37.9892 37.908 37.8266 37.745 37.6633 37.5813 37.4992 37.4169 37.3345 36.9194 36.4996 36.0749 35.6451 35.2101 34.7697 34.3236 33.8716 33.4136 32.9491 32.478 32];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nx = 300:300:1200;                               %  Positions where head is requested (m)\r\nxb = [0 unique(100*randi(14,1,randi(6))) 1500]; %  Locations of boundaries of soil units (m)\r\nK0 = 100*rand;                                  %  Hydraulic conductivity of soil units (m/d)\r\nK = repelem(K0,length(xb)-1);                   %  Hydraulic conductivities of soil units (m/d)\r\nh0 = 13;                                        %  Head at x = 0 (m)\r\nhL = 12;                                        %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(x,xb,K,h0,hL,isconfined);\r\nh_correct = [12.8 12.6 12.4 12.2];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6)));          %  Locations of interfaces of soil units\r\nxb = [0 xi 1500];                               %  Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1);                   %  Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand;                                   %  Head at x = 0 (m)\r\nhL = 25*rand;                                   %  Head at x = L (m)\r\nisconfined = true;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nxi = unique(100*randi(14,1,randi(6)));          %  Locations of interfaces of soil units\r\nxb = [0 xi 1500];                               %  Locations of boundaries of soil units (m)\r\nK = 100*rand(1,length(xb)-1);                   %  Hydraulic conductivity of soil units (m/d)\r\nh0 = 30*rand;                                   %  Head at x = 0 (m)\r\nhL = 25*rand;                                   %  Head at x = L (m)\r\nisconfined = false;\r\nh = flowInSeries(xb,xb,K,h0,hL,isconfined);\r\nassert(all(diff(K.*diff(h.^2)./diff(xb))\u003c1e-12))\r\n\r\n%%\r\nfiletext = fileread('flowInSeries.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-24T14:39:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-24T14:38:53.000Z","updated_at":"2026-02-12T13:44:49.000Z","published_at":"2023-09-24T14:39:24.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966-compute-the-head-for-steady-1d-flow-in-a-homogeneous-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves compute the head profile for steady, one-dimensional flow in a homogeneous aquifer (i.e., one with uniform hydraulic conductivity), and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070-compute-the-effective-conductivity-of-a-heterogeneous-aquifer?s_tid=ta_cody_results\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 52070\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e involves computing the effective conductivity of simple heterogeneous aquifers (i.e., those with multiple soil units either all in parallel or all in series). This problem asks solvers to combine the ideas from the two problems for soil units in series.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at specified points \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for steady 1D flow through soils in series. Other input to the function is the locations of the boundaries of the soil units, their hydraulic conductivities, the heads at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a Boolean variable that is true for confined aquifers and false for unconfined aquifers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59147,"title":"Determine aquifer properties: steady pump test in a leaky confined aquifer","description":"Problem statement\r\nWrite a function to determine the hydraulic conductivity  of a leaky confined aquifer and the hydraulic conductivity  of the leaky confining layer given the pumping rate  and radius  of the well, the drawdowns  measured at distances  from the well, and the thicknesses  and  of the leaky confined aquifer and the leaking confining layer, respectively. \r\nBackground\r\nCody Problem 59002 dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in other pumping tests, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\r\nAn analytical solution for the drawdown can be determined by solving the equation\r\n\r\nwith the boundary conditions that the drawdown far from the well is zero (i.e., ) and the flow at the well is . Using Darcy’s law and the convention that flow to the well is positive, one finds\r\n\r\nThe governing equation is related to the one in Cody Problem 51783, and it is the polar coordinates version of the equation in Cody Problem 59002. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 819.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 409.55px; transform-origin: 407px 409.55px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 179.325px 8px; transform-origin: 179.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a leaky confined aquifer and the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"18\" alt=\"K'\" style=\"width: 19px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the leaky confining layer given the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.5667px 8px; transform-origin: 36.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"rw\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 86.35px 8px; transform-origin: 86.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the well, the drawdowns \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003es\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.2917px 8px; transform-origin: 74.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e measured at distances \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the well, and the thicknesses \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"18\" alt=\"b'\" style=\"width: 15px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.767px 8px; transform-origin: 229.767px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the leaky confined aquifer and the leaking confining layer, respectively. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59002\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 59002\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 310.817px 8px; transform-origin: 310.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/49743\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eother pumping tests\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 215.092px 8px; transform-origin: 215.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 254.808px 8px; transform-origin: 254.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn analytical solution for the drawdown can be determined by solving the equation\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"136.5\" height=\"36.5\" alt=\"d2s/dr2 + (1/r)ds/dr - K's/Kbb' = 0\" style=\"width: 136.5px; height: 36.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 239.6px 8px; transform-origin: 239.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewith the boundary conditions that the drawdown far from the well is zero (i.e., \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHkAAAAlCAYAAABmtkbFAAAFO0lEQVR4Xu2bS6hNYRTH752TYsSAwoA8B16RiQGlpChkJAOPgSRRZEwxkoFHBjcTj5KJFAOKlMdIiAEDBowoMWf9ai+ts8/+Xvvsffa+9+xTq3O793usb/3X+q/1rb3v+Fj3mfIWGJ/yJ+wOONaBPAJO0IHcgTywBVbLCvNFbg+8UrkFFsi0VQ3uX07rimfVGckAfElkq8jPivVOWe68DJ4nsjtl0lQaWxfIAHxDZEPDACtWyiQjCXQdIM8Uy34R2SnyqEUR8UJ0mRC50iKdUlUh/ZzNmIm5c0XeipwRee1arA6QMSYgty1qYJfHIitFPqdatwXjD4kOl0VeitgUCEvtErkmcrBIz6pB3iybPBRZ2FJDYhDy87oWgJaigtr1T4GTwpzvRGaLnBY5l1+4apDbGsV6bjXWGh+9pVh/SGO/ZSDecTDkKfk9NI4T4MQ9hW6VIEOHr0T2iDR1ZYqxOQZ75jBWzPxhj1GaZt/DIkU1hdqeMRdETlolqwT5qix8QGRW3pOGbZXAfjggOW16y/RyqUP6g4H4+Bjobzbmo3wvrgvkD9nCPRu00JBKbZOFshU8qNjnmKTKtZm9ewItFMlUyMdEloi8F5kh8lRkr0ie+1GGyi+lqGH9/cZTv8vPPirFo4+LrBeZJsLBH4hAY7ENF83LLuprk19yZfqUKZQC8haZ8//66gNZjYHhN4pw7dBryG/5eakxrOaEvnzgsZiW/tALn0VmbFEVaXNTftmi8a6t9VwpuupadM9OVOAFsSyiurJlCsg9VbYPZM0FeY4HnOUilpZTDYexiCQqQi358dr7BmwLHBF/KzMubAGbwCrbRLg6xBjBYgPruCpVH4ZNghxiSa2J0D8ZZCbZey8G3yFimx0pIHOv++Exsi00AHqTCE0M2GOfSL6LpoyAnrEUXCa1+MCv6282kjk3NOz6WAeMBtnSY8iLUkDWwqcnbxjNcYLnIkrfAA3A20VcrTstOkKG0G0mI8i10DUGoWJWY/tyWArIGnm+vGTvfehR2MkxjqF0Tv0wJxBWyiTONmBdYVliXdWVqSkgRxdeLKyFFpUsH1ejQ6vAmGJGo84VyWoLSz99d7+cwdQYIUMwLcUhS+BS+RRYTG8SMVcoTXH/WS90hUJjS9s+I8ZSoIIciiTrxTHRHLu/glymMzfswotz2xrF90xAnaGPzYpAJmfmm9z2ou2KQMbw6CtEl2qowj6riQPtTCmL8CcXxadQsO5f5iFKEyDbIAsxKTbqC54ikImIvAHsFca1kRZUobamXauIhgHsZkar0D9XJdqlfFz3YfYmb1OJO5+rZmsQGcsinLFy3h1gwZQHFH2PUvMgK5XlCx37qKvvKUemvOblmGuMKq3A0bXiGfSKDFx+b5+b2gIwn3PQ7a4Iz1p7GvMOo+LEMbXDAJhUPtVepYqCSO0Z9ajRBabmhVCVC2XzCbU28wVd3ir5B+NEN46gvVnGk3t+iVD9x16dlPrKUHXlyCUuqLoXNaeSXhog5xBNb0ToJmFE8izfF0VCr86kvDSgr7LQMqVrRYTSH5/w7MNBj2bAxozP2xEn5GyFb1AkGr2J4dq7J918FSGV8X3Ph01MdZ16GNprOEoomlPXHXQ8tcB1EVe6GXT91s6vA2TtWMVE/rAM09aXC4dy/jpARnF978jXihzKAbNNpsKbmqXtVRfICjTF0hGR0LWm9AEiJnLffuLLWRFrTOohdYKsQPNvKk29f01xB6s06WSNO0jdIDd+wE6Bse5fV0fBCbpIHgGUO5A7kEfAAiNwxH8bNVA1j7pNHAAAAABJRU5ErkJggg==\" width=\"60.5\" height=\"18.5\" alt=\"s(inf) = 0\" style=\"width: 60.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) and the flow at the well is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Using Darcy’s law and the convention that flow to the well is positive, one finds\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"141.5\" height=\"35\" alt=\"Q0 = -2pi rw b K (ds/dr)|_{r=rw}\" style=\"width: 141.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 146.267px 8px; transform-origin: 146.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe governing equation is related to the one in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51783\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 51783\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 169.983px 8px; transform-origin: 169.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and it is the polar coordinates version of the equation in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59002\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 59002\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 370.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 185.35px; text-align: left; transform-origin: 384px 185.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"504\" height=\"365\" style=\"vertical-align: baseline;width: 504px;height: 365px\" src=\"data:image/png;base64,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\" alt=\"Steady pump test in a leaky confined aquifer\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp)\r\n% K = hydraulic conductivity of aquifer; Kp = hydraulic conductivity of confining layer\r\n% Other variables are defined in the test suite\r\n \r\n   K = Q0*log(r(1)/r(2))/(2*pi*b*(s(2)-s(1));\r\n   Kp = K*bp/b;\r\n   \r\nend","test_suite":"%%\r\nr = [30 75];                %  Distances from the well (m)\r\ns = [0.4 0.25];             %  Observed drawdown (m)\r\nQ0 = 1000;                  %  Pumping rate (m3/d)\r\nrw = 0.6;                   %  Radius of the well (m)\r\nb = 10;                     %  Thickness of the confined aquifer (m)\r\nbp = 1.5;                   %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 93.54;\r\nKp_correct = 1.82e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75];                %  Distances from the well (m)\r\ns = [0.4 0.25];             %  Observed drawdown (m)\r\nQ0 = 2000;                  %  Pumping rate (m3/d)\r\nrw = 0.6;                   %  Radius of the well (m)\r\nb = 10;                     %  Thickness of the confined aquifer (m)\r\nbp = 1.5;                   %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 187.07;\r\nKp_correct = 3.64e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75];                %  Distances from the well (m)\r\ns = [0.6 0.4];              %  Observed drawdown (m)\r\nQ0 = 1000;                  %  Pumping rate (m3/d)\r\nrw = 0.6;                   %  Radius of the well (m)\r\nb = 10;                     %  Thickness of the confined aquifer (m)\r\nbp = 1.5;                   %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 71.32;\r\nKp_correct = 7.00e-3;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [30 75];                %  Distances from the well (m)\r\ns = [0.6 0.4];              %  Observed drawdown (m)\r\nQ0 = 1000;                  %  Pumping rate (m3/d)\r\nrw = 0.3;                   %  Radius of the well (m)\r\nb = 10;                     %  Thickness of the confined aquifer (m)\r\nbp = 3;                     %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 71.32;\r\nKp_correct = 1.40e-2;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [100 240];              %  Distances from the well (m)\r\ns = [4.0 2.8];              %  Observed drawdown (m)\r\nQ0 = 3500;                  %  Pumping rate (m3/d)\r\nrw = 0.3;                   %  Radius of the well (m)\r\nb = 35;                     %  Thickness of the confined aquifer (m)\r\nbp = 2.3;                   %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 11.43;\r\nKp_correct = 3.74e-4;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nr = [100 240];              %  Distances from the well (m)\r\ns = [10 8];                 %  Observed drawdown (m)\r\nQ0 = 3500;                  %  Pumping rate (m3/d)\r\nrw = 0.3;                   %  Radius of the well (m)\r\nb = 35;                     %  Thickness of the confined aquifer (m)\r\nbp = 2.3;                   %  Thickness of the leaky confining layer (m)\r\n[K,Kp] = steadyPumpTestLeakyConfined(r,s,Q0,rw,b,bp);\r\nK_correct = 6.959;\r\nKp_correct = 1.126e-5;\r\nassert(abs(K-K_correct)/K_correct\u003c1e-4)\r\nassert(abs(Kp-Kp_correct)/Kp_correct\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('steadyPumpTestLeakyConfined.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-11-04T15:23:23.000Z","updated_at":"2026-02-12T15:06:18.000Z","published_at":"2023-11-04T15:23:23.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a leaky confined aquifer and the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the leaky confining layer given the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the well, the drawdowns \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e measured at distances \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from the well, and the thicknesses \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the leaky confined aquifer and the leaking confining layer, respectively. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59002\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 59002\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e dealt with one-dimensional flow in a leaky confined aquifer. This problem involves flow to a well in a leaky confined aquifer. As in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/49743\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eother pumping tests\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, the idea is to determine the properties of the aquifer by disturbing it, observing the response, and comparing to an analytical solution. Here the two unknown hydraulic conductivities are determined from two observations of drawdown.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn analytical solution for the drawdown can be determined by solving the equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d2s/dr2 + (1/r)ds/dr - K's/Kbb' = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{d^2s}{dr^2}+\\\\frac{1}{r}\\\\frac{ds}{dr}-\\\\frac{K\\\\prime s}{\\nKbb\\\\prime} = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewith the boundary conditions that the drawdown far from the well is zero (i.e., \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s(inf) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es(\\\\infty) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) and the flow at the well is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Using Darcy’s law and the convention that flow to the well is positive, one finds\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0 = -2pi rw b K (ds/dr)|_{r=rw}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0 = -2\\\\pi r_wbK\\\\frac{ds}{dr}|_{r=r_w}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe governing equation is related to the one in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51783\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 51783\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and it is the polar coordinates version of the equation in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59002\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 59002\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"365\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Steady pump test in a leaky confined aquifer\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59152,"title":"Determine aquifer properties: steady pump test in confined or unconfined aquifers","description":"Problem statement\r\nWrite a function to determine the hydraulic conductivity  and radius of influence  using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns  measured at distances  from the well, the input will include the pumping rate , the piezometric head  in the absence of pumping, and a variable b that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine  and  from a curve fit to either the drawdown or piezometric head . \r\nBackground\r\nConservation of mass for steady flow says that the flow past any cylinder of radius  centered on the well has to be equal to the pumping rate . Then if the flow is defined as positive toward the well (i.e., in the  direction), Darcy’s law states\r\n\r\nwhere  is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness  for the confined aquifer and the (variable) thickness  for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\r\n\r\none can determine an expression for the drawdown for the confined aquifer or piezometric head  for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 435.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 217.9px; transform-origin: 407px 217.9px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 106px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53px; text-align: left; transform-origin: 384px 53px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.408px 8px; transform-origin: 171.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.3px 8px; transform-origin: 74.3px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and radius of influence \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 120.567px 8px; transform-origin: 120.567px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003es\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.2917px 8px; transform-origin: 74.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e measured at distances \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.1667px 8px; transform-origin: 57.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the well, the input will include the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.7917px 8px; transform-origin: 70.7917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 133.817px 8px; transform-origin: 133.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in the absence of pumping, and a variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.85px 8px; transform-origin: 3.85px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eb\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.2167px 8px; transform-origin: 34.2167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.05px 8px; transform-origin: 89.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from a curve fit to either the drawdown or piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"65\" height=\"18\" alt=\"h = H - s\" style=\"width: 65px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 255.925px 8px; transform-origin: 255.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConservation of mass for steady flow says that the flow past any cylinder of radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 123.283px 8px; transform-origin: 123.283px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e centered on the well has to be equal to the pumping rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 203.417px 8px; transform-origin: 203.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then if the flow is defined as positive toward the well (i.e., in the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"20\" height=\"18\" alt=\"-r\" style=\"width: 20px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.8833px 8px; transform-origin: 90.8833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e direction), Darcy’s law states\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"79.5\" height=\"35\" alt=\"Q0 = K(dh/dr)A\" style=\"width: 79.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 352.267px 8px; transform-origin: 352.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.4583px 8px; transform-origin: 75.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the confined aquifer and the (variable) thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 282.008px 8px; transform-origin: 282.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"64\" height=\"18.5\" alt=\"h(R) = H\" style=\"width: 64px; height: 18.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 297.975px 8px; transform-origin: 297.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eone can determine an expression for the drawdown for the confined aquifer or piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,R] = steadyPumpTest(r,s,Q0,H,b)\r\n%  K = hydraulic conductivity\r\n%  R = radius of influence\r\n%  r = distance from the well\r\n%  s = drawdown = H - h \r\n%  Q0 = pumping rate\r\n%  H = piezometric head without pumping\r\n%  b = {aquifer thickness if confined, [] if unconfined}\r\n  h = H-s;\r\n  K = Q0/(2*pi*r*b);\r\n  R = interp1(s,r,0);\r\nend","test_suite":"%% Confined aquifer\r\nr = [35 75 110 150];                    %  Distance from well (m)\r\ns = [0.9 0.6 0.3 0.1];                  %  Drawdown (m)\r\nH = 15;                                 %  Piezometric head without pumping (m)\r\nQ0 = 2592;                              %  Pumping rate (m3/d)\r\nb = 25;                                 %  Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 30.0;\r\nR_correct = 192.4;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [50 100];                           %  Distance from well (m)\r\ns = [0.42 0.27];                        %  Drawdown (m)\r\nH = 15;                                 %  Piezometric head without pumping (m)\r\nQ0 = 8000;                              %  Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 401.5;\r\nR_correct = 354.5;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [25 47 70 96 131];                  %  Distance from well (m)\r\ns = [12.32 10.1 8.69 7.53 6.45];        %  Drawdown (m)\r\nH = 50;                                 %  Piezometric head without pumping (m)\r\nQ0 = 4600;                              %  Pumping rate (m3/d)\r\nb = 25;                                 %  Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 8.25;\r\nR_correct = 804.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [25 47 70 96 131];                  %  Distance from well (m)\r\ns = [6.61 5.33 4.54 3.93 3.33];         %  Drawdown (m)\r\nH = 50;                                 %  Piezometric head without pumping (m)\r\nQ0 = 4600;                              %  Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 8.213;\r\nR_correct = 796.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [54 112 140 222];                   %  Distance from well (m)\r\ns = [1.12 0.87 0.74 0.6];               %  Drawdown (m)\r\nH = 64;                                 %  Piezometric head without pumping (m)\r\nQ0 = 2300;                              %  Pumping rate (m3/d)\r\nb = 43;                                 %  Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 22.78;\r\nR_correct = 1087;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Unconfined aquifer\r\nr = [43 98 151 208];                    %  Distance from well (m)\r\ns = [2.65 1.81 1.38 1.06];              %  Drawdown (m)\r\nH = 75;                                 %  Piezometric head without pumping (m)\r\nQ0 = 1300;                              %  Pumping rate (m3/d)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,[]);\r\nK_correct = 2.805;\r\nR_correct = 605.9;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%% Confined aquifer\r\nr = [35 75 110 150];                    %  Distance from well (m)\r\ns = [0.9 0.6 0.3 0.1];                  %  Drawdown (m)\r\nH = 15;                                 %  Piezometric head without pumping (m)\r\nQ0 = 2592;                              %  Pumping rate (m3/d)\r\nb = 60*rand;                            %  Aquifer thickness (m)\r\n[K,R] = steadyPumpTest(r,s,Q0,H,b);\r\nK_correct = 750/b;\r\nR_correct = 192.4;\r\nassert(abs(K-K_correct)/K_correct \u003c 1e-3)\r\nassert(abs(R-R_correct)/R_correct \u003c 1e-3)\r\n\r\n%%\r\nfiletext = fileread('steadyPumpTest.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-11-05T15:51:52.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-11-05T15:51:46.000Z","updated_at":"2026-02-12T14:11:09.000Z","published_at":"2023-11-05T15:51:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and radius of influence \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e using data from a steady pump test in either a confined aquifer or an unconfined aquifer. Along with the drawdowns \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e measured at distances \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from the well, the input will include the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in the absence of pumping, and a variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that is the thickness of the confined aquifer or empty for an unconfined aquifer. Determine \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from a curve fit to either the drawdown or piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h = H - s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh = H-s\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConservation of mass for steady flow says that the flow past any cylinder of radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e centered on the well has to be equal to the pumping rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then if the flow is defined as positive toward the well (i.e., in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"-r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e-r\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e direction), Darcy’s law states\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0 = K(dh/dr)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0 = K \\\\frac{dh}{dr} A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area, or surface area of the vertical sides of the cylinder. The key difference between the confined and unconfined cases is that the flow thickness (or height of the cylinder) is the (constant) thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the confined aquifer and the (variable) thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the unconfined aquifer. Along with the condition that no drawdown occurs for distances greater than the radius of influence—that is,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(R) = H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(R) = H\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eone can determine an expression for the drawdown for the confined aquifer or piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for the unconfined aquifer and fit the resulting expression to the measurements to determine the aquifer properties.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":55825,"title":"Measure the hydraulic conductivity with a constant-head permeameter","description":"A constant-head permeameter is a device for measuring the hydraulic conductivity  of a soil sample. In this problem the sample is placed in a cylinder of length  and cross-sectional area . By supplying a flow  to a standpipe, water is maintained at a constant level so that the head difference , or the difference in water levels between the standpipe and outlet, is constant. \r\nThe hydraulic conductivity can then be determined from Darcy’s law\r\n\r\nwhere the head gradient  is simply . Darcy’s law applies when a Reynolds number based on the specific discharge  and representative diameter  of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere  is the kinematic viscosity of the fluid.\r\nThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\r\n\r\nwhere  is the acceleration of gravity and  is the porosity of the soil \r\nWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use  and .\r\n\r\n                              ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 838.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 419.2px; transform-origin: 407px 419.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.342px 8px; transform-origin: 256.342px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.958px 8px; transform-origin: 113.958px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.1333px 8px; transform-origin: 80.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.7333px 8px; transform-origin: 65.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. By supplying a flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.8417px 8px; transform-origin: 75.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to a standpipe, water is maintained at a constant level so that the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah\" style=\"width: 21.5px; height: 18px;\" width=\"21.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 188.533px 8px; transform-origin: 188.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference in water levels between the standpipe and outlet, is constant. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209.533px 8px; transform-origin: 209.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can then be determined from Darcy’s law\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.4167px 8px; transform-origin: 77.4167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere the head gradient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"dh/dx\" style=\"width: 39.5px; height: 18.5px;\" width=\"39.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.725px 8px; transform-origin: 30.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is simply \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Deltah/L\" style=\"width: 38.5px; height: 18.5px;\" width=\"38.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 214.6px 8px; transform-origin: 214.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 91.025px 8px; transform-origin: 91.025px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175.417px 8px; transform-origin: 175.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.733px 8px; transform-origin: 114.733px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 371.492px 8px; transform-origin: 371.492px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 37.1px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.55px; text-align: left; transform-origin: 384px 18.55px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"K = (gd^2/(180nu))(n^3/(1-n)^2)\" style=\"width: 114px; height: 37px;\" width=\"114\" height=\"37\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eg\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 104.242px 8px; transform-origin: 104.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the acceleration of gravity and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 78.95px 8px; transform-origin: 78.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the porosity of the soil \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 363.683px 8px; transform-origin: 363.683px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK8AAAAnCAYAAAB5cRjAAAAIJ0lEQVR4Xu2c2+ttUxTHz/kDkMsbeXB5EKJcEy/K/UUhRPoV5ZoiDs4hyV2klFtRHlxDSrk/eCC5PRDyggfJk/s/wPhojl/jN/ecc4251l5773X2XDVav73WvIw55neOOS5z/bZva1eTwEQlsH2ifDe2mwS2NfA2EExWAg28k526xngDb8PAqklgX2HoBKEjAmOvyf2nFJMNvKs2ddPm5wlh/+Ec2BxDO0rKfCj0o9DeQgeHOrfI/aG4fgOvQ6KtiEsCAO+rALikpuxoBY37mdCG0Meh7EVyfyn8fYp5/v+jBl7XvLRCDgncG4AL4Ppc1DtSaFdU+WX5faHQffG7dQTvQSKE04T2CkJ6T+5f95F2VAfNcZjQSeb5J7G2cPRDO+cLPe0ou0pFfhBmbhcCbH2uk6XS90K/R5V3yO8H1x28gOJxoWOFrhf6JwDtVrljY93QA2gqZwRMO08KvRMeHi73+0PbV8i9a4HA3+WhHZrYpw8CllTnbOn3LaH9EuAbypKC9xxp6G3b2LpoXrWncABiAbPiPwpCmbGrHJLHSbla6GKhWOuoA/KHvDtdKGcLXhmAjpPC9efEwIsMuK5xyKu2yLtS4fiUPNYFvAjgDCE0Y0rACkA0MGGaeOvKCVydFMB2aKaetp30mKUOwP1OiC0Th4UFNjXwsjgvFdqiGWtRmiiPiceczGhdyq4DeBVgjDelHXmu2x5/XyXktTd1SyuBTcu8Iu12OTO6yKYEXsbEAh3DzGEnY2EkNfo6gFfBAzCPFkrZnpgVv4WV/6Xcj3NqDU/beOE7hWa85UQfUwQvAEM7xlECpwizxVgU55YW/DqAVwFRAi/v/g1iLJkAsaStVidqcYlQbHLghWMK5BaObXMoeOGHiIfa3vw+UYjIyt9CZKssf2zL2JMHhvcfyL0mRquLvmtsth/G+60QJtIBQillAt+vCxVNOC9445Tdz9IwA/XahvGkL/K3F7xfCFNEIri6JiMFOJ4BYLY4BUCXvRvLoQ94cTjPEiIWyiLBPLlWiMgKz+yFhjxP6BehG4XYEVLvuyIjWgd7/WahQ+KBmN+aaMAcw7bfU+iywFvKlAK4zwidKWTxpRjctKu7wEsFHSTb6Z2Bqcfkjo3zefj9htw9diIrkBjm0KsmfqpBbvrM2by884I85h0ZUVeBj+YGwBthUgGLFwx9wMtk7y/0vBDRCuYJEN8m9Gno22aqAAzvXxXScwOA8KkwsJxTm5ozFjxAy829Olwpk4mx/iVk/QDVuMhOs2z0i4zvFnrRPi+B104KGoWVoJe19fCivWCyYamUMLzPapwq78T0Ba8K1wKYZ2i5UngsNdY+4NV2LP+AM97+7c6Skp8ucq+zqMBM9aU8qexTkRawcJ0Brw1npmSDPLdo+BJ4LUBjBu27msD0vDRvTVZMhYxAmBg0ZMquw6vVOGuN2aCCph+0nrahACYh4g0hzQO8OfB1OZel+U6BCUf0mEipxeW0TTVX4h2I93rghoiPniRL9TejIEvgVUcj1ro0bLfiGvB6Neu8y9mJie1SQHeTEIkGBXguZpvjS7c7ZPacELauBXEyTplobFXA61m8nnSwdWgB8JD08Yy4SuBV7ztlr6iWSgF73sCbV3sWwLQJ71x42w8IkT/nqgmVUd4e41MnQ1PR1mHyAGIq4FXzz6O4NFSo84h8h6TiN/Hg0bwxeK3x79Uo8wLg0HbiqAlbEZktDuro0btcJizXt+5QKVlotEEXi/UbUu1NBby16eBYcTB2HMM7hHpHrDw2r9VE1q6rcZp0ouZl83odRC/YFYCU92gTbVczc6XYsAVkzt7W9qYC3j7pYOYe0JOm1ysXG3fNW1eojBXDaan3hbBZsAu5EzLzOiGWkWVEG7oEYaMRtQvSkx62O1WX6TAF8Nakg5nvX4Wsg8yzR4U0tFi7023OZ1eo7AUpSXhiI9SIGekCRvx+Xpq3JtpQ4lHtVZyrPva7Ar8UXrILthRWgs8pgLd43iASNoubhFZ82s6GxTxnPpJzWAKvCrLPpNaCehnl4zh2KrULXxogJynD+Vwb7rFhuNxxStW8Hkdw1cHrTQfrfALeU4VStr7uWp4zH9XgtXFPTAVWyDeJVbQM4A3t02rcLsfBmhUzgXJhRL3pnP2myQHPWWEt600UWDl0Ab8mzpszb1iI94Td2DMH2mfKmVV+u0ypbD8lzcukaL7cNsAE1gTePYNcVBk0JV8rkNP3jsMel8xtceob0OYjQpwdIId/lxAmyYaQTXfG41VzSsN1vMcWfFbI443HvkScBqd9/Bb9GjdesBqnzr1XfllcpJVnvuTNTGAqE0tRMmtkHwedAU6BV71CzTuzVRBKYgKspzilMJluX9jvTOKWHHlG8PYx4OAEVOkwUhyG4xQXB1FKoKUP2rbfvcXscAKr5ByjDTkVFl/0z5mDUvvsFnsU+reLx5MOjnmgDnxw2f/FoKfKPAszOz0xeDUUxoGblJ2CIN4U6uvgOHAyShH47gLRKB3vRo2iAC4Q8p51Hn3oMXg1qF7SqjUOyOgDaB0sTAKedPDCmKGjGLxqRJfAqzZg7/jcQkfYOpuHBPSMQk0CZx79FtuIwauedS48puElzIaaDxVHH0jrYFQJsCMTKrRnb0ft0NN4ymGzoR8OmeN0cPF/CDg1j8MzKCftYayVWSkJ9EkHjz6AXKgs999fUv/RZHQmWwdLlYA66WN8HTxoYF1nGwY13irvFhJAkfEBZ82HmQsZeAPvQsTcOhlDAg28Y0i1tbkQCTTwLkTMrZMxJPAfm3EkRnJ8+GwAAAAASUVORK5CYII=\" alt=\"g = 9.81 m/s^2\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"nu = 10^{-6} m^2/s\" style=\"width: 87.5px; height: 19.5px;\" width=\"87.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 338.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 169.35px; text-align: left; transform-origin: 384px 169.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 494px;height: 333px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"494\" height=\"333\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: center; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = CHP(Q,L,D,dh,n)\r\n   K = f(Q,L,D,dh);\r\n   isDLvalid = true;","test_suite":"%% Coarse sand #1\r\nQ  = 8.92e-6;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.05;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #1--larger cylinder area\r\nQ  = 3.57e-5;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.1;                   %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Coarse sand #2\r\nQ  = 2.44e-5;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.05;                  %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 9.69e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1\r\nQ  = 1.52e-5;               %  Flow (m3/s) \r\nL  = 0.08;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.1;                   %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 2.42e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%% Medium sand #1--reduced head difference\r\nQ  = 7.61e-6;               %  Flow (m3/s) \r\nL  = 0.08;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.05;                  %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 2.42e-3;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Medium sand #2\r\nQ  = 7.08e-7;               %  Flow (m3/s) \r\nL  = 0.1;                   %  Sample length (m)\r\nD  = 0.05;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.3;                   %  Porosity\r\nK_correct = 1.2e-4;         %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Fine sand \r\nQ  = 3.57e-7;               %  Flow (m3/s) \r\nL  = 0.075;                 %  Sample length (m)\r\nD  = 0.075;                 %  Diameter of cylinder holding sample (m)\r\ndh = 0.4;                   %  Head difference (m)\r\nn  = 0.25;                  %  Porosity\r\nK_correct = 1.51e-5;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%% Silt \r\nQ  = 1.17e-7;               %  Flow (m3/s) \r\nL  = 0.05;                  %  Sample length (m)\r\nD  = 0.08;                  %  Diameter of cylinder holding sample (m)\r\ndh = 0.3;                   %  Head difference (m)\r\nn  = 0.4;                   %  Porosity\r\nK_correct = 3.88e-6;        %  Hydraulic conductivity (m/s)\r\n[K,isDLvalid] = CHP(Q,L,D,dh,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nfiletext = fileread('CHP.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-08-18T23:24:39.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-17T14:41:04.000Z","updated_at":"2025-12-01T14:29:21.000Z","published_at":"2022-09-17T14:42:34.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA constant-head permeameter is a device for measuring the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. By supplying a flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to a standpipe, water is maintained at a constant level so that the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference in water levels between the standpipe and outlet, is constant. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe hydraulic conductivity can then be determined from Darcy’s law\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere the head gradient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dh/dx\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003edh/dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is simply \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltah/L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta h/L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Darcy’s law applies when a Reynolds number based on the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Kozeny-Carman equation provides one way to relate the hydraulic conductivity to the representative grain diameter:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K = (gd^2/(180nu))(n^3/(1-n)^2)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK = \\\\frac{g d^2}{180 \\\\nu}\\\\frac{n^3}{(1-n)^2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the acceleration of gravity and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the porosity of the soil \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes as input the flowrate, the head difference, porosity, and length and diameter of the cylinder holding the soil sample and returns the hydraulic conductivity and a flag indicating whether Darcy’s law is valid. Compute the conductivity using Darcy’s law regardless of its validity, and use \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 9.81 m/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 9.81\\\\rm\\\\,m/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-6} m^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 10^{-6}\\\\rm\\\\,m^2/s\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"333\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"494\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAApMAAAG8CAYAAACCBC6DAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAADNXSURBVHhe7d0LsBzneR7oPjKXFHUJAVCmLi6JAC82qVLEZQCt7Ei7XgKkyJIcyw6BMpmNtJEYAYSiuFIWywRA2Uk2FkEocmrtjZYEHW5iWxuCJhFVLLuKFAG67JR3nRJgLr1aURJJXCRHVmQRAK0LJYURFm+zf6AxmJkzp3EOMDPneaq6uqe7p6enZ+bMe77/756Zo8dUAADQwUuaMQAAzJkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdjVWY3L9/f7Vs2bJq3bp1zRwAAMbZGQmTCYgzMzMDhyNHjjRrvqj39rjKfm7YsOGU57dq1apq7969zVoAANPrjFYmly9fXq1cufL4cO2119ZDryVLljRT4+uee+6pli5dWt17773V4cOHjz+nSJBMoEzQBACYZjNHj2mmF8yKFSuq5557rtq3b9/QoJhm7hLKHn300Wbu+EmQ3LhxYz19//33VzfddFM9XTz22GPV2rVr65C5adOmauvWrc0SAIDpckYqkwmSCVajGvfK5JYtW+pxvyAZq1evPh6G77rrrnoMADCNzkiYvOCCC5qp0QzqM5mK33XXXXdK/8RUNNvSzJxlWbdXqoqzLdu8eXMz51RZpzRr9wuSRZanOhm5DwDANFrwMJlgmMpk+heOql9lMoFszZo11a5du+qQtn79+rq/ZYLjJZdcUu3YsaNZ88Ugl8fLst5gevDgwXrcr1JalpUQ2E9Zp18Y7ZX9jd27d9djAIBps+BhMsEwlcmEtw984AP1SSntoV/VrjcAJhSWPorpd/nggw9W27dvr5uSS1C7+eabT7pftp3HfPjhh5s5L8r9ItvM0JZAWk4SGmTPnj31+KqrrqrHoxhUaQUAmHRnrM9kPPTQQ/XZz+2hX9WutzKZ9SJ9FHMyT1v6J6ZKGe3gePHFF9fj++67rx5HmskTMMv62Z8iyw4cOFA3m8+Xt7zlLfV43PuAAgB0dUb7TCbI5eTx9pAqY6/eSt6hQ4fq8eWXX16Pe11zzTX1+IknnqjHcf3119dN3e3m7C996Uv1OGEyFch203g5YebGG2+sx/Phs5/9bD1WmQQAptVE9Jks1ctLL720HvcqYe3pp5+ux5EKZpqr283ZO3furOdluOyyy+pKZLlvab6+4YYb6vEgpXLZDq6DlP6V/a6lCQAwDc5on8lR9VbyyokszzzzTD0eJAGx7ZZbbqnHac7OGd8JleXEmbIsTeNlWU68ma1JujSft4PrICWglvsAAEybM9Zn8nQqk/m5wnjqqafqca9UHKP3pJi3vvWt9ThN2AmMCbRlnbIs933kkUfqZaM0cZfm8wTU3hN42nJiUc48j9mqnQAAk+qM9Zk8ncpkOWEmZ2z3XlMyJ84ktKUPZO91H9PUnWpjzgC/++6763kl2JVlCYUljI4S+nK/nCkeafJu97ssEiTbv5DjBBwAYFpNRJ/J9HHMzxJGrim5bt26OtAlzJUm8ITKfrI8QTahsbcZuzSLl2tXjhr68vOIpR9kAm65eHqGTJcgCQAw7Saiz2QkwOVEnATLBMNcLqj0c0zlsfeSQUVplo7ePpW5bzHXs7jTdJ4+kSVUZl8ypEKan1DMvuZxEzazb8OaxAEAJtXM0VyfhwWRUFx+pSdSXU0oBgCYFmekz+RilapsqpelojpqMzoAwKRQmQQAoDOVyTHzx597tnry4DebWwAA402YHDPf/y8/qO785Is/+wgAMO6EyTFzzdU/XP3NNy2r3r/tT5s5AADjS5gcQxvfvaJa9tfOre7+9ydfoB0AYNwIk2Pq4xvfVH3ms1+v/uDxv2zmAACMH2FyjN35gTdWH9/xdPWVrz/fzAEAGC/C5Bi78uJXVlve86PVz//6n1X/+dD3mrkAAONDmBxzb3vThdU73nJR9c8feKqZAwAwPoTJCZATcsIJOQDAuBEmJ8Q/+XtXOCEHABg7wuSEeMX551S//vNvrk/I8Qs5AMC4ECYnyOsvOr+67abL6l/I+dbzLzRzAQDOHmFywuQXct626lX1Gd4AAGebMDmBbr3+4voXcu555GAzBwDg7BAmJ1R+IeeR//A1J+QAAGeVMDnB8gs5v75zX3XkyJFmDgDAmSVMTrD8Qs7P33hJ9b6Pf9Ev5AAAZ4UwOeFyQk5+IefXdj7TzAEAOHOEySmQX8j5/gs/8As5AMAZJ0xOiZyQk1/I+ePPPdvMAQBYeMLkFLnnF/7b6s7f/lL1la8/38wBAFhYwuQUefWy8+pfyHFBcwDgTBEmp0xOyPmfblhSvX/bnzZzAAAWjjA5hda+/ceq1yx76Um/kJOLm398x9PNLQCA+TFz9Jhmminzsx/5j3Wz9//7n75V7fzMn1fnnvOS6ve3/USzFADg9AmTU+zJg988pf/kJ+9YVfetpJv3fHRv9bVD321uDZfq8G/fsbK5BQDTSTP3lMov4mz5jc83t074/MG/aqbo4v3vfEMzNbu5rAsAk0qYnELpH5kTcL71/AvNnBO+8OVvNVN0kROcXn/R+c2twVKVzLoAMO2EySmUELNh7WurV5x/TjPnhM9+4XAzRVfvecfrm6nB8pvpALAYCJNjZt26dc3U6fnptyyvPvUrb622/N0fPamSluZvTs9s1clUJd9yxdLmVn/z9ToDwNnmBJwxMzMzUy3ES5KK5AN/8J+qJ55+rvr1n39zdeXFr2yW0EW6Etz5yS81t06WAD9bE/dCvc4AcKYJk2NmoUNGzvBO8/co/f4YLv1Se3+6Msf1/7j9bzS3BhMmAZgWmrkXmVQkBcn50a/v5C3vuriZAoDFQZiEjnr7Tmb6bW+6sLkFAIuDMAmnoV2JVJUEYDESJuE0pBKZiqSqJACLlRNwxowTMybPH3/u2fp3z2e7HFCb1xmAaSFMjpmEjN1PHqpmnn+hOnr+OfU4uk4bz/94VMPuv+bKZfW42LRpU7V169Z6evPmzdVdd91VT8fZXAYAsxEmx0wJk0y3hMmF+uitWLGi2r9/f3MLABaWPpMwRbZt21YdOHCgHgPAmaAyOWZUJheHhapMLlu2rDp8+HC1dOnS6tAh7yMAFp7KJEyJVCMTJCNj1UkAzgSVyTGjMrk4LERlslQlC9VJAM4ElUmYAu2qZKE6CcCZoDI5ZlQmF4f5rkz2ViUL1UkAFpowOWaEycVhPsPk3r17q127dlVHjhyplixZUl8nMkOmM2/9+vX15YIAYCEIk2NGmFwcFvI6k3kP+VgDcKboMwkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAlMrP3791czMzPV5Ve+uZnTzbDtZNmRI0eaWyfbsWNHfb8y3HPPPc2S4csY3WOPPVbt3bu3udVfef2uu+66Zg5wJgmTQG3ZsmX1F/KTB7/ZzDlVWecrX3++mXP2LV26tDqn+i8DA9+o+m0nQeaSSy6pl/VuP8fpgx/8YD29du3aav369dXBgwfr2zk+g5YxN1u3bq0eeuih5tZgeY1+6JUXNbeAM0mYBI4HpXwhv/aC/1pP92qv88pzv1dPj4uXv/zl1ZIlS5pb3Zz/ksMDt7Ny5crqnPNe0dx60a7f/TfV4cOHq0996lPVgw8+WG3fvr0OPvH7/+4362X333//KcsYXcL8rl27qrvuumvWfxa+953D1St/6PvNLeBMEiaBOkBdcMEFdQD67ne/28w92SjrnC3PPvvsrGFjmO++5FXV8z9YWj337e+ftJ3Vq1dXR48erfbs2VO94vxzmrkv+upXv1qP+x0LVcj50Q7gn/70p5upU+X1O+9lp1aPgTNDmARqzz33XPW6C6vqpS99aTPnZN/5znfqdVKZHLTO2XLhhReeVmXypT/4Rl3ZuuDl5468nUOHDjVTp/rmNwd3FWA06QcZ6SIQv/Zrv1Z96/kX6ule5fU7nfcA0J0wCdTOe9krq68+29zo42Uve9nQymSaJFetWnX8hJMMH/nIR/pWi77yla9UmzdvPmnd3DfbGCQnsLTXz/2L73//5IriML3b+fCHP1zPT2Ur2ttJv8gfedXJJ3aU+99777317Ztvvvn4trZt21aPP/GJT5yyrGy333G6fesnTtn/clJJnmemy31WrFhxUp/VrtvbsGHD8fWzzT/6oz9q1jxVHiPrlPVf+9rX9n2MUfdlFGnavuWWW6pNmzbV/8DkJJzPPbGnWXqy888//6TK5FyeG3D6Zo6mDYexkT9+u58cXPFgOqy5clndfLoQ8h6a67bzJZwTTWLfvn19KzzD1knA2rhxYz2dE05yok76CiZ4pr9h+r2V9fPF/pM/+ZP19LXXXltvM9vLOpEm5dynLeGghLdUqtrrR9bP/WYz1+0kdGX/8pzyfCKhJtvIOMOP//iPV29+85vr55zQ+cADDxxflu1lyLI7fvmfVZ/8zX818DhdccUV1ZNPPlkvizx27rtmzZpq9+7dx49ltvvtb3+7DvfDjvso2+s9BrMd+97HSJ/Qm266qV42l32ZTfY1+/boo4/Wt3Ncs495v5R5bVn/TVdeUi2/YlX1F19+ZuTnBswPYXLMCJOLw7iFyUgF58CBA9Xy5cvrZuN+EmQiX9YlHOaL/O1vuaS68HV/vfqzP/uzel6RKlgqTO3QkW1k3sc+9rH6MYtcSieVvN7AkPVT7Yr24ybcXn311cf3+fHHH+8bgotUzRKkonc7l17+Y9Whb3z9lO187Wtfq974xjfWIaQ3xPR7bkW/ZdlWKnrZVm/wLevffffd1a233lrPK+Ev+3rZFX+9eurJk4/t6Wyv9xjPduz7Hd/8U5ATlrLNHMNUD0fdl9kkwL797W+v3vOe99S3B70Hii7PDZhHCZOMj2l6SY6F4nkfpsVCvs5dtv3tb3/76LEwUN93lOHYl3Zzz6NH169fX887FpyaOSfs27evXrZ27dpmzmBZ99zzzjtl3bL9Y4GkmXNC7pP9PhYkmjmDddlO5r/uwv77P+x591s223F62XknP07Zp9ynn67b63essizb6l027DHa5rovw2T97MfXnv1uM+dFx8Jg/Rh33HFHM+eELs8NmD/6TI6hVJYmfWhXnOZbms/6PeYkDZGKzbgo/SEj1Z1jfxv6DqlQ9Xrqz79Rj3fu3FlXlNpDKlLxuc99rj6Bpy3VrFSN2ut+/3vfq+e3HQsD9TiVpUFGOZu7nDAzbDvRu52c5f3sd37Q3Doh78NB+i0rjz/oOH3ney82xfYatL9dt3csdDVTJ+TzWl7b9vM/+JffqseXX355PR6kvEbD9iXVw9leo3jkkUeqn/qpn6pevey8Zs6L0n8yPvrRjw7czlyeGzCPjn1BMEbaFZ9JlrdWv8ri6Q5l25NuIV/nLsenVCYzDNu3fuuUitGwYVDFq9/QW8Eq2z8WjJo5JwyrSPXqsp3M71ctjWHVuH7L5nqcyj4NqujN9/Z6n39e48xLZba3Stiry3tgkGPBb+B7MPuTbfUe87k+N2B+qUyOmWF9vpge4/Y6t8/UHqbfOuW5pAp27G9K36FdIfvQhz5Un9CRatGxEHB8nS9/+ct1Zam3ejTqsZqPqlNvhTPXL3z5sWPTb9tzrUzO9TgVsz2v+dpeXtv288/+po9pzvD/8/2fq+cN0vW59cpJPOljOug1T6UzUtXvrXTHqM8NmF/CJHDSNSSHyTq9SnB66qmn6vFsvvjFL9bjcrmZ4oUXXryGYG+QmG37JdwOCiBFOYFj2H72Xq8y1y/ML+P02/aw60z2WzbX4xS55NGg5zXK8+n17WOvc7/tJWTlte19/qPu86tf/ep6PJd96ZV9yKWVfumXfqmZc6r169fX79GcdNXv7PC5PDdg/giTwJwqk73yBR+D+oAmNJazwKN8ofcGrlQr8/i91aNB2y9n8MYoVae1a9fW40HbKc+9dzvz1WdylOOUvqVt55577sDnNej5FL3bO+ecc+oqa7/nktckr20uOVRCfVxzzTX1uN9jtLf/vve9rx4P25f2e6Cfhx9+uK5K5r04SP75KNXJXMO0V79jVZ5bzPYeAboRJoH6S3a2yuSgdRLEcmHpVItyclEqZuXki9xOU2m7YlUuz5P11q1bVw8JX+Vknd7qUbZ/7bXXHt9+tpvrDub6jwkJWTZK1WmU7UTvdvLLKhe+7NQ/lXOtTI5ynHrDZAx6XtleAuqo20tIHPRcIq9tLvWT0Fkk3LWPWV6rftsf9NwSMsu6s1Ut77vvvuMBeZh3v/vd9Tjhsx18Y9CxynOL2d4jQEdHYQHkrdXvBJrTHcq2Gazr8cmJD7nv4SEn4AxbZ/fu3fVJDllehtze0+eEl5xAcSyUnrJetn8svDRrnexYWDlp28fCZz0/J13k/sP2u23YdnpP/viLv/iLej9vuOGGZs4JZTv9TsAZtmzU41ROKhl0PIpRt/f5A39Vb+9nfuZnmjkne81rXjPwON59990nvV45TuW4tc3lPdD2h3/4hyfdZ9QhxzlmO1bZ397XFpg/LlrOgkg14lj4a27Nn9VXLK237W07mOMDwJmkmRsAgM6ESQAAOhMmAQDoTJgEAKAzYRIAgM6ESQAAOhMmAQDoTJgEAKAzYRIAgM6ESQAAOhMmAQDoTJgEAKAzYRIAgM6ESQAAOhMmAQDoTJgEAKAzYRIAgM6ESQAAOhMmAQDoTJgEAKAzYRIAgM6ESQAAOhMmgYmxbt26ZopJ47WD6TVz9JhmGubNzMxMtfvJQ82t+bP6iqX1tr1tB5vm4+O1n1xeO5heKpMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQAd7N+/v5qZmamuu+66Zg4sTsIkADSOHDlSLVu2rA6Jg4as07ZkyZJmarwl/G7YsOGU57Nq1apq7969zVowd8IkADQSDC+44IJ6evny5dXKlStPGq699trq8OHD9fKlS5fWQ2+4HEf33HNPdckll1T33ntvfbs8n0iQTKBct25dfRvmSpgEYOJ95evPN1OnJ8Hwueeeq0Pi448/Xu3Zs+ek4dFHH61WrFhRr5tQmWHcK5MJkhs3bqyn77///uro0aPHn0+md+/eXS976KGHqs2bN9fTMBfCJAAT7/3b/rTa8hufP+1QWSqTpfo4zKRUJrds2VKPEyRvuummerpt9erVdbCMu+66ayIqrYwXYRKAqfDZLxw+Hiq7BqJ2ZXI2s1UmH3vssbr5eLb+iVkvy/qdyJOq4mzLhlUTs072MU3a/YJkUZrw4+GHH67HMCphEoCpklC57p/9f9XHdzw950rlXCqTMSh0JsStWbOmDo5r166t1q9fX4e10j8xy4tUBtM/c9euXaeE4DS1R/Zn0LJsf5CyzihnnN9yyy31+L777qvHMKqZo+kwAfMs/y3vfvJQc2v+rL5iab1tb9vBpvn4eO3Pnrv//f7q3/3RV5tbk+Vv/w+vqza++8V+jqPI2dwJbwlpmW67+uqrq1tvvbWeztnROakl6z344IP1vEilMUEy9u3bd7yPZbSXtauaOcs6J8f0NkWXfYk0RZeTZiLL8vilibqfhMiE1EFN3G0JuOlb2ft8YDbCJAtCmDx7hEnG0UK/dtd9+I+bqRNecf451fve/erqp9+yvJkzmoS/AwcONLdOlupiTsKJVAoT5hLwyrxIs3P6Hg4KcP2WlyDX3n6pYqaqmaC5adOmauvWrScta6/fz1zC5KjbhF6auQGYKgmRW/7uj1af+pW3zjlItvtMpiKYANwe2iEry9vVxaJUCi+//PJ63Oviiy+ux0888UQ9jhL0ShUyPvvZz9bjhMnsT/uxyyV+StP0fCiPN6gPKAwiTAIwFdoh8pqrf7iZOzdz6TOZgNevz+TTTz9djy+99NJ6PEi7eTqPm+blVAczxM6dO+uqZ7ZT+l+WfpOHDr3Y8nPDDTfU40FSaYx2cB3k4MGD9fiyyy6rxzAqYRKAifcPb/qR0wqRRbsyOZtSmexVwtgzzzxTjwdJc3Jb6UuZ6z2mP2bCY5qpEzTLspxpnWVZJ+FztipiqYKWgDtMCbdXXXVVPYZRCZMATLy5NmcPMpfKZCR09p5lXaqBTz31VD3uVS4SXoJekabubG/Hjh11YMw+lGBXluVM60ceeaSed+ONN9bjYa6//vr6fgmfpeLZT/pspm9lzFbthF5OwGFBOAHn7HECzvx6z0f3Vl879N3m1nCvWfbS6rfvOHG2LSdM0vuynMGdM7GHVf4S+NIMnarhXM/mzv36nYWdSmRCX9ZJAEygLPtQluW+CX7tZcOUM8Wj34k427Ztq0/uiVFO1IFeKpMAQ7z/nW9opmY3l3UZX3OpTEZvZTLXjSzhLGd75zevE+hSsSwhc/v27fW4V6qNeex+zdi5f5YlSI7SxF3ksbJ+3HzzzXWwz7YScjNd9jV6nwuMQpgEGCJ98FJxnE3WOd3+epx9pc/kXPQLdbmET5qzczHyBMNUBlNVzJnZqVamuthPaZaO3hNhUpksRmnibkvlNPtT+mlmX3L5o+xfLlOUZXncXJ4oITNVVxiVZm4WRP7b1cx9ZuRLIZWFVCzyZZCqRb6oMp15t91229Q0W52t1/4PHv/L6s5Pfqm51V/OIhYmB/O5HX8J0qmilr6T7etawjAqkzDhEhxzpmZCZfkSKNOpgOj/dPoSEl9/0fnNrVOpSjINUmHNtSxLRXXUZnQQJmEKDPot3TvvvLOZ4nS95x2vb6ZOdeu75+dMYhgH6fOZZu7bb7+9mQPDCZMwBfLHP5WEtjRzl98Q5vQNqk6mKvm2N13Y3AJYfIRJmBK91UlVhfnXrzqpKgksdsIkTIl2dTJVSWFy/vVWJzOtKgksdsIkTJFSndRXcuG0q5O/8K5zmymAxUuYhCmS6mSuI6ev5MIp1ckMb3rTm5q5AIuX60yyIFxncu42b95cXzy4aF/jzbITy977D26v/t4tH66Onn9O9f3vfa867wc/VM/P7SNff75a+sr/pp6eef6F6nsv+a+ntbzMz3TGxZcO/lU9/tGL/1o9Lsvb4yjTp7sfk7484zVXLnOdSZhSwiQLQphkISzU+2q+JeSee955zS1CmITppZkbYJ4JksBiIkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnc0cPaaZhnkzMzNT7X7yUHNr/qy+Ymm9bW/bxclrP7m8djC9hEkWhDDJQshrz+TyuYXpJEyyIIRJFkJe+z3bmxtMlFUb5h4mjxw5Ui1ZsqS5BYwrfSYBGDsJkldffXVzCxhnwiQAY2f79u3VgQMHqm3btjVzgHElTAIwVlKVLCFSmITxJ0wCMFZ27NhRHT58uJ7OWKCE8SZMAjA2UpXcsmVLc+tFwiSMN2ESgLGRvpKlKlmoTsJ4EyYBGAvtvpK9hEkYX64zyYJwnUkWgutMTq5RrjO5f//+6nd+53eOX19y06ZN9ZDpzFu7dm21cuXKZm1gXAiTLAhhkoUgTE6uLhct91mHyaCZGwCAzoRJAAA6EyYBAOhMmAQAoDNhEgCAzoRJAAA6EyZhDDzwwAPVnXfe2dwCgMkhTMIYeOaZZ6o77rijuQUAk0OYhDGwZcsWF2cGYCIJkwAAdCZMAgDQmTAJAEBnwiQAAJ0JkwAAdCZMAgDQmTAJAEBnwiQAAJ0JkwAAdCZMAgDQmTAJAEBnwiQAAJ0JkwAwIfbv31/NzMxU1113XTMHzj5hEoCptGzZsjp4JYBNk6VLlzZTp2dajw9nnjAJwNQ5cuRIPU7wmq/wdSZkv1N1TMjbu3dvM/dkhw8frpYsWdLc6mZSjw/jSZiERSRfIOVLpNBsxjRK2Lrgggvq4DVJ2iHxueeea6ZOKOGv93M8V5N6fBhPwiSMmQ0bNtThrgyrVq2qduzY0Szt7rHHHhv4RZR5p1vpgHGS93jCWN7bkyphr1fC33xVJif9+DA+hEkYI+nDdO+991bLly+v1q9fXw9p6rr55ptPO1CWL6Zsu98X0elWOmCctCtvo1Tf8s9W/nFr/yO3efPmUz4XpZKfZZlu//O3YsWKejuD9P6j2B7SMlCW79q1q16/vT/33HNPPS/aAXAuj9821+MDwwiTMCbyZZE/6mvXrq2/pLZv314PmXfttdc2a3W3cuXK6ujRowM726tMMm1K5W226ls+e2vWrKn/ccvnL//E5T533XVX/dnr94/W008/XX+m8s9f1s96Bw4cOL6dtty//KOY+2T9jIvcTjj9uZ/7ueOPHWVfMlx//fX1vMjfhD179hzfZpYPe/xBRj0+MBthEsbEzp076/GNN95Yj4uEvEcffbS66aabmjkLY9oqk199tplg0RqlT2D+udqyZUtdsc8/Ww8++GD9T9yhQ4eqTZs21cHs4YcfbtY+0WfxoYceOv4PWtbPZ/T++++v18n92tKqkP1IOE0IzPoZJyxGwuDq1avrIcsSCCPbye0MqTpGefwEx1Eff5BRjg+MQpiEMZEmrXjiiSfq8Sj6Nc3ldr/qY+Zl+bp165o5J5u2yuTv/V9V9dNbqurTx8YsPvnnqN8JLL0S8BKotm7d2sw5ISEvyj96kXUzJMglwLW99a1vrce9Ae3xxx+vx70tDCU0PvXUU/W4GPaPXZfH72fU4wOjECZhTJQqRb7cRukf2a9pLl9WuX3JJZec1MeqSEVj0BfVtFUmI9XJf/qbQuViVPoEzmbfvn31OIEx/Q/bQz6LkX/E2p+PfI5KpbAt81LhjPb6aY6ei9n+sZvt8Z999tlZP8+jHh8YhTAJYyKVhtI8lRNuUkVMqOz3pZCK5MaNG+vpfBmWprlUKnbv3l3Pz/J+9x30RTVtlck2oXLxyXt/Lmcrp9k6/Q97h6L9+RhW+SvVvvb6F198cT0uJ9YUpeJ5+eWX1+NitiA4TB7/wgsvnPXzPNfjA8MIkzBG0tSWMFiawxIq88e+t8pYmrfSR6q3QpF+VyWUtvt6FYO+qPrNz0kB7Sb0sz3Eqg2jDff+Xr36SdqhUp/K6ZYwNUqfwBK60ocx/Q/7DVlW5PM4LIDlMXsrgzl5JvfJ5zLdUFL1zDjhMq0K+UeybbYgGIM+x6XaOGh5MerxgVEIkzBmEgYTFlNxLF8yqTIm2BXly623olGUSki//peDvqj6zU+47ffleraG2LN9tGH9T9Wrn+Jv/c2quufDVfW6C5sZTK1R+gSWJujefouDJHwNCmAJcP0qg+mCkvtknM91Kp7pjpJm9LQq9JotCEa/z2t5/Bj0OW8b5fjAKIRJGFOpOCY0ljM088VTvmRyWZK49NJL6/EgZb22QV9Uo3yBTbKEyN+9s6r+8f8sSC4Wo/QJLCfZtP9Za0uXkt5L7aTK2O/zkgBXKpNt+RymL+O2bdvqs8TLP0e33357s8bJysl4wwLusMePUT7PoxwfGIUwCWMulwQqzWrPPPNMPb7sssvqcbk9SFmvbVDFYpRKxiQSIhenhKlSebv66qvrgNYeylUNSl/lXGonXSmyrJyAk9s5ya1fqBv0eSmVybb0x8z8fI7b3TbKfvRefaG0LKSbS/YjFzTvPSlv2OPHbJ/nUY8PjEKYhAnQW0HIH/sYVLkoJ+FcddVV9ThKIB1UsRilkjFJVv6YELmYJUyVz02CYqqL7aF9hnbpq5xgmWXl5JvcTutAv2u8Dvq89KsMJkymmTvVyVRCy1CW5eoL7V+uufXWW4/3e85+pG/lqCfp5PHnejZ3v+OT5z3bNqCYOVo6IsE8yn/du5881NyaP6uvePE/+2l72+aLLZWA22677ZQvrlQm2l9skS+eco269MFqn4RTlrXXjzxGvrTS4b/dTyvzs27u06//1jjJa5/+kEyenBQ118/tNHzWy+ex93NX5OS69IlON5ZBzd4w7lQmYUwkFJZLAiUcpvqY6QTJyKV/ivYZ2wmICaLlDNESMtvrF6U62Y8qBMy/Uv0bdK3JgwcP1uPStA2TSJiEMZDwmKalNH0l8JVmp8i8VGdSPWxrN82Va+SVbbTPBG8bdhmQ2fpYAXOXk+Tymc7nM/8clv6Y+QcwATMVyXxWF/rnUmEhaeZmQeSPpmZu5ltee83ck2mxNnNHqv45kzuX/Cr/JEZCZLq23HDDDf6ZY6IJkywIYZKFIExOrsUcJmHaaeYGAKAzYRIAgM6ESQAAOhMmAQDoTJgEAKAzYRIAgM6ESQAAOhMmAQDoTJgEAKAzYRIAgM6ESQAAOhMmAQDoTJgEAKAzYRIAgM6ESQAAOhMmAQDoTJgEAKAzYRIAgM6ESQAAOhMmAQDoTJgEAKAzYRIAgM6ESQDGwt69e6tVq1ZV1113XT2O9u0dO3bU84DxMnP0mGYa5s3MzEy1+8lDza35s/qKpfW2vW0Xp7z2e7Y3N5goqzZUI31uV6xYUR04cKC5dcLSpUurQ4fm/28KcPpUJgEYG/fdd18zdbI777yzmQLGjTAJwNhYvXp1tXz58ubWi1KVvPXWW5tbwLgRJgEYK73Vydtvv72ZAsaRMAnAWGlXJ1OVFCZhvAmTAIydUp3UVxLGn7O5WRDO5mYh5LVncs31c5tLAj366KPNLWBcCZMsCGGShbBQ76vF6lvffK768r6nqjde9eI1HRfSmiuX+dzClBImWRDCJAtBmJx/7/7vVtShMn0UV7zxb1SvX3F59Zb/fk31mh95Q7XsVRc1a50+YRKmlzDJghAmWQjC5Pzb+Vt3V//71juaWyc797zzqgf/wxeqV7zygmZOd8IkTC8n4AAsYmvXfWBgWPz7v/DL8xIkgekmTAIsYkfPP6d674d+sbl1wtvWvKu68b0bm1sAgwmTAItcQmNvBfLwN/5zdegbX29uAQwmTAJwUnXyf9vxmep/fOfPVu9751urRz71b5u5AP0JkwAcr05+cPNH60sF5fbW33iw+o1//kvV//pPP1zNPP9CsybAyYRJAGoJj+1+kgmVO3d/sTr0l1+v/s7fWlVfkxKglzAJQK3fxctzgs7/8i9/u/rb791Q/cOb3qHZGziFMAnArFKxTF/K3/rEx6pf/tB7NHsDxwmTAIzkDZdcXv3bT++pL2au2RsohEkARpZm74/86r+q3vsPfrF637uc7Q0IkwB0cP3P/p3qX//+f6ybvX/lw3+//n1vYHESJgHoJM3e/+eu/6c697yXVht+9ierzz+xp1kCLCbCJACn5Rfv/Jd1s/cvb/y56tM7/nUzF1gshEkATluavf/FJx+ufu+Bf1Pd8b53avaGRUSYBGBepNl7+6f+sPrh5VfWP8Wo2RsWB2ESgHn1j/7xr1b/6J/8at3svfO37m7mAtNKmARg3r1tzbuqe3/3/64+86kd9UXOgeklTAKwIJa96qK62fs1P/KG+vaf/Mmf1GNgugiTACyoD27+aD3+iZ/4iWrbtm31NDA9hEkAzojDhw9XDz74YLVq1arqyJEjzVxg0gmTAJwRS5Ysqfbs2VNdd9111SWXXFI99thjzRJgkgmTAJxRW7durR599NFq7dq11ebNm5u5wKQSJgE441auXFnt27evDpWavWGyCZMAnBWl2XvdunV1s/eOHTuaJcAkESYBOKtuv/32ukL5wQ9+ULM3TCBhEoCzrjR7p1KZZu/9+/c3S4BxJ0wCMBbS7J0KZZq9Ey6d7Q2TQZgEYKyUZu+c7b1hwwYn58CYEyYBGDul2fvQoUPVtddeq9kbxpgwCcBYSrN3fjGnNHs72xvGkzAJwFgrzd4503vv3r3NXGBcCJMAjL1UJtPUnTFnV16HSenHmn2dmZmpf8KThSNMAjBxEhJyck6CQhlWrFhRN4mrXi6cnGGfC8wvXbp0ok6MSpeJxWTbtm3HPxf33HNPM3fhCJMATJR8OSbQ3HvvvfXtVCszHDhwoHrooYdcp/I0pYqXENLv0kwXXHBBPV6+fHk9HncJvZMWfOfDrl27mqmq2rlzZzO1cIRJACZGAs7GjRvr6fvvv786evRofaHzDJnOGeC5pFACBHPXDl0lOLYltOc4J6xPQrXv8OHD9bCYKpN5bVKdz1UQEvoTLBc6TAuTAEyMBMVIkLzpppvq6bY0decM8MXWrDlfctym7dgttsrkI488UgfoW2655fhn5OGHH67HC0WYBGAipCqZL8lUx/oFyX7KCRg5EzzTaQIv/SvbASOXHSrNu2XIuoP6X2b9sq0ypL9m7zZnW2eQUe/bb730lxv0GFk/z72sm+myfumDmq4C0d5u7hfleGZf+sl6ox7H3tem3Qc2+zXo2Peum2HQYxSzBeS5bLN3v8tx6veeah/DDINemy7PaZDSrH3DDTcc/+droX/zfuZo6tUwz/JB2P3koebW/Fl9xdJ62962i9NCva9YeGuuXHban9t8Id51113Vpk2bqq1btzZzh8uXdMLnmjVrjoek3M6XdGn+TB/M0nSeL99ly5bVzeWl39ndd99d3XrrrfV05L75oo/2+tle7pNtjrLOIIPu+/TTT9fPp+i336UfaZo3H3/88ZMepxy/6F0/ld6LLrqoeuCBB+rKbvazrBPr16+vj1s5nhlyuaa2uR7H9muze/fu+jHzOO37ZP7q1avr6cixSVjNumnGTd/ZYesP29+i6zbn+p4a9NrM9fGHyT9c2a88Zl7HSPDPfs5lO3MlTLIghEkWgjA5ueYjTOYLN1+wg5q4+8kXf76cI1/46VvZVr58I1/gqS4V7WUlJKSqlC/n7Efv+m1lX4et08+o2y/Pq99zKqGxfZzKc0mQyX3bsiyPUx6r7Hu2m+23tYNUCSsx1+MY7demHX6ihLGEq3YIzLYSSj/2sY+d9BiD1i+P0bv9tq7bjH7Hvyyfy2szl8cfJtXNhNb2a1e2k8fNNVsXgmZuAKZWOZs3EpB6lS/pfLm3v8gjVZxUQaP0OUsQKmEoP/U4m1HWaRt1+6XKddttt9XjtlT38pzvu+++Zs6J59mvopvn2X7u5fGH6W2qHfU4lubyKK9NAm5v0EvQyrKEz/ZjZVtZt/cxyvq9+14eo1/TctF1mxn6vafm+trM9fGH+cxnPlMfz/Y/AWU7CZXDjsPpECYBmFoJIxlSmer3pVwqR5dffnk97nXxxRfX4yeeeKIeR6o8kaboVIJSiepVmpOHrTPIKNsv+53+cVmnPeSxy/MuZnuebaMEjt5jOepxfO655+pxlH0sTfqD9Hvdso8JpuU5f+ADH6i31bvv5TFGCWRz3WaqrcPeU6O+NsWojz9IKpy5PFa7K0FkHxMus2yhTsQRJgGYCCV0tIPdKFKVGST9EOPSSy+tx4OUgBCpJKX/WZofU4VKk2aqSu3Qly/vfuukf9xsRtl+kb5wWad3iGefffZ4EBn1ecaowatt1O33VvIGvTbZh3Jpot7HStDK/W6++ebjz7f0Xey378Ne/6LLNgeFvLL+qK9NzPXx+ynV4VQ5SyBNl4mMi3ZFdD4JkwBMhFLdGrX/WNGvClRcdtll9fiZZ56px4Mk2LUl8GU/su004abqk9DXDov91kkgHjVQzrb9SMhNX9R+Q8JnCSKjPs8YFJLaegNO1+M47LUpVcz2YyUYJWglrKdvZnmumR4W8IY9p67bHBTyyvqjvjZdH78t2yvV8LxH2oE04xLiMx5le3MlTAIwEa6//vr6yzVflun/NYqsn2GQUu186qmn6nGvVAijBNleCQTph5gTKKLfdkZZZ5BB951tv3vNZf1BIamtN5B0OY7ltRkUblKZ7K3gJWDF9u3bT+ljGIP2fdhz6rrNQfs919em6+O35dqSkUDZDq3tIV09YiGauoVJACZCvmjL9Q3Tr7B9MkeRCk3ORi4VvFS+hlW/sm6kebG3GTl90FLZScUoJzEUuU/vugcPHmymXjTKOv0koIxy3xIMPv7xj9fjXtn39jZKiOu3ftZtVzzL5YCGhaHegNPlOJbXpl9YynFIZfLCCy8cKUyVvoj9DHv9hxm2zRi0X+VYjPraDFIef1BobSvXluyt/LaVM+oXoqlbmARgYqR6U84MTnDJ5aJSCcqQ6TQF9+uXN+gLOc3JZXu5b+ljlu2VL988ZluCV9bNOmXdfPEnLOVC0aOu008CyqD75izdEsaynex31i3HIOtm/3M7+16qVZGTMhI0yvrleZZ128Hxmmuuqcc5vlkn4ag3uPcezy7HMQZVjXMcSmWyLb/qEtluHiND+xqOvfs1W/Uz5rrNYrb31KivTe/jl9elPP5sYTrBNI/VexZ3r7wHsk4+H1l/PgmTAEyUNPuWE1QiX4zlyzSXXkmzYe+X6rAv5LK93L/0Mcv2Bm2rLMu4vW76yJXHyf1mW2eQQfftrWa197usm/3Pcck2es/qTR/MNJcnXJXnmfsmqLYrhpkuwTDrJHz0nqXd7zmU/cnxGuU4xrDKX6lMtmXfcvmh8hwyZLs5rnkuvfuV7WcYdsznus1i2Dbn8tr0Pn7WzXp5/MybTfn5xN7Xu593vOMd9TiPM59mjqYhHeZZ/qty0XLm20K9r1h483HRcmA8qUwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMMlEmpmZMSzCAYDxM3P0mGYa5k2++Hc/eai5BSx2a65cVvm6gemkMgkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0JkwCANCZMAkAQGfCJAAAnQmTAAB0NnP0mGYa5s3MzEzlrcVCeOwLh5spJsmaK5f5mwBTSphkQSRMArT5uoHpJEwCANCZPpMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHQmTAIA0JkwCQBAZ8IkAACdCZMAAHRUVf8/76ZBHolDVTQAAAAASUVORK5CYII=\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":57497,"title":"Locate image wells","description":"A mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also used in fluid mechanics, electrodynamics, and other fields. The method involves reflecting each well about the boundary as shown below: the image well lies on a line running through the real well and perpendicular to the boundary, and the distances between the wells and the boundary are equal. \r\nIf a well is pumping water near an impermeable soil unit, then the image well pumps in the same sense (i.e., either both extract water or both inject water): the components of the water velocity perpendicular to the boundary cancel each other and satisfy the condition of no flow across the boundary. If the well is pumping near a river, then the image well pumps in the opposite sense (i.e., one well extracts and the other injects). At the boundary, the water injected by one well replaces the water extracted by the other, and the head, which is related to the water level, is constant on the boundary.\r\nWrite a function that takes coordinates of the real wells and coordinates of two points on the boundary and returns the coordinates of the image wells. For this problem you do not have to indicate the sense of the pumping. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 664.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 332.35px; transform-origin: 407px 332.35px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 369.933px 8px; transform-origin: 369.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also used in fluid mechanics, electrodynamics, and other fields. The method involves reflecting each well about the boundary as shown below: the image well lies on a line running through the real well and perpendicular to the boundary, and the distances between the wells and the boundary are equal. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 370.7px 8px; transform-origin: 370.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf a well is pumping water near an impermeable soil unit, then the image well pumps in the same sense (i.e., either both extract water or both inject water): the components of the water velocity perpendicular to the boundary cancel each other and satisfy the condition of no flow across the boundary. If the well is pumping near a river, then the image well pumps in the opposite sense (i.e., one well extracts and the other injects). At the boundary, the water injected by one well replaces the water extracted by the other, and the head, which is related to the water level, is constant on the boundary.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 365.892px 8px; transform-origin: 365.892px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes coordinates of the real wells and coordinates of two points on the boundary and returns the coordinates of the image wells. For this problem you do not have to indicate the sense of the pumping. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 406.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 203.35px; text-align: left; transform-origin: 384px 203.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 610px;height: 401px\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAy0AAAIXCAYAAACRhrF5AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAFTNSURBVHhe7d3Pj1Rl2j/+4rs3/oqJOx2JcYkI8wk7E8Agu8FgBDazAcVZj6jEpcGBcf3ggBs3gIGoO8aIJO4mMyjDcjKBB3cmRn2Mf4Dffh/OjYeiqrq6u+rUqarXKynq9Onq7qpq+pxz3dd13femX1f0AAAAOur/q+8BAAA6SdACAAB0mqAFAADoNEELAADQaYIWAACg0wQtAABApwlaAACAThO0AAAAnSZoAQAAOk3QAgAAdJqgBQAA6DRBCwAA0GmCFgAAoNMELQAAQKcJWgAAgE4TtAAAAJ0maAEAADpN0AIAAHSaoAUAAOg0QQsAANBpghYAAKDTBC0AAECnCVoAAIBOE7QAAACdJmgBAAA6TdACAAB0mqAFAADoNEELANCqv//9773/+7//qz8CWJ2gBQBoTYKVvXv39m7fvl3vAVjdpl9X1NsAAFN18ODB3pNPPtl777336j0AqxO0AACtSFnYoUOHej/++GO9B2A8ysMAgFa8/vrrvdOnT9cfAYxP0AIATN1f/vKX3ubNm3uvvPJKvQdgfMrDAICpSvP9ww8/3Lt161bvd7/7Xb0XYHwyLQDAVP30009VWZiABVgvmRYAAKDTZFoAAIBOE7QAAFPx9ttv91599dX6I4D1Ux4GAEyc5ntgkgQtAMDEWfkemCRBCwAwUVa+ByZNTwsAMFFZ+f7cuXP1RwAbJ2gBACYmK9/v2LGj9+KLL9Z7ADZOeRgAMDGPPPJI1Xz/0EMP1XsANk7QAgAAdJryMAAAoNMELQDAhmRNliwkmXuAaRC0AAAb8sEHH/T+9a9/6WMBpkZPCwCwbla+B9ogaAEA1s3K90AbBC0AwLpY+R5oi54WAGBdrHwPtEXQAgCsWVa+37x5s5XvgVYIWgCANUvT/dmzZ+uPAKZLTwsAANBpMi0AwNj+93//t94CaI+gBQAY286dO6tZwwDaJGgBAMaS5vsdO3Zovgdap6cFAFiVle+BWRK0AACrysr3W7Zs6b311lv1HoD2CFoAgJH+/e9/V70sVr4HZkVPCwAw0r59+6x8D8yUoAUAGCpZFs33wKwpDwMAADpNpgUAAOg0QQsAcJ8sIPn222/XHwHMlqAFALjPO++803v22WfrjwBmS9ACANwjK9/HK6+8Ut0DzJpGfADgrqx8/9RTT/W+/vprK98DnSFoAQDuysr3DzzwQO/MmTP1HoDZE7QAABUr3wNdpacFAKhk5fvTp0/XHwF0h0wLAFD5+OOPNd8DnSRoAQAAOk15GAAsufSyAHSZoAUAllhWvt+6dWv9EUA3CVoAYIll5fsLFy7UHwF0k6AFAJZUVr5/6KGHNN8DnacRHwCWkJXvgXki0wIAS+j111/vvfbaawIWYC7ItADAkrHyPTBvZFoAYMlkEclz587VHwF0n0wLAADQaTItAABApwlaAGBJvPrqq1VpGMC8UR4GAEsgK98fOnRI8z0wl2RaAGAJZOX706dP1x8BzBdBCwAsuKx8H1a+ZxyZEjuZuf/93/+t9/xm1OdgmpSHAcACs/I9a7V9+/bq/8u2bdt6165dq/feMepzME0yLQCwwLLy/f79+9cVsKRpPxepuRlZXx4PPfTQPfdNoz4H0yRoAYAFlVKezz//vHfmzJl6z9okUMmoem7/+c9/6r0si2Tphhn1OZgGQQsALKhnn322d/Xq1fqjtfv555/rrV7v8ccfr7dYdCUgGZRNGfU5mKa5DVoyerRp06bqJtpvT+b4z3ueewC6L4HLJHz33Xf1FouuBCSDrq9GfQ6maW6Dlj//+c/V/ZNPPinab1GaOePs2bPVPQDdk7Iui0iyXjItdNFczh6WP5iHH3642n7rrbd67733XrVNO5Jpicz3f/To0WobgO44ePBgNai30fNjpkp+++23q+3Lly/3XnzxxWq7SGCUyodMpVwyOvn4f/7nf3q//PJL9RySme+fBCBT5n7yySfVY7Zs2VJ933EyQvm6r776qnf79u3e999/3/v9739f7X/zzTdXvYgugdyNGzeqj/Pc+uU5DJsWOq/rH//4R++bb765+7zz+P73ZDW5hjl58mS1Pep5571PeV7zve1X3o8nnnhi6Pl4Pc979+7dvS+//LK3a9eu3pUrV+q9d5TPmT2M1iVomTdHjhxJoFXdfvrpp3ovbVk5iFXv/coBq94DQFesBBe/Pvzww/VHG/PWW2/dPd9ev3693vubnAfyuTzu1q1bdz/uv50+fbp6fM7Z5Rwy7DGDXLhwoXpNg74ut3wujxkkP7N53bDarV++/sCBAwMfm1tez1quRfL7KV+b922QvNfN7z/MSuBVPWbQ+Xgjz7v8Hgf97PL7G/W8YBrmsjzsiy++qO5X/qikJ2dg5eBf3Wc2GVNgAnRLVr4/d+5c/dHkDOppKefgZD5yTs55IRmMnCfycZFpl5MV2Lp1azVKn2qJPGblwrd+xG+PGWTl4ru3coF99+uSQUqlRTkf5XN5zKBzUrIapaQ5j0mVQG7Nn53nnI/L92vKc14JiKrtfL58fb5X5PWkdHrcHo9kOPI6onzffs33Id9/0PfOvrzv8cILL1T3TRt53uX3Ouo1jft6YWLq4GVuNEcfVg5a9V7aVn4Hw0aJAGhfzouTHAFvZlqSIehXRuSHnROaX19uKxfQ9WfvaGYehj337B+WScn+Yd87mYRhn4t833wumZpBms9/UKZpJQi4+/lsjyvPpXxdMlT9+t/XQe9982f3f4+NPu/y8wf9PkZ9DqZp7oKW5h/isLQm03egkXIGYPZyTszF96CL4PVKEFSO9YMunMtFf27DBhLznMpjBgUOUS6EhwUPqyk/o/9CuhnQDHpfmp/vf32rBTzFep57M1AbFDSUz5XboJ9fzsP9P3cSz7v8XgcFJuVz+Xpo09yVh61WGpaGwazcm0axYanLpF27vsJvnnteQ57jBx98UO8dLE12bb+e559/vt668/MBmK1jx471XnvttXWtfD/Mauu0lPNszslvvfVWtd2vzDq5cnE8dJHL5557rrpfueCu7teqfH2/5jkxP7/f//t//6/eulPi1pRFOYsyGcEgpTRrLc+92QSfRvqmUhqW57sSdFTb5dqnyPteSr/yO28q+2O9z3uc0i/l+bRt7oKWW7duVfdPP/10dd8vM2Kkpja1mvv376/33it1s3lMvtckD+6TlINBZvrI8zx+/Hi9d7DU6+ZxubWlOetKZiUBYPbS6zEto3paRl3AloDiwQcfrO4HKYFNjDv4lgvrDJrlIr9cZPdfbDdn3WpezBf//Oc/661eb8eOHfXWHc3n8Z///Kf6Of23/kG7tQzild6S/udVgpi8by+99FK1nYCq+XyaAVZzEDGa78F6n3f5fY4KXkZ9DqZhroKW/MGWEYFBUxVGpgbcVTfXJXDJH2dTRh3KH/s0GhUnqYye5DX3v46mcsDL624rCGuOuH377bf1FgCzMiyLMU3jXLhmmt3VNDM6w+QaINMnP/LII9XU+8lEpNl87969dwft+oOnZiBy6dKleuuOPPeSHcr36r+uKIOkkZ8x6Jafn6mJ16MZbDTP8eWcnoHXZkamue5OppSOPO/+qYsn+bwHBaPldz4qUIVpmKugpTkikjnJh2kemA4dOnT3DywHvPJHmpTrqDnKu6C56vxHH31Ub92reaAbllmahubBvT9tDcBiaGZHBpWHjTMi/8ADD9Rb65cy6WRjMgtYBvJSjpaBunJfSr/6n0eeXymxykBmAp6sYZNbvl8ZxDx9+vR9F+HNYCsZrAQ4o+5zG7aeyiAl0xJZs6Yoz2nPnj3VfRmIbV7bpBIjBp33J/m8B/1ex/mdw1TUvS1zoTnbxYUhs4gUK3+Edx+b7UjTWD5eObjNTRN/ec65DTLLhvjyc1cCmHoPAG1Kc3mOwdM6p61c2N491o9qxM/9MOU8Nepc0Txn5zU1NWcNzTmx//Mx7HnkseVr8/PLdnPfoNcVzdc+rfe3nOPLe1Ouc5rvVfO9ieZrGnQtNInnXZ7XoN/rOL9zmIa5yrQ0y5BG1cZGRhBW/uiq7ZSEJcNS0scnTpyYm7Tm4cOH6607I039Shq5OWLTlpWDanU/TlofgMnLKHkaqmd9Thsn0zLqXDHqc82KgosXL44sg+5/Hnl/ItmWVFusBEDVeTO3bGffsKqLZkVHsjvTUDIlpWelZFCaZW3Nle5TItacIGDQ6v3NrMl6n/c4/59kWmjb3DXiF4PS1P0+/PDDeuu3GTR27dp1zwGg65rBSH89brO+9Q9/+EO91Z5HH320up/WwRxg2eS4ntKlMiNkuWVfPte8UEzzdM4LbfWyjJo9bNRFbilXWm2wcZgbN27UW72hAcvNmzer+/7ncavu7yj3uaDPhX5uq5VylfKsKMHPpDWDjgQj5TzfPKfnNZVBwpS4lUb9XM8M0pwRbb3Pe1RAMs7vHKZhroKW5gFv0Cwm/XJAKrWsxfvvv19vzYccFErgkoNV80Dy2WefVfep5R002jJtP/zwQ70FwEakGiDN5TneJwtQZoQst+zL53K8zyBczgX79u2rKgemabXz7jgXruP0tIwKaMoFewyqOEhA15xNq+n3v/99dZ/zZwKe9IqW6ovc5/sNm+gmjy/n3/TSjFp+IFmStcwcVuRnlNeXmUDLIGAz8IjyPNJDWios+q9virU+79z6ld/roOBl1OdgquoysbnQrOsctBhTv9Rypn+lfE1uK3/I9WfvVepIx/m+bRu2CFXZt3Lgqvfc0dZrKe9ts/YWYNkM6rEYV/o1+s9T497SdzBtq/W0jOp9KHLezWNGnSuaP6f//Wz2tOS9yjkvzyVfk+9Z9ud+0PPIvvL1w275+pVgoP6K3+Q6ovm4fK/83Dw21yTN5zDs+mI1zdee26Dfa/M6oNzy3IbZ6PMu79mo93PQ52Ca5irT0hzRGSfCz0JbZdRi5Y+rus8Ixajpg1cOXPXWeDJCkdGx3AaNVkxC6m3L8yolb83SsD/96U/11r2m/VrKewuwrDJiX/on1yrH8Z07d677WJoMzKhR9Emb1exhqZooZU55r5I9yLS9ee+TYVm5AK9m/4r+55FzWSkdy3VAHpvvlfvcVi7cq8/l+yY70X99kNe3cq109xoiGZv83Dy2ZGxKlqd/vZRx9VdKDFoos3kdEPk/17wm6jep5z3q9yrTQts2JXKptzsvB5McqCJp0VF1vM3H5gCVPpbyB5/7H3/8sdoucuDPopMJasYttSpfU0zzrSwHmUhtbl5/DkI54PYHGG28lvzMshhYDopXrlyptgGWQc4xOWbmwm89x8CUEmWtjEm4fPny0GbyjcqxPufalG/lPNp/oZzAK49JSdKw803eq/RhpLF9WE9p3o98r/ycBBODlOfyr3/9q/fYY4/1tmzZUv3M/OzyudKzUuRz+R3lIv/atWv13ns1rxdyUX/+/Plqu1+eYx6bHpvvv/++2pfys1z0b/T9L+f3TEjw5ptvDgxIynudx6TMLa9tHOt53vlZ+br+9zPG+Z3DVCRomRc/NdKdg9KZTSXtmfsiKdHy9SsHxXrvHaWkKqnTcSQ9Xb5Pnku2R5UI5HNJ7ybNvR7N156f2dzuN+3XEs1U9aDnALCIcixuHoNzWwla6s+Or5yjJnXL8+JezbKynLNGKb+PQaVZQDfMbXnYf//733rrfslKlLTnp59+Wt3Hyonmbio4oxoZRRgkWYdSJpVb/+OSEs0MH8lkJIuTkYtkb0aVYyUzUlahXU9KNa+9lCCUEZloLkA5yDReSzSnp1xtBhaARZAR5mSYm8fgKFnnceXryzlqUlIOzb3GmbAnch4sv49MHw1009xNeVzqM1PLO0guyssJJWne/gvqUvcamXmlKBfp+ZpcxK8EdNUtwUYCjaRWiwQQKS8radGkqVMPO0qZez1We+wwb7zxRr11R4KYQenhab+WSGq4eOaZZ+otgMWU42aOqYOOj2X693FlYG3S0ufRPC5z71onKeVrnvuKXDM0V5VX7gTdNXdBy+7du+utOwebfiUQyYV7M0ApUr9ZAp+MrCQTEeVElECgWZucGtl8r48++qjec79SIzpKmc4x32vcOtR+/QfT5sKTTdN+LVHmks/3k2kBFl3OHeknLOePpuYihKsp55xpSCaI32RQrlwH5HyfaodUHOQcnLVvsp2BvPSHRioOnM+gu+YuaGk28WVO834pB8sqt8nENMvJmnLBncekeTEjZ0392YzIAlM5mA0r60p2YpRm6rk5orMezefb/9z7TeO1REbzSqbrtddeq+4BFl0udjMQlDLjDNisRzPrPmllMInf5Joh5/tUGhQ5H5dzWH6PKR3PYJ8sC3Tb3AUtzd6OrB7bL6MkuY3KZuR75DEZORsW2DStNl3jatmJUmucg2OyHeuVQCMBR2S0b5zn3m+jryWao3kO8sAySaZk8+bNVVltLnaj9EqOY5pBiwV/B8v5PufeUiqdjFlu2c7vMf2c6zmfAu2au6AlSrYiIyODalQnbbV65VHZiQQaqTWOc+fOVffrVQKWaI4arcVGXkvxt7/9rbrPiVoqHVgmx48f773//vvVdi52c/G7lr6+aQYWJaPPaBnUXG+ZNjA7cxm0ZHSrpOY/+eST6n6aMid8sjvDRmJGZSdKliVBxkbncW+Ww603w7GR1xIpDSsnxkE9QwCLKrM1piS2OViz1gvg5syLAIxvLoOWOHHiRHU/qRreEgSVrEiRi/Sk80eljkdlJzIKl96TU6dO1XvWJ5MOlGBhtV6Wab2WKOVt+RkbDcKSJTt48GDVEJkJFjSRAl2VY3DON8mubMRap0dei3LsB1hEcxu0pLkuGZdkMoY1la9FmXEr3ysX0kUyJPlcfwDQNCo7kabNrK670XrZf/zjH1UfS24lYBtmWq8lMsKY932jpW6ZljozuaTkLQ2Rmb0lwdg0pgIF2KjM1jiJ7PJGzwWjTDMgApi5X6msXDzfXVV45eL+7iq6ZV+/hx9++J7HNG8rgUX9qNno+mtprlI86JbnD9AVK8HKxFZKz/cadNybxO2tt96qfwrA4tmUf1YOdtCaZH+akwr0S8/NtWvX6o8AZicZ62QwkhGeRPN2vt+0yrgyta/JUYBFNbflYcyv//73v/XWYOkDAuiCTICSGSsnNdtUysNW60tcjwz2CFiARSbTQuseeeSRu303w/hvCcxamu937txZreUxSdPItmSwxzS+wCKTaaF1WZV/NZnpDGCWJtV83y/ZllElsmuVGc0ELMCiE7TQuj/84Q/11nCpIc9MYhmRBGhbVr6P9a6JtZp837Ki/kak1GwS32deZObJTJNffj+LLIN3ZUkAQHkYM5KDcKY5Xk1KKDLFc6a4BmjDpJvvR8n6VOvtcUmGZZkClmZZXTJV0woou6SUUyfj5zzIspNpYSayfk1OtuUElPusI5O67DSUFjlYv/7669Vok5IxoA1Z/ysr37dRcpUL7xz3nnzyyXrP6nKMzExhyxSwRCZFiJwvliFgiUwCEZNaSBvmmUwLnZTRxwQr/Q37CWxOnTo11QXagOU1reb71WRg5o033qh+frIIt2/frj9zR4KaF154offSSy/1XnzxxXrvcilZh5wHzpw5U+9dbM3skskWWHaCFjotfS2pYW7KATyp8mUZaQPaU4IHx5duaZbRLdvFe/5PplQxmbWUBMKyUh5Gp+UAnRPUrl276j13SsZy8sqBPKOSAJOQ5u5kcQUs3VN6IDNotWzZhlIi9re//a26h2UlaKHzcoJKD0xKJkqaPDLytHXrVrOMARuWY8jx48d7Z8+erfe049VXX3X8GkPp6SgX8MukLBqaAbtknGBZCVqYGxn9TJ15f/NpyscSzDiYA+vVZvN9kczON998o0dvFcmol/7G5557rrpvStCX80AGsP7+97/Xe++X9zuPmda5Is+zlDSvFojmOYz7XJo9TOPMugkLKz0tMG9u3br167Zt29KPdc9t165dv16/fr1+FMDqcsx4+OGH64/asXIRXv3MHMsY7fTp03eP8ZcvX673/ibvYd7LfD73eW/75XdcvseRI0fqvZP11ltv3f0ZFy5cqPfeL8+vPO7AgQP13tHK68t5D5aVTAtzKaOh165du69kLKNQSsaAtZjWyvejJLOTUqdl689Yj2Sjimeeeabe+k3ew/L7S0YmM0/227dvX3Wf88W0Zh5LqV/x2Wef1Vv3y3mrGGex5SgZppRFw7IStDDXSslYpsBsSno+i8MpGQNGmUXzfcqI0qOxLNP2btQXX3xRb90JUAbJ76+s8ZWgoFkmlkGsMoX0uXPnqvtpyHNrPodhA2elPycB1Lj/7x577LF6685K+bCMBC0shJz8M8tYOWFERtwyy1hW3zfLGNAvF5WzaL6fRWZnETSz6oNcvHix3upV2Zb8fnMr0+bnfDDtNW4yXXbRzKg0lb6UtUwq0Fx89D//+U+9BctF0MLCKCVjuRhQMgasZlbN96ZVXpuSJUn2fJT8HstELfmaBA0lMMg5oY1Asfl7HbSKfX7/RRYKHdcTTzxRb/V6P//8c70Fy0XQwsI5evTo0FnGlIwBUUq02l6sb8eOHa1ndhbF008/XW8Nl99nyUok21KyGidOnGhtlrZSrpyf3T9QVgKZPMe1ZH2aA3GpIoBlJGhhYeXkdf36dSVjwH3SmD3N/oZhsuZGm5mdRfL999/XW6P1Z1RyDshgVluaGZRmZiUBTAmich4C1kbQwkLLBYJZxoCmXEhu3rx56v0NTTnOONZszLjvXyknK9Lv2OZ7n/9X5XzTLBFr9rg0Zxobh+wKCFpYEqkzzolLyRgst8y8NIvm+wySDGvMZjw5hq8mwUl+v1HKxIZNgxyZZWzTpk0TPwekVyoyRXGZ7evDDz+s7pP56c+2rfY8vv3223rr3qZ8WCaCFpZG6plTMmaWMVheOQbMovn+0UcfbbVEaZE0g4/VJDgpj7t69Wpv165d1XYCxkHH98cff7y6n3Qmo5lJyeyWCabKGiuZPa7fas+jmT0qj4VlI2hh6eRixSxjsHxm0XxfRv7LKDtrl8kLilFrlCRbUbJZ+R3nWN/MqJUFJpu+++676r55LpiE/OwyOJbn1MyyDepnWe15NPt5ZFpYVoIWllZGPZWMwfLIRWvb66OUle/TX8f6NC/SR61RcujQoeo+F/7luJ7goTkNcgalmoZlLRIcpVwrt7LOy1qVjEp+bilZS+Zn0Cxmq2VPvvnmm+o+70Vbs6BB1whaWGqlZMwsY7DYSvN9m+ujlMzOqVOn6j2sRzPgG7ZGycGDB++WVvXPCpdjfMlgJABpZtJLhqPf559/Xm/1ejdu3Ki31qaZUSnPrUyH3G/Y8yjK1zezTrBsBC2wwixjsLhKidYsVr5vc32QRdUMND/77LN66zcJDkv5VTIZg2aFawYyzZXox+kPWW85Vn7v/aVgw4LmUc+jOXD2/PPP11uwfAQt0GCWMVg8ac5uu/m+9F5ovp+MZkP9IDlmJ6Ny5cqVes+9Esjk87klg14My3A0B6nWOj1x05tvvllv3XmOw4zKtJw8ebLesr4LS+5XYKCV4OXXbdu2/Zo/k+Zt5eT56/Xr1+tHAV2Wv9WHH364/oh5tRKs3D0Gnz59ut67cfn/ke+Z79+U/zPZf+TIkXrP+qwESXef9+XLl+u99xv2PKI8l5yPYJnJtMAQZhmD+Terle+ZrD179tRbvd5XX31Vb23coAxHMuvpIUlZWKYr3ojSz5TvNWox02GZlsyIVvpZBk2VDMtE0AKrMMsYzKdZrHyf/oM0hTNZ6Q8px+BhJWLrMaiXpAQaG51prhlwrFbWNayn5ZNPPqnuM3Cm1JBlJ2iBMZhlDOZLWfk+s3e1KZmdP/zhD/VHTFKzP2RSg0X9GY4EujmuJ0DaaLD70Ucf1Vur98UMy7SU/79lhX1YZoIWWAOzjMF8yCBDLvTanLmrrHzf5rTKy6QMHmXgaNQik2vRn+FINuPXX3+tfs5GlYxQnu9qk0AMyrTkXPLcc89VkxA0AzZYVpvS2FJvA2uQE0pmdelfeCzBTGro2yxJAX6TrOfOnTt7P/74Y71n+nI8SLno119/3eosZWxMSrj27t1bBRizDDa78jygywQtsEEZ8Xv55Zeri5WmjK5dvHjRBQy0LH9z6Udoc+CglP9stHEbgMGUh8EGDZtlLEFMRl6VjEF7ZtV8n94DAQvA9Mi0wIRlxLV/5e1Md5kyMml/mJ5SopXZ/trsZclEHFll3exOANMjaIEpyMhr5tTvLxlLQ2UCGiVjMHmZanjLli0jVx6fhvy9Z5IOAKZH0AJTlFKVTLta5uovclGV2WDaHA2GRTaL5nsA2qOnBaaoLEx55MiRes8dZWHKzBgDbNwsVr7P369+NYB2CFpgypJNSYPuoIUpM8Xl9u3bJ7bmACyjWTXf5+8XgHYoD4OWKRmDyUnAn8GAtpvvM9iQvjXN9wDtELTAjJhlDDYuf0dZhX4SK5iP6+OPP64GGWRIAdojaIEZMssYrF96Sl5//fVWg4f0sGQ9pmR2/H0CtEdPC8xQpkkdtDDll19+aWFKWMU777xTZSbbdOzYsWpiDQELQLtkWqAjEpzkgqi/ZCzBTGZFarPJGLouwcqVK1eqW1vKtMpt988AIGiBzhlWMpZm44sXLxrhZenNauX7TKIRmu8B2idogY4yyxhdkv+PCRbaXm1+kKx8n0kr2my+B2C2BC3QcWYZY9ZK83nk/156sGZVrmjle4DlpBEfOm7QwpS3b9/uHThwoLd7927TrjJ1n3/+eb115/9eFlXcyP+9BEHrbaDPyvcJmtqUgYNSGgbAbMi0wBxRMsasJEDJrFmZ2a4p+06dOrWm/3sle5jszVoyJgl0bty40Tt//ny9Z/o03wN0g6AF5oxZxpilsjZKMi5F/u+dOHFirAb1BD9poo8EPMkkjiNfl2xjJqhoczKK/CylmACzJ2iBOWVhSmZpUNZvnH6XlJWVbE2+dtzsxaxWvv/rX/9araUEwGwJWmDODSsZy8VdRr6VtDAtyfqdPHnyvv6UYYFzAu2tW7dW2wluxp06ONmdQ4cOtdp8XyYfsPI9QDcIWmBBmGWMWUnpVgLnCxcu1Hvu6O93ycV/yspKMDBuQL19+/beu+++22rp49tvv9374Ycfxi5fA2C6BC2wQDKSndmVmv0GkZHvS5cuybowVcmIvPPOO/eULJZ+l0gvTFy+fHnsACRBd9sr35e+G6dHgO4QtMACMssYszTs/18kgB43AEmJ1ixWvo/8bH8nAN0haIEFlYuujGz3l+zMenFAlkdKrPr7XbLm0LPPPlt/NFpWvt+yZUsnVuEHYLYsLgkLKqPEWc9i0MKUG10cEMaRySCSJclCqJEel3EDlpQ6ZlHLNgOWBPrJEgHQPTItsCQy4p2maLOMMQ/StN92RjCTWfzyyy+tLl4JwHgELbBEMpI8aGFKs4zRJfm/aOV7AJoELbCEzDJGV5WV79sOHjKt8v79+/XPAHSUnhZYQukryMVhym8yJW2RlcrzcRqok5WBtmXWsWQD2wxYsvJ91mQRsAB0l0wLLDmzjNEVWecl/xfbnCAi//+tfA/QfYIWoJKSscOHD9+zMGCkZCw9MC7omLZZrHyv+R5gPigPAyopGbt27Vo1m1h/yVgW+EtztJIxpiX/v55++unWM3uPPvpolVEEoNtkWoD7mGWMNuX/26xWvgdgPghagKHMMkYbstBpbm0vJOn/L8D8UB4GDGWWMaYtzfc3b95sPWDJ/1//dwHmh0wLMJZc4JlljEnK/6lkWGbRfB9nzpyp7gHoPkELsCZmGWNSPvjgg6rM8MqVK/We6bPyPcB8ErQA65KG/FOnTvV++umnes8dmX3s6NGjLggZKWWHab7P/582/69kWuUE3fk/CsD80NMCrEt6EDJafeTIkXrPHelz2bp1a9WrAMNk5fsEuG0GLFn5PgQsAPNHpgXYsGGzjB04cKB34sQJJWPcY1Yr3yezc/Xq1WqCCQDmi0wLsGHDZhlL034uFJN9geKdd95pfUHH9M/s379fwAIwp2RagIkyyxijpBcqjfdtNt8DMP8ELcBUKBmjXwLaZOLabr4HYP4pDwOmopSMpdl6UMlYRtxZLinPmkXzvUkhAOafoAWYqjLLWDIsTelzSbbFBeVymMXK95FSRQDmn6AFmLqMrJ8/f753+fLlqrelSOnY3r17ewcPHmx1JinalbKwWTTfZ+X7PXv26KMCWAB6WoDWDVuYMqPwKR9iseT3fePGjSpwbYuV7wEWi6AFmAmzjC2HZNC2bdvWevCQle/TQ9N2ORoA06E8DJiJUjJ2/fp1JWMLLCvfHzt2rNWAJWuyhIAFYHHItACdMKxkLOViLj7nk5XvAZgUQQvQGUrGFktmh/v0009bDR7yfyj/f44ePVrvAWARCFqAzikj9BamnF+zaL4HYHEJWoDOMsvYfEq2YxYr36cMTUALsJg04gOdleBk0MKUCWYsTNldmbUr5XxtN9+//PLL9UcALBqZFmAuZN2Nffv2KRnruPJ7anvmt0ceeUTzPcACk2kB5kIuRnMhnLKwlB4VabrObFHJvjBbKQtLwJLm+zZl5ftkdwQsAItLpgWYO2YZ66ZZNN9b+R5gOQhagLlllrHuSBYsGa+2m++z8v3hw4dNcQyw4JSHAXMrGZVRJWNvv/12vYdpy8r3+T20GbB8/PHH1b2ABWDxybQAC2FUyVjbCxwumwQPmemt7eb73bt3986ePSujBrAEBC3AQjHLWPvyngoMAZgm5WHAQmnOMtZklrHpSAnejh07BCwATJVMC7CwzDI2XbNa+T5lYe+//75ACWCJyLQACysX0pl+9/Lly1WgUqR0bO/evb2DBw9WF96sz6xWvr9586aABWDJyLQASyMXvMm89EspWRrJGV+ZbrrN5vsEmCnxs/I9wPIRtABLxSxjG5f3cOvWra2/X1n5/pdffml18UoAukHQAiwlC1Ou3yxWvp/V4pUAdIOgBVhquQAftAilkrHBZhU8JIh88803LSQJsKQELcDSG1UyZpaxe2Xygi1btrQa0KUX6cMPP+xdu3at3gPAshG0ANRGlYy1PUtWF81q5fsElcnsKNkDWF6CFoA+ZhkbzMr3AMyKoAVgALOM3St9P8lAtdl8/+9//7v34IMPyrAAIGgBGMUsY3cCuDTf37p1q9USuax8n5sJEQCwIj7ACGnCTw9HSsOakoHJhXxmH1t0Wfn+2LFjrQYs6Z/JyvcCFgBCpgVgTMs4y1gyTe+8807rM3c98sgjVr4H4C5BC8AaLcssYwnSZrXyfZw5c6a6BwBBC8A6LfosY7Na+X7btm2t988A0G2CFoANWNRZxmYVPGzfvr13+PBhK98DcA+N+AAbkAv6ZCIuX75cBSpFSsdSWpUV5BPYzJvjx4+33nyf9+m5554TsABwH5kWgAlKSVXWNOmXXpd5uRif1cr3ADCMoAVgwoaVjKXc6t133+38LGNWvgega5SHAUxYs2Ts4Ycfrvf2el9//XVv79691exYXS0ZS5bohRdeaDVgycr3Vr0HYBSZFoApG1Yy1rVZxmbZfJ8FLC0kCcAwMi0AU5aL8Z9++qm3a9eues8dCWRywZ51X7rgyJEjrTffZ9roELAAMIpMC0CLurowZZrv//rXv85k5ftz5851vs8HgNkStADMQLIsKRvrN4tZxtJf89RTT/WuXr3a+sr3v/zyS6uLVwIwnwQtADOSYCG9HF9++WW95462ZxlLAPXDDz/0zpw5U++ZvjTf79y508r3AIxF0AIwY8NKxtJjcurUqale1Fv5HoB5IGgB6IhZzDK2e/fu6tZ2I3yyTDIsAIzL7GEAHZHAIRmPtmYZS/N9godZzNwlYAFgLWRaADqojVnGMnNX2833meJ4z549FpMEYE1kWgA6KE346Tfpz4JcuHChWmW/rG8yrnyvpmRvEjy0vfL9yZMnq+cPAGsh0wLQcZOYZSzlZU8//XSVpclCl7Novk/vTF6H5nsA1krQAjAnNjLLWMqx8nXJcmRNlgQPbfaypH8mP68/4wMA4xC0AMyZ9cwylv6VZFiKZFo+/PDD1srD8vO//vprvSwArIugBWAOJWORDMu4JWObNm2qt+6V7zHtRSWz8n20uXglAItF0AIwx8YpGUtPzKDm9yeffLL36aefTi3bUkrBZtE/A8BiMXsYwBwbNsvY2bNn784y1iwLK1JKlq+bVsCSmcLSO5Pg6cSJEwIWADZEpgVgQQybZSwZlZKJycKVCWim3VuSmcJu3rzZ+/nnn6uPjx071mrjPwCLRaYFYEEkm3HlypXe5cuXq0ClaAYsly5dmnrAkpnCEjhl4coff/yx99prr1UTB+TnJgMDAGslaAFYMKVkLCVgTQkkUrK11oUp1yo9NgmaSuN9nkd6WjZv3tzbunVr7+DBg3f7XQBgHMrDABZYMht//vOfB84yNo0pjzNTWLI5Maj5PlmYBDWhZAyAccm0ACyorOeyb9++uyVjzRnEsmZKsh4JMtILMwnJnqRf5sEHHxzafP/KK6/cVzKWGdAAYBRBC8CCSRCwffv2Kih49NFHq30pGUuwMGiWsUmVjL388stVWVh+5tGjR+u9gzVLxvbu3VuVjE0qeAJg8QhaABZIApUEAcmkRH+2owQLacovMiVySrYS6Ky3UT5lX/mZmS0sZWfjSJYlWaALFy70Pv/88yoTlOwQAPQTtAAsgAQNjzzyyH0X/cmi9CvBwqRKxvLY0nyfKZfX2idTSsaSBTLLGACDCFoA5lzKwQ4cODBwEclRJlUydvLkyeo+WZaswr9eJQuU75NeHAAoBC0Acy7BR3/JVzEo09JvIyVj+VyyO2m8TwC00ZXv//nPf1Y/+9NPP633AIApjwEWSkqrkqkoWZfTp0+v2hTflKzNoUOH7svaHDlypMqi9AclZeX7Sa27khK3PXv29M6fP1/vAQCZFoCFkXKuzMbVLPlq9qyMYy0lY9nO+i87duyo92xM+lkSLCXQAoAmmRaABZEsxdWrV+82wpfsR7Iv65GvT4alf2HKNNynfGvnzp1VIPPcc8/dXf1+vfKz8r3WmhkCYDkIWgAWQGb8yvoo6U+ZtGElY5EA5vr16xvuZUnvTFy7dq26B4Am5WEAcy7N8JcuXZpKwBLDSsbi9u3b1TorG1HWeBl3fRcAlo9MC8CcS5bijTfeqNY7mbZhJWPbtm2rgo61rtESKWvL+i4bLTEDYHHJtADMsdIY30bAEmVhyjT4T2JhytJ8v5H1XQBYfIIWgDmV4OD48eO9ixcv1nvakUAjmZFhs4wlmEnJ12rKGi9pvt9oTwwAi015GMCcmmbz/SgJSLKWSgk0VptlbFjJ2KTXeAFgcQlaAOZQshSZcjjZjq5Yy8KUCXwOHDhQzTy2nj4YAJaL8jCAOXT48OHWF2FcrVdl1MKUKRlrLkz5+uuvV8GMgAWAcci0AMyZXPxnpq421zRJwJLFH5uLV44yapaxLEaZQCYZGb0sAIxD0AIwR0rwkNm61rvS/Xqk+T5rspw/f77eM55hJWO7du2q1pYRtAAwDkELwByZRfN9+mcynfFGMiMJejJTWFNKxlLi1tZ0zQDML0ELwJyYVfN9ZvnKbdCK+GsxjYUpAVgOGvEB5sQsmu8zy1dK0jYasERZmPLChQsDF6ZMNma1Zn8AlpOgBWAOpPk+pVltl1Jllq933323/mgy8hoGzTKW8rH06zRnGQOAUB4G0HGzar5PluWzzz5bc/P9WqRk7OWXX65eW1NKxrLSf5uvF4DuErQAdNysVr5vUwKkZHXGWZgSgOUjaAHosC6ufD9NZhkDYBA9LQAdNovm+6yt0h84tCXZpFu3blXruBTJvhw4cKC3ffv2KogDYPkIWgA6ahbN9+mfyWKQL774Yr2nfWYZA6Cf8jCADppV830Cgh9++KF35syZes/sDSsZO3HiRO/o0aP1HgAWmaAFoINm0Xyfmbwya1fKs7rW+G6WMYDlJmgB6JhZNd8fPHiwt2XLloksJDktZhkDWE56WgA6Zt++fb1z587VH7UjwcA//vGPTgcsMWxhyrNnz1bldHkdACwemRaADknz/aVLl6pG9DY98sgjvatXr/aeffbZek/3pWQsGZYvv/yy3nNHSsY+/PDDuXotAIwmaAHoiNJT0nbzfSRDMa/roAwrGUs25s0331QyBrAABC0AHbEMK99Pk1nGABaXoAWgA2bVfJ+fu0hlVGYZA1hMGvEBOiDN922vfJ+yqvzcRVqoMUHJtWvXBi5MmUb9ZLMsTAkwf2RaAGZM8/30DCsZS4A4rz08AMtI0AIwQ7Nc+f727du98+fP13sW17BZxnbt2tV7//33zTIGMAcELQAzlAUdn3zyyVab79PHsnXr1mq2rWWaWSsZrePHj5tlDGAOCVoAZmRWzfe7d++ubl1fSHJalIwBzB+N+AAzMquV71OStqwBSySrdf369WpGsSLZlwMHDlTBXIJJALpF0AIwAylV2rx5c+/FF1+s97QjF+Tvvvtu/dHySh/LoFnG0veS0rlkY8wyBtAdysMAWlZWvr9165Y+ig5IcHLy5EklYwAdJmgBaJmV77tp2MKUZhkDmD3lYQAtSnlW1mRpO2DRq7G6sjBlsitKxgC6RdAC0KJZNN///e9/7928eVOmYExHjx6tZnTrn6wg5WNZUyeTGQDQLkELQEtm1Xz/+uuv9z799NP6I8ZlljGA7tDTAtCCsvJ92833yQ7cuHFjKVa+n6ZkVxL8WZgSYDYELQAtyMr3W7ZsaXV9FLOUTZZZxgBmR9ACMGUpI5rFyvezCJSWgVnGANqnpwVgyma18v1///tfAcsUmGUMoH0yLQBTlOb7THF85cqVek97khHIBTbTlSBFyRjAdAlaAKZET8nySAng4cOHlYwBTInyMGAhpByna+tnZMrc1157rdWAJYFS1mWhXQlKUjJ24cIFJWMAUyBoARZCpqPN+hnbt2/vxPoZCRy++OKL1le+P3LkiPVDZijlYMmsWZgSYLKUhwELYdOmTfXWHbNePyPB0xtvvNFqT0MuiPO6k21h9swyBjA5Mi3AQrh8+fI9K5dvdGT71VdfXXeZVX52gqW2m7CTbUrzN90wzixjAIxHpgVYKJmt6/jx4/esXJ5g5uLFi2PPpJXvkQAgUuqzlhm4ZrXyfS6Ab9++beX7DjPLGMD6CVqAhZPAIUFHmqKb0l9y9OjRkcFEmfErQU/uM1K+FlnQ8cknn2y1lyXPOYFSnvOsyuEYz6hZxs6ePWuKaoAhBC3AwsoFYhZ2TAaiSECR0e5hI9spC8vFY1y/fn1NfQf5ebNY+X737t3VzUKS82NQRjBm3YsF0FV6WoCFlYAjWYhm1iMBTGYZS0akv2E9QUcJWHLxuNZG6QRIbfeUlHI0Act8ScYvJYSZ7a2p9GKZthrgXjItwFLIxf3+/furJuimBDTlgj+lOQlq0mew1mxJLjZv3Lihp4Q1G1YyttZeLIBFJmgBlkpGsNPv0l8yluxLaZLOTGQvvvhitT2O0geTi04XmKyXkjGA4QQtwFIaNJNTpCH6ypUr9UfjSR/Mo48+2mrzfSkLa7t/hulr9lUVq/ViASw6QQuwtJIhSU9Bs2RsrTNwlcxNf3/MtGm+X2xmGQO4l0Z8YGnlwi9ZlUyNnIvB3K+1BOedd94ZmLGZpgRKN2/eFLAssEwCMWxhymTYkilMtg1gWci0AKxTgpUEPWstJ9uIXKhmNfVPP/10zbObMZ/yOz927Nh9JWMJZs6dO7em/iuAeSVoAViH0lPS9sr3CZTMUraczDIGLDNBC8A6ZJ2XLVu2tFqilb6ZBEpWvl9uZhkDlpGgBWCNMuKdhSTbbr5PoPT8889XCxOCWcaAZSJoAVijlOGkQbrtXoKUpBlFp8ksY8CyMHsYwBpkFHvz5s0zaX4WsNDPLGPAspBpARhTWfm+7eb79DDs2bPHqDkjmWUMWGSCFoAxpYcgo9ezaL5PoCRoYRxmGQMWkfIwgDFkQccvvvii9QUds2L/e++950KTsQ0rGUsQo2QMmFcyLQBj2L59e+/dd99ttcQmgdLrr7/e+ixlLBazjAGLQKYFYBW5uEsPS5sBS0bCDx06VI2Ww0acOXOmd/369ao8rLh9+3bvwIEDvd27d8u6AHNBpgVghFzQlZ6SNpvvU8KTC0sr3zNJFqYE5pWgBWCEjETnZuV7FkUC8ZQdXrhwod5zR0rGZrH+EMA4lIcBDJGekps3b7befB+5oBSwMA35f5UM3qCSsb1791ZBuj4qoGtkWgAGyGh0Lt7abr6HtqVn69SpU/eVjGXWuqNHjwqegU6QaQEYoGQ62m6+1xRN25JJTM9WptduSl/V1q1bex9//HG9B2B2ZFoA+syqpyQj3rl4zGxPMAtZmHLfvn1VqVjTrl27epcuXZJ1AWZG0ALQ5+DBg70tW7a02suSDEsWAtR8TxeYZQzoGkELQMOsFnScRaAEo5hlDOgSQQtAg5Xv4V4pGTt8+HDv66+/rvfckZKxrLT/u9/9rt4DMD0a8QFqs1j5PhKwfPrpp/VH0C3PPvts79q1a9VsYilhLL788suq9yt/NyaQAKZNpgVgxax6SnLBd+PGDSvfMxfyd3Ls2LEqw9KUkrH8X37llVfqPQCTJWgBWDGLle9zAZgpZbPIn8Zm5olZxoC2CVqApaenBNbHLGNAWwQtwFJLtsPK97B++RsyyxgwbRrxgaWWkeKnn3669QurTHGciz2Yd8mmpCcrZY7btm2r9/aq0rG9e/dWgwKymMBGCVqApZULqVOnTlWjwW16++23q3ulMywSs4wB06Q8DFhas1z5/tatW9a3YGHl/7lZxoBJErQAS2lWzfezmKUMZsUsY8CkCFqApZQsRxZ0TElLWxIoHTp0qPfjjz/We2A5jJplLOVkAKvR0wIsnZSn7Nixo9WApcywdO7cuXoPLI+jR49WJZEHDhyo99yRv8UMICSgBxhFpgVYKqWnZBYr31+5cqW6wTJLydjhw4d7X3/9db3njgQ0J06c0OsFDCTTAiyV/fv3V7OFtV1Ln6xOavhh2TVnGWvKOi9lljGAfjItwNKw8j10SymbtDAlsBqZFmAp5OLonXfeqZrv2yRAguGaC1MmUCnKwpSZltzfEBCCFmApZCQ3F0htNt/Hzp07ex9//HH9ETBI/i4TnPQvTFlKxsqCrMDyUh4GLLxcDOXCZxbN9zdu3KhGkoHxKBkDBhG0AAsvizmmAT/TrralzFJm5XtYn2ELU5plDJaT8jBgoaU0KwFEmwFLJEhKqYsLK1if1UrGzDIGy0WmBVhoCRraLimx8j1MlpIxQKYFWFhp3s3K921e0JSLKyvfw+SUWcYuX75sljFYUjItwEIqPSVtN9+nDv/kyZOa72GKUhp26tSp6u+76a233rpv0UpgMQhagIU0i+Z7oD1KxmC5CFqAhWPle1geZhmD5aCnBVgoZfS17ZXvM0uZBfCgfWYZg+UgaAEWygcffFA137e98n1q6dv+mcBv8jeYdZGSYWnKYEKyLcnAAvNLeRiwMGa18n0uilKaovkeuqGUiCoZg8UhaAEWRqY93bJlSzXi2pYyS5mV76F7zDIGi0PQAiyE9JTkQqTt5vvMUpZbm4ESMD6zjMFiELQACyFZjjTft9lXYuV7mB9mGYP5phEfmHtl5fs2A5aM3iZgsfI9zAezjMF8k2kB5lqCh1xwpKekzeb7yAWQ0VmYP0rGYP7ItABzLaveHzt2rPWAJQQsMJ9yvMhsf5cvX64ClSKlY3v37q0m9UhgA3SHoAWYW+kpyYVF203wafoH5l8yKsmYJrvSlAxMSsiUjEF3KA8D5lKCla1bt2q+ByZiVMlY28cZ4H4yLcBcmtXK9++88859o7LA/BtVMpYBkpSMtT2lOvAbmRZg7uTCYdu2ba0336dU5MqVK9UNWGz5e8/MhP0y+5h1maB9ghZg7lj5HmjDqJIxs4xBuwQtwFyZ1cr3CZRyoZJRVmC5pJctwcughSkTvMxi9kJYNoIWYK7MauX7TIPqcAnLLb10CV76KRmD6dOID8yN1Je/8MILrTffZ3Q1zbnAcjt69Gjvp59+qjIsTTk2ZUDl3//+d70HmDSZFmAuzKr5HmCQUSVjJ06c0PsGEybTAsyFI0eOzGzle4B+ZWHK/j63NO0/9dRTFqaECRO0AJ2X5vtZrHyf5nur3wOj5Lg0qmQsGRlg45SHAZ2WYCWjllevXrXyPdBpZhmD6ZFpATrt5MmTvf3797fefJ8LDyvfA2tRSsb6jx0pGcs6T0rGYP1kWoDOmlXzfco6/vWvf1n5Hli3UQtTtj1tOywCQQvQWbt3765uVr4H5pVZxmAylIcBnTSr5vuUouVnupAAJsEsYzAZMi1AJz3yyCOtN99nYbidO3dqvgemYlTJWPpgEuAAgwlagJnLKGQzs5GekpRSnD9/vt7TnlxUmOEHmKZhJWNZj+rUqVOOQTCAoAWYue3bt/eefvrpaqQx6x1Y+R5YBh988EEVvPRLKVnbpbHQdYIWYOaSZcmIYxrgU+Nd+krakkzP559/3jt69Gi9B6Adye7mmPfll1/We+7I4M2HH35oljGoacQHZu7nn3+u7pNl+frrr3uXLl2q+kvaklHNb7/9tv5oeW3atKm6HTx4sN6zOEa9tkV+3XRfMsqZXv3y5ctVb0uRY+HWrVur/5cJbGDZybQAM5cLxkFS333mzJn6o+mY9Mr3ydqMes7PP/98Z5tty++hjfe9baNe2yK/buZPevoGzSiW8lnZYJaZoAWYqYwgpiysX1sLsKWf5o033ui98sor9Z6NefXVV3tnz56tPxquixcg5eI960fMYhKEaRr12hb5dTOfRpWMvfvuu2YZYykpDwNmqn/2nEi5VjIW0w5YMpqZ0oxJBSzxyy+/1Fu93q5du6qLjNzn1iz9SPNtRlS76IEHHqi3Fs+o17bIr5v5MqpkbO/evdXgiJIxlo2gBZip7777rt66c5GfWcPaaMLPCT9BwzhZkbVoXvjmouPatWvVfW4JxJqvLUFTm70742oGXotm1Gtb5NfNfBq2MGWOW8lQW5iSZSJoAWaqNOFnsbVc2Le1Ev20Vr5f7cK3fyrT9NR0jUwLdEuOGRnQycBOUwZeUuLaxeMITJqgBZipZ555ppo1bJIlWuP4/e9/f9/o5SSMc+HbLHu7ceNGvTVYLkYympr1HNaSlUkmKV+bi5rcsj3u168141B+1moXTuUxo8paMqo8znPNY9bzvsi0MK8ywDKqZMwsYyy8NOIDMBkHDhzI5CbVbZiVi467j3nrrbfqvffK/vKY/tuFCxfqR90v33vXrl0Dvy63PL9bt27Vj75XecyRI0fqPeNZCf7ufm1+/iDjvOZ4+OGHq8fkNQyy3velPGbQaxv1OeiqYX8Lp0+frh/RrvyNX79+vf6INuRYnvf9p59+qvcsNpkWYO59/PHHVWNqyiSat4w8ZiS+OfqYkfxpGifT8tVXX9Vbvd4TTzxRb92R55rnXmrVUw6ycnFSzWxVRlezndfbL1+bEdcy41C+tkwEUL42ZXg7d+6stodZa8ahmSX76KOP6q17NV9znsMgyZgk6xYp32vayPvSJNPCokimOH8v+VtoyiQf+VtZLfM5Sfm7zLEn68rQnpdffrl63/M7Xwp18AIwVzKy1BzhX+2WUcmMSmV7mpLJKD9zkGQDyueTVeiX0f7y+f6sRV5z8/v3j2qW15f3ZdDIW/NrB2VEyufWk3FYCY6qrx30mmIlsLj7/XMb9PyaI8f92aCNvC9RPifTwiLK30T/31j5Pz3ob23SSoY0f4e0p5wDhx13F42gBZg7uaAddIIe5zbtk2rz4joX4Tmp5D77m885J5n+C/NcXJTPD7uAbj5mra+l+bV5Tv3W+32jGUCOChrKbVAJy666rC0BUNMk3pf1fg7mybCBnOwvctzJ31H+znLL9qBBjHE1B2I28n1Yu+Zxb1ZlgW0StABzpXmCXO9tmgf3XPgO+pnllmCleQHR1LzgyMlomHJxv57RtfL9B138j/rcahKolK/vD4jyfmd/graSkekPEJon3/73ZxLvS/n6Sb9u6JoEJeVvoXkrAUr//nJb7///8je9LKP9XVPe/9wvOj0twNxIP8rKxW790fql/nda9d7NnpaVi/fq1qw5X7normYMGzTLz8rFRr11Z9HNPMcyk1bZzu2xxx6rHpPvtVYrgUN1P+nejsyIVr73F198Ud0X33zzTXX/wgsv3O1V6e9r+fzzz+utO2tTNE3yfdHTwqIbNcvYqHWp8rnSMzauHMfyfaO/D412vPHGG9V9fg/T7tmcuTp4Aei0jLBnJC+HrUndRo3ar1cz09Kv+blBo5plxGwtt0HyupLdyGjrsO85jYxDcxS3+d6W31tKR5oZmWYZWXlvBo3WDho1Xu3Wr+yfxuuGLkvms/wfX+221tH6kkXNbVBZKNOXY235HQwq+10kMi3AXMjI/MrBuf5oMo4dO1ZvTc6o2cPOnz9/d+Qzo5qj1hdZuXioMjS5Nbeb+94bsM5MMg4rF/5VNimziJVR0PJ1xTQyDi+99FK99VsmJSOx5fe2Y8eOKiOT5xeZ9a0oj3/ttdeq+6abN2/WW+t/XwqZFpZN/h7GPXaW48W4Ll26VN3nb7q5/hTteeihh6pjX/ztb3+r7hdWHbwAdFZzJGnSt/5m+I0alWmJZBvK5/tH9ldOPNX+9H6sRzOLsXLxPrApNt970M+O8rUbyTiU75H3IUo/Sp5PUd6j8jqbz3vQcx6VhRlX+f4yLSyr/A2W/+vDbmv9G8vj83Xl771f82cOO9Y2M0E51ndR8xiVY9oo5ZiX26TPL8PMw3s4CTItQOc1+x0mrTnaPwmrrdOSfo1kAyLZlmZvS1bpj/RtrMf//M//1Fu93rVr1+7rDWmaVsZh5eKlui+Zk7Lif/pZij/84Q/VfV5nXn/5HWS0dtBzLu/puKPFo8i0sKwOHz5cbw333HPP1VurS/9E+Zts9s40vfvuu/XWnTVF+iXbXPpojhw5UmUNuqiZIT516lR1P0zJduTx6S9qQzPLNc3z5awJWoDO++yzz+qtySvlDZMyzoVvs2G12ZDeXGhyPcFUaXgfdgHRNCq4Wi3wGuX555+vt+5ckJTX11yAcs+ePfXWnddfGveHNfKW0odI+dtGTOt1Q9cdPXr0nr+lQZ566ql6a3X//Oc/6617L5qbMghRBjJSetZ/XNu3b191nwv81YKBWSvHpwRqw45DOeaVQadplB8P8+CDD9Zbd57DohK0AJ33/fff11uT98MPP9RbkzHOhW8uHoqTJ0/WW3f2l9G8zDo2aIaxpv7PP/3009V9TpqDZpHJavHlhDqtjEPztTVHdpsXNRlNLdmmBI3NvptBEvCU9+XQoUNrfl+aZFpYZplVLAMF5e8v8rdVbmfOnKn3rq55cdy8aO53+vTpu3+/6bUrf5/JsJTjUR7T1SxL8fbbb9dbvd4nn3xSb92rGZQ1B2qm7fHHH6+31p+pnweCFqDzSgZhGiZ9gB/nwjcn5zL6mJ/fPPnn5B3ZnxN9TpQZ1ctjcv/BBx/0Dh482Nu0aVO13bRly5Z6606pRU6gCV5yv3379numO51mxqFcEJVgpLzWpjJqmckCilEn+fK+ZJQzo8HlfSnvTS6Ahr0vTTItLLv8naV89Ndfq7X6ej/++GN1u3r1av2ItXvmmWfqrfvleHfixIlqO3+/yUAkcClBQAYr2rzAX6+UepUs9rAMfcks5xjYVmlYNLPr0xzkm7mqswWgw1Yu3u82GU7jNklp5h7n+66c3O4+Lg34Tc1GzlG3TDfab+VkOfCxueW5pWE227nvVx436HNr0f/8BzWuNhtbc+t/DwbZyPtSPjfN1w3LpBxLchun4Tx/4+XxzePUSiBTP6L7cmwpzzvH8Ka1NOtPQ/nZeW8XlUwL0HlrqbNeq1K2MClpZM0o28oJvd4zWEYW85iMMva/vpSGZUHFlRNf9fkyipbvm4/L55ulWEVGUJOVyOPy2vI1ybpkBDClH2mCz+eavSdFnk8eP+hza1Fq58tt0PNMuVh5/bm9//779WeGK6879/maPNcY530Z9dom9bqB4ZqZ3pKFzbGq62VhTTlWFM3XE83SsEHHoGkr57JJlzx3yaZELvU2QCel7Kek3SctAcHCryIMMGHpkSsX7hksGKccavfu3feUhKZcbJ6Clmiej5rP/5FHHqk+zgBKeofaltLYWORzmkwL0HnTHAFvjpwBMJ5HH3203ur1/vOf/9Rbw6X/rBmwxLAZA9Ojtlp/2qyUKdujBC/pq0vAEslsN+U1TPu1NCcf2bx5c721eAQtQOdNM7CYhwZQgC4bZ0KTzPwXKcUsF/YJYvqnQY6SvRi3fLcEBs3btIKEnDPK8yoN+c01soadU6b5Wprv/2OPPVZvLR5BC9B5OYFNI3DJyXPY+gIADNc8dq42DXlKyUom4uLFi/esyZJpkDciF/SZOj7dDuWW/rZ83+Y0xZP02muvVfcJulKKVYKXjZ6n1vtampmuRZ4FUdACzIU0bE5aTp4ArF1zmuP0tAyT0qnS+5IL8PS+ZCCqHNMTzCSoWa80vff3cGQSk/R2pHxrUECV4CBBwGoZjGGazzdZoxKQ/fGPf6zu12s9r6VfemoWlaAFmAs5yU2yGT8ngjbn0QdYJM1My6igpbnqfY67RS7Qy8yICWqa61U1JbBolkoNe1y/9Hb8/PPP9Uf3On78eNU3s94sT84dydRH6dPJ63vxxRer7WGm8Vqi+X1GrZkz7wQtwNxIrXBG6jYqKfxJfB+AZVYu3G/evFnd9+tf9b5fc0HLEtxE6f/IsTqlV6VUKlmNrVu3Vk39q8mixMOmyy+ZkY04fPhwvXXHsEkFpv1aotnTssglz4IWYK5kpG4jGZd8/fnz5+uPAFivcqGei+ZBWYPSh5EL9kEN6slYlKb8fI/SlF+CigRFzemDs9ZUgoCPPvqo3jNYAoF8jzy/0tQ/SAm61qO/f+VPf/pTvXWvab+WlIyVc2J5LxeVoAWYOzn5pRyhjGCNIyeMy5cvy7AATEgzEBk0C1jJKowaKMrFe3lcf2Dzxhtv1Fu/2bNnz6r9HSUQGLTIY/N5vvvuu/XW2iWAKEFPzkWrZTim8Vri888/r7d6vZdeeqneWkyCFmAuldlSrl+/Xo0uldropuzL5/KYrBS/Wr0xAONLpqQce//2t79V99O22uxYaZJPIJDboMxEGbhKpmQj54RkQMrK/seOHavu12qjryXKJAcJnBb9HCdoAeZSGijPnTtXjW5lpC4zrpTRunLLvnxukWt8AWbpzTffrO5TwjRuY/lGNBe17JdG91zEJzAZVI6WQCNlaLnA3+iMlM2yrkE/axwbeS1FmQhgWE/NIhG0AHMnzZ2ZTUXmBGC2UrZUSnUHlYhN2r/+9a+qLKs/85CL/AxmJYPSnKWsqcwWlgGvYZmLcWRALNmPyHNZ70yUG3ktkccVzbVvFpWgBZg7mYGlpMQBmK1SHjWpErESBPUf5xMsZCat/ov8ZHhykZ9StVH9M1kUMr2NGx3wavaR9M8i1m9aryWai1puJAibF5t+TQ0FAACsU0qvHn/88YmU45ZMQ7IQTz/99N2L9927d1flUJmIpWQ3cvGf6YDz2PQutiEZpfzcWG1yl2m+lgQ43333XW/Hjh1LEbTItAAAsCHJXkyqf7BkJzJFcJrVy2KMuchP70yzHKuUT6UpvrlwY7mVaZcnKT0mCVZWC1himq8l73fe92UIWEKmBZgbBw8erJonl+UAvRYZzfv222+r2WbWW189axllzMQJTzzxxNDpPQFYToIWYC6k+T71u22l/+dJ5vgvo3lpDl3vTDazllKHrBAdzZIJAFAeBnReLsozM8rFixfrPTSdPHmyuk/gMq8BS6TUoaz5kIwLABSCFqDz0sSYWV+MvA9WZuzJ6srzLr/nSGYNAApBC9BpmZEm00uOmqt+maWXJc2c8cc//rG6n2fNqUjzuweAELQAnfbOO+9seOXiRfbVV19V9ykNW4TFNpslYs0VpwFYboIWoLNKidA892lMU3p9yqrMpaxqEZTXkteW1wgAghagszLtbea2Z7DmqsyDArtc8KfEKrdRF/+ZtSuPKYulbUS+R75XvudqynPr/7nNjFEJygBYboIWoLOyHos1WYbL4mRFKalq+sc//tHbu3dvddu/f3+9914JGjLNcB6TVZ436siRI9X3yvccFQTlc+W59fcrNReo++abb+otAJaZoAXonEmN+i+6rGVSDArukrE4cOBAtZ0AJ037/dIzFAl6xlndeTUJWopR0xY3s0QvvfRSvfWbsu7MF198Ud0DsNwsLgl0SsqYMkqffha9LKNt2rSpuk/AMSzIy/v51FNPVTOMJRBIoFMCnLfffvtu39Dly5cn1sg/zvPavn177+uvv66e048//ljv/U35fDhNASDTAnRKehg2b94sYFmDRx99tN66XwKUMvtaApdjx45V2wkmSsCS7MgkZx4r2Zbbt28P7G3Jzy4BybAJBJ5++ul6687jAVhughagM3JxmoUkz549W+9hmOaFfPMCf5AEgNu2bau2894mkCiBRTIdp06dqrYn5U9/+lO91RvYJ9PcNyw4feCBB+qtXu/nn3+utwBYVoIWoDOOHz9eXUxb+X51zQv55gX+MBcvXqy3elX5XWniTxZm0pMdNNdaKav1N126dKm6z2OaTfdNKWkrvvvuu3oLgGUlaAE6Ic33ac4e1bzNb5oX8qPKw4oEgv2zdO3atWtqZXhlAoCUpOV3W4xTGhZmjQOgSdACdIKV79fmmWeeqbfu9I6Moz8QeOyxx+qtyXvzzTfrrV7vk08+qbfuLQ3LOjzDfPvtt/UWAAhagA5Ij8Vzzz2n+X6dvv/++3pruMwilvK7KNMJZ9KDZhZkkhIglT6aUg4WpVwsWZ5R2ZQffvih3ur1duzYUW8BsKwELcDMpa9BWdjaNPt+xlmAMRMcpFQrSnlWHDp0qN6avDfeeKO6z89NhiWlYSUrNGyxy6L5msrzBmB5CVoA5lRpdl/toj7ZlGRVIiV4zf6WfG3Wa5mGPXv21Fu93meffXZPYDqqNCxKpiVZIRMzACBoAWYmF9O7d++uP2KtmmVTKf8apmRTEuSUYCGr35fyrazXMmg9lfx+sshjboM+v5qUf5WplRM0lcCpNOmPUjIyKRsEAEELMDMpWfrzn/9cf8RalUxLDGvGTxalZGL6Jzr48MMP661eb9++ffXWb7766quqlCy3QeutjOOll16qt357jn/84x+r+2GaAVhz6mMAlpegBZiJDz74oFr5fpIrsS+b559/vt4avIhjsiNl1ftkN/rf6/QSNVevL48tHnzwwXqr13viiSfqrbXJz2wGVyn3Wu13nqmvizTsA4CgBWhdGrIzk5WV7zcmF/9lJrAvvviium9KeVdKwHLhP2w66ayGn8/n1r/y/K1bt+qte/tT1qo5/fGotVmK9L8UZpQDIDb9uqLeBmjFq6++Wt2bMWzj8l6W4C9BxqSa1lOiVQKiZGM28rtKiVrJ4ly/fn3oKvjFpk2bqvsEUleuXKm2AVhuMi1AqzL6n3U7BCyT0ewZaZZVbVTK9yKlXRv9XZW1WfK9VgtYys+NUroGAIIWoFVWvp+slIiVWcCajfUblbKx2OjvKkFqmQhgnNKwNP9HsjxKwwAoBC1Aqy5evOhidMLKIo6Z5WvU1MfjSilXAo1Mi7xa0/xq3n///Xpr9bVZokyLfOzYseoeAEJPC8ACSC9LZgBLZmSc4GCUTJSQpvzVSrlW0+yLGac/JTOgZZazfM2PP/5Y7wUAQQvQkvQq5II0Cw6yPFIe9vjjj1f9LH73AKyXoAWYuly47t27t+dwAwCsh54WYKpSIpTm+8uXL9d7AADWRtACTFXKwlIWtNGGbgBgeSkPA6YmDd2ZjjezWk1q0UMAYPkIWoCpOXjwYNWA/d5779V7AADWTtACTEWa7w8dOmTqWgBgw/S0AFNz7ty5egsAYP1kWgAAgE6TaQEmKlMcAwBMkqAFmKjXX3+995e//KX+CABg45SHARPz73//u7dz507N9wDARMm0ABOzb98+zfcAwMQJWoCJyMr3jz76qJXvAYCJUx4GbJiV7wGAaRK0ABv26quvVlkWK98DANMgaAE2pGRZbt261XvooYfqvQAAkyNoAQAAOk0jPgAA0GmCFmBdUhb29ttv1x8BAEyPoAVYl+PHj/d++OGH+iMAgOnR0wKsmZXvAYA2ybQAa5aV70+fPl1/BAAwXYIWYE3+8pe/VGuyvPLKK/UeAIDpUh4GjM3K9wDALAhagLFl5fs4c+ZMdQ8A0AblYcDYnnvuOQELANA6mRYAAKDTZFqAVaWXBQBgVgQtwEj/93//VzXfC1wAgFkRtAAjvf76673XXnvNbGEAwMzoaQGGsvI9ANAFMi3AUFa+BwC6QNACDPTBBx9Y+R4A6ATlYcB9ysr3V69e7T377LP1XgCA2ZBpAe7zz3/+s7d//34BCwDQCTItAABAp8m0AAAAnSZoAe5K831uAABdojwMqGTl+6eeekrzPQDQOYIWoHLw4MHeAw880Dtz5ky9BwCgGwQtgJXvAYBO09MCWPkeAOg0QQssub/85S9WvgcAOk15GCyxsvL9119/3fvd735X7wUA6BZBCyy5v//9770XX3yx/ggAoHsELQAAQKfpaQEAADpN0AIAAHSaoAUAAOg0QQsAANBpghYAAKDTBC0AAECnCVoAAIBOE7QAAACdJmgBAAA6TdACAAB0mqAFAADoNEELAADQaYIWAACg0wQtAABApwlaAACAThO0AAAAnSZoAQAAOk3QAgAAdJqgBQAA6DRBCwAA0GmCFgAAoNMELQAAQKcJWgAAgE4TtAAAAJ0maAEAADpN0AIAAHRYr/f/A/N0QMjxIqZYAAAAAElFTkSuQmCC\" data-image-state=\"image-loaded\" width=\"610\" height=\"401\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [xI,yI] = locateImages(x,y,xb,yb)\r\n%  x = x-coordinates of the real wells\r\n%  y = y-coordinates of the real wells\r\n%  xb = x-coordinates of two points on the boundary\r\n%  yb = y-coordinates of two points on the boundary\r\n%  xI = x-coordinates of the image wells\r\n%  yI = y-coordinates of the image wells\r\n\r\n   [xI,yI] = reflectAbout(x,y,xb,yb);\r\nend","test_suite":"%% Vertical boundary, one well\r\nx = 100; \r\ny = 0;\r\nxb = [0 0]; \r\nyb = [0 200];\r\nxI_correct = -100;\r\nyI_correct = 0;\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Vertical boundary, multiple wells\r\nx = 100*rand(1,2); \r\ny = randi(100,1,2);\r\nxb = [0 0]; \r\nyb = [0 200];\r\nxI_correct = -x;\r\nyI_correct = y;\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Horizontal boundary, one well\r\nx = 100; \r\ny = 50;\r\nxb = [0 200]; \r\nyb = [8 8];\r\nxI_correct = 100;\r\nyI_correct = -34;\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Vertical boundary, multiple wells\r\nx = 100*rand(1,2); \r\ny = randi(100,1,2);\r\nxb = [-8*pi 8*pi]; \r\nyb = [0 0];\r\nxI_correct = x;\r\nyI_correct = -y;\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% C E 473/573 problem\r\nx = 0; \r\ny = 0;\r\nxb = [-550 1050]; \r\nyb = [900 -50];\r\nxI_correct = 503.4657;\r\nyI_correct = 847.9422;\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Slanted boundary #1\r\nx = [150 210 280]; \r\ny = [50 70 95];\r\nxb = [0 200]; \r\nyb = [0 300];\r\nxI_correct = [-11.5385 -16.1538 -20];\r\nyI_correct = [157.6923 220.7692 295];\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Slanted boundary #2\r\nx = -[50 65 83 104]; \r\ny = [20 35 49 65];\r\nxb = [-107 -69]; \r\nyb = [57 22];\r\nxI_correct = [-65.4477 -81.6280 -97.0577 -114.7269];\r\nyI_correct = [3.2282 16.9468 33.7374 53.3537];\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%% Slanted boundary #3\r\nr = 100*rand(1,2);\r\nx = -[50 65 83 104]+r(1); \r\ny = [20 35 49 65]+r(2);\r\nxb = [-107 -69]+r(1); \r\nyb = [57 22]+r(2);\r\nxI_correct = [-65.4477 -81.6280 -97.0577 -114.7269]+r(1);\r\nyI_correct = [3.2282 16.9468 33.7374 53.3537]+r(2);\r\n[xI,yI] = locateImages(x,y,xb,yb);\r\nassert(all(abs(xI-xI_correct)\u003c1e-2) \u0026\u0026 all(abs(yI-yI_correct)\u003c1e-2))\r\n\r\n%%\r\nfiletext = fileread('locateImages.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext, 'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-01-03T15:19:27.000Z","deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-01-03T15:19:08.000Z","updated_at":"2026-02-12T14:18:55.000Z","published_at":"2023-01-03T15:19:28.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA mathematical model of wells pumping groundwater near a boundary can be constructed using the method of images, which is also used in fluid mechanics, electrodynamics, and other fields. The method involves reflecting each well about the boundary as shown below: the image well lies on a line running through the real well and perpendicular to the boundary, and the distances between the wells and the boundary are equal. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf a well is pumping water near an impermeable soil unit, then the image well pumps in the same sense (i.e., either both extract water or both inject water): the components of the water velocity perpendicular to the boundary cancel each other and satisfy the condition of no flow across the boundary. If the well is pumping near a river, then the image well pumps in the opposite sense (i.e., one well extracts and the other injects). At the boundary, the water injected by one well replaces the water extracted by the other, and the head, which is related to the water level, is constant on the boundary.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes coordinates of the real wells and coordinates of two points on the boundary and returns the coordinates of the image wells. For this problem you do not have to indicate the sense of the pumping. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"401\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"610\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59034,"title":"Compute the maximum length of a contaminant plume in groundwater","description":"Problem statement \r\nWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of , and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s maximum contaminant level, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity , the magnitude of the head gradient , effective porosity , bulk density , and soil organic fraction . Along with the MCLs, the properties of the contaminants provided to the function are the half life  and the octanol-water partition coefficient .\r\nCompute the longitudinal dispersion coefficient as , where  is the average linear velocity and  is the longitudinal dispersivity. The variable aL will be specified as either a number or ‘X\u0026E’. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026 Eckstein (1995):\r\n\r\nwhere  is in meters if the flow length  is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\r\nBackground\r\nContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration  of the contaminant in time  and spatial coordinate  can be computed with\r\n\r\nThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where . Retardation is included in the retardation coefficient . The maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a second-order linear ordinary differential equation with constant coefficients, which can be solved with the boundary conditions  and . ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 605.9px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 302.95px; transform-origin: 407px 302.95px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.95px 8px; transform-origin: 64.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 151px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 75.5px; text-align: left; transform-origin: 384px 75.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 350.983px 8px; transform-origin: 350.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"20\" alt=\"C0\" style=\"width: 18px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.525px 8px; transform-origin: 157.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.epa.gov/ground-water-and-drinking-water/national-primary-drinking-water-regulations\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003emaximum contaminant level\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 325.967px 8px; transform-origin: 325.967px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.358px 8px; transform-origin: 114.358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the magnitude of the head gradient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"49.5\" height=\"18.5\" alt=\"|dh/dx|\" style=\"width: 49.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.2083px 8px; transform-origin: 58.2083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, effective porosity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" alt=\"ne\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, bulk density \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAACMElEQVRYR+1WyyvEURSe2ROxImXBQlEsvEo2EmWrsLL0KkuKP4BiYemRtVDsWdgpj5UkFmxZEbHn+3TPdObOvb9XMyb1u/V1f3Nf3znfPefcyWbK2LJl5M6k5GVRP5U9lf1PFUgD7k/lFrJ/I/sSLJ4EPoBWY/0eeo6/JZEuiuc1OPjcHE7ya6ALOAMqgBegvhTkQtyAwzuAJ0VygO8x83sCPX/HamGeX+C0HmAW2LJOXsPvBTO2g346FjMWB5HPYH4TeAD6APteS0r+DMI6YBlYdXh1grEhh+wcGwTagXdg3KeIz3Nu2DebutEzyOwmxn1hotFSRvafYnw4LrkEk09yekfP2Vz3zfRbCVDtd6PP80/MMY0OPbJJIDLN+gGdBTxX5psdczkhXOTaK1eUyzzlHgUord2+MRCa/y5yHcW25VJcSOYjlvvmdbAQbQAM3AJjXeT3WNhiXKlFLylGj4+AO2AecAUht20DU0qROXx3AgxgGlApMtnkrGivZpKy3QI3gKTNMb7DKpkYf4m1I8p4XgVbTk2bXKdYkpLZhMMfjYcDSh1xig61iUE2uaSYK3dFraBeqqKd3zKelz02uRQOStYbhc1aI8azsOgs4Lm8a61GXp6LZDxvHVhMQM76QOjcl4JTkLbac51ivpIaZA/T8ArQ+U256QhfP/tVzPOc5bIKYHTHfh6xh0HFV5ARzn841QAfll3AmZZh73kC5aNvScmja1XElansRRQz+lE/Cst8KYjuUDoAAAAASUVORK5CYII=\" width=\"15.5\" height=\"20\" alt=\"rhob\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.125px 8px; transform-origin: 29.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and soil organic fraction \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17.5\" height=\"20\" alt=\"phio\" style=\"width: 17.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 302.217px 8px; transform-origin: 302.217px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Along with the MCLs, the properties of the contaminants provided to the function are the half life \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"26.5\" height=\"20\" alt=\"T_1/2\" style=\"width: 26.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the octanol-water partition coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"22.5\" height=\"20\" alt=\"Koc\" style=\"width: 22.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 65px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32.5px; text-align: left; transform-origin: 384px 32.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 155.875px 8px; transform-origin: 155.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute the longitudinal dispersion coefficient as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"65.5\" height=\"20\" alt=\"DL = aLvL\" style=\"width: 65.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.8917px 8px; transform-origin: 24.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"123.5\" height=\"20\" alt=\"vL = (K/ne)|dh/dx|\" style=\"width: 123.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 105.808px 8px; transform-origin: 105.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the average linear velocity and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"aL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 136.417px 8px; transform-origin: 136.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the longitudinal dispersivity. The variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eaL\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 121.367px 8px; transform-origin: 121.367px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be specified as either a number or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.25px 8px; transform-origin: 19.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e‘X\u0026amp;E’\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 88.275px 8px; transform-origin: 88.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026amp; Eckstein (1995):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARUAAAAqCAYAAACdtc8uAAAMQ0lEQVR4Xu2dW+i+2RTHZ+5JuCJRuKARyjGimUmmRJJySvqHHC4kTabhQpM0JkyTXDiEJjlLEikzQqQcknNcUEhcIY171qd5vv6rbR/Wfp7nfd/f//2vp1a/3+99n2ftvdde+7vXaT+/a6/JKyWQEkgJ7CiBa3fklaxSAimBlMA1CSqpBCmBlMCuEkhQ2VWcySwlkBJIUEkdSAmkBHaVQILKruJMZimBXSXwcuP2NqNnLFx/ZD/fYvSTyVYeYvf/2uhrRm9sPEtbdy3tfWHAv8svQWVyds70dpQEZXvvmY7vogzrHRMyfpPd+1ajDxr90+i1Rs9fBnKT/bxnYlAftXvfYPSxCqjA86XL97B8hdEIVHr8MlA7MTHneiuA8g2jNTvgucrkUOOS5fECa+Afg0b+at8/x+gP7r5vLsACoAAsketpdtO3jR7QABW+x/L5oREW0QhURvwSVCKzcsb3ACg/MHrNoli9oaJMzzNKa2abQsgCeXYHWGQ9lK4KoPR5o98ZPT7Yjd/afbg9b2+AithEQWXIL92f2MygCJfcrY+03z9tdEvs8eZd4vsvu+NBRvDld5RgxJtnX2L0LCN2ob8Zfd/ozR1lLTuCIn2v0xZt3GDEjvkwo38bPXDjmK/kx99nnX+ukWIcGguyRx++ZBSJd8DnUUaAxMwF2GCtRC0VtfOJ5bma+6P2I6AS4peg0p9S7eSPsNtA+o8st8sE5M8nG3kTNaIk4guQXFqURM+xkD9s1NuN8HlfttwDCF1nBLBwsfAjfUJBXm308E6HUeIHG7E7ivfVDCoSFbv145Y/AJTSTRnpgAKdBGFH8QvPS7rxTvtwZDE+xu75utELjfgdMNoCKmF+CSr96Rd61yaDoNvtyyKeXWjii1UhoPI96QXC+I7dkiCeD9apP/D5olFvF0Sp/2TkgbInCfX3ardUJCPiHVhuXJEFXpMtAPF+IyyWUXxFzwNATzTquU66lzkjm8MzsnC2gEqYX4JKeylpV2Ah3WhUM2vvs8+xEFCOkbuilkD83y9/PL3BV0rALugtCe0WLaVSIG+0+CNWipdMgsplaQDIf3fCac1hW7Pu/0bAzsY0sjq4X3oTyfywwVxv9EojAGsrqEzxS1BpT712o3Jh+ye0iPksKktNMM+0FET3lODA5P7UqJVOBCywPnp9pl3A8LNGrZqFUioJKpclos2GT5DzE5aF29ak9jdYEbhOPRdUTzMHXzUaAZBcK++SbQGVaX7RhbBGYFfyM8RMfrwMoBcU0yLm1lEqTvLwlkqLt1yZkRtTyrhbP7DcrAxCtL88lqByWdKKZ/HJ7PyU8yWAGlk7zCtXZBNQjIbgrK6n2C9YROjbnUbEAMs4YCtQO80vQaUOfR4sej6ztzp6/mrZiiaQz8vntDMQp6EoaabICeuKqxc4FPA81O6L+vIRUAEscQGftPSBTBZXJCPFmG81IlbEReD5L0a/NPqAUSSjUp/J/T/18ZRWTCzaqjavno4pAxfN6nndavWjpqstUJnmFwUVFs/NRkp5knH4pJFKiCN+XlTQF+E+vxtFQYUS6mcGO+8LiHiEZymIItNCxJ6rDMSOWNNngn6jIjYpSXTuaXcEKrKsSmX1wePWAvSZsBcvAAJAAUYKhmrs0VTqSFZrv/dWJjweazSb+Svb/o990LJ4VHJQFsshMzKECsajT/SjtUlscX9qsuryGykWnf+cEUxYXOxydNy7B/j9MxHsNROK4LdeMwrp0TkKKqPgaNn/Elh4nlgH9Q53dBSk5IOif8aI2gl4oGy9oDFt/MYoCoC01wOVUQp85CIKwMtgt9w02mfRYc5Trn5Kq8WD5EwBWk930e3ahqTxM3Yydf6iFEDpaJ9QaGUhI6CiNHnELV4NKtpByMfXFpYW+sxiXQsMpwSVnhXmMwGzoIIsABaCb35Hjlo8TOy7FzAp5dpT+JYS9+amBSrKYJABa4FvT0b+u9rzcjWOoWMR3fSB+Rl3dyRbPAAfrC03nPJ5HyD2BXHK9pT390CAtl5vxNkgLnTnNqN7jVZZPi1LxQNKS3ha6Gvz9JFJPNU93lIZBdEkhzWgwmR/2Yj4AeCtK1rApvvh8zojCuJ09eYtClzi1QIVnwnpycm7k34n9DGpmh5FU+TH0hOVENBeZEeP9GuNOxrhe7J7WqCiyWylzLwy7OFXnkwAjYaP4f5oQWrxY+5+3Gi2MtYPwbsMLZDb01JR0Jc+9EDFuw3ezRmBilynNYC9t075vu7p8l8VoDKaaCZLyoSpFKnu23uCD83PL5ZoTGVm928dDPMWImOc4SmZeKugttD3BJWoRed1yrsyPjZXG6tApef+KGhJpWnrkJ1OB3PO6UVGkbNVpY752NCaeWnpLLEMrugBwUPr/mb+NUtFitKyUrwf3YpaEzwkp04hFhfITrEVO/EpA21RgfmdNQoqMzULihXUMiIlsMxagt5aqYEKbf/ZaI9ArQeVXuypBSrMRw+YZDHXXA29A4YT1riOrTiSwED9U8r+V/ZM9PUBZT9nKqhHOrcG5Ec8T/p9CSo+ZdZaJB6xR3l6+aBbg1rHDtT6HbQHFpGUaTnBnnfLZfDAMBuz8tW4tazcGnO7FVNZU89Tjkfvc1H2SkcikC33tip/eY4UvA7L1UBF+lxaFpq3aFxkbWk+8hkd30C3t66Pk4JI2XgJKj7wVgMMJunnRvL7ewVUHqC21rEcG1SQk6yJyGnhmcCq37V7cYi1gXABUstlEBDMWEAtUPHg13MJvF7VdEHWGRYUJ7e5fmEUsWwlz9o8tSqM9UzUjfHjjJbmq8akZxGqH6PN+UKBxqgzJaj0ago08RS+sasongJ4PNpI5bxqU4q05mj4qN/H+N4vhNYC7FliyOupRmVFrN/1ejulQGUWkJkHiqVIE5ZzgtxkKUV3aZ7p1an4CtPWJqM4T23hy1K529qpndgezXUPVNTv2lgl30hlsY+xRdLb0cOCsphmAH4kj5N/37NUvJkqQPmU9Vg+LG4BJdTUWagS0g9IihSZhJMLotEBKWXNPPWgWR4q83Gn2kIayaYVyNXuRzFUrWxbfRr5/AABFavRlwT1QMVbXjVXUbJAxLVjB1sDlT1QEXD0QCUC2h44R66Kj4mNyhGQK9dMfOuirpX/9asEFb8YuAkBcr3K6HYjTkhqorBAuC4Zlbsxn2sXn40JXCSheQXxiqniJMZYA9Qy/Vi+OsHzLReiCuKQQ8nbF1+pevZbi8BYsGQ2PrTMU0+OWKSAUqQSutSJ2s7ecptlhVDcRaFeaYmUcqLSVxfAqUrS3hvVtoLKyGLzfaRvOlJRFoZhsVMnhL4THhhlRhUeOCvXBwHVsj8IkTd4E1FHcXkpsj/UJcUGSDjxWAMUH4y80k07FgaH3ViwXHr1I+lJFmfr7AcmM2DcCjTCS5YHB+j8goL3HUal4iLX9xgxR7pQXmIRXzECoCKHBAUUo5c0MQbG7St+2UxIyWK6+7Z0oFByok/I6o8DOXmgdMP6v19bFsKhQEUZTBa9Yoi9/pXfjaxFdAdZnU0qWQIYnf2ZEaK/V77i6L0ea/nnc9sloGK7iLWyvbU2B4ASt/o2I47o6+K0s4K2WDoAW82d6IGKrOWe+zOyVA4xdiU8Zk+hH6Ivu/M8FKj0YhG7DyIZrpaAArnR2MrqhhoP0i6vPLxkVLN4/WNYNN81Kl9SdIxA7d7jZn30Xji+d3tH5XcIUIlkN9iduK6EQrijTsgJGkPB7zZak3nZ0l3t1tET07hi/P+aMqPVAxVlM0tXpPfMljFFnqVPa96kH+F9Ie45BKgoc9FLJRPxn31fyIUQ2Jl2goX6nSMDy4yLLBepdiSkBxCj4rdjJxGIofEvT05lGR5FfQ8BKkqX1uIpOqfBm8m2vNvzKMK5yhpB0Wt1LYcSg88YEWwmOeADzarz4fQ153pa//CslX5Xv1tl+gSSy5cfHWqs4ntsGR96PFX+e4IKSkBKDVNT0XLSb/iOXJh8TOLs2+dPIphs9CgS8EVltQaVfazV5EjfsHjJVHKhe7X0MwD2LiNegEUAmGrdWnbtKIM+90b2BJVzl1WO7zASUH3H9cbel+j/zP6OpsgP07PkukoCCSqrxJYPpQRSAi0JJKikbqQEUgK7SiBBZVdxJrOUQEogQSV1ICWQEthVAgkqu4ozmaUEUgIJKqkDKYGUwK4S+C/FW5JYJTQY7QAAAABJRU5ErkJggg==\" width=\"138.5\" height=\"21\" alt=\"aL = 0.83(log10(L))^2.414\" style=\"width: 138.5px; height: 21px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"aL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.175px 8px; transform-origin: 92.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is in meters if the flow length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 250.083px 8px; transform-origin: 250.083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 383.15px 8px; transform-origin: 383.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eC\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.0083px 8px; transform-origin: 84.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the contaminant in time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.3583px 8px; transform-origin: 72.3583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and spatial coordinate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.1667px 8px; transform-origin: 15.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be computed with\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 39.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 19.95px; text-align: left; transform-origin: 384px 19.95px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"170\" height=\"40\" alt=\"dC/dt + (vL/R)dC/dx = (DL/R) d^2C/dx^2 - lam C\" style=\"width: 170px; height: 40px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 108px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 54px; text-align: left; transform-origin: 384px 54px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.05px 8px; transform-origin: 311.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"81.5\" height=\"20\" alt=\"lam = ln(2)/T_1/2\" style=\"width: 81.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Retardation is included in the retardation coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"122\" height=\"20\" alt=\"R = 1+rhobKoc phio/ne\" style=\"width: 122px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 151.317px 8px; transform-origin: 151.317px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51387\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003esecond-order linear ordinary differential equation with constant coefficients\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.9083px 8px; transform-origin: 94.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which can be solved with the boundary conditions \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"67.5\" height=\"20\" alt=\"C(0) = C0\" style=\"width: 67.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"66\" height=\"18.5\" alt=\"C(infinity) = 0\" style=\"width: 66px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Lp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\n%  See the text suite for the definitions of the parameters\r\n   v  = K*dhdx/ne;\r\n   Lp = (C0-Clim)/v;\r\nend","test_suite":"%%  Dieldrin and styrene\r\nC0   = [1 15];                  %  Source concentrations (mg/L)\r\nClim = [2e-4 0.1];              %  Maximum contaminant levels (mg/L)\r\nK    = 87.5;                    %  Hydraulic conductivity (m/d)\r\ndhdx = 0.002;                   %  Magnitude of the hydraulic gradient \r\nne   = 0.25;                    %  Effective porosity\r\nrhob = 2.5;                     %  Bulk density (g/cm3)\r\nphio = 0.005;                   %  Soil organic fraction\r\nKoc  = [25120 380];             %  Octanol-water partition coefficient (mL/g)\r\naL   = 'X\u0026E';                   %  Dispersivity method\r\nTh   = [1825 182];              %  Half lives (d)\r\nLp_correct = [20.76 58.95];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  Benzene, toluene, ethylbenzene, and p-xylene\r\nC0   = 30;                      %  Source concentration (mg/L)\r\nClim = [0.005 1 0.7 10];        %  Maximum contaminant levels (mg/L)\r\nK    = 11;                      %  Hydraulic conductivity (m/d)\r\ndhdx = 0.04;                    %  Magnitude of the hydraulic gradient \r\nne   = 0.22;                    %  Effective porosity\r\nrhob = 2;                       %  Bulk density (g/cm3)\r\nphio = 0.005;                   %  Soil organic fraction\r\nKoc  = [97 242 622 552];        %  Octanol-water partition coefficient (mL/g)\r\naL   = 'X\u0026E';                   %  Dispersivity method\r\nTh   = [300 20 120 190];        %  Half lives (d)\r\nLp_correct = [1501.21 20.69 54.12 24.98];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  Glyphosate\r\nC0   = 13.9;                    %  Source concentrations (mg/L)\r\nClim = 0.7;                     %  Maximum contaminant level (mg/L)\r\nK    = 30;                      %  Hydraulic conductivity (m/d)\r\ndhdx = 0.0005;                  %  Magnitude of the hydraulic gradient \r\nne   = 0.18;                    %  Effective porosity\r\nrhob = 1.9;                     %  Bulk density (g/cm3)\r\nphio = 0.001;                   %  Soil organic fraction\r\nKoc  = 4e-5;                    %  Octanol-water partition coefficient (mL/g)\r\naL   = 2.8;                     %  Dispersivity method\r\nTh   = 300;                     %  Half life (d)\r\nLp_correct = 115.59;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  1,4-dioxane\r\nC0   = 10;                      %  Source concentrations (mg/L)\r\nClim = 3e-4;                    %  Limit set by Massachusetts (mg/L)\r\nK    = 7.77;                    %  Hydraulic conductivity (m/d)\r\ndhdx = 0.01;                    %  Magnitude of the hydraulic gradient \r\nne   = 0.21;                    %  Effective porosity\r\nrhob = 1.8;                     %  Bulk density (g/cm3)\r\nphio = 0.003;                   %  Soil organic fraction\r\nKoc  = 1;                       %  Octanol-water partition coefficient (mL/g)\r\naL   = 3;                       %  Dispersivity method\r\nTh   = 1;                       %  Half life (d)\r\nLp_correct = 16;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  Benzene\r\nC0   = 2;                       %  Source concentrations (mg/L)\r\nClim = 0.005;                   %  Maximum contaminant level (mg/L)\r\nK    = 11;                      %  Hydraulic conductivity (m/d)\r\ndhdx = 0.0035;                  %  Magnitude of the hydraulic gradient \r\nne   = 0.1;                     %  Effective porosity\r\nrhob = 1.7;                     %  Bulk density (g/cm3)\r\nphio = 0.002;                   %  Soil organic fraction\r\nKoc  = 97;                      %  Octanol-water partition coefficient (mL/g)\r\naL   = 6;                       %  Dispersivity method\r\nTh   = 300;                     %  Half life (d)\r\nLp_correct = 263.93;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  p-xylene\r\nC0   = 200;                     %  Source concentrations (mg/L)\r\nClim = 10;                      %  Maximum contaminant level (mg/L)\r\nK    = 11;                      %  Hydraulic conductivity (m/d)\r\ndhdx = 0.0035;                  %  Magnitude of the hydraulic gradient \r\nne   = 0.1;                     %  Effective porosity\r\nrhob = 1.7;                     %  Bulk density (g/cm3)\r\nphio = 0.002;                   %  Soil organic fraction\r\nKoc  = 552;                     %  Octanol-water partition coefficient (mL/g)\r\naL   = 6;                       %  Dispersivity method\r\nTh   = 190;                     %  Half life (d)\r\nLp_correct = 26.74;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  Ethylbenzene\r\nC0   = 100;                     %  Source concentrations (mg/L)\r\nClim = 0.7;                     %  Maximum contaminant level (mg/L)\r\nK    = 11;                      %  Hydraulic conductivity (m/d)\r\ndhdx = 0.0035;                  %  Magnitude of the hydraulic gradient \r\nne   = 0.1;                     %  Effective porosity\r\nrhob = 1.7;                     %  Bulk density (g/cm3)\r\nphio = 0.002;                   %  Soil organic fraction\r\nKoc  = 622;                     %  Octanol-water partition coefficient (mL/g)\r\naL   = 6;                       %  Dispersivity method\r\nTh   = 120;                     %  Half life (d)\r\nLp_correct = 29.83;\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n\r\n%%  Nastene, phylthene, siccanol (fictitious chemicals)\r\nC0   = [10 10 20];              %  Source concentrations (mg/L)\r\nClim = [1 2 0.1];               %  Limits (mg/L)\r\nK    = 0.2;                     %  Hydraulic conductivity (m/d)\r\ndhdx = 0.008;                   %  Magnitude of the hydraulic gradient \r\nne   = 0.08;                    %  Effective porosity\r\nrhob = 2;                       %  Bulk density (g/cm3)\r\nphio = 0.003;                   %  Soil organic fraction\r\nKoc  = [15 80 2];               %  Octanol-water partition coefficient (mL/g)\r\naL   = 2;                       %  Dispersivity method\r\nTh   = [30 100 475];            %  Half lives (d)\r\nLp_correct = [2.6 1.83 72.39];\r\nLp = maxPlumeLength(C0,Clim,K,dhdx,ne,rhob,phio,Koc,aL,Th);\r\nassert(all(abs(Lp-Lp_correct)\u003c0.01))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-10-01T15:59:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-01T15:47:36.000Z","updated_at":"2026-02-12T14:03:58.000Z","published_at":"2023-10-01T15:59:04.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the maximum length of a contaminant plume for steady, one-dimensional transport in groundwater. The leaking source has a constant concentration of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the end of the plume for each contaminant is taken to be where the concentration equals some limit (e.g., the U.S. Environmental Protection Agency’s \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.epa.gov/ground-water-and-drinking-water/national-primary-drinking-water-regulations\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emaximum contaminant level\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, or MCL). Assume the aquifer to be infinite and initially clean. Relevant properties of the confined aquifer are the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the magnitude of the head gradient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"|dh/dx|\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e|dh/dx|\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, effective porosity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ne\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, bulk density \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rhob\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rho_b\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and soil organic fraction \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"phio\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\phi_o\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Along with the MCLs, the properties of the contaminants provided to the function are the half life \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T_1/2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT_{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the octanol-water partition coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Koc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK_{oc}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute the longitudinal dispersion coefficient as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"DL = aLvL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD_L = a_L v_\\\\ell\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"vL = (K/ne)|dh/dx|\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev_\\\\ell = (K/n_e)|dh/dx|\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the average linear velocity and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the longitudinal dispersivity. The variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eaL\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e will be specified as either a number or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e‘X\u0026amp;E’\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. In the latter case, compute the longitudinal dispersivity with the empirical formula of Xu \u0026amp; Eckstein (1995):\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL = 0.83(log10(L))^2.414\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L = 0.83(\\\\log_{10}L)^{2.414}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"aL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is in meters if the flow length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is in meters. Take the flow length to be the length of the plume—that is, guess a plume length, compute the new plume, and repeat until the plume length stops changing.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eContaminants in groundwater are subject to advection, retardation, dispersion, and degradation. If the transport is assumed to be one-dimensional, then the variation of the concentration \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the contaminant in time \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and spatial coordinate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be computed with\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dC/dt + (vL/R)dC/dx = (DL/R) d^2C/dx^2 - lam C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{\\\\partial C}{\\\\partial t}+\\\\frac{v_\\\\ell}{R}\\\\frac{\\\\partial C}{\\\\partial x}=\\\\frac{D_L}{R}\\\\frac{\\\\partial^2 C}{\\\\partial x^2} - \\\\lambda C\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe four terms represent the effects of unsteadiness, advection, dispersion, and degradation, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"lam = ln(2)/T_1/2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\lambda = \\\\ln2/T_{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Retardation is included in the retardation coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R = 1+rhobKoc phio/ne\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR = 1+\\\\rho_b K_{oc} \\\\phi_o/n_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe maximum length occurs when all processes have had sufficient time to operate—that is, in steady state. In that case, the first term can be ignored, and the equation becomes a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51387\\\"\u003e\u003cw:r\u003e\u003cw:t\u003esecond-order linear ordinary differential equation with constant coefficients\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, which can be solved with the boundary conditions \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C(0) = C0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(0) = C_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C(infinity) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(\\\\infty) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":57532,"title":"Compute steady drawdown in a confined aquifer","description":"A well extracting water from a confined aquifer will lower the piezometric head and create a cone of depression. In steady state, if the distance  to the point where the drawdown is wanted is smaller than the radius of influence , then the drawdown  of a well pumping at rate  in a confined aquifer of transmissivity  is \r\n\r\nIf the distance  is greater than the radius of influence, then the drawdown is zero. If multiple wells are pumping, the drawdown at the requested point is the sum of the drawdowns from the individual wells. \r\nBoundaries, such as no-flow and constant-head boundaries, can be modeled using the method of images, as described in Cody Problem 57497. Each real well will have a corresponding image, and the drawdown will be the sum of the drawdowns from all wells—real and image. Recall from the previous problem that for no-flow boundaries, the image wells pump in the same sense as the real wells, whereas for constant-head boundaries, the image wells pump in the opposite sense as the real wells. \r\nWrite a function to compute steady-state drawdown in a confined aquifer. Input to the function will be the - and -coordinates of the points where drawdown is requested, the - and -coordinates of the real wells, the pumping rates and radii of influence of the wells, and the transmissivity of the aquifer. If a boundary is present, it will be specified by two pairs of - and -coordinates as well as a character string (‘NF’ for no-flow, ‘CH’ for constant-head).  ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 369.9px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 184.95px; transform-origin: 407px 184.95px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.925px 8px; transform-origin: 376.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA well extracting water from a confined aquifer will lower the piezometric head and create a cone of depression. In steady state, if the distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 254.008px 8px; transform-origin: 254.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the point where the drawdown is wanted is smaller than the radius of influence \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1083px 8px; transform-origin: 31.1083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, then the drawdown \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003es\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.125px 8px; transform-origin: 80.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a well pumping at rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACYAAAAoCAYAAACSN4jeAAAC/0lEQVRYR+1Xu2pVQRRNviCJsUyV2AiCQfKAYAotfAVsVUghCCZqZ6FGsfKFYqtJwDKifoCiWAjGFNEIiggBH5XYmegX6FqwN+wzd2bOPifXkOIMLObeO681az9m386OLdo6tyivjoZYVcs0im22Yr04cKc59E1VAqn5dUzZj81OAceAAeCFbD4i/WP0d4HvGyFZhRjVOQ9clgNPoCcJbRy/BpwB1oGjQG0FvcR245AHwBDwDRgFfiUU+SpKct6Busp5iJHUK6BHiNB8OTNNYXxO5t5Ef6WOScuI0TzLogD3D80XO3MvflyUgTJ1k5zLiD3HyoOyegX9sOP2lhinDwIfHesKU3LEjmPmIzPbe0BIbAJ7PGsnMXVi7ulVi3Otj/H7OFA5OlOKhWpNY/N5563vYx5Thrbt+JCK4Mo+xvzEBFpnc6s0nX+H80IuH1vDLE0PzOyHnJvzVSAZbbP4cNa5tpRYuHmVXHQBu982J6QChgHClvS9mI9tJKqsGZ/gYPqqbQyMW8AksAs4DZyMEWwnsTBgwhdCo9WmDyp8CdgHFHJdKir/mmt68lD4QoRRzPEvsuc2s7e6TYu6KWLvsJgPNpsnVdgUEXN4VTMWSBpoBYU9eSzmK9ZvrAlTUXgDC1guxQJJn72CZXJPkn0nU9nbRmHugde9csQKYzli9It7ABMtC78Z4LNI1Yf+OkD5qeg5IJfd20pMzcX0cVhMQYJvgd8Aa7SXgKeE/i/EqNxDgOVPWZFofe8IvqwKcQ2OnCkvYu4d3aCsHmM401SMUPZUieb8WaIUnZ1ltdZvmsNixDQDFPw4R4w3XgD0zbRq8DNLIW76Gvghg2Pomc1pcr6v6ncszz/ImrDY1JxZ4BIjpv+GWLow/P/IofvRazUbkrTfCyYxA+pn1h14+adAi5IpxXjDWDlM0vyHxHduD9AtB79HvwTw/0EqOukWVJkl1VVZR7JsLSV7mY/llKkzxovxz3KXLP4kRFv22mxi7ss0xNxSycRGsUaxqgpUnf8PbqOmKWAXBIwAAAAASUVORK5CYII=\" alt=\"Q0\" style=\"width: 19px; height: 20px;\" width=\"19\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 118.633px 8px; transform-origin: 118.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a confined aquifer of transmissivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eT\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 8px; transform-origin: 8.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 38.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 19.45px; text-align: left; transform-origin: 384px 19.45px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s = (Q0/2piT) ln(R/r)\" style=\"width: 97px; height: 39px;\" width=\"97\" height=\"39\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.5px 8px; transform-origin: 45.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf the distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 310.4px 8px; transform-origin: 310.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is greater than the radius of influence, then the drawdown is zero. If multiple wells are pumping, the drawdown at the requested point is the sum of the drawdowns from the individual wells. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.892px 8px; transform-origin: 378.892px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBoundaries, such as no-flow and constant-head boundaries, can be modeled using the method of images, as described in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/57497-locate-image-wells\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 57497\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 317.433px 8px; transform-origin: 317.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Each real well will have a corresponding image, and the drawdown will be the sum of the drawdowns from all wells—real and image. Recall from the previous problem that for no-flow boundaries, the image wells pump in the same sense as the real wells, whereas for constant-head boundaries, the image wells pump in the opposite sense as the real wells. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 323.875px 8px; transform-origin: 323.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute steady-state drawdown in a confined aquifer. Input to the function will be the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 189.05px 8px; transform-origin: 189.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-coordinates of the points where drawdown is requested, the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 150.925px 8px; transform-origin: 150.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-coordinates of the real wells, the pumping rates and radii of influence of the wells, and the transmissivity of the aquifer. If a boundary is present, it will be specified by two pairs of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 257.883px 8px; transform-origin: 257.883px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-coordinates as well as a character string (‘NF’ for no-flow, ‘CH’ for constant-head). \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = drawdown(x,y,xw,yw,Q0,R,T,varargin)\r\n%  s = drawdown\r\n%  (x,y) = points where drawdown is requested\r\n%  (xw,yw) = coordinates of real wells\r\n%  Q0 = pumping rates\r\n%  R = radii of influence\r\n%  T = transmissivity\r\n%  varargin:\r\n%     (xb,yb) = coordinates of two points on the boundary\r\n%     btype = type of boundary ('NF' = no-flow, 'CH' = constant-head)\r\ns = (Q0/(2*pi*T)*ln(R/hypot(x-xw,y-yw);\r\nend","test_suite":"%%  Single well in an infinite aquifer\r\nx  = 50;                        %  x-coordinate of drawdown point (m)\r\ny  = 100;                       %  y-coordinate of drawdown point (m)\r\nxw = 0;                         %  x-coordinates of wells (m) \r\nyw = 0;                         %  y-coordinates of wells (m)\r\nQ0 = 800;                       %  Pumping rates (m3/d)\r\nR  = 910;                       %  Radius of influence (m)\r\nT  = 150;                       %  Transmissivity (m2/d)\r\ns  = drawdown(x,y,xw,yw,Q0,R,T);\r\ns_correct = 1.7797;             \r\nassert(all(abs(s-s_correct)\u003c1e-3))\r\n\r\n%%  Single well in an infinite aquifer, drawdown requested at multiple points\r\nx  = [50 400 93];               %  x-coordinate of drawdown point (m)\r\ny  = [100 818 45];              %  y-coordinate of drawdown point (m)\r\nxw = 0;                         %  x-coordinate of well (m) \r\nyw = 0;                         %  y-coordinate of well (m)\r\nQ0 = 800;                       %  Pumping rate (m3/d)\r\nR  = 910;                       %  Radius of influence (m)\r\nT  = 150;                       %  Transmissivity (m2/d)\r\ns  = drawdown(x,y,xw,yw,Q0,R,T);\r\ns_correct = [1.7797 0 1.8468];             \r\nassert(all(abs(s-s_correct)\u003c1e-3))\r\n\r\n%%  Single well in an infinite aquifer, drawdown requested at random points\r\nx  = 200*rand(1,8);             %  x-coordinate of drawdown point (m)\r\ny  = zeros(1,8);                %  y-coordinate of drawdown point (m)\r\nxw = 0;                         %  x-coordinate of well (m) \r\nyw = 0;                         %  y-coordinate of well (m)\r\nQ0 = 1200;                      %  Pumping rate (m3/d)\r\nR  = 450;                       %  Radius of influence (m)\r\nT  = 175;                       %  Transmissivity (m2/d)\r\ns  = drawdown(x,y,xw,yw,Q0,R,T);\r\nassert(all(abs(s(2:end)/s(1)-log(R./x(2:end))/log(R./x(1)))\u003c1e-3))\r\n\r\n%%  Three wells in an infinite aquifer\r\nx  = 0;                         %  x-coordinate of drawdown point (m)\r\ny  = 0;                         %  y-coordinate of drawdown point (m)\r\nxw = [150 200 -300];            %  x-coordinates of wells (m) \r\nyw = [200 -150 100];            %  y-coordinates of wells (m)\r\nQ0 = [1000 1500 2000];          %  Pumping rates (m3/d)\r\nR  = 450;                       %  Radius of influence (m)\r\nT  = 430;                       %  Transmissivity (m2/d)\r\ns  = drawdown(x,y,xw,yw,Q0,R,T);\r\ns_correct = 0.8050;             \r\nassert(all(abs(s-s_correct)\u003c1e-3))\r\n\r\n%%  Two extraction wells and one injection well in an infinite aquifer\r\nx  = [0 50 270];                %  x-coordinate of drawdown point (m)\r\ny  = [0 100 -180];              %  y-coordinate of drawdown point (m)\r\nxw = [150 200 -300];            %  x-coordinates of wells (m) \r\nyw = [200 -150 100];            %  y-coordinates of wells (m)\r\nQ0 = [1200 -500 800];           %  Pumping rates (m3/d)\r\nR  = [450 280 620];             %  Radius of influence (m)\r\nT  = 340;                       %  Transmissivity (m2/d)\r\ns  = drawdown(x,y,xw,yw,Q0,R,T);\r\ns_correct = [0.5558 0.8643 -0.2365];             \r\nassert(all(abs(s-s_correct)\u003c1e-3))\r\n\r\n%%  Well near a slanted boundary\r\nx  = 350;                       %  x-coordinate of drawdown point (m)\r\ny  = 100;                       %  y-coordinate of drawdown point (m)\r\nxw = 0;                         %  x-coordinate of well (m) \r\nyw = 0;                         %  y-coordinate of well (m)\r\nQ0 = 300;                       %  Pumping rate (m3/d)\r\nR  = 1000;                      %  Radius of influence (m)\r\nT  = 210;                       %  Transmissivity (m2/d)\r\nxb = [-550 1050];               %  x-coordinates of points on boundary (m)\r\nyb = [900 -50];                 %  y-coordinates of points on boundary (m)\r\nsNB  = drawdown(x,y,xw,yw,Q0,R,T);\r\nsNF  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'NF');\r\nsCH  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'CH');\r\nsNB_correct = 0.2298;\r\nsNF_correct = 0.2911;\r\nsCH_correct = 0.1684;             \r\nassert(all(abs(sNB-sNB_correct)\u003c1e-3))    \r\nassert(all(abs(sNF-sNF_correct)\u003c1e-3))    \r\nassert(all(abs(sCH-sCH_correct)\u003c1e-3))\r\n\r\n%%  Wells near a boundary parallel to the y-axis\r\nx  = [20 50 -320];               %  x-coordinate of drawdown point (m)\r\ny  = [30 46 -300];               %  y-coordinate of drawdown point (m)\r\nxw = [50 75 85 43];              %  x-coordinate of well (m) \r\nyw = [10 35 67 91];              %  y-coordinate of well (m)\r\nQ0 = [150 600 420 80];           %  Pumping rate (m3/d)\r\nR  = 670;                        %  Radius of influence (m)\r\nT  = 195;                        %  Transmissivity (m2/d)\r\nxb = [140 140];                  %  x-coordinates of points on boundary (m)\r\nyb = randi(1500,[1 2]);          %  y-coordinates of points on boundary (m)\r\nsNB  = drawdown(x,y,xw,yw,Q0,R,T);\r\nsNF  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'NF');\r\nsCH  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'CH');\r\nsNB_correct = [2.4837 3.0597 0.2509];\r\nsNF_correct = [3.7791 4.5365 0.3138];\r\nsCH_correct = [1.1884 1.5830 0.1880];             \r\nassert(all(abs(sNB-sNB_correct)\u003c1e-3))    \r\nassert(all(abs(sNF-sNF_correct)\u003c1e-3))    \r\nassert(all(abs(sCH-sCH_correct)\u003c1e-3))\r\n\r\n%%  Wells near a boundary parallel to the x-axis\r\nx  = [0 -20 -40 370];            %  x-coordinate of drawdown point (m)\r\ny  = [0 25 -40 90];              %  y-coordinate of drawdown point (m)\r\nxw = [-72 13 50 -20];            %  x-coordinate of well (m) \r\nyw = [14 28 0 -14];              %  y-coordinate of well (m)\r\nQ0 = [230 410 380 215];          %  Pumping rate (m3/d)\r\nR  = 450;                        %  Radius of influence (m)\r\nT  = 81;                         %  Transmissivity (m2/d)\r\nxb = randi(982,[1 2]);           %  x-coordinates of points on boundary (m)\r\nyb = [-43 -43];          %  y-coordinates of points on boundary (m)\r\nsNB  = drawdown(x,y,xw,yw,Q0,R,T);\r\nsNF  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'NF');\r\nsCH  = drawdown(x,y,xw,yw,Q0,R,T,xb,yb,'CH');\r\nsNB_correct = [5.8499 5.4446 4.4620 0.4481];\r\nsNF_correct = [9.4217 8.4800 8.7657 0.7035];\r\nsCH_correct = [2.2783 2.4091 0.1584 0.1927];             \r\nassert(all(abs(sNB-sNB_correct)\u003c1e-3))    \r\nassert(all(abs(sNF-sNF_correct)\u003c1e-3))    \r\nassert(all(abs(sCH-sCH_correct)\u003c1e-3))\r\n\r\n%%\r\nfiletext = fileread('drawdown.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":46909,"edited_by":46909,"edited_at":"2023-01-08T16:30:10.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":"2023-01-08T16:28:26.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-01-08T02:57:32.000Z","updated_at":"2026-02-12T14:29:49.000Z","published_at":"2023-01-08T02:58:04.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA well extracting water from a confined aquifer will lower the piezometric head and create a cone of depression. In steady state, if the distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to the point where the drawdown is wanted is smaller than the radius of influence \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, then the drawdown \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a well pumping at rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in a confined aquifer of transmissivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s = (Q0/2piT) ln(R/r)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es = \\\\frac{Q_0}{2\\\\pi T} \\\\ln\\\\left(\\\\frac{R}{r}\\\\right)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf the distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is greater than the radius of influence, then the drawdown is zero. If multiple wells are pumping, the drawdown at the requested point is the sum of the drawdowns from the individual wells. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBoundaries, such as no-flow and constant-head boundaries, can be modeled using the method of images, as described in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/57497-locate-image-wells\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 57497\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Each real well will have a corresponding image, and the drawdown will be the sum of the drawdowns from all wells—real and image. Recall from the previous problem that for no-flow boundaries, the image wells pump in the same sense as the real wells, whereas for constant-head boundaries, the image wells pump in the opposite sense as the real wells. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute steady-state drawdown in a confined aquifer. Input to the function will be the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e- and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-coordinates of the points where drawdown is requested, the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e- and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-coordinates of the real wells, the pumping rates and radii of influence of the wells, and the transmissivity of the aquifer. If a boundary is present, it will be specified by two pairs of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e- and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-coordinates as well as a character string (‘NF’ for no-flow, ‘CH’ for constant-head). \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59002,"title":"Compute piezometric head in a leaky confined aquifer","description":"Problem statement\r\nWrite a function to compute the piezometric head  in a leaky confined aquifer and the position of a groundwater divide  given the boundary heads  at  and  at  and head  (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are  and , and the hydraulic conductivity and thickness of the leaking confining layer are  and . If there is no groundwater divide, set xd to the empty set []. \r\nBackground\r\nAs in other problems in this series, the movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If  is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is , and the flow out of the right side is . If  is the specific discharge through the leaky confining layer, the flow into the volume through the top is . Then the mass (or volume) balance is\r\n\r\nRearranging, dividing by , and taking the limit as  goes to zero gives\r\n\r\nDarcy’s law allows the specific discharge through the aquifer to be written as  and the specific discharge through the leaky confining layer to be approximated as . Then \r\n\r\nOne can solve this second-order linear ordinary differential equation using the boundary heads to get the piezometric head in the aquifer. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 939.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 469.55px; transform-origin: 407px 469.55px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 153.9px 8px; transform-origin: 153.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211.233px 8px; transform-origin: 211.233px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a leaky confined aquifer and the position of a groundwater divide \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB4AAAAoCAYAAADpE0oSAAACJ0lEQVRYR+2WOy8FQRiGz/kFEh0lChIFiVtDSSJRiUupEJdKJEgoFQiFQuEShRKdRCT0EteagkJDRQg/wPuczCSze/bY3XNxJHaSJzPWzPd++11mTzpVppEuk24qEf61yCehTkJdsggkxVWy0PoN/7lQt8rDAdEl2sWLqHa8HtJ6XVSJSbEVN1S53nhehm5FvxgzRq3AhP5eE59G+FAzjsQaYaGulLVXY3FH8644Ep3iUXSLG/EWS1Wbw4SxdyfqBeH+EFPiLK6Qf38U4W0n3Lz1eKGinI8iTP72jdiw5oMYwqSqRdSIZkHtZNISRbhW+x6M2ILm5RjCnB0US+JeNNizUYQvtJmWYlyKjhjCbKUAT4UnTWHCqzpALz8Zz6NGyfUNG7PCk6afhPF0T9A65MnmuUdrqpow8jws53RFhbFDC2aGK2wLgb7EKP06YkTcfubyWBHnIqi1uPVmxLug/XjbrBS5wuSBt2R8CQrCLSTbz/yfnt7w/Z/ntF6fmBZEwtYHzs4Z25nJFba5CBJlL23FzcXwO8UzhHrFqFnzzAq3aX2dS9h9HndNf+KM/95+NoYaNXuu1bCqjuoAHwxGk7AFRK6vBIVIQXpGMYTtzeYvIELP5RH42SyGsK0NN8z20uAt60RW2xVDmO/zprA/FogAVW1/QCxqzV2ds6qj5jNon21FOuJEcKcfCy6OoLaL9JEoxKGcZ4sR6rwcS4TzCls+h/5fqL8BFMhkKfmmzHMAAAAASUVORK5CYII=\" width=\"15\" height=\"20\" alt=\"xd\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e given the boundary heads \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"h0\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"hL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.0667px 8px; transform-origin: 33.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 164.933px 8px; transform-origin: 164.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.125px 8px; transform-origin: 59.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the hydraulic conductivity and thickness of the leaking confining layer are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACYAAAAkCAYAAADl9UilAAACSklEQVRYR+2Wuy9EQRTGd3saKhoSGolG4ZFIFAoaKglCIlt5/AEk1IIQtUct8WhESUTt0RCNgoSGioY/wPfJnORkzNy5s+4mK7mTfNmZu2dmfvebmTO3WKjSUqxSrkIOFrsyuWP/ybFOwC5Dm9CZDR5aygF0GIGGoQar8xHat9Cqeb6O3z6oW8W9ob4HrUEfVv9DtEehXWgmFkzix1A5UJ2XFJAeU8cRnHFPnmX8NM/54tGOucDoQrvDAS7NBVRjgMRJF5e8AIEGXQGhpZQ+YjvbdIID6yJQdKHkcsCK30F7AnK6xdi0YK+IlT02h/q2mmgW9S3oCpqEfEun2Tjevc+ttGAtCHxUo7aayevwuw/xgGxArg1uGfXTFHf7Ub9xBaQFW0TgihngAb+9EGFPoFpo3nLQN5c853jN0K+TqDumWcpT4wr78Wg/G1BCTiW9tYeQYOehfmnAuKF50lh4IrnXCDUEpdlPIQed/4fAuB+uPSOP4zlPa0VKCIzZnHuIhafuDpo2bbrWVhEqDBoCu0SMXDFy8l7U0tqpIzPOJDCmg3c1EzM0M7V28QttnszMSxKYvvcI0ATJRawTLp1cyJosCYzXhuwn+06TbC889Qo6E8YkMO2K62tC7z/X/fknQB+YfQ11YRb7+uBVxOQrxRVTNpwPTC+V7zOHk2rXmE56yiaxOvrA9IQEa/RMqE8oQzJLHzYYnSpB+vOYE3LzH0PyucO4DojfVHJdCbsdW5aJoQRb1qBZdMrBYl3MHcsdi3UgNj7fY7GOfQPxAGwlAOQJGwAAAABJRU5ErkJggg==\" width=\"19\" height=\"18\" alt=\"K'\" style=\"width: 19px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"18\" alt=\"b'\" style=\"width: 15px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 118.625px 8px; transform-origin: 118.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If there is no groundwater divide, set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003exd\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the empty set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 126px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 63px; text-align: left; transform-origin: 384px 63px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58997\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eother\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eproblems\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ein\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56205\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ethis\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eseries\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 264.883px 8px; transform-origin: 264.883px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ev\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 97.2417px 8px; transform-origin: 97.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"27\" height=\"18\" alt=\"vbw\" style=\"width: 27px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112.008px 8px; transform-origin: 112.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the flow out of the right side is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"73\" height=\"18.5\" alt=\"(v+Deltav)bw\" style=\"width: 73px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 8px; transform-origin: 9.70833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14\" height=\"18\" alt=\"v'\" style=\"width: 14px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.825px 8px; transform-origin: 18.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the specific discharge through the leaky confining layer, the flow into the volume through the top is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"42.5\" height=\"18\" alt=\"v'wDeltax\" style=\"width: 42.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 62.6083px 8px; transform-origin: 62.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then the mass (or volume) balance is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"316.5\" height=\"18.5\" alt=\"0 = vbw - (v+Deltav)bw + v'wDeltax = -bwDeltav + v'wDeltax\" style=\"width: 316.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.425px 8px; transform-origin: 77.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eRearranging, dividing by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"38.5\" height=\"18\" style=\"width: 38.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.5083px 8px; transform-origin: 73.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and taking the limit as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21.5\" height=\"18\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.7333px 8px; transform-origin: 58.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e goes to zero gives\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"71\" height=\"35\" alt=\"dv/dx - v'/b = 0\" style=\"width: 71px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 238.317px 8px; transform-origin: 238.317px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDarcy’s law allows the specific discharge through the aquifer to be written as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"98.5\" height=\"18.5\" alt=\"v = -K(dh/dx)\" style=\"width: 98.5px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.8px 8px; transform-origin: 84.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the specific discharge through the leaky confining layer to be approximated as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOoAAAAlCAYAAABMKnUvAAAI4ElEQVR4Xu2cS+h9UxTH//85eY1I/MOAUhh4RAZKlMhA3pIir5Ik6m8gGSBMpLwykOQZBkoxQKQ8yzMGCIkREnPWp+7Ssp1z1lr7nnPuuf33qdXvcfdj7bXXd732PnfnjvY0CTQJLF4COxfPYWOwSaBJYEcDalOCJoEtkEAD6hZsUmNxURI4Q7j5XejDOblqQJ1T2rm59pfm1wjdnevWWq8kMBWgfpbxH5x7XxpQl6nXgPRVoRvmttzLFEcVV8jwGaGXhR6pGuH/nY6Xf30gdIDQbyONGRpmCqAioIeFPpnb6oRWvJlGGZnQ9l2hyxtIezcLwHwbAIvK8oGRwPqojLNL6MyAGh0ubZg/GiIP6sgUQL12BdSv5edRgQUtpQmCJdQ8R+jIgqn35e+3he5ZKQdrPE3oAtPuL/n9aaHHOzYnI5P3VnPdGhDMvdLmGCHCPPv8In88JfSC4YX1MeYlQnsVfOO97+/gO8DCLE2Q33GrtZ64mhGwvB6YHQB8IXTuCOv7U8a4RajLQyPfh4T2EVIeH5Pf0anIM6gjUwD1NeEKxblNaBvzKzb2VyPZ5+X364TKUMe2wygNecCoTADeZUIHRXbWtAHcqhzwcrYQHqfruVD++az54CL5/bnkfJtoDhDeETpQCKN4aMee9PG1e7U/6zgO5IYR9ubF6169YiQj20EdGRuoqrxY9KMTgtzExvfNWQL1BGlYhi8aUuF5+4Cs40dlQrsfhPos9pCMvpIPNQrwDKQF6rbtE4UcgIonjYSfVmb0JcqIRCpdslZjhvyGHowte8gTzWVdHRkbqKoEnrIsCZglLxqC8H+80ymFwVGQHiz/v0vIixqiMqn1phHDYtdoLX6Nwm9q7/Co36wmr9Ev5EtktHfFAtSIXiV9vehDjSbp0knBuVwdGRuoLOJUoW31psiVNWjuibe0FpQixhtC5CpXCEVypKhMGJMcN5rTqA5kPaT1vijuWBXRoE5WNyN8xTDyHCHUF9r3TaBAr1kzxvt2IS8lsUbzPmkf9d6ujowN1KFku3qHZu6o4RXT2k3VkAZwXp9QlIhMFGyZnEbFYj1kaVhK0ZXet0bhZ96Of6fTHK4ryonyxN5+LpQNm5n7+4ARtdFYtNgF766OjAlUvM2TQusk7FGBT9VOz8l0fBSZWyhURSnWYCW18hvhISoTBVs0p7Fz9xmWLv68sD6ypk21QZmpVnvGaIg/AHeyUCb8VU/cVaso59JoLJP7h3SkBCqdzhei5K9l5i4GNXyyuQKV3sOEtiWU6tpQG15huW8UenHVMJKflGNGZaJV26zhtHkbc3seciis3xQAI/NaA2qjDvaLSyEUmCKeVqMiT06Wp0zFuCx2sf83C+nxGQC+ScjmuSEd6VMMm/d0Je42z6nxAl2bA8NYvHWfmkKDzqnhFX8jVBSAJ2JN1+Ebb/GlULT4oHNlPaT1vjVh9jprXKdvWUllLKIcnk+F9DjEywt1nExYiq4TKXpFQ2tMSJl44Ie6A489v07LfsiC66Z2hRp6iPyHMFBWRWs3ZAlA1fCqXEPm4Lpm/X9Lp0yVUOewHjI771gGNjtvTXuNOJDRWULc3AI8pAz7CWk12AOq6li0oKTgi3hgG43BBxdn7Hm21e90tX0IqKoEfTeMsDTc1slWKWs2ao4+VpAcqHMWxlVIfaZU7FqgWsNCJPHxgKCulM+0mr1tt8aQDw8AIC3Di2pF1QLE81S6xx6gVYyZK4NqTNCdnwqQ6ni6jrT8h4A6dHBLbsRd3mOFsmXyOUBXM4ddr3o3e+NnnSKGx08NUMvCl2dIbFgfVdQuvq2cvHX1fZ5JT2waxh7sK3SxkN4Us+vyZJAFKlHlnUJe3aWspvcZDAVqOnoaAqoVUOn6o+Xq2o3cRD+bd6sil+H4VLlqDVCtJ4lsvCoJss3kaOVezA1Ue/xE3YBzeuscNKqIyCBzDBa9Moh8LFb6wlqrS2lDOQRUO7C1EDB1h9BYuekmQFnOWVpEq8g2D4woQ816sNw/CmWKSdbbextfhvXefdWaNUzVxxrQ0lPZqMKTAfxliknRK4OMa3Wkz5hbgxPJef8jzyGgdpXEx3wTodzYTRaThm73lEcgXh5Uo7A1xzMZD2mVZCpjU7Nur4+VvRaS7MsRNqqIRDsKVC9EzlwZZA1aeO3ikc91vOpzYO/cTpWBKhn5AdW2sd7tWxJQrUXsCl1suEf45V0l8xSw/Dx7vpf1kJlL+1nep2xvj5+6KrXZ20oYxEMC+8e8eOjIxYjIHWQ1lN6bTb2yjAKV44ldQm8JeedJU27cVGPb88WuQoe1iPCQKYZEeNboJeqtMxfrs5f2I/zO1UYNaN9rbZqfatgLwL4T6ruDTXvOX703YDI1GM+ra7TGGs4b4G1QplGgMkgkB5hrA8ecpwxt+0Io61Wz70NG+MVY8L6lp0SMlfGQ1itlrrZFeJ66TXnTx85nUzP2jPNUKrScs3Z9TYpGIV4hTQ1bJJSGn6Gqs77EQbtqkNI5ClTvncupN2zK8csqZl+iX+bQYx/X6GtYXqGn5GPo8N6+N4sM0+d3UwreGdsCsSuCsZ6MvUBulwr1HRfqGype2qLXEr12yr49y7a5b+1LHJ1i8YAavT61wf2snhqFt5cAdCCU+RUhPVCn3elCfPOCXinsa1vNjHT0Xhwf+ioVrqmhGKqk+rUyXTxT8OCiSvQVrHXWtE5fC8Qu46nHJ1qgAcx9IM0Uh7I6r/vCTSQeqvfck/9M6CUhe6+3Wh4eUKsHbh2rJJA5u6uaYA/tRE7PjSbv+EvToPTxydRybUCdWsL58TPnd/nR97weRES8AeWlFEgmCujZpdiAOrvIQxNyjPCEkHd1LTTYHtwoe+4fvTI4u0gbUGcXeXhCPOubDaxheZUNAWnmS8y1SOddhqhmaJ2ODajrSG/6vuSsoxQjpmd1cTMAvI+Eot9ov+iUowF1cfrVGNqQBDhmqfkWj1nYbUCdRcxtki2QAMdBi71114C6BRrUWGwSaEBtOtAksAUSaEDdgk1qLDYJ/AOyAV1EBeEILQAAAABJRU5ErkJggg==\" width=\"117\" height=\"18.5\" alt=\"v' = K'(H-h)/b'\" style=\"width: 117px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.775px 8px; transform-origin: 21.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"152\" height=\"36.5\" alt=\"K d2h/dx2 + (K'/(bb'))(H-h) = 0\" style=\"width: 152px; height: 36.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.5083px 8px; transform-origin: 59.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOne can solve this \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/51387\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003esecond-order linear ordinary differential equation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 170.767px 8px; transform-origin: 170.767px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e using the boundary heads to get the piezometric head in the aquifer. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 376.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 188.35px; text-align: left; transform-origin: 384px 188.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"581\" height=\"371\" style=\"vertical-align: baseline;width: 581px;height: 371px\" src=\"data:image/png;base64,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\" alt=\"leaky confined aquifer\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H)\r\n  h = H + (hL-h0*(x/L)*sin(Kp*x^2/(Kp*b*bp));\r\n  xd = x\r\nend","test_suite":"%%\r\nL = 3300;                                     %  Length (m)    \r\nx = 1000;                                     %  Position where head is desired (m)\r\nh0 = 32;                                      %  Piezometric head at x = 0 (m)\r\nhL = 29;                                      %  Piezometric head at x = L (m)\r\nH = 39;                                       %  Head in unconfined aquifer (m)\r\nK = 12;                                       %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 8e-5;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15;                                       %  Thickness of aquifer (m)\r\nbp = 2;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = 32.7897;\r\nxd_correct = 1060.65;\r\nassert(abs(h-h_correct)\u003c1e-3)\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 3300;                                     %  Length (m)    \r\nx = 700:700:2800;                             %  Position where head is desired (m)\r\nh0 = 32;                                      %  Piezometric head at x = 0 (m)\r\nhL = 29;                                      %  Piezometric head at x = L (m)\r\nH = 39;                                       %  Head in unconfined aquifer (m)\r\nK = 12;                                       %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 3e-4;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15;                                       %  Thickness of aquifer (m)\r\nbp = 2;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [34.6548 35.4741 34.8040 32.3615];\r\nxd_correct = 1433.93;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 2500;                                     %  Length (m)    \r\nx = 0:500:2500;                               %  Position where head is desired (m)\r\nh0 = 45;                                      %  Piezometric head at x = 0 (m)\r\nhL = 42;                                      %  Piezometric head at x = L (m)\r\nH = 50;                                       %  Head in unconfined aquifer (m)\r\nK = 4;                                        %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-5;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 30;                                       %  Thickness of aquifer (m)\r\nbp = 3;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [45 44.5664 44.0573 43.4656 42.7830 42];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 2500;                                     %  Length (m)    \r\nx = 0:500:2500;                               %  Position where head is desired (m)\r\nh0 = 45;                                      %  Piezometric head at x = 0 (m)\r\nhL = 42;                                      %  Piezometric head at x = L (m)\r\nH = 50;                                       %  Head in unconfined aquifer (m)\r\nK = 4;                                        %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-4;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 30;                                       %  Thickness of aquifer (m)\r\nbp = 3;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [45 45.6796 45.7522 45.2279 44.0331 42];\r\nxd_correct = 811.72;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 3300;                                     %  Length (m)    \r\nx = 700:700:2900;                             %  Position where head is desired (m)\r\nh0 = 32;                                      %  Piezometric head at x = 0 (m)\r\nhL = 29;                                      %  Piezometric head at x = L (m)\r\nH = 39;                                       %  Head in unconfined aquifer (m)\r\nK = 12;                                       %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 3e-4;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 15;                                       %  Thickness of aquifer (m)\r\nbp = 2;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [34.6548 35.4741 34.8040 32.3615];\r\nxd_correct = 1433.93;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nL = 1000;                                     %  Length (m)    \r\nx = [130 280 390 560 710 940];                %  Position where head is desired (m)\r\nh0 = 34;                                      %  Piezometric head at x = 0 (m)\r\nhL = 33;                                      %  Piezometric head at x = L (m)\r\nH = 38;                                       %  Head in unconfined aquifer (m)\r\nK = 0.5;                                      %  Hydraulic conductivity of aquifer (m/d)\r\nKp = 2e-4;                                    %  Hydraulic conductivity of leaky confining layer (m/d)\r\nb = 24;                                       %  Thickness of aquifer (m)\r\nbp = 1;                                       %  Thickness of leaky confining layer (m)\r\n[h,xd] = leakyConfAq(x,L,h0,hL,K,b,Kp,bp,H);\r\nh_correct = [35.5547 36.4902 36.7941 36.7832 36.2740 34.0536];\r\nxd_correct = 471.73;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-2)\r\n\r\n%%\r\nfiletext = fileread('leakyConfAq.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-23T13:55:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-23T13:48:39.000Z","updated_at":"2026-02-12T13:57:58.000Z","published_at":"2023-09-23T13:51:50.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in a leaky confined aquifer and the position of a groundwater divide \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xd\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_d\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e given the boundary heads \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (assumed constant) in the unconfined aquifer above the leaky confining layer. The hydraulic conductivity and thickness of the aquifer are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the hydraulic conductivity and thickness of the leaking confining layer are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If there is no groundwater divide, set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exd\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to the empty set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58997\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eother\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eproblems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ein\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56205\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethis\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eseries\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. For steady, one-dimensional flow, conservation of mass applied to the control volume indicated by the dashed line says that the flow into the volume equals the flow out of the volume. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the specific discharge in the aquifer, or the flow per unit area, the flow into the left side is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"vbw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003evbw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the flow out of the right side is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(v+Deltav)bw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(v+\\\\Delta v)bw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the specific discharge through the leaky confining layer, the flow into the volume through the top is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v'wDeltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime w\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then the mass (or volume) balance is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"0 = vbw - (v+Deltav)bw + v'wDeltax = -bwDeltav + v'wDeltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e0 = vbw - (v+\\\\Delta v)bw+v\\\\prime w\\\\Delta x = -bw\\\\Delta v+v\\\\prime w\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRearranging, dividing by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ebw\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and taking the limit as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e goes to zero gives\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dv/dx - v'/b = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{dv}{dx}-\\\\frac{v\\\\prime}{b} = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDarcy’s law allows the specific discharge through the aquifer to be written as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = -K(dh/dx)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = -K(dh/dx)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and the specific discharge through the leaky confining layer to be approximated as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v' = K'(H-h)/b'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\\\\prime = K\\\\prime(H-h)/b\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K d2h/dx2 + (K'/(bb'))(H-h) = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\\\\frac{d^2h}{dx^2} + \\\\frac{K\\\\prime}{bb\\\\prime}(H-h) = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOne can solve this \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/51387\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esecond-order linear ordinary differential equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e using the boundary heads to get the piezometric head in the aquifer. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"371\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"581\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"leaky confined aquifer\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59104,"title":"Design a capture zone","description":"One approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \r\nIf the background flow (with flow per unit width* ) is left to right, then the coordinates  of a point on the capture zone are given by , where the well is at (0,0) and  is the distance to the stagnation point downstream of the well. The distance  can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \r\nWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \r\n*Recall that specific discharge  is flow per area over which the flow is occurring. Then flow per unit width is , where  is the thickness of the confined aquifer. \r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 777.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 388.85px; transform-origin: 407px 388.85px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 360.567px 8px; transform-origin: 360.567px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOne approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 87px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 43.5px; text-align: left; transform-origin: 384px 43.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147.808px 8px; transform-origin: 147.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf the background flow (with flow per unit width* \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" alt=\"Q'\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.175px 8px; transform-origin: 113.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) is left to right, then the coordinates \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43\" height=\"20\" alt=\"(xc, yc)\" style=\"width: 43px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3417px 8px; transform-origin: 79.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a point on the capture zone are given by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"115\" height=\"20\" alt=\"xc = yc/tan(yc/x0)\" style=\"width: 115px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.2917px 8px; transform-origin: 95.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where the well is at (0,0) and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x0\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 166.658px 8px; transform-origin: 166.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the distance to the stagnation point downstream of the well. The distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAAoCAYAAAACJPERAAAB90lEQVRYR+2WvS8EQRjG7/4FKgoKDVFofDWUVCrxUap8VCqCSoVQKBQ+orgSnajoJRxqChIqFYnQ83uSmcvc3e7t7N3KSewkv8ze7cz7zDzzvnOXzdShZeugmUlFf9X11N7U3kQcSBMpERvDgvwpe3tY5RgMQh+8QrOz8gmet6EJ5mAvjjVhO10myB2MwrQJaIPP8nkLPo3oCb0W4d2i7G0g0puJdkB/CKcwAE8wBLfw7q3IwChRxbqHdpDFHzAPF3FESsf6iO47Fmu3M7UIaq6PqM7ryAhN0h9XEN3kXRc8g5JwNWi8j2gbEx+N0Ar9eojoFd+3gD1vVUAeyub4iCqYykbtGvoDRJXRu6CsXnTen/OsZGuEQrJFicou2fQC4yZY0BybbKX2a/5C6WIqiWqFOWNXN70912Gelb2yXd/rjL/Ngop2ZHap3T5Ah3XAFVVNKojqTgFVj1NGwK1XWbgBl6DyUVNgtTBRvStouaLWfw34gjVwk8ZaqPeq2R3zXo74iBYW5Ipa/4MEJaTS0Y2k5i6oJlETL3ZnSyPK3sCdxlZzJlSdSLWI2lq2mW1j2SMruj6j6tR3IVGXQy+BbmywpEQVT7vthFbQ7WPPuuxHIklR1fISjMAZ6CbLQdm/iiRFfY/C66fNO5jvwHSnvk5VNe7/2PsDNEBoKTeYqJQAAAAASUVORK5CYII=\" width=\"14.5\" height=\"20\" alt=\"x0\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 302.633px 8px; transform-origin: 302.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 377.958px 8px; transform-origin: 377.958px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.3083px 8px; transform-origin: 95.3083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e*Recall that specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ev\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 235.325px 8px; transform-origin: 235.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is flow per area over which the flow is occurring. Then flow per unit width is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"51\" height=\"18\" alt=\"Q' = vb\" style=\"width: 51px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.0583px 8px; transform-origin: 23.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 124.458px 8px; transform-origin: 124.458px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the thickness of the confined aquifer. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 477.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 238.85px; text-align: left; transform-origin: 384px 238.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"620\" height=\"472\" style=\"vertical-align: baseline;width: 620px;height: 472px\" src=\"data:image/png;base64,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\" alt=\"Capture zone\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Q0 = captureZone(x,y,Qp)\r\n% x,y = coordinates of contaminated area\r\n% Qp  = background flow per unit width\r\n% Q0  = required pumping rate\r\n  Q0 = Qp*max(abs(y));\r\nend","test_suite":"%% \r\nx  = -100;                                      %  x-coordinate of contaminated area (m)\r\ny  = 75;                                        %  y-coordinate of contaminated area (m)\r\nQp = 2;                                         %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 377.3;                             %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx  = [-100 -100 -300 -300];                     %  x-coordinates of contaminated area (m)\r\ny  = [75 -75 -75 75];                           %  y-coordinates of contaminated area (m)\r\nQp = 2;                                         %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 377.3;                             %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx  = [-100 -100 -200 -300 -300 -200];           %  x-coordinates of contaminated area (m)\r\ny  = [75 -75 -100 -75 75 100];                  %  y-coordinates of contaminated area (m)\r\nQp = 2;                                         %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 469.3;                             %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2021 exam 2 problem 5\r\nx  = [-47.1 -48.9 22.4];                        %  x-coordinates of contaminated area (m)\r\ny  = [10 -10 -30];                              %  y-coordinates of contaminated area (m)    \r\nQp = 0.048;                                     %  Background flow per unit width (m2/d)    \r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 9.73;                              %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2022 exam 2 problem 3\r\nx  = -18.5;                                     %  x-coordinate of contaminated area (m)\r\ny  = -25;                                       %  y-coordinate of contaminated area (m)\r\nQp = 0.45;                                      %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 32;                                %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2a problem 5\r\nx  = -25;                                       %  x-coordinate of contaminated area (m)\r\ny  = 60;                                        %  y-coordinate of contaminated area (m)    \r\nQp = 0.231;                                     %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 44.3;                              %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2b problem 5\r\nx  = -10;                                       %  x-coordinate of contaminated area (m)\r\ny  = 20;                                        %  y-coordinate of contaminated area (m)    \r\nQp = 0.231;                                     %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 14.27;                             %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% Fall 2020 exam 2c problem 5\r\nx  = -25;                                       %  x-coordinate of contaminated area (m)\r\ny  = 20;                                        %  y-coordinate of contaminated area (m)    \r\nQp = 0.231;                                     %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 11.77;                             %  Pumping rate (m3/d)    \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx  = [15 -50 -100 -45];                         %  x-coordinates of contaminated area (m)\r\ny  = [20 40 32 5];                              %  y-coordinates of contaminated area (m)\r\nQp = 0.3;                                       %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 40.65;                             %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%% \r\nx  = [15 -50 -100 -45];                         %  x-coordinates of contaminated area (m)\r\ny  = [20 53 32 5];                              %  y-coordinates of contaminated area (m)\r\nQp = 0.3;                                       %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 42.93;                             %  Pumping rate (m3/d)    \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx  = 200;                                       %  x-coordinate of contaminated area (m)\r\ny  = 0;                                         %  y-coordinate of contaminated area (m)    \r\nQp = 3.6;                                       %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 4523.9;                            %  Pumping rate (m3/d)\r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx  = [200 110   0 -100 -175 -220 -160  -80   40];      %  x-coordinates of contaminated area (m)\r\ny  = [  0 125 300  320  180   40 -195 -280 -250];      %  y-coordinates of contaminated area (m) \r\nQp = 0.5;                                              %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 628.3;                                    %  Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nx  = [200 110   0 -100 -175 -220 -160  -80  100];      %  x-coordinates of contaminated area (m)\r\ny  = [  0 125 300  320  180   40 -195 -280 -250];      %  y-coordinates of contaminated area (m) \r\nQp = 0.5;                                              %  Background flow per unit width (m2/d)\r\nQ0 = captureZone(x,y,Qp);\r\nQ0_correct = 659.8;                                    %  Pumping rate (m3/d) \r\nassert(abs(Q0-Q0_correct)/Q0_correct\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('captureZone.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-30T14:16:43.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-14T20:07:58.000Z","updated_at":"2026-02-12T14:46:59.000Z","published_at":"2023-10-14T20:08:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOne approach to remediating a contaminated site is to pump and treat the contaminated groundwater. If the site has background flow, then an extraction well will create a capture zone. In other words, there will be a streamline that divides the water pumped by the well from the water that continues downgradient (i.e., downstream) of the well. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf the background flow (with flow per unit width* \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q'\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\\\\prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) is left to right, then the coordinates \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(xc, yc)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(x_c,y_c)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a point on the capture zone are given by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xc = yc/tan(yc/x0)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_c = y_c/\\\\tan(y_c/x_0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where the well is at (0,0) and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the distance to the stagnation point downstream of the well. The distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be determined by finding the distance at which the specific discharge of the background flow equals the specific discharge of the well. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes the coordinates of a contaminated area and the background flow per unit width and determines the pumping rate needed to capture the entire area. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e*Recall that specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is flow per area over which the flow is occurring. Then flow per unit width is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q' = vb\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\\\\prime = vb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the thickness of the confined aquifer. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"472\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"620\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Capture zone\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAzsAAAJ1CAYAAAD+Cu6HAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsIAAA7CARUoSoAAAKr6SURBVHhe7d0JvEzlH8fxn6xlKaSFFioVUkr7SqWNirKEEv3TppRWaVMSadOOFtpJWVqF0r6oaKVSUUpF1uzb/Of7POcwxsw197qXWT7v1+uYM2fOzL33OHPO8z3PcopFogwAAAAAsswWwSMAAAAAZBXCDgAAAICsRNgBAAAAkJUIOwAAAACyEmEHAAAAQFYi7AAAAADISoQdAAAAAFmJsAMAAAAgKxF2AAAAAGQlwg4AAACArETYAQAAAJCVCDsAAAAAshJhBwAAAEBWIuwAAAAAyEqEHQAAAABZibADAAAAICsRdgAAAABkJcIOAAAAgKxE2AEAAACQlQg7AAAAALISYQcAAABAViLsAAAAAMhKhB0AAAAAWYmwkw8rV650U6qWLVsWzKUuvz8DAAAAQGLFIlHBPPLw22+/WdeuXa1t27bWpEmTYOn6Fi1aZC+99JJ99NFH9u+//9o222xjhx56qLVo0cIqVqwYrLW+Tz75xF599VX7+eefrVixYlazZk1r1qyZ1a9fP1gDAAAAQH4QdlKwZMkS69y5sz3xxBPWr18/u+CCC4JX1qVwc9VVV7nQUqFCBatRo4YLSXPmzLEGDRrYfffd55bF0+f26tXL5s6d60LOqlWrbMqUKbb99tvbjTfeaOecc06wJgAAAIBU0YxtAxRArr32WnvjjTds2223tVKlSgWvrEtNz3r06GHDhg2zxo0b2yuvvGIvv/yye1StzjvvvGM333yzC06xxo4da7fddpv7XAWp4cOHu+nee+91n9m9e3f7+OOPg7UBAAAApIqwk4fx48dbhw4d7LnnnrMtt9zSNS9L5ssvv7ShQ4davXr1rE+fPrbvvvtapUqVbJ999rG77rrLjjnmGBeYxo0bF7zDbPny5fb444/bggULXKBSKNpxxx1tp512svPOO8+uvvpqVys0YMAAW716dfAuAAAAAKkg7CSgZmSqbVH4+OCDD6xdu3YurMTXysQaNWqUe71Ro0YusMRSvx31v1FNzZgxYyxsOfj999/b119/7ZqunXLKKW5ZrDPPPNM1e5swYYL9+OOPwVIAAAAAqSDsJKDQokEG1GfmoYcecn1tFGBUE5PMxIkTXe3PfvvtFyxZV+3atW2HHXawL774whYvXuyW/fTTT/bHH3+496gWKJ6WqaZo+vTpLhgBAAAASB1hJ4EtttjC9a8ZOXKktW7d2jVf0zDSyZqxaWCC2bNnu3431apVC5auq0qVKlauXDm37vz5892y33//3dX2KASVKFHCLYulZdttt50LR3///XewFAAAAEAqGI0tRddcc42r5Xn00Uetffv2wVLv119/daFI/WvUJ0d9buIpDJ122mn2zz//2IsvvmgHHHCA3XTTTa4/j/r4aLS3RO6880679dZbXf8dNa3Ly4oVK2zevHlrmskhdQqq2m7ahsi/0qVLu+af3COqYMqUKeP2PW1D5J+2n2re6dtYMGqVsHTpUs4dBaTtl1czdySni8j6/rL98k/f17Jly7oL6cgbYSdFeYUdDRPdpk0bV2Pz3nvvrddnR3QiPvHEE91Q1EOGDLGDDjrIunXr5kZdu/vuu+3SSy8N1lzXww8/7Iaz1tSzZ89gaWL6rF9++cXVIiF/ZsyY4Wr0VMuG/FMt5VZbbeVGLET+6YJJ5cqVbeuttw6WID90DFatuvZB5J/6hKp/aLLRRpGcilDafnvuuac7hyB/dIFM5Za99torWIJU6eLYn3/+6S6a6/yBPCjsYMOuvvrqSJkyZSIDBw4Mlqz1008/RQ488MBIzZo1I9FCc7B0XdGwE2nQoEEkekKJjB8/3i27/vrrI6VLl448+OCD7nki0bDj1okGo2BJcrfddlskWmgKniE/Bg8eHBk+fHjwDPk1YMCAyLhx44JnyK9777038tVXXwXPkF89evSITJs2LXiG/Lrpppsic+fODZ4hv3R+jhbag2fIj0WLFkVuvPHG4BnyS+W+n3/+OXiGZLgMUQiKFy/uqmKj2zNpM4roF9o1U9F64dUfvU/0vmT0vtj35EV9fGhGVDD6P8jr/wEbRhOigtN3nCZsBafjI8e+gtP2owlvwWi/Y/sVnLZbKuUbJKZtx/bbMLZQIShfvryr/tdBT31zEtFytUnVehrlTfQ+FXLUzyYZvU+FcJqmAQAAAPlD2CkECiIVK1Z0/XKSjZo2d+5cN6qa1tN9d0QDGSiRz5w5M2Gtgq70atADdf6mLwkAAACQP4SdQlKnTh03ms2kSZOCJevSPXUUaurWretGbhF1CFWI0T10FixY4JbF0oAH3333nVWtWtX22GOPYCmKgoYW14SC0b5PM46CU60vzbAKTheSaAZYcGouTTPUgtP2oxl0wWi7afsBRYmwU0hOOOEE1wdn1KhR6zVLUyH69ddfd4XB4447bk1fHd1MdJ999rFvvvnG3n33Xbcs1ujRo90oL1pHYQpF55BDDrH69esHz5BfxxxzjNWqVSt4hvzS8WPXXXcNniG/mjRp4u5JhoJp2rSpa1aN/FPrjDPOOMNKliwZLEF+6OJvs2bNgmdA0SDsFJJDDz3UFVg+/vhjd/8cDcWrK40a0rhHjx725ptvWoMGDaxRo0bBO8wNk9q2bVsXfm6//XYbO3asu8Krqxxav3fv3m78eQ11raZsKDp777231axZM3iG/Np3331tl112CZ4hvxS0w758yD8df8Pmwci/I444gmG7C0hh58gjj0x4Y3BsmMo22v+AokTYSZGaSaipTrKmTjpR3HzzzXbwwQfbU089Zaeeeqq1aNHCPT7wwAPuqnf37t1dn51YuiJ08cUXu3DUrl0791xThw4d3A1Iu3TpYieffHKwNgAAAIBUFY8WwLsH88iDmqbpTrWqvalevXqwdF26qZOaqVWoUMHd0VbVs+pvo9qcW265JWFTNF0VUo2P+u9off0M3ViwXr161rlzZzvvvPPciG2p+PDDD6127drcXAoAACDLffDBB64vePyFdKyrWIRedVmjV69e1rx5c5pjAQAAZLmePXtamzZt3AVzJEczNgAAAABZibADAAAAICsRdgAAAABkJcIOAAAAgKxE2AEAAACQlQg7AAAAALISYQcAAABAViLsAAAAAMhKhB0AAAAAWYmwAwAAACArEXYAAAAAZCXCDgAAAICsRNgBAAAAkJUIOwAAAACyEmEHAAAAQFYi7AAAAADISoQdAAAAAFmJsAMAAAAgKxF2AAAAAGQlwk4WKV58iVWsuCp4BgAAAOS2YpGoYB4Z7pprPraZM/e2XXetZBUq+GVbbeUn/S9vvXX0P7yYWenSZuXLm61e7ZeVKOHny5Xzr20RjcBaLprXJHpvOF+8uH8EAADAptezZ09r06aN1ahRI1iCRAg7WaRVK7MXXwye5EFBRQFHSpZcG2C0TPMKNVouW25pVras2apVPggpRGmP0aPW0XsUjBSWFKDKlPHv32Yb/yia1+fq/QpUos/V76EpDGNaps/UZ5Uq5dcXvR7+TlpH6+rzwt8RAAAg1xB2UkPYySJnnbXCRowoHg0LW7hAoEkhJd2FASY27CjoKDiJwo7CjYKV5vV6GJK0TO8ThS29T3+zApomfa7CltbX+xTSFKTCsKZ1w5Cm9bVu+Lmi92k9PYa/AwAAwOZG2EkNYSeLXH/9k7b//sdblSq7rAk6CxaYrVjhH1U7ogL//Pl+/SVLzBYt8oX4efP8a1p38WK/rt6/cKGf17rLlvn3aZksXeonvV/vCz9Lj3qeKXuWfmeFmXBSuFFtlX5/BZ8wACkkaXlYu6VwpJCk17RctVaa9JqWaz4McJrX+qLXFMo0hUENAAAgPwg7qSHsZJE77+xhbdu2sp122jNYsvEUgBR2FHQUYCQMQ8uX+ykMRgpECg561HO9V2FIFJC0XGFCj//9598Xhix9vgKZ3q8wtnKln/S61tM6mhf9fAUq0c8P92DNaz09D4OZPiP8vcPHTUW1QAo0+psVasJgo9CkSSFIQUnrVKzoX9M6mldtk15X0NIkWldT7Dr6HG0f/YzwM7UNw5+heQAAkH0IO6kh7GSRXr16WfPmza1mzZrBkuwV7rUKSAo0KtQrQCnQKPCENVkKRWHg0jJR2NJyBQStr+WaFND0Gfo8PWrSZ4Xr6D16TcFNy/S6gtfmor9ZtUz6OxWYNK8aJAUezSsMKXCFwSn2uV7X+8Plel/4Wrhe7DI9hs0KAQDA5kfYSQ1hJ4vkUtjZFBRs9O1Q4FFgUs2RAlH4qNojTXp97ly/vmqfNGlek5aHNVV6VEjSMq2jz9Dnhp8fzmtSINNnax29t6gp+Cj8hc3rwvnwUa/rUbVMCj6aVLuk5nuaD2ugFJ60LPZRyxWU9BnhY+xnxy4DAACpIeykhrCTRQg7mUfBSWFGtUaqPdK8Ao5qjzTpeeyjapP0GDYlDGulwiZ84fOw5knvi18nbBa4KYUBKawtCh/Vj0m1TOEyBaAwRIW1TJpX0z2Fou239+tpud6n1xSU9DdpAgAgVxB2UkPYySKEHSjQKOgozMQ+arkCkoJSGJJUw6TaIx0BVNMU1jyFYSlcR+9TrZPep0c91+eJ5lULpVCl1/RYlEFKfZZUW6RaID2GwUfPw35MVar42iT1WVIY2mEHvzzs7xQ7KUCFjwAAZBLCTmoIO1mEsIOipmCjwBSGHdVIhX2ZFHz0GK6j5apdUkjScwUqraPnClaa9DlaR+Fqzhw/6TN0VAqDW2EeoRRsVJukKRzwIXyuqXJlH3w0H9YuqTZJ4SmsjapWza+jedVEhY/ULAEANiXCTmoIO1mEsINMohogTWq2p0eFHIWbsI/TzJm+dkm1T3/95edVe6Tg9PffaweaUIDSpPfptTB46bXCojCjmiQFmrCfkcJQ2JROj7FTpUpm223nw5Teq2UKTprXawpTYe0UfZUAAAVB2EkNYSeLEHaQixSGFIJUQ6SAo/CkIKTwo+dheJoxY22tk8KS1tdr4aSgpSmsUdK6hSXsk6T+RWpupxqmMOzouUKRao/C2iTVMCksKRxpmZrmadL6eq8eaXoHALmNsJMawk4WIewA+RPWLmlS+FHtkSYFItUsKSwpTGmZApKea1IY0usKVnpNfZvC1/Q5hU1hSbVBqiFSs7qweZ0C1M47+0Ckeb2u8KSgpEe9RzVJAIDsQ9hJDWEnixB2gE1HNUAKSWEzurCGSZP6Hul52FdJNUdqiqfXFIi07M8//TqxU/h5G1OrpIEZFHoUflR7FNYUKfxosIbYMKTzowKR3hMO4KD1VXMEAEhvhJ3UEHayCGEHyCxhzZBCkWqE9FxBSeFIyzTpdS1TQPr3X//a7Nl++R9/FE5zOwUchR/VAikQhX2MdtzR1xppuZrZKTTp+bbbmlWt6pvlAQA2D8JOagg7WYSwA2Q/1QAp4IQj2YXhSJMC0W+/rb2ZrcKQapIUmsLHjak5CvsaqRZINUd6rvCjgKRmdWpSp+XqX6SgpH5FCk56VHjSI32NAKBwEHZSQ9jJIoQdAPHUNC5sSqdHBR4FJPVB0nMN3qB51RqpaV34etgnSaGqoNQcTrVBCkDhKHRqQqdJIUghaaedfDDSMj3XoAxqVgcAyBthJzWEnSxC2AGwMVTjEwYcNZNTQFIQCh9VkzR9uh/ZTv2PtJ4Ck2qS9Bguyw8N5x3WGCkYKQQpAKmWaJdd/KQmdApKaj6ndfRIEzoAuY6wkxrCThYh7ADYlMJao9iwo8dZs9YNSv/84x+nTfOPGs1O66pJXqo0Ip1CTjipqZxqixSMdt3V1wzphq9qTqeaITWX4x5GALIZYSc1hJ0sQtgBkK7ia4zUTE5hSAFII9VpUs2RwpKWh4EpPxRwVEukMKQQpEk1Qaol0jKFI4UhBSX1NdKgDACQqQg7qSHsZBHCDoBMp4EUwkEX1I9II88p+Gjghd9/989/+cUHp/C+RvlpOqeQEzaLC0efUxiKrRnabTcfnNSkThMApCPCTmoIO1mEsAMgF6j5m0KOaoc0qIKaySkYKQxpuWqG1K9IwUivqclcfmhABY0ep+ZxOpyqdkjzCkMKQqoR0iMAbE6EndQQdrIIYQcA/Ahzai6nYbYVflQzpH5Fqh0Ka4g00IIGZFDtUDhUt5rabYhqhTT0tprCqUZor738o8KQyhuqOQonBlEAUJQIO6kh7GQRwg4ApE41ROojpP5CqgFSbVBYW6RJz3/6KfUgpEEUNIy2msLpUYdiNZVTjZBGldt9d7+cobUBFAbCTmoIO1mEsAMAhUMjzalmSEFHzeEUflQrNHmy2a+/+tqi8H5EqQykoJHhVNujgRKqVvXhZ++9fXM4BSA1jVNtkV4HgFQQdlJD2MkihJ2NpNIN7U4ApECDIijwqPZHk5rFqZbohx98GFJNkV5XYNpQrZAOOwo6GiwhrAVSINJocrVq+VCkpnNFViOkX1B3cwWQUQg7qSHsZBHCTgGoVDJ8uNk33/iG+7rMetxxZqeeGqwAAPmj5nEKQ6r1mTrVjx6n+UmT/EAKCkY63GjZhmhUOI0UpyZwBxzg+wWFNUNapj5EBaKbHb38stm77/pOTOp4dPzxZqec4oeqA5D2CDupIexkEcJOPn3wgVnHjmY//hgsCOiW7ldeadajh79pBwAUElUgq4+QBlBQ7Y9yhprHKQDp2ov6CGnQhA31E1LI0aAI4VDZGihhv/3M9tjDZxWNJleyZLByPP2giy4yGzMmWBDjiCPMHn7YfxiAtEbYSQ1hJ4sQdvLh++/NTj7ZlzBEJQa1GZkyxZdCpHdvs+uu8/MAsAksXG725wyzn6OHou++8zVDGko7DELL/gtWTKJ0NOSo5kengTp1fE2QmscpEO0ZfV5+1VKzU041GzvWv6HqdtHUFF1pys9m/872yw4+2GzUKO66CqQ5wk5qCDtZhLCTD+edZzZwoL/02bmz2fXX+7Ynb71lduONvhG+egq/+aZvNK/LsQBQ2IoFk+hR3QbVfSa2Via4p5BqgjRQwrRpZt9Gg9DXX0eXR5fNm2+2aImZTuY6UqlCaKXeFygf/Vz1Cdq+WjE7Z/UzdvHXl7jlM2sfY9b7TqtYf7foj/vX7NorzZ6Lhhx5/HGz//3PzwNIS4Sd1BB2sghhJ0XqNXzIIf6S6ZFH+uZszz1n9tJLZgsX+loftTORPff0QyXpxh0AsKkpACn8lAgmPQ8TTXRaMNvsj2gA0shwEuYm0ck9DEArotPyaJKqaT9HJ398m1y8tkWq7Wyf73Oevbt/S9v/v5/s3AcPsa0j88zObWc2aFB0rdhPBJBOCDupIexkEcJOitRH55hj/GXSSy81u+8+swoV/B0GASDHvG0H233WycZa4+jUzI60D2xy5SOtX/MxttcBZazePn6QBA2KwD2CgPRB2EkNYSeLEHZSpFuqa1ijn382a9TI7I47/ChE6hGsEYk0QIF6DYsav6vBO83YAGQ6HdvURFcXeqR6dT829syZ9mXJQ+wSe9QGrzjTathUe9rOsHPtxehKfkhqHQo1BHbt2n5ghAMPNNsnGoLUrYdRq4HNg7CTGsJOFiHs5EP04GAvvODP0iedZPbRR/4mGQ0a+DFh1RheN7ZQJ10FI74mALLByJFmZ5/t5zUQgY53U6bYgqp7279bVLHd/vjAvdSn+iN259KLbc7f7ul6dJNUXQdSGUsDIdSv7wdF0H2CFIa4ZRlQ9Ag7qSHsZBHCTj4ozDRs6E/0yWj46XvuCZ4AQBZQTU7btmYjRgQLEjimgf375EibsayCTYoeKlUJrq6MX33lB0hQ5XgiauKmGiDd/6duXbODDjI76ihf+1OuXLASgEJD2EkNYSeLEHbyacgQsxtu8Hf8i6VLkioM6F4TulkFAGSTH34w69LF11zHU5Pe++/37dXiqKWvWvjq7Z9+6g+df/xh9u23/iaqiWgUOPX1UejZd19f+3PooWYlNNgCgI1C2EkNYSeLEHYKQPfZeewx329Hd/DT5ci+fX1zNtphAMhWSiePPOLvJ6Y+PBpq/4or/KS7kqZIo8BpKGxVlmtSCNJglro3UKIApNbBylE6TR1+uNn++/vR/StVClYAkDLCTmoIO1mEsFNAukyp3ra6bbnuuaOrmgCQC5Q4PvnEHwPff99syy2DFwru33/NJkzwN0X95hsfgtQELhFdU1KfH11nCoOPuhKpRghA3gg7qeHSNbB0aTATxahrAHKFql7C6516jD0WbgRVEp1wgu/2qFv1vP22HwPmmWfM2rXzuUq3LxMdctUM7vnnza65xuz0033+atzYrFs3s48/9tejAKCgCDtAbOUmFZ0AckX88a6Ijn9qoqYAo0HgnnrK7PPPzd55x+yJJ3zA0Vgxuo+PqDWxBkR44w21VjA74gj/3qZNzR54wIemvMaVAYB4hB0AALBJ6Z49551n1qePDzYKQIMH+/Bz7LF+RLeQwo1GzL78cl9jpGZuqiF66SXfXG7FimBFAEiAsAMAADabMmX8iG2tWvnwo2Zv48b5gHPbbWZNmqwdwEAjZ6vmR03iWrTwY8mceKLZzTebjRljNmsWFfQA1kXYQdqYpiF9AAA5b+edzU47zeymm3zo+eILH3BUG3TMMf6ePqJ7/igY9ehhdsopfqCD5s39umrypuGyAeQ2wg7ShkYT6dChA6EHALCGRmzTYFPq86N+PqNHm737rtlDD/naHb1WsqTZypV+FO1hw3wzt0aNfDC66CKzl1/2o8QByD2EHaSVQYMGEXoAAEmpVueww8w6dTJ78UVf6/PKK2Zdu/ranQoV/HpLlvhhr/v397U9GuhAwUcjv+leQAByA2EHaYnQAwBIhfrznHSSH71NTd502yDdK/r8880OOMDfyFSmTPHBp21bP8qbBjvQbdV0PyDVCgHIToSdHNe9e3crVqxYWkyJhKFHvycAAHkpUcKsdm0fdBR4FHw02ptqfTSYQfHifr2pU/2ABldc4WuJNLT1nXf6WiIA2YWwk+MUIiKRSFpMiVSvXt0GDhxI2AEA5JuavKnfjmp9Xn/d7P33/WAGCjgVK/p1Fi70rykQHX+82dFHm919t9nEiWaLFvl1AGQuwg7SUhhypk6dau3btw+WAgBQMGrOpn47N95o9uGHvmbnkUd8s7aqVf06Gr3tgw/8/X7U1E3N43r2NPvqK3/DUwCZh7CDtELIAQAUNY3wVr++2cUXmz37rNmXX5o99ZRZmzZme+3l19EABwpFCkdHHml28slmffuaffutfx1AZiDsIG0QcgAAm8MOO/jhqp97zt/UdMgQ3+9nxx3962rOppqgLl3MjjvO7H//M3vhBbN58/zrANIXYQdpg5ADANjcqlUza9nSD3CgAQuefNI3datSxb8+a5ZfplqgQw81u/JKs1df5QamQLoi7AAAACSgvjwdOvimbmPHmt13n9nBB68dzvrHH/2y007zTd2uu84PZQ0gfRB2AAAANmDfff1Q1RrRTcNZX3utr9kJKeT06WPWsKFZ69Y+IM2dG7wIYLMh7AAAAKSodGk/nLXuy/PWW76Pj0LQfvv51//912zwYLNzzvFDWd9+ux/NDcDmQdgBAAAogAoVzI491jdl+/hjDbRj1qyZWdmy/vUJE8xuusnf10cDILz0ktmCBf41AJsGYQcAAGAjqR+PxtkZOtRs/Hizyy4zq13bv7Z0qdkzz5i1aGF24IH+3j3ff+9fA1C0CDsAAACFpHhxH3IeeMDsnXd8bY7u0VOqlH99yhR/7x717VEtkEZyW77cvwag8BF2AAAAisD225udeaYPNOrf07Xr2toeDWE9YoRZ06ZmJ55oNny42X//+dcAFB7CDgAAQBFSbU+DBma9evkhrB96yOyQQ/zy1avN3n3X7IwzzE46yaxfP0ZxAwoTYQcAAGAT2XFHs06dzMaM8bU5GrigZEn/mgY5uPhis6OO8k3dvv3WLwdQcIQdAACATax8ebNTTzV76imzTz7xw1dvt51/TYMXaBCD444z69jR7Jtv/HIA+UfYAQAA2Izq1/fDV2tAg0svNata1S9Xv57HHzc78kizCy80++ILvxxA6gg7AAAAaaBOHbMHHzQbN87srrv8/XlEAxcMGOBvUnrBBdT0APlB2AEAAEgje+5pdvXVZu+9ZzZkiB/cQObPN3vsMd+n56KLzCZO9MsBJEfYAQAASEMauKBlS7NRo8wGD/bN2WTBArP+/f29ehR6JkzwywGsj7ADAACQxkqXNmvVyuztt82GDjU75hi/XDU9Cj0ayEChh+ZtwPoIOwAAABmgVCmz5s39vXpU06OaHZk3z4ceNXfr0sXsl1/8cgCEHQAAgIxSooSv6XnjDbMXX1zbvE03I+3b1w9prQENlizxy4FcRtgBAADIQGXKmLVo4Yes1uht1av75ZMn+6GqFXrU7C0S8cuBXETYAQAAyGAayECjt40ebXbZZWZVqvjl6uOjAQ5OOcU3fQNyEWEHAAAgC9SsafbAAz7YnH++r/kRjeZ20klm3bqZ/f23XwbkCsIOAABAFtl3X38/nnffNWvc2C9btcqsVy+zww83u/9+s9Wr/XIg2xF2AAAAstAhh5gNH272xBNmtWv7ZVOnml1xhR/g4LPP/DIgmxF2AAAAspT685x3ntm4cWbXXGNWoYJf/tJLZscf75u2zZzplwHZiLADAACQ5bbbzqxPH7PXXjM7/XS/bOFC37RN/Xmee45R25CdCDsAAAA54qijzEaM8E3bdt3VL5s40ezss/2gBmrmBmQTwg4AAECOUdM23Z/n2mvNSpf2y5580uyYY8xeeME/B7IBYQcAACAH7bab2Z13mr34otnBB/tl06ebtWtn1qaN2bRpfhmQyQg7AAAAOey00/y9eVTLs+WWZitX+todDVv99NPBSkCGIuwAAADkuPLlfS3Pm2+aHXSQXzZpktm555pddJHZjBl+GZBpCDsAAABw1GfnlVf8kNSq5ZH+/c3atvUDGQCZhrADAACANXbYwaxnT9+Xp25dv+zdd80aNTJ76CH/HMgUhB0AAACsp0kTs8GD/aPMnm122WV+8ILff/fLgHRH2AEAAEBCtWubDR/ubz66zTZ+mQYvOOMMs7fe8s+BdEbYSSMrV66033//3U2rVq0KlgIAAGw+JUqYde1qNmqU2RFH+GVffml25plm/fr550C6IuwUoj///NOuvfZau/jii61Tp07rTeedd569/PLLwdprLVu2zB5//HFr0qSJm0499VQ3Pf3007Z8+fJgLQAAgM3nkEPMXn/d7MILfQBatMiiZR6z8883W7AgWAlIM4SdQjRp0iQbOnSoDR8+3F599VV75ZVX1pmGDRtm33//fbC2p6Bz44032nXXXedqdA4++GCrV6+e/fjjj3bllVfabbfdZitWrAjWBgAA2Hy23trX5vTta1aqlF/2xBO+X8/nn/vnQDoh7BSiX375xebPn29NmzZ1tTJPPfXUOtOLL75orVu3Dtb2XnjhBRs4cKALOEOGDLH+/ftHDxpP2HPPPWd77rmnDRgwwEaMGBGsDQAAsPl16mTR8olZjRr++QcfmLVsaTZ6tH8OpAvCTiGaOnWqLV682Bo1amQNGjSwY489dp3phBNOsJo1awZrq8p3gQ0ePNiKFy9uXbt2tbp167r5EiVK2KGHHmo33HCDW+/ZZ5+1pUuXunkAAIB0cPLJZm+8Yda0qX8+bZpZs2a+1gdIF4SdQqKQo7Cz3Xbb2c477xwszdvXX39tP/zwg+2zzz6u+Vq8I4880vbee2+3zjfffBMsBQAASA/RYoo995zZddeZFS+u8pBZly5mV11l9t9/wUrAZkTYKST//vuv/fzzz7bHHnu42puFCxe6Pji//fabzZs3L1hrXb/++qvNnDnTatWqZRUqVAiWrlW+fHlX26OBD6ZMmRIsBQAASB9bbWV2xx1mffqYbbmlX3bvvWYdO6p85J8Dmwthp5AotPz1118uoKhp2hlnnGFHHXWUm1q2bGkPPvjgeqHnjz/+sEgkYttvv70VK1YsWLrWFltsYdtss40bkvqff/4Jlianz9hKRxwAAIBNKFpksSuvNHv1VbOddvLLhgzxAxd8+61/jsKlbg8qRyJvhJ1CotHT1N/m2+g3+p577nE730EHHeSaqE2ePNluuukmu/zyy23OnDnBO8yWLFni1qtYsWKwZH2VK1d2ISb2fckoFL3zzjv2/vvvr5nGjRvnmssBAAAUteOOMxs61Gz//f3zzz7zAxcwUlvB6YJ3fPnuvffecy1/SoVD4iEpwk4h+emnn9ww0tWqVbOHH37YRo0aZS+99JIbSe2BBx5wzdtGjhxp999/f/AOs9WrVwdzyZUuXdoFolSSuz5Pzd0UrsLpu+++s2nqMQgAALAJHHqoRcs8Zo0b++c//GB2xhkWLaT758gftQzSxfTY8p1ud6IRgHWhHXkj7BSSs846yw0T3a9fPzvxxBPX7HxK3M2aNXP3zFG/HN2DR0m8KOhnXXrppXbhhReumS677DI7/fTTgzUAAACKnsZqeuops1at/PM//jA75RSz55/3z5G6vfbay7UOii3f6Qb2aj2kVkLIG2GnkGiQAYWaOnXqBEvW1aRJE9t1111dc7SJEye6ZWprKatWrXKPiSjNq+9OyZIlgyXJqfZHKR8AAGBzq1zZ7Jln/MhssmiRWYcOZo895p9j4yxfvjxhn2+si7CziahWp2zZsq5fzezZs90y9ccRjeSWjMKLmqftsMMOwRIAAIDMoGu1d99t1qOHfx4tn9sll5g9+qh/DhQ1wk4hWLFihX3xxReu85jut5OIAouCjmpzNMKa6H486pOjjmeJaneU2MMR3gg7AAAgU91449rAEy0O2WWX+RAEFDXCTiFQUzO1pWzXrp19+OGHwdJ1qSPZ33//beXKlVvT1E3341HgUbO2sLYn1qxZs9xIajvttJPVrl07WJq9GEgBAIDspcDzyCNm222nJvxm119P4EHRI+wUgipVqrhOYgo9zz///Hq1NHquwQt0g9FGjRq5kdlEAebAAw90I6jp3jzxnnvuOfeeQw45xAWjbFejRg3r0KEDoQcAgCx18cVm/fubbb+9r+Hp2tXsrruCF4EiQNgpJJdccokLMa+99pqr5fnss8/cTUM//vhj69y5sz3zzDOuRueKK64I3mFuxLaOHTvatttu6+7No2GpFXx++OGH6Bf/LjdktWp+NOpGrnRAGzRoEKEHAIAs1rSp77OjwKPrw926UcODokPYKST77befCyx169Z1BfbmzZu7IahbtGjhgs5hhx3mwsvuu+8evMM74ogjrGfPnm4AgxtuuMEaN27sRm679dZbXY1Rr169bP/wzlw5hNADAED2atbMBx41aVMNz3XXmd13X/AiUIiKRVK5WyVSpgEF1G9nkcZXDGy99dbWoEEDq1ixYrBkferTM2HCBDeIgWioaTVx09jqqVIwUsjKT5O37t27u2CV7m655Rb3uxYJDQV+1FF+TMxOncweeih4AQCy2LJlFj05mX36qVn9+majR5tVqhS8CGwaw4f70dn+/tusTBmzBx80O//84EXkSRfL27Rp4y4OIznCThYpSNhJJ4ma6lWvXt0Fnfbt2wdLigBhB0AuIuwgTQwdataundnSpboHoa/xIfBsGGEnNTRjQ1pSyBk4cKBNnTq1aIMOAADYrFq0MLvzzmihNFoqDYelfvHF4EVgIxF2kFYIOQAA5J7Onc1uu83Pq4bnoovM3nvPPwc2BmEHaYOQAwBA7rrhhrWBZ+5csw4dzCZM8M+BgiLsIG0QcgAAyG033WR29dV+fupUs/PO003H/XOgIAg7AAAASBt9+pidcYaf//prfyPSBQv8cyC/CDsAAABIGxqcVSOyHXecfz5qlB8sFSgIwg4AAADSim42ev/9ZuGoys8+a9atm58H8oOwAwAAgLRTp47Z00+bVavmn/fqZfbww34eSBVhBwAAAGnpyCPN+vUzK1PGP+/Rw+zDD/08kArCDgAAANJWkyZmt9zi5//5x9+D5++//XNgQwg7AAAASGuXXWbWqpWf//57s0suMZs3zz8H8kLYAQAAQForW9ZswACzQw7xz4cPN+vd288DeSHsAAAAIO1VqGD2+ONmu+zin99zj9mrr/p5IBnCDgAAADLCPvv4Udlk5Urff+enn/xzIBHCDgAAADJGmzZrbzI6Y4bZNdeYrVjhnwPxCDsAAADIKOqvc+yxfv6VV8x69vTzQDzCDgAAADJKuXJmffuaVa7sn995p9k77/h5IBZhBwAAABmnbl2zu+4yK17cbOlSs86d/X14gFiEHQAAAGSkDh3M2rb187r/jmp4gFiEHQAAAGSsPn3Matf2848+6vvwACHCDgAAADLW9tub3X67WcmSvjnbDTeY/fZb8CJyHmEHAAAAGa1Zs7XDUX/3ndltt/l5gLADAACAjHf11Wb77uvnBw82GzPGzyO3EXYAAACQ8apVM+vWLVq4jZZuFy82u/Zas3nzgheRswg7AAAAyAotWpi1bOnnv/rKrF8/P4/cRdgBAABAVlCtzi23mFWp4p/37Gn2xRd+HrmJsAMAAICssffeZt27mxUrZrZwoR+sYPXq4EXkHMIOAAAAsopuNnr88X7+zTf9hNxE2AEAAEBW2XJLs5tuMttqK7OVK33Ttn//DV5ETiHsAAAAIOscdZRZu3Z+/ssvzR54wM8jtxB2AAAAkJW6djXbfXc///jjZtOn+3nkDsIOAAAAstKuu5p16eLn//rL7MEH/TxyB2EHAAAAWevcc83228/P6747n3/u55EbCDsAAADIWuXKmXXu7Of/+8/s/vsZijqXEHYAAACQ1dq2NTvoID8/fLjZmDF+HtmPsAMAAICsVrq0H35aQ1IvXmzWu7fZ8uXBi8hqhB0AAABkvcaN/XDU8t573Gg0VxB2AAAAkBOuvNI/RiL+vjsrVvjnyF6EHQAAAOSE444zO/10P//OO9Tu5ALCDgAAAHJCiRJml11mVqqUf07tTvYj7AAAACBnHHOMWcOGfv6jj8w++MDPIzsRdgAAAJAzwtodWbrU32gU2YuwAwAAgJyiUdkOPdTPv/WWr+FBdiLsAAAAIKdUqGDWqZOfX7DA7IUX/DyyD2EHAAAAOadFC7Patf380KFmU6f6eWQXwg4AAAByTunSZhdf7OdnzjR78UU/j+xC2AEAAEBOat7cbJdd/PyAAT70ILsQdgAAAJCTdtjB7MQT/fyvv5qNHu3nkT0IOwAAAMhZl1669iajw4aZrVzp55EdCDsAAADIWfvss7Z255VXzD7/3M8jOxB2kDamTZsWzAEAAGwaW0RLw23bmhUvbrZqldnLLwcvICsQdpA2atSoYR06dCD0AACATapRI5VD/PyoUWbz5vl5ZD7CDtLKoEGDCD0AAGCTqlTJrGlTP//99745G7IDYQdpidADAAA2JQ1DHdJABatXB0+Q0Qg7Oa579+5WrFixtJgSCUOPfk8AAICist9+Zqec4ufff199if08MhthJ8cpREQikbSYEqlevboNHDiQsAMAAIpUmTJmZ5zh5+fOpSlbtiDsIC2FIWfq1KnWvn37YCkAAEDROfpos8qV/bxuMEpTtsxH2EFaIeQAAIDNpWZNswYN/Px775lNmODnkbkIO0gbhBwAALC5hU3ZFi82Gz/ezyNzEXaQNgg5AABgczviCLOqVf3888+brVzp55GZCDsAAABAYNddfd8d+fZbs19/9fPITIQdAAAAIMYJJ5jprhgLFpgNGRIsREYi7AAAAAAxFHaqVPHz6rfDqGyZi7ADAAAAxKhWzeyQQ/y8wg5N2TIXYQcAAACI07Spf5w502zsWD+PzEPYAQAAAOIcdphZxYp+/t13/SMyD2EHAAAAiFO9ulmtWn7+++/NVqzw88gshB0AAAAgzpZbmh1wgJ+fMsXsww/9PDILYQcAAABIoEEDPwT1smVmo0YFC5FRCDsAAABAAuq3U768n1dTtkjEzyNzEHYAAACABHbYweygg/z855+bTZ3q55E5CDsAAABAAltES8qNG/t5DUE9aZKfR+Yg7AAAAABJ1K4dzER9+WUwg4xB2AEAAACS2H13s5128vNjxvhHZA7CDgAAAJDEHnusrd354w+z2bP9PDIDYQcAAADIQ506/nHWLD8qGzIHYQcAAADIw5FH+sfFixmkINMQdgAAAIA87LPP2vvtfPop99vJJIQdAAAAIA877mi2665+fvx4+u1kEsIOAAAAkIettjLbay8/P22a2cKFfh7pj7ADAAAA5KF4cbP99/fzS5aY/fSTn0f6I+wAAAAAG1CrVjAT9dlnwQzSHmEHAAAA2IBddjHbZhs/r/vtIDMQdgAAAIANUM1OtWp+fvJks2XL/DzSW9qGnenTp9tXX31ln3/+uX300Uf2wQcf2KeffmoTJ060X375JVgLAAAAKHply5rVqOHn//zTbO5cP4/0llZhZ/bs2da/f3+76qqr7Oyzz7ZmzZpZ06ZNrWXLlnbWWWfZmWee6Z5r/pJLLrF77rnHpkyZErwbAAAAueDdd9+1hg0bWocOHdzF8UT+/vtv9/rJJ5/sLpgXhjp1/OOMGWY//ODnkd7SIux8//33duONN9oJJ5xgN9xwgz3yyCP23Xff2erVq61cuXK2zTbbuKl8+fK2xRZb2LRp0+ypp56yHj162GmnnWaXXXaZfUZPMQAAgJxQpkwZF3gGDRrkAk0iXbp0ca9rPZUjC8POO/vHpUvN5s3z80hvmzXszJ0713r16mVNmjSxBx54wJYtW2aHH3643Xvvvfbcc8+5QBM7aYfV47PPPmv9+vWzRo0aWalSpdy6Cj0XX3xxNGUTswEAALLZoYceahdddJGbV81O37593Xxo1KhRNnjwYDd/3XXX2d577+3mN1bsx/z2WzCDtFYsEhXMb1Ljxo2zm266yb755hs76qij7KSTTnLN1CpXrmylS5cO1srbihUrXNO3V1991d555x174403bIcddrDLL7/cOnbsaCVLlgzWzA0Kjs2bN7eaNWsGS5CSiRMtuhOaLVpk1qmT2UMPBS8AQBZT7+oGDczUvKd+fbPRo80qVQpeBNLfvHnzrFatWq65mmp6pk6d6sqBS5cudcvVEkghR/299XphUO+JevXMFi+2aFnTrH//aGG6WPDiJtazZ09r06aN1Qg7EiGhzVKzo4Cj/xw1SRs4cKANGTLENUWrWrVqykFHFGa0UyvYPPPMMy707LffftatWzcbMGBAsBYAAACyjZqm3XfffW5eAUfN1qR3794u6Mijjz5aaEFHypc323FHP6/hp1et8vNIX5sl7CikdO3a1d58801Xm6N+ORurRIkSdvTRR9uLL77oduyKFSsGrwAAACAbadAqtQ4SNVtTN4c777zTPW/fvr01UO1lIVLxMqxI0eDAahSC9LZZwo6qFtXUrKzG8CsCrVu3djVHAAAAyG6xtTfqv61aHrX8UfP+wqYGSFWr+nkNPb1kiZ9H+kqL0dgAAACAgqhevbobhCCWnivwFIXYsDN9up9H+krrsDNjxgw3BPXkyZMTThqy+ueff7bNNMYCAAAA0sBbb70VzHkjR44M5gpf2GdH/XVmzfLzSF9pF3a+/fZbu/rqq+3CCy+0c88919q2bZt0atGihV155ZXufjwAAADIPRp2OrxpaD0NlRYV3oMnGd3AvlixYmsm9R+flWJyCWt2dK2d4afTX1qFHY2Tft5559ljjz1mzz//vH355Zf2119/2R9//JFwmj59uhtuEAAAALlH5cDrr7/ezTdt2tQ++eSTNc3XtDy+nKj+PLvuuqv179/fZs6c6VoH6VYmxx57rO200042fvz4YM3kNEJ7qVJ+nmZs6S9tws6qVavcKBq6Kegee+zhhg0cOnSoCz26aWii6aWXXnJDDmoIawAAAOSWDh06uACjAQpUJgwfJTYIhVSu1HLdn7FKlSpumUb0vf/++93AWakMaqAspSGoZd48/4j0lTYpIdzxykf3Ht1stFOnTnbcccfZ8ccfb40aNUo4nXjiiXbEEUe46kcAAADkDl0kHzVqlJu/5ZZb3EAFEjsctZqyqUmbrFy50kaMGGH77LOPm2LtvPPOduSRR9qYMWM22JxNNTtbbeXnFyzwj0hfaRN2VIU4Z84c23fffV2IAQAAABKZN2/empuI7r333nbFFVe4+VBYyyPhcNTq/vDhhx/aLrvsEg0rQVoJqHanZs2arjw6derUYGliuj1kdHVHreQYJyu9pU3YqVy5stWtW9eNwJZqBzEAAADkntj+OLHBJhQbgNRFQjcbLSwKO+G96xcuNFu2zM8jPaVN2FHzNVU7aodUXxwAAAAgEY3aO27cODcgQdhkLZ6atmkdTbHr7LfffsFcwYUjsv33n9n8+X4e6SmtevY3a9bMJXWNxnbvvfe6Wh5VO+Y1LSNOAwAA5BQNMd2gQQM79NBDgyXrU22P1tGkmp7Q119/HcwV3Dbb+EfV7NBvJ72lVdgpVaqUtWnTxg0ZqNHYNIRgOBBBokk7b/v27d1IbgCAzKeOxGqLDwCbQ8mSJa1GjRrBs+S2394/Llmi4az9PNJTWoWd7777zi644AL76aef3Ahr6iCmZm2TJk1KOGn9n3/+OXg3AKSnadOmBXPIi4aQbdiwoe0Y3p4cAAqRji3qNvH777/b4sWLg6WeRmqbMmWK7bXXXm4I6g0pXtw/Llpk0c/y80hPaRN2tJM99dRTNnHiRKtatap17NjRNWnTMNQ33nhjwunWW291Q1Qz9DSwLt2gt3v37ta6dWurVauWbbnllq4QqRFpwrtMo+gp5Oj4pKuEKsgjNWqiDACFTc3amjdv7i6Wa4oVjtR26qmnrjdSWyJhMzb1plDgQRqLpIk///wzcvDBB0eiQSfy/PPPB0tzx+rVqyNTpkyJvPXWW276+eefg1dSd8cdd0R++umn4BlSNmFCJFK2rEaOjEQ6dQoWZqYlS5ZELrroIg2Cmed00kknRebOnRu8K/1MnDgxMnXq1OBZ5nrzzTfX2ebpKJ22dfv27ddsL2wCS5dGIoce6o999etHIrNnBy8A2evXX3+NVKxYMXLAAQdEFi1a5Jbp3LnLLruss2xDHnnEf3U0vfFGsHATu/32293fg7ylTc3O8uXLLVr4stq1a9tpp50WLM0NuprQuXNn1w9JfZA0af7qq6+2aAgM1gLypiafhx122JrhNbfZZhs3+oxGo9EUDUFrbrimm7DF31U6Xai/3v777+9qQ8JhRTOV+hWq76Eezz333GBp+simbQ0AqdDxTgNg/fvvv665mmrf1fohGnTsyy+/TKlWR0qVCmaiokVYpLG0CTuVKlWyPffc02bOnJlT99nR36qg8/TTT7u7+d5www127bXXui9j//797aqrrnIhMBfQr2HjqMmamq+JCtjq8/bmm2+65myaHn30UbdMjwpC6dpUKPb3yvTmTGoyMXz4cDfsqYbWTzfZtK0BIFU6Nv/222+qQl4z6VidHxUqBDNRDAyc3tIm7FSI7jVnnHGG/fjjj/bKK68ES7PfgAED7O2333bDbivwqA+SboL17LPP2sknn+wKq+rLlAvCfg2EnvwbMWLEmqCjQrUO2go0iaiGZ/Lkya62BwAA5F/JksFMFF3H01sxtWUL5tNCly5d7LXXXnOPRxxxhNWpU8dKlCgRvJpd/vrrL2vRooVrxjZy5Eg3ZnwsVacqBO2+++42bNgwqxjerjeJXr16uY53NWvWDJZkltiBJtSUT4XxsNlVkZo40eyoo3wPw2jYtIceCl7IDLoir6ZIasamq1WqvdHw7RtDn6UpDFD6PN2jQPcz0M9IZtCgQe73UeAKw5YGRNBwwloefkai/1f9LA05rHCvz5EXXnhhnb8l0c/X5+rz4wdeUBO+vO6/kOh31edoEv1c7YfxP2/w4MFu24i+s/oZeW1vra8Ar58T/3dvzPaKld9tUNBtHdLP0jYIm75pXf2uqXxf9XP188PtHLsNdbEj/H3yc2oqrH1A71cTz3/++cfddFAXBhIp6N9f0N+zyOhydIMG2unM6tc3Gz1azSyCF4GipdF0NSjVwoULXcsefQeKh0OcZYBosczOPNPP9+9vdsEFfn5T6tmzp7tliy4WIw8KO+nijTfeiJx//vmR3XbbLbLjjjtGokEn0q5dO9fh+oILLlhvip4YIzfccENk1apVwSdkluhJNbL99ttHTj/99IQd4rTslFNOcZ3m3n777WBpcpk+QIF2x/hJHZaLvPN0hg9QMHz48DXbK1poC5YWjAYtiBa81nxe/BQt0EU++eSTYO116f8pXG/cuHFuPa0f+35N0UKlez1etKC43rrxU/z7ogE/Ei0kJ1xXU/TkGZk8eXKw9lqJftdEn6PfKdz/9Dn6vETrJPoZEvtzouE9WOpt7PYKFWQbFGRby19//ZVwG2iKBqPIfffdF6yZmD5Tf0/8e8O/Ud/3cFmqCmsfGDhw4Drv0xT+34c25u8v6O9ZpBigAJvJPffcE9lpp53W7P/FihWLRAvtkX/++SdYI2/x382ilOxnjR7tvzqaNFjB5sAABalJ/YyyCVx99dVup69WrZoblW277baLVKhQIVKuXLmEU/HixSP77rtvZOXKlcEnZJZ+/fq5E2SXLl2CJevTa1pHJ+INKUjYUQEsPNik8xRfUCxUGR52VMAKt5OCT0GpoBVbGFPBW4VPXWyIL+C98MILwbvWii08du3a1e23mtfnNGjQIFKvXr01r+s1FRxjXXHFFW692IK4fq6WhVPsexQOwvX0e+t31X6inx3/GfE29LvGvl+/t0YsCwvpek3rxAYT/XyN5hMv9ufkFXYKsr2koNsgv9taYreBHpP9LD1PRCPThX+jJv2dCuex4Sf2c1JRWPuAgkj4u+l94Xu1Tmhj/v6N+T2LFGEHm4FG3A33+fipZcuWkYULFwZrrk9lIX1n9P3ZVPR76TsbezyQ99/3Xx1Njz4aLNzECDupSe2Msol8/fXXrhD18ssvpzQNHTrUDdOsYZszUffu3d0Jtnfv3sGS9d10001uHQWZDdEJO9WrIuko/qCnSQe1VILeRsnwsKMwEm4vFcgKKqzR0f72aIIjd2xhNVHhPrbwGE7xn6MTVPiaCtyJxK4Tf3KJpb9VgSBZwGvatOmaz4mvpdjQ76q/TQX++HXiC7IqrIevJfo9Yn9O/Mm5MLbXxmwDSXVbiwriWk/fyfgaCG2v8GdpH0lUQxEb3rQvxYoN7OGUiqLcB+K3x8b8/Rv7/1RkCDvYxObMmRM58MAD1+zv8VOJEiVcK594YcgJ14s/nhal2N8vNvS8957/6mhKcMrcJPr06RP55ZdfgmdIJrUzCopEt27dIqVLl4489NBDwZL13X///e7kqXU35NZbb43cfPPNkQEDBqyZ9NkjR44M1khvsQeUTRJyQhkedsJCmKaC3jtHhbDwM/JqihNbKI1fL77wmOz/T0FJr+v/OJH8FMDzogJn+DnxISKV31WFzth1Ep1cYz9HJ8F4sa/Hv7+wtlde8toGkuq2jt0/khXYVRMUhmEF8Fix709U8yH6+8N1NBWG/OwDyX4v2di/f0M29P9UZAg72MS+//77SJUqVdbs74mm2267LVh7/ZATTomOx0Ul/mdr0vF+yBAdQ/zXp6i/tj/++GPkgQceWKd8p2OFunrMmDEjWAvJpM1obLlo9erV7jH6/+AeE1Fnvbxej7XFFlu4DrIa0CCc1OmvWrVqwRrpT79/9ODmOtlHDybBUuQl9v4o2yQZgW1DNECGRAtrrrN2MnpN68hbb73lHhPRiILJ/v/UGVuK+r4u2pdCef2sZL9rA3XcDjRt2tQN3x1PPyP8ORvz9xTV9kp1G2xI+H+t/UvbIpFoKHOd9CUcwCEU7l9y4YUXBnPr0t+f175XEKn+/YceemieoxNu7N+/IYX1/wRkgg2VaSpXruwGdclrhNZbb73VDWq0KaZENLhJq1YaFGD980JRKF++vCvPxZbvNBiVlq9atSpYC8lslrDz66+/2tixY4Nnhe/rr78u0s8vLAonkuzLJGEgSoVGrdPNSI899tg1U6NGjay+RtnJAIScgokNOBrtqSDCk0m9evXyHFks1QLd1ltvHcytL/z8gv6uqUg04lUyef2uYSE0rxAZrrMxf09RbK/8bIMNCf+v9bfqc5NN4XaKL5yEz/X+2IJ9vDBIFwb9Pqn+/Tpu5vWzN/bvz4veV1j/T0C622OPPezAAw8Mnq1P5SKNhKjv2rhx45KWB3RxQqFpU0yJ6Pfr2nVgdG7ThJ0dd9xxvfLdcccdZzvvvLO7KT/ytlnCjq5ctWvXzi6++GL7/vvvg6UbTwXlHj16WJMmTeyTTz4JlqavUsHtd/MqxMyePduFoVTu6Ksv5SINn5yhCDkFE1t4zE8hK1ZYmMsr6ITCn1fQn1W6dOlgrnCooKirf7oDdnglrmHDhm7KBqlsr6LeBuH+oSGjw89NNKngLvHBIaytSGX/Koh0//tD2b6vAhuics9tt91mJWNvUhPj6quvtkMOOcTN61yTbhdBY3+nk0/e/L/TypUr3XEEedssYWffffe1a6+91t544w1340zNjx8/vkBXRpctW+buR3PzzTfbaaedZnfffbdrZpAJBeftt9/ePc6aNcs9JrJgwQL3qFQPJBLWtEhBm8Do3iepCgtyhXkVvqB0weSwww5bc28WNT2LnXLBptgG4bFZ+5quqKYyxQrfXxT7TCb8/cK+CngHHXSQuxG2mo/qmKAApPLQXXfdZXfcccd691ZMh9CT6HeIrfRJUgGEdBHZjCZMmODGVS9btmykRo0abvSjvn37RsaOHRv58MMPI7MTdJacP39+5LPPPouMGTMm8vDDD0caNWoU2X333V3H0IYNG0aGDRsWrJn+XnvttUjlypUjbdu2jURDW7B0rcWLF0eaNWvmhuHWPXk2JNPvs7PZZPgABeqkqK+ypmQjnG1ItBDn3q/BDjYkHBBBo0vFip4E1vwe0cJesHR9ei1cL5HY1/WZycT+3dGTT8KhmcPX43+fVH/X6Aluzecno+OW1tFjvLx+TmFsr43ZBhL72Xlt63AktVT2j0TC92t75kV/Q/j7pGJT7AOysX//xv4/FRkGKMBmpHsJqszyxRdfRGbNmhUs3TB9dzflqIXRkBPMrWvECP/V0fTEE8HCTYyhp1OzWQco0F3fn376aXvuueesTp06NmXKFLvuuuusZcuWrpmbpvPPP986duzoJs2Hy9WRVdWd33zzjWsa8dBDD9nQoUMtGg6CT09/+pt32203+/zzz2369OnB0rXUTEh/36677mp169YNlgLrUk1meMW8X79+BardCZsXqblOXjWsei1s0hNbo7Q5DBkyxD3q99AVt6JqIpXONtU2CP+vC9p0UVdFRftmfmoRNyRT/n72VWB9ap6vTvbqV7ztttsGSzdMx5NNWRvaPkltkrtEEahQIZhBWtqsYUc02tjpp59uw4YNsyeeeMKNSqQQpEKV+t289NJLLsRo0vz777/vmnapk5sC0H333edGyvnf//7nRvDIJPrCHnPMMfbXX3/Zww8/vE4nsyVLltiDDz5oM2fOdIMMVK1aNXgFWJcKThdddJGb1/dGzWXyCiyiQtvgwYODZ340KlFBNHZ5PIWpsLDaqlUr91jYwoKx5BXc1H9CYtePVZiF6nS1sdsg1W2t45RoHTU/yS91OBbtl8ner78lv5+9qfaBjf372VeB7BN7mo0NPkg/mz3shNRZTSNN9O7d25599lkXfhRwNN+nTx9X46NaIBXEhg8fbi+88ILdf//91rp1aytbtmzwKZlHhdR99tnHXe275JJL3BCt+ts1POvzzz9vBx98sF1wwQXB2kBit9xyy5qrxSqMqW9AoqvQKlRpCOVatWpZ//79g6Vml19++ZraoS5duqwpnMVS52oN9ykatS3ZELwbK7ZAOGrUqGBufeF66hQeX1DX81zo9L2x2yDVba0rm+H+df3116+p3UtE+0584V3HuXD/0vvj9039/vpd81vo31T7wMb+/eyrQPaJ/ZozRkB6S5uwE0snFY3GoaH1NLKaCvs6wWgAghNOOMG9pvHXs4HGSletjqpkX3vtNbvssstc7daYMWPc36pAl0n3ycHmoSFvdQEgLJCpwKXvSMWKFV1BKpw00IUCi66wxxZ09T4FJlFBTeuqSaiCkSbNa5leU6G1V69ebt2ioKY+YcFYv6t+bvg7xIYw1QiL/hYNdNK3b19XmNS6qh3WuuHnZKuN3QapbmutowtOooK+wrSOyarp089Tp3uFZIVo/dz44KT9K6x9DAv3qoHUz9LoZHquvyG8p1CqNtU+sLF/P/sqkH2C8aNMdxGJnmqRzoK+O9jM/vvvv8ikSZPc3YU16Y7a6ryXHwxQUEAZPkBBrLlz50aiBUZVqCedosHIdYJesmRJ8K61Bg4c6F5P9D5N0cJxZOLEicHa6yqMDveh2HVip08++SRYI+J+/3BwgPhJf0M0/K15Pf73SfV3jQZCt446lScT/gw9xsvr5xTG9tqYbRCK/fzYKXZbh958881INLgkXD+c9HqyfUTbMdl79PO0/4XLUrEp9oFYBf37C+P/qUgwQAFQYLff7r86W24ZiR6/goWbGAMUpKaY/okeYJEFdLW9efPmrsMf8mHiRLOjjjLTPYo6dTJ76KHghcylJme6Aq3mQu+9955bpn4HupKvq+fRApZblojeo6Zwv/3225orzqpNVdM1vTfZFWhdtVYzVNF6YT+gePrddOVbn9O1a9dg6fq0jjp2h02edHVctZ7x9Luq357+3mhB0/2uGsBE82r2quXRguQ6HVpT/V3DAR/0utZLJPwZ2rb6ubHy+jmFub0Ksg1ipbqtRbV7+kztH/rdQto/tI9tqHmjfpbep/1StYt6j/5+/a76PfXZG9o34hXlPhBvY/7+jf1/KnTLlmkMbO1kZrr59OjRZpUqBS8CyMvVV5vdc4+Zuou//bb6JgYvbEI9e/a0Nm3aZE1rp6JC2MkihJ0CysKwAwAbRNgBCuzCC80GDDDbbjsfdvbZJ3hhEyLspCYt++wAAAAA6WrOHP+o/jpcI0hvhB0AAAAgH/75xz+WKOEnpC/CDgAAAJAP8+f7x6228hPSF2EHAAAASJHuAb94sZ+vUMGsXDk/j/SUVmFn5syZtmTJkuAZAAAAkF5mzPBjGglBJ/2lVdjRHd1btWplAwYMWO8u0wAAAMDmNneuWXhtfued/SPSV1qFnVWrVtmrr77q7q9w2mmnuTtsjxs3zmbNmhWsAQAAAGw+f/1ltmCBn99lF/+I9JVWYUc3V1OtzpFHHumatD3//PN25pln2jnnnGO33XabffPNN7ZixYpgbQAAAGDTUs3O6tV+vlo1/4j0lVZhR3cg79ixo7uT9EsvvWSdOnWygw8+2D755BO766673A0zNen1n376KXgXAAAAsGmEPS22iJaiq1Tx80hfaRV2QltttZUdeOCBdscdd9izzz7rws25557rlo8fP946dOjg7hh76aWX2ujRo23evHnBOwEAAICiM326f1TYoWYn/aVl2Im17bbb2sknn2wPPfSQffjhh/bggw9aly5dLBKJuBCkmqBTTjnF7r33Xvv222+DdwEAAACFS83XfvvNz1eurHKqn0f6SvuwE1q8eLH98ccfbvrrr79c3x0FnnLlyrkBDDSogfr83HLLLQxfDQAAgEK3bNnawQn22MOsfHk/j/SV9mFHtTUPPPCAnX322daoUSM3UMHIkSNdyLnmmmvsscces8cff9yFHYWfvn37WufOnRnIAAAAIMt99dVXVrFiRdtyyy3dfKy8XiuoOXPMfv7Zz6tWp2RJP4/0lZZh5+foXjRkyBBr0aKFG4mtW7duNmbMGKtSpYqdeuqpbpS2l19+2QWcww8/3I455hgXghR0qlWrZqNGjbJPP/00+DQAAACk4t1337Xu3btb7969benSpcHS5AYNGuTW79evX7Akb+qCoPX1WBjUb1uTftf4Ptx5vVZQqtmZOdPPq79OiRJ+HukrrcKOvmCXX365tWzZ0i655BIbO3ZsNEHPsQYNGrggo8EKnnrqKTvppJNsxx13DN611gknnGC77LKLLViwwN5///1gKQAAAFKh1jO33nqrXX/99e7icV4UIDRolNbXvRF/+OGH4JXktJ7W143kM5H+xDAD7rmnf0R6S6uw89Zbb7kma7///rvVrVvX/ve//9mwYcPshRdecPO1a9cO1kxMNyVVet9hhx3s+OOPD5YCAAAgFWotE3rvvfeCucR0kTrWhsKRmpKFNSyxPyeTTJrkHzUSm/rsIP2lVdipUKGCNWnSxJ544gnXVO3uu+92Q1CXT7H3l/rs3H777e69hxxySLAUAAAAqVDrmTJlyrj5+DATLz4M6aJ1XmI/r2nTpsFcZpkxwz9Gi6y2ww5+HuktrcKOmrCpL87pp59uVatWDZamrkSJEnbkkUda/fr1gyUAAABIlYLOoYce6uZVEzNt2jQ3n0h8GNLzvPr5qImcqAVOvXr13HymCe9pr8EJdt7ZzyO9pVXY0U1DS5UqFTwDAADApqaLzqFktTtqjhaOcKbaIFHQSTZAVOxr4frJKGDp56bSB2hT+ucfsx9/9PM77WS23XZ+HuktrcIOAAAANq/YMJKs305sCOrVq1cwl7wpm4JOWOtz4oknusdYek2DF2iY6Bo1aljDhg2tVq1aVqxYMWvdunWhjaa2MdSEbfZsP7+BbuRII4QdAAAArLH33ntb9erV3Xyymp0wBGnEXDVJC9dPNkhB7OfE1+yohmj//fd3w1cr9KiZmz5Xj6JhqhV8CuteOQU1ebLZ3Ll+nh4TmYOwAwAAgHWEgURNyhKFjDC8hKOqhQMOaN1EtTBhfx31B9pmm23cfEjDV6vJmpaPGzfO/vrrrzWPb775plv+999/u/U2pylTgpmoAw4IZpD2CDsAAABYR2xTs/jandj+OqqBkdihpEeMGBHMebHrxzdh07rhawMHDlzzeSGFrltuucXNa734z95UIhF/jx3Zckuzrbf280h/hB0AAACsQyEjHII6vt9OGH5iR25LZX2Jb8IW3lxUTeGSDUd90UUXBXNmn332WTC3af33n9kXX/j5o44yK8CgwdhMCDsAAABYR2yQia/ZCcOMXg8DTuz68f12wvXVHC1cJxTW6sQvj6XPDvvv5DUUdlGaOtVPUreuWenSfh7pj7ADAACA9YRDUKsZWmzgCZuSxTZdk7CJmvrXhCFGwvXja270uVpXNDiBRl5LNoXrhY+b2qRJZqtW+fmaNf0jMgNhBwAAAOuJbXIWhh3VrIS1K4n614QSrR8fjhINZJAX1fC0atUqeLZpffedf1SNzp57+nlkBsIOAAAA1hM7BHXYFC0MMbHN1kLqdxM2NwtHX4utEYqv2Ykdle2KK66wSCSS57RkyZJ1+u9sKsuWmX3wgZ/XjUSjfyYyCGEHAAAACYW1N+FNQRP114kV1u4kWj9+yGk939x9cVLxxx9r++vUqmVWsaKfR2Yg7AAAACChsN+OgosGHghrasLl8cKmalpfgSfsrxM/5HQorDkKw1E6+uUXsz//9POnnOIfkTkIOwAAAEhINTthDc5TTz2VtL9OKLap2q233rqmX078kNOhyy+/3D1q4IHevXu7+XQzcaK/z47st59/ROYg7AAAACCh2OGiw1oaLVP/nERiXwtrgWI/I95ZZ5215jWFow4dOrj3hSFJtT36uVq+5ZZbbpbR2MaM8Y8ahW2vvfw8MgdhBwAAAEnFN0FLVqsTim/iluxmoaEXXnhhTeAZNGiQNWzY0CpWrOiGnFbAadasmVu+OZq5aRS2zz/38/vuaxZ0MUIGIewAAAAgqfbt26+prVEfm3PPPdfNJ6PamnB9jei2ofX1mZ988on16tXLBalw0IKQPkujtU2ePHm918JBDjRpPlZer6Xq22/N/vvPz9epY9EA5ueROYpFNJYfsoIOEs2bN7ea3O0qf9QY96ijzBYtMuvUyeyhh4IXACCLaTxdXaH/9FOz+vXNRo82q1QpeBGAdOxo9vjjZiVLmo0bZ3bEEcELaaBnz57Wpk0bq1GjRrAEiVCzAwAAAMT591+zjz/28xqY4LDD/DwyC2EHAAAAiPPNN2Y//ujn1W1pC0rNGYn/NqSNdL6hGAAAyC2jRpmtWuXnNTgBMhNhB2lDbU41tCShBwAAbG4ffOAfq1UzO+AAP4/MQ9hBWtHQkoQeAACwOf3669ombAcdZLbHHn4emYewg7RE6AEAAJvL66+bzZ3r5xs18o/ITISdHNe9e3d30650mBIJQ49+TwAAgKK2YoXZO+/4+fLlzU45xc8jMxF2cpxChG61lA5TIrrR2MCBAwk7AABgk5g+3eztt/18w4Yqi/h5ZCbCDtJSGHKmTp3q7twMAACwKYwda/bff36+cWP/iMxF2EFaIeQAAIDN6aWX/GOVKmbHHOPnkbkIO0gbhBwAALA5TZpkNmGCnz/wQLOaNf08MhdhB2mDkAMAADan554zmz3bz7dpEy0oU1LOePwXAgAAIOctXmz22mt+vlw5swYN/DwyG2EHAAAAOe/9982+/97Pt21rVrWqn0dmI+wAAAAg573wgtmqVWZlyviwQxO27MB/IwAAAHKa7q0zbpyf32svs4MP9vPIfIQdAAAA5LRhw3zgkRYtzEqX9vPIfIQdAAAA5KxIxOzpp/38DjuYtW7t55EdCDsAAADIWW+/bfb1137+hBPMdtvNzyM7EHYAAACQsx591A9MUKyYWatWwUJkDcIOAAAAcpJqdFSzI8cdZ3bSSX4e2YOwAwAAgJz0+ONm8+f7+XbtogVjSsZZh/9SAAAA5JxZs8yGD/fze+xBrU62IuwAAAAg5zz/vNmff/p5jcBWpYqfR3Yh7AAAACCnzJ5t1r+/n69Qwezcc/08sg9hBwAAADnltdfMJk/28+3bm+2+u59H9iHsAAAAIGesXGk2YICf33prs44d/TyyE2EHAAAAOUO1OuPH+/nmzc322cfPIzsRdgAAAJATli8369PH1+6or86llwYvIGsRdgAAAJATnnvO7JNP/HyrVmb16vl5ZC/CDgAAALLeokVm993n58uXN7v4Yj+P7EbYAQAAQNYbPNjsu+/8fMuWZvvv7+eR3Qg7AAAAyGq6r06vXmaRiB+B7ZJLgheQ9Qg7AAAAyGoPPGD2yy9+XvfVOeAAP4/sR9gBAABA1po6de19dXbYwaxrVz+P3EDYAQAAQNa66y6zv//289dc4wMPcgdhBwAAAFnps8/MBg3y8/vtZ9axo59H7iDsAAAAIOssWeKbrOlRrrzSDzmN3ELYAQAAQNYZNszs3Xf9/LHH+puIIvcQdgAAAJBVFiwwu/deP1+hgh92unRp/xy5hbADAACArNK9u9mECX7+wgvNDj7YzyP3EHYAAACQNcaPN3vkET+/yy5mnTv7eeQmwg4AAACywtKlZjfeaLZsmVmJEmZ33GG2007Bi8hJhB0AAABkhfvvNxszxs83bmzWtq2fR+4i7AAAACDj/fijWZ8+fr5yZbMePfw8chthBwAAABlt5UqzLl3M5szxz2+5xaxuXT+P3EbYAQAAQEa76y6zN9/080ccYXbuuX4eIOwAAAAgY3355domaxUrmj38sL+3DiCEHQAAAGSk+fPNLr7YbMkSs2LFzHr3Nttvv+BFIIqwAwAAgIz04INmn3/u50891eyCC/w8ECLsAAAAIONoiOnbbvPzu+7qgw8Qj7ADAACAjDJliln79mYrVpiVLu2HnN5ll+BFIAZhBwAAABlj1Sqzq682mzHDP+/Y0axlSz8PxCPsAAAAIGPceafZK6/4eQ0zrUEJgGQIOwAAAMgIo0ebde/u5zW8dN++ZmXL+udAIoQdAAAApL2vv17bT6dMGbP77zc78MDgRSAJwg4AAADS2uzZZhddZPbXX/75tdf64ANsCGEHAAAAae2aa8w+/dTPn3mm2fXX+3lgQwg7AAAASFvqozNokJ+vU8fsvvt8MzYgFYQdpI1p06YFcwAAAGYvv2x2661mkYjZdtuZPfOM2c47By8CKSDsIG3UqFHDOnToQOgBAAD2xhtmF1zg57eIllhVo7P//v45kCrCDtLKoEGDCD0AAOS4776zaFnAbM4c/7xHD7M2bfw8kB+EHaQlQg8AALlJI6517Gg2c6Z/rlHYunXz80B+EXZyXPfu3a1YsWJpMSUShh79ngAAILv9+69Zq1ZrR1474wyzBx/080BBEHZynEJEJBJJiymR6tWr28CBAwk7AABkufnzzdq2NfvgA/9c/XMeeMCsRAn/HCgIwg7SUhhypk6dau25axgAAFlN1zyvusps9Gj/fN99zYYMMatWzT8HCoqwg7RCyAEAIPfopqFPPOHnd9vNDzlds6Z/DmwMwg7SBiEHAIDcohodBZ177vHPt93W7KWXzPbYwz8HNhZhB2mDkAMAQG5R0Ln7bj+/1VZmTz7JvXRQuAg7aWT58uU2JxxQHgAAIEuFfXTCGp3y5c2eftrs1FP9c6CwFIskGwYL+aLN+NJLL9n3339vpUqVCpautWLFCtthhx3s7LPPtrJlywZLvR9//DH6BX/aJk6caIsWLbIqVarYcccd59Ytr29/inr16mXNmze3mjRyzZ/odrejjrLoxjfr1MnsoYeCFwAgiy1bZtaggR/jt3593zO8UqXgRaBoXX312qBTpowPOi1a+OdITc+ePa1NmzbuFh1IjpqdQvLff//ZM888Yw888ID17dt3vemuu+5ygWbx4sXBO7yPPvrIhZpHHnnE5s6da5UrV7avv/7aunXrZhdddJHNDO+oBQAAkAVig065cgQdFC3CTiGZPXu261y/xx57WI8ePVzAuffee9dMDz30kF133XXr1NT8+eefdsMNN9hvv/3mHocPH27PPfecjRgxwk444QQbOXKkey+VbwAAINOtWLHuYASq0dEIbAQdFCXCTiFRcNG055572oUXXuiqFVVjE07qfH/aaadFv9jRb3bgtddes/Hjx9sZZ5xhV111lWvmtuWWW1qdOnWsT58+Vrt2bXvxxRdd0zgAAIBMpZbinTuvHYxgu+3MnnnGrGVL/xwoKoSdQqJ+N8WKFbPdNDh8CpYuXWpjxoyxChUq2CmnnOLeG2vXXXe1hg0buqZtb7/9drAUAAAgs8yebda6tVm/fv759tv7UdeaN/fPgaJE2CkkkydPdgMT1FcnzyiFGQ02oBHWEpk3b55NmjTJqlatmnRAgXr16rnPnDBhQrAEAAAgc/z1l1mzZmavvuqf77672euvmzVu7J8DRY2wUwjUp+ann35yTdTmz59v3bt3d31ujjjiCNd07e6777YZM2YEa3vTp093gxWUK1fOttcljgS23XZbK168uM2aNStpaIpXunTpYA4AAGDz+flnX6PzwQf+eZ06Zq+84gf/w8ZTGZF+3RvG0NOFQEGmZcuW9scff7iwoU2qUdX0+Pfff7umaAcffLAbbKBu3bruPWqapn486p8zatQotyzeV1995cKShhQcMmSI69OTl1tvvdX++usv23HHHYMlGll0mRs04bzzzguWYD0MPQ0gFzH0NIqQijYXXmj2++/+eb16ZkOHWrRM4p8jdSoPDh482PXrDq1atcp++OEHe/DBB5NeNIdHzU4hUK2OBidQ0zX1v3n11Vdt3Lhxbnrsscfs0EMPdQMR3Hzzza75mmgnVRiK76sTS7U+W2yxhVsvlUxasmRJO+ecc9wACeF06aWX2umnnx6sAQAAULQ0lHTbtmuDzsknmw0bRtApqL322ss6d+68Tvnu4osvdoNiqeyJvBF2UqAdSffRWbhw4ZpJz9UMTSFENSc33XSTG0FNk3ZKNWlTAm/UqJHdd999bp0PPvjARuvKWVReIaeg9JnqA6QaoHDSc9UyAQAAFLWePc06djSbM8c/P/98s5dfNuO+lwWn8mR8+U6teHST+tWrVwdrIRnCTgqefPJJa9WqlbVr127NpGZrt99+uwtCO+20k2smpuWqXYmnIaQVepYsWWJffPGFW6b1wsCTrNZG/X+0E6t2R+0yU7Fy5cpgDgAAYNMIW4LfeKNZ2M34jjvMHn1UhXX/HIWLoJMawk4Kfv/9d9cM7fPPP3dhRdNnn33m2kqmuqMpgSvczJw50z1XbYsCjGqH1KcnkX///ddWrFjhmrNROwMAANLRlClmZ5xh9sgj/vnWW5sNGGB2/fVmJUr4ZcDmQthJgQYSeP75523QoEE2cOBAN6mj2A033OCaqymUfP311zZbA8knoVCkGpzy5cu756oN0ryaw2m0tUQUjPQ+VVemWrMDAACwqWggAnUNDlrpu6GlR470TdmAdEDYScHee+/thpI+7rjj1kx6rnvqKIQ8/PDDduKJJ9qjqqtNYsqUKS7sqDOZqLZGI7FpJDcNcJCIApRqdnS/HQAAgHShFvj33eeDzuTJftlJJ/mgc8wx/jmQDgg7haB69equOdorr7zimrzFe++999zABFqvgYb5jFKfHfXjUc3O8OHDXaiJ9fPPP9s777xjlSpVcuEKAAAgHaghS7t2ZldeubZ/zuWX+4EIdC8dIJ0QdgqB7oWjQKI+PFdddZXr07NgwQLXDE1B5pprrnFN3Dp27LjmPjvSpEkTd+PRESNG2C233GK//PKLCz/qH3Rl9AiiwHP22WdbrVq1gncAAABsPp99pvKL2bPP+udqna/+OX37mm21lV8GpBPCTiGoWLGi9e7d2wUe1eDovja6307jxo3dKG260WeXLl2sk4YpiaGbQN12221utLYHHnjATj31VPe+Zs2auWGqW7du7UIPAADA5qZ7buueOboPrey9t9mrr9I/B+mtWCTZuMfINw0VrVqaqVOnuoEFNPpa6dKl7bDDDrOGDRsGa61v2rRpNnLkSJszZ47r16OhpnVfnhYtWrj3p6pXr17WvHlzq1mzZrAEKZk40eyoo9aOm6mjOQBku2XLzNS0WiXX+vV9D/NKlYIXgbX++svs5pvNHn88WBDVtKnZPfeY7bZbsACbXM+ePa1NmzZWg5sY5Ymwk0UIOwVE2AGQiwg7SMHrr5tde63ZpEn+eZkyZrfeatali/of+2XYPAg7qaEZGwAAANaxeLFZt25mzZqtDTr77GM2bJgPPwQdZArCDgAAANb46iuz5s3VYsRMg8XqxqCqyXnvPd9nB8gkhB0AAADYqlVm995rpm7Gb77pl+20k9nQoX45rRyRiQg7AAAAOU7dV3VT0KuuMps3zy875RSz117zgxEAmYqwAwAAkKN0U9BbbvFBZ+xYv0w1OLpvziuvmO23n18GZCrCDgAAQA4aPlw3Rje77TazmTP9MtXmqG/O5ZebFS/ulwGZjLADAACQQ/7+2+yKK8zOOMPsrbf8sipVzO6/3+zll/2oa0C2IOwAAADkADVZ00ADxxzjg02oZUs/IEHnzv4+OkA2IewAAABkuY8+Mjv1VD8AwU8/+WV165q98ILZkCH+vrJANiLsAAAAZKmpU806dTI74QSz0aP9sgoVzK67zuydd8zOOssvA7IVYQcAACDLLFhgNmCA2fHHmz3yiNnixX65bhb67rtmvXubbbutXwZkM8IOAABAlli2zGzwYLNGjcwuvNDs11/98r33Nnv6aX+D0P3398uAXEDYAQAAyAIjR/qho1u3Nhs/3i/bbjuzrl3N3n7b7Jxz/DIglxB2AAAAMtiXX/rmaU2b+n44ohuDXnqpb7LWq5dZ1ap+OZBrCDsAAAAZaMoUsyuvNGvQwN8fJ6ShpD/4wOzBB81q1QoWAjmKsAMAAJBB1A9HTdMUcu67z2zhQr/8kEPMXnnFDyVdu7ZfBuQ6wg4AAEAG+OUXP2T0EUeY3Xmn2YwZfrkGHHjsMbMxY/y9dACsRdgBAABIYz//bNatm9nhh5v16WP2999+uULOo4/6fjrnn29WvrxfDmAtwg4AAEAaUk1O2FxNgwzMnOmX16vn76GjkHPRRWbbbOOXA1gfYQcAACCNjB1rdu65ZvXr++Zqf/7pl6smRzcI1eADHTsScoBUEHYAAAA2s6VLzV580ezYY/0NQXUD0Pnz/WthTY5C0MUXm5Ur55cD2DDCDgAAwGayeLHZU0/5m4G2amU2blzwQlTYJ+fDD31Nju6dAyB/CDsAAACb2OTJZl26mB12mFn79mtDjpqmKfgMH+5HV1OfnLJl/WsA8o+wAwAAsIl8+aXZ//5ndtBBZn37mn3zjV9eubJvojZ6tNnrr5s1beqXAdg4hB0AAIAipKGiFWx0f5zjjzd78kmzRYv8a9WqmXXubPbxx37wAYUgAIWHsAMAAFDIVq0ye+MNH2SOO843WVOgmTfPv96wodn995u9+65/3HNPvxxA4SLsIG1MmzYtmAMAIDP9+KPZ88+bNW5sdvrpZg8+aDZpkn9tt93MWrc2e+21tUFojz38awCKBmEHaaNGjRrWoUMHQg8AIKMsWWL27bdmnTr5oaPbtjV76y2zlSvNSpY0q13b7K67/E1AwyBUpkzwZgBFirCDtDJo0CBCDwAgI2hI6Lvv9gHnkEN8n5sZM/xrFSr4G4NqsIHPPjO7+mqzXXf1rwHYdAg7SEuEHgBAOpo+3TdN0/DQJ55ods01Zp9+6mt3RDcAveUWs/ff17nM3yCUm4ACmw9hJ8d1797dihUrlhZTImHo0e8JAMDmsHCh2XPPmV11ldnBB/u+Nm++6W8IKtHTlF1wgdngwWaff65zq9l++/nXAGxehJ0cpxARiUTSYkqkevXqNnDgQMIOAGCTmjXL7O23zc4/3w8HffbZZvfe64eRFtXWnHOO2Ysv+lqc/v3NWrUyK1HCvw4gPRB2kJbCkDN16lRrr1tLAwBQxFSDoz42GiZa98PR9MQTZj/84F9XI4TDDjPr08fX7Dz9tFmLFmY77eRfB5B+CDtIK4QcAMCmpAEFFHA0ktq++5o1bepvAPrNN/51jaZ2wAFm111n9sUXZqNH+346Rx7pXweQ3gg7SBuEHADApqAmakOHWvR842tvmjTxI6lFT0FuuGg1Rdt/f7MrrjAbNcrsgw/Mevf2oYfBBoDMQthB2iDkAACKypdfmt1zj+9Xoxqcli3NnnrKbPJk/7qaqGnwAdXajB3rA8599/lhpbfayq8DIPMQdgAAQNb57z/fFO3OO33tzXHH+XvdaECBcJCBsmX9UNG332727rs+5Kg/zjHH+NcAZD7CDgAAyAq//2727LNmXbv6Gpn69f28RlWbPz9YKUrBp1s3H240VPQNN5gdfbRZ+fLBCgCyBmEHAABkJPW9eecd35/mpJN8jYyGg1ZtjgYTUP8b2WUXs9NP983Yxo/3AxL07Gl26KEMFQ1kO8IOAADIGN99Z/bQQ2aXXGLWoIGvpbn+erO33jKbNi1YKWrPPc0uusjX9HzyidmIEWZXXunvmVO6dLASgKxH2AEAAGnrjz/MXn3V7OabfVBRwLnsMrNHHzWbNClYKWrnnc1OOMHs7rt9rY5u9Kl12rY1q1o1WAlAziHsAACAtPHXX76PzW23mZ17ru97c9ppZj16+BAze7Zfr1Qpszp1fG3NsGFm48b52p2rrvJ9dbbf3q8HILcRdgAAwGaxfLkf+lkjpKnmRv1qdH+bxo3NbrnF7OmnzaZMCVaOqlnTrE0bs379zCZONPvoI98Pp1kzs913D1YCgBiEHQAAsEloOGjduPOZZ8wuvNAPCa2aG937RjU3r7xi9s8/ZsuWRQso0RLKttuaHXWUH3BgzBhf4/Pcc/69tWubbb118MEAkARhByhePJiJ0tkVAHKBjn3hMU931Iw9FhYShRuNfqabd6q5mUY/q1vXrF07swED/I07w3veiEZNO/VUs8svNxs50uyHH3zAufZaH4zULwcA8oOSHRCJmK1e7edXrfKPAJAL1I5MNEazjoUbQbUxus/Nhx+aPfywHwJatTIaNKB9e7P77vMDCixa5NfXTTv32suseXNfq/Pee77fjWp3+vY1a9LErHJls5Il/foAUBCEHeQ23TJbd5NbssQ/HzXKt5dQOwoAyFa//WZ23nlrhzNTxxi1Dfv6a/88BbrHjcLJvfeaXX2172+z334+4Fx6qR/yWR8X3sxTlUcHHGDWsaPZgw/6w+2335oNHWp2443+pp677ebXBYDCUiwSFcwjw/Xq1cuaN29uNdWDExumS4m6E93ixcGCGAce6M/A1asHCwAgS6jtmILOzz8HC2JUq2b22ONmJ58ULPAV3hohTbU2v/zia240KppCzJ9/mi1dGqwYR7UyanamEdM0mtree5vttJNZpUrBCgA2Ss+ePa1NmzZWo0aNYAkSIexkEcJOPrzxhm8YruZruruczuZqxqGxTPWo5a1b+160RdCOHQA2i4ULzY44wuybb8xKlPDLdMxTO49i0UkteWvtYT/c9ZZ9s2I3Gx8NNhotTZMGFkhGh1HVymjQgIMP9qFGIUc1PQCKBmEnNYSdLELYyYeTT/ZtKMqXN+vSxax/f9907cQTzebNM/vsM99xV3ekO+SQjW7LDgCbndqRvfSS2e23++dqb6bRAaZMsRmV9rEJJQ+xk/4ZZCWiiadXiZus28rb/HpxttzSbIcdfH+bPff0AUf3tVHY2WabtWMeAChahJ3UEHayCGEnRbod9+GHm02f7m/moJs06EytXrPqMaurnWEj86228r1jwwEMACDdqEYmJdEVdZwLB2KpUGHN8w/tCLvEHrLhdqbtbr/aQGtt59mzVqLkFrbN1r5lr+5joz43CjiquaGVL7B5EXZSQ9jJIoSdFKn5RsOGZnPm+F606l1btarZv/8GKwBAbnnMWtrlJZ6xd4sfbwcv+8D+3OtYG3vVm7bznqWsXl2fi8JWbwDSA2EnNYSdLELYSZEGJNDlyR9/9A3K33rLj0ikR7VdVz+dmTP9uo0a+bYaK1b45wBQ1MKaGj1q0tDLChqlopMqmf8zW7bEbO5csxkzzL77zmxh9LAW23osPLFrdR29VkY/aEl0jSPsMzvWvnSvTaxwlEWOOMr2rrWFjT/+Glv541Q7+rqjrNTy6A9of7bZwOixEEDaIuykhrCTRQg7+XDrrWbdu/t5ddbVfMWKZmPHmt1xh9mCBb6NxjvvWPQo4tcDgM3g92ig+fsfs59+8iNG61GjoH31ldn8edEgk2Q0tFDVXc22395sz33MztjyHWvZr5HZqtW2dM99zW65xUrV3t22+D36ofdGj33vRT9UfXs0bnS0EAUgfRF2UkPYySKEnXzQIASnnGL2ySfBgqitt17bV0defjlaMjgjeAIARWf+f/4aiyqV/1Rtzbdm337nb3/z7yx/yJo/N1g5gdJbmlWqbLbjDmY19zSrUd2sbjTL1NzDbNtto4e3baKvRw9xrs7n4kvM+vVz73MqVTSbE/PhGpZag7bQbg1Ia4Sd1BB2sghhJ59UirjpJrMhQ4IFAd1nQjcWbds2WAAAG0+tYdXsTJPuW6NDkAaBVC2Namw0dorm86KRzjSI5C67+KGd940GGt23RoMGaAABLd8gDUpw111mDz1kNnt2sDBKg7Hojp+q+VZCApDWCDupIexkEcJOAaj0oVuAq8+OGsAr6KifDgcOAPmks6myQzgpyOjQoptxatJ9alR7899//nY3G6JxUzTEs4ZzDu9Zo5HwNWikBgzQTTs3in45Nd3VY716Zkcf7ceRBpARCDupIexkEcIOABQtjUKv1q4KLL/+6mtiJk70IUY1Nnqux3CMkw3RPWsUXsLhnHX4VsjZdVdfU6N71+hexwAQj7CTGsJOFiHsAEDhUGDR6PRqWqbgMm2an//lF7Pvv/cDN6p2Ztmy4A15UIswTao4Vk2NHlU20aNu8aWuMeXK+eCjsQEAIBWEndQQdrIIYQcA8rZ8udmSJb7bimpjFGAUZNTsTM3M/v7bhxjV0OjWW6ncfisMK+o7s+OOfrT6nXc222cf39xMy6pU8UEHAAoLYSc1hJ0sQtgBkOuWLvU1MbGTgoxGM5s+3YcbTaq5UZc9hR81TUuFmpeFwSVsaqamZ5pXMzSFGfXx1wQARY2wkxrCThYh7ADIVgomqpFRrYvCi/rNKLCoJka1MJMn+2ZnWkfBRvN6TJX6xZQu7Uc6Uy2NamZUQ6Pbbe29t6+10b1q9KgBAzQqGgBsToSd1BB2sghhB0Am0+hlGpJZIUWPGsFMoUXhRs/1qGCjKb9nruLFfY2MamO22srX0GjSvYRVO6P+M2HIUQ2N1geAdEbYSQ1hJ4sQdgCkEzUp06RmYhq9TCFGHfoVXNQ/RuFFTcs0r9e0jmpsFi/270uValo0opkeFV7UT2aPPdYO3axygGpkFGb0upqZKfAAQCYj7KSGsJNFCDsAipqCy6pVvoO/golqWRRUwqZls2b5Sc3N1MxMgwDoPeo7o+d6b34omKhpmcKKhmFWoAlrYrRcTcsUarRcj4QYALmCsJMawk4WIewAKIgwuKi/i8KJnmsUsrBfjCYFFoUYjVym4KKhl9W5X+uqtia/IUY01LJCjCYNzaybZG69te8ro+cKNWp2phqZsD8N95wBAI+wkxrCThYh7ADQET0cZUwhRIFFtS6//eaXqcZFfWFUI6NwoyZjen3uXP+a1lfgKSiFEtXGKKCoOZmakanWRc/VZ0Yd/rVMzc7UpGy77fxyzQMAUkfYSQ1hJ4sQdoDspeCiGpX4gBLeL0Y1Mer/on4vWk+jlKkmRjUuCjn56QMTT0FFoUSd9tVMTE3HVAujeQUaNSnT6wo1Ci6qqdFz3X9GNTF6ZPQyAChchJ3UEHayCGEHSE9q8hXWuISTQosmhRWFF3XaV62Kgokew/vDKMQoqGidcF7vU9BJ9f4wsRQ6FFpUs6JJNTFqOqaQopHI1FRMo5RpmZ5rHYUdNSvT+8qU8fMAgM2LsJMawk4WIewARU9hRGEl7ISvGhdNCiIKLqpZUTBRbUs4qZZFNSxaP3aZPkeBRdPGHokVRMKgonASjj6mEKNwohoYhRctU22LamP0XOFF79UEAMgchJ3UEHayCGEHyJtCicKKwoWCh+bDsKIAohoVTeqQr9di+7BoWWxnfC1TLUtYU6N1C0OxYr62JXZSczH1aQlrW9RETOsp2Ogcp9cUWjRpXu9RqOFO/gCQvQg7qSHsZBHCDnJJWHuimpRwUuAIH1XzEi5XOFGzMK2v96lZmZ6H629Mf5a8qKZF/VUUPMKmYmpGppqWsNO+alzUVEzratKycNJzvaZaGj0CABAi7KSGsJNFCDtIZ6oRCYcrVk2IHvVcQUNhRCFENSe6Z4uWK5ioz4ruqq+aGPVpUT8VLQ9vTqnPCGtnwseC9GNJRCFFAUXhRDUrCh+qOdFwyZrCmpZwUmgJH9V5X5341VxM71cNS1hDI3o/AAAbg7CTGsJOFiHsoDAoeOiooNAQdqxXDYjChB7DoBE26QpfUw1J2JxL62iZAoyWqUO9XtcyhRu9T8v0WljTohCjn11YFDLCoKHgopoU1ZSEoSSsSQmfq0mY1lcNStgpX6FFfVm0jt6vsMJ9XgAA6YCwkxrCThYh7OSe2EChEKHQoBAR1pTE1phoXoEiDCZhaAlDSPiodcLwoZoULQtDj36OJn2WlhVWLUpewuARdqRXjUrYhyW2iZgCiQKL1lOI0b1cwn4tWkehJww+mjSv1wEAyESEndQQdrIIYSe96JulKTYohI9hUFDndz3Xo5bpUSFEy8LQEbtOuF4YXhRkwrCjkKPX4sOOAs2mEgaKsEYlDBQKIppXWFENSVhToqZdel3zCiwKIeENJhVowvUVeMKwo/4ragamzwMAIFcRdlJD2MkihJ2NFzbdUlDQo2o7FCxil4XP1VxLkwJFGEJiA4rmFUL0GeFrYWjRvN6nKQxE+tmboqYkFAYS1XooTChoKGDELwtrVjSvkKLAoXXC2pRwefio5XpdtSvhvN6jUKNJ8+FzAABQMISd1BB2sojCTosWzW2PPTIr7GgPVKFfQSB8rqZTKvjrMRQui62pUC2IgoIK7goQek3raLkK0wojCinhuhL2H1GBW5+p5Zr0vrBWJOw0r+exy8J1NgX9/goKChHqJ6JaEP2dYad3PaoGROup1iOsMdF79KjXwxqTMJxoff3dqhnRZ4TzYa2Jfka4LFwHAACkH8JOagg7WeTOO2+ztm1b2U477RUsyT/tDQoIKuQqRCgUqDCtwKDCvihUhMJaCz0qCIQBQ8FFAUHLRe9XENHn6nNUO6J19Vl6X1gDotfD94XLtJ7WiV2WrnttGBQUGhQ4wg7t4aOWhTUmqi3RMj0P1wnfF/Yx0WthUAmXhY+qOQEAALmJsJMawk4Wuf76V6MF7YOiBeMdXBhQcynVXChAKICENRLqdC4KIGHo0DIFCgWNsDZFn6Fgote1TKFGyxRawr0mrEnRlK4UDPQ3hDUk+t0VSlSboXkFjPA1LdP6Ch4KLXpUbYgChtZT+NA6WqawoffoUcu0jj5H79ej1tfr+llaFv5MaksAAMDGIuykhrCTRVq2NBs6NHiSRlS4V9iILeSHQUHhKjZIaJnWU01GSPN6v9bRugpWChPhZ2iZ6H1hbYdChcKK9m4t0/u1rsJL7Pv1eljrovXD9wMAAKQzwk5qCDtZJDbsqBZBVIhXSAgL9QoEmlfBPmxypUctU0BQCNBj+H69RyFEoUSfo+ChsKDHsBZDza70fgUFraOfob4iChiiea2rxzDw6H3h76LX9PP0qGVhMAlpXQAAAKxF2EkNYSeLdO36klWterjttltVF1DCAKMAIlqmMKGwonmFC4UZPWqZgo/mAQAAkN4IO6kJrrMjG1Sq9K21bv2fNWli1rCh2bHHmh1+uFn9+n7ae2+zPff0jzvv7G+2qBoaBR/VyhB0AAAAkE0IO1lk1aoyNm8e/6UAAACAUDIGAAAAkJUIOwAAAACyEmEHAAAAQFYi7AAAAADISoQdAAAAAFmJsAMAAAAgKxF2AAAAAGQlwg4AAACArETYAQAAAJCVCDsAAAAAshJhBwAAAEBWIuwAAAAAyEqEHQAAAABZibADAAAAICsRdgAAAABkJcIOAAAAgKxE2AEAAACQlQg7AAAAALISYQcAAABAViLsAAAAAMhKhJ0U/fnnnzZp0qTgWd7mzp1rX3/9tX333Xe2cOHCYGneVqxYYVOmTLEvv/zS/SwAAAAAG4ewk4I5c+bYeeedZ927dw+WJPbvv/+6dY4//ng744wz7PTTT7eTTjrJHn74YVu0aFGw1vpeffVVa9q0qZ1yyinWokULO+GEE+zCCy+0yZMnB2sAAAAAyC/CzgYsW7bMbr31Vvv4449t9erVwdL1KRBdfvnl1rdvX9tqq62sdevWdtppp9m8efPshhtucJ+h2pt4Tz/9tF188cX2/fffW4MGDaxDhw5WvXp1e/HFF938t99+G6yJovThhx/ap59+GjxDfo0ZM4Z9dSPogsevv/4aPEN+vfTSS/b3338Hz5BfgwcPtgULFgTPkB+rVq2y559/PuH5HRu2ePFie+GFF4JnQNEg7ORhxowZ1rlzZ3ciKFeunJUoUSJ4ZX2PPfaYvfbaa3byySe7oHL77bfbfffdZ88995zVrVvXBg0aZCNHjgzW9tTMrXfv3lamTBlX+6PPuOmmm9z7O3Xq5Gp2+vTpY0uXLg3egaKiguZvv/0WPEN+/fjjj+77goLRxY7Zs2cHz5Bf33zzjf3333/BM+TXxIkTOc8UUCQSsQkTJtjKlSuDJciP5cuXu/0PKEqEnQTU5GzEiBHWpk0bd8Vw5513tuLFiwevrk9XFLV+xYoV7brrrrMdd9wxeMVsv/32c8tUK6TQpJqi0CuvvOIK2W3btrXGjRsHS83Kli1r119/vR122GHuivkXX3wRvIKiUqpUKTehYEqXLm0lS5YMniG/dMEjr2MM8qbtt8UWnM4Kasstt7RixYoFz5BfbL+C03bT9gOKEmeHBB5//HE755xz3IABV1xxhV111VUurCRrxjZ+/HibNm2aHXDAAVarVq1g6VqHHHKI7bnnnu7qbdgPR4Hqvffesx122MGOPvpotyyWAs+RRx7pqsbfeeedYCkAAACAVBF2EtBoagogzz77rGtWVrVq1Tzb4/7yyy+ub85ee+3lrnDHU42PQtAff/xhv//+u1umwQymTp1qVapUcX10EqlTp467Wq6QlKq8mtohOV0V5spwwWnbUTNRcGy/jcP22zjafpw7Ckbbje1XcOH2Q8FQo5iaYhE1OMU6FEq23XZb1zRC3nrrLTv77LOtYcOGrj9NvGuvvdYefPBBu/POO10fn0S6dOli/fv3d/14NNKaBjzQIAa77767a86mPkHxxo0b536uQs+wYcMSrhPr5ptvdqO/1axZM1iCVA0dOtQ1Y9MIesi/J5980nbbbTc3yAbyT8ePo446yurVqxcsQX6ob2Pz5s3dPoj8Ux/Tiy66yJ33kD/qq9OzZ0/XXD0sMyB1Ghjj/vvvdxeWkX869mmQK459eSPspGBDYUejsA0YMMCFmXbt2gVL19WjRw+744473NDUOiiqaZrW1eAFb775ZrDWulSjo+God911VxsyZMg6fYES0WAIuk9PhQoVgiVIlUaEoe1wwalZpq7QJarZxIbpflz0Gys4FZg0CiZX1wtG208X07jCXjDz5893512usuefugfo+Ee5Jf80EqAm9fEuX758sBSJEHZSkFfY0eZT2NFIanmFHY26puGnb7nlFuvatasbeEBDS+cVdtRnqFGjRrbLLrukFHYAAAAArJVTl3E0xOFPP/3kakwmTZq0ZtJz3SdnY+Xnqk6qV9DIogAAAEDB5FTY0RDRun9Ny5Yt3XDPmjS8dIsWLVztTUEo4IRNJxSmklGYUsAJ2/Rq4AE9VxWuqiETmTVrlnud5kEAAABA/uVU2FG4UJt4BYf4aWPaeleuXNnVwMycOTNYsi69phve6VEju4lGYdPPVF8HjcyWiEZ40yhwastaqVKlYCkAAACAVORU2NE9bXQPHY1+9vLLL6+ZXn31VTcQQEHppqMKUX/++WfCZmfqfKfXFFi23357t0y/i0KSOob+888/blm86dOnu5odfT4AAACA/MmpsKOaFHXy32mnnaxatWpu0rwm3cSzoDTIgD7r888/d/foiafQ8t1331mNGjXcvXhEI2fUr1/f3Xfnm2++ccviffHFF25YS92UFAAAAED+5FTYKSr77befCy4a/OCZZ54JlnqqmdFIbWqqpnuQqEZHFLxOPvlk17ROQ0bH1+5oaOq3337bjZ1+7LHHBksBAAAApKp4d934BXn65ZdfXHM31cxoMIN4GqRAIWb06NH2/vvv29KlS909H6ZOnepuIqoApNof3bhtm222Cd5lbkhpfbaGnv7xxx9t6623du99/fXX3X15NEDBjTfe6G42CAAAACB/uM9OChQ+zjjjDHfPm9deey1Yuj71BVKgUXCpWLGiq9XRzcbUDE3LDz744GDNtdTETffeUb+h4sWLu5CkpnDq36P791x22WXcqAwAAAAoAMJOCjTK2oQJE2zbbbe1Aw88MFia2LRp09zNQBV0RM3V9t13Xzf6WjLLli1z/X00MltIfYv0PgAAAAAFQ9gBAAAAkJUYoAAAAABAViLsAAAAAMhKhJ0MoHvtbCqb8mdtKqtWrQrmUleQ90hB35fONuU+wfbzCvIetUgO+wpmm02xD2bjsS+Un+8Vx76ik8372MZguxQNtuta9NlJUxqSevjw4TZp0iRbsmSJG7DguOOOs5NOOsmN2hZP/41jx4613377zUqWLBksXUs7/XbbbWcnnHCClS5dOljq/fXXXzZs2DCbOHGiLVy40KpWreru7dO4ceOMHQlO223EiBHu3kfLly+3nXfe2f3t2oZ5GTNmjNuOGiVP20mDRGgkvl133TVYY30aYlw/SzeH1dDhGlJcI/cdf/zxwRqZR/vCqFGj3GAb2v80ZHq9evXs9NNPX3OvqFhaR0Ooz5s3L+H+qf+DmjVruntNxfvhhx9s5MiR7v9sxYoVboh33YPqyCOPDNbIPJ988onbl7RvaJ+oXLmyuxdX06ZN3UiNiehv13704YcfuvtuVahQwY3geOaZZyZ9j3z11VduNEft6zoO7LHHHnbqqae6n5fpFN5uu+02N9CLhuFPJJVj3/bbb+++/6VKlQqWejNmzHDH2dhjn763p5xySrBGZtP38qabbnLHL43smRfdOkHb8Y8//nDHPt0/Tsc+Hc+S0f6t7fftt9+uOfalcpzNRD///LO7tUSi45toP9TxrXr16sGStTSiq+6dp/1NI64ecMABbtvqvJ6r5syZ427poZuna9RalU+OPvpod4zU9z3X6dz7wQcfJC3vicpp8d9PvabzwXvvvbdmf9O5QPtbonN3zohuGKSZaKExcuCBB0bKlSsXqVOnTiRa6ItED4qR6Ak7cvHFF0f+/fffYM21ooXMyGmnnRapVKlSZNttt41EC1frTFtuuWXkmGOOicydOzd4hxctKEWiJ/dItGAV2XPPPSOHHXaYe79+1nXXXRdZtGhRsGbmGDx4cKRu3bqR8uXLR6In7Mjhhx8eiR5II9GCTOTaa6+NRA+swZprLVu2LHL77bdHqlWr5v7+Qw89NLL33nu7z9D7owXQYM11able1/arXbt25JBDDnH/BzvttJP7PH1uJokWDCMPPfRQJBpM3N+k/e+II46IRMOie6596OOPPw7WXuvHH3+MHHTQQZEqVaqst+9pihZCI+3btw/WXuuNN96I7L///u6zo8HS7fdbb711JBp4Ig888ID7fTKJ/r/vuOMO9/vr79DfpP1D+56eR0NcJBqKg7XX0vdX323te1pX74kWUN120fc6WtAK1lyX9nXtd/psbcdwW+q7PGjQoGCtzKW/QcfB5s2bB0vWp2NakyZNkh77ypQpE2nYsOF63/sJEyZEooVyt7322muvNce+aIEg0rVr14w89sW777773HfvoosuCpasT/tsjx493H4XHvu0PXTs03f/o48+CtZcV7Tg77aZ1guPfdFQ7o59+g4sX748WDM7PPLII+68qHNJ/D6mv3ubbbaJjBw5MljbW7x4caRbt25un9L7tL322GMPt82iBVW3D+YiHc90XNNxa7fddnPHO20j7X+XXHKJOx7mOp3/tM8k2980RUNNsLa3cOFCV8bRfqpJ23X33Xd3+5uOdV9//XWwZu4h7KSZSZMmuYK6ws2dd94Z+emnnyIzZ850BUwdHMqWLet25tWrVwfv8LTePvvsE6lXr16ke/fukT59+kR69+69ZtLJ7Mknn4wsWbIkeEfEfa4KX/rSXH/99e5n//XXX5G33nrLFWpVCOjbt2+wdmb45JNP3JdbBUUV2n/99dfIP//8E3n77bfdl10Fp169egVrr/XEE0+4wpJORiqAz5gxIzJ58uTIzTff7A7ACpx//PFHsLb322+/ueU6GOnkrgL/n3/+GRk+fLgrtOvznnrqqWDtzPDSSy+5wKLCzuOPP+72q7///jvy5ZdfRi677DK3r2gb6W+PNXr0aFfIadCggdu+2ndj979bb73VbZdY33//vdtf9T4d2H/55ZfI77//Hnn++eddyNLJL77wkO4GDBjgCj36u5577jn3N2n7ffbZZ5EOHTq479QJJ5wQmTVrVvAO78Ybb3T7ZtOmTd0+rPdMnDgx0rFjR3eiatOmjTuRxdJ6CqXa37X/Tps2zU2PPfaYW1a9evXIe++9F6ydeZ555hn39+nkfu655wZL16fvnY59BxxwgNvP4o99t912W2TgwIGRpUuXBu+IuO174oknuu+oCqPhsW/UqFGRo446yv0/3X///cHamenhhx92oVt/45VXXhksXZ/2F62jYKO/X8c+bQ/tk9r2Rx99tDuuxZo6daorSOnYp++7jhNaZ9iwYZH69eu79+n/L5tceuml7rx8/vnnR+6666519jFtA50DdM6IpfOnCvQKNjoHaR/77rvvIldffbU7Tmgf1Hk4l+iiQ6tWrdx3TNtUF3/0fVR4VnlEx0Gdd3OdLlDoAsQFF1yQcH/TpGNfrLvvvttt10aNGkXGjRvntuu3334b6dKli9sPGzduHJk9e3awdm4h7KQRBZgrrrjCXYlLdHLSQUGFQBVEdTKK9e6777qd+eyzzw6WbJhOcgpPKkjEX4X74osvXM2GrkzHF2zTlf6Gdu3aRUqVKuXCXTwdTHUVSYUiFapDqilTAX6XXXZxJ6R4nTt3dgdgFaJi6aCjGjP9n8UbO3as+zwVIDLl4LJgwYLIKaec4go+KhzG0xXg1q1bu5O0wkws7Uva7ipYpkL7+jXXXBPZaqutXAE13tChQ92VKf0+sQE9nenEov9vhbQRI0YES9fSSV5/jwqCCpIhfa8VTLRfxtfg6D2nn366C5mxYVE1Xv/73/9cEFJQjKfQpfe0bds242rHVNhWQVsnetW06jGvsKOTuk7wea0Tr1+/fm7fUwBdsWJFsNRTMFXNmGqFY48TmUKBV8ckBREdg/Q9ShZ2VNBWTY7W0zkkni5w6NinwlYsFex17FMhKp4ufKgmWKFxzpw5wdLMpn1E311dmEn16vj06dPd+VM1OePHjw+WejpXad/T91f7Yi55+eWX3fdVF3Z0zomlwruOgzpPq5Ceq7R/KLDoe6lwnAp973XRR+VDXZyMpXO3ykba32LPPbmEAQrSiNqnq4212vOqb0S86AnYojuza1Otfjax1F5fdt99d/e4Ifo5aqMdPWFZs2bN1mvrrjaean+snxU9CQZL01v0C+36PURP3q7PQry6deu6bagbv0YDTrDUXDtsLdMNY9UGNt5ZZ51l0YOE2w7qkyJ6jBayXF8KtYWNpzbr+j3U9+qjjz4KlqY37VPqdxQ90bg+R/HU30H9uOT77793jyG1Z1c7f/UXScWff/7ptovarCfafqeddprrLxUN9e6Gu5lA+9DkyZOtdu3adswxxwRL14qe4F2fO/VtiN1+b731lmuzrn0m/vur97Ro0cJ1/lYfoLATuL7v2i7q35ToWNG8eXPXR0o3Q9Y2zBRqa64+Svfdd5/7vp599tnub46eq4I11qdtob6F+Tn2qW+K2rLr2BffP0D9pPT/p357aveeSV544QX3fXrsscdcnzdtSx0Tk20//X3ab8O/OV7r1q0tGnbcsU/7qMydO9c9r1Spkvv8eDp26PPU5+Djjz8OlmY2nQdnzZrl+pWo/2cqwj46RxxxhB100EHBUk/nW51XdMzUerE3FM9m+i6rb+cWW2zhjls6r8bS+fnEE09052dtl1z1+++/2+zZs10fm2jADpbm7e2337a///7bfe9Vhoylc7f2N+13Wk/HwFxD2Ekj6oj28MMPu4PBIYccEixda/Hixe4LoJO0QkosFbK0XJ1KU6HOgepUussuu9hee+0VLF2XvjAqRIwfPz5Ykt50Un7mmWdcJ28VOOMtWLDAnai1XpkyZYKl5gr4//33X9IO3epwuvfee7sCqg5CopOYCpEq3CscJKLPU8FWHTAzgQov9957r3Xr1s3NJxIWmhTMQzpwqsCp4FKrVq1gad7UmVzv0fqJDuY6OGv76f9LncczgQpBDz30kF155ZVWtmzZYOm6wu0XW/hUINFJaP/99w+WrEv7sj5b+5H2YVFBUttQFz+23357tyzW1ltv7T4vDLCZQsc+7ReXX365DRw40A0WsHz58uDVxMJjn8JxKnQM1bFPnfaTHfu07+nY99lnnwVLMoMGC1CBR9/hxx9/3J1HdBEoma+//toNzBBfOAppG4XHPhX4RRcqdOxTmFbYTkTbT8eFTLlQsSEKhBo0RAFcF7hSoYFDtO8m27Y6dyig6/9An50LFOr096oQn+gcLTpu6fucad+9wqSBP2bOnOn2Nx3LU6HzpC5sJCvH6Psa7m8K7rmGsJNmFHh0MI0fMU2FZp28dPJQco8tVKrgpAKCClgqNPXv399atWrlRhQ6//zz7cUXX3RBKZZOXCrga5StRIUlUeFVJ3wVmDJlWNFw+8XXVOmEru2ik7auoIcj5mjb6eQtya6gaBttu+22rjYnPEgo9GibVq5cOWkwqFq1qgsFCkaxhdt0pb9RtQi62h0fpkOqzZLYGhztRyp866qnrv727t3bXV1WLVDnzp1dzUX8/qOCuvbpKlWqrHd1L6T9T4UFbb9MoP9vXQnX3x2//4lORLqSrqAdBmSFF53UVLuQ7Iqx/l+0jbTvhTWL2v+0bVRoiD9WiK6cavupwBlfC5zOVCOr2p2ePXu6339DV7z1vfrxxx/dBQx99/v167fOsW/o0KHrHftUYxMe+7TPJhIe+xQcMuXYJ23atLHXXnvNhR0dB+P/9ljhsUl/Z0GPfckK/uGxT/teJhz7NkRhRyFZ20k1Dpdccon7nqsG9c4773Q127H0Xdffru9hsu+1zhuadOExtqVBNtO5VvuSvq/6jiWi5Tp+6ru3oQsd2UphRxf6tL+pFvriiy9es7/ddddd9uuvvwZrerqgoe2lY2Be+5u+r9qPc2V/i0XYSWM6WaiJla62/+9//7P777/fDc3Yp08fdxIKaSfXAVMnlZtvvtluv/12dxVYVzxfeeUVu/TSS92XJSzUi75IOonroJPshKUvhwphKhiEV5QziU44avpz9913W/v27d2VYhWmevTosaYwr4OEClQ64Sc7+Kowqe0kYcFbB2z9/6iZUbJgoO2ng4/WzevqaqbQ8NDantpOCkQhBRf9fdqnNLytaid19ei7776z559/3s477zw3bLACZ0jbRPtruI0S0WsqLGjf1rbOdNoWarqnq+FhM0t9t7TtdHJPtv/pyp72MX1f9V2XcPspLCajY4S2XyZdxdOQ44cddljwbMP0fQz3Dx37FJJij32dOnVyBdPYwBce+xQgY4+jsWKPfZoyhYbtTVZDGE8FyVSOfbqIpn0t/tgX7peJZNuxT4VP1TZoOP6OHTvaG2+84fYxDTGvsNOyZUs3vHRIFxkUCLUNkm1bfZ4mbctMuaCzsfTd01Dw+ruTXWQNL1Zq++lCUC5SuNY20j51wQUXuP0u3N969erl9jddRAylsr+pDJNr+1sswk4a00lWO7YmHVx1wlGNTnw4UZMCXa3UVfU6deq4dtu6gqygpAOxmqqpeYPuVxGeeHTAERWGktHJTK/ry5FJVzdDOlDeeuutLhzq6ogOoKo6D4OLhH+bTvjJCt3aBuFBItwO2n76/9jQ9pNM3X6x1KTglltucYUjBefYJkOqPtfVIhVs1F5fV5a1/6lt8PXXX++2t664KwRpm0mq+59o22kbZjKFxDvuuMP9/artCmsWtR30t+W1/6lQrkKn1gu3W7g/5bX9FMT18zJ938uLamp1EUfHPjX5GDx48Jpjn2oYdZVTxz5d4Ig/9mmbJ6N9T69r22Xr9ov9XiXb97Rcx77Y/UiP+Tn2Zfp3V4VIXbzRo/YJ3bdI+5cm7W+qRVRtV9euXV2TVIndtsnuGaOmuvHbNtuF+05exzvtO3pN2y9XtkssXRSM3d903g33N10wU79PhaFrrrnGrSex+1uy7ar9Ta0KtP3DY2AuSX60wmanAo4OoDpZqy+Kml+pdkJNhHQjxpCaDKjJxrXXXusKlWrmpupPneg7dOjgCvtaJyyEpiq2MKAvSKZRYU8BT9tP200DEPTt29c19VBtRFGL3X6ZTLURukKuA6yuMl144YXBK54CpJZ1797d7rnnHtdvTPufmrpdddVVbr/U1eGnn37aDdiQqmzZfroqpz4oajrQpUsXa9u2bfBKagq6HbJl++VF+5mOfdddd509+uijrjN4eOxTjaIu9qipn2p5dLPWVOXCtitK2bT9FOpUE6tjoPrkqZWALiBqPzvqqKPskUcecedmNQ1XU3OJ/fsz8dy5KSTbLrn+3dP+psEbtL9p3zr33HPd8Uz7mwYR0XFOg0cpYCfa35AYYWcTUhMUFfxUMNSOHDax0PNEJ2KlcO3cCi9NmjRxO74edfVITbPCg4Vqe5T+lfQTdYzWCGP6cujq56effuqWhVeb8joQ6wqDXtcXKa+reJuK2qleccUVdtFFF63Zfqpl0KM6g8bTFXH97SoAqdmVgqC2p66Q6KQl2g762/R3JrsCqeW6Khy7HcKrJ3ltv7C/QbpsP3VUj91mmrQttU3V5ysRDfaggKOQon1V+5muEMXS/qlaCxU6E1EfCnWkVyfccLCLVPc/0bZLh+2nJgTaXrHbT99dfafDztvxdJFCzUgVdPT91Lqxf4v2Iz3Xdki2LXSFT00yC7L/pcu+p2YTyY592q4FpaCtffLqq692V8njaYADHftU6xge+xL1p4oX+93VtLmpT0iyY194dTe/tF+E+0ay/SjZsU/PN7TvSbrsf3lRc1t9R2O3reZVA6umQzoPqxm5gnOigYN0UU0XFXVxUp+lZqNq3rehbaur6/HbNtuluu/oda2nKdfoOKamktrfdIE2nmq+FLh1HtZAK2pVoX00lf1NTVdzaX+LlXt/8Wakfi/qfDtkyBB76aWX3KQOtHquq+YbouZAulqpdvpql65kn6qw2UzYbydszx+29UxEB20VsvRzdUDf3FRgVC2NBlyI3X56jO2PlIy2mw4SCkEq+Kj9sAo+YVMCtf1PRAcI/d/pIBG2M9b20PbTtktWJaxmdKpe1sFJJ8LNTf0WXn755XW2n+aHDRu2Xr8ObY8HH3zQnfC13W+44QZXS6aDan5p/1E7YhWcwn023J/y6g+h30nvUbPNdDg4qzZQ+1u4z2nSd1e1BuGwvCHtE2p+qoCj/Uf96FRLG/936OKETlpaP9n+p5OZ9jMFxLBDfdgUM/7nxtL7tP3UkXxz0++p7RT/3dXzVI59GyM89oWBVMc+Fbq0TZMd+/Td1f+JjhXpcuzT9zR+++mxoO3vdUxSoTyvY58K4/HHPm0TPVehNFkzo9hjX/zFkXSji5CpHheTUS22jo3az/V52rZ6ru9fsm2r7acLOjomJOu/km207+i7p/1K599EtO/omKnzcl59EnNZ7P6mi4j6Hof7m477iehcG+5vqu3ONYSdTUgHNBUYNdCAamY0qdmPnuuKkb7gOlCqiVqydK6hA1XQUQgJDxYKLDrhaXSrZHRy0meGhVVVi+oLoi+ATqSJ6Euj96iAlcrV0KKmjt0qQOoeHOH20+ANelR7fR1AFXqS1VKIhl/UNtC21vbTdtEXX39nslGrdIDQQUXbPSxsavvphKYrxskKnNp+YSEhHQrr6s8Vu800aVuqb0Ps6Graj9TZW/2d9DdqH9WV82Rtz7UPadslC32xYvc/7VPaRtp/E9Fr+pnpcmDWvTK0vWK3n5pF6jutZqIhFQ7VfE/NR3WyVi2iascSUZBTZ25tu2SFVu1fKhipkK51Rc1oVGjQdzdRgVP7s7afCprpsP0UdrWdtL3Cbaf9Ss/j70GSH6kc+0KJjn3aRolouQoO+v9Ltt9vShq9T9/TRMc+1ZoWRFjI1t+Z7NinbaT9OfbYp30vlWNf+PnpcOzLi1pGaISr2G2reV1Z1/lC3y+FnmT7Siwd0/S9FG0vvTfZ91rbVZMCQK4U6tUUS/uSLjIo1CSicKjyjUYB1Pc01+Rnf9OxKawt0z6k80iy77L2NZVldPEmJ0Nk9KSINKG7p+uuuboL+6+//hosXddXX33l7u4dLdxHpk6d6pb17NkzUrt27Uj//v3d80QuueSSSPRkv+Zu69GdPnLyySe7O/S+9957blm8aAHX3U0/0R3a05G2zeGHHx454YQT3J3BE9HfGj3guvWiwdIte+qppyLRL3/k/PPPd8/jff311+6Ozsccc8ya9+jxyCOPdP8Xej2R8847z93F/Nlnnw2WpL/oSSZyww03RKIF68j+++/v7oael+hJK3LRRRe5u16PGjUqWLquaIHJ7WuVK1eOvP76627ZlClT3B3q69Wr5+78HC9aAIucccYZ7v8qfE8miBa+I506dXJ3CNc+9vHHHwevJBcNlu57Fi3MBkvWNWLECLd/nn322e5O2PLFF1+4fU/7YDTwuGWx9P0+9thjI7vvvnvko48+CpZmHv3t0UDo7v4dT/tIjx49ItEQHxkwYECwdH3aP6OFpkg0dLrn2jYnnniiO/a9//77blm8K6+80u2v4Xsy1ZNPPhkpW7ZspEuXLsGSdQ0cONDtWx07dgyWrGvixImRGjVqRBo0aLDmmBotTLl9W3dq/+abb9yyeO3bt49Eg07kueeeC5Zkrk8++SRy2GGHRVq3bh2ZO3dusHRdb731ljvW69wTDYFumfYd7UPJtr2+lzq+6diY7HOzzfLlyyOtWrWK7LDDDpHhw4cHS9d1xx13uPPPrbfeGizJLR9++GHkkEMOccf7+fPnB0vXpXNiNAxGTjrppEg0xLhlffv2dfvbNddc457HU9mnatWqkVNPPTXp52YzanbSiK5+6oqG+lZomN9E1IxLV0R0NUpX2ERXLNWm+8UXX3TpPZ7uzaN7A+iKpvpXiJrPNGzY0H1W7JCZITX5UN8WXQXQeplAV9d1pffLL790NydMRE0UtI00mpiuOor68Wjbq9+U2mjH00h4qnFT7Vv4Hl21U18gNctSB/R4GiFPTeW0njqxZopo4ciiBUd3s0UN6qDR1fKifU9XhtV2WPtfIvq/0Ihtujlh2AZZNyvUXda132qksnjqx6H/R+3jhx56aLA0/amWVqMh6u9Uf51UhlHWNtYVYW2H+KYd2rb6fqpmR31PwiZB6qui2kyNRqa72cfTMr2m/8dooAyWZhddzVQNg2pyte+pFiKe+oglOvZpW6r5h77b8fSd1rFPTbC0XjbTsU/HNA1CovsVxdP20XbSdzC8Gqz1dexTs85Exz71W9GxT+tl0rEvGdUw6Dyp0SXD+4zF0jlb33m1LNB20X4jOm+q5laDAiVqcq4Bg1Qzq/1Stba5QMc59aPTOVj7lo5vsVSro+2s77X62+YiNTvWd07nAx2H4qlVivY37Xf6fqlmUDRIhvY9HfsTNevXeUTnF+1v6dA0d5MLQg/SxJAhQ9yVNtXUDBs2bE1qj+78kQcffNBdCYoWFCPRHdotl+iB1F3h1dWQzp07u+erVq1yV911lUBXeKNfCHcVVFdDQ9FCgrsir7Tfr18/d3VJr//yyy/uqkK5cuVc7U4m0d+h7RDWNEQLie5vmjFjRqRXr17u6ls0KEYmTJgQvMPr3r2720ZNmzaNRIOK2366+qErk7qyqf+P+BqcaGE8Ei3Au1ofraf/q5UrV0aiJ/vI6aef7j5PV6kyhWoTtd20jVTLFT0ZRaKFSLdPxk6qqYqe9IN3RSLRAqWrZYgGxkifPn3cvirafrp6Fw2W7irU888/75aHooVQd3Vd2/aVV15x/1eqWYqG80j0wO3+Hx955JFg7fSnmkXtD9oOV1xxRSQa8hJuv2gIWqfGZ+nSpZFzzz3X7S+qFfrjjz/c8lmzZkXuvPNOt+30HdYV9Vg6PkQLlJFosIpECwjuc1Tzoyt40cKpO47o52WyvGp2JFrgdjXh2le0zadPn77m2Kdam2iB0x3HVPsde+z74YcfXK1itWrVXI24rsbrfapdb9OmjXvPtddeG6yduTZUsyOqWdS+p5rUyZMnrzn2aT+tXr26qzmLr8EJaxZ17IsWvFztbXjsO+2009zn6XibDbTf3Hbbbe5vUg2Pjlvav7SdtL9df/31bh/VOVjPY1111VVuX9I+pX1Ln6XzrGoite/peKvzcC7R8e3oo492xzWdL1Qzre2ibXfxxRe77azzT1iLnWu0X910001uv9GxTWU9tRjQcpXtrrvuOne8U0uTaKgJ3uX308svv9y975xzznHncy2LBsjIo48+6sp5Bx98sNsPcxFhJ82osKcCjg6EKqyccsop7kQfTfCRaGp3BfVETQP0hVABRwcKHUAVVpo1axbZeeed3UFFISgMTrFUYNJJSwdrVcHrfSqcqhlO8+bN1zTbyhQ6CXXr1s0VAlXoVOjQF1/VwvqbVMB59dVXg7XXmj17tvvbtY1V+G7btq3b9tp2CjvJmmOoGYgKBPq/aty4sTupqcCrz+nQoUNGNU9QMyoVjBR2NOlv0DaLn3SNRH9rLG2f8O/Wvqp9Vs0ztF20L+ukpoN1PFW96yCsZg36vzrrrLNc0yvtjzpwq8lRplDheKuttnL7nv7uRNtOk7afwk0sFXgU8PS6wou2n05m2p5qTpioqakKl2rqof8rXQQ588wzIy1atHABUj9fhVg1G8lkQ4cOddtLf1syCt76fsce+3TRQttE31/tRyqMx3v55ZfdsU9NCNWsLfbYp+0YhvZMpkKOtt+FF14YLFmfCps6bsUe+/Td1bZTmIm/SBF64okn3IU37WtNmjRZ59inJryZdOzbEJ0f1BxS20THM51btb/Ur1/f7S8KQWruFk/nT4VIraN9S+/ReVb7nJoBKsznIl2c0fZQoV0XJHSO1nFP32E1zUrWjD9X6EKXmpaqWZqOY9qH9L3U8U3bSMFaFxnjKfzoPKr9Tc3EtV3VNULnU5UdX3vttWDN3FNM/0QPhkgzujuummbozs2qrtTIJLp/ie7RocdENDSzms6o2ZqqidUxVM03NFx1NLis6TgZTzeMfPrpp93ACKoijR6A7Oijj3ZDCUe/JMFamUO7tIZMVpM/NR+IFrJdVW/0xGTRL79FCzjBmutS5z013VI1ujoHqspdHYO1zfNqyqdmMrrZl4ZnVgdBVUOrSlnDler/LVM89dRT9sEHH2xw9CQ1FdQ+qKFwY2mEQFWvqxlLNHS6z9HAB9GCo2u6kIyac2hkKTWLWb16tWv6pxun6f4C+j/IFLppqoZA19+d12FVTdLU/EDfr1jqyKz7JqgJn/ZFNRFUU7VoaHaPiejnqGmm9vWw6YKaZJ522mkWDY5p3zl8Q9QM7YEHHnCDGOheRcnou6djn/ZBHft0rNOxT/dH0X3Jkh37tK31PjXhCo99atql/xvNZzodyx577DGLFrDdSJ7JaH9TE1atr6ZE+t7pu6tjn7ZHMjr26Tuv5qg69kXDgDv26Wdl0rEvFToP65ys5lf6ruq8Eg12rolfu3bt3P6WiJoOaduqeZEGddDxQc1L9Z5MaqJb2NRcf9CgQe5RA4yE21LfPR3Dcp2OR0OGDHFNRXVs1/6m8piaRmvfiYbuYM11qeyi/U3NJ7W/qUng3nvv7d6jpvi5irCT5rSz6iCrUUnKBcPNbojaDqv9ugo64ehNqdDP0glLwUBfkGygE7cOEmqnn+rJV9t7/vz5bqST/BR4dFILT4CZVEgvbCrMKxBpG2hbpEr/Vwo72mczvZC+MRQUtQ31HayQj7bV4eg9Ctu5SoUmFdwVbvJzoSYbj30FoQKWwmJBj316TzqMXlfUwr9X388NXRwKhefl/G7bbKf9TdtG5ZtcHH0tFeG5MT/7m46F2t+0fn7Ow9mKsAMAAAAgKzEaGwAAAICsRNgBAAAAkJUIOwAAAACyEmEHAAAAQFYi7AAAAADISoQdAAAAAFmJsAMAAAAgKxF2AAAAAGQlwg4AAACArETYAQAAAJCVCDsAAAAAshJhBwAAAEBWIuwAADLOm2++aXfddZctWLAgWFI0Zs6cab1797b33nsvWAIAyCSEHQBARvnuu+/s0ksvtSlTptiWW24ZLC0a5cuXtwkTJlinTp1s6tSpwVIAQKYg7AAAMsby5cvtjjvusJIlS1rXrl3dY1FSmLrhhhvsv//+s169etnq1auDVwAAmYCwAwDIGK+88oq99dZbdt5559luu+0WLC1a++23n5111lk2YsQIGzt2bLAUAJAJCDsAgIwwZ84c69evn22//fbWsmXLYOmmcc4551jZsmXt0UcftWXLlgVLAQDpjrADACg0GjBAfVv++OMPW7p0abB0XatWrbIZM2bYtGnTbO7cucHSDXv77bfts88+sxNOOMF23XXXYKkXiUTcYALTp09f09Ts33//tffff9/VBH3xxRe2cuVKtzyk3zV8XZ+7YsWK4JX11apVy4455hj7+OOP7Z133gmWAgDSHWEHAFBoZs+ebZdffrk1btzYbrzxRhds4t1///120kkn2SWXXOLWT4WCyMsvv+xqVxo0aGDFihULXvEWL15s119/vZ1xxhlu4IIXX3zRTjvtNGvbtq3973//s3bt2ln79u3XDDKgz4p9Xa+p9ub77793r8crXry4NWrUyBYuXGivvfZawr8LAJB+inePCuYBANgoFStWdM28FCYmTZpkO++8s+2zzz7Bq2Zjxoyxm2++2WbNmmWXXXaZCxCp+PHHH+3ee++17bbbzq666iqrUKFC8IqngQsGDhxoP/30k/3999/2+OOPW6VKldznV6tWzYWcb7/91v78809X46NgpJHWTjzxRKtataqrZdLrCkoKYolGeVPt0bhx49y6Ckpbb7118AoAIF1RswMAKFTnnnuuq0lZsmSJq8VROBA1XdNIaqrNUU3K+eef75an4sMPP7T58+fbLrvs4sJJImXKlLEtttjCRo8e7X7+yJEj7Z577rH+/fubrutts8029sEHH1iPHj2sQ4cO9vrrr7vXBwwY4EZaU5D6/PPP3ZTI7rvv7sLbP//8Y19++WWwFACQzgg7AIBCpSZm11xzje2///6udueBBx5wNS+qmVFIOOyww9yw0fFN0fKimh31Adprr73yfJ9qlQ444ADr1q2bCzei4anVvE2jty1atMj9XqrZiX1dNTW1a9d2v2ey++mUK1fOBS01YVMtEAAg/RF2AACFbscdd3SBonLlyvbGG2/YlVdeaa+++qoLC7fccotVqVIlWHPDFHJUK6R+M6rZSUbNzDQdfvjhVrp06WCpV6JECTeKm2qbFLbim6mVKlXKNXtTkFEzt2TCgRF+/vln9wgASG+EHQBAkVB/mQsvvNANHjB8+HA3Gpr62yhs5IdqW1RjoxqdrbbaKlia3E477RTMraUQFNIgB4moCZzErhtPP1+/h/4mAED6I+wAAIqM+s7ssMMObjhoPaq5WH6p6ZkmhRHV0GyIaoCSyasJXBhy8lpHTd70ukaHix/KGgCQfgg7AIAio1HZNDqagorugfPkk08Gr6ROAUcBRmEkvIdOXvKqmdlY4Wfr7wlrggAA6YsjNQCgSGjkMw1OoFHSWrdu7YaL1shouolnfqjpmJqeKejkdePPTUFN6vR7qIaHsAMA6Y8jNQCg0Gl46Z49e7panaZNm1qfPn2sefPmNm/ePOvdu7e7302qNJiAgpJChu7PsznNnDnTPW677bbuEQCQ3gg7AIBCp2GmP/30U6tXr5517tzZ1YJceumlVr9+fZswYYLdfffdKTc303urV6/uHjf3KGi//fab67OjYaoBAOmPsAMAKFS6mefTTz9t5cuXd0NOh6OjqTZE99+pWLGivfjiizZ48GC3PBUKTWrKprCzuUZCU22UbiiqZnm6lw8AIP0RdgAAhWbixIl23XXXueZrLVq0WG/0tZNOOsnOOuss1xzthhtusM8++yx4JW+HHnqoG81N99tJdENP1RItWLDA5syZ44apTuS///5zk+61k8jChQtt/vz5ScPU5MmTbcqUKVarVi1qdgAgQxTvHhXMAwCwUb766is3cprusaNma1tvvXXwylp16tRxy3WD0G222Sal4KBanalTp9rYsWNtr732cuEnngYP2HPPPe3YY4+1atWqBUs9hSGFoBo1arjX9RhPIUg3DW3YsKHVrFkzWLrWCy+8YKNHj7b//e9/dvzxxwdLAQDprFj0BFB0Y3QCAFBIxo8fb2eeeabtt99+NmTIkKQ3By0KqjVq3LixG3hBw2mrdgcAkP5oxgYAyAgHHnigNWnSxA188MknnwRLN40xY8bYpEmTXLM8gg4AZA7CDgAgI2g0tgsvvNANfKABEFK5wWhhUPO4Z555xg2w0LFjx2ApACATEHYAABlDo7IpcLzxxhuu/8ymoNHldINUDaG9++67B0sBAJmAPjsAgIyiEdPatWvnbjTav39/22qrrYJXCp9+1rnnnmvlypWzxx9/3A07DQDIHIQdAEDG0YABGoZ6t912s1KlSgVLC9+iRYts+vTptvPOO2/SAREAAIWDsAMAAAAgK9FnBwAAAEBWIuwAAAAAyEqEHQAAAABZibADAAAAICsRdgAAAABkJcIOAAAAgKxE2AEAAACQlQg7AAAAALISYQcAAABAViLsAAAAAMhKhB0AAAAAWYmwAwAAACArEXYAAAAAZCXCDgAAAICsRNgBAAAAkJUIOwAAAACyEmEHAAAAQFYi7AAAAADISoQdAAAAAFmJsAMAAAAgKxF2AAAAAGQlwg4AAACArETYAQAAAJCFzP4PZbDRb/xOuFcAAAAASUVORK5CYII=\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58941,"title":"Compute measurement uncertainty","description":"Suppose a variable  depends on  independent variables , , . If the independent variables have uncertainty , , etc. and the uncertainties are independent, then the uncertainty in  can be estimated with \r\n\r\nFor this problem, the relationship between  and  will be power laws of the form\r\n\r\nFor example, the relationship  would have c = 0.5 and a = [1 2]. \r\nWrite a function that takes a vector of values of , the coefficient , exponents , and a vector of uncertainties  and returns the absolute uncertainty , relative uncertainty , and the index of the variable that contributes the most to the uncertainty in . Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement.  ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 307.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 153.8px; transform-origin: 407px 153.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 44px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22px; text-align: left; transform-origin: 384px 22px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.8583px 8px; transform-origin: 61.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSuppose a variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.4583px 8px; transform-origin: 40.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e depends on \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.3667px 8px; transform-origin: 72.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e independent variables \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x1\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"x2\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"56.5\" height=\"20\" alt=\"x3,...,xn\" style=\"width: 56.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145.092px 8px; transform-origin: 145.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If the independent variables have uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"20\" alt=\"Deltax1\" style=\"width: 25.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"20\" alt=\"Deltax2\" style=\"width: 25.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209.267px 8px; transform-origin: 209.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, etc. and the uncertainties are independent, then the uncertainty in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 71.5667px 8px; transform-origin: 71.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e can be estimated with \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 50.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 25.4px; text-align: left; transform-origin: 384px 25.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"166\" height=\"51\" alt=\"Deltay = sqrt(sum((dy/dxj Deltaxj)^2))\" style=\"width: 166px; height: 51px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.258px 8px; transform-origin: 132.258px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor this problem, the relationship between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14.5\" height=\"20\" alt=\"xj\" style=\"width: 14.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93.7417px 8px; transform-origin: 93.7417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be power laws of the form\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 27px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 13.5px; text-align: left; transform-origin: 384px 13.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-8px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"124.5\" height=\"27\" alt=\"y = c x1^a1 x2^a2 x3^a3 ...xn^an\" style=\"width: 124.5px; height: 27px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1917px 8px; transform-origin: 92.1917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, the relationship \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"75\" height=\"35\" alt=\"KE = (1/2)mv^2\" style=\"width: 75px; height: 35px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.2917px 8px; transform-origin: 39.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e would have \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.95px 8px; transform-origin: 26.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ec = 0.5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.65px 8px; transform-origin: 34.65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ea = [1 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147.267px 8px; transform-origin: 147.267px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes a vector of values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.875px 8px; transform-origin: 48.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the coefficient \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ec\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.1167px 8px; transform-origin: 38.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, exponents \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93.7333px 8px; transform-origin: 93.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a vector of uncertainties \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21.5\" height=\"18\" alt=\"Deltax\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and returns the absolute uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"21.5\" height=\"18\" alt=\"Deltay\" style=\"width: 21.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.5667px 8px; transform-origin: 64.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, relative uncertainty \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"37\" height=\"18.5\" alt=\"Deltay/y\" style=\"width: 37px; height: 18.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 190.308px 8px; transform-origin: 190.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the index of the variable that contributes the most to the uncertainty in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 330.225px 8px; transform-origin: 330.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement.  \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [dy,dyrel,i1] = uncertainty1(x,c,a,dx)\r\n%  dy    = uncertainty in y\r\n%  dyrel = relative uncertainty in y (i.e., dy/y)\r\n%  i1    = index of the variable that contributes most to the uncertainty\r\n%  x     = values of the independent variables\r\n%  c     = coefficient of the relationship\r\n%  a     = vector of exponents\r\n%  dx    = vector of uncertainties\r\n\r\n   dy = sqrt(sum((dydx*dx).^2));\r\n   dyrel = dy/y;\r\n   i1 = find(max(dy));\r\nend","test_suite":"%% Volume of a cylinder: V = (pi/4)*D^2*H\r\nD = 75;         %  Diameter (mm)\r\ndD = 3;         %  Diameter uncertainty (mm)\r\nH = 75;         %  Height (mm)\r\ndH = 3;         %  Height uncertainty (mm)\r\n[dV,dVrel,i1] = uncertainty1([D H],pi/4,[2 1],[dD dH]);\r\ndV_correct = 2.9636e+04;\r\ndVrel_correct = 0.0894;\r\ni1_correct = 1;\r\nassert(abs(dV-dV_correct)\u003c1)\r\nassert(abs(dVrel-dVrel_correct)\u003c1e-4)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Hydraulic conductivity from constant-head permeameter test: K = VL/TAd\r\nV  = 7.54e-5;         %  Volume (m3)\r\ndV = 1e-6;            %  Volume uncertainty (m3)\r\nL  = 0.1;             %  Length (m)\r\ndL = 1e-3;            %  Length uncertainty (m)\r\nT  = 1000;            %  Time (sec)\r\ndT = 1;               %  Time uncertainty (sec)\r\nA  = 1.2657e-3;       %  Area (m2)\r\ndA = 6.3e-5;          %  Area uncertainty (m2)\r\nd  = 0.05;            %  Head difference (m)\r\ndd = 1e-3;            %  Head difference uncertainty (m)\r\n[dK,dKrel,i1] = uncertainty1([V L T A d],1,[1 1 -1 -1 -1],[dV dL dT dA dd]);\r\ndK_correct = 6.691e-6;\r\ndKrel_correct = 0.0562;\r\ni1_correct = 4;\r\nassert(abs(dK-dK_correct)\u003c1e-9)\r\nassert(abs(dKrel-dKrel_correct)\u003c1e-4)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne  = 0.1;            %  Effective porosity\r\ndne = 0.02;           %  Effective porosity uncertainty \r\nL   = 20;             %  Length (m)\r\ndL  = 0.3;            %  Length uncertainty (m)\r\nK   = 0.5;            %  Hydraulic conductivity (m/d)\r\ndK  = 0.08;           %  Hydraulic conductivity uncertainty (m/d)\r\ndh  = 1.5;            %  Head difference (m)\r\nddh = 0.2;            %  Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 15.48;\r\ndTrel_correct = 0.290;\r\ni1_correct = 1;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne  = 0.1;            %  Effective porosity\r\ndne = 0.01;           %  Effective porosity uncertainty \r\nL   = 20;             %  Length (m)\r\ndL  = 0.3;            %  Length uncertainty (m)\r\nK   = 0.5;            %  Hydraulic conductivity (m/d)\r\ndK  = 0.08;           %  Hydraulic conductivity uncertainty (m/d)\r\ndh  = 1.5;            %  Head difference (m)\r\nddh = 0.2;            %  Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 12.43;\r\ndTrel_correct = 0.233;\r\ni1_correct = 3;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Travel time: T = ne L^2/(K dh)\r\nne  = 0.1;            %  Effective porosity\r\ndne = 0.01;           %  Effective porosity uncertainty \r\nL   = 20;             %  Length (m)\r\ndL  = 1.7;            %  Length uncertainty (m)\r\nK   = 0.5;            %  Hydraulic conductivity (m/d)\r\ndK  = 0.08;           %  Hydraulic conductivity uncertainty (m/d)\r\ndh  = 1.5;            %  Head difference (m)\r\nddh = 0.2;            %  Head difference uncertainty (m)\r\n[dT,dTrel,i1] = uncertainty1([ne L K dh],1,[1 2 -1 -1],[dne dL dK ddh]);\r\ndT_correct = 15.3;\r\ndTrel_correct = 0.287;\r\ni1_correct = 2;\r\nassert(abs(dT-dT_correct)\u003c1e-2)\r\nassert(abs(dTrel-dTrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Discharge by Manning's equation: Q = (1/n) R^(2/3) S0^(1/2) A = (1/n) A^(5/3) S0^(1/2)/P^(2/3)\r\nn   = 0.015;          %  Manning roughness coefficient\r\ndn  = 0.002;          %  Manning roughness coefficient uncertainty \r\nA   = 0.02;           %  Area (m2)\r\ndA  = 2e-3;           %  Area uncertainty (m2)\r\nP   = 0.04;           %  Wetted perimeter (m)\r\ndP  = 8e-3;           %  Wetted perimeter uncertainty (m)\r\nS0  = 0.01;           %  Slope (-)\r\ndS0 = 7e-4;           %  Slope uncertainty (-)\r\n[dQ,dQrel,i1] = uncertainty1([n A P S0],1,[-1 5/3 -2/3 1/2],[dn dA dP dS0]);\r\ndQ_correct = 2.13e-2;\r\ndQrel_correct = 0.254;\r\ni1_correct = 2;\r\nassert(abs(dQ-dQ_correct)\u003c1e-4)\r\nassert(abs(dQrel-dQrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n\r\n%% Discharge by Manning's equation: Q = (1/n) R^(2/3) S0^(1/2) A = (1/n) A^(5/3) S0^(1/2)/P^(2/3)\r\nn   = 0.015;          %  Manning roughness coefficient\r\ndn  = 0.002;          %  Manning roughness coefficient uncertainty \r\nA   = 0.02;           %  Area (m2)\r\ndA  = 1e-3;           %  Area uncertainty (m2)\r\nP   = 0.04;           %  Wetted perimeter (m)\r\ndP  = 4e-3;           %  Wetted perimeter uncertainty (m)\r\nS0  = 0.01;           %  Slope (-)\r\ndS0 = 7e-4;           %  Slope uncertainty (-)\r\n[dQ,dQrel,i1] = uncertainty1([n A P S0],1,[-1 5/3 -2/3 1/2],[dn dA dP dS0]);\r\ndQ_correct = 1.46e-2;\r\ndQrel_correct = 0.174;\r\ni1_correct = 1;\r\nassert(abs(dQ-dQ_correct)\u003c1e-4)\r\nassert(abs(dQrel-dQrel_correct)\u003c1e-3)\r\nassert(isequal(i1,i1_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-30T14:25:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-02T03:35:52.000Z","updated_at":"2026-02-10T14:38:18.000Z","published_at":"2023-09-02T03:35:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSuppose a variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e depends on \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e independent variables \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x3,...,xn\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_3,\\\\ldots, x_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If the independent variables have uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x_2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, etc. and the uncertainties are independent, then the uncertainty in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e can be estimated with \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay = sqrt(sum((dy/dxj Deltaxj)^2))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y = \\\\left[\\\\sum_{j = 1}^n \\\\left(\\\\frac{\\\\partial y}{\\\\partial x_j}\\\\Delta x_j\\\\right)^2\\\\right]^{1/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor this problem, the relationship between \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e will be power laws of the form\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y = c x1^a1 x2^a2 x3^a3 ...xn^an\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey = c x_1^{a_1} x_2^{a_2} x_3^{a_3}\\\\cdots x_n^{a_n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, the relationship \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"KE = (1/2)mv^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eKE = \\\\frac{1}{2} m v^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e would have \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ec = 0.5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ea = [1 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes a vector of values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the coefficient \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"c\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ec\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, exponents \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a vector of uncertainties \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltax\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and returns the absolute uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, relative uncertainty \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Deltay/y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta y/y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the index of the variable that contributes the most to the uncertainty in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Identifying the largest contributor to the uncertainty tells the experimentalist which measurement to target first to improve the measurement.  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":57452,"title":"Design a well field in an infinite aquifer","description":"A well field provides water for a community. The design of a well field involves a goal to meet a specified service demand  (i.e., volume of water per time) with the constraint of lowering the water table by no more than , the maximum drawdown. Inputs to the design are properties of the aquifer (the hydraulic conductivity , the specific yield , and the initial saturated thickness ) and the radius  of the well. \r\nThe Gupta/Chin method for designing a well field has the following steps:\r\nCompute , an initial estimate of the pumping rate, such that the drawdown at one well (i.e., at a distance ) is . Compute the transmissivity to be . Evaluate the drawdown at a time  1 year. Realize that for small values of  the unconfined well function* can be approximated and compute the pumping rate from  where  and . \r\nCompute the number of wells by dividing the demand by the initial estimate of the pumping rate and rounding up to the nearest integer: \r\nSet the pumping rate to . \r\nArrange the wells so that they are equidistant from the central well.\r\nDetermine the distance  between the central well and others so that the total drawdown at the central well is . In other words, add the drawdown from the central well to the drawdown from the other wells. If , then \r\n            \r\n Write a function to design a well field using this method.\r\n\r\n\r\n*http://www.aqtesolv.com/neuman.htm","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 895.383px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 447.692px; transform-origin: 407px 447.692px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 87px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 43.5px; text-align: left; transform-origin: 384px 43.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.242px 8px; transform-origin: 375.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA well field provides water for a community. The design of a well field involves a goal to meet a specified service demand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q_d\" style=\"width: 19.5px; height: 20px;\" width=\"19.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 292.875px 8px; transform-origin: 292.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (i.e., volume of water per time) with the constraint of lowering the water table by no more than \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s_max\" style=\"width: 25.5px; height: 20px;\" width=\"25.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 47.8333px 8px; transform-origin: 47.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the maximum drawdown. Inputs to the design are properties of the aquifer (the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.175px 8px; transform-origin: 57.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the specific yield \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"S_y\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.1667px 8px; transform-origin: 29.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the initial saturated thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.5667px 8px; transform-origin: 50.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) and the radius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"r_w\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 37.3333px 8px; transform-origin: 37.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the well. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 226.008px 8px; transform-origin: 226.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Gupta/Chin method for designing a well field has the following steps:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 231.783px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 115.892px; transform-origin: 391px 115.892px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 104.05px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 52.025px; text-align: left; transform-origin: 363px 52.025px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 30.3417px 8px; transform-origin: 30.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q_w\" style=\"width: 20.5px; height: 20px;\" width=\"20.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 292.492px 8px; transform-origin: 292.492px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, an initial estimate of the pumping rate, such that the drawdown at one well (i.e., at a distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"r = r_w\" style=\"width: 40.5px; height: 20px;\" width=\"40.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.56667px 8px; transform-origin: 9.56667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s_max/2\" style=\"width: 40.5px; height: 20px;\" width=\"40.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 107.342px 8px; transform-origin: 107.342px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Compute the transmissivity to be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"T = K(b-s_{max}/2)\" style=\"width: 116.5px; height: 20px;\" width=\"116.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 107.35px 8px; transform-origin: 107.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Evaluate the drawdown at a time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"t = \" style=\"width: 22px; height: 18px;\" width=\"22\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.175px 8px; transform-origin: 50.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 1 year. Realize that for small values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"u = S_y r^2/4Tt\" style=\"width: 81.5px; height: 21px;\" width=\"81.5\" height=\"21\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 243.133px 8px; transform-origin: 243.133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e the unconfined well function* can be approximated and compute the pumping rate from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s_max/2 = (Q_w/4 pi T) W(u_w)\" style=\"width: 111.5px; height: 38px;\" width=\"111.5\" height=\"38\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 22.95px 8px; transform-origin: 22.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"W(u) = integral(exp(-x)/x,{x,0,infinity})\" style=\"width: 112px; height: 35.5px;\" width=\"112\" height=\"35.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-8px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"u_w = S_y r_w^2/4Tt\" style=\"width: 89.5px; height: 22px;\" width=\"89.5\" height=\"22\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 42.15px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 21.075px; text-align: left; transform-origin: 363px 21.075px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 356.708px 8px; transform-origin: 356.708px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute the number of wells by dividing the demand by the initial estimate of the pumping rate and rounding up to the nearest integer: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"ceil(Q_d/Q_w)\" style=\"width: 88.5px; height: 20px;\" width=\"88.5\" height=\"20\"\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 21.7167px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.8583px; text-align: left; transform-origin: 363px 10.8583px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 74.675px 8px; transform-origin: 74.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSet the pumping rate to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q_0 = Q_d/N\" style=\"width: 73.5px; height: 20px;\" width=\"73.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 206.542px 8px; transform-origin: 206.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eArrange the wells so that they are equidistant from the central well.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 43.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 21.7167px; text-align: left; transform-origin: 363px 21.7167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 73.9083px 8px; transform-origin: 73.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDetermine the distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 261px 8px; transform-origin: 261px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e between the central well and others so that the total drawdown at the central well is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s_max\" style=\"width: 25.5px; height: 20px;\" width=\"25.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. In other words, add the drawdown from the central well to the drawdown from the other wells. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"u_R = S_y R^2/4Tt\" style=\"width: 91px; height: 21px;\" width=\"91\" height=\"21\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 19.4417px 8px; transform-origin: 19.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, then \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\u003e\u003cdiv style=\"block-size: 37.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.95px; text-align: left; transform-origin: 384px 18.95px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.3px 8px; transform-origin: 23.3px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 227px; height: 38px;\" width=\"227\" height=\"38\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 174.133px 8px; transform-origin: 174.133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Write a function to design a well field using this method.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 379.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 189.85px; text-align: left; transform-origin: 384px 189.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 389px;height: 374px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"389\" height=\"374\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 118.5px 8px; transform-origin: 118.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e*http://www.aqtesolv.com/neuman.htm\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [N,Q0,R] = wellfield1(Qd,smax,rw,K,Sy,b)\r\n  % Q0 = pumping rate (m3/d)\r\n  % N = number of wells\r\n  % R = distance between central well and other wells (m)\r\n  N = randi(10);\r\n  Q0 = round(Qd/N,'up');\r\n  R = b;\r\nend","test_suite":"%%\r\nQd   = 7000;          %  Demand (m3/d)\r\nsmax = 3;             %  Maximum drawdown (m)\r\nK    = 50;            %  Hydraulic conductivity (m/d)\r\nSy   = 0.2;           %  Specific yield \r\nb    = 30;            %  Initial saturated thickness (m)\r\nrw   = 0.3;           %  Radius of the well (m)\r\n[N,Q0,R] = wellfield1(Qd,smax,rw,K,Sy,b);\r\nQ0_correct = 1400;\r\nN_correct = 5;\r\nR_correct = 189.4;\r\nassert(abs(Q0-Q0_correct)\u003c1e-1)\r\nassert(isequal(N,N_correct))\r\nassert(abs(R-R_correct)\u003c1e-1)\r\n\r\n%%\r\nQd   = 6000;          %  Demand (m3/d)\r\nsmax = 2.5;           %  Maximum drawdown (m)\r\nK    = 60;            %  Hydraulic conductivity (m/d)\r\nSy   = 0.22;          %  Specific yield \r\nb    = 20;            %  Initial saturated thickness (m)\r\nrw   = 0.25;          %  Radius of the well (m)\r\n[N,Q0,R] = wellfield1(Qd,smax,rw,K,Sy,b);\r\nQ0_correct = 857.1;\r\nN_correct = 7;\r\nR_correct = 297.6;\r\nassert(abs(Q0-Q0_correct)\u003c1e-1)\r\nassert(isequal(N,N_correct))\r\nassert(abs(R-R_correct)\u003c1e-1)\r\n\r\n%%\r\nQd   = 10000;         %  Demand (m3/d)\r\nsmax = 4;             %  Maximum drawdown (m)\r\nK    = 80;            %  Hydraulic conductivity (m/d)\r\nSy   = 0.18;          %  Specific yield \r\nb    = 25;            %  Initial saturated thickness (m)\r\nrw   = 0.4;           %  Radius of the well (m)\r\n[N,Q0,R] = wellfield1(Qd,smax,rw,K,Sy,b);\r\nQ0_correct = 2500;\r\nN_correct = 4;\r\nR_correct = 117.6;\r\nassert(abs(Q0-Q0_correct)\u003c1e-1)\r\nassert(isequal(N,N_correct))\r\nassert(abs(R-R_correct)\u003c1e-1)\r\n\r\n%%\r\nQd   = 12000;         %  Demand (m3/d)\r\nsmax = 3;             %  Maximum drawdown (m)\r\nK    = 140;           %  Hydraulic conductivity (m/d)\r\nSy   = 0.2;           %  Specific yield \r\nb    = 25;            %  Initial saturated thickness (m)\r\nrw   = 0.4;           %  Radius of the well (m)\r\n[N,Q0,R] = wellfield1(Qd,smax,rw,K,Sy,b);\r\nQ0_correct = 3000;\r\nN_correct = 4;\r\nR_correct = 78.2;\r\nassert(abs(Q0-Q0_correct)\u003c1e-1)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2022-12-23T22:33:37.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-12-23T00:54:17.000Z","updated_at":"2026-02-12T15:43:55.000Z","published_at":"2022-12-23T00:58:29.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA well field provides water for a community. The design of a well field involves a goal to meet a specified service demand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q_d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_d\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (i.e., volume of water per time) with the constraint of lowering the water table by no more than \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s_max\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{max}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the maximum drawdown. Inputs to the design are properties of the aquifer (the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the specific yield \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S_y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the initial saturated thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"b\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) and the radius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r_w\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the well. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Gupta/Chin method for designing a well field has the following steps:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q_w\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, an initial estimate of the pumping rate, such that the drawdown at one well (i.e., at a distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r = r_w\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er = r_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s_max/2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{max}/2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Compute the transmissivity to be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T = K(b-s_{max}/2)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT = K(b-s_{max}/2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Evaluate the drawdown at a time \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"t = \\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003et =\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e 1 year. Realize that for small values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"u = S_y r^2/4Tt\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eu = S_y r^2/4Tt\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e the unconfined well function* can be approximated and compute the pumping rate from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s_max/2 = (Q_w/4 pi T) W(u_w)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{s_{max}}{2} = \\\\frac{Q_w}{4\\\\pi T} W(u_w)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"W(u) = integral(exp(-x)/x,{x,0,infinity})\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eW(u) = \\\\int_u^\\\\infty \\\\frac{e^{-x}}{x} dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"u_w = S_y r_w^2/4Tt\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eu_w = S_y r_w^2/4 T t\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute the number of wells by dividing the demand by the initial estimate of the pumping rate and rounding up to the nearest integer: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ceil(Q_d/Q_w)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eN = \\\\lceil Q_d/Q_w\\\\rceil\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSet the pumping rate to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q_0 = Q_d/N\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0 = Q_d/N\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eArrange the wells so that they are equidistant from the central well.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDetermine the distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e between the central well and others so that the total drawdown at the central well is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s_max\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{max}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. In other words, add the drawdown from the central well to the drawdown from the other wells. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"u_R = S_y R^2/4Tt\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eu_R = S_y R^2/4Tt\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, then \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{max} = \\\\frac{Q_0}{4\\\\pi T}\\\\left[W(u_w) + (N-1) W(u_R)\\\\right]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e Write a function to design a well field using this method.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"374\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"389\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e*http://www.aqtesolv.com/neuman.htm\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58966,"title":"Compute the head for steady 1D flow in a homogeneous aquifer","description":"Problem statement\r\nWrite a function that computes the head  (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations . The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length  of the aquifer, hydraulic conductivity , aquifer thickness  (set to [] for unconfined aquifers), width , and a vector BC, which contains two of three of the head  at , the head  at , and the flow . The function should also return the flow.\r\nBackground\r\nThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\r\n\r\nwhere  is the flow area. For a confined aquifer, the flow area is , whereas for an unconfined aquifer .\r\nThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\r\n ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 738.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 369.25px; transform-origin: 407px 369.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 125.5px 8px; transform-origin: 125.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 247.392px 8px; transform-origin: 247.392px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175.433px 8px; transform-origin: 175.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.742px 8px; transform-origin: 114.742px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the aquifer, hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27.225px 8px; transform-origin: 27.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, aquifer thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (set to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 97.6333px 8px; transform-origin: 97.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for unconfined aquifers), width \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ew\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.3333px 8px; transform-origin: 44.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and a vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eBC\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 127.183px 8px; transform-origin: 127.183px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which contains two of three of the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAACRUlEQVRYR+1WuUoEQRTczY00MlLQQNHAxANEERGNTD1+wCMwVNDAUEExMPKIBY/MUFNBPDAQFAw0EEQjTTTXKugHr3tnpmd2e3cRtqFolunt6n5V773O56o48lXkztXIqxL9fxP2FhOel1BhSrr5KEhGgEGgA6gDNoGlSpCTox44BHgQjjHgvFLk5DkGJoAPoBP4qiT5O8gazY1582DD5/ZuMN0YtnnMu8GYsZGPfBlr1gxhK+ZgTueePvIzY7YnzP0h9U5D/o1FTLF9YNZEgM7fBtqAH2AYuC1GDl+e8+YcUwBdvweMAwcAPcCDXQN9ock3sOGiuV0T5h1DsIKZ2ksWlIX8CgS95manmIeAaYB5rrNAS5IpAHFhZ2X7NDudYB4wELfrLBBJMhFzcRz5JL4dqd3csipZQMNREl31eHCRiFvw+wJQYMo4chprxpBHhVWywNWbxK/ApZJIotTjHiCOXMzEm3UBurhovWm+dRUh6QNupHjYN6BdaxNFzr79rPSmBHrEVT3tkwZHCjGvdago8jmlWVQLFb0l5IwE+/4dwG+shtYN8VvS1pIwitzXQkVvhpzeeACYDayArAtJ5JZHoshlcz4a3Baq9eZGHKsA18rtksitby65r4XSDxcA+zvJhZiHKJnc8Vamn2LEom+eic1ZzG5XsuFKOcCv+bMrp6SaVYp9j4msB0kqMjSy9QANTS7l9RFE0uPFCwUNKDQ5I8WM4LuPDeUeaAa2TDpakSwHeWqpauSpQxVyYS3sIaOZeq8/pdSJKRBBS50AAAAASUVORK5CYII=\" width=\"15.5\" height=\"20\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.0583px 8px; transform-origin: 33.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 43.5583px 8px; transform-origin: 43.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and the flow \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 127.575px 8px; transform-origin: 127.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The function should also return the flow.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381.442px 8px; transform-origin: 381.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"85\" height=\"35\" style=\"width: 85px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 173.467px 8px; transform-origin: 173.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the flow area. For a confined aquifer, the flow area is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"49.5\" height=\"18\" style=\"width: 49.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 111.642px 8px; transform-origin: 111.642px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, whereas for an unconfined aquifer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"50\" height=\"18\" style=\"width: 50px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 365.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 182.85px; text-align: left; transform-origin: 384px 182.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"640\" height=\"360\" style=\"vertical-align: baseline;width: 640px;height: 360px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,Q] = homogAq(x,confined,L,K,b,w,BC)\r\n% h = head at position x\r\n% Q = flow\r\n% x = position at which head is requested\r\n% L = length of aquifer\r\n% K = hydraulic conductivity\r\n% b = thickness of confined aquifer ([] if unconfined)\r\n% w = width of aquifer\r\n% BC = [h0 hL Q]--one of which is NaN\r\n\r\n  h = conservation of mass + Darcy's law;\r\n  Q = -K*dhdx*A\r\nend","test_suite":"%%  Confined, boundary heads specified\r\nK = 0.5;                %  Hydraulic conductivity (m/d)\r\nL = 24;                 %  Length (m)\r\nb = 2.5;                %  Thickness (m)\r\nw = 400;                %  Width (m)\r\nBC = [4 2.5 NaN];       %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 12;                 %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = 3.25;\r\nQ_correct = 31.25;\r\nassert(abs(h-h_correct)\u003c1e-4)\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Confined, head at x = 0 and flow specified\r\nK = 8;                  %  Hydraulic conductivity (m/d)\r\nL = 2300;               %  Length (m)\r\nb = 31;                 %  Thickness (m)\r\nw = 1800;               %  Width (m)\r\nBC = [45 NaN 892.8];    %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = [800 1800];         %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [43.4 41.4];\r\nQ_correct = 892.8;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Confined, head at x = L and flow specified\r\nK = 0.04;               %  Hydraulic conductivity (m/d)\r\nL = 1850;               %  Length (m)\r\nb = 25;                 %  Thickness (m)\r\nw = 1400;               %  Width (m)\r\nBC = [NaN 133 28];      %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 300:300:1800;       %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [164 158 152 146 140 134];\r\nQ_correct = 28;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Unconfined, boundary heads specified\r\nK = 0.5;                %  Hydraulic conductivity (m/d)\r\nL = 24;                 %  Length (m)\r\nw = 400;                %  Width (m)\r\nBC = [4 2.5 NaN];       %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 12;                 %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = 3.3354;\r\nQ_correct = 40.625;\r\nassert(abs(h-h_correct)\u003c1e-4)\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Unconfined, head at x = 0 and flow specified\r\nK = 8;                  %  Hydraulic conductivity (m/d)\r\nL = 2300;               %  Length (m)\r\nw = 1800;               %  Width (m)\r\nBC = [45 NaN 892.8];    %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = [800 1800];         %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [43.8839 42.4476];\r\nQ_correct = 892.8;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Unconfined, head at x = L and flow specified\r\nK = 0.04;               %  Hydraulic conductivity (m/d)\r\nL = 1850;               %  Length (m)\r\nw = 1400;               %  Width (m)\r\nBC = [NaN 133 28];      %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 300:300:1800;       %  Position in aquifer (m)\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [138.7047 137.6190 136.5247 135.4216 134.3093 133.1878];\r\nQ_correct = 28;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(abs(Q-Q_correct)\u003c1e-4)\r\n\r\n%%  Confined, random selection of boundary conditions\r\nK = 2.3;                %  Hydraulic conductivity (m/d)\r\nL = 2000;               %  Length (m)\r\nb = 34;                 %  Thickness (m)\r\nw = 1650;               %  Width (m)\r\nBC = [54 51 193.545];   %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 400:400:1600;       %  Position in aquifer (m)\r\nk = randi(3);\r\nBC(k) = NaN;\r\n[h,Q] = homogAq(x,true,L,K,b,w,BC);\r\nh_correct = [53.4 52.8 52.2 51.6];\r\nQ_correct = 193.545;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(all(abs(Q-Q_correct)\u003c1e-4))\r\n\r\n%%  Unconfined, random selection of boundary conditions\r\nK = 2.3;                %  Hydraulic conductivity (m/d)\r\nL = 2000;               %  Length (m)\r\nw = 1650;               %  Width (m)\r\nBC = [54 51 298.85625]; %  Boundary conditions [h0 hL Q] (m m m3/d)\r\nx = 400:400:1600;       %  Position in aquifer (m)\r\nk = randi(3);\r\nBC(k) = NaN;\r\n[h,Q] = homogAq(x,false,L,K,[],w,BC);\r\nh_correct = [53.4135 52.8205 52.2207 51.6140];\r\nQ_correct = 298.85625;\r\nassert(all(abs(h-h_correct)\u003c1e-4))\r\nassert(all(abs(Q-Q_correct)\u003c1e-4))","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-09T15:47:31.000Z","deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2023-09-09T15:42:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-09T15:33:16.000Z","updated_at":"2026-02-10T14:45:49.000Z","published_at":"2023-09-09T15:42:41.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (i.e., piezometric head for a confined aquifer or water table elevation above the aquifer bottom for an unconfined aquifer) at specified locations \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The input will include a Boolean variable that is true for confined aquifers and false for unconfined aquifers as well as the length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the aquifer, hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, aquifer thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (set to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e for unconfined aquifers), width \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ew\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and a vector \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBC\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, which contains two of three of the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the flow \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The function should also return the flow.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. The latter relates the flow of water to the gradient in piezometric head by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the flow area. For a confined aquifer, the flow area is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA = bw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, whereas for an unconfined aquifer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA = hw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe spatial variation of the head can be computed with these two principles. For steady, one-dimensional flow, conservation of mass says that the flow must by constant (i.e., the same at any cross section). Then Darcy’s law provides a differential equation that can be integrated using two of the three boundary conditions listed above\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"360\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"640\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58997,"title":"Compute the water table elevation in an unconfined aquifer with recharge","description":"Problem statement\r\nWrite a function to compute the water table elevation  above the bottom of the aquifer and the position of a groundwater divide  given the water table elevations  at ,  at , hydraulic conductivity , and recharge rate . If there is no groundwater divide, set xd to the empty set []. \r\nBackground\r\nAs in other problems in this series, the movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\r\n\r\nwhere  is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position  is \r\n\r\nwhere  is the (unknown) flow at . Using Darcy’s law to replace  provides a differential equation that can be integrated using the water table elevations at the boundaries to determine  and a constant of integration.\r\nUnlike the flows in Cody Problem 58966, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 838.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 419.25px; transform-origin: 407px 419.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32px; text-align: left; transform-origin: 384px 32px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 164.792px 8px; transform-origin: 164.792px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the water table elevation \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.542px 8px; transform-origin: 206.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e above the bottom of the aquifer and the position of a groundwater divide \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" alt=\"xd\" style=\"width: 15px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 101.917px 8px; transform-origin: 101.917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e given the water table elevations \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"20\" alt=\"h0\" style=\"width: 15.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x  = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" alt=\"hL\" style=\"width: 17px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39\" height=\"18\" alt=\"x = L\" style=\"width: 39px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.35px 8px; transform-origin: 72.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.0667px 8px; transform-origin: 61.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and recharge rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"12\" height=\"20\" alt=\"i0\" style=\"width: 12px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27.6px 8px; transform-origin: 27.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If there is no groundwater divide, set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003exd\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.6583px 8px; transform-origin: 53.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the empty set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 8px; transform-origin: 7.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e[]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35.3917px 8px; transform-origin: 35.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs in other \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52070\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eproblems\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ein\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56205\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ethis\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eseries\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 264.883px 8px; transform-origin: 264.883px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"91.5\" height=\"35\" alt=\"Q = -K(dh/dx)hw\" style=\"width: 91.5px; height: 35px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ew\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 333.967px 8px; transform-origin: 333.967px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 8px; transform-origin: 8.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"91\" height=\"20\" alt=\"Q = Q0 + i0 w x\" style=\"width: 91px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 44px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22px; text-align: left; transform-origin: 384px 22px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.4px 8px; transform-origin: 77.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the (unknown) flow at \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" alt=\"x = 0\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94px 8px; transform-origin: 94px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Using Darcy’s law to replace \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eQ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 135.633px 8px; transform-origin: 135.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e provides a differential equation that can be integrated using the water table elevations at the boundaries to determine \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Q0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1833px 8px; transform-origin: 92.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and a constant of integration.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.35px 8px; transform-origin: 58.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUnlike the flows in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58966\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58966\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 233.383px 8px; transform-origin: 233.383px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 403.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 201.85px; text-align: left; transform-origin: 384px 201.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"586\" height=\"398\" style=\"vertical-align: baseline;width: 586px;height: 398px\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAw0AAAITCAIAAADKKGfoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAP+lSURBVHhe7P1drG/ndd6LkdQH9RWJm0ktnQPHIWUfRGiC6qtG5BwnlozGTtMWjpvjWErbAzQFLPEmQFAgpq5s54aMgSJAbkT7srmQXF84F0EaG0hEAzmoEsP6uMlxglpbchJXTmxuipFEfbM/7t/i4+HxzjnXf21ucu+/PAY2Ho53vM94xnjf+c655vqvtTfvfe655+4ZGxsbGxsbGxtb7L6L/46NjY2NjY2Njf1Rm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxsbFtm/eksbGxsbGxu9oef/zxe++99+GHH3766acvQmMvl8170tjY2NjY2F1tv/zLvwx+7nOf+/SnP21k7GWzeU8aGxsbGxu7q+0nfuInwIceeui9732vkbGXze597rnnLtyxsbGxsbGxsbFi83nS2NjY2NjY2Ni2zXvS2NjY2NjYXW1PP/30k08+Ob+cdEdsfu42NjY2NjZ2V9sjjzzyxBNP4MyX7Jff5vOksbGxsbGxu9rmnwO4gzbvSWNjY2NjY3e1PfDAAxfe2Mtu8540NjY2NjZ2V9t8nnQH7Vzfk/6fv/o7F96dszvew2yCNj1ocyCx6UGbw4B9J/UwnyfdQTvX96R//Gv/4cK7c3bHe5hN0KYHbQ4kNj1ocxiw76Qe5vOkO2jzc7exsbGxsbG72ubzpDto8540NjY2NjZ2V9t8nnQHbd6TxsbGxsbG7mqbz5PuoM170tjY2NjY2F1te58nPfLII/cWm4+dXgqb96SxsbGxsbG72jY/T3rwwQefeOKJ516w9773vdeuXZv/t8ltt3lPGhsbGxsbu6tt/aCIN6QbN2586lOfuhjfc8+v/Mqv8J70d//u370Yj90mm/eksbGxsbGxu9rWz5N+6Zd+6V3vetc73vGOi/FNztvf/vbPfOYz89O322vznjQ2NjY2NnZXW3v1Ycj70Bvf+MaL8Qv2nve858aNG5/73OcuxmO3w+Y9aWxsbGxs7K62H/uxH3vvTXPIyxD2lre8xWFsPkl6KWzek8bGxsbGxu5qe//73//xm+bw2k176KGHHMb88dy8Ld1em/eksbGxsbGxczI/T1p/vuYb0vxjS7fX5j1pbGxsbGzsnMzPk77whS9cjF8w35DWz5nGXozNe9LY2NjY2Nj52TPPPHPhvWCf+MQn3vWud83nSbfX5j1pbGxsbGzsnIw3oQ9+8IOf/OQn678qef369c985jM/8iM/cjEeu00270ljY2NjY2NnZj/1Uz917dq1H//xH78Y33PPu9/97ocffvixxx67GI/dJpv3pLGxsbGxsTMzXomeeuopnIv/tdu997797W//zd/8TWfHbqPNe9LY2NjY2NhZ2vXr1y/+727PPZd/NWDs9tq8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu8J42NjY2NjY2Nbdu9zz333IV719tv/NaNX/r4f/rSs9/E/+3/9OW3f9+b9P9vf+3PfP/brt2kvOR2x3uYTdCmB20OJDY9aHMYsOlh7LbbOb0nYX/l//4/XXgv2IN/4tW/9LPffzF4WeyO9zCboE0P2hxIbHrQ5jBg08PY7bUz+7nbIz/28IX3gv3vfuDNF97LZXe8h9kEbXrQ5kBi04M2hwGbHsZur53Ze9L/8S//t7yVXwxuvqH/jz/6PReDl8vueA+zCdr0oM2BxKYHbQ4DNj2M3V47v9/jrm/ld+oN/Y73MJugTQ/aHe9hNkGbHrDZBO1u6GHsttj5vSfxVu57+h18Q7/jPcwmaNODdsd7mE3QpgdsNkG7G3oYuy12lv8ugO/md/YN/Y73MJugTQ/aHe9hNkGbHrDZBO1u6GHsNthz52kf/H986sK7c3bHe5hN0KYHbQ4kNj1ocxiw6WHsttiZ/bsAz9tvP3HhjI2NjY2NnYt974cunLGzsrP8udvY2NjY2NjY2Mtg8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2NrZt8540NjY2NjY2tmFPP/30448//sQTT+BchE6zj33sYx/+8IdJvBifs9373HPPXbjnYr/9nbDvY2NjY2N/vOx7P3Th3Dn79Kc//YlPfOI973nPO97xjovQoT355JPve9/7cD7ykY986ENX6J8scq9du/bUU09dhM7W5vOksbGxsbGxu8iefvrpe2/aBz7wgYvQYk888YScD3/4wxehxXhTkfOxj33MyA//8A8/8sgj73znOx2+dPbMM8+Ab3rTmxyetc170tjY2NjY2F1kDzzwwPd8z/fg5P1mtV/6pV/SOYXztre9TScvLlf9OdpqvKg9/vjj169fvxj/UXvjG9944Z2/zXvS2NjY2NjY3WV/7a/9NZ1Pf/rTOs0+85nP6Hzuc5/7whe+oN/sn//zfw4+9NBD+SnbYzftox/9KK9iRk60xuf16JFHHvnwhz/8i7/4ixeh71yb96SxsbGxsbG7y37yJ39SJ58JVePl6caNGxeDe+75J//kn1x4f9R4hQLf8573OMTe//73P/roo+DF+GS7tc+fvvjFL15452zznjQ2NjY2NnZ32Q/+4A/qfOITn9Cp5gdF165dc5jPlqrl75p98IMf1HkpbO83kOb3k8bGxsbGxsZeKnvlK1/53ve+F+fJJ5/85je/aTDmi9EP/dAP+cnQ5l+/z8tT/attMN/3vvdt/ur3008/TfwDH/jAu9/9bnBTE/v0pz8N7ed//ucd/vIv/zJDjVYNYv5+Uj5PQi3Kjz/+uMFju379OmS63fzJ4yOPPMLU5u9m+Xf0yL0Yv2ibfxdgbGxsbGzspbcr/rsAvE/w8oHz8Y9/3Hem2L333gs+9thjDzzwAG8M+J/61KfaX/V/8MEHb9y4QSLpF6EX/rr+Qw891H7/2neLi8ELRu4HP/hBXzg++tGP+k5Gub1XKAjQ9FOIxt75znf6E8DYu971rn/xL/7F8e9I0eFb3/pWnA996EMf+chHDGq8OflX9tD5zd/8TYOxhx9+mHKbU7dm83nS2NjY2NjYXWd7v6KUz1f+r3/rr/3oj/6ofuPwkuEvMIVQrf3aEIJ5SfIXmHg1uXbtGi86+VQmv5/EmxMEzCHvUj/zMz/DGxuRn/7pnzYYoxA6vLVAgwCNNyfin/zkJ30FPDBed3jXwfnH//gfG4n5Y0cMnfbCR5++k/3Ij/yIkRdv8540NjY2NjZ21xkvCv4G0r/5N//GiOZbwlve8pY3f8//Kpz2a0y/+qu/qpOXrWrt14b+wT/4BzofvWm8zXzkIx956qmn6odY+eznHe94B4Sf+qmfcsh72M/+7M/6DrT+25W+qzH18Y9/HITGa40NP/HEE+vPE5v5rvPlL3+5/egtq8Oqj+Uncenwxdu8J42NjY2Njd2N5ltO+9TEXzz663/9rzuU8+STT9a/kiaHNxJepIxU+/a3v33h3fwAxncL3ora34OrP++r4tUu/RttvBthF4Ob9vf+3t/T+Vf/6l/p7FneddqnZb/xG78B+r7Vpn79138d3Fv4rdm8J42NjY2Njd2N9kM/9EM69VMTX2ve/va3O8wnRvlpFOavEK0fJvnX0O677w+/9Oejms2/FvcP/+E/1Lnqv7dkoYceeuixxx4zEvNHb9jeP/sUy6dlv/Zrv2YE443wy1/+MnHftxga19yc2/tX/OY9aWxsbGxs7G60fMDzr//1v9bJa8Ff+d//TZ38tMuPUrC8+vyf/8Zf0on519Dq50m/9Vu/pZN/s7taPkba+zxp72/+H/x73Cm0p1nNN55PfvKTIfvKyBvkX/2rf9VI9iTO5m9l3bLNe9LY2NjY2Nhdav7kK28AviW85S1v+d7vftDIAw88ICefJ8X57/83f0unWf086fOf/7zOrf1bR7fwL0nmjeeUz6jyxpNfPNIhzgti+9Gbm0Ow/mbVi7d5TxobGxsbG7tLzZ+dfe5zn/NTIn9fO7+cpPkvbsPx15j85aSDd4X6cnPi69FVf+52ip3yeVJWkU/L/OtsLtnN+Wf/7J89P/HCj+du74dJ2LwnjY2NjY2N3aWWr/p+SuQHS/nlJK39vrOfuKy/nBSr70Z5ATr+ZOiqP3fz95Nui33oQ8//u1MuSnzohf9jnb+/9Tu/8zu8INLhJz/5SYY/9mM/Bt5Gm/eksbGxsbGxu9Tyu8yf+cxn8tO39nlSOL/6q7+aX0468WOV/LZQ/TXw2N6vWlsO23u7Ovj9pKtafpmd5fupUv6Pdfn9LV4Q84O59rf2XrzNe9LY2NjY2Njda34yxHtAfv/mLW95y82ZPzTfiniT8COlhx56aPMvxq8f8+TXwH/5l39ZJ3b9+vX8a5Dt524Zbv7v5060E3+Wl/celu/q6idG/mCOKV+hbu9vJmnznjQ2NjY2Nnb3Wn6C9gu/8At1WC2vDnLyd8Gatf/tGsbLii8in/zkJ/1foGi8cr373e/2l4Gw9edu+ZTrlF8z2rTTE337YWn+w5V/4S/8hZvh583doFtfIg9+2njLNu9JY2NjY2Njd6/lIx/fEtovJ2l5MZJz/LrQfqko/7+RJ5544t57733f+9738MMPg0jlXz9aP/vxb+zD4YXJlPq/IrmNv5+EuRyX1j4qy48Xnb3tP3TD5j1pbGxsbGzs7jXeUeqPkzZfBeD4f0PTrvTjJ97DPvvZz+aff3zyySf9GOmjH/1o/int9bMf3q5SMSmx2/j7SVhdcvuojHemdE4/J/4s70p273PPPXfhnov99vb/qXhsbGxsbOzute99/u9t3ZrxmuIvaPMekI+Xml2/fv3zn//8a17zmje/+c2bv5yEydkTocQnPvEJavEuEgJBIgw3X0H8gdeb3vQmXlbq28xxIbLAPc1Nsw34FGpZ2Zy3ve1t629uvXib96SxsbGxsbGX3l7Ee9LYHbT5udvY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbNe9LY2NjY2NjY2LbN/wf3jO1D/6/v++3ff+3F4GT73j/17BN/8/97MRgbGxsbe3ls/j+452nzedIZ2//l+//zhXcVu7WssbGxsbGxP4Y270lnbP/9w89875969mJwmsEn62IwNjY2NjY2dmjznnTedtUPh+bDpLGxsbGxsdNt3pPO2670kdJ8mDQ2NjY2NnYlm/eks7fTPyKaD5PGxsbGxsauZPOedPZ24kdK82HS2NjY2NjYVW3ek74T7JQPiubDpLGxsbGxsavavCd9J9ilHynNh0ljY2NjY2O3YPOe9B1ixx8XzYdJY2NjY2Njt2DznvQdYgcfKc2HSWNjY2NjY7dmZ/ae9Pnf+8rvveovXr/vR8Gn7vtz/Pniff/dl+/7b/zzpa+94oL3x9L2PjSaD5PGxsbGxsZuzc7s/+/22//xKZ2nvnTvg294TjQSM3jfN76I/7pX/FfwNd/6L9+659U4999zkf7cs//5Dfd/S/87ydb/49v3zv/NbWxsbOxusPn/u52nndl70ud/7yvf+MYfNvyqV92b4Y0vff3aG55/GcLuvedrOs/dc79xcH2vyhsVr1Nf+dafAF/1reffrl5xz9dfec+X5JzXG9X/dP2NP/v//jMXg5v2s//bz88P3cbGxsbuvM170nna+X2exKvPxeDmu9F3Xbv/P9/4GsiwvkJpvDC98lWvIe4bFfjNb3yV1yP4DJlFzZcq35kqqqDljQr/Lv+Mqn6kNB8mjY2Njd0tNu9J52nn93kSyIvRtTe82recfKSEQ5y3GV6MfHMKJpgPnFbLi1TFmnLVz6jwfaNaP6N63bf/8733vFRvVPUjpfkwaWxsbOxusXlPOk87y8+TfI8x4tuSfuLtdSfBb37jq5LJ4oUm71LtQ6b4z4suBuH4M6oL3s5nVM1ZP6N68W9UfqQ0HyaNjY2N3UU270nnaef6eVJecQ6Qt5D1s6VgXnRUxhgyde0Nr07cyKZOggefUWmqRbO+2LWXqvUzKp31jcrPqLD81E/zvcqPlObDpLGxsbG7yOY96TztjD9POgVJ2Zvyd5vyCZNWp3wlIkgkUxUN7n1GJSHB+pmT8VoXa8oS1Jeg1TcnMK9WmdL5pY//p0f+D/9tfkWd4IP3fNZfqMLqR1bYd+rf/hsbGxu7i2zek87T7or3pKeffvqBBx64GBzaiZ8n8bpw8ElSCKsU8foetkk48TMqHILt06k6ZZYEnCjbA7T1XSqmFMhbFFm+q8kHjVxQb1rtGf36RqWjOcwHV/XvAGLzdjU2NjZ26zbvSedpd/49iZekd77zndevX78YH1r7PMm3hNXP68gBwQ+NoCVS45B5adgkqNyC4mZu/XRKrFmQs6IorylJ5DVI8RYndzV0/LFgXrlSVynfqxQ0cjPvefOdKU6Kru9VOn/q/qdx8naVvw+I1R8O8nb1+vvpZ16wxsbG/pjZvCedp93596THH3/8wx/+8GOPPfboo49ehPatfZ6UD2PWT2XyDrGJ+ZinZSVuOYxXB6cuVa65OKBTVglG8FKdhgruza4itpFZIq20HGlgjWDmxhGjUJkGeeG7GO/8lUDRNzM4Dv3sCvMF6033/EeHWPvVq9d/+/934Y2NjY2do8170nnanX9PevDBB2/cuHHt2rWnnvojXxc3bf39JL9I16/ocY7Rz2xwbgo/b8TzUZDxcEwJx4qrn9wk0p4vDQzzggIiZdYmktWkEM/CI15lGbb2qkhNrKUrh7i2dltLuCKZsdZS9IP2D7NWxDcdI8hrUxwwr1nrbHu7OvjVq3m7Ghsbu1ts3pPO017xsz/7sxfunbDHH3/8n/7Tf4rz1a9+9TWvec0P/uAPGt+z//rsc9/+9j2veMW9f/DM1+9/5Tdf9apX/f4z33r9a1/J8I2vfyVfzkF8I6I0pl736m/e94rnI69+5Sv4Cv0nXv/87ycxfO2rn/+/wvG1HM5rXn0/ConHryVIjBrVUau5vBDcc88r49z8cw9DXguCRODjNEyHSkGGSRusl0Jh0owOpZkC2ROMRX3r2zTz/GJvLuqVIFO2l+XsFVIhzbPM2jMRlE0J2YjKtVuC9RLQoftw0y66wrx8NwWfL0rzccDnvv38VuPfe8/zHJA3LToHn3vF6+95xSufe8Vrvv3q7/ovX3rVK9740H/80p+897X/i9999s3PvfYtX3rFn/mdZx/61mu/B+e3v/rnv/q6Pxd85Wve9F/u+V8+fe/3ff2Vb/7yK/701+9547P3fhd/vn7vA9+69/5v3Psn+PP1rz776ldebMjY2NjYbbMH/9cXzthZ2Z38POnpp59+61vfeuPGDYenfKT0+d/7Sj6Z0PKJRUU4+ZjHr9/N8WOP0BwyW31mn7r5yYfxA1neGKoOLyINI3W6ZjpcF5tyOE3WcjCVwsLBdzZTtdDa8+YUWS1OJNWrcl1XCJVJY3Vpay05TVmr5FpImspiOgGZMo6DrJ9aNXRK8fbBFbj+I+zzedXY2NipNp8nnafdyfekJ5544pFHHrkY3LRLf0up/nvcOHwVrF9Z/drGF0UJ66zolF9Z67B+ZfVLOL7lVpFNhJwv2BWVqg61DvpcOwx/kxZZsDYMoZauFuUkNpRT30KIkOIO1wi1GG52uNlnspxiaK6aVbklEqF6Lk2Nq5ZZrU4ppXMx/YJIxQQ9DAxxbnKft/WNKkPwT93/dH6Nff0HruavB46N/XG3eU86T7tj70ntwyTt0o+U/DzJr6l+qECwfi1vX+raV9+Wm6n1w4yKa4lN3Evfw+TuvSWEmSFOpYFZSJymxpAv4Znia38irouIufjGa+mK0UwtFGIGcUJb+4wOtMzWEulhM1FxsC6qSjV+u2oyXbJbkYXo1OqQq1RtINuIuCVApjDS65uTiXmpyrB+TLX5T4bOx1RjY9+BNu9J52l37D3p+vXrv/iLv/imN73pi1/84uOPP/7oo4/q/+RP/uQ73vGOC9JivCf5NcyvUjj1y9iJ6EcLfoVjyNet+tV0E5MVftREg/RzrCOe2HZS4CertsFXa3y/8DfZNCk/IjXiEH4SU3FFN3xNt43aYUrHsYQpjVPVQHWqOLSa6OrMyhVMsKZHxNkVI+LupbqFWmMtvkoxi7UUxX2vMph3LMjZAV7IWGl7xxLrv7aQvwxYf1d9PqYaGzsbm/ek87Q7//fdsHvvPbUNP0/Kt+YgwfqVaQ/9mppI/agAhXzB28TkwjQ9TsWq2Zpsavmq2bA2GYU4iSd97wMPZ9NkW2yLVCbOqlkRQutnU78K4tS1pPk2tVkr4jVRNB4d4ybWDuvsimvRlN5szJY2NQlivga17T0YkkKhejJBI8G04ZtTfHLb1Pzgb2zsrrZ5TzpPO7/3pPoVhYhfJPiKUp18HQrmYwA47SsuInUI+iXqZsFLXqGC6udrXtVMEP+qgpHaTCSobC10QFPEXUpi/aBIv6qFlnQFo58+K6Fh5RxMrRu1mUiQ2XDa1Yd8MGu6alW8oonUwlnj0amrqNhWVA/bOqxStVVpUas7o0j7XEoC6FAR3pwqpopvVDDXj6le8exn733td+HPD/7Gxm6/zXvSedpZvifp+305jhG//OjUryvBcEyEky8ewRbc1AFrXB/xqtPUUhQnbTSdinBw6gcPMOuXWBBOJVQ0HZpZWW8UaqJSNb62XSOQ5RO0eb5a11mlgtI229M5WEWrG00J+nWqSpHLepnKbJy8Dh6UzmztoemA2YREwGzIqiyummKULV3bWEXkY62cC0eHKduraK00sMqC7R3rvhf+L4HrvwL63LP/GZx/YH1s7CSb96TztLN8T+ILg18JfPRvPuvzxJcQJ9/uo6ZTcQ02wT3c/HAianH8Cg2fflxCFNJhHSpFOhFLbBIqSm7rNZiGGbp1Nb7uTHMkN+WamNXVDithT8QpsTbmbFLYMS+9/RDMippU0jeZld/eHlLaDokz3BRZ9+FgUQ0VBKO2NuZslaqtihKe7++mYJQ3BXHSoY6C0vT3MFIi6XnNQpyLQl0i84O/sbEjm/ek87Tze0/iwV2/Fa5fNnym10i+clSnfepQ1VYkqwpullhlj1HN+pmBCnaYElVQmi8i8omsyuT6+hW16KRQ40fw0q2QVpVbCWkptBJsj6DGlJHM1gYgJLH6OPVtiWGwdrumNzLByk/1cE4sF53Vicjm3jK7ajblKNREEU2vHTSMJlv/FSE0J40hstdeOGR5rsIPNho6vkXVdyl8pzLc/Bt/+f103qjmM6qx70Cb96TztPN7TwJ5NNeHfn24n4KrQoZgnv74zJLCY50Izt735cpWkQNE06+7DJv+Xp/S2qxYuxUbx56lZbjHT0XxUvFaQsLmihw6BRmnSiXd+KqTxMxmGE4ce64pWfvaOahgq57cg3Ih5OU1CnHWqaAdtuZ18k6WeE2s6XUtreG2zIabq2tVbN5CWf6BFEys6eQIZcrDr3hEWOb6apXI97zuP/gZ1fMi8zHV2PnavCedp53l50l+IeFR61MVvz6a9/D46+UeKg6qs+cgbjNx9gRJqZ8QNP2K+Tbdl6o22zi1qJqh1epM1SGElMapje0hNMzNVJ+hU7YqAUsDoMoEm1/TxUYAsSqSNtLDHiGRcFrbbd9EVwEh/Si+vvTUcpFq8T1cm6+OLxNrlYrQmJVTmem/zTZsUqu+mJQsv+m0XILHyw/BPqtsjWR12VjS68sTCKdN5ffTwXmjGrvrbN6TztPO7D3pD575+o1nvsHTkyej38gS9CnJs3XTyQMarN835wtV8ysqXhX2sH5X3QSbz1cCOUT8krApaP+1gXxPn6W1opYwpe2DU1b0i+hKM763FaKz8FurWRRDuopfO7dies7aa4fuT8itSmusEcB1ti0ze2hKmgmmybaEFVuufJz6hb9i3dh1dQcIeb0o7ULk8h0rZx/aZpKFRTx4cD4btpSqU5vP9WWYotFx29dgEp2qUpQjiL5VQIbEeRVjjfWlqr5a+XtUvkjlF9LnFWrsJbd5TzpPO+PPk7Q8l/F9hq5ORfg8KH2y+31tHJSdilNzfRAfROq30RluatJYStvkKh4FCIm0pUUzRVld/TpUdcIhXpU3aWvbxkUTzUqtbCx+aFlXGmuCStXSYtMXV1rtxB48G3GwzOJQPftzrFl3chOh1ayrolUO9MWa0raukV1IDWbzq58NeTGXexVfs07Hqr+uogZzxkwkQi4mIW209Ioo0LbM+vKE4efjKF6h/GWp+U2psdtp8550nnbfxX/PxN7w2lfyOLsY3HziO+RBic/TE8RvEZDno0G++OUJ67NVh0imdJiqCjxe468R9M091rQHZ/X3xMOp8bY0shSPGpHGUadyjNhkaGBoa9uJg2TVlkR0wkQ5tKyLyyS5Csqxn1qi7XzQqUrmj7PsP45VbAZZfdVceNoI1qKgLRFfmQ3lt34a7s0Sp5AtHaBkfJCKbKafuIBM1WbkJOhpZwkUMuKGoNn4Yi5KvToizFSpWE/smnW8LZVT9e0qPQel0byFIs6Ue+UwbbT0IEzbNkU+Po6Rb7/qTfz56v3f99tf+/O//6p3/tuv/eUvvPFvffb+v/Eb3/jJ33vVX7x+348+dd+f48+X7/tv+POlr72CrLGxse94O8ufu+HwlYAvAz7mfDJW5EnKA7HFYerwbCWRx+WJ+HzhP1plU/8U2aSf0jyzLHMtFKzKmy2JtTE0U73SqtSKNeWgJcRbrU3aXj+1omrw626Y2BQqoVahT77+6bcp0KxWUVnIK3P1w68iK4ZGbl0m8bWrFUM2kmMfNUSwJk7kwMEaf8UQLM2wLnzFNIbfLtOltewHfZw1zkXMdWmEdLVeCJjpDQwzp3dNSdCiZCGij5MFQt77CArHn+LNv9I5tm3zedJ52hn/3M0HWX3SbSIPNZ6MbVifoWKepC1eS0TK35lYHcirQtBndMg1siofLKEGqVg7XFFBVyczrYZT92RzHyBvpjQn7yXBSkhX6DgbwURqPILVh8AsTl1RlK+EuQqqRX+9KHFydWo/DdsG5guzbRuvCzwolyr4reeqVuNttjn2tvIzlUjTt/pmh00wiZsLb1VAZpt+jSNr+uZw8zqiUGcrZzMluCqHTFBzUTgRyZbSPK9NFX2F8h/nnN+CGnve5j3pPO38Pk/67O9+OU+x+nBsT72KJGaInyfgpUhKHvdNKvE49TtUWsp3nw1RaGQjKpO4+QU4s7UZRRozKJnEver68vGjVnurWHuDj8XXMTFrJ9IIYGar2pp4U/7CKmftCoLK0a9bdBzf0wwh1Ven9Vyb35OtaNsyldXWcu0EVnGKtj2sJQiSu7YnP1M1ZQ9pg5Tn+7tsQ/YU1v1JBAWCVaSuK31Ka8O90swiUvctfe6l1H5qbuLJaiKSkxUkgpHraxPMlPNfOnjwns9+655Xz0dQf4xs3pPO087s95O+9Ow3fU75eOJpxUOHpxKoz2MUGs+vzIIMDYJEqkL8NWKK4pGNJg++RqhSPOUzbJqm+00qSLwqo2afDTNrOkhccYdi+kRW8lo9rSbXLNV05LdclpzSOK23JLJ2V9cIojtDPGogERwa1rEf4qt4Q+IqBNG3aNuZNe4+EMy1CK6dtwi+PeRCx3Gqbp3YNrOK1PXi1Co4OWkoJEWRekWItBKktPYMtqmGa+fwLYFZbm0V3MwNtv0xwm6Tgl9XwbDeBTUxQ3yLpjSEoBvF5kSZHQ45hVq3VbneaK1zsqoIcclWFOEQxDFXtBzIa9NX7/++3//aA0+/7gd++2t//guv+kv/9mt/+bfv/5u/8Y2f/K1vvPf3XvUX+TO/BTU2dvfY+X2e9PQzX+IBxBOHZ5PPKR5bFY1DjoP55AqNB665OsyqWSM83UiUr0grVJFZy1WMbA3C56mNeCuNwp74HlbZmw1efNMvIU5dUY0ksUX2UGYTDxKRlq1bOaK0RNwN/aTYD8PQ2nat+0bESxyR1sAar6uO4JrYkFmcU3ZsxdZ2FVE8q7Bc66RtgiJhbs62ElWwtRQnWVVqLUokrdY1no4ppEiGzlLIWmnGcg5rG63/pEPgdLVTAeKvzYh1UQdkxVu3ycLH9CtHpIQH3loVyYIDSq4fRK3/lsF8BHV+Np8nnaed2XvS51/4/+DW5xHG0MfK+hXXqfqo4rtYgnlaNUEcMLTqVJFN9GFn0daDaFHimYrjA/1YH2SN0uyqim/ypVGlRUwxvkqtmO2Cnx7WQhnucXwrctVGmiYRZ2vPztKJUzpYNq1VPwVNySWL8uaFaMtpuSaeErEKGE2njNSKK1q0iTiF1HqY3Wr9RFzFJn/PAVPd5aRua2wT1z1JvLZnV43ZgqllS+khw5Zbm6xYNWt7VVZOI1faXrf1eK+cMPd6A0nHZOLYYXYeTV6exPwKVP4Vg/n9p7va5j3pPO38/l0AnvU4PC94iODz7ZpPHx6gPEcYMmuQJ4tDHj0QgmSR3sgKGpGGg0J1jFe/IU8uBZtsOoFglVYR9HnKKhgeIE9hy7mK6NROaodkQQBbxETjiUCwn4i3zlVID7UQKdGnT5/pDnmmG0RBnUpumkSsjsPQoGokZrvwcepu6IjrNVojKKC5KnshGrktGWbNDSaSfSOxcgwqUqcIplYtVCObIk4hlf5Dc6tTwoiFNvl7kXXJDnMmw8+qc35oz6KJBJFKRdCumk4NulKCOG1z4jDLlJxKaFg1a3s4WVRWul5lCIqQnvXik0WQ4dp8xdb8ipZQBN8Gaj+g+r//tQfue92b868Y/MGf/D/9xjd+8vp9Pzo/uRsbu412fj93++zvftlHMw8UIjggTxC/kzOeWY2hhDxrCIbWkKdYaA2jkK8NiazVK9pDDVpF/2aPF0uoajx8M2xV8LMJUSO417P6NZLSxg+c2raRTcye1KEibbtOlFoXVTtJeydi60FnvWSrbPhNE6Ypm5dSgk7VB4njMGVLSazimcWpDaeQWFNQqFN7aKFaeg/rutYUdNr5NJhZFbLDibQliK0ryTWoX/fnxaCaa3s6rIt4jeiYUvfEhdsbmjgas2AK4ZsStXSyYr3KtZy+sm0VjSMqxVug5O953X94vvS3vnj/PU/Nx053zObzpPO0M/s8CeO2B7nzeS74LRfPBYI82hwGIeD4rZ4EHXIrraHfX/rUa+jTBwWUdRLBMZ1y9kZXkZUP0kCtos8UWDt0LWgypG6LSzZR5bThlOSk4KwRdWgSfYbuYXUkh4nhtw2pmD1hCLoP+mCuUXo2fiDl8qGJdT/BOtVom5Gk1M0kmH5AmGti+G3KFIbtA4nQwrThHAwdpo7rbjYsXySYHUs/FdfSpER85Tf0UOFbvaWgnAuUxnKBorBGZLbecNBJn07VuhKMrOiijuPV32vP0sZrRA5Yb1t0XLi+cfjrivCzNB357dibUq9ytiu+HFeBv8kRIeDwqsTCwS/d992/85U/feNVf65+7MSfL9733/FnPnYaGzuw8/s86cYz3+BZwyPAiE8EkAcNDwueICCPBgj6IYRGVpgrH4RgCfg8YnhyqZMSzspMyp5TMYltCnL04xjca8DgKmVKmtdx7S0OnxKaia2BOBBqet3PBGW6kxmmpWx+gmA2uQlmvTVec+2nzq7YGtvkgGkmm3BKYpoxK05b/gEzDtjE91Ap+KbUPomoWTHBmxnP+1Wwkuv5b/dCvUY1BYymjbXEYzQ3DhgdOW0nM8yq684cowo4l+7Y6Uh67kGbV9ypBLOilIsD1pZqbyGsqKzrSsXM1kuQBnBixqUZUWc+dnqZbD5POk87v8+T+KbNBwo+TwRub5EhQR4EoAR9p3xe4PN0q8yVD0LwG0f4PArz7WMS8xGCU5iO31DKMQKnKtfPHhjywJKWJRCJY3CvgZoewaQ0Z43Lt2HSjSMVJ53ABGu6U03THtjJKFiiktW3Z1Cyl4aHNYhPMOs1q3aCYPqpytUX0xjkdTaRbJ0OQQ8DjrVwbKyiU2DWYmTN3WOCViQIrfa22ScYvsO68xEHs6JaMVmRrWTbtrHqg55YlkwKTk3UQQ1cE4+x9kak6hhpO8mQzmkjq85C4u9FkNWpO1Zr3QKS7j3I0OYRd8ql2UaqtPWCEOpyam8SKmbb6+rWDXeXVLCrFE1pIl7TcMji7kMZ/J2v/Okv3ffdz//C0+v+yv983//w+Tf8j37slP9hy3zsNPbH0M7v86QvPftNngU+O/IwFSE4VZEgs37vheOXuswqUvlEeGYl0S+KTPH0MR5ydHRWqcrZDOqAdRUNbSAcnFvTqZhFXZolc91qMFtamWpmdlO81q3XxcS6XmbdcxMJ2kmV3VMI4RjTNpp7DpfeEq3W5hU3bttxEq989etaxHVFtdWVDxJsshlupqyrbrjZ6mZiuy/WPTklAq73l0yCtXr8dZcOIm27wmk9gLW3A7+2Skubgi1YFUCyspZLG5MJNjIoR3EJKoSMk9mV3NQOOGwmL1j69WMnnPkXCk61+TzpPO38Pk/iBvZbK78r4r7lxgaJcwN7h0uo31fxXJOWuExFMCMgTwfTw3cq3z4GpeUbNRLrbOWkYg0mEZ9H2x6GU9e4pwPHtiuS1SJRaFl7TJfG0JbEbKlIMJoMTVlbytVxGBG2qOqYyKxkfGaJr7L1ytp/HOPHCBlB2m6bCeaqeUjqks3avOLGQ4gsqE4rhN9aWvekFpVfF2iwyYLZ6nU3lIKTLDDrhWOriUjYTMwanWJIehXcjChS0fsrPWNksRVm2TaOs/j1WuisJyERse5D6qbi2i3p4bghmJyagoOgfmTTSYJt1SiAtaWWksZkErRQJYdjqxJA4hIM2ryyoJ1Ibg0ccIjwqoTPjZCPnfKPZPIn/0Lml772Cv48d8988jT2HWJn+ftJ3Mnc0iARbmbuYdBXCuIEq1M5B8z4dQqy35ImDvKkaJEVG6eKr+lEeMzxnCXemkwDKNTON1FOXemmlBHLkdjqbmKqhIxCtkiaVbI6ZhthpbWpSrAW24KPTo0nkuWsIse4uQ8RD9q/jlaXH+Z6QWvuKRjZgxUx5W60rTvopPbQ1GpW4yNioaYA5ookEqxZ2dKkr44ptdtKAFvDte292VvA2lJzNvchToZGomY8F7QGV6y5Qc9AZtfEcHDckNqqhCaVqbbntc9NPj1kVqSijYFV03ReyCo5/zamHzvNLzzN50lnamf5+0kgdzj3IQ43JLcriE+E+/bSb8I2mQqakiFkHwGJg2tkxcZJIdDv7VoEjvE0SQM6PAERcQqssg3l8NiKSNYbqUQsF6elNJF0y7oY+qzMFpnuMAtnSHxVIygtOhWjg4Lbgt/iqJmb5RzjuiHrPlTxLJYhNBdixLZNlA9myS03w1U8ETGX4GBFTJnbrlekGLa1pJnKdzeIrM1EP41VBZCVtpRgpqS19E1BVtREQqit6otMQQMTWTmnYLI2ezNSV7RyEsdBh9MIZlu8EAQphGNwRfl0IhnEz7ZYpW21/dcDTLy2qkhoNVdmjbSztPKddbtE4lYJB02nSA8NAq9N33rVd+Uv2f3+6/7K773xb9SPnea3ncbOxc7v86Snn/kSN+TF+OZzxJvfm5O7lCG3PfewSNDZII+kzAahbQ5bvGEtt5beY+6hreabxdqtU/qrlBE5ZkWkqbUdyOqyjeHLSaR16CUwVxrKRBzW4IoR2exwvTrya9yhDSRxxb21hBDNrCUOaN3GBKPjMFhz6/DACRJJrRWz2KQ4dAqHA8AVqVN74tmKde2buHluj1NWPBDZO8xpuO0DhLqc03HvMKyla2TFxuHGYefFui3Q8phqWfGdAtf2buZdLDO1QCMVoVVCskCl1kXVyMqPYJ1quKewiRAqh5XyfiYayb8q/p3/sdN8nnSedn6fJ1XjOxtvV+5wbl1uOZ813L1BaNyNcEA4YJ0Ntu/b8v1ZIuQaDBNNvyEzYieNkywemns6QYK0B9NuRWlO7RVy1XLMikgc166fooqA2cbwiZuSzlOCCCkRkeZsBGUq1VBnr0MSlSWozhp3mCp1aRU312LEYZaQthOBAJMNIe7Xj8TVyXDN3dPcY4LEka296YtcZQg1RSmmjHP5LhVXFl9NEyO1h1lpxUpYj/GKns8Wr0e3kevOV5SAn+XUXaqRdbYehkTW0i2yYuPwBAi6IZg0hgQzTFZ8p8DanttCMM1nh1lU2xBmnQqqZm7KMawXqzZT+SkdJ1MNfe6pybB1FYSsjpdDZKWgs0a+/ao3/f7XHvivr3v3v/3aX/7Cq/6SHzvVf1V8PnYau7N2fp8nffZ3v8ytxe3HrcitTlAfhyE3bUNuRZ8L8nHq95HO4u+lP1/1Zgnv7dvrrOWMB7MuU1wCTIPVEXnAudgqsiI6Mk2MuGprCnGZbBePuVo0uYnUeL5LXp1WIhip2mGNO6wXMcPq7OlXbPsQzD64J3BYtZGku0CclntraBU7d6U4WYtthO+hTQM4m5qNGdm6hJXcIi78gFYbO6CtERI3cw3SYb2mtOFVYPZgo+qOtamsuiJqa59ije9xVoRZd6wND5jpys5prEWgbe7M2mT2J7NGoiA/2Paz0jLV9s1cmzzY4VyFdWql2b+YKcTXj53O+H9mN58nnaed5b/HzV0Kcg9z8xgBHXp7t2+eiHArEjGRx5NMZ/VrijetEYagRU2PA6dFrurUcrZnnyLPiDQGgRSc2i2Ib0T0+zzFg+ZWH47MdQ9roijBivX75pZrA+g7ay5bveeItTexrUW1PHBFaLlwTTbOqrwiynUfUsIhBHwaoFZWFIxTdyMKp2D2ilyrqJlaWUvTd+0EmUKkaopRRiFMsO6JcWli3XDLUagOa/XUqgqhUaJt7BrBx+omwAEd0mG9pgS9Cpg6riiE5qxT4roDrau2dUb2OCvChCANXDcwuZVJMDe+Qfx0iy/NRCJ1vU6BuS7Zn8waIV1mw/BbIRDNzd2TkB7abPxwjtHNsX+RYBTi52Onf/+1d/mx0/o/s4M/Nnbb7fw+T/Lf4+bmZMgtzZ3mDe8jhmHiOqCzZHkThhnkPvSJ0HKdjQI+Tr5/SmSdwqHDNdgcEw/0mdJqodZzIrVbHisHGB2VTTxmrmiu5ey5BVe1UxApt64Wwrx8ddUvpoq4uQ91qLMWalcwzNrepf6lVSquF0J+jZ+unOtVs6JTFTaHwZYrjWCuYBJXB0z/BPVxNGfr2gk2v67oqlh34LjPAwfc3L0VN3NFIrWrPNlqw+HnIZYpyFWtatazcYzpYTPY0K07nsWxeo2sZHGzTx/yKlRaNjwPBDrBeNujEHhXf+w0nyedp53f50ncHtwM3DD5pgfkRgK5l2rceyyz+bYJBW4zafhwvI3XXJD7ELIKOty9LbJO4SjVgs2BUDukVp2lNzuJvnx7S88NVZOvoH7F8LPemlVzieNIcK9armR6rkFSeKjhXBWVql1lE7x8Yqqk29pzjezFjbS1ZIG1NA4prdV6jWpK9gF9W5VQL9beYav6DSkEmoVyuqrxKymHiUjtU35VEBNP9XVdyUKwRapCImD6j68h7uqyRuqu/h5CuDSSK3VpnwcRpDZ3b8XNXIOtK9VqMHuOWa5OqRaO6Hpx1k7CrD2r2aYMplB8t67OVsytAcGsRMQqJbYORU/RSsuRcytAIpSAYEu//7UH7nvdm5//J8Vf9c76P7PzYyf/eaf55GnsSnaWnyd5/wSJc+d4nxjhVuTmqbN8bQi/Dp8XXb7DCzql+JWwlTumUeX02c0+K/KM81FienXqt3rS1qz120EdOHWj8FtjDLPt+OZm9gDbt5uWuyl/oZ8ma/Xw93BdyF4kysimRBu2dKfwqYW/plQn/jHmErT+6xCagu0qV6l6+BPhCwkpIMNkGZe212RTC63y14oVN/shgkI60a+X7xTMFrW9WrFd8URO6bNG2uzB7h3ngqRg7Tqm4bX5lCOrEjKsykqta8xsdUBFwnfKIDuWY1P7yaz9p58TcU1cd8wSLbfS9Cste3XAEWmAd6w/cc/vXXvd86+Gr/rWF19xz9df8exn733td72EH0HN50nnaWf5eRI3QPvmiduDIKefGwPkxogPgRuDLCPQGBJ0iBN/RbPkU+JErPr0xtCiYo2ovykC2gZ+skCGYL7tQydLM+4DQnEdmDo87xLxu7HkZqpyLIojp+55GpPsUE0Ily68+qlYy4HJzWJtA1qmgmu5upCDiJpiXaCrSEUuR9LpRA6+ra4pNYJTq6yIPsxcONfStiWtooa51cS9ypZzi9RpEfUNkgUmjg+2ZmqucXHlr5yG66wRO7GKvuut6NrXuJgtirOiCug3pnVP6bNG2uzB7uV67SENQMt1TIcrMkVKyhnMzoSZFYWD064ms2vPIJEUCkcRFuLQKmBNaTt/fL3q7HrJ2hMpJTZptqRfZU2vFw4fAn94MZIjnwbA1177nvzb4k+/7gf+5/v+B/+dJz+Cqp9C+dfu5h8Z/+NpZ/l5Eg73AMede4Cj7/3gNygORQmQmfW1o5HrVFWLbyEcbj8ikLm1NrF9e1SbacyK6YpCrQRTRLiZ7aHGiWjGq0iCa62KNQUHPIUcvHTnq2B2Rp3qtE2r5SwRDrLPr+2mmXupeNXcw1qr9l8jVJRZSxtcF75KgV7ZlRBfZTWPW00zKoN1qM6mE1wVGh7kbq5uE1fmGlk7Ybh5JK6K66nYZNJA7Uc8XuOlO3Di7tW16292CLIWHgJNZJOpWiNke9d+qqA91PMcnSjkAUUE/qWPxD1UcDNIldrnujOhHXBAguEouHIqVkEWTgpLyw6wLbyQ1RR/Bcp/avxqn0LN50nnaWf5eRLIYfUQe745vjxNHHK+/W7DCA6zpjgbcqZQqN/NRFkdkAgcHxDcNmDzEbSNqm9vMjcRQgrVEk7REkhLKovMxhJRJMFWpSEpLtO6RA5S1M+Wtv1piw2aaHvZGXV02lRFZi0RjrLEMdsIeVNcp2ruRey2Lkf9+j1r9Gtpg1bf3JmKm0er+il0fBUg6+fypbeqA6pfI8HskoQVV5HNbRFrJzXi5TuO4NRObGzzSIgSTolHhEI13jB17cpO1j4rJ6dxD6WB+Mlad8AecIiD6WpzLdEEvQSb58QerNKCtbGGrgjHWuTWQgRBFRJhOZWw1/kaEclaaali9XpCNmnByglWjlLm1h3Loxt+3RDWxR6SAqYoiA/ZiH/z7qv3f98pn0L5QRQiY+dr5/eexM0Mej94fNsNA0HHCOgNg+/pD9kpb/uW2xACdxFMhipYVF+FGol+suQwTMPGLeGtKzk0Fbhv5QeZDaYWIgZRCDMYWZBhW+ZmimgWi4LJECfPGhLrYm1YTauAWPoEfbbWiC0FEcFRJw0oKMepzFYFmyGSKsG9CPz0DLItWZ1YL5Zt6Kc3LLlVCqwbsklo2K5Cu2S1gUiF39reQ1LqJbN07bP1LB50nqkInh5hWJtfzwaYTSDLzhPJpcl1r5ir3HTaBU0zxCEYaVPVCSd4sHub6Sw2PUQtEZitTzkmivCdqkjPxGGa0oJia89I9OU7dDbBRECCXqkMN6/OZiRd1c5Dq1XYBzeqqZECoS4EQqREIpWTzSciwZbqeYtaRfgWDULWtwQ0X7bwE+QV6r7Xvfl3vvKn/+vr3p3/T3B+lxzO2DnaGX+e5KH34HJAc6twmiF4A3h8veXqPUAQx3uJG6mlBCE4BRkRn2JmVbUoJIJv6czSZ0RalitKME4UjFSsPZCenhlmQ8ilnBhZEwkmBawPvnBqOTAOTLeFRINEcBSxGdVkVpFNrJzsSfZTEWez0syuase42U8qooyzuTP1cmQzzUquKW4OQVMSN5glhBb0hKSxVMkwDYBRZohUjTRMIUrrqLDZp4enKUjDHNbOG+dKEXxvTJy60rZqnXASafsjotYi4pqFU7viQqfP+hV07bzuJ7N1x9ru1SwjDLEcKtB4jbQ+5YCqYdR1qiJ8ppLiPhBMD2CWnCVk1fgrP8pmiSkRKYchh3BppGLbOshYtiVLphwE7xSbtIEqRVCOUlmRWRBaA9AkNEz1So6C4nJqkCq2lJ2JzysUw7FztLP/PEnkIMZZp8zyJvSW8/7JvdRSgmTpkIVIywqmHxwIViQC1llFsJoF+rTKLdpm8U1U2Vk3gUhtUtSxhzSDgok2T0TxvEiRJR9HToqKdUhFU9R0yuppRvK6VyvWtUTH9uTkaV5XmtkDPNi3ROBE073KsBYynl1NFYM1pe7AwSxONl8k2NpOlTQASmiaztZa8VtFHMUTN9cssfUspmgSG65Zmzp1ltKckLbShsza8F4k24XswXlbdQ56q9hWUfezxjex5lod1KeHeh2NrH02DnF3TB/9LIdhtsJ9wE+uu+3Qk8AwyCzxxlfZoGgh0WE2PC2FcGkk3YIMLWotg/h2tT4BMmsDkarLXHHtxIoSqi/Ckd/QEuIa9OVpD8fO0c718yTOsWcd44zm2eFZhJPjyxQRZznH3GnxvRk84gbFpCcY/WRt3k4OU6LN0ls0jXNnrmrJyiyCzXFWB1OfCOI4DGkYJk9AUiC4LfCTDge0GdZbu2q12hCClhSm9FPdZtqz+ACzlux81l4RgrM2T8REZ6svpufa/DoVzVzltAEniRIcirbh3q47YGRvlmFdrFPIsiHpTXRdJpKFL6FqKkV7Cla/0iyqLL6E1gbxuifBLCSR8MW20s1Im0VkXenq70XEbFeWtodVgSUc9FZx7woaWXcvEbBeEaao66x+vY57q1sV6mw7Km0IH0d9d1sphlgaxpx1GD7IaUzp2iF+LbTiupw10roFLSoTx26J51mRJdRW6y2DY3C9LmItJ18aWLdarPzafy6iQ2n1ytaUoKsYO0c7y8+TOJE4Hj4dz2UQTh3KAXOOTeTOqYkeaNNzZ1ZkCo63kD2gkB4y5RBymCkhQiDObH14Nc02m1s9EZ8pxlVuq1ZNq0UtVJlZ72atdJXS+CqYAlY1421pe4gOTtbiEg7SU8Jth5ZtJ1eRRECGBg8i0QymjUpzi5JOlTUxuM7WiAq5XnFszz2xKOjj23QS8b0iDKMZhYatDQSzsSoQXNvIFHiwkBOLtsjaUlupPuLuUjCHZMWkJ0IVgzm9YBSOOzw9Aq67t26LiZR2XcbthCY9V3urI6UptHVdOszjS0SKIFO1E50USvNMGUGzXp261Zu4LmdzgaqJRCxqIYdUx5HAophty7FJrIlsXg5m1cGhuuKZXVECTIbtcDqbognqGzcl6KrHztHO7z0J40R65rj3PJENneV+qEOPPo6n1mE4BvUJNgXRiiCJ9KBCbQbk1g0fhBDZoAqmV6ya66zoY6tGomwbQe/MxGtia8kHB1PtGSRuNmNQH1pVA4k0fq1e/Sau1F66Uy4nux0FhjpNc92x1kxrHsyOoZ9EdgnMtmQPoclvZwlyjdeIDeDUciLxvQ2HHILkfO1J562ZdqFB0pml/wRTvUX2FBKpNIYpbat7EXuuWW2lIpy9qTW+RrKHcdqs1YNZFFKXrqKiU+AaATGCiuNT2gg0ZD1dbMXaYVuRm2YKDtjWtTdM85h1lWIqkVwLsF1ucolU5dbYZuR4di+SfgjmfFLd/iGwKJy6vXSOY59ywHQuTR2QKpbL5uBEJ5waydrbNbKKe+UwDeOHtiKzY+doZ/ae9Lr7X8GRxTk4i0Fugwy5Ado5dlg5a2JTSC5OvQPz8GIqd5Q3Pz5/QhCVQiFduaiq6e26Yr40BuGnyQOsT8A6FU2Lri3hpKuKTIUZNVdtV1FIdSOUSxXrKuhQERODpqhcdxsHi0JSqmZd+Bpplzg+Om5LVkEWWBclefO0gNmWxEm07TSQtYhZeO1WJI4IGD+FKm42U9cF8geFGmwE8UChRtaKae8gokM85xlBV1o3vA5DILdF1ksMQpDW4iBxqq+Lqh3KWSNr1qaO8YiA+JT2VODnpsOpvblegmTVbhnSSSJYzQKzXtG4zbdOwBrJAoN1RaoRieClkVwyFNpFPI6kHIha7gs4idf2audMVZF2Z1lFBdA+8ZtOdcw1pV2jJII0I60NK2ZnGJ5uTz/9/L/SNHY32Fn+3K2eQm4Mjy9nsZ3OerK5STzHTIXfhmuiETn1NgPrHZgemArN5yBTDCNoFZshl7XYVZwV7fM4nubTyYow03OlEUEBVHBtKc5eJxJsAD+aSWRYmW2qyjIkPfvDMEhQ5axUn1Wsje21usYRwanNK5hZr2P46bxe9HRiRDSxxtMzyIrQader1ardynQWrFkVN5txP+sU6H6GED8YPlh3xsi6uvBPj+BngevZ2IuTtclcce8YWL1uy8HVbJF1rzZ3z3gVx6G0PdsGkdqVWJdp/zhqqkYEwfg1d12vua0TpLh8adUpEZNPuhF1DjZ/jVyJXCOUZmiQYXrWMW57tfO2vfp1CqaJKvhIiVrdgewJQ4zG2lMIrImge0XQWvYmB6yL9R8RONF4SXrnO995MRi703aWP3fLefVcxjFe/x3IIMc090D4oDrMcpR1GvLoWdUIqsa9QWQvF2xTDknxzsTSVe7VhvmC1IoSTyRVDlZhCZdTaQxt4NKvfO6Y1dd+rKIDbipsRuoCTacxHAkpl4V4FXzQE4FjYxFMZG2VhUet6rfmFWfWCOTwiUTKqRNR2QhaVxFKVzJxOgzfbmUytOfwa27TqUjiMSG4yTEdZ131yj8lEnSBohsLJrIXXyOUMJiLDmYDG6dW1zm+mqevaDOeq2wbmwupmNkc46gRJ5JupWVdxFuEYXLTSYYN7dChjmri2t7tjeBbET93JZ2k59peRQkmSoBZp5IoR3EdaUmRxpTtQbA3U2w4VdKAnLa3Mp1Sjcjp9sQTT3zuc597/PHHL8Zjd9TO7D3pK1/7lkeWY50TGcezyHn1aMIxQoqOrzjhgwTrOYZZDzfIo2qNU8J0HBIrv2GTdWhuukoz3qu1vYq1aHMQ2SyXHchX6DScqVriFNxsI1VQprS1nD1eVMXopEODzhJH2ctBhEsJ1nSxlltbJVdCnOPm8evGNgWnTsSkG7GcsvRQyejnjVwMMz3LpEmvrFd8fV8MHhDQVDwcZGsEjkOw5cq/hUjQFbnbFa8aX6/1AeeUdVVc92Rzl4jUyxEFaU61K3sp2rY6rN3+iScCLesirlMjaycVa6ssKlNG8BFZ9/yliNiJFem/dQLmDm0oUykcgjlvTplIFf7U7crGJgWyUyE0R2zXt5ZuwaYG5xT7yle+8vM///M44tgdt/P7/SROG6cw9wxHVodZTyQRHZjV4eDCMb0eaDmNmSAp3GyRSqQVPUbS8+xD3NzaFYLQvFfp30iYDI2kZ/wWaeWaA8JXqk6lxJXwuHpqOZtn1qWY3lTw60qqZNb98boz25bQyq2tRjbMFF2bB+uFq4n4SWGqidSIvrI5nBWrFH4921ZEgQYg1NL2Y2K90GJrqRLSD4gams1xT4xk+S8R5nKI9ObaabhFRHegRrJLCa5qjbNuV92ZzV0iUWdzl9bI5npRtoFjTLcgQxBZMAejRkAs6Vl7pGCuKw3ubYXIJqDWrtFLEUknDF3I5gbuIek5GHs0K2LsSbZrXW+mxHRb42kVZGhph1EzWC9lGrjU/tE/+kc3btzAAecjpbvBzuz/g/vs1771u//lixxTzitnUSSuw0H04F6KpJi+R4haqmR4s5GLilHgBuOer05TI6W2x3DVxJRdHe43bjyc1K1Ya+1h+OsurYJXQnpra8fZ7LbGNzmRws/ag+ui4GwyV9xradWEmQNW+3HfrMgsjvxMkdjIibRu10tQMSUkx0kz+Hu5aw91tgU3qzRncyEZ4rBXmwfglHgtFLRE1lgdrDJR85oSbyLBTDXO8SWomCq03co1x9VV/Sw8UhKiuefXbiNCcDNiLfwqFWydxGlrbLNxmlpDaK3iLUfYGVslwlpySGqfe0h6ut1MVFPLdq06IlOtt71dbcFWWh0wnD/z5tcxPLavfOUr3/3d3+17Enbt2rWnnnpKf+xO2Zl9nvTa+1/BQeTAcRCNcF4dgh7cIOe7RYImVkIjQzCYWsYZksj90BS4yZsTlElKjfNHTWdBCFmIETARVh1mw4NV1Hik2ndaECgtRlDyXrwiU+vaeayEkPTEjbCiWkiOCsQZtimCWY5I3CrMyiHesoKbG1jVolkPWO1HTkrYT51aydkQkKCa9JagWJcWGkaH1nKNUau5DcMhHacqJ5hh9irrbZG0Whfi0JPDBa2NXTVeC7legk6tDoTGzDFjaFBk1crWqUQUURNsW7SiVRCJo6GZZnTqyTE3KwUrQalkpWH4CtZuI+JUZBkqEj8bEiRubkRwcu87a+Keo05WmlbTPJq3JQLaoREbXq9OjcSvWxS/opqiEadWfQjpivWC9qbvDuCYW5fAVC0tjaAckcil9ou/+It5ScLmI6W7wc7sPekPnrl4i/dA11PuKcxpBtv5bkgKx5pch/g5zaDB3L3cCcatZaJO5YNRoDeDjRm+vvq1lvy6tBXr7OYqUl1UnCcjcZzWCc9EER04dXWb8VqdnUmhaMq3IukEYTqLk8jqyGGoJpHaDFMpAUpwNs2EXON7mMua7aqzDLHaj2t0+fbTpjYjIIJmEfda1BNVIzjS6ianH5wqu+LaTJ1NUZES9bKqj7PuubJJx9eSeEqc9BbPmU/FlFidtBQRnRXDEdedrNuCT7AtkJTspB2mXA3Wjar6zKpTZU2ptDUdzuZ1T1dcr8gmd1NcHdeYFBDfKlUEPHDAtdW15xcfsVVORRpmNmtvETDX0Sn22QW2FNC7UjTSFILM1q5WZEqR9fQyjI7KBrlqLhb/2J5++um///f//sXgBZvfUrrjdn6/nwRyTDl2HEdPqkNOoYe1+hVrnCwOMfcVjlNxwqlM7gT9dpuZteqDphC8lJnqIMx6m+lXtGcWTmKNKJsqVk8JkVniITcCcVeHoMpRw6nx2ht+VQBtKb2lxIlOXrDwcbLVYKZC4E8KEfQJKzlXKpdATo1kl+I0JsNaFA6zLt8hKZeiUi0rx6NGXFTl20/tKrL1Cu75DbNMEClvHyxVqMvQhRtZ00MIjcgp8Xp16kUMgal0WB1ouWQg5JqyXtbKAfOUCMJRXERhLRqCfDgpl+DaTDDpqtWVVgw/kc3rbkUXgk7dECJWScQNkcyQ2XokCFIlC0xK1HTAtCSu8USywy8mgp8mgwmm4U1a42wOL8XsUu3KzWRYT1dNrOQ2JZIIJ7f/sd24cePv/J2/8zM3jeGjjz762GOPffCDH/z0pz8tYeyO2Jn9ftIfPPP1p5/5EmfOA8q5xBEZcl49mjocUG7F6tQpRRxygg8Q5TDxk0vdKF+qcDpT5QOE05y9VWwWPejE6nWlK7N1uCfSeouUUwY3Z+taiGerQZ5Z0lpjreKKmVqdWm5Va4WIm7WXu4dqHmdRiyc7TJZZV71WbF1dFZNuV2riE2919xQqpzJPjK/XMfuDs1kuTUprrRJvzsppkZRey1WExkVRIeKtmYqWaOLmsupIXRVrxeyes62WnLRa08OUk6CnLikHxy/oMo85V0UaWPd/D9uqD6YypIpLPiAnWFeXnYlTdUIDo7Yn+73f/eDzG32anf5lceyltrP8+245spw/kXubiGdRBw7M5mSK24CsDBsiEh+O+vHNtW6UgzW3KqzMTYTMTYhIXVeNgAwNJrKnZtHWUu2kTTFEGX+vZ+O1q0zFr72pRlCpTOGncxy2NJF80gDyrDFFTD84odlzKlZMnwlGKgS72lNrexUdEFqdir9GYCYLbEx1mGITrNtWnbqpuF6XY2zt5VpEEwLOWldaNkeUnK7YQzRPj+PX65jq1oVgRIJIHMdZReo9CKbnlGbIcsjdi6DQ1rUiZC8Kw4jjt2Yq2ljWJdNcqlemLUV8xbpj2Qfi2b1UrA3LqYWSXq871fW96FhScgzSwNpqOLcRKURL7dJvRrKWTUKdqkOXbDwplUwPIG0cny78bHi2SIxa60EkZexM7czekzCOu0eWk5fzmsdZfRi1810jIGcXzBGviBri0jzlnHviZuXcg8nihpG/PkFk4oTDElrFqmO51G2OmPscJLFVDCq7edtj61R2j1mU5WQ28dpVpiJVe4uCRZnyaZ5V6NSITLaISK6vmE4YYpK9WKkYHbBt2or2j1SKevlCwLciaCGbYcoOTcw+pP8aSdaDb3h+mREUiVtrD7OKHJt0mxLHkc0DoCZOCA6z2wbxI0UKjockG0V7OKfHwbaQTGXVRpwFYdpJ5RxgdoyUdhISYZh12cyKTpmVbanNRKohs3CygZuctFRFqh9COnSouG1ITgRHjqhaZl2vQcQJMpTgVBLFNBBnxXUHrhpps176elHa6RXrtds83sHEq3JSqg5ObbJibTL8aNapVbY1MHaOdn5/342b1nPpceQEE2eYB9mJ6I2RI97QKcQ95RniWNR47p90FXRKvhgOztoPUwi2Gxi0UI2A+UKyVlz9zYgVK6EisxZtfZqYrqqIfl2CWAl5VDnLPkQnEfmI1LWDZBG3EzfBbSRYadGRtk5VhEO5dhEJhkBRI6DDJOYRSbpOFHCI2JsLIbGmEDcRJOJyDtCiSCW31jp2cu0qUrruAEwQ3zXiUNQgWBey8tE5MQ4yJJj21pTWUju0aTtNJtLQ0mBOY4ukytpMimaqbhe+28hQqc1moiYz8cp3mA7jM9sI6ITDlLKWwEHQSFKaskwxJUzBT3oSgwiusuk/anX2qpHq2xWy60URc2nESmtTmxFwUzlB21gvaGuyijDMlDu5ylby2Dnamb0nPfu1b+XWBTl5nEVvY85ozuul6C2EAo5SLd2gX9h4LBrnbvG4UzRO5WMR8dYyXYy492EtjVq9nfZwvfPTNsO8hVidSF1avdXtIYnSKhnHr44MxZpFXQlRMwVma8+4ytnzvC7UYBwFq4hTbDWz9iNTU7yRiawKa8TOszNKVZrXN0Gve7ugpGcDjYD0aQRMIg5DCSYqTnyvwxqRvNY6juAYrFgvgRFKWCWt1osOrQVBFYxH+SAO5urUYEvxErsE9z/MtJ0m44jrpu1herBQXVc7DyCRZFERrIXWZphVAYdIDozYel6x6YM6BplFXLTJ44PkVNYiDYws/RykizWe/r1Sm5zTIzVOD1lUut28NCvNVRBEqkX2UoKZtZksME5FUrDw64oO2hPHztTO7/MkjmO9qUCPKWc657We3dUnxQcuZzdZNb2hjwMfczn03gypHmZLp6LMPFNSnYpoEuTuiuAxkmL1yNo2w3SShayRigm2nmscBXtLMA5/mHU/xaRki9psfZqDLioXos6Ssrlq+ZkiYvNRA9UhHloNqpNmcNrXsFaaYOvHotFxaQ2ZzVd0IpKjQDB7Ipl41phaiSSelOpfim6Rw7UuaNylWSsNSGavEsTPXjGVbvHz/1WscRz5SJkOMpU2RAjE3dhsHbk6KxOF1q0Y/UsxJVTOYjfRQikHtkKtGdWIsJYcxRybRCpm1q3LfVFlLUoE8XRemwynqoWgLw3ByCpofD2HtXQiNpab0XIMKXTVCFJEop8+7RlcL826dhApnfATCa6JNWIzoh2CiWRDbDv8ujPo5O4Iel/Ah4Azdo52fp8ncdrq84JT6zH1QGMSOLJGuG0kcNB9+tT7xPOd9KhV9HHA7HqbWa4ym4idwKQNSyRRpsEIXnon66CWiFXUAdPMGqmY2Xqft7h+qtRZfXOj4PLTrTuf2boE/RUtZIpDcY/vPqyblv3ZDLLtOii3K54lqJl+4OfZl/aS1VAFc4nU9vAJKuhmppCEemVropuJGsP1mB1gJW/WNQ46zDKrTqZIN9czkO0C0yF+4gRxiDt0LaBMdZgyXtcOga6crSutOnV/VlxnayQlVG6F0piRWvQUVNysLGp1Kh7P1s7dh3SeVpnNtatqoXlRVsG6xhA22xBrrhjymn6lCMp1aWK7NDA3z780cC8RRJn0Gq+1CNKDnayYbnFUWPcBzb2ikpkaO0c7y8+TOHY+ETiFnNocU84iQYc6NQLTB31uJLCd9apWERFugHYDg9wPlQMShJYHFlMy00/SEUy5xIlYay/ifQhGJw2s2Fa3Gbl0lqDNH3CCMO0KNAtkH8hKw7X5hrWQUuABH2S2XheuSE3JsAbhJ7JeceJyQHzjFnIrQuZPPkQBq08uKdAiZemUg2MtH/rpzUJGaqL8ei1q5+tFaZFWF6ctEMQnkh2rCpmyvVq6ZjGsHaqTOBHXAlmCOqGB2QQJoeWGUl9+tk5kKvrO1oot0kqk0KZDrilBIlgt2mZrVjoMZ+15kwaunZNib61VmBLgY/ErjaFVsnV1yqKtDRtgmFbrsQy2rFuLZC3g3jLht0iwpYiNxnLWuIko21XD7ECCkHHWfYgmTk6subndxs7RzvLzJA4lZ9cjTjDHlLPYbrwWwSGRuIkgBzrpYMhhEqSQtVastwopmcLn3rOoQSJw5DtMEI6PLSPyaSyJLSJ6b1u3tl0xT0PQ5dSGV2QW8cq3N9DlEG871hBCOlTBBlSuz44Vk4IU5PWpt0ZWbLu0uWk1kuazwDrLMP3QJGpEsj+uSwLoGolLRrBKiRFMrXUfVkwiJUwE03lKpzEjmU25mtX6SbfZsXqhodWpzSxLeFoyG3I6r8pGoNXFrn8r0K1mCsudYt2KtXMdmPawRsBaovYDtogpKugTbLXaLE6N72FLPyDUips9ewYgZLv0Kw1CO111jW1KTAOXtirWvbpqhIpZ2qUH2EgWuKZs0vJIrDQTiW/2loVnqs5WjCblUIMPMsU2ZoFj52jn93mSZ46zm0O5eWRXJJ3bg0QjDHNvVFpuBpkMKeHNFjRIek0EvT2kkU6rBGXWQqQztPk8j5gyV34tukZAbvjUVXPTD2bhDRuZJeg0ft239LwihGwOT58at//MinXHGFrFyPrUq5EkNkFQtWCdXTWzfEuv7aUfUKt8hm2NPogxaq3tETcLVL/OVmw7Ywol9tBWcdqFC7rSlE4VCXZrxbSRpZFbpxQB81ZkxEL6BN3tNqVyIiANK+KS1zehrChxnLq32SuHYNaSK94iaGZ1x0i5iICrYIrW2ezMHq4972ErhM8m2FuQSFJyMvHpxx0TKSon1dnDrNFh6oJwcFoDq0KN1726agTB2i2I+HHk+LRfSqtIdXqAua7LHfBk4mftjamOyyEuSs4Cx87Rzuzf4372a9/63f/yRc6rh5sIp9Ahp/BShG8Wx9chR/yUdBO5GYJEcDbTUwXbKyQhzWeWYC1EnBvsIBIFfGtFqlWsmKk1ayWvCJmnydo8anXJEY9jEKwLacPK3Fu1aGJ1git/U0G0Yl1grY7PSmtvmxtSd4DEqlPbq8zoG0978TcT1+p7eJBiY4rXRdU4fru5MhvlPZ0EN0voVAyT2TVlxXWL4pyOpBxXSa0sFqsiaWMVb7jJRK1N7Qk2Tr0oGdbeXBeRdTnhWF0nF1oRpyxqFhGstSetOg0b/5QIUjaPf8rVqYhU3ZlTMCmUy21+6brWKYeo8WCscdGFMDv/HveZ2pl9noRxlD3lHGuG9RsFDuKBD5kskMQMT/8+gxOfopx7h2t6yHDWQvhgdJKeWXODLHYzkjaioHKkqgPW3cgUwTUr2FIq0kMtrWM/CoI0qZ8qBt0ZfB5PIH5dl0w0nSLXWUoYYSq7oU4Usid2uBlhaCTKDK0YJKK+CLn1BrbNyX7KD8dakQKzaenNuCXCWRMhpGKt3jqpmFoN6wLrokCXQLydTzDLYWi86oCVmeA6pZMhqKxYU5xtTBBCtmtNPBHJYo1Nf/XBbAIpJK6HqsrW2RrhtLdIeq4i+iHQycqxnzRZ2zMFRwLB+pmTnxspAkI2BawXlOopBD/iRGwDH0v/VSoN7636lIjN69hAFtuwxbMVe4QVk0ID7YkEZl0r1oYzRC25QQiWwBk7Uzu/9ySOvqecQ+kBJeLxJeLpJOKhx4jk9iYLlJZh0jn0pjeUmaI63oFMXUrWlwlmKncXaANo+kSrvxG8ia4InaawamIM63M2U2xRi1TMU2MTs6Lk1g2pBEpLYOEHKxLTj1uR3WY2+jrGK1Zyi3BlD6asGIRD3NmKlnYtbXNMbBclQwXr/kBQgchmoTo0kSxrgTSvSKroN5S8t0BlE3dpqFmUElmXmCkEVWbohWu/URSmiHKdql3ZvP2EDBqsm6zfyK3KpX5FdLKNcNSvXWXtNiCSuB6qipmFbOmDyB6GsMnMTtb2sKRkx5jFkUZp4jjQ1pvOlCjo5EK3lRLZ29W181X2OFKbJ+iQeF0FkYMr5ZTp9bKu6UkR27YED57GNuASxHVnCFrLZsbO0c7v95O8hTh5DD2L3EU6BxEQnyzuEIMcaBzukJDjOBu/JsK3+t4jHl8aQ+/D2q1TcpKYKiyNKgzb/R9MD0msCust6hoPCFdFFdC0pTwvmG0b0kqDNL+uqCJ8stTMMyUEI6x9b3NAZuW0SM7MyvGiE6lrkUAzcrLt9YQcYNtnchFZD4zxVsKiaRKk+UiB68bWqdVfT7V17ce4Qx37sQRYt6XtGO3Ztpcm/DAr30LBGiQLWqQas6Hkqi/WU4E4NNojxXjb3kSUTTO1q7qZiSiSil6gKgsmmJYOIi09fa5q4dSWxJqCX2czZGm5NK1iFalS7gaR3D5pr+52m0qwqZ0Y2Ww+Tr1SOZlBphChNx3VaqQ6LR3N9NDwYLFkIWiHznovZF1MQZYDEhw7Rzuz30/CPv97X/FMgxxEz/0B8kTg7OJsZiHYIhnGQYHb0uoqBIlsVuTWglD5aYMgEW4eh3vtSTNRNWejmd5MX9uoGP4eIToHTi1KSyvBno8LwTEd5ubqtLpGhiE0bOktcjwbrA1DqGtJJ62lOOHvrRcChyfl0KmzdWlrrYrrrqZ0nE1aIzs8pW5bIBEOrbvnlCLJavxaYq+rE6X2mie+Xk0xrUZzdS7tKk7dhFqlYmRvDdf29jhtN7In2Q38dWnMcg6NQ4gaThabSDAbYgTCyql196ZOjNSGjxE+5fauTjo5cFoujvdp7WfPj05Nb+uqzFyO73/bNYYn2vx+0t1jZ/lzN84fZw703ggy1SKg33nUrPqdBBGwKmTo9wEMuRNALArBtWL43BuVSRtynMowjjRmKw2H2484zVRNe6vpwbWluqgarJG1n+ZUEVtqBGZr/8FaSE5dEXsFIYvCaWs0xciKlIZASkQUX/29iA2nyboWCCirX8nQ6v7X49QQAhUjAiKScg7TTKvl/jCs5Sq2/ceBv9IaR8x2kZJCmxWzIcTdvVQxmG4b30WJRLLDQSLQ3KUDqeqAKtsqh4dgshRxaes9iF8j+KrVS0ZEcnNYeCJ7GP3TMVehpjdZMEtz2C4lyCxxr45kgnXDibghRqoaSNDEVhSmV8cIWVjliLmnsoRgrsIpEVvdw7Yc+HRohA2pfWYh1SHFrESSqyBtOJXlgMyaBbNub3RyMGpWRflw7B9/7Bzt/D5P+o3fuuER5whyuD2mBwiTLE52/CQy5DRzgo91SIGpAj587gpzE4+IJZxqqFrSTdwrBM27NGpxQPyaKG5qVrx0pacjDbRyNlb3wdk4WVGWU/3mZMjFqrsNZgNbSstt2LISIWtd3VXJe7uaKRKxyNYNSYmGpuiHf8rlO6BFyiH6iei3ii037RnJctaULE1nVYtmbkYbIAVnZVZsreaEJBLnGFvDtY1Vqmq2hbfInr8ZOVG20kA7Z9aea0pmKy3HbI2gHPFWhWG9OimHLyft1azN+IkR9feue0V7yErrI50pTNk4Mhni14hqlVmR4KWna01sS0uTOPN50pna+X2elGPNrY7PoTTS0Dg0TmeyOPRJZMg55j7hTCdrRXRwVMDH4YYkYm6Uo0nEqYrUVc1yxuUHSZSpTxUQi44LEYm0dHtrwYZpchP3dnJFG6jlyLXPXBRn44CsyFUYxNalJZJ4tgv08tX9J1LJiqQZ+UTgq7NGINdPFEQ3P4KJwM+Sg3VXUducMteK+AYZ1m5bz1la+Ovla+XEvasMOVKgLSVi0XTS9gRC2jMdv14addIPPRjHSYlKAK1ot/bmVpPVmDVXAuKSwbSRiKWPEWatkk1ToV6FqumwnUAjSBlxyaTAsbeIrJHaUt3PJlWD5KZnLk3qBrMQHJDenFojtpHZKIjUzbZYzvQkrvtw4qo3I6kVXM9AkCkS8U1PLkM7N25vYeJndVWNNhIPGmSNVQqMeIubQrBuC8OUsIexc7Tze0/KYfUgcr9xCj21nEVniXi+vdOS5QOiHnQPsbObiH6rpWBTjib+entzGzNbI2TJD5oF0yn8TCWrKdd0lwbBYbaiYpsKOQrxj9E2cCJed8ahTLsigp/OWSOzxBm2r8fHiCxSKKiJkwiEqt8cZg8i+Ii4Icb3eoDfNi0LcYiaUqJBNtxaKe2shdKSu5phnFyvVhfcvGSpvl7fTIFEWjMM04kpKY2fruJXVNPLgW868SoC04aNhGBi01yX5t6a1cib6H7uRTYbTtvrVWhDaHvXK1M461SLiHuthl8xPTOLuVGZdYtYiAusU3XbjdBGlgyubRDM/lTBgxXdWoTe7CSnhWbqaTEiB2QT9CMoB7KRisySq+8aXUhVq3w56W1FCWu8LlBOGnMtY2dq5/eexJeWdky5N3Q4pjjMSiPiM4Vh5QeJM5v04N5tAL/eWlGufCJ5xBP34QIypJDxzSqtVVehoE3ioMyUmmvboDtQnVvgrMvfbJU28g5B0K7S/4rhgERcQiIH2PYNTD+JuEvJgmzKKRFQEdblMBUpJN8Izuam5VooVbeLCFctRZUybi3MeHY1jSUeNXG9QJvx4+tLCcRBI7XD9YTQcwg0tu4PTg6DSJaciFirypKVYG0gwWCYYGjHmP0EbbjePghW8fjRb1chS3YI5jZPJCl7l3IzAspPCTpZFYLE7dOh/Ts8WA6YbeePEdMZmt7ayJ5XwZDTv228yMh65A6ciqbTM0ME13vNKizNip4ByevjS3QfmKrBlVA3KrNZV0RSy/0cO0c7v99P+u3/+BRn3ZuE44jDcWzIFIdYGimNyXmNAic7szW+p6yaWSDDYw5+yHW46md2TzC5LI2bMCJpe008mNqkrTtwoGAnPLwOtnozC1rWokMVV7Tnh694nLRXs1puInuzEWF4s7ULk7w6xwtckUQLBZ9Xf2Hhdesqx1marFK11XUHmtNSqo5I0TZ7s6/ti0iQqfQWfnNqG5wN+afsWPhIHfTMVL1wp1/0NN9un80eWm5TuBLeQpOtjU0F9yfb3uJ1UXCSW5dsPKcoFYljld8SN/t5kREq1p6viknHqSXArKViVp2zmv2siTkqyW2riPhmFbFu3Z958+tgnmjz+0l3j53f50nczxw4zh+HWKchHI6mNHwOaGM6xYnnHDMLp8ZxEglCBlUzSySeb0pE02lAlEYDdYi/KpvisJYmaLlocqNWkbS94t5UqxLaugNVoWXBoRP6kWOfexcludBi2RBX5C7xwIJsHOVKw4+IDgT3XAVpVbNG9mbTP4XogWAq6tce6gLXi7UiuSlUNfUtjY4lGrIVTVA+DrMtsjqbwyAKacCIbdjheqptW050VkdBODSf9Ta1FUn0LDFsXTWsF04/N1dmE8lBsnmDUTjoYRMjdSWsDe9FgtaqWwe2RdFn9ocITpjrvuVoMaxHl6Ca+qmIj8WXHydkMNtyWyKUSwl6jn+MYfLHK9hKgHUnxexDtisOf8IhvV4pI/QcDnhQJegBQ58hztg52vm9J+Vo7j1umOVQgp57fG6DylHBu5RZboAa99BzBzp01lry622MMkHTTcFhqj2CockX4ZjSlMH67LC0Cg0lK1LJVflgqm2dNJvfi9C5vbXtshNm3ZZs9eYGmlVz67Zkl+LAqbtNYi2tVErIB2uKWCPrLFmkm9uu1IpZILh3AsEsn6z18gWrDuJ7hGBd+KWRFk9LbheOFZ0FacNuG5NZ/Cy/aia9lcPPjq1qK9YrWFed3Ipti7J7ZuEkUjcWtJ9g6wqfYBNvuP7TzDVy6T+j/2KwLrPuRl0UQ9cS9Jo6Ve9fHIKe9qagbFWrF86pmlKR6/ViIpauz8AVazPuiR0yi3NKudzCkVVNHTjsNhymWpZOi4u1SvOtYhBn7Bzt/H7uVv+dySCn0CcCPhwOPYey4poiMstdsU4h0hxQZfkRr+kSeFx6A6+OKQ5TS+QW5VasEUu7tEtFap91N5pOgg3X2U2R6oD46aftxiZfVHnNPRGriPqWWAWzY7lkqwPHbTe9bfImwlyXs9mVxpVVM+KtsaitTAntWrTIOrsZp5Pm5MjdbPNi+X6FqEynXH5tGP16Ymu5zRTVNrutheyBoQors+7S2u3qWDH9iO5wOGCCUV4vR1V4eTClcxLcHBdl2zIh2DBB1lV3IOltvXvlnNVPipprYuvwRUbSecMcm9pMsAaRao1t9im5nkaXxqxqSXwxWGsxnH8X4EztXP++W0PPen1zZxgk4hTPkZro7Kbm+q0GIuHXElWTKSI8yJxanQyjmUIsoTXpMJ977YlUsrk+DtrUWrR23lLWiClgItmQinD2+EGVmYVfd/IYZab5fNOZWqtUdiyzOImEY3pLqWrNdyE4JtYLkU1jb5myvfUKxqmXYJPJsMoGa6TNbjYGGrQlI5TTJ57GKsEUBP3ikS9pInUlrKeOIGp1CVFLV+nTipDTA0F9MFskH8fNoRmZ6UFHM0WHxlRDIV2lDbMSjEPcRAsZF6vOinX2xfspnbXEAfHDxHdRONk0HWbxjbjeWqii5eLXFKWsKGHtsIrcQsRyyNaKdp7TtU4lKCLVSrThpixo7qqz7tXe7q2IjvqkeBONnaOd33sS3xZ4BNth5fTr1KMvcoc4FQckPZwEM9Ui1M0XFTBfpJmtmqDxMHMDJwISkdxyE8yXJXGVFeG3VjcFQWhr0ZW8LnxvFrW6Ia2rlb8iCvDpwaVB3lQLelnBtjkimut1B7P/mU1EDr7NtHhVq/66eyq0pbk5tUkV1irrQioBP7LH+xk8aGxPwYr4awoRTzsGZ1Nh8yCFj1NnM6xZkl2yu8TtbHDd8GyjnDprikFLu6XZbfXbxiYLbLM4GIUSx9iQaKZPyhmhEyNwrCiHrFvjpHRaqp0zVRWcyl7FQTZZYN2KtoRUBGsKUmwmHMlVhKHBJN5CBD+FmrPiOuUCEVG8laiFaLvliubaxuYygwe7VyPk4qvMlTU+do52fu9JGAeOI+jjG98j69Bbon3tyRF31hTOOiLe+c7iSKhSokycitwASFVNRGDmxhO9gWtks58EV038VYQp4q3ViDRksSsnERCThriR1pWz8SG0fmpXKtTeopZNdkU4JvLg06krXVcNbrbnEAJTa0rDKluXs1muIUwr2gZYF2Ub6SFB/PX8gMRxFFQEx0I2Y3vi5tVppYk4VCq5UWgRET61UGjNMLQZHPvhMq0KqQjahq2yQJwar+Sko2yVijkPkNcqxjlgETFuk6ZQGoe6San6kpPVrkuVBT3JZtV0nPRZG04bbeqqHB2xrdT9xAmBRKfsuZLBdulJyWLX0vamftXECYcGdCqaeGuRtedEICTYpoIukNnNEhWlKZVjSYqzBFVjyOa0Za7K6+7FQcqTw9B9xh87Rzu/9yROsM9HDqIHOjd8kHuAA+3940F/8OavWCZFhymCHF+GcOIEkwIzauqDDGsupVO0ojdwjbSbrdVd+yGrvnO4upoCnhLZQ5iulCEL1GldNXT5Lid74tRm3XVR2ZYsSrW6XZCzXiPpU53UimxtbA9rCRXMWq9UltYaaGtsq1NNJui125QF64bn9CYLsrPienVWp2FrdS+SigazEJsB3ZwQam6NpA1WStYaB2uKdTc3x6EVWxUbrhGxNqlIFrLqpyWc1gBBnxj1qSKBRNNzWhKJSO7WRG6NkwhIhG6zD/TsAwc//EpovogOCJk1muVutIr0tqkgQTLLr+0l8ZYjaKZWq1sPT8V1gUQUZFgXmHKbyqbIxzdiSs6GOlWZIQbNIZgqVQo+TmbHztHO7z3p21/5PQ4fxz1nPefPw+qdwPmWgMMUWA9uptZTjjmUv6rpiCHfzLu44TPb7slEbKbVDW7Gm45tOMUNDJ/H1hqpVQ6wPvLa018phnReIzitGZy9TqIG1rqkqLNulMisTisRQTe8ylapPb+i18I2NmebAxN+29u2OtXqRoG1garmEjD4IPH6tRkOidFvVycVawTMLqGm/kEE9JLZT1WjdG0GlF9xbyvAVVDMVQPbekEFzQXts1VBIX7FrILO64qUMtIuJVnpNgSG6761Pl9SrG9p+R6PHrJ1tITjPtgbSKt1o+LnCDFUqh7stnxRctv2eoYrrvFbjthMPSEuti0kp4LENeK+qZmVZlhXZG5SQKfwIaMpoeowtPM4Vb9GcngU8TqOnaOd4XvSq97EWeTU1gNNRAesj5J6TKVxgo3gGGynPEyDeVIoUmVB7gRoxk0EM2suHAlRk5kSwTUiVs2oWRoCW6GjbI00rPp7tdpspJoDwTZEezvuZLMiTBKzyXWB8IlsliCS51pFBKtU3X9OBbNrCRwFW1zm2gC4WbohzLobpLfDoBq+1SWAEJySWXVOR1OyukRwasRWGVIlqzMRZIpNS8MiiXtLXlHBvVnrtvVawg4ZErfzllsxrxT1qvkCgc+UK8LJKuqU5fBrD5nKvqXPlxrtob4o6DOVrkSH0syqsxWzCjBSlotIGqjxplNvrortbId51UjtU/QoJhJCnPRpRCk0aQzHYW1VPujhwbeHzFLRKYa1StXJ1Vk3pEbackgZO1M7v/ek+77xRc6f94An3tNphONYn6G5GRrNCLdHznROuYT6nKpnHay3rndFBJmqTJFudSinAxPHEulhjQTVb2o4EmwSTIqR6NCVkaQQ2asl5m7fEzd9c5M3s6pmxbqZ6wJrXLSE4mDr36G0pESHoOVqCXUYsoq90rXJbObe1oHy4dRhUzZoyma3caJzOtoh16hFwETonwglrCIyZaJTtQ2xSoHHm8CWkhVO3TriTT9O5TOEz/CgYs6VbZOijmg6HIf1WkSEIJF6AFIli91UWCOnz65MsW14xbZ2hy6ZrLQKNmYNygdtQKdWMZ5chlW50WpiOod2CxHaswRmaeLtMZVO0l6L4FdNsbaaTai7UbvCB03BsQqz9Vl3CtZ00bWMnaOd5edJYD2F+LkfCHouuQ3wvYsYmiINdIpbogY30fScdbB+vQ9TQaZy39JMsgzm65a9mWgPdl4jUc5slBUJv9JA4xBopjkkrlPHd/sBUrQuBwdE1jZqS8dNguoE20orUqsKtr3K0H5yBqLgo2rdQ5kEN0vXJlMiF85h9eVHvK3REnZCBI5OI9QeDq7CLSAVkaUrS6Rcu1hrPyARZsPcPKsgTBbortYdowGclN5cL7PwdUCmIrtZsaIdRrmmRzxTpDx48y/P2g9MzKm1ClNycoSiCdmIUkRy8BJhiJG7ZiWyHteGSNWu0iR/SNyc2gxaJVtBV60KuLnhJDJln2QRNGXtHP+qkdoeDg3otB4qpsmKrQqYldYqcfjTmgGTAgeHBZp+jNkHkKH91yaJjJ2jneXnSRzHnEIdj6Y3vCeS20BHNCVn2rNLSoa5Txoytff1BoxsrbXZQJtKCVvitmyRisySWEsj0lYkDWQ2tU5xrLuqXYqkKJKVKlKfSvGzw36ZIegq0kbD+nCpWMXB1nz2UPGDSyDaCYn15OyVbilWoUT6SW+NybAdm4rMrhVrJFt3C9doRdRqoYp1LTJrq3u/JRNy3RCZ+JVD/8Qxy9U1NqxD+KRnb9tWtM3BSaL6Nd1hCPh2aBCsvvpB47UxcqOTWm2KrsJZs1okTt2Z6tuGTYJpr/qJwGkHJolgNPeQZlYpE+sSbC8RsfZ8egS1WtFbcu28Ys5hw9OrgPgrLajTFlix5rYraK36yCIydo52lp8ncfI4hRy7zdug3gA5oJxgZ0307Dok0dl6xKPmrciQJ4WyEHLoTUxEDLMGG6bEHuZOA9U0V3Gc2nNLrEyMTtJS642hiXs7sOeD7CE6VW2vJXCdQg2ntopOmq8Pl8yCDM2tapvitbED9CWAlARraTENIJ4dE4nXlwkwS1DWYV1aU8bJ4z6c2kNWpwMnDZzi1whV6pcfG0hpG5YvE8SYzZAUMLRgesssfypTBYqitq6xtdSCEcm62p7EsUMXRTnitQeHtZCzyYq/Fq2JQXcGzFoSkUO8RVbOZpZxkHU5lSWkpRpprYLqtMMZZDaXviIK1mVYxev1TZ+gp6JGrBv/9Ej2f6/n0zGa2b2sC6zMbFRS2rZkmPTKYWfMbbQIZg9zacbO0e778Ic/fOGeid33jS9yBHE4dtwGHseg8Xo09Yk767AGSfSu4Kwz5IgzayQ0hsa5uyha46APi8iGINY2RDsxdw/bl6Vo1uo2j/6aKNPIZnqGxzsQAlVUluNuo0Akzx2DtaWQHWLJpcql7e0F83QWU7eK15R6CZqPAn4lr5gGILdNwGFYq2f/jdMJyDDnh3h+9bgtbXP50Xe9cBy2K7J31YzIhJCLJaYijkzVcCxdt0vM2iumSo1UjoJVp2Kt0jaBqYi4mYojWEsYaQpE0m22IspZcoYwJaQoU24dkbZ1Lxu6OTitpXVpxrMKmMYrk2HWq1MxwXaVq/5xt7eGlrbz1vNV0e1yFei0dWWv1Le0U425OVQ8wVW/kW2JoVs3dqZ236/92q9duGdi973uzR5E/jBcjybBelfjG3S23VQ1nbOu08gZ4mDcYJvpTFkXDAH04U6WU+GrWRX2IjhINXEE5aTtIDQIYPw1PVhz1x3QqVO1nOJZWprfJIPpOajC2l40azB4/MwFEa8p9RLkVOhDWIuykBZxiG/nrkuFBNuiWpwhOgji2w8RLMpYClUkJTrHV8SpxnFPGCrVlJnSX2WJ0E9eTYJEJIC54g3XuF0hWJGgmhSt8Vou/ayCaySJkUp6nNAg1CyHYIoyxdDjZIdYbfulRi9QTktaciHr0oJwTK8Egjnw+G2frZVgUo7vrBeDqQgyBKnIAmvPLifBU/x2Ytti26ZZunYS5qoA5umxzrYs0DvFIVtHhzDHztHue+Mb33jhno/lgIIcPk8qZ92jyT3Q7m2CctpXNfgM14PeyKDKchJv6WCrW9G7l6xUoQel7HwzAqb5tC1yn8txFkuKZJDNqSlifbhIzhJMjybNtEjloKAIncTZI4ttdZvtNc3abfyqYC0iNa4DmamkR3MP60KaY2nU1LeoUwmmGeNpRiTIMUCwJsqXbFCsqyYlOjkMYJRbpHFwUItUrcJQJj7Y1MDNk0xu7Sd+xcSzJ176JpV+GNYli0aYYqhI3dK1tBFTIhJC1gUtRWuWTHMzhUNRsqLAbNquPb8U/nqBaCkLaUuTwBCFpFcC8bb/FdvugQzBlBPVh2CJ4/73fLFtoxVtIz17xQnCNJJFkVWfJ0kkfrBMCFW/dVL7efERMA7l6JCKY+do5/f7SVg9iBzx6jDLieTO0eHs4oQsZirBzSMOwuSmAtdZ/qz3obK5FcF0YiKzOhJ0uH/WSBMnqylLVg2kUB1aFB1QP+jDBf+UHdhDm4msLeFXQksJ5krV97AVW7fVrxfdzXGl62GwK9NBxevxaJFWPRH0jSObpSW3Fo1mmhFRg6myBCLycdpWpJxYda6KpFfxrMu6cECmXAV+jlwWImaLVuYmwiGrnmSaiYjV3RBL1AsNQnYTTHEtbUtBdFoEhJ+2IaxdOeUw4mHWKTqpS7BtgirUy0RvTiFVO2ddZN0aB8c2iDNrn5toYziqKdVSqIhsCom5IqFZjnhySWk6Lf2qa0xRhxGsVcRccfg4WWadigNaSNmKqehaRCNipaEQsvEsKpG6CTWSQlUWpBwOwbFztLN8T/Ju8fy1E4nPieRYe9vg1MMqepMwlaE3Bke80kDV1jioLLk2ACcVdVIlNzCJ3Es4IeiAaySylsO3SWkgcYbSwHbfwqlfHjYxKZTb24E9JJesJtgILSVoz2v66RgpGiaCuW84ieMwdDMb1uPRnIruc42omceo+uTWdeUygcYz66ZFzSZbcEXaqDpXxb2TQF0bdpmugqHBtdu6V5XZzgxqxpOLb5BZRaiOQzx7FXIwCjDTUqowZdBmal0xOhYKp5bIIXFWprthMDpqYnDMlVbVmE2ukZDjXJVTjzFB+9zEXE1EcolbilNtCbWutMSr+KpjieP+29TqyIxfq4i5pkayzEQqJxVX8VpaHRB+CI3WhlFuBHGzUJ0CHaIzdo523zPPPHPhno9xFsGcwnouiefmIcIwt7Qp602CWnPAKLd4Q6eQ4onf7tt8NTVuOSM8/kJokUqupY3QlTQbWJcvVqkVmcXcH0UYmruutJbQl4wOPSto8wju9XOcflUkEUEvqMvMJjNluVwXg2kvOgwNrpGgFyiRdXXEza1nTNyMk5VyIOcQkQzFtdtTLsqej1Q7CdGP4Po1IzotxWFlgraXFIZtpSRmCQ5R0AiC0oKtHGhukFrmxrFuI1gIRJAgftuKmhJ+3Q0wPppkpStp7WLlwKSKmjVyJY4d4hOv3WaZa6QKJh1EwW5DWDuR5tIYttMLRseUCMpP3SgksnKMhAnS7VrxSujyI9iukUF8VpGLXgmNVodgIyQLqbqKygTdZNBZ/LFztHvf+973fvzjH78Y3SG79957n+NBd5p9/ve+wv3AyfOmbciphcOhxAFhcvtxpuUbDHKUN0VWTMXN0q3oisziWE4//NURj3uDnNIya4csuUqBBLmZ44ewVyVqm5wor82vzWxuV81qvV3qm8g1XZcJ1m4rvzmb2KqsuG4FKfWApW46rCmQpTErB1urJBin7eoaWafiIIK/6teUWqWuToQfB0viyhQhsHDJqYiln6ZAJD20Drkce1WOcRXkcrSLS7Cm2FgOVT1g2VIbiwjDRNrU7cJ6EXPMDi7BZnobqhaa+4zftkhyatXNyWI3BY8x5dZZdBRc13U6rs2kWxBf2uZygnXW4dpzsjbTG1/B7/vu10M+0a70ZXHsJbWLn7tdv379fe97HxcGe/DBB/GJOHUXGgeOg875CxIEuQG41TmUOgS5w+Xz3YbnlalgEznAVNTh0NfZFK1oA9z2IEM7hGwwTAk1Ika/1RLjUEXHxpBiyYqkAWa5aRMJAb9qVsx6Vw79pMnWfMhtu2o6mMbMar1Fn1xppMhhaARCVtFw85vL1ucepmJy0yoRnKyCob4pbZlmOdXIOmpK0z/oFtqa3iLrFI6bgN/W4pAthWnFWiWYthMkHWZqVU4QjpfGBZplaflEqoKEzR1AJ5q5rKcgWVkUEZeMmn4KQav/bziceqiqTw+qJQLCx7FVS2TqdiHKdYtyyXCOF17Ts16HcBJxf7Iz3mWZkszFUpnZttjoGzwRU06s7aWoslfyRUTqEizhUDSFeL2+azN1sZLjBw/S2bQ1Yj9j52jPf570wQ9+8AMf+MBF4AW7du3ab/7mbz788MMX45fSrvTi7OdJHDtOobcKh9j7hBMJwlkdjGNKlhHPLlkrRnCPsIeUSA+tAXDt0yA35Bq5tIcDQm0jDayOtU5ZaWhxmo5I5ECwTdXE4Nokl8z9Wacaoi/TUxEHfiMc+OBaKE47b+saT8fWrU2mUEPix2p7GP2otRLr8GCNBHP7SGtVkoVONCtzD7MbrZ9VYbOxJiVBNW3VTFDxOMQbs/F1DhrO1Iv0E9lbDreGU+HEgbOmm1U3U1oEV5SMiF/1N5nZQGchtyVcilU5FdN29NvUykkENYIRT630Jr/SKtaUFSOyF0n66lD3+992jeGJdqUvi2Mvqd335JNP8pLEW9HP/MzP/H9u2vvf/34mbty48bf/9t+WdLeZ9603Cb6HnlMocih5EIA1AnKaE+Fwmw7qK0gitM3v1Y4RKXQsvfl9DLLqt+BmxEXZXm0ykZUQtHRrYI20Kscb0hymVMhKwSbYsE4lpeHabfZn5TSUCQd9+tcBG2HPXy9Zq6hgW8gtY+02TaZiQ2abQjsMm/FsAsN1UWKW5pBNkL+uEQJfhOSHJtasdiOAmzdLQ5TB9FOROOJZV22sLbYRSHdFTa0WUhyyDkgwJ6FigibmzFTxOqVPM2ZRoh4z1pst2uMYcTkOQSyzWWlzmK0NOJUOs+0E1clUQ2ZV87qHmQZYQjgMiaNZl38Kkkti/LoQO8RJoTrVOIkwRCpN1lr2Fr4EMZcDXINRI2u9Ri2y6kTE9sbO0Z5/Qq0fHeF/7nOfw+Ft6YEHHjD40tktfJ7ktw6cvyBTnFoOZUWYnOM1DnKCm0LITm1W2cNk2Qa49mBwr6UWh3wLbYir+Ir2aYk4rVb4WU4cbvvNRamz11j0rV4TlT3AlbmZWxs4oK2YpW0is5cuao+wYpTZRp7vrdbmSq9aoiLpa5WK0toaW9FcMnDvKjMFzVn5e8yIm5JO6tqJ3/LCo9PE6z4wVVMMtpTTg7XzYLtNNp09TtYeZTcTR9re3pLeUoy7fCMRh4xF07o1t82CRGoDRrSspeoc+GCqpKV1RadjZBHU2atIsB4G028u4g/XG5ErOWCrGML8ftKZ2n2vf/3r/+W//Jft52sf/OAHdT796U/r3FXG+fage2N4vjno3KU43AZBbrwWAUnEaQogJ1sRh1ZxtjFbJIIgCtwVmz0QZ9Yq+mkYHeMMQ0ZQ/vot+Ir5TQuQdFqyRMW6P9aqzdNDXTJYs7AsAdxbVE0H275FP+0RUWez4Yp138TN3JRzCkyroWUfaqLkPYQTZbLi10WtUy2iX5VZVPw0s66rllhxLVoRKXYgywzWTZDccmtRmDWdyFpUNTB8SjROUHEXmB0A6w2LgjT8vWO/h+18inW3QSJpKVtd+9kMVnTWnaQiUjUCIYe2pdTIHif7L4Eph1HYXDs949hMUkQEE4k4EdXAuhCZqqUxUbIEmGYRZCprAS1HEI7xdaMUAfHhKHjLuHe9chhcDswEMTs0naHpTeRKEbDuQ2OOnaPd9/3f//3veMc7LkYv2EMPPaTzhS98QeeuMu43TnZOP8gR56BzZ643T+6B+NDMwqnnOLP1WFOLIeee2RZJLr5TcDYfXnuoCEXVqQ6E9Kw4loor2qE74yp02sJrUME0DzZZaDRJFrMmHiP8JKpZr1HVN05KlDcbrn5F45u5aYDI3m6vjs0clybiQihnFTGrq1ObZMtZqyqLWQWENdJkPYREILiZiYSDtXJ1URFPh1EQa6Eq4rBdWVBxnPDr2huakmOgcsWmVpvZFKy4p7bp107agckWrYkV62WS0xJPx1oCtSyHZuoaZYYguhbOWNLbkcBxsfqZSsW6EHNVa9siRoGtA02sCE1xHCPrRuEgAuLrpMNbwM2LWJHlyNxsI1tX92SNHM+uWGcpNHaOtv3vTL7tbW/Tefrpp3XuKuN+A+tx9CsQt2tuG06ndzI3PBFuIWi5t8nSyS0UflOmlk7iiTS0ruVqAyuGk/TmMAvNRaUuWTpgvff0FcyDALSWIqlYg/gRWRG+zx1oSTxeHbIk6rQn1CaaeNBwvWp109J/y/XSmAjfIEM5Wd3qQIAZWaXMykrXkwBm80FzdbIVRNrCSVEZBZXb1QHxawQCavDTg45Sm1M4TtVydW8jvipUNAhHJmptOWLEGVY+vlukYPVFmWkJgl1VtfBrh3uyUagYNYyzUavUhdQGbKn6m6dRNAh6y9TIldA+9SnBclLFNWalbAXBrNpI5YPZrrpvTK1XLT20XP316hAhVx1oVaHiuhvRr9cX2ajtYf28fM8H0bGWHdbOcVJls43ktj1pkeNZMXXRrLMEx87Rtt+T8nr0Mvxy0i2Yp7AeTW6D3Cqip5PTH0cyDgSOrzeGNwzmLU0Q8aqcO6pFQqO0EW9Cni+Kx4FgrWCmItIcO5GD75QdSqj3nn5NWTEVK5qVBTa0bZxNnU1BMI4iWPpsCKddsorRZ2gnddNSpSFkF4W/KjhL6TjZ9k0pnarTssBsfq5yRHSIuxW2jVNPmpy2mZEK5nLnAqV6i2xyFCGo08qtiRWdxVeBXFB+XZoOHDcnfErsnduqnJb2ehNTjqHrMkJWaJawOlg3k0irkiWsUzhZVIIMFUwkOvH34qf4FSnBQmwAdBtFGmOx7kPbnKrQpsSaooL67QaUo1/3JA5T9Vob31vLHpKLApcsaumtYT05ez6IiMp0yHqZrcNKWNtglv7bPtwaZqMsR8SdYXbsHO2Sf4/7Lv88KYePx4e3CueSIbdEboPmMJv7KiI6TiEuv2F7BIQWx9Io56lklXonpz2Hq0gcaemNSAibd6bMlF7RimkDqVWnfnNWn8hJBJtgVlSD+HbLbJpvG8hUUw6SjhPNbKCR9VqjnETEwcqPgrN1S91MnE3BpGc2WTpBaHSlTk0PWQKIub0I0lUrIdYDI6JTL9NVca2SCEgkC6nXqPrSTFz3IU58+e5n4wSjbycHvdVOqpTizKZKRdPbZkbcSLolkqvvlJqKJwhu3hfrJVvj1DKR3oxbMScnEThZFKhCvaDECSJycK1BOG6FC1n97CSR2jZtEEQQRIdgZEPDz+4lpa4LQpNdEZoKUUME3Oz2FKQBpHDQtP9WKE+PijR8MHtVRA2HNhQEMXdGf+zs7L43vvGNF+5p9sgjj9xb7OV/kXrDa1/JQaynsN4q3Gw6xD24kKtDPGQj3lrRSWJDD3oipoCJeI8psndvpz3xQA0C93l6yyrwMfQTh4njVkR5baBGaMNcNYOUg6Bmffi2D7crui1oMkwVfDXtKvucQplKSm2SuMNjzGbWi47CyhSzxrrbaQ9C1tIWZXr6T3pypYH2X/tpBIbg2ptYt6JGSKlFV7RK9rbiqrnWwleHzpNVrx1OyOGkgdSKLx/myglmP6m1ebREitrJZjkizCriMFtRF1ixxuFDBvFz1erU5kmouFbZq4uCUzhG6jlxKpFsHXE3oa5LDrguue4eHCLZJbD5pJhoRE2rM0RWjkE7TGkQDk5SFNdPUKfmVt8GzALTLYlZkb1hicipqzaSBpxtEWgWXdFyMo1AvmU/qxbThk/RsXO0q/1/cB988MEnnnjixo0bz9209773vdeuXXvyyScvpl8W+9Kz3+Qg5hSCudkwTqRD7hNnQ47DmZbDQ3DVSSJYT/+K66wNgPWpBKYimCBIZFNHPpwE07xxhymE+TDFMcvnex4WidQ26jbag2SYYJhgywWrsukMKzPK4FpI3xRm1yYZGjzGtJSIzW/yYaZ0GmAq7WUqs6QcpIPJlbb2LyFStlcf4hVzbDwApGzuJ1i3MW3UYPwoBK1OrVSpq9BJJE7IcloDLQInzMpZ0U5qexVtNeS1aHBtuC5870ZQHFlna+lWl2GmKq5V1ouY6iHjG4lUsozgUxc0jrkuI5WTJTuVWiAcKtY3pwNEJw2DKGQnDdaVVpo+IvaQOH5mzc3+RDMXVLIV3W3j6WGNrA4IzQbctxaxaLYo6424cZzWcJjU2uMQib5OhhEfO1O75D2p/n6Sb0if+tSnEvyVX/kV8Bd+4Rccvjzm50k5hSCH2Luds5gbJnc1Z5opMPzcQgydChLkTkDBIX5KGKml1weHCrUNUc0MUasE+6ltpENQ8TqbeHzvVUxlnFYXQsoFa+euhcTGaa0Go0xK0h36zI1ymg+TWSO5cK1tcS2918webirUnUzd1qdXGacm6td0MGuEkC85FSXgW0i14/OwElSopduZsUo9kPFRaC3lYsUxBWyCNeKFg8yQKYfOul010jZWJFj5RtSsWHeDfYgIEVed9IrpMxH465KdxSEO1s7rLmVKfta+XqmK7apl2OLisZTV7QTMuoxUDnHXTpDmU0v9LOEAYaqfx44K+CHUzdlE1fCTvmJ6g2Z7RFLCOEN2e72ap0QQqeWsUiPiel2yk2ljj6nmJidTiYSguNs7do52yXtS/bHar//6rz/00EP1HxHghen973//xz72sZfzp2/t8yQinr9654AczXA2kT/rDU8W9wwOHA69DsxUrKUr5ubxlgiqVm9mEBGDtURDpepsLWFcH012AETQrwf6zKZuffSgY1BBsRZ1VqytGmkrwm/pdQMzBYYZR3F0vILRVIEgnOPIZmOJrM23y+d2wUlQvjSyHG4y6+qIewngVKQlCDlaBFFTs9LSJ+TEw7QQ/sFPPzeRLHtQM/tjz2B1TpFSxyEpCOpkV+Xj1O3KRoWmw2zbNDtcr7IiOqbv9RlUwd0jwtDcNEMQ/XQCM/tTp0xMnN7iK549MVKXYwObcTC36iamMfzsM0hFnCjU+M0W/vAx6DaGENrq15WC5Lo0HCJKrR2K2TTV8DdpwWxIlk8Wznp/rVibX3Gzz73O04aR7Hau7x4TPOBkUYlkG9Pk2DnaqT93u379Ou9D73nPey7GL5ifLfmPd79slgMKMvT8rXcRkZzXFUnnJlfH02wW94yceo/VrKQYVGS9z+0HtdYSuNZKJ0GlaryWMF7LnY5pCUdZhrZhe5VMcM3SkZyeCYagWh4oYpg1ok+Wua0EU20b18iBA3mN2EN6NoimnVSaO8OQ3V6ZaCpCxNmKaRJm0utUjShbnTprIabczxwJmHai/hpPenPChKNDJP6KCJrY0tcvGOpYHaaa6xcP+XKqcjpkyn0gYla9GaliMJ2s6BQKVE9F0M3EUR8RhnaS6nXKRAm11b2GV4541VkF9dMz6HLsx8bq/mSqitS9yrWovgTMoc1k52tXtc/QapPwG6Gmb2IdpodNrM2vWEtfFa37YhT2MNvo/uOMnaNtvyflJ2txrt209Z+dlPAy/zZ3vQMZeqvkqc2sdw5ntJ3adutC8FvP+jBFpGWJa26cfBcLxx6It8eQ2L604Dc1MIVaXCQlS6vlFDxGyPIzVBYn+xAyN3Ylgy4hEcl2u8qqeYD5dMQGSEdqrbVu4xpZsw4i7lt6FrOf0ggyzK5SsTHtWafORgGaEYb1a7xq8YM5GOtsColpAMfds4E1HpG0ZyRMlUE7rJ9X1aujfl2a6Q3VAfXXzkF3Pnzbq5hWsw9NAawrTbwq16lE5CCeRdUOLWoba+nNVsW1YTD3TjDXN9sYTppJRE6ODcF0IkKow4qQq1TdK6/sihBIoZZO25naLS2lfwSJUKI2CVZyS4e8ooSgRYOUOzGCWnRSDkKLpP+KTDWF24Uq04YXguHYOdqp/weZ69evv/Wtb33sscceffTRi9BNe+SRR5544olPfepT6z/qfbrde5X/kc0fPPP1G898gxPPseMgevi8H4JEdCptRe4Zjq+cKnKctaIVsUipXFtqCIHnEX6tRZCHS4YtGAf9JEaTB4GCa4kaaV0pYjzNZxa/ksFVE6yrPnFRbYHpaq14VVw7rJG9um2KNtoQk9amxFouKWvuimu362ykVoSmvik5EhyGelQipU9wUySHwdxVB6yF1n6kkeXGRmplhn+8A3uJFWHu9bM5RbCuyyBttFsjnEzVVo/bBrNXB1OnOGKaqQvZQ3KrQk4Fkbaoug/rDtStg3DgYPBRiwKRdO5GGTneN2bTng5x2zglQono7zVQHSs6W5uv8Vvwa4Ra7pL4Z978OiIn2pW+LI69pHbqz938POlXf/VXL8YvWD5wetnsS89+E8z3QxxKTiTnkoN4c/6PfI/i7eS91BAmtxmoLz9ZctbcNWJFbjMc+1E5aqCz0NIqt1CrBXKjNvEaxHHVJuqjKUYw5eiBrBZxmCDKxkH9kOs2BmsVsSY6q2zrv+5b9UmsXWU5t4yuZTOy1gWdSrdi6xZO1sswZy+oOE4U4tTcbCxkI2yOEZjZhKD72ZqJbwq5ktEhqFr23CFYtwVyRAzamMGcNyIeOf0UApMu2pXKzOaCRmoT5efMWKLimtKWbwRyC7aplkUwjfHHK5iexXDqVD38zDLVGq4oLeuiUPQb5zgippn17DV01ZHCN1EpdODQDGupsjDxUx1sd/GeY676aupHKgfPSN3DFe0HZZ16cTO1FwFRiH46WSO1YmbbAUBcMvpyvJTQiBxzagQnH826nLFztFPfk27ctLe85S0X4xfMn7jl/wf3Mph/3w2HY+eh91b0VqnPRHxOKueVIUxmSSRCClNyCBIx3Vyz4EBQOVmbEXW8Z4hbiIjxzDZHtLQprkXZinUWx0Sa1G9PSTFVGLqoVlf0ToYTpvFGVqFGapzEiBhXtvWPpkOy3EOsJVbZ1T89shd3XfZjBEeazaRnO5SZ0xWRkMnFT9xr5FQ9ITW3OaSngb2FQE5vbW9JyUU3iK+aZBTa2ZBAYt2HuijjrgVHH0w/5Ka6U3ZYOSKRcOqtZ6T2lg1hNulrSr0uiVRCUkCWb7BuIEgQpARkUyxXkaC565TIVG1VXCNZ12aVlb83SzmaB9sy68Jh4rTj6qqNgFqawa+ztWJOmiXUAU3BsQdzTal4+tKqH3EX5cWtkdpJi+CvR/2WUU1aiuOG1MiJHK8I26Uzdo526nvSww8/zMvQJz7xiYvxC8Z70rve9a6LwctiX3r2mz4BeQZxEHP7MUUwtzcYAlM6RhjmDnQKxDdXDndvy9rUafdtmPwxzu2x0ozsPSz2IiBq6rgDGVZEvMa9OWsDQWWZDTOzaRKMAi1JcFHEUcCx2/AhtM6ddVg3k+eRThWHYIQpr0j28JTIpo4RhtCoblw0HT/drshsLaEIU16FiNcsqrO6NBNM3USyvXZivC6nKQeJ55Lhw/Qpr4h7i6NIlcXxKuCnH5AIzKpPPDumbHLh6Nih5Voh0hu5OukNJmZi3YQ1ZQ+PmYjjrEvz8olG0n9tMv3Ui0JkvS/IahFQ8VypinWxx7MopHmwrVd9EGsXAkeCUjQD1mOjDg5TteJaK8wWN7cuGTxlae4nzSCSWc/wLSAN4LQ2roq5xK4XNR2wOZna5BBskVypsXO0U9+TsPe///2f+9znPv3pT1+MX/hLcD/xEz/xcv707Q2vfaWHDx/Hx5DoiQwS8QYIx5sBP3fXXoQ7uWUd64BrRSLcHrWlik7JxDeRG8xInsIV6WpVwMltCSY3kYqVyUPBVTTOyhRTLg65irTGsoqsZXMPfSqtmpbenLo0sqkTx52RUJFg23/XRQSCnFoi5HZsggSxzQthMzWyYq3V+kmHlc8QJhhx+NKaGk66ddYpI/XLW82tPROXo74XF4eKWW8qNjKoOOju2XZaNau2lFwsiUayJ6t4RWftTb8up+LaNujQVhttzdokVNwrvRcXN1eU9eLDAdkQ47kf6SSEtUQ2sAZFUlotce0BrJuz4im7LQds5cA0uYdm+cR24fRjVw03/6ZCxbRkUdSIWyVOm6qctOq214hrGTtTu8J70k/91E9du3btx3/8x/O32374h3/4oYcear/Z/TIYhw/k5HH+csS5WwziEOd0QvMmbDcDd0II3lRJgXBwmzWshYh4P1SOEe+QYMvy6aBDaW4wnSCzNWJuUNl8DYgUWGlB7ur41jKF3IjbGJotAidS1gURRCSa4rqKFS1RpaKQ5SSyck6JRMdV41tdQhZFBN+pdJ7NWZXVAdXHmPIyiUZAfZsJ1kuwYttqRVpj9ewFTcmSw69q0ihBXBFnQWblg1lFUmrP2avgccVGTkp2DyOSZrI025DvrMO2FcRPRxJRXi8BU1jabmu0OlMQKi24xhNpmAuUZXrFiVOoRioHx/43v7qDFlXcniPFUMK6aiJuSA0G1yqbSC0cCtX0LIFZ666LAt0TUE6uLAhNfzO4R1BtrUUEQt2BdTdIySqiSdBaOrVcIgdTRNwohpYYO0e78m/UP/jggzdu3NB/73vf+/GPf1z/xdhV/77bZ3/3y55CjjUHEeQBYYRT7jHV4VbxgIKcdWk4ZIUZIxKOKcdYC+G0ZmoVlbkzU9F4ba8pOxVns/lNXHs7wJCN0Hya3IusuDmVfVhXl7WQWLOyRava5uwpkYqUq21k2OIrrlLG7T9bVK8mU3WZx401hF+H6yFJ8Fg5J2c9MFWtipgSh6maJRKs6VU/6SFXZsVwTGnB7ECd3RSBecypuLkVYptqaxTXrIrZw83IOgtmmXHW2y1OXSZq9WmQrJWZheCEUFH9tdVaYu9GFkPYVD52Vty7mpe2kVzE8ddadTYVXWwilbPXyVURKS6Qp2v+vtuZ2hU+T9KeeuopLp52W16SbsE8fDgccU4zR5AIQ3yRE8kZlcmdID807jcJoOSkyIHcMCLV5/RXHXIRjwKOs9AY0qotYcmKZkX04VRHNRyGtfmGzML0OzwitITCHtmu0KxxxBHJbmxGVqyFkJVvw9mr6jOVb0NhBlNrE9fZUyIVaa+2ka6YyjfHK0Kr63XfiJuIcq6ssiA+kZwEhjQWnWwRCi0i1nJEbDLiCtYqZkWtJoKUblWiExGXAKHqZ4FNGULdouiDRrIQS7TmjaSlBGuis/gtMUzQdHyL7v1IJT65Pi4YBtNJmyKylssyN9E9XCM2WQ8AQ4xCIad0RBIJJ/2A7WkASvaSVSZ/3AdFwBwD0WBtXj+n17sV8rqrEOTrmB5cl7BGGqqZ5iumn4Y5XeTWlbZaUTaY615vHzmgCimxYoqeEkEq9wjiY+dod8Ub6619nsRB5JRz/jiLHHQizHouRYYcTeIVmSIezorSEOdwV2eVimDLrWhLtb34K/kUVIRaNMYTqlZ3QyDwKMzOMNwkO+Vsix9g1WmakYrjStcl1D7XrsDNbg9mrxTZ62oPSfQAPL9ZNzdfZz1yRnCyLiMouF5M5oED1uaJH7cELeWqiPEcAzGE2lglrJtjVlVO9bauxEOjq4isymS1uJEUYlj5FUODwzIvvUPDaSVUqMNglqNIEl1XYx5HUiJXKk5S9rBu44rrcnJlcy0OjgG4Nh9UCmdzh42beyx4HGk+rbYl1KIJtlkTaUNLoYor06msInUZNv0Xg6lIufk86Uztyp8n3Q3mdzOcY08/PseRg47DWQ96TIlX5K4wqyJBszjT0jjZzdnEZOGAfkMThOOUTMvh46QQWP1jjAjovWd1I9zeDPGzM6BbQaSRnYp/IlICdLvQpKvMWiia+Da87knt0xQxva1LywUy/ZYjDDc3tmK7HDkA5KKQlRJMJMogs7UW6DKTCJqyGQFN12/NiLZEorRsYxUxrs9sJeCnsZqSeL1YOFilZUPo0/7Z53RVL6INm1g/jRBTURqJDLMhEoyHE2b6gZl+NlFZOC6HP+bmbESqBqFVWZtxlk1rIscRMIvKlYVg5FJUyoWkH5FZ1YJEnE3z1nJ2c8n1sDErwU2zBMN1h40n11ZBZqvgWmKN6JOOuS1W2bysCbar4xppwDXWE6I4EU+dJSTjZBX4Cjpcq6/7f0rEinSVTl4Gu379+pNPPln/xtXYi7Sz/Dzp6We+xDnG5/BxHD2CHlNOuZH43AlMSRAbQZGorfyIc+Krs2a19DaETC6dp+Jm1jEqYuepHucUrOS6CdXfiwQjwiNgL8tFMTzYt4oEE7+9DqWz7TTc+jnecLEqKGgu+nsRq2Pxk16RxL1NFvfOxl7iZrxeps1WxVorNIeQVcapbbRhghbNprXDYMVWIm04ZcMtcWW2Bhoz/Fx3fFK0iAQTrOek3rOZtb1EDpwDzDKb33DvDFCiMhkec2pLm+VCsGLi6+WrUqKCKYqtJQ7WGMG9xa4YMrnRSecK1q7CSa2KtS4EnbrkdRNOiaQiZ+Z7v/tBnBPtlj9Peve73/3JT37y2rVrTz311EVo7MXZWX6exBEEOX8cZRwOJScS3/vBePz6LazfU1YCZ5c4hztqHm7PenyQZ2V1NrNa+jq0c4xcStesVq5F9GGmc0ojopRtHGNbqchaDFKlbUgiqxSY0ivHCLM2Twm3nTgRpijR1OTjRDZTtyVC6UTadcQBjzefRC5cxMHkqoljhGE4tqG/uWSxbmA2n+rhtAMc9CxlXcHNeK3SmhepiEM8C2/7w6zKKCQOxgnKoVY2TWVm1czqPBLJNZgpfaYcZu2NmYbF2rZIFgvMBXLJe1ckGxJ+vfSZTXuJrJxEDrBeF/31DDDMWupiiVe+w01OKqY3MOcEpoTsCXF1WgPsiftPZO2T2VoUTInKaZHoOATTfF1I9RMh0X74U9OVNZKuwslURaSqfhyPAU4IJ0baQWWBzL489sY3vhG8//7nt3rstthZfp70pWe/yRHkuPNk8XRinEXPJfePcX2OLEzuWE4wQx34EkyvuRI43JdiFMAaPxCxbipy81T+QSRO7dyGs9i9SLCtVFrdxkqDwNat/ERWrBxEshvoZBWSjzvJVCM0//RIxTRWkam28222Noxf+dYi2C5Qa0OF495Cq856enHY0hBuAevq0MGI23+dqljTayd1uyKiYC26iq9FXVfNutna7j44uyneGpMG5oylT5h7V2RvLZu46pwS2UQqNqcuMEPUPAahreQTu8q2b1YkGLXcy21jzco1Mp4SlbPn2JiyIlNZabv0IaSiOlqT3TwJqcgQn4iExr81tITNW9GWvu+7X8/wRHuRnyc99NBD169fvwiNvTg7y8+TMI6gNxXnDx/E555hilPuuSQCh1nubc8uTr4fIi7KFGUSh3aMinBTiWSJVtFpCNMmrcWw8fciVsGJAg6dQ8gmJF6XH6ZYV5pE+G1WPvHKpyVpNFPj4lra3UhidgxrnUS5rqVija+cUyIVc5mC2V6G2fmgvdWdRIShU9k9kIhSDMltbcgJP9u4d40SSUs6EdGaFLQIJr6igmmYCKj43mmv6a2lKpUL3RoITYRA3G1MpB05Iq4FW/fBKtIYUitSlQNKQxMRL4opxmHirNslxyrMXor1JLRIlNdamxcrIolkLaCbFn0sNJBhyPin9MCetIqKiEjBjBqEejasm/Rse8SJO+WwklsE8awRRIGgw8jGARUxog/WA6M+q0vDatYpGwBdYytRMYRLI5YAjWQovgzm50lf/erzpcdui53l50n+fhLnm9PZkBPvSY2DMcUZZYjDjcQN6VRN5EBz24RpOkHJDiseTG3SUKai5XROVKhorqZC2wfjOCzT5YTpsJI3cWUmEvFNzTZbHZqhTzd2s5N0m+ApDR+0ehAB6yU+2Oo0TPOsxeVEMCcqykmE6ZIztdmGgtXZw9oww+db+aMlopCu5GDEN7elnj1oLZJhdSwHOYXaXuHQlXxpaaCKp2jTMZImM9uGTWRTvCKEdfPr7uX4pdt6ibPwTZ0TMd2e4mBmWdH4itJsEj/t5RLUBkA4e06wrX0typRbR67WFNYOs71rlZYL7tVdsaVYS9+ptpbGfDGlj3Gt6y4Rf3l+P+kHfuAHPvGJT8znSbfRzvX3kzh2HEqR+5Agh5IT6bnkROaAQgAZyuEO12+JnGwjJoqSo1Z9p8LcQ2h+H0OrFLKcbVPxILcWTYR0jCajEE0x28IW1Yiry+wBrsxEWpXGbLNpEvR6sYSWlf3fKxqCG1gj7EnjnBJxDze3t2JooDuJ1cYYSk5X+H7bShWQ674up0ZAmWCLN0wt+4HvctBsCmHiYNCMr9Xr6YXZImCGHmCclIOMcsh1ryCYaDCNNXHJxE3MtTCFYVtOGwYVobF8YLAizM3Nr8+QzZuFiCXC3NQ5QHIxZNPzpQ58E8kCKW08WxSU6YXQZ5NNzCVobaQ3xWsk6Brr9W0IzQ0hPQcMR8HQ3HmD677t7WSWs3kpK7ZDAsa3SYb1OsLPLE52IDrgWmj9S5rHiH6ra7m0+vLYa17z/F+2mM+TbqOd5edJ/n4Shy9IXIej7+nU4Tbg1DLkDuTxUTmk1MSmwLEObgaPkbo8TXBUTleWSMWryla0/whmpbXEJq7MvdzTmZuz2dLN4UFwk3C7nFyLUzYfWs1CxAiOhCyZyN4ZM3KAdd9Wv9a6VH9dVOPUhiUf5IqSseNCbcqspMiheu6LVSdBE0NOz+xwIvX+wtZ+GiediETqcBPVbMw0c4pPwzpK1Zb2ImtjxtcUmWCq4NcU94FgHKz2Ka6RpFy6kxnqhNmaTMql1WvnEanNVES8Fmr8lF4TUw4OZhut8zDXU4fDnbh5GpVd12IzL8/vJ7XPk568af/u3/27P/tn/+x7b5q0sdPtLD9P4lx6+jmpDDmODvE9rDi84ONwBxJnlnNcOaBxcqsCqEKQWpE9Hf2WTuWkp9saRz+J1T9Gcu02mJUeoA2wFYgcR2iPyKq5Ruqi0IkPNlodBkMW965sZb7ICLuns/dNYbDuiTuf9vC9Clky8Zyx8J1aF5WIWHeVkyMn+++psJYcfCPJElM3KCd1o8kQk7bmWjE+BBeYQmAIlaYyQ5CUul6Z3heNrIJM0dncRNlkI1WHOLbZPJxcRHtQ1q5cxQFGE3JNR9YIU26mgjS5crLbackOW8QqOGAELRpm+qkpcKhYD2EtB6IQhziz9bCJdRWISItCrQinJoLyUzpMHaWcyi4xuxdhSBattro1GFQ8nMZ3lhIM17ubht2QrKh1HhGYdcoTxY6tcQSVCqaitdyrl8H8POmLX/wi+IEPfOB973vfz/3cz33sYx8D8R955JH8H1rHTrSz/DzpxjPfwOEgckbjgPgcUM4u55Kzy7n0rDsrMsWd6flOMMht46w6FZN4ipMU7ihk7cRg+km3p+tXfnRSJQtZI0GydFipnL0IIuxhzd3DKBxjpZ3S4Sp7kLU5u8nP6g72tl0RUtrO16mmL3rFobGHcLBavTorrpdmPclwNq9OPWnplvhadz2Ta66YLJZjY5u3SWgO1dwsVwmRcq8kB6PcIqeggnXr0oxOlhPxFjE3w6SvF+jAAfGPW60IuabvXRRR/Yoksop6dSKyktt6a89NpKIdhtkwterOOxX91cmWrutNJ5lNRPGaUskp0Qg5ZsblENksWkvIrLdejevLZ3ZtG+fl/Dzp2rVrDz/88Cc/+Uki73//+7/whS88+eSTEh599NHHHntMf+wUO8vPkzipHmuQI0hE9IjjcEBBfWlBjrhHlimOcp0iktkVM3WpY2kEufOVdRakIsParfEDNZ18ayJGh1mrsCd7kbpMS4NyDiLsYbI21RK5lFBp4ikdVn7NWuN7s2uEijptk2nAYfXDMQ66/0nXr/oicWc9h1hmN1fX9sGscPBTK0yWFqnsXpj1tFgl5Mp0pXKMZKVBs6ybxrIzjQaiSV2CRiwH1pYqITu5njc4YUrOpbkUFQTxyTI9+raa5WQDaSYRcx2KSW8XKIKbEZBIa09cl9NaxScItt0TSZGWUwEybFenkStmvWKbqiJBS6xSIrMyaWklr4USya3ayoHpJOJGFLdQI7uNGMqVQCTHDN+IPbRrsZaQSe6egonoOFs7ccrL9DKYnyfduHGDlyTekHjZ+uhHP/rxj3/8s5/9rIRf+IVf+MpXvqI/doqd5XsSRzAH2rNYfc4oTj3KlUyEOLPenAR97jz4huefI554kWMtM3ynLo3gg2tF0MeBQZBuT5FliOmbYufq6GRP1kjbrlvDVa3JXkqol+mqzOPIKXwxhbKf7jZxh2Ae2euF4EjUdLDpZ5YG4quT2bW3vX0QPYcqbBISDDNHl1rti6tYV6qyS7PVpGe21c2GoG+KcRyYKlR+aEFzTUmVmhIdyQmmsYYpYfMKKl5v803MXakaDhHV9jbwSojgugOg71t1t20Vvpi11KW5WIfZFp26pdkZmSpEOcxariJT6bl2uIrUrBR1aRCOd6Yh/Nq5mB1rESu2I+GUrzKNgHhtFRpxUN+GWy1n3d51sbk6KlhFnURykEB8nJfB8hvcH/rQh3hD0scefvjhRx99FIdXqH//7/+9wbFT7Czfk7wfOLieZs4xQSIcX3zPsceaOAQOdAj4Epwl6Czn22AwUsH1VjnAtAe2WaZsbC2xYpo0QoqPFYJiqpwSeTF4oH9cNztssO7Mmgv6dWuN1OtYI147mXuRtVDdZ6bqcA/ZfNPDz1pSxQgNVCZoUXBdHbi2F/SQeGYaIUUr0z5bwy2LqfrFCcer09JBgiamQyOV2S4omOWLoSkIEnQfUlTxJpVODIYMqqafTnRcmiIEcVhyZINwMKpEpDnMtoWcjvXUMUx74Np5rgXDKlKzwsRh61AWrSI/RytZzqpjJ40Zhex8Ok/11mGYxFtuW5odZnbFuku1YsMmayQ66S0IISUcklW3i3Tj4J4ISBYOfAjeIFFgqu1qzV0jtoTzMpifJ127du0jH/mIkdjb3/52nfkVpSvZuf4eN8eOY+o9k4iznlGPNQSOaWUa5/701DYdc8XcEsF2qxyjTyJkEa+yIFObFTcRjk0aYYi5LpzT8ap/x/U2YraCoWtx+RXXR+Ear1fqFiJVyo3NxWJjmXXo2diMOFTciEeiVokjMotOjVSsLe3FrVX3MBu71qp9Zl0h6JPFbBYVkZZe75GaHl99OO36SqiosjT8dQodh3srsnSGUdMH65JriSZbl8ACdSKbPTEChtzWHn9vtlVMCbB1TlEbxnEVkQqnMhtnE+VT2ojVzVqbF9Pweh5w6s7kzINrrjSRYD2lB7skJpHZXNBUXCOIk5jekls1M1uD1FWHYRNJaXdbgrUqwpQGf1UwUhsmSF2cl8H8POlNb3qTw2pvectbdH7rt35LZ+wUO+Ofu+Wkgj56PNm5GZwCiUOGkFkUdOQ4Cy25HuvVr7jGN5lVNlj72aulD6d27qqzotOxPZ1fBvRy0G1W7VqY9bpUzKOQVdd04q66Jd5CJCXq9qa3HIkDRyQRnUTw9+qK1K2Rui17F6XG11pRWI9Be5q3EvHJdVHqOItaCoEhOIVTr0XbE1GyhIah5fqKpBC0DXFNxLHz1mGwXUp0TLftKhsdgrku+Ca6KK+ve8jsZiLkWoJI1oUIkVYRv3YYNJdZ+LW6u0GikTBBfTU30V2S3yL49oOPUSVtgxZN5/hmtd5qA5spWZqzVHc2W1H9KIBETN88XaBbkYjpSLUDTzDrUiolQDg4CXoFUxGn6qR5UbL6KnhRsCiYCJ9hGna9Ml9qm38/6bbbuf4eN9juGZCTygGV4KEkCOb5Yty7i4hY03EMmiKfI554FIhUzl6ELO8QhjTc6kY/hFYXrEw4IEOncJitHxTt+RVP4d8W3/20SZt3WHHzIjaH9EpYU06JVGzbLubSHERErlGNwNmsstdD1kUbNb7HTy0IRtYtMhe055wWHaYIenVEI6151MwSlVK5XgsjpocsOiWzNoYfGtteCXZY22gilZwO4dSVbl5K+fGbTh22RK8vzrqcdR8SWadqIpHNznHCwSdSb22nfCZUjlNrFZFOmvIawW/9i1XTbTELxKc3m1/JNaUl2n9jVqw6+JSIjkPSNy90Ep0lAhOHYLZRMvGcfyJqms4O1IrEMQnO1lYzrFsqPwpZCMM0zNAGXgbzDcm3pT174IEHLryxE+ws35O8Xds9AzLlgeYQ6/DHIAjBOH7uGQic4KRzv5nYdBRJhJQrRWrcIVPpZyW0+GYEhxI4dR/2/Iqn8F+8z06yRiPuKkOfPmD2nHUZYSFGwNDWCOhj96qRIIXaZgbpajO+h/KRtcmGdU8apkkj7hVDZGtEGkOrhB8F0Ii11vMTJxuuMg7Ymk+k3h1ZRSomonLFeulhJqKyNKdCsEOGaoLRV0pHjM66QLBdPobyq3gwPThbE01hqnZCxGAUcsZWzZoorg2vC8dPAzbvFMNw2JBktd3OJVYn6YmgXJlr/2DtPPuZnbQ3s8AoBMmCsCY6tbZqpJ78ekHBdd+CJiqYWYY6YfLHk8yU/YD1bCdFTRcSNYa11QzDyRpVyNJoKfcRSKsqvAx2/Iak1d9Pun79+r333vvhD3/4Yjy22Bn/fpLnsqIHFPSse6b1JeB4xA1ycHG4WzLrjUd81akRaFeK1LjiOOmnEcA1EWTVjUDnRrIDK9a92tu3lwJ5TKQ3fIK1uhEcCMZxarp43PA6exxJoVxf4tlS0KtfIxXXLFZBBKcVWvF4dt2NRJJY+XtIeg4MPug5AV0anCjXc9giWa9OCBUb0yogU375wUkkbYAKtmuxVyXditFZFwjWr/FgbsBasarVCH5dy9oP8Tq8KiJoV63zWigc0IcSX2JprOq4IWukOui0rCgTR7Ptqlh3Q4RmVnuUoVbfAMR8ikxu7qM8oAjWuns966QQ2LartQE/6cZzFGsEH0s/oEMwpR22HtwuhrV5MYXa5ngIITBUEyNFBYcvtd3CT9xe/epX33//y9TeOdr5vSf9yTdeHFnPpbeBJ9IDut7wREKuU+h4YzuLQuKVBq6aV8UoKG631M19eIDwIXMHbhLQrAskyG4k4s1JBJr38MpJBA7+bUEEXS9V8CnEAyWzDNOA8RqhJfG44SQeR5KVrcj1ZYgDwWHDFk8Wyjqks//QNkvXhlM6kYZMSXDJiSBrfDNrxc0TItpwpLKc2iSRrJphzaoYTph1GCe0ykfBWkqZa3DdN7CWJgK5Vb8U4ZN76dmQH2clp6Vbw+OLYpPp2SDIecgO2BJOUw4hkdatJxaOx6mmBJ3Cz54wTD8VQ6hYb9U1y3itm9xEcvJbOuVaRCQr1VM0ly+RbGAS6ywOs8myB2fBbCM+lp7BpOyhDlnos3yybONlMD9P8t/jPsXue9X9r3/967/2tYtljq12rr+flKPPeW0HNDd80IjkHHSQIBYpZI3X3Kqwxo8xgmCeAk5x8/uUrJyGcCRnaSFnSqsLlByHuA8anDa1SfbR8OIRKVt12PTXujaZSMXjhlviGlmncOzN/eTSQGiXjAit1ogEMJeSKSLSLi3dIjL1T8GVvxlpqxCNu6h8hc5s7Z9IVqeOgq2Qq0gVCJQADeqA0nTSiQqm6BDRz+bEEZ1NpFXH31x10OtLboquhZiSr5TbBZmNas2ItaUT/c0mGUqgSiXgEASdFUNesdZa0SXoN80Vs960yrD2lv1ci5ILrS5QrHf9McJHIVcB9Hy23aN0zUqhJCYigaDDRgPrbCU7ZYS6IbeK4np9dUzJljJ8Gezg77vF6u8nffsbX/vyl798zP9jbmf5nsSxq9+K1SNLJEe5IvE2ay6nObPIZlY8fvqssy2yCoqU8+bH5NTE+FkmTcKk2wjGcWpzN7xvwXzlS2TlGMFPGy8S3dgMq74VWyd5GhrJkhvt0sTNSLLcCny7yja2CJdg5TSEYCEjONGvFdcejMhsyzzALIreVKCxNWIzrWeHklMxs07ZZI3AiU4rBGbWKZYDEqdPZyvCkeksCvi5Fs3HSKFP6optr9S0+t6VIh7fLFGpdKWa4jK5lYLuOSYnTKcQN0JdIkil1ZtJz3OOL40cCfiNQKS2V8krZl2bSDrOumSHaZJhJdjJusNyQPenKbiTLrBiY0IjXnvAAcOvfjCbw3rJwjELp/5VkmDKMWya+sTrbCPDrFvBMBxFgiE0Bz5qtBrll8Gu+vtJ2Otf//rTP3/6Y2jn+nmSWA9rzj0O51ICR7MefVOclc9pziwoPwrOqrDi+mxqkdZGZG0Yh+GaGN9lwiGSFKfUcUoRq8hpD4vT0QZuC/oMzdrpP/p71Su6CS4HdPmiF65GroppMtvYIvULUjgNlcKRtldr7bZGOGCnk8WkpIcaqT1n82vDIWcWZJYI8azFuhF02Lp1NrmbGB0cIvUqS8CxPX26Mk4t4h5vZzerhwC6Fvuvx8/0mrsi4jJVSxuJVGam6up0MrWS7S36rbFG2CsqWm719yItvQXXFTl0P9cdro2tCtl5Ii7TK8IfrnstiiDi69Cs+ImgUwU9RVYkonIILKTqQ1PT2fjEmU1FkGEILjzpxF1dUmSCMsEWkU+raeNlsFN+P6m9S83nScd2lu9JnuCc43oi8blhOJGcS5w8lxmG42y9T0B8jn4SdZy96lOpRWo/Ot5LKbeJrVtTMlwx4lTPvXoi0gnKbN26lheJdqU4iH6uxWaf6SQKDBvHC7fmno7Ibn73eTrW5g26wBVzLPci6rhwpuhtL8IQSwq4irTNr203cg6MFyjpctrdkZ5TuvITWTEXCwUQBbaOFHIlNBFp+ESIZy1r9UYIqu8wxy9Ze2gKufJbG02BTohkl4is+xNOIrYkemlw+CMh+5BL5kJWHbDeAkhJyJmss8iu6cFVPAsBidSeg06Zgo9FAV8aPRDM/uPbiUUh4LsDNVFmzao6kOsUqKZTKlfmqs+wIXFmkyV6DHC8Fi29puDneu0hWfSZNl4G++mf/unHHnsMvBgXe8c73vEzP/Mzjz766A/90A9dhF74/aT5POnAbvH/SHx77ar/Y+Tf+K0bnlGOIOevokFuGI81B5Q7H5+jz8mWllnIHt+oOWWkYs3SQVDlNbKmr1jLJbE6a7cMTywB2aXB50Fj7gFClo9/0NLpztoS+imUi2Jks5OqebCEdbZG9nzwFi7ZiujQLcvJxVoLXRoPunAcBGWukThruui6bC+rw6HDqAXrWphNun4VrJGKxNeWLl2pmm24liBSl8OwKjOs/R9jyxUP1BiG4x4mcgqutdaWiLN1VbwuttZd1RrCac7mLLhKXSpeu0pvOfCItwNwcHGrT5ZnMul1FsT22kjPB0FFomnPDvHrfbHqiwRtEkJSnEJwrV4JTSd1v/e7H3x+YafZVb8s3rJdv379rW99K69W/t/fxlY7y8+TPHw4nD8OH+eYE8mZJoIjwVlOuT6HWFqdJQUdXvkRUVDlFZ2CFo7KmaqRIPwWEUlJJ0SSiON3IekWtD2Hp5QgPUvjwaHIAcKHHF+d2tKVnHwX1RBxq9SLYp867i1mJ+GwFSAEMVthIrPU3YsgYhaRuhUEa+d1D9f9PJhFB8F6sUAL1XWtzRgJR4xIlrxGLr2gtb22h3JSVJorIsIUGF/yGmmYlqrs3g4wZBbkSOAkaBtJN25667Au33hdhf6KiteDoXiN4OS41mayh8kifinmeolrq8arOJjZVjcnh9nafyIp5Gzj1OB6fo5PFCL203rLLCWqAkOZdQg2n1m2CKQ90+sssk4xBFFz1jbAlgIyNGjDJjplulfE9OytPUQq+mKaVDxTkJNS96QOg7V5nLvTXvva1167dm0+Tzqws3xP4phyfDmCPNQ4oJ7IONwqOccgQePrLCnPy71ww3hrSVA/92rulhZJVo1QyCD6RhoylU6IVAWc2q09UNchs6akt5RIBKbbgk+wSm360PIQ2Wzp9AjDdfeIWCgXiCAcsAZxlFo5RppIVXM5a6Q6VSQN26HLX33X4uYboYSJYpa24kGfOG1KdLZGjrHy9d0xWwXtE5+pVK/9uLpwXK++nDWy12SVbZE6hSCogzJBm3STfVNJVt1zHIJOhUA86fFXrLfPuglGcGyJlHo74BB0mKy6CXsbUtHEdTlVXD8LkWx6nDSwOmJt5mDq9IgiNpNbg/Yy61T47qGrYOj+SwDRr+IV62zrPFVygZKieCOnYpqp/Lq3eTO2T5AenBVDgBxCVWvXqz49Eom4s3ehPfvsszdu3JjfTzqws3xP4uByXrkl8HNGQU8k8XZX5KRuzuIT8fSDEqpzgLSxRhSMs/KtvqnPvb12S9whsw4TTwkjDF0RRkq9b/GpHlnjaRLca+lEVDAKOD5feJTYAGj1WpEIcWgMvaybHJC1M4yIiUba06pGsgPJAr0KtflNzFpQwMlehVCXls6v1Gc4YGZPRPmWY5npylbjM2tK2wr8xnG9LhMaU0acBbF6irJSMb0dRLJj2Vv++NXIOJpm4UvQSVepbhw0/QARSSfreUgkLaWuU7W6WfVKkeXUui0tEh3144OqtbaTDqJGMA1sRsB2hMIBs8zIrp2vEYY0b8O2CqaEQ9cShZCNuxxT6EFaxWxXzgbYaBaFsFZP6Rq0YppxyoVIcJgURAxSIvtfEyNbl6A4aHpWfYAo3IV236vun8+Tju1c/76b59X7aj2LHNwaqed4nc25F9d7FX6CDfP0qRETc9vTrTqUk28/OLWuKKF2m1mGeQ6mYhKNRNlhdEQeHJGVSUTmWu6qaLko4GCsvTYguiHM5pEE37XQD1NwqqZZaf7FYFZtk7myWIvYj0EjubLBqpz2TuzTTq46u8ZTLktg6CnKPrcU0Uvj0pRVgTMWgrOVj7Ou9HgtK6Y3usVJCZycf1BCNt94iqpAMFK0IdlWawkcNcHaSUWY8kWDpDDMnqwIQWfdluqsRyg+cW4BmrdWJRAhXZEVT9n2lZOu1s43I7aR3TauLMPWaiLQ8NEBj/tMrRWTmGCNW6tdmmxpCEYY+vAkKLOusfZQj02Y9UYQlaqHM4m0Z7xiNvAutG9/42tf//rX59/jPrCzfE/i4Oa8MuT8cQpxOJGcUU5qnkFiXi/ENrvexi1Sy20SjtF0UujQSO7Y0Jpg1iInsyEEW2JVBrPGYG7dykQkhKg15VMiDBXEtxZVUlFkKvtJxGB0GOIwxM8Xj+SmyVvGtvPphPOTiG9vl/6FOHpTM2cvhdLwAfpsTaSpZXaN0+RmXXy3TierY1jJQe8CFgLTbclQwWyOw3opjYCRauKXYsSVVZCp2rB+Nhyyua296mQ5tYSOsipsIrPywWw7cYNZMpjNlBaRcNZIlFf0ktGktRhmikiKrpirBraWEqkHhqGciKx9tgi+zbiHEbd0ZtOqkSiIm8cjUtJWApjErG6zenRAd48pfI+Q7YH84Xhs1q1+Tos3SAo5K6pprei389Y4kb077dWvfvXP/dzP3Vvsfe9738XcGK+55/v33TjBHkSOoHGONScyzunI0Y/gHlKIOwcn/ETiHCtUpEl0uJP3Eu0t/ikdii1xXWzDlmuhOAerXiNVSnSZVIHD003fqWTJaXVxiGstfc8/PYLm2mq64jjZwx6nIlJo2uRe0T2/YUSa2hrn2ChSmfhXbRLMCZSQoSl1H4gYTPq6ltNXjZSyjUAD7L+0Wh1CbWwlRO1mmxcrbQoH3QbbklMXJ42BIcTBqlQVl3M6po0qstltRRrYc3Jg4iRxla0RFNb2stI2y5Dc9TLtIZwMT19dcK2OMeXW6YPZSRtrS4gUlh6qgpxEGqc2cIw28P1vu3az1El21S+LYy+dnfHfd/MbTQ6fQQ40JxLkBDMMckCd4hnRIiJBz7GyQSPOQuP20CGrRXDyXe8piD4OnRwkMps2GOKsvW1GIONbZW/JFauOhWpFvw06JRKRiqkLJ53ULILMKlU16ZxE+KazUWm4+lX29Eh6aAjN49Tild9yVVZWdM/RWRuAb/Ob14VhVcOvw0rIDiQCEqmN7TWZ0qJXQQ7mEMcG8LNeg2kGrBeiRg52IBF7a4n4ZBlp1WtjlaBOkKm60kzZjz0EE0lXLYVI6krG4KdcZToVrOLRFNdIw7TR9pNI+oy4ERducI3U7TUSPI6Q1dozaIm6EOM5TmmMOIZaImneoVhXWsk3s/+QHALIMNXhGwENSoPvMI2BMmt1I/aggoIokKLIylGtIlmbcTAHaewc7Yw/T+JQcvg46JxCDrSnEJ8IUxxofZD4ngPic/Q9zeqQzsMCx3jUzKp1o7OZuIehqWBuphDnzrRim0pWK7cZiTKOQ5uvO3MLzZ+CTcoG9ha1BsW0d4yu66rOWk6EwCyt2n/dT1Na7uZ+ruWy9nUqTkOUc8wOsDaQbtd1JYVyraLLablwWqQWWrHNpkScdQcScdgQ2rqKWmWPUDetBlN3E2U2TYbMuj/67Qy3WXQ2d4nZtslJXCO1gdbVsYO1ulfCtfNEamOV0KZsYI2Akpuzt1fNaeckcTC7l3J1P6W15h3CjMLag5w2rEzSFWwNVGxTDufzpDO1s/w86cE3PP+dHKeWE8z5I8JBBDmRHGKQKfAm9/knlEEQv0VAFEhHkBtSh6eqgmDUmJXvg7hGZCYxgnt+9O0kHyMx5aLSf3KTlfUeRFQ26GyWrLJ+VlFzU+4WsC6wLsoGUrqtl6CtVilTKiKehmskhCzq0gi+JdKJWFuFADMOiXFqFs8+UyqudbP2A05DlMM5wCjr197yK1Z163BSxbPBulh4vfrEWwRaW2m7HMzCNFJLJJJ0I/h23q6mZJBhXQuIfl0shNpwmnQWWabMtXSN16I4ioBxRGf15duAwTqLrz6bJpOgEYahZUvXCC3prBjHZdaIjp1Qy4qnY/YBnXY5aoQSNtzSswqxbogpMlFTM7lGciSye5vk0FocbEeUCD3jh0AwhNpeKtYT1VLasDJJN1gbaNimHKI2do52lu9JmLcNJ4/zp5+zG9wMrhEUvAHWR3mj6SSeCI8SFewkgtRSEyOSO00+QXLhmEUwi0oh+aKzCF4acY2mUxS19iUnCC3dmntr6IqyQCKYS2PocsTN9YImBo27EBOz26sT5fjHEcvZgxXtylbZGTBZcaKWLPy9jb29eOL/ZaX2BnrpiXgIaT475loYeglce01sEdPNFderAKcSjjHkVSdDOGkAdGnmSsisB682aTopDvHrknNTSHMTIGc3RPchkYinaGW2QtUJLWtZI16jevkaGQsnEQxOqueIHvg1wvIdoqOzGaEEw1WkdVsfRKaEueZWTNGKeyk1blfuBhFvgUojnn7W61Vvn9xiWQIKdVj57glBBbMPaQZMoiiHqbFztDP++244njxvG45+ziWHkrj3Q4LiGolCQxUqJqtF0Ky5EbTPGqlxguSGU4PKsgojuT9PQaSyRtLVSecOYboEhqANNKzPo0sjWQUYcYL2U6tvrrf2oKZxF4KPHey/eMq1NuLG1rZ1KG2t7Bh+0v0qRdFktY196XBdSMV6QbMQOzTiVZDTBKVdiuSu5dKDpWvkFFyzEglSej1jxOW310emIFc1lhk1l6ymInJAIkxBiNSKVRynzpqeujkndZOziuAaAf//7b1PzK5pVeYrB6VU0lhF7ECfYyyK0wMcAVa6caY4EIdiNCmGxkmVnY4jBRITGFk4cMAIHDkEJ8ahDLRr4MSBVDljcKgCQ07s5ByqIKe7KdPi+e39+7h6ue77eb53b9i79kutlcqVda/7Wtda637u59vv9+0/lRlDqPo6yOr4IOzN6qkIImUb7BrPg0sEJkuDZq0RfMptRWq3FdO5gmBtrCIc1dato5TWRnpglyXxRrOT9XmFWfns5uHyHOGgzJKg+jhsYRkTQnpYD6RxzB27OrviP5/E5ePuglxfl2wZ8ernXhrhyvIyJKtGVDClYnK3WYmsiZdgFNK/Ti161NiKdMWLXZ2qg59us8wgfDlouee1zjGyVMEQ52tErV6HMkgKnJNzQOTo2SVyvtsilxysDaylWzq0Kn6JfznzEh+kB511Lnc1ORXlo9YuwLpFerJWqdZPixz5K9ZdqtRB1qFahwSN1FZXrEckM+M0QTltaUoVifIW5Xw/GLX0WZ28vDaWumCubktkovZKGmzPJRGHzVZErBunMnVgnsjq31MnlZmh8tTkJF53PUk49awaUySo1WXGIVIFjzCFWvDR/P+7jd1q1/r33bh53GPRJV8UjOBwmwl6y43gcHGJhJOIgkmpyM2ufN4Qs+KDcFrihRGVrc5Sh911q2bFbxG/X6lObVLBYBuEry+ksIVTv/G6V4xIqoBUadVtDySldkIk5wBCzrFHM7hGQkbc3TUi0xLrYVa0Afg5Jfgpl6kh48DJLucvn63aBhwichK5p6wjDhEJ4DqFu5UTJF1muzx5Ci2CSCsXrMcrrt0eMcV1Xoragw3EByXrt57Brb6YrDCRcms9jXVpShPJsawYkWAb5JJ42ssImYgStkdQjnXN4jBdVj4R4okE1+eSO6a+uVHLsbTzjwNWEXPh10jrJEFo55G0gW+tddjsepK26jurWiZqh1xF5JjOf00wiEKNWAhyRTscu0a7yp8nffUb3+Rl42qCXEoutw5b3GwcLjf3lYsOEqxbq0M6N9i73pytwoqWS9ZJREGxpV+4dTlSndd17fYcW+fnJSreWg6CTy2HDL+ealUjwpa21amRYMgnDoi/9r8iNPlBReoIOjJTYr2QP6itI45nso7gIctsSCLO5Res5p48grq7drtyanyd9/7uv6Ntq3ggueStvVqO3foKZFdxOswdSIltuXZVonPJVkpTVFM5TpZHFyMcENm1vRbZxuvg2WVZz3zFKgiuja0dntO21ylnRdBI4muT5ubZhU8Qix8RMSUUybLF10LtOnHx/v3PvP1uqYtsfp706NhV/jyJF4DLJ3KPuawEuZT4RPC9qSC+HHYrp0a4vvKrk+8DcuNN5B1zyb1v5ZK+jdRvLAjag3i05ZL0hpS+NU4ux5ISF2IqpvNgFV/9S8r5vKLMkmPMebZaBDF2j3Qk1AcBsjR4EgFrrVRsETDKd0v9L5GMUJ9vLdEuJJg2cmkTuaesIw5x266DGA8TzGmDLMGQj1BOFMT0A65vBMdiZB125SRSaXnE25bOkSxy7cpjUT8RZeNTLg1UqTxckCbNYmlKdutRrEOFFic6l2wljiGY80nDIpH1qBsHrK2ukTxHKtY4QdrwBBT33NiqTTasj1VcG0uk4gl/fV4grVIOp0nVJmkGzBbH6xd2FRw8mhFZH6K4PriGpiNbv7DTj4XGrtGu8udJ/vkkHO4lV7miQW4k99KLmy3uPS9VjYik+DpVZIu7jkOWUncK3xUHzdUJYRWpCI33Ko0ptaYbzBYprQ22WuSoYi2RwatfMXHFVUiJ1QkzzuXlkugy51lL3zoIyGG6jMLKOYocjZOIpYkjjqWWImur2XoDMZ1kljY46Fll6+jMK1aFE82ts2K2to+vIvHaRh5Ne0Yrklhl10JObZVg3s0jWbEdHU5kcapfa51rXoLbk78Vj7K28bV5cXtc4K0PYk35geOdE//X3a5o/xkZfp41fgj6NTHK5w8x5xBHKQvxNRxHm58nXald659P4kZyEbmFLLnELLnQ3FqXftLXD3KDW0T0rqMWRI24y3zTIJMqybUi715Lj0iNQCMlamk4EVMMOpcNuyutNVa/X2nYShCkOkHaiD6RcIwTtEotunXC1AFr22vpRMInKGZklRvCYXcdhEgeqLuig5xHjsYxUk8ScYdqIutp42TGh4l5lPTgCDnJ2nNoLrMlM5hHXyNVgTMnboRl1QTxWyTYGgC3j68ihTxh2mBJz3Ha+VekYZyTQjmfWguCl6FKNUx1+ZKRRRA1ECmWBiNuLXB7trdGgvVpVszBbjGznzzHKEQ2CnBwaMClGKnzB9HIP1hMzx77CRNaO0Cy8qwroR0RtOhICLbH1L6eKGshioJEXOKMXaNd8c+TuIvezpvo7nsggtxpLmviYI3El6/mEaJWdcTzlIqm10JrhCVBzRJHjdE5ryWvNF/y1mUS0cEn7piRXZ3zcueojnakr0OfdsiSoFviUenKXAcJ1sd6a+SoFlso5xgtXU9SkZx5c0xPuXNc27sPpFwqrkOxVZktfdu/IolUnSjkKcSpmkeRtYEtrfrtQUQBJ1uQ280/L8SuQ7VWo5DdtqRKlaq3Qj9boOLm3h+2BlbxROq8batiaCcO2BTqwYaTlo4Oja0mXmW/Hz94a/Px83RkgglW3xGMyFTB+OVIevoJclBIPfmun0T5QpufJz06dq0/T+Lm8S0LeBO6e625piKXEg5BfL664fAmcOndTYR0XwOW8CGovEV2zaq4ppyIqJAIflpNRGWsDtJ0ZPL1CGQWz4FByGXJbgqBiCAlGUJOKSMkIrZCJ+NUpE/UtrItYodEalGQyFZcpvqI+LyqbDAz0nNqtUjS1+99QWnwbZIG+I+ttBFZd6vjUzA95WibYJpv8TRz35hj17eZoD2n+ppOA9CqQzyRHAtqTSFHvY6wRvIUanBFE+02+jlhl5kFzJmTGKa754U8HJxaMQo8IyumtLK0VEWIuAtfX5EgfHMjGLwkAjogUiCEWr11frKFTnbT3klkVcg5uEs8HULYHpqJrT1l9aG5RUotx6Fl0pVjPMhW1Rebmk22liAkKNnmE4l4HiL+hf/Wa3tSOQQbwx+7RrvinydxI7nHONw/l7xa3E5utnfU++2rYjwO15eL2yKqRXZ1oEU/yDvQOC0Sx5Yqpr2k2JVLd/VPcjGaz+yVz3JtOJhyNXLU6iV4SQkw09VdloqkhzhswQGrCLgVF0NeHXAtUaew3HrsxhVZdwnmCskEtcxrsCqwrFPcqw9W8aOeU3RNz9bqqBZHKbe22JRrRM2TKSqmARA/x9t2cbD15hOUfGGJulwPEJH6TJOVeDvtVrSdYbIujORGRZ9gegDrIK10tipny9xGwCSmMTmtz3oCorlaFazIaKqFszorB7zX5te30pQWbDNWKbfqgCezi8quncy/n3SldpU/T+KjPdeOr4/cSBzvJReX68g1xSfoR3t8brlxEN8IL8Ma8ZafONEJkstWbWaN4Bx954Fje+rblQqgVRQB4cfPrumZHaz6CW7Rci3SmrwQaalJHZWQ7Oy0zTjGM109tzYpfkXS9TMpSyOpGH4iYCtRDxbkP1LWeKqAbdcSkXUJ8pVRqQRVqEGmiDIK0tjy6FTYcoioA0YTrM+FOFk2I+bQxPSjQ7lE7JBISrh1hLVhlOsIlbD6DWu3RKzeGpYGMo4RdmF6Jmy1A0y62ILRdOSKPlNoEoJ51kE569Nh1zOMGk62jiKK1CpEUj3915baka7THTET2R4Lvj3IybL2VtHBMdRqiYh7k3MPw2l1txyQugaDoanc1OoJs4xIWjXIkvh6Mnl2FevsiKyEbSfg2JXaVf486avf+CbvhjeS+6fDjRS5o3mX2MKpuycI81YHRJ/XSZ84LwNVzhGyzZCbzsnVeBVpOPohsxX+qpMeGuZA2vgnKXW39VkdmqTVbZwqq9R5iWyhWePr6V0yQhqIWna3WbVWW55jfShJPBqtysKpT9kgPoKaW+k/kdVpJ4ZDPF1Vp92rI0R5rduaX88Q3MZPOt/ireL39ExxKKcZ12kp2c1Wfcorwq9klnWXYI46yvUA7xXTbYZqh7D2n62G97S7la3XLMv06WU7GiTnBka8VrkEW5PrfQhulW0YkUtewIbEj0bL7DBTop4GuU1w/r7bldpV/jyJ6+7txOf7Zm4nt5CrKfIKcWvZ8qYmfo4wV0dDzQjvJ0vehFTEsZPgNkKWSzuPpn369qKWKnLwM6nIFvPiMGP4ay4EKyqStomHRoTqGUTBpKcuTirCr3H1kUWhSrHVxGsDOCY6O5hZ6g9Cgp4eNHuImhH1bcDgejJrBHQKkcQsKVe3WgQm6TmEJFrCZaausvgeFHH6N6jPFvG1/0TMWjn4tVx7NDpuWTHnlpTs4tBeK6cISDy7yVXNZ2qEpZwo4LdIEqvUyYUxfskzhWmr8J0Ix+U2JbugU5i+vYQgWbUrlvBp2FNCvJUD3dpiElsEBZD0+oiVNZLTS5VKdivHWHf1Tw5fXBOJ214UWKbzXLYtkhs1cFvlEqwjgOttZHmkbMPskhUy7flYSYFAvKrllECWGQdCfDCzQ2sR0NwqJY5do13lz5Pa33fj/nkv8bnoQe4oFxef+82bZvzEl2yi8VUZvzlybOZyjCBopFVpPSSLraN5xcaPoE5kE4mzpkckJ9kINR2n+kcOUnzBMtdICNlq1c/V8gRXrM+3RsBaqC1hOmOLi5QOocbVb0wddHJ6IluYvlIss3s51jZQqNXFxsS5W/mOEfc0DDbxzJ6UbLVyWweLeFNW8HKn4SqbSD3Jmn7USYubTtDBq5PH17pq518Fk+7u5RjxWsKhjJyMlq3WZ8WVs5KbbBtz7flkWPhVuWI7rlv9Lab5ky8FcEID0eSB1uCRk+r1BC5HRJrU/H23K7Ur/vtuIJfPJcjV5FXB4U4T52ry6oLEuaBg9e+o3P0OQ6ZxEk0PxxLUkgOGY0QOePRt6BYRrK2m/1ql9uCw8o3Ib/M2foIKysxRJBKOWNP1CeYkmz7LxOODq3gifIVSIc0H3Upd/XO1jLNFd1MITSPpQXQJBzRXB/L6+CSscfWrrA5b9fRksgQ9QDnK3hMmN+VaV0QqkyUOp0GQ6vg0BtpPE8+ZtG4dynLVYTcONBTWR5MHkaBtnEdaOj1TaI3g2LDxmlg7SQ+ktLjj5G7geIbQtl1ZEULqVsF2x0BO5pLItoTV1x7aITdOhq2yq04iodF8Iji1yfRZg54VzPUGRiflgu24ZJJivD5cOfXZRYelwarWBscJH4RpJLnZbZFobqc7R4+uSREZu0a7+p8nib45vpbNOcJLmNzylIC2cngZeJPDacuK2cLhi4LKasZni9epVeGdN7FVNDfN62wbYAuLYMNadG07CiFv9VtXrUTD7alGoRFqifVwLsSINGdFC/GAzLWT9OYWnDyURCpfqWSxm2ZIZAoiBqOfiiDLTHrki7XzlNtWr41VhYpN3xTTa6Tpxwkh/FUZtaOtFt9i0lcnT8SG10JBt6hbzxys0+WgkG00c+25pli3MuslaUeUSC1XETWsJrJsbVyCUWuyR2fObnMubBhmeylOnsi2Afjtkhw56hs5wjUXPBn8hEMkc50fghga6a2N+XnSldp1//tJ+H5y5wpyR0HeaoJgIkHeQ7fknzDFFALxtxxeV18MmS5NEesWreqorKY+NBzeLggqp9uUqBXNJdKm4A23XFCmnC1SVF9+Gm4KtXrdBfmvdXWCcJK7Va4EkZZwGK1JnWMOMFKro3h8+6ETFdJJesMhiCVCV5RIxUjVLPg5cKfAb/pRUBPfyJEvkp7+LdeWFoKcl4WtqlCRFJtExN50PEMjOFW/Olt9n0Lu2Fp0HeoEc4xrpLYRQu4Ag7QUWkoEJJLpcoZsNZqYnis5JVJ0e0QtAkahIkwL5UjbFCeYBqKmoyaYxyFW2QSN4KtQG17RFDn46rOkecSroOgBtqezXhL8bWT7UBquuWC9bNu70ThiZteBn8G3fvjop5YOkbFrtCv+eRL3khcGh/sHEudqch0rwuHeJwKnOUdMEI7K0b+VI7bGEuT94bXEJ1eH9PiR5aWySpqUoE4qmptOxFbRNmDWztcpEl/bbrVS/QhPauk3hSiDjnlJG+clIgh/q9xKVILpJjbaEa4jrJwQamNNXx0VqmbDNGnkqKIImVuHGpeqzb6WIIKtsm5F4agWtHDgV9laBWwjnMQviQTbQzSY6msbonx2j+aqs1TcHojk1Dp/OicEumoPrirXGbd+a4D40UMXwwerIPHWVR05y+hYzipgbCsupzkNG//W3UsiwVurB+tjyhJlx49TzypHZHVK8Cjn30+6Uvvh+feTuJfc6Ybc0RrhfsMEj5hcZQkKetGj71cudgmaZXVRZmss7fEigdJw/P4eBXTad+Ey06RZUeO/+l1axTQg2gZbiNTp0GdX8cwbvulNiqV843W3MdUPPyfGlj2w5ex1CnbpRIX19ESYdYSTEhkqMzblVkKCsjURtUpr6ODwYcrHN5IBRUvgoyxGv3I8jWgmJZOyxOrsLNPPipLvJv2vH4DF4b9aAoflVlZaOzTQE9BXR45qbdiK7TFlHNJvjZhb1UTUbCMPUQwnkYby4WSWhvy3tsrSYXHqQ5SWok2N9BqBfLTFmLaXY6/K9QDrfchxufRMyE2ryaqzgNYS6wGyW7tKM23ZypnOUuVUAdvjS93KqXj0uOtuJqL0yl852d1W355PnZrdNj5O7kCQLXLTj7XGrtSu8udJR/9+Ejebe6l/hCunRdCvQfWzdLc6EngZGpKSJhsZh7eRt4u4jnGWbMkMElSwZmnstubXZrbTKbVOlPZ0MoJSELJVS7Ry6fCSQgluO29PGXLTOSmhA+Kvfa7YslyeDytCyyGf82Eq3vjtnC2tpZOt0xKPKl7SlRwc9TnSc+UV11pEDNqqI6tfp7hXJ9g02whb3LYh+nJtn0gdMG2sp5osmbeeYfhRq5G1irK15zSzOiB+LXeSBa4nk8g66YpIhRmRc/0Vzzl1tzEtRJAnuOWHg5MvF7cyI3v+HGXWU2qdBOffT7pSu/p/PwkH5I6C3GZ9rin3kivLK9EivA+gvuiv6yqAlUbEQslqNPQlrGiTlRw1lrRqb1YnToeSG5IYHdpQTWSrjgNHHauIbd4orxOZTkqcnDNIMCUiHrQouz6C80Iemr6N4TdBsD5lv0VrOuaCee6JhGPWKt5Qcm5Llo3WztYIZBpgidM4jc/SDj0T+cTrOYO2UadY5zLSEsFaESac8ynkgPrRX5XX3BqpOtk1WEduJ3w013kkx0iTRqxl0fC32F6HIOmqKYLffkJgifQjs52Gh8ZWBOtu0Fw4NKOD5hpJ3Cxq2UDF0NYISGL92cY5uT0gcnNWR/9rsxqXqX+iT9ytPMSVo59Oto+7MkEr8homAm45YIufMI2sz7E+d5l0m5OxvYg0HLtGu8qfJ61/340gt5NrHSRy5AS57lzo7VaQy12rYCeEFSnBaxZ+3UJq5Uc/vZnLe1iXKwHcCrJFPJwjhIMgX2haekV7oxNp+M5eHQVvrSjfok5xdIweIEX9Knkuu8Wj0VrQ6SxhV/iVz65NtsTUysnUrBUtZMrR1I1pP8mqkdZSjeTiXc6pveGfJK6R9TkmmLZBZOsyuJK36WJE8l7k8C/RqZH4rXNvXTS9frX59XlBkw8NTk1vjgpgBJsDk67WEkm8FdFp5dSsnDUCpoGj+7N2JZlERk6WIkf61bmcmcddc1fcqm3xiNni9W6sSDNwwDzxKiUqOH/f7UrtWv++G9fO6yiy5C5yayVwrV2C+DXCVXZJFhfXSMiNgJ8qlCAemkiktiEtPru8NiCGYOuZ//ItiEhEJmiiPmirtcMQyDKOfhP0WCxdcyMbZIsvcPbcRMT0Js0lDsohpITOEZoI4mcuNRWMD4cx2XXYVeoI65gs03PFGpRGrimWIxKCY24Tc4zbKg2VTZNGjg48T60+/RqBqXJ7KKDndq+cdk+2iS1iq60f0WC7cnWKikcz1kikEvRJ5fDxE8ksbB1F0iTx1nnThEAkDSBV+WI9lqTXuE7agKaDrI5VrGgJ/HolagNJCdajZpn+oxm/RapatozgtykcIb5b0OAnS2wXwCppoDJVIIha4iszDSeyRevClLw9q3NmboW768iJsCuT9HbgqyDBsWu0H5KfJ4lscYN5LbmUvm9bhHbktCUXHdk4qYLxAlAFxyBL3uFKJsJro05aqjpJWR1LwK9dVWQ3y1qIeC1RjyUpLbee1Xl7W5pIkBnTfK2bWiLBOqbBRKrmKlKfbO28+kES69bac8WtgniUmJ7TIU7bilMT60TbA3eZ3coHa6upuOJRlS2nlTZ+fmIiidy92meugQSD4Lb/+4hUqYbrcYW8OrlL23dTZsyUpnB+PtAu4awOllqmM7tHmogcEFo7qxasfAlrSk1sQTDV7bAtK7astavqrJz1iRwxt/Et55K6J0wRfjv/RPLUwqf5fDUW2dVYzs+TrtSu8udJfmvlffX6elm5tdxFbjA+F/oI4chsEa54XeIrHidVQKvgu+V3EpLzHXb08atgS1kdldPPihkBrIVIqSVA4jKPcuOzCz9HWrtiIuKV1kogG362jCfRcXBk6rtlCSINIyLWbvXV5FnArFUyZlKoWG9L9cGqXHE9z2DmTYfw21acikcnWclw3FU2zbCswx5NVLPAWzm1tHEwkYpNwbfACA7n0EY22Po3iFSqXx5xuSK7tqSPVTJ+i6SNXCTTQZf4JppiJEuZGTPo+bBrlS0nmMM0wjKJtYRH6q4RnHRSX4QWDD/HmEdAMFWwJK7YHmhbBlNCbC8U+muVxmlP5IS5jevnHOxnW3e9XWSFkJTsZmTiOkTWr1HymSJSEYw+zLFrtKv8edJXv/FNbir3j1vL5Quyxa3lRopcXF6e80hDFLLEr+Lk8g5sqxgPLb1VmlgFz9Eq9nP5IOk5XRFXZCVXhNMGqQgHgjp1wKSwJac+FJl3824aiMMXDrZS3S2CqpmYJVuhrVg1PZNEKq63ZR2wZVn3PFGESc9WX/k5pTVljbdgbQyn+jpH7UGwpXVLTMOrDrknyhUrM4I1sVVJ2215iZPny7LJGqm3pZKPUhpup1BNQjoR63XdPt+6XDElVI6PeOthzYWwvj5YjYBEahZLmRJyREcHe9LGdmSzzrHqX4Ir/1aFDFgPpGWtnEpeaesJuJs7gF/5WynI8+8nXald5c+TuJqglxXkHfCmcoO5lEFeDJDbyRYXHbKRymkITbJqESeXL0w6Eoiblbg9pLcQKhoPv/oViVvFrKNBEglaAkK6grO2IdZ0lnWQinJIkVkP3xTTQQRrLrsEk6iI1RGJL7IbNUuw9Nu1nGQarmcb8TzcRELGyfd/K6omsxbCATMRu1tfZp5I4sH1YJPS4pLTGMs0RqSOZp/4qwIon2PMshHcVUpy3UIZ/XpKR3/jSSZZjrMmpoqYtusSbIRtpErV5iXkkI2nmeAaqUiW6dJcejKtk1zCVFyfL7ieuRGVraujIMcFzRL2sL1LIGTGb81jNSJSMc+CXJxMAeYM68lsfYq2cbZXOgdFRIWcVXB9cOEkq8bhN7U1UtXAlEsEzJG2rS250fAZsJ6Au6BvK8ETEbuVP3aldpU/T/r6f/3v3FruKJfPu6vDFnFeCa9mkDiOKYlX5pEPqsy9D4agbOMQTCQiVXYVbOJ8IcCpucFUXJ2Kawlo2xlN3/ZWO1mrtJ5rehLdlR9O02lIodTSbydZd2viOULmy1btakU4MpOCQ9vrNTvKNfGI046FlJUjRiQpIadQzrMx47R+VmYIoOJ1i0LtxAgmApNjgROLVO1ETrYqZhwMZrsba+QEUyID1tf8crSlNJapo9+Y4VTM+NulGKko4+Rs8SVs9cVwxFRpcdAzMeueTrViFanYpqN6SuCbG2fFxiG3PbhVJA7HdVLoZNJKE7dkaW7ht6nTJ214ydPPKlKd+feTrtSu8udJ3FdvJ7fWW+hbmjgvNreZq0kEZEmQVzqRykSBK06EpbTksrREUAJIYtQqh9xk1XIpUclB49J0am7QQWrpROq8+SZSpAROnSuzu7Q3/NoVHB2+BEQZJJFgfsCA30YjMaVTMSUaIm4nMtfR1GzBSrsE4WecIBVrpMlayGctOc0EVSBea7Xd8FsDdbf5KZQU/vOo2bVQfWQumyMtUpyzTjTZwhgTv235UFymNyN54p6PdwM/jZnFlkdnUMyztqKTEl/vxhpZMWpZpu5RyooRyZgZFgcCTmOGkylqYs5wuwRzUAimE2TDtArI1ppbOZFquYmDVeGeTjUiLKsImDbqdDZsiTbaKmikcdYHl9w1kllWDlgnzUQr7YRct+g8X9A8xqjpQ/a2J15FwBofu0a74p8ncTV5P7mIQba4xyBXszoNyeV+4/NW6KwpOidVola3VoSccqZQVM0mHkJ6AFvuNhJsPcfJVnUyexRaPxUbja+PvPPGdZCNj8NSP4dQFRquvYEZs+lg2aq0E18kURG2cixVnDhzhV9RwlF6TczDrSnnGME4dVdN9Om/Hm/KpXSCccQ6Y6ub3CPOipAzY44Up9ZVzWC7ZnLqGRoPstUeXI203VQUa93Ej9Ljt7brsG2EEyZq58+9ZakcwSrbZkyw6me3tQTNq2J8bYN4coOtorlxbh0thCoekYoRzMW7FVtvJ3jCrM1U2jblqPP2IIg0zjkqO3/f7UrtWn+exP3OZ/wgce4iFxofxDfSkFx9bnxjtlyYvBLccl8MkKAEkdcmhOonJeXwTeFrhIQ4ILm1hyz9qlcjaT7I13E5San6dQvEN7LqwF+PFIUQLOShWUIHdDfl9B0NTPNptc1rMBEwhxYdUixUO9dPYzCNr+eGo1TOp4qbXhtIqxKCpttMIqYQifgW00PFpKy5NsCMHg4RG6vl4uuAdWqwaUY58+IT2fbW0H7SZ7aMV7UE6wMKJwppMsiWzIyQCPytmkjEDiuhpTDyKlvT2yFI9sKfM1Fb3532BiUIH6f1D8q0YYO0Hf2UM7cqSCNiqwTZqh3GN8u5TDSLLSPmVnH6ic4WnR1N/FUktRLMxbsE62mcYzs3q9dBVlq9WuEkq2GG1alz3Yr0o4PO2DXa1f88qTq8A954sUbW3RVXDjcb5YpUbzTeotpGjfgeSsPhbTFRgoJZymmliawOJiedEKnLqm8bkT1CNcHzXAvhZEanTnojqJPOq0IcMJ0nIsKpCtHBGpmITg45kThrS+mf3ailGRPDWTupaEtUz21sThq4UFBUtg3SJkrpeoZyTmpF+T76AetholDvSYJrP1nmKNbLmUKXOFgKuVTnnhxxvR6pEg7IcuXkDFfHrBrPlwX8HJHxVAmuXW2Zbtlq5trm1rtdnXZ/gi19vSqKWEt/q0Acq/E2fqt+Hll3G9Y2TsiZeh2/lTsa/Ihf1aCpPz9PulK74j+f5E2Nwy0kznWEwEubCDcVbLtb5E2oERRQ5sarr99kYbY2jERNmnWTWAXDp2JtXs7qQIhgGq4zElFZvl9SrXuC0Wl/8IigW7UQ1SPud8nqhEAEgjqinYcg2QjYTp7mpdXDD8JRoWJyc8iJyMEnvQnaf8qJBGtinuwWI2hKyM2BZgN161Y0K4PketiYT4GInbczrM3XqfWTtR2w8tcsMBfAoKUx6oa57ad1DieRmo5yqqeBFoFvMymE1Frukog6aubGitSSHIRsGxXb445D2+on7jtlMHdVgk49ChyzgkRyaOGzZcMujddcfYJHbwfYnpdoeh5KpkgwZOMqZ2p7kwzHQsE2vlLJPYmgaW49KzmJuBRroZaSqVcOW06kQr0YTCQt/LQUfnzVjOCMXaNd/c+TuHxBtrivIBcUgl96vOtBd13C4fo2Qo3z/rQStRBMnHW3cnhJqtStfNA25GfMGlEwzBXXtiHXYY/85KauXVXxSsOBgGUrarWHI7VWumI0Wz8428d6Ca7HQpBCxmtvdSL8mnKE28HvFeuYee51hG1jtfMV7Wd1yLLnNmAItYdE6owh2MB61fHPu6oc/LoV8W0btW5k095J5ISpZnsQ7Gaumtg6qQe4on2agpNJG4bcnFTBOfqapmWJ03prKcFMdBS3bUVaP+kzEfh3G7ljStV0gkflTLzVybO4hAxuy22ZR5x2qzMphEpz1+Cqltz595Ou1K7y50lcOL5ecPO4gkHivI3cSy4lPrcZ3wjIdSfIVl3C8SpXAhFeDCIsla3fSYAQaMAs/O0/LQMBB7UqBZn/WttB+WnGoGOqhgPSc2WuGGZt2MS0jawibNlhzU1dlgRzMkkPjSXx9ejS/6qmQmsjypFqhaKQx7p2dY6RAklRjfTEaw81ka36iNfHTTq0HGOqXILpBFSkObUT0IZFIuaGsJ6JytTSIa5jlj23fpLimRvxFslvBBwiFK27IH5tvvZWOSBGvDUc8VpljdRhbaAWXSNH8WjWEupXcp1RWr0JR2g6KTjtdtVjUTM9xLEKDtVhhh8dlqJbxiGbDlZyw/UobMmvjTgRCdazgkBKPS7TlWrpLLdfcm2v9b+NrF/9TrLA8FN0m7JiOOsTz9SgfHcNtqFqLs7YldpV/jzp/P/vxu3cIrvbJTeblyER7jcvgw6vWcSzhMlrkHL6jbz2I63urhg+zq0ckbo2XyPbtk0EZWbqOGuufM0sndDMSrw667xkebA1a03UgUxX+FWh0aqfFJZbH05E8sjk1FahRdD0yt8ebGhg7fYcVzWbaUMpm901Uh8f2NJblYoQknV+OSFQRR2zVn5Vg9wetJjeTDdOh5UMZ23gCNdDC56c2Ja5rdt6E520XYk4qwhkUjRF4rRljqWJy6mHJqp/R/fg5zSmpI1sbckVEdTJc9/OpT7kE78pJGgDKRQHXNu7teGGW4XtnayE8xLbw8wg9c6vQyX3P7zvCYIX2vw86dGxq/x5kjc1yBUHiXMRuZcNucFscVPbFhHjXPQa4a2Ww72vhbK0Acvp192ghJTzO8vzn0yEj0KNi2haMZ2DdKvPIRy1TTqOtPSTxIy/5np0bKWiNFJsJmqNgA8BTP92go9Bo1sc9I8U7ApanT18Ikcp+tZii7rGHcq6Thd+bbIKiuFvD1ZBs9wiUmktEl81xaliMx64alY3wsMipUWk1alBIjWd3ZRuSCcRPOKAqqVbq+TERA8Bmpp5g6Lvrkv8yIKNTNHtD2i3mENYy21PrEVIJOIBrs/IlMYHXUrOlah3o0qZZXpEmqZLfHN1oinHoL4c9UF80ts1EHNW0GrR7VEgm0QrgnWuirXP+CDpiatAY7WNBFuhlAbXWbbTbfFowDzKI2RSO6nnEEQks0sT01jVb0O13LFrtCv+eRIXmtvpFeRSegsJcnd9SeITZ9mCiRwhWdxyZI/QcvZgpLbE61E7OaHpt8acqJaL1FH/GbPmwvdLQO3nBI/qNrTW2kwirYc6PrmNQMTgqklcpgTQ+K3jhBBnHU1N42mydcKyplSExm5tT3/VPFIQUzGJNYLfJkrkVjyvG6ZFj2g2A9JA7lKdy12ltr3VYM6kcUBoOBceHcxtLVACu/fhVCQYWfxa5ejEstWuk8Gkr5rbBkQVPPy1urc0mqCRNNA6SdH1OsUJEkmV88chWiInoH6WXp5WQgz51vitkZQ4eV+25ULTWWXrIDXxVswRzc+TrtSu8udJfMfJ/eOycvlwiOSbFV5m7rFXk1sO4nO/2RIhxD9HLzdqVmm+hPQgulQh1c9p2ap8sPLBdaggOkrVXFslzrxEWj8n2OqqvKL8VdMInPSADjPW7ymJS0gJUxRfH5BSkCmR+FqaL4tueVbRqS1ZsdYly4gPwt6sogKcpGQiMDQjdaimKb9i08kIVS2jWSWD1AhMaZm9olXwc/gVk8uytSQmAgE1yB4IlrOSUFtSs2F2IedM3K2dpxlptrr+CBaCibVKdMhVYXXS8LoVJ4ia/Shba4GNLKIP2aVjslTEYBPJsUiLTkW3IPsiVzV3c8+pLsF7knPOw5KW6klMpPYjEq8itbEV5aODj9PeO5a1VkPJeYiZhbqXR8TIrgMGt+WaQvo3CLkOkupH2C4kfI9o7BrtKn+e9NVvfJN3wLfRK+irgnFHuZdxgnC43/caAbnoKZRyVqfKEYF+qghYCWIrgWPbpq+yVU1Mw7yT6fw8RVwnNQLWgxUdc5u1KuiTUhXY8gHRZ9WH7JgpsWKTOmGC7Dan4nqkqh3Fk5tjCdmJjmRXjEKculvLVbXWxoq1jZOR1+pxLAE2Zmu+3ue6VfGSbrkhq6adu8vSToyvZ0s8t91EnKbTZmQrmkcHUksk6ET15WIrI1yC8msDrecg8aNmUj2Y9wi/CppCBCOynp7xKtWwlmvNV52KaRsnr3nt+dbZK6bP+3Ow7YmB2zj85qzMbNVBtKOUbSKc+ftuV2pX+fMk3sb6bTEXlIvIjQQJ6vPm8Lq6lHOvEa41ji9GRarrhIATAhG+atgAPqZUCCKRcMyCZmnSE8w302QdDUXclLWQKSsezZ7Rgs5YOfV8VEvbqVjbcIs4KU2fRAmk1PZSwq0qtXLShiUMVrXwo2N7qoGJB5ty2pYM1ke8pq8YhfMTrk0STPNHyBM5GTm9rdV1LOFJNkKQLW8X5pk0QrA+iC0iDq2+s2q6m9tlUXdbFeMyyYpC1WkzerxG4jSO4kGCfnmxSl4u0EueLz7nCDOtoux0NonDrievMkHIVcGUKJglXyYKxFk6I0v7V42tqiZG6giZHRqaad4nEnGw3YF6mORitWeQXXXWcmLmiuY9OfaDAlJgfV4VE68XNYTaTztzHWhWMQULAd+LUSNV08O3gbFrtGv9eZLvJDeSy+f19Zo2JP79ONx1xHmvrMKlvxXJMlekQ966SDWmhVziJ9L4aaByCHIItdY2ccsR0VFKX2c78hH5xKltECSyxtOkRySh6YBppjHXog0rH05myYxHjyZbUa6cGgdr4v2hOqkShyputcG3kTWOf35vQ96egLkR3x7FitBaD9X3tW3TVSRYdeBLTj/brFolCpdjxF2ig4jWConbrBVDUND0OM5lpAVPhl2Z6xOUlq+NtSXiSUGn+sF8yTrqKpGqXDFSlsiXIAW3DbRa6qTiiZOUSKnTCjVMueCt5FRkWf0QcNajM9Frj/37n3m7ziU2P096dOwqf57EXeTdwOH++X0VvpGGXFNeOfA+Ivi+h1TR8W2MvyK75vLCKEWrkaq57kJjyQhs1dLEwwRtAELtkxc1fWIEFaklwlmRXRylUhckEYe2820oaji0FM6a1SL4tQ05YmRFOB5RTkwMH4SQrhIEt+SKlW8zHlGty9J4bZhzq8o+DpkuEyfl/O9nne+CKKjG0h50ciXSao4oERMr1jj+ed16Aiwr5sq1Q67kemgiu+nBbjlJaOkHnRwmkdq5GGVzU66+AjmHYJ6XBFO2uPYM+mWEXNBulfL5ppxdReHoy8JKQMHpSI/jllUM4tREttZhK5MIgyuy9s9pqwbaEgRyEVeKrfqkHJDcdvnx1ck4iURZPxETRR96FbSofppxmRMQU/HESTNVdi3UMC0FM3X6Z2nEpRWJxIdZCWA7OjEn4DmPXaNd5c+T/PtuONxC7ysX1Ag+95LXhjv6/SBSONxvZFsVlydBc8GqVgmNFjvnH41GnPfWpQ2nK3TCSW583tuTILn4KOMoa9BCt+I6KcE0Foe44nBCxmrDIJGmLzbaNhLMFMxVz6c+5dbwmusy/eC4lYmqzhGGHAedrYKd1HI4MPPEgwTXwU96q6VrvHFqodrkKk4EAia/+RFxWe9ew3bULu2H5V3VO7YmgjSjbM26BFsK+rdGxIxfgxWTpUIGr1Is12Ezy3bYqgliNdd4jdR4fcdVW50gkapwOZKIValMVEvAyRL/XPMcU25baIvnLbVbWs98Pe2qsCIcbH6edKV2rf9+Eveby4cD5tM9Pteau8vVvA/krUCcFwB0qX6tkuVJUJGqXAn0WWlUgbPy8w1ikC/HpjQkbha+ynbFMoJE5LObI6qC8bOrD+KjRtBWo7liDtAZRSIh5Lh0ILBrhP9CBtuwq76R9XEbWZks1SdYz8e41WsPVVNOpMA0lvRMFJ3qt0g7BysmGEwnKWcDPhcj6Yr0FuEQahU11x6Mt10QNZ5CThJMk9BYyiTC/cSxT/j47K5tB4kcPSYQ2ZAzgigfC7mKQFCWpU0mt/rbiClZ1gFB/MiGI9az3WKycDI4nefVZstBqj5+XoE6bGWCRuDUgzLejg50qNoDfiuRSJD4qnNrBDR3fTqJkNUqXlJrRTmmO0iuAZZC2wiPzwhSRmpLOShzrQVTPz1E7QgZGUfZsWu0K/55EvdvixC4uFxxr/49+eTWJTd7WwICX8WOlmpWbIRGs2iYlubVapqVtiK7OLXhSMlBsM6Y+CWYlG2rW2btxN7WeMVsVTLYqmw7uZBZ9cEcSI4aBR05VdNcE1UDpdWJsoxUIxzhKlXjqbjFtLQ6VTAtVf3GyRKyv4RoqLWjaCI5Q8gJ2sM5Kq4TI6JDfC0nspuW8EmxZ9W2TWa09Ry2waTgHMm29K1OOGmPhre3rvIdX77T1etNetTA5LL0NHC28zbZFWsh/abAVlNeI7VW+jlxgk3hcrTVKgXmHT8pHU6cqhA8OoQs6yytGbbcffJdP6l/ic3Pkx4du+J/j7v+rKV+c4bDheamci+5xPU7Bu4uEd6HI45LafgWAmHGB+GvSxRAExuGkD5TGqSu1UG60jcldel5lXUQE11KFjOFGOWtAvxVM5hg5SC4ZkW8TuqWU9QOg3JwwNZVm4KgW4mEX/tZmSmdYDtqtvKYomx1IsYhpzdpbSKZkTKSozjBJuVzN56JGqaTBO2qRiJYW6rYipLuksFVw1RbX4ognIjzHxMhlR4a1gNcm2fXCL6IrKdRi7qblszlgUat8cFMuj2HbRDNOovNuNtaSnrVqZzanifQUiDXLAgOEmwvQh0WJNeLVI8UHRwS202riSvWQvptKERcJr5GwNQ6etaJ5Eo0hSNshy/aaqTgIJ53/Kh05bQTbtgay3USUZBGPM0YYYtg/LFrtKv8nOQV5PLlLoLeXV8D7i7X2kvMMl96jGSrcnQaRr+9QnnZROMpVEVSWoIpmC9nI1dsdcOvJdJ/lpJFgvXr4xbVJ9csnES2NJfr2bZOCLKFD6ZzsHUYRN+TMT1qftGJrLgecu2nxhvHcqRnLjGd2MOqTxACqM5WtirkSoCMYHoiFXNQVYqlh1Y7OZn6iICazbSWKuYXCRA/cRWydaQpwscxEQfLQ197a21XrImm4CObtyBYxVeUYHv5KpFJo0OJOkLEgz67tBQpsLW06tCJiWapYHucQGWaC9mIyvLXZ7piDopCbTcOu9BAI6vseSESbdX21mHXCIJV4Vw/V4IRlMpRk9giMOvBpiKIgqdXHZig+udtVFyZtRDYerBJaD7cWhRfsn+lY+wa7So/J3HhuILcyNxFkDgRf/GrdxfMF7VEct3XSJB3oOqD68tjBAWQlBQKGpGQRJdgaNSyDQSNrLXkKxh+rQVWMrurrJh49FOuRkI2aAMgFjW/BLROaJKITJ4IUuG0zygVa5Om5xePiushg/JbGxXZdYRo4mOkZHaxnbDNs1WnWGXXiYhD4E62eP03sTyoKpVy6cRddewnDbA0COZBhKaImvHPkVwwRV1m8Mps+jKl6bOVrHak6b8GqwjxzJ4qta6c5FasjYHtq8T5Vs1FzSM1suWLraKRJCbL9nQaf0U4DLg+9HpcRnJQ7WWBmSX8etPqvVKQXOrWSC0BnrQqtkOwnDrqx9+ihXJWR872YCuuDvwMWwc/R8RtLIcQwYq1BwulvSQmgjN2pXaVn5OwvFpBI2xxI+svS/eNeam48b7PvBUt4vtfX4YgnPhpUuQrkSmphbLM6tQU+REMTbSWHBszssq2JUz1Uy4RR/Mc1DSF5l1GrWKdGk6+CsvPuXkCdbpUTPqR7Hn8KIIyTo0T0cnsQYI+fZ36rPPIQHbzKNtcqWUQjDiCbBFsxygn5cSUWxuruStmKJZ2Xntr3QYJ1gNkSTAVw2ya6TlHLY2l/aclnYoJ4ihSd1GIlLvOhVNza88S0qpZWwyniRtRjWB0KrMeneejn8i2ioLrsa8ITXKGOnKO8FaCGBq17HAtQfykVbEdAin1TbkE7cH09fSMcOtaJIdJq5UfKYdykIprvEZI18khbJ9a+gRNT918NUuikbFrtKv8nMTd5f6tlxvkUsoh3u70hagCVz+aKUe8RSqalbpwjIAs4aRVtvjSYApBkJS8cmmmfSmBSUp2wwd5A20DH4SQL1tNNtNlmebtUIdIOowyWfjOzlL9hu3LZb5YyM+56eRAgpfI1gfUyoW55dQvsnJ07LA1E4fdPAKWUQbJbYPkcGqtHIKapq/HKAfclksJRcCaW2ltKB347fCrA0ojsR5pckGk4qyaornugg6OlMcFKtt6bg1XztoqNE7GHpK79gxB/hbbbhXHAfP4jKxMnDymC9HToGe6PWeCbUAQ/yiSQ6uXszKD6z0Bw88xNoVMDdaja8eYCLn1/p9gbdhlk6riW7Q3yCgk7pJjZOlQ6+AknkfsCnT3/KnVQmmDLWVrZOwa7So/J+UGg/nqI3JZvdnGfWdyTcUaWX2utUtuPLd8fWESwVySaKSms2yl0yopOOjj27C5tQ1842kD5SMmSBwa2Io2THui73Ym8qsbCviYHRJRGT4RnCzPa4kwcWSam3I045JdI6ZU2bVEfUA1XplHnIrhWNenk9O2n4o6nBjkfH30cNox1iqiNCc1Ao0IiG/niSji4VuO3ZxVOtzOW4eCltsFpoc1AhJZj7oSIuUlaVJBS9cxV1kjaTVMq4Auc7y1ED5Oco969tzMqidmJIe5ihPBb893y8SpW+dYOwTXlojUeDuccwx5eyzVX5nnaG4mJVhfk/WQfXwsm8KR3xpmaaFI6Z+g1eudBMm1JXdroTjEWw9EGqfiWlpExPsAjQtT27Y0WCNj12hX+Tmp3eAjhMnV9OLyzrDkQrOVlxnjBeOie4l5PeRkeSJOFmSXMlmSRa4vJ7i+M+a6W/WTC6Zhd0NTYWXqh1+D2bKiWLfg55cEUQXJa4dEcLJMqyxJyUnW0yaCI9NcBcEsU8j0OoIVq7iCBNcvjvGPOA3lgPg0QBCRdiCgW+EwnQo49Nz4tc8gQXIhpB9yjeDnGInkcBgctZyJbdT4dl5nMVLVTrD2pkJGcOs8vaLjkFuPPbLBRMIBiVQ1CS5rG0lsUuyqE3LOM7dLBwIp7alVhImDIavaeg6K1OWJr1TF2pIVeZo1ngFPEPEcYIJG6t249Z6coLnwnUXHtnXWCEiwKfAsCPKw0jN8ImvDEVlxPdgjpsq1yTpvTiBFE1k54loiDbRH1pg5NPn4Y9doV/zvJ3HzePGqwxVvCNkbDOLjQOZm18jWEbn3W9kjrOUaWldBfF7Rpk9u4ufVV2blt6BY56q5+PXosnQQMA3n0PiSVzlNf3XgXzJUGkihoFsIxsEqoU50hEecxNE0iJMZ7cet2tuWXAchrn7QwWu8RXCqAkEilaO/xlOlzlilzjHKVQ1fx62jXCrmoNZbcSHaNolN2VnWBmDWSSOSp3Pes5iGT7ac5cITCDNO3cp5BpPuBQshufVFYNnmrSKmH3FWrMwjv+ElR1qRfpoCkSOnYju6OOflVr4N5Imshba4nkAi9WvCUUu16LpL4v/5M++Ec6HNv5/06NgPw993w9l+X8i9xOHWilx67iuXvkXANQLyYqCvVPD8f9eV3KbDFq8WaMP0QDxLqxAxblbdFRknTL+20jDB1GI36bV0m6tWwY+yJ6mTLOZiWQ9NDinEI5vdNVLLgerXokH4nJLMdB5asohXQdASxJNSdytHP+JoGicSMnFnhGM/RPTvFFjGzKEF4dQq9py4uUbYIsVIUyARhap2FDcI2iG+Ijm6c58UHNVADIXWZPgNM3tuhelEckS1SQgtAtNH0KrkmSYogQjx9Wnm5tSUmlgjYBpOMH6e/raBKIg5AZlwkpItOkyrLkG/YuSChUBK4kTEOm+YiEhmaQqIlEgnYbZIVdOXgwKaaxaOhdaveFtEZK3uEkyHiQQht6OLc46Vbxtq6qfirZgzTP8IGtm2BC0+tDpCw4iPXaNd5c+TvvqNb3LnuHzcSy8it9MIF1eHIJfbC4rPpWeLLwr6F0ZUsEqUXVZki5eHHpLbdOihCiaethOpuA5lOSeKZpzaQDC7YOsKXGep6Fyt55ZV47diJlpriY4mOZ2ngdrJOgu4nsnlzJriUqtBMH1iRnAM5jFVER07b50YrIOHxrFXjrsgto0bDNZOZMbJVhwbSGJKgyi72wZsuRVJvNPl3R+z1WGJ3OrYYXTWoAg/u03hKGXFW2nMaP+Iy7xQ+QhtO1KcTz3qoIR1RjAtVeZKC+ZYVmfFbOXBJXL51O1ioFB1gm2Qike1orw6lYYC5TRPuN7DWvekBxGF5pyfQwSPaGzN/9/tSu3q/74bS+5lInGIt+9suMSg/iURFJAiPcr5hqkiW2TRQ82FzC5B0SBvbBoW7TYdhlZ3W2nIVROMWm0gIlVZQrZQVj+YYVMXpv6a5exVv2L4FTNRsFaEQyIoWR18aTi1YpvFM0yh2gNfTJMVvss1pcZFlc1N56SEnBGcTrWqiW+cTow7jlluqR9aS7TWKpg4vrIScs4ya7ls1WeRRG+yauqHc5Rb0UQPud7G2uRRBF8FL7lBz6SVMG5uVThKWbGd/xbrBTOiQ24jr5EVyUUtUrSap1xRguTMmNPg2BMJM4cQWhKjHE4ilda2cksTyRR10q1Ph/lKxXItKra7EYQfzYbr3dteQnSo6GgeV61Vn+n2y0Ii6hhMJKOtSKLiLNNPPSLQKmPXaFf586T6/3fjLnJBuYVc6Br0JcGM48DhrovJOomQolo0ebVw2OXG6yfY9OU0QXBtprZN3C2w7hrRtuNsEU6Wbbps1eqXoHXTFTNyzrdWCRJRpx6makQiVY8uKcbX006Vtdx2V6e22tpeI8ldW63x9Ll2kq01Yi4pzZfZTlikgZxe21IWBZ17RRKxdjjWOk8U08k6yBZPCoWWM8/INoltdYirkJTVOSLUWcSoff+IVMapkUwh1i3QeJy8GjmWej2SGwdzC2a90iK7WW4JoFIVT45LzbynVedIv8ZPlI+wpUTt/JwzeM7TCOlHX9BSKI7p8atmgrUN8D+87wloF9r8POnRsSv++25Hn+LxuaZcWe6ocRAO1xeHYLJOIqZEE+T9UYpd/RqETMWqoKBBkbhZvGktEhFz624idtXKnaB8kQOJrxocWk31FWmyRaybLEQ8Z4NWMb42IBI3NwdIUOVIKdtSXNasyJ6U2+4aqU9nfVJG4NcU/LVV0W8r2b5TBC4AACJzSURBVGXJUdRd4pykdxUfQxAfMnGWasqMX29ROs+1qeeQICnKgtF3eTlavR5Iap1gCmVkl63tFdtTqN+dG4yUbSBFBGuHXHVsKSlb5yTeDi1Ow/OzXXfpmd5ou8b5Lw/a0cBcFYKZMXfASfFVoHM569NXxHSwHlGK1mV96YJKtXHaMQaTCMFHWdWij1qrmwhNRq0V3UZAm0EHVAF0GU6rC6axHEuaDCdq+pk6FUnRVzmaYbLUkWPW2DXaFf88iZvHtfbycRd561zic2vFxgHdusQBk857EoTALu8DfgjyTa8K0eGVS9aqg0P/cpIFIcwoQOM9tESCSblXVD9T1HHagGvPNQJiyq6DtD5rukgw6StW8XS1HXyNXxI52W2zWJ1mEjFlvQPZdYnlfuITrIcQpg93K9KCLd14PdJLsHZ+crDpPPzViaD9u7QxLYLbEmJ6UJOspl8RfpUNpts1JYn19LZb27oJrrTVWTl0SxBcq7tlHKdegyOsImt6mjk66nZ0dVmz0nztVsxWdUxETWtqQbe2TqbQOWlgRURIVKddA7dS5f6wnnnmSsNVvHaVEdiaP590pXaVP0/imxUuX/3YzmV1SdxrKjZOtvBvjdT0IBzivIRGIOT7P9PZqgoib1TNajomyqlZzBImhUKzCjpryiVIrlJ24hTVoS6EtgXaSbZE/iOCMoLK1q6sxZcJaIlUQdDgtkOfJk7NVbASktIKVWbwKJcIuTbP0kibxeqJiDmi6NRdgjgEpSXdb7jbt90+3FWESA3aSc7QFJdH6F1qfjonXWd9doiHduKAkD1blnUurM5iiYjXp1A12SVY9SuaSwrLKoVzlBJMoYamu6wiJ8eVyOo0DkvGARMPZssIp8Ex1hNbsYq0dBwq+kXp6KhBH02witc7kHHAnINYR/Zx581S37oE4ajGMgRLtAbwLaRTq2yxtWQihiBT5BUzXuveittDq7VySh41jmSyWlc5Hwjg2DXaVX5O4hLXLyXeS+Isvb4uE5ST1+ZCrOlB41x9Iywx+vEdcCtvCFjfmfoFqJIrv2ZZRSZYCWylYi1x5LdcHdq2H6VAe6PPFqk9k0V6Jei3Kq0WhDpUBBPcZq1xs/KY8rjjqFwjt/YWx9Fw0tjK16+7kClEXX+dSLyNJk0CWx6aFde7t2KtuF6k3MDISkghj86UpCfFOFibaUe65ScCZkyqgzacXfw6wnr46bCpGWyoICmQ6TMKLFdyw/xy3rB+STGCsTw5rssjGWd9NOukLn0Q6z9Ewm4VaemWZmmErTzHOGyB9XGIa8R+xJyDWCfFgV+bBPNkWaocp5ao6FwUquKWI9FgZpcZH/QJRlA+lk5q9bWTGklKza21QMlpiaWdt67sgXRPZuwa7Yr/vhsOyF30Xrr0Tnt9CXKDZdYvgicIH7IvmMto5i3CSS2yINuPRVlWKepKI1J11Dfd3Yp1IpmoVULdkpxy6MuhKyLoJ5LpQrDtW7H2rGyCEtyKfiqCLA3my0cVpGF3w29ZNU7Eijjupsk46SoRmOSmNyJHVegwkXRbsTJrPL82WE6RNhoN0A8R/Jw8jrL1xBqSiBM1FUwHSVQnkbqMQ1YlBPMgwNTSCW3NWjG9gR6jR6QyVXDquwCGn0jUchpJz1YIOOx65pUcwppya0RUx5byZL9PzLD10bCFY/NejzRghKXHiB8Rlorgc6RrOihfP0EdFcwF0eQcFEG2RZIbXA/NFCqaIhKskdTavlbBHE4VB9kiMc7RIUtQyqWDUNdgrd4OlnKtN4JuGbG3Nr60tJ14mFHgBKw1do12xX8+ibvrRfS+gtzIxLmm3PsEQ0v8yIdZl1VzxUargpGqTlXbttSQV8svXlq2SOHFqyJgCHFIr0NVRzyfbkXLIWv1KNBP+twWCla1dXc9ihpB85Jm3M0RRc2WbDX64lr3CLcdtgZsrCWCxPNE1ptge5JblboVXJ9dOqnBCwlrrTzZCzWjEHQudRJfZ3HYVbmmr7sihFwA+Ale2PwR2tIPRIfLRof1yrmFT8PqOylYZ0n17Oas2pbKRo46gdDE0w+o+NZRdnVyJkRaSk1cawUzS42vU4QW/QySHnD8+lPF015rrKFV4MTB3God5gTSQLZIWTuPYGjz55Ou1K7777txj72C3EjjIkvudw3iSzPORSfIXUfBuK8Zd73Skn70vUul0YlLFUDU2IomGAXqutWybIy4jdEhS6yqkUK3mevu/r+qEmaUEwnHWrYNUi7+SUQRqxNkiQPWPlvFilUNTBvZbQcI1giE/DbEUTMRzxGlegQTCdr/Ggd9ECTmzrS4hezH0i0FMkEiOBknN8HO2TIlmi3RZVWuw4o5iiM8Iihe28A/SqGHGgkhjUUtOolEv6JnIi3HAiZ9W1c+gmkgtGTd2vxR3Jaqji3V3wW71VfHDnOqFJJG3IeIzxaEzGIEtLrkelZuJVGUvEUVchr0kH7cigh+jeCTUo80jmeCs+aGD7q1RRTCT1xxi+pnZA1+BkkPnnMVJwIHh0OucbG+mNaKQzw0S+sTh9AaqGpGGipISnDsGu2Kf57EFeQXLW8k97Utg9xOgmS1OJEjp6LpvAy1Ig6vykrDWUUg877h8zqR1Zir1NpPRqhSdkLQpfGqs8Uo4JPrXCwtwW7OsEXCVKrt2kb6lFZrxZejmpg2qoPV9CBxFfS3zVTxSrtvXNsjDmJy1qGSHk57Rq1naG5lahNZHl2Ptejl2M4qRWuhqh9+4k1BdIp0CIa2DlhrVaZSCdZXZh05Fc9PI7lxUq7VDd/GQk4bq/iKJLY3NGeCg+UyqEkEXwJbeeK1upFgChlBoba3TmeJyjGyfukgJRE4da6KEFJUqSiAxlsQrOIgidVJt2shrB5p3aonVkuw1cS3pdPqUc9ieiMx5GhmKSeR2iciT77rJ3EutPl50qNjV/nzJL5j4+bxbngFuX9cR5fcVJci5FxTLm7dZWlwjYhmqamIJQjyMiQrVRQnsfXAi6RPlkx7tlCTShw0wlcBi+LTgFuZ3WVK3IqVSbptI6JazrBFZIIm2pK7fj/Hf6aYS0tErAWZCGOGgyNT3yVoBA5ZpihFPHVVMG7QCOk2w1IkaIq0e0VrOYj61WELC3+tmy0UCIL15KWhUw/cWqGZmOuRfqKsQjDnuY203fZY65OyDXy27JMtCDrWNVKnBjNFOgQtRDyReg4rMy3ZTH1l4oCOoyxot8kNmmKJ5mSi7SC2lEOobdyKMDmENrhP08MBPYRoumXdPHF3wUQSJ6X2SaSdQA4zjk8nHHwFHS3tgTUCJykVJeR8oPm8nAInnARtlX5qJITsHhXCyW7dcgTTxVywJm48fRrEVxOHI8WpUiETtzpLd/FxUitLHSK5TuSioyCRsWu0q/x5Uvv/u4nE2xLjbZTpC+D7oNMQJre8RXg3eEmiKW5zaz+UIH5UqDW5ElZMXfi8cvZpYzbZ+OssW0Rtne4SJFEHEfpx9hyCyloK6YS8arJrMzjbVnUqJ2MmCC0l5Bis5BO/YSuaAVvb0OoxNpEtHknR/Po0g+kHjEKTyhLaSduN7BL95mSZ6qSkw6a/dlifDluJrJwquJZeCyVSS4RQFcLJi5Mm42zTa2n99apvnXY+5q7DttKtN/lqRiFxShDUmo4p9QSOkNwqu2K6Urzmti2l1mbqZU7R1cGaYAYxN/FU357MhUhWlvjRpNs6TiWnYvrMdWqaceoXIoK+2vPnk67Urvjvu3H/KrYlNF4ArrKf63kBRC4x8RVhgtzmkLnlbOXbgmCkeGfMbf24ixR+BCHjgHBEdqNwhKRAyzclLO0TBwXQJluWnDVeUbXa9uWoQzpzZXYdgyD6KWekkht6OEnPsbA0kqVkl3lkSQQp4XHdySy59flyaBGBLy0ROUlUPwOm4RSFVuNmnSPNtHtlw5SQkB4qVoU0U7vKkjZI2RLc3W6tjmj1HJ0NNP21w3ZRE8lo5BqRn3MOmqVCCjmaJ1ZLhGBuZgwn1VNuO4jpBOsWDg2HcORAa+djt3VYlkbyjECyDJorRjx84+jIDF+d2s8JejKkpFDF7dPxlvrnrsglmFmUNWVtJpppoDkewiroIBk58bprooQV2cXquQUJugUSUcpHENmcg1k52JxJHllQJ4lpUhH4bo1do73105/+9I37cO2ll1767Gc/+1d37W/+5m9ef/11/Z/+6Z9+97vffUM6sK/+3//t7T/xo//vt/8J/Jfvvv7/fPuf3/H2m2XFt/3oW7/73Tu/YP/zd98KgVsO8tr8m7ff+T5gG4FJSrZA0tXXh/ATb3vrW9/6FsR/7Md+zNeMJQ4cESYcvjLT6qv/33fphP9I5IWhEBwRJsruWm7tjenUUSpxmvS/RFaFI1+kHzQ5KPza/IrkOkU7anbr7AYVp7EMXouG3DTpLekenaOBENK56SwtTf+kMIi5/Adf40ltG8jzjQO2SBxT/re33pyDVcRalFk8FntzBFp97Ef/J7ncE/yG6OdeKc6YPl9Hs2hmrCP4KFGgAZa20ZZV2UienU3WrWBSKhlsR+eyVaSrH3/bncvQJvWXGQj813Sogh/BnHPQrDRjIX0UPMD1BoYWn//gWzTV44DQku4yWW5tz1y/lmaQ8sXh5q46XYZFhP9wWPIFoWWtRweznZtL8aixLXqSPn2W/FdFWpU0zK6vEkt1kpi69emn7ZAzKZp563V8TPynoB0mN7uJV+VadEVenJzz0bnFRzwXyYrJkukWS9C3spVz6vrmRq209KPvfMedT5wn9v38sjj24OyN/MneO9/5zldfffVm8T17+eWXn3rqqZvFgX39v/53rjhXE2SpA3Kn+byfLb6S+vGfW9uQ743c4lulXPEjTBWW4aPgN0ytB+uydafRu3EwieEE3V37ScQ2anqC4pq7iqwRnPQPtqOrEaeoTuU4qZEcuOVUYFm7BY80o3by4ExPChFrkYXf5jW4FblXrEVB21bfWm6lDc+26dT2VGiCW/2WG0F2w/fEslyx6TdsT7+Saw8N2WqXJLvp1qNg9/yZgvXO1NL1eINsYau/4q11QdLlewNxiGSrMrclwm9TE6+5K7asunuusKYg1R4ieOtjjY6HXAWDOX/Tc0TZUioKatYqTaF1AravG+xmC6wKFRWxIi1FpC3rLOu8OGnGFJYtK5jSMCkBsxbFSVc6sdAu+f/g3vcvi2MPzt7I33f7/d///Rvve/aJT3ziktvAhfOWg3ynQoSLyNK7mK38KJVb25BbrgNh3eVrQY3AsQpL0F0UUlonSBsgDbCkE9DE2lvQ3dpP9GtLDkgKu77bwTDhRETnRBYn/aPsS94iVsxcaRspg4iET7z97FoFl6ANWCVSEQdJN9ISbbimE8eM4EAG8eu8CSZxi0e7LV77BO1ffWvVSM626aQ9TkxCjq7qZzfVa65orWTlYR1hlF3SVY209MiCMNt9A/lVgTZqouS1Wxzi7MIkskpVhOAVsiscFMDaW8qB8GGG3zji9otAfSjQINi/N9CItJoFSmvlQmtTt9xgqrtsTzbBKNRus1uXNlyPjq7YahGbx+RXHZZrlWzVdI/ILZWVigKa8utWVQDdDeYZyZQTjHgNKmIbVGSZC+bRRbPOss6Lg9U2js6hNkAtG0gVlQ3KxGGLI5Kfurfaff+yOPbg7A3+k2LtszP+448/frM4tv/rG/+N++fl820hqOM1Xbd4E/LNBPd1i+t3GzWuYIJyWumKtMHLgwPBrJUDOkhkj9BykQreOtQRrv2vzhFWQpUC7bBGfBytbntGJ5jEmm6VNkgleyy1mQTDOcLtNThpr14PkAfannvVdJme60kGDZq+7dn0ozOs8cZJudVpaKI91NJpwEQwWfhHl1mdk/NHMOemlOLJql3pu5t0ExunRkKuqPiaoriyIacKu1j8yrkcm7jYjuh8KdbZ0w8TtcOUkDjBpnOCEW+JtfQ2COaxrodcUdmjZx1ZaMnKZUtFa8HBJKer7dHVhs3aEiot1YNmsYtjUCdqVfaSnydh9/fL4tiDszf4z3H/4R/+4Y1391PzhbfB94Frx3UU+czuFkvfh7bFNSWFS4wj8h7GF0OAX3dTqwatFX1aqkVB2nALPm8RucqGTxxn+33PinDQXJltKHEdbcW0aj/gGjnCMJUimKWlEwH9Ype6brVndITrIKaDLdLIPjJpYIJV6uiU1msAOrtPLc/a3VwPkQeqb/WmKYZcDzayLmFybbY9swvz6AxrvHFSrkXqREYcCqeV1k+Kai5xfNb+mlHRrMxSpTJRzi1duVWPt44DISJJJMUXKhOZla749RJMbwpGlvRaGkd9MZrEq185FRU5iqRKJbTHfb5Mk3Yi2v96mC2OH51zpIq5eeLZwrfEOleKcrYpbSRYnxFLcrfPuo5ZcxWsbTgdhKppVzm62qqYuWqw0tIAy9q/KKcGW3UJoV1i9/fL4tiDszf4c9Kzzz77xBM3H7F/93d/V+dWyxvSLj3B+tU5CA0nN5gXg2XeW3aN+44ZzFsqoo+zBlOa97AuK1rOrxfSUh2r7R2hBNUSsQ3E00+w9blFpNqvGfeK6YGlQ9GYpemqnkCrXrdAdFpERDDPSCSuMssIpladGkKlRSE9gPKJu5VxKl9OHi5LgnWpgrXa+UDYaoJESGmD1ysk05ujgj4HAgGnJoJHZ7jilpnScSwB2U6IOKxt1ENIoiM7aQYPXzSoVPUtB9bTq1spFExvIDTj6yCgNDphGU2DEoJmsZWLZ5NidolXv02a2eEcRcR6DkQMNrWT3XoZKOEIW1x3yUrpitspzMrI0oiARtp7mpRzhJbHrSwVawQawXoNMkhrxmDD7OLk6OqZ1wEzL2SMieoJRKG2B9YsRWoPyUotIpdY/WXx2f/0n3XG3kB74/9dAH87lk/Nl/95fm4ht59r1y69r0SNiFz0+v6cL7e4BlGmVr40pBavSoIiTeqTBUYNX/OrDJH2mgXpsGoayVZlrgo1Uv3U9STbiV2CaVsFfcXpqjKpW7+yJOg4ISeyCqZnyXUr6SxTxdL6t6LH0k6yIpxWIq1mF6zNQ8bPEVU1y+G38zddTEupkvZqStrIISSyckSL1ggIrfVghKubojq1DVNEykWw0uJk6i2qFgXUIgWuQ9XegmkblI8pC4FOmqZOBJOF1HpJQo6PQm1gHRnOUWRFBbNMisjgdVkFPZP1l/+KnlU9QxzS14eynUKdHI67LC1KcHtQpOTBrRGQJQ4REFnSQSetTdY2MmZrxmArkV2dI6zKLNXBWSPwbSy18oK39kQ6ycngS7vQ8svikz/zvxsZewPtjf+cxFXgs/PHP/7xm/UFxn3l9ntxg8Rza72UxvG5snk5xVxlse2uyOtRl7VurQWujYkkplarm11yaxURfTmrjgTV7JATgNYingCR+hpHszbczu1W32ZU0FccrBx6SNGUi7N2shUEnUhOhjICchQQ2BL92kQ8zBXZxfHa5CS3tFoCJ63yn7s5FrcsbRYKZpEOwafgbvg4FStHBTohXRF2iROMw26LVCdfrO8JoyymeiIQnJp4Xj1wy6eNqgbmTHJW9QzpAUdCjsg4QXebmpxgewT60bSfBKWBSrUOwZTQh5BbHZQJXhJJ/6nSjihM8KTW9v6AOUwx5yOfXHTwFYG8KidSdQxCqEGWpoB1N7216klEzdHI9Rw4BPzQ5EQTzAVIz27VyyNzHQTMabf0tHTkwIfZ+hfdanEieWr4uW8X2n38sjj24OyR+Bc/X3nllcv/PP+nf+vOV+SxsbGxsbErsk//6T38antPvyyOPVB743+ehM1tGBsbGxsbi80vi4+OPRKfk8bGxsbGxsbGHkGbz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3t7y7/8y7/cuGNjY2NjY2NjY8Xm50ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3ubz0ljY2NjY2NjY3t7M35Oeu2111544YWXXnrpZj02NjY2NjY2trM30eek//H6Pz/33HNPPfXUE0888eEPf/iDH/zgY4899vTTT88HprGxsbGxsbGtvVn+/26vvfbaRz/60RdeeOFmXextb3vb3/7t337gAx+4WY+NjY2NjY2N3bU3y8+T8iHpE5/4xMsvv8ynQ+xzn/scH5L+6Z/+6YMf/OArr7wic2xsbGxsbGxMe1N8TuITkh+Snnnmmeeff/6pp54y/uyzz372s5/V/7M/+zOdsbGxsbGxh2wf+9jHnn766c985jM367FHxt4Uv+/23HPPff7zn8d59dVXH3/8cYOxd77zncR//ud//u/+7u9uQmNjY2NjYw/R3vKWt4DzK9EjaA/250l8NOYD8oc//OH1d7VeeukltrAH/Rter732mh+SuH/rhyTsQx/6EPjlL395futtbGxsbOwNtHe84x033tgjYw/2c9Iv/MIv8PnjhRde+I3f+I2b0Pfst37rt/xo8sQTT9yEHoy9+uqrOr/yK7+i0yx/gvvrX/+6ztjY2NjY2MO3b3/72zfe2CNjD/Zz0i/90i8988wzOHwk+uIXv2gQ+8xnPuPfxv/zP//z7c94tNdee+0tF9hHP/rRm4Sd5dPP+9//fp1mTz75pM4//uM/6oyNjY2NjT18m58nPYL2wP8c9+c+97m3v/3tOL/zO7/D5x4c8JOf/CQOH6H4IHWHdGCP/cS/ufFO7fwfQPrKV76iY/XV8kHtiDA2NjY29kNp/PKRv+jTjF8R3HqYvzTMz5MeQXvgn5P4FPIHf/AHOK+++qofj/zxzxNPPMFHqDuMY/uJx9764osv/pdTg/DXf/3XNwk7yxV/3/vep9Ps3e9+t858ThobGxt7U9mf/MmffPiurX/RjF+q3Pra1752E3rwNj9PegTtIf19t6effvrLX/4yzvPPP++nJT4kPfvss3c3H6xx+63Ih6rtj6/4doE3AYfePvGJTxgcGxsbG/uht//x+j//H//u3/rHWF9++eX8qzH5dYFfFPilweDW/PXl3N7//vf7R1BO7C3z990eWbv7Dy4+cHvxxRdv6t01rsLNxoO3/NSKz0k3oX9txCXAvAmNjY2Njb057Atf+IK/BPzar/2aET42/ezP/iyR97znPUaOjI9W5p7bJb/kyeSb+Zv12CNjD/z33bQPfOAD9adHf/zHf3zjPXjLb7flDyo1yx/fPvqNubGxsbGxH1Z75q7h/MVf/MULd/+g0h/90R/9wz/8A86f/umf3mEc21NPPUUuH27O7Td/8zdvEm6z+fNJj6LdfF56wMbH8/r3/7k3Nxun1rKOjE9gNwk7y4+Lnn/++ZvQv7b8TPXFF1+8CY2NjY2NvWnM33fD3vOe9+R3P85/ZfmBm0Uv/MVx7GHaQ/p50ic/+UkvIpcA5DN7/WcCTizX98T+8i//8sbbWf55pC996Us6zf7+7/9ehzdEZ2xsbGzszWOPP/643zB/7Wtf++Vf/mUcvkU//2NJD8jm50mPoD2MP8dd/0Dcxz/+8fe+973+oOib3/ymhBPzp6Dn9uSTT+YP320tf4p8O6z/3xI+wOUnT2NjY2NjbzbLrxTYQ/ubRjH/HPf8SvQI2sP4nMSHGD6k54PR5z//+eeeew6HW3jrPw3wA7H8lbf16qeZL3zhC/4W9djY2NjYm9D4fj7fmV/+OYlfX771rW/dLH7kRx577LHXX3+9IsGPfOQj/l7Kic3fd3t07c5vvj1Iy1Wrf90sv8P1cP5IUP0rCbViPqXd+pcaxsbGxsZ+iC1/603jG/tXX331Zu/Y2l/lPrL5+25XbQ/250lf+cpXfu7nfg6n/SzxlVdeee9734vDB5SH83+ffemllz74wQ/q8wI89dRT1PUPP7Hk8/v579yNjY2Njf2w2muvveYfCOGXqk996lP+QZFnnnmmfXja2sc+9rFb/59XH/nIR279x/nm50mPrD3Yz0n+jhsO96/9f9yee+45/zf+D+23gV944YVf//Vf97NRjEv5V3/1Vyf/j7mxsbGxsR9u47OOf7XIX6ryG3B8e3/r75f9oGz+fNIjaw/2c9JLL730ne98513vetf2pzVexKd+7j8++a6fNPIQjO8b6OpLX/rS+9///g996EPzY6SxsbGxN7PxK5E/QHr+e/9LBn6ZeOLuP0kDvvzyyw/nG+n5edIjaw/jz3GPjY2NjY09gpbfcWt/COSTn/yk/8e3W/+/JT8o83MSn8z4Hn791wF+7/d+b/6m0Rtl8zlpbGxsbOxNavk8tP4WW/7cyIsvvph/h+/Bmf9Czc1isYf2cW1stfmcNDY2Njb2JjX/FPYv/uIvfvrTn74Jfc9eeuml3/7t337HO97xqU996iH8KaUvfvGLfCz71re+9VM/9VM3obv2ne9858d//Md/9Vd/9SF8Vhvb2nxOGhsbGxsbGxvb20P6/5aMjY2NjY2NjV2dzeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbG9zeeksbGxsbGxsbGd/ciP/P8zGAEKkcQVqAAAAABJRU5ErkJggg==\" alt=\"Unconfined aquifer with recharge\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0)\r\n  h = (h0+hL)/2;\r\n  xd = x;\r\nend","test_suite":"%%\r\nL = 10;                                       %  Length (m)    \r\nx = L/2;                                      %  Position where WTE is desired (m)\r\nh0 = 19.11;                                   %  Water table elevation at x = 0 (m)\r\nhL = 19.11;                                   %  Water table elevation at x = L (m)\r\nK = 5e-7;                                     %  Hydraulic conductivity (m/s)\r\ni0 = 6.9e-8;                                  %  Recharge rate (m/s)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = 19.2;\r\nxd_correct = 5;\r\nassert(abs(h-h_correct)\u003c1e-3)\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 1200;                                       %  Length (m)                                                   \r\nx = 0:300:1200;                                 %  Positions where WTE is desired (m)\r\nh0 = 25;                                        %  Water table elevation at x = 0 (m)\r\nhL = 23;                                        %  Water table elevation at x = L (m)\r\nK = 4;                                          %  Hydraulic conductivity (m/d)\r\ni0 = 2e-4;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [25.000 24.789 24.393 23.801 23.000];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 1200;                                       %  Length (m)                                                   \r\nx = 0:300:1200;                                 %  Positions where WTE is desired (m)\r\nh0 = 25;                                        %  Water table elevation at x = 0 (m)\r\nhL = 23;                                        %  Water table elevation at x = L (m)\r\nK = 4;                                          %  Hydraulic conductivity (m/d)\r\ni0 = 8e-4;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [25.000 25.593 25.475 24.637 23.000];\r\nxd_correct = 400;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 2500;                                       %  Length (m)                                                   \r\nx = [100 200 300 700 1200 1800 2400];           %  Positions where WTE is desired (m)\r\nh0 = 35;                                        %  Water table elevation at x = 0 (m)\r\nhL = 33.5;                                      %  Water table elevation at x = L (m)\r\nK = 50;                                         %  Hydraulic conductivity (m/d)\r\ni0 = 1e-3;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [35.010 35.014 35.012 34.949 34.74 34.296 33.633];\r\nxd_correct = 222.5;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 2500;                                       %  Length (m)                                                   \r\nx = [100 200 300 700 1200 1800 2400];           %  Positions where WTE is desired (m)\r\nh0 = 35;                                        %  Water table elevation at x = 0 (m)\r\nhL = 33.5;                                      %  Water table elevation at x = L (m)\r\nK = 60;                                         %  Hydraulic conductivity (m/d)\r\ni0 = 1e-3;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [34.998 34.992 34.981 34.889 34.665 34.235 33.621];\r\nxd_correct = 17;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 20;                                         %  Length (m)                                                   \r\nx = 0:4:20;                                     %  Positions where WTE is desired (m)\r\nh0 = 5;                                         %  Water table elevation at x = 0 (m)\r\nhL = 3.5;                                       %  Water table elevation at x = L (m)\r\nK = 0.5;                                        %  Hydraulic conductivity (m/d)\r\ni0 = 1e-3;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [5 4.752 4.482 4.188 3.864 3.5];\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(isempty(xd))\r\n\r\n%%\r\nL = 20;                                         %  Length (m)                                                   \r\nx = 0:4:20;                                     %  Positions where WTE is desired (m)\r\nh0 = 5;                                         %  Water table elevation at x = 0 (m)\r\nhL = 3.5;                                       %  Water table elevation at x = L (m)\r\nK = 0.1;                                        %  Hydraulic conductivity (m/d)\r\ni0 = 5e-3;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nh_correct = [5 5.065 4.97 4.706 4.243 3.5];\r\nxd_correct = 3.625;\r\nassert(all(abs(h-h_correct)\u003c1e-3))\r\nassert(abs(xd-xd_correct)\u003c1e-3)\r\n\r\n%%\r\nL = 1000*rand;                                  %  Length (m)                                                   \r\nx = L/17;                                       %  Positions where WTE is desired (m)\r\nh0 = randi(100);                                %  Water table elevation at x = 0 (m)\r\nhL = h0;                                        %  Water table elevation at x = L (m)\r\nK = 5;                                          %  Hydraulic conductivity (m/d)\r\ni0 = 5e-3;                                      %  Recharge rate (m/d)\r\n[h,xd] = unconfWithRecharge(x,L,h0,hL,K,i0);\r\nassert(abs(xd-L/2)\u003c1e-3)\r\n\r\n%%\r\nfiletext = fileread('unconfWithRecharge.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-09-23T13:56:40.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-09-23T01:49:39.000Z","updated_at":"2026-02-12T13:52:11.000Z","published_at":"2023-09-23T01:49:48.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to compute the water table elevation \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e above the bottom of the aquifer and the position of a groundwater divide \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"xd\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex_d\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e given the water table elevations \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x  = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hL\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = L\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and recharge rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"i0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. If there is no groundwater divide, set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003exd\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to the empty set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs in other \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52070\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eproblems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ein\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56205\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethis\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eseries\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethe movement of groundwater is governed by conservation of mass and (if the flow is slow enough) Darcy’s law. In an unconfined aquifer, the latter relates the flow of water to the gradient in water table elevation above the bottom of the aquifer by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)hw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}hw\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"w\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ew\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the width of the aquifer. For steady, one-dimensional flow, conservation of mass says that the flow at any position \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = Q0 + i0 w x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = Q_0 + i_0 w x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the (unknown) flow at \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Using Darcy’s law to replace \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e provides a differential equation that can be integrated using the water table elevations at the boundaries to determine \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and a constant of integration.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUnlike the flows in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58966\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58966\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, the flows here can have a groundwater divide, or a point in the profile that separates flow to the left from flow to the right. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"398\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"586\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Unconfined aquifer with recharge\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59109,"title":"Check a scheme to dewater a construction area","description":"In addition to supplying water and capturing contaminants, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation  at least a value  over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than . \r\nThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\r\n\r\nwhere  is the hydraulic conductivity,  is the pumping rate of the th well,  is the radius of influence, and  is the distance from the th well to the point in question. \r\nWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 825.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 412.8px; transform-origin: 407px 412.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 65px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32.5px; text-align: left; transform-origin: 384px 32.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.0083px 8px; transform-origin: 42.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn addition to \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/57452\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003esupplying water\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59104\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ecapturing contaminants\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 205.442px 8px; transform-origin: 205.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.95px 8px; transform-origin: 50.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at least a value \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"24\" height=\"20\" alt=\"smin\" style=\"width: 24px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.2917px 8px; transform-origin: 67.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"87\" height=\"20\" alt=\"hmax = H - smin\" style=\"width: 87px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.417px 8px; transform-origin: 373.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 48.9px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 24.45px; text-align: left; transform-origin: 384px 24.45px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"190.5\" height=\"49\" alt=\"h = sqrt(H^2 - (1/(pi K) sum(Qj ln(R/rj))\" style=\"width: 190.5px; height: 49px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.5px 8px; transform-origin: 90.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the hydraulic conductivity, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"Qj\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8417px 8px; transform-origin: 82.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the pumping rate of the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ej\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.725px 8px; transform-origin: 23.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth well, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.9083px 8px; transform-origin: 94.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the radius of influence, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"14\" height=\"20\" alt=\"rj\" style=\"width: 14px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 20.6083px 8px; transform-origin: 20.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the distance from the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ej\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.075px 8px; transform-origin: 96.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth well to the point in question. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 52.5px; text-align: left; transform-origin: 384px 52.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 379.117px 8px; transform-origin: 379.117px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 476.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 238.35px; text-align: left; transform-origin: 384px 238.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"614\" height=\"471\" style=\"vertical-align: baseline;width: 614px;height: 471px\" src=\"data:image/png;base64,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\" alt=\"dewatering scheme\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin)\r\n% tf = true if well system achieves minimum drawdown everywhere, false otherwise\r\n% smin1 = min drawdown achieved\r\n% xmin, ymin = coordinates of the minimum drawdown\r\n% xw, yw = coordinates of the wells\r\n% Q0 = common pumping rate OR vector of pumping rates\r\n% R = radius of influence\r\n% Lx = length of construction area\r\n% Ly = width of construction area\r\n% K = hydraulic conductivity\r\n% H = initial elevation of the water table\r\n% smin = minimum drawdown required\r\n\r\n   h = sqrt(H^2-Q*Lx/K*Ly);\r\n   tf = all(H-h\u003csmin);\r\n   [smin1,[xmin ymin]] = max(H-h);","test_suite":"%% Prep assignment--modified\r\nxw   = -50;                     %  x-coordinates of the wells (m)\r\nyw   = 0;                       %  y-coordinates of the wells (m)\r\nQ0   = 661.6;                   %  Pumping rates (m3/d)\r\nR    = 450;                     %  Radius of influence (m)\r\nLx   = 250;                     %  Length of construction area (m)\r\nLy   = 100;                     %  Width of construction area (m)\r\nK    = 0.1;                     %  Hydraulic conductivity (m/d)\r\nH    = 85;                      %  Initial saturated thickness (m)\r\nsmin = 5;                       %  Minimum drawdown (m)\r\ntf = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nassert(tf)\r\n\r\n%% Fall 2020, exam 2, problem 4a\r\nxw   = [0 200 400];             %  x-coordinates of the wells (m)\r\nyw   = [-125 125 -125];         %  y-coordinates of the wells (m)\r\nQ0   = 1331.2;                  %  Pumping rates (m3/d)\r\nR    = 750;                     %  Radius of influence (m)\r\nLx   = 400;                     %  Length of construction area (m)\r\nLy   = 200;                     %  Width of construction area (m)\r\nK    = 3;                       %  Hydraulic conductivity (m/d)\r\nH    = 45;                      %  Initial saturated thickness (m)\r\nsmin = 5;                       %  Minimum drawdown (m)\r\ntf = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nassert(tf)\r\n\r\n%% Fall 2020, exam 2, problem 4c--with pumping rate from part a\r\nxw   = [0 200 400 1000];        %  x-coordinates of the wells (m)\r\nyw   = [-125 125 -125 -125];    %  y-coordinates of the wells (m)\r\nQ0   = 1331.2*[1 1 1 -1];       %  Pumping rates (m3/d)\r\nR    = 750;                     %  Radius of influence (m)\r\nLx   = 400;                     %  Length of construction area (m)\r\nLy   = 200;                     %  Width of construction area (m)\r\nK    = 3;                       %  Hydraulic conductivity (m/d)\r\nH    = 45;                      %  Initial saturated thickness (m)\r\nsmin = 5;                       %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 100;\r\nsmin1_correct = 4.723;\r\nassert(~tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% Fall 2020, exam 2, problem 4c--with higher pumping rate\r\nxw   = [0 200 400 1000];        %  x-coordinates of the wells (m)\r\nyw   = [-125 125 -125 -125];    %  y-coordinates of the wells (m)\r\nQ0   = 1410*[1 1 1 -1];         %  Pumping rates (m3/d)\r\nR    = 750;                     %  Radius of influence (m)\r\nLx   = 400;                     %  Length of construction area (m)\r\nLy   = 200;                     %  Width of construction area (m)\r\nK    = 3;                       %  Hydraulic conductivity (m/d)\r\nH    = 45;                      %  Initial saturated thickness (m)\r\nsmin = 5;                       %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 100;\r\nsmin1_correct = 5.02;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% Fall 2022, exam 2, problem 2\r\nxw   = [100 100 700 700];       %  x-coordinates of the wells (m)\r\nyw   = [-200 200 -200 200];     %  y-coordinates of the wells (m)\r\nQ0   = 944*[1 1 -1 -1];         %  Pumping rates (m3/d)\r\nR    = 650;                     %  Radius of influence (m)\r\nLx   = 200;                     %  Length of construction area (m)\r\nLy   = 300;                     %  Width of construction area (m)\r\nK    = 2;                       %  Hydraulic conductivity (m/d)\r\nH    = 35;                      %  Initial saturated thickness (m)\r\nsmin = 4;                       %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 200;\r\nymin_correct = 0;\r\nsmin1_correct = 4.001;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw   = [-50 135 450 210];       %  x-coordinates of the wells (m)\r\nyw   = [-80 200 135 -200];      %  y-coordinates of the wells (m)\r\nQ0   = 640;                     %  Pumping rates (m3/d)\r\nR    = 910;                     %  Radius of influence (m)\r\nLx   = 400;                     %  Length of construction area (m)\r\nLy   = 300;                     %  Width of construction area (m)\r\nK    = 0.8;                     %  Hydraulic conductivity (m/d)\r\nH    = 90;                      %  Initial saturated thickness (m)\r\nsmin = 6;                       %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = -150;\r\nsmin1_correct = 6;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw   = [-50 135 450 210];       %  x-coordinates of the wells (m)\r\nyw   = [-80 200 -50 -200];      %  y-coordinates of the wells (m)\r\nQ0   = 638;                     %  Pumping rates (m3/d)\r\nR    = 910;                     %  Radius of influence (m)\r\nLx   = 400;                     %  Length of construction area (m)\r\nLy   = 300;                     %  Width of construction area (m)\r\nK    = 0.8;                     %  Hydraulic conductivity (m/d)\r\nH    = 90;                      %  Initial saturated thickness (m)\r\nsmin = 6;                       %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 400;\r\nymin_correct = 150;\r\nsmin1_correct = 6;\r\nassert(tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-3 \u0026\u0026 abs(ymin-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw   = [-50 -50 100 200 300 450 450  100  200  300];      %  x-coordinates of the wells (m)\r\nyw   = [-75  75 200 200 200 -75  75 -200 -200 -200];      %  y-coordinates of the wells (m)\r\nQ0   = 200;                                               %  Pumping rates (m3/d)\r\nR    = 910;                                               %  Radius of influence (m)\r\nLx   = 400;                                               %  Length of construction area (m)\r\nLy   = 300;                                               %  Width of construction area (m)\r\nK    = 0.8;                                               %  Hydraulic conductivity (m/d)\r\nH    = 90;                                                %  Initial saturated thickness (m)\r\nsmin = 6;                                                 %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 5.5;\r\nassert(~tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3 \u0026\u0026 abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw   = [-50 -50  50 200 350 450 450   50  200  350];      %  x-coordinates of the wells (m)\r\nyw   = [-75  75 200 200 200 -75  75 -200 -200 -200];      %  y-coordinates of the wells (m)\r\nQ0   = 200;                                               %  Pumping rates (m3/d)\r\nR    = 910;                                               %  Radius of influence (m)\r\nLx   = 400;                                               %  Length of construction area (m)\r\nLy   = 300;                                               %  Width of construction area (m)\r\nK    = 0.8;                                               %  Hydraulic conductivity (m/d)\r\nH    = 90;                                                %  Initial saturated thickness (m)\r\nsmin = 6;                                                 %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 5.62;\r\nassert(~tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3 \u0026\u0026 abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxw   = [-50 -50   0 200 400 450 450    0  200  400];      %  x-coordinates of the wells (m)\r\nyw   = [-75  75 200 200 200 -75  75 -200 -200 -200];      %  y-coordinates of the wells (m)\r\nQ0   = 200;                                               %  Pumping rates (m3/d)\r\nR    = 910;                                               %  Radius of influence (m)\r\nLx   = 400;                                               %  Length of construction area (m)\r\nLy   = 300;                                               %  Width of construction area (m)\r\nK    = 0.8;                                               %  Hydraulic conductivity (m/d)\r\nH    = 90;                                                %  Initial saturated thickness (m)\r\nsmin = 6;                                                 %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 82.4;\r\nymin_correct = 150;\r\nsmin1_correct = 5.66;\r\nassert(~tf)\r\nassert(abs(xmin-xmin_correct)/xmin_correct\u003c1e-2 || abs(Lx-xmin-xmin_correct)/xmin_correct\u003c1e-2)\r\nassert(abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)\r\n\r\n%% \r\nxL   = 80:80:320;\r\nyL   = 200*ones(1,4);\r\nxw   = [-50 -50 xL 450 450  xL];     %  x-coordinates of the wells (m)\r\nyw   = [-75  75 yL -75  75 -yL];     %  y-coordinates of the wells (m)\r\nQ0   = 200;                          %  Pumping rates (m3/d)\r\nR    = 910;                          %  Radius of influence (m)\r\nLx   = 400;                          %  Length of construction area (m)\r\nLy   = 300;                          %  Width of construction area (m)\r\nK    = 0.8;                          %  Hydraulic conductivity (m/d)\r\nH    = 90;                           %  Initial saturated thickness (m)\r\nsmin = 6;                            %  Minimum drawdown (m)\r\n[tf,smin1,xmin,ymin] = dewaterCheck(xw,yw,Q0,R,Lx,Ly,K,H,smin);\r\nxmin_correct = 0;\r\nymin_correct = 150;\r\nsmin1_correct = 6.65;\r\nassert(tf)\r\nassert(abs(mod(xmin,Lx)-xmin_correct)\u003c1e-3)\r\nassert(abs(abs(ymin)-ymin_correct)/ymin_correct\u003c1e-3)\r\nassert(abs(smin1-smin1_correct)/smin1_correct\u003c1e-3)","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-10-16T05:19:15.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-10-16T05:10:49.000Z","updated_at":"2026-02-12T14:57:15.000Z","published_at":"2023-10-16T05:19:15.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn addition to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/57452\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esupplying water\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59104\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecapturing contaminants\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, wells can be used to lower the water table in a construction area. In such applications, the water table must be lowered from the initial elevation \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at least a value \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"smin\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es_{min}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e over the whole area. That is, the water table elevation relative to the bottom of the aquifer must be no greater than \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"hmax = H - smin\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_{max} = H – s_{min}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe wells will be set back from the boundaries of the construction area to allow for excavation. The water table elevation can be computed with\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h = sqrt(H^2 - (1/(pi K) sum(Qj ln(R/rj))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh = \\\\sqrt{H^2-\\\\frac{1}{\\\\pi K} \\\\sum_{j=1}^N Q_j \\\\ln\\\\left(\\\\frac{R}{r_j}\\\\right)}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the hydraulic conductivity, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Qj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the pumping rate of the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"j\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth well, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the radius of influence, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rj\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_j\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the distance from the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"j\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ej\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth well to the point in question. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that takes the coordinates of the wells and their pumping rates, as well as the dimensions of a rectangular construction area and properties of the aquifer, and assesses whether the minimum drawdown is achieved everywhere in the construction area. The origin will be at the center of the left side, as shown by the black X below. In addition to a logical variable that indicates whether the well system works, the function should return the minimum drawdown achieved by the well system and the coordinates of the minimum drawdown.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"471\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"614\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"dewatering scheme\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56205,"title":"Measure the hydraulic conductivity with a falling-head permeameter","description":"A falling-head permeameter is another device for measuring the hydraulic conductivity  of a soil sample. In this problem the sample is placed in a cylinder of length  and cross-sectional area . Unlike the constant-head permeameter, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area ) that falls. In other words, the head difference , or the difference between the water levels in the tube and the outlet, decreases in time. \r\nThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\r\n\r\nDarcy’s law applies when a Reynolds number based on the specific discharge  and representative diameter  of the soil grains is less than (approximately) 1—that is, \r\n\r\nwhere  is the kinematic viscosity of the fluid.\r\nDerive and solve an ordinary differential equation for the head difference . Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the previous problem. Use  and .\r\n\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 902px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 451px; transform-origin: 407px 451px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 107px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.5px; text-align: left; transform-origin: 384px 53.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 272.5px 8px; transform-origin: 272.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 103px 8px; transform-origin: 103px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eL\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82px 8px; transform-origin: 82px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"A_c\" style=\"width: 16.5px; height: 20px;\" width=\"16.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 37px 8px; transform-origin: 37px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Unlike the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003econstant-head permeameter\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.5px 8px; transform-origin: 11.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"A_t\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 147px 8px; transform-origin: 147px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) that falls. In other words, the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145px 8px; transform-origin: 145px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378px 8px; transform-origin: 378px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = -K(dh/dx)A\" style=\"width: 85px; height: 35px;\" width=\"85\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 246px 8px; transform-origin: 246px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"v = Q/A\" style=\"width: 57.5px; height: 18.5px;\" width=\"57.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 93px 8px; transform-origin: 93px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and representative diameter \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the soil grains is less than (approximately) 1—that is, \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 17.5px; text-align: left; transform-origin: 384px 17.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Re = vd/nu \u003c 1\" style=\"width: 79px; height: 35px;\" width=\"79\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eν\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116px 8px; transform-origin: 116px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the kinematic viscosity of the fluid.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 147px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 73.5px; text-align: left; transform-origin: 384px 73.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 231.5px 8px; transform-origin: 231.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eDerive and solve an ordinary differential equation for the head difference \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eδ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132px 8px; transform-origin: 132px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eprevious problem\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Use \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"g = 981 cm/s^2\" style=\"width: 90.5px; height: 19.5px;\" width=\"90.5\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"nu = 10^{-2} cm^2/s\" style=\"width: 94px; height: 19.5px;\" width=\"94\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 359px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 179.5px; text-align: left; transform-origin: 384px 179.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: middle;width: 401px;height: 359px\" src=\"data:image/png;base64,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\" alt=\"falling-head permeameter\" data-image-state=\"image-loaded\" width=\"401\" height=\"359\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n)\r\n  K = f(delta,t,L,Dc,Dt);\r\n  isDLvalid = (Re \u003c 1);\r\nend","test_suite":"%%\r\nDc = 11.28;                                 %  Diameter of cylinder holding sample (cm)\r\nDt = 2.26;                                  %  Diameter of tube (cm)\r\nL  = 10;                                    %  Sample length (cm)\r\nn  = 0.15;                                  %  Porosity\r\nt  = [0 1 2 5 10 15 20 25]*86400;           %  Time (sec)\r\ndelta = [5 4.6 4.4 3.4 3.1 1.8 1.4 0.9];    %  Head difference (cm)\r\nK_correct = 3.08e-7;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 8;                                                %  Diameter of cylinder holding sample (cm)\r\nDt = 2;                                                %  Diameter of tube (cm)\r\nL  = 15;                                               %  Sample length (cm)\r\nn  = 0.25;                                             %  Porosity\r\nt  = 0:60:420;                                         %  Time (sec)\r\ndelta = [25 20.63 17.03 14.05 11.60 9.57 7.9 6.52];    %  Head difference (cm)\r\nK_correct = 3e-3;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)\r\n\r\n%%\r\nDc = 7.5;                                              %  Diameter of cylinder holding sample (cm)\r\nDt = 1.75;                                             %  Diameter of tube (cm)\r\nL  = 7.6;                                              %  Sample length (cm)\r\nn  = 0.2;                                              %  Porosity\r\nt  = [0 1.25 2.36 3.74 5.40 7.20 9.28 12.08];          %  Time (sec)\r\ndelta = 88.9:-10:18.9;                                 %  Head difference (cm)\r\nK_correct = 5.25e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6;                                                               %  Diameter of cylinder holding sample (cm)\r\nDt = 1.5;                                                               %  Diameter of tube (cm)\r\nL  = 7.5;                                                               %  Sample length (cm)\r\nn  = 0.2;                                                               %  Porosity\r\nt  = [0 1.06 2.11 3.62 4.88 6.53 8.39 10.67 13.52 17.37];               %  Time (sec)\r\ndelta = [56.02 50.36 44.7 39.05 33.39 27.73 22.07 16.41 10.75 5.09];    %  Head difference (cm)\r\nK_correct = 3.89e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 7.6;                              %  Diameter of cylinder holding sample (cm)\r\nDt = 1.5;                              %  Diameter of tube (cm)\r\nL  = 7.5;                              %  Sample length (cm)\r\nn  = 0.2;                              %  Porosity\r\nt  = [0 2.28 5.13 8.98];               %  Time (sec)\r\ndelta = [22.07 16.41 10.75 5.09];      %  Head difference (cm)\r\nK_correct = 4.79e-2;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(~isDLvalid)\r\n\r\n%%\r\nDc = 8;                                                      %  Diameter of cylinder holding sample (cm)\r\nDt = 2.5;                                                    %  Diameter of tube (cm)\r\nL  = 15;                                                     %  Sample length (cm)\r\nn  = 0.18;                                                   %  Porosity\r\nt  = 0:7200:50400;                                           %  Time (sec)\r\ndelta = [50 43.15 37.23 32.13 27.72 23.92 20.64 17.81];      %  Head difference (cm)\r\nK_correct = 2.99e-5;\r\n[K,isDLvalid] = FHP(t,delta,L,Dc,Dt,n);\r\nassert(abs((K-K_correct)/K_correct)\u003c0.01)\r\nassert(isDLvalid)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2022-10-01T17:35:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-01T17:35:38.000Z","updated_at":"2026-02-10T14:28:46.000Z","published_at":"2022-10-01T17:35:57.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA falling-head permeameter is another device for measuring the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of a soil sample. In this problem the sample is placed in a cylinder of length \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"L\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_c\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Unlike the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003econstant-head permeameter\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, in which the water level in a standpipe (or tube) is kept constant, the falling-head permeameter has a water level in the tube (of cross-sectional area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A_t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_t\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) that falls. In other words, the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the difference between the water levels in the tube and the outlet, decreases in time. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe hydraulic conductivity can be determined from a statement of conservation of mass (i.e., water volume) by equating the rate of change of volume in the tube to the flow out of the soil sample. The outflow can be computed with Darcy’s law, which states in general\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = -K(dh/dx)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = -K\\\\frac{dh}{dx}A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDarcy’s law applies when a Reynolds number based on the specific discharge \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"v = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and representative diameter \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"d\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the soil grains is less than (approximately) 1—that is, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re = vd/nu \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eRe = \\\\frac{vd}{\\\\nu} \u0026lt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the kinematic viscosity of the fluid.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eDerive and solve an ordinary differential equation for the head difference \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"delta\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Then write a function that takes as input measurements of head difference as a function of time, as well as the soil’s porosity, diameter of the tube, and length and diameter of the cylinder holding the soil sample. The function should compute the hydraulic conductivity by fitting the solution to the ordinary differential equation to the data and using Darcy’s law regardless of its validity. Also return a flag indicating whether Darcy’s law is valid throughout the experiment; to assess the validity, relate the hydraulic conductivity to the representative grain diameter with the Kozeny-Carman equation, as described in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/55825-measure-the-hydraulic-conductivity-with-a-constant-head-permeameter\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eprevious problem\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Use \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g = 981 cm/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg = 981\\\\rm\\\\,cm/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"nu = 10^{-2} cm^2/s\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\nu = 10^{-2}\\\\rm\\\\,cm^2/s\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"359\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"401\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"falling-head permeameter\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":49743,"title":"Determine aquifer properties: unsteady pump test in a confined aquifer","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 714.15px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 357.075px; transform-origin: 407px 357.075px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 382.358px 7.79167px; transform-origin: 382.358px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground water-bearing formation. One approach is to disturb the aquifer, observe its response, and fit a theoretical formula to the observations. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 106.633px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 53.3167px; text-align: left; transform-origin: 384px 53.3167px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 297.567px 7.79167px; transform-origin: 297.567px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, suppose a confined aquifer initially has no flow. In that case, the piezometric head \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.675px 7.79167px; transform-origin: 67.675px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or the level to which water would rise in an observation well, would be a uniform value \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"h0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 124.467px 7.79167px; transform-origin: 124.467px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. A well turned on and pumped at a rate \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q0\" style=\"width: 19px; height: 20px;\" width=\"19\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.9083px 7.79167px; transform-origin: 38.9083px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will create a cone of depression; that is, it will draw down the piezometric head to a level \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"h(r)\" style=\"width: 29px; height: 18.5px;\" width=\"29\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.8917px 7.79167px; transform-origin: 24.8917px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95.2917px 7.79167px; transform-origin: 95.2917px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the radial distance from the well. Applying conservation of mass and Darcy’s law to this situation leads to a diffusion equation whose solution for the drawdown \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s = h0 - h\" style=\"width: 64.5px; height: 20px;\" width=\"64.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3417px 7.79167px; transform-origin: 79.3417px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e as a function of distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003er\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.725px 7.79167px; transform-origin: 30.725px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7px 7.79167px; transform-origin: 7px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 44px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22px; text-align: left; transform-origin: 384px 22px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"s = (Q0/(4 pi T)) integral(exp(-x)/x, u, infinity)\" style=\"width: 117px; height: 44px;\" width=\"117\" height=\"44\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 7.79167px; transform-origin: 21.0083px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eT\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.9833px 7.79167px; transform-origin: 65.9833px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the transmissivity, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eS\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.15px 7.79167px; transform-origin: 67.15px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the storativity, and \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.05px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.025px; text-align: left; transform-origin: 384px 18.025px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"u = Sr^2/(4Tt)\" style=\"width: 49.5px; height: 36px;\" width=\"49.5\" height=\"36\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 349.917px 7.79167px; transform-origin: 349.917px 7.79167px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that achieves the objective of a pumping test: to determine the transmissivity and storativity from measurements of drawdown in time. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 347.467px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 173.733px; text-align: left; transform-origin: 384px 173.733px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 497px;height: 342px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\" width=\"497\" height=\"342\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [T,S] = confinedPumpTest(t,s,Q0,r)\r\n  % t = time, s = drawdown, Q0 = pumping rate, r = distance from well\r\n  T = f1(t,s,Q0,r);\r\n  S = f2(t,s,Q0,r);\r\nend","test_suite":"%%\r\nQ0 = 0.15;                                %  Pumping rate (m3/s)\r\nr  = 100;                                 %  Distance from well (m)\r\nt  = [100 1000 10000 1e5 2e5];            %  Time (s)\r\ns  = [0.0402 1.236 3.664 6.276 7.05];     %  Drawdown (m)\r\n[T,S] = confinedPumpTest(t,s,Q0,r);\r\nT_correct = 1.042e-2;                     %  Transmissivity (m2/s)\r\nS_correct = 9.864e-4;                     %  Storativity\r\nassert(abs(T-T_correct)/T_correct \u003c 1e-3 \u0026\u0026 abs(S-S_correct)/S_correct \u003c 1e-3)\r\n\r\n%%\r\nQ0 = 0.30;                                %  Pumping rate (m3/s)\r\nr  = 100;                                 %  Distance from well (m)\r\nt  = [100 1000 10000 1e5 2e5];            %  Time (s)\r\ns  = [0.0804 2.472 7.328 12.552 14.1];    %  Drawdown (m)\r\n[T,S] = confinedPumpTest(t,s,Q0,r);\r\nT_correct = 1.042e-2;                     %  Transmissivity (m2/s)\r\nS_correct = 9.864e-4;                     %  Storativity\r\nassert(abs(T-T_correct)/T_correct \u003c 1e-3 \u0026\u0026 abs(S-S_correct)/S_correct \u003c 1e-3)\r\n\r\n%%\r\nQ0 = 0.1;                                      %  Pumping rate (m3/s)\r\nr  = 40;                                       %  Distance from well (m)\r\nt  = [300 2000 8000 12000 24000 40000];        %  Time (s)\r\ns  = [0.494 1.749 2.830 3.153 3.709 4.120];    %  Drawdown (m)\r\n[T,S] = confinedPumpTest(t,s,Q0,r);\r\nT_correct = 9.838e-3;                          %  Transmissivity (m2/s)\r\nS_correct = 3.4e-3;                            %  Storativity\r\nassert(abs(T-T_correct)/T_correct \u003c 1e-3 \u0026\u0026 abs(S-S_correct)/S_correct \u003c 1e-3)\r\n\r\n%%\r\nQ0 = 0.1;                                      %  Pumping rate (m3/s)\r\nr  = 65;                                       %  Distance from well (m)\r\nt  = [300 2000 8000 12000 24000 40000];        %  Time (s)\r\ns  = [0.125 1.050 2.067 2.383 2.931 3.339];    %  Drawdown (m)\r\n[T,S] = confinedPumpTest(t,s,Q0,r);\r\nT_correct = 9.838e-3;                          %  Transmissivity (m2/s)\r\nS_correct = 3.4e-3;                            %  Storativity\r\nassert(abs(T-T_correct)/T_correct \u003c 2e-3 \u0026\u0026 abs(S-S_correct)/S_correct \u003c 1e-3)\r\n\r\n%%\r\nQ0 = 0.05;                                     %  Pumping rate (m3/s)\r\nr  = 5+10*rand;                                %  Distance from well (m)\r\nt  = [4e5 9e5 14e5 19e5 24e5];                 %  Time (s)\r\ns  = [0.859 0.918 0.951 0.973 0.991];          %  Drawdown (m)\r\n[T,S] = confinedPumpTest(t,s,Q0,r);\r\nlogfit = polyfit(log(t),s,1);                  \r\nTapprox = Q0/(4*pi*logfit(1));                       \r\nSapprox = 2.25*Tapprox*exp(-logfit(2)/logfit(1))/r^2;      \r\nassert(abs(T-Tapprox)/Tapprox \u003c 1e-3 \u0026\u0026 abs(S-Sapprox)/Sapprox \u003c 2e-3)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-01-04T00:26:53.000Z","updated_at":"2026-01-09T18:01:40.000Z","published_at":"2021-01-04T05:23:32.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground water-bearing formation. One approach is to disturb the aquifer, observe its response, and fit a theoretical formula to the observations. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, suppose a confined aquifer initially has no flow. In that case, the piezometric head \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, or the level to which water would rise in an observation well, would be a uniform value \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. A well turned on and pumped at a rate \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e will create a cone of depression; that is, it will draw down the piezometric head to a level \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h(r)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh(r)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the radial distance from the well. Applying conservation of mass and Darcy’s law to this situation leads to a diffusion equation whose solution for the drawdown \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s = h0 - h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es = h_0-h\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e as a function of distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"r\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and time \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"s = (Q0/(4 pi T)) integral(exp(-x)/x, u, infinity)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003es = {Q_0 \\\\over 4 \\\\pi T} \\\\int_u^\\\\infty {e^{-x} \\\\over x} dx\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the transmissivity, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the storativity, and \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"u = Sr^2/(4Tt)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eu = {S r^2 \\\\over 4 T t}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that achieves the objective of a pumping test: to determine the transmissivity and storativity from measurements of drawdown in time. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"342\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"497\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":59516,"title":"Determine aquifer properties: slug test","description":"An important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground water-bearing formation. One approach is to disturb the aquifer, observe its response, and fit a theoretical formula to the observations. This approach is demonstrated in Cody Problems 59152, 49473,  and 59147, which involve steady pump tests in confined or unconfined aquifers, an unsteady pump test in a confined aquifer, and a steady pump test in a leaky confined aquifer. In these cases, a well is pumped at a constant rate, and properties such as the hydraulic conductivity  of the aquifer are determined. \r\nInstead of pumping a well, one can displace the water in the well—by pouring water into the well, bailing it out of the well, or inserting a “slug” and removing it quickly—and observing how the water level recovers. In the Bouwer-Rice model of a slug test, the displacement  of water in the well is given as a function of time  by\r\n\r\nwhere  is the initial displacement,  is the radius of the well casing,  is the radius of the well screen,  is the length of the well screen, and  is the effective distance over which the water table returns to its undisturbed level. If the distance  from the undisturbed water table to the bottom of the well is smaller than the initial saturated thickness , then \r\n\r\nIf ,\r\n\r\nBouwer and Rice provided the coefficients , , and  in a figure, and Yang and Yeh (2004) fit the curves as functions of :\r\n\r\n\r\n\r\nWrite a function that computes the distance  and determines the hydraulic conductivity  by fitting the Bouwer-Rice formula to measurements of displacement as a function of time. \r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1075.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 537.75px; transform-origin: 407px 537.75px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 126px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 63px; text-align: left; transform-origin: 384px 63px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 382.358px 8px; transform-origin: 382.358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground water-bearing formation. One approach is to disturb the aquifer, observe its response, and fit a theoretical formula to the observations. This approach is demonstrated in Cody Problems \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59152\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e59152\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/49743\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e49473\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.4417px 8px; transform-origin: 19.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,  and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/59147-determine-aquifer-properties-steady-pump-test-in-a-leaky-confined-aquifer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e59147\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.4667px 8px; transform-origin: 89.4667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which involve steady pump tests in confined or unconfined aquifers, an unsteady pump test in a confined aquifer, and a steady pump test in a leaky confined aquifer. In these cases, a well is pumped at a constant rate, and properties such as the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.56667px 8px; transform-origin: 9.56667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the aquifer are determined. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 383.933px 8px; transform-origin: 383.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInstead of pumping a well, one can displace the water in the well—by pouring water into the well, bailing it out of the well, or inserting a “slug” and removing it quickly—and observing how the water level recovers. In the Bouwer-Rice model of a slug test, the displacement \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eH\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 152.075px 8px; transform-origin: 152.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of water in the well is given as a function of time \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003et\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.33333px 8px; transform-origin: 9.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e by\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-20px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"181\" height=\"42\" alt=\"H = H0 exp(-2KLet/(rc^2 ln(Re/R)))\" style=\"width: 181px; height: 42px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 65px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 32.5px; text-align: left; transform-origin: 384px 32.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" alt=\"H0\" style=\"width: 19px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.6333px 8px; transform-origin: 83.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the initial displacement, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"13.5\" height=\"20\" alt=\"rc\" style=\"width: 13.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.1833px 8px; transform-origin: 99.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the radius of the well casing, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.9583px 8px; transform-origin: 99.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the radius of the well screen, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"16\" height=\"20\" alt=\"Le\" style=\"width: 16px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49.3917px 8px; transform-origin: 49.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the length of the well screen, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACEAAAAoCAYAAABw65OnAAACXElEQVRYR+1XOy8FQRi9t1cIFYVIKEgkKuEHCJXoPGqJV6Ik4QeQUGm8Eo0KhUQjIRKVxKNSUZCgoKKh5xyZ7+a7Y3Z29tpNrmQ3Odm5O+ObM9/jfKNYqIKnWAUcCjkJiULuiX/liU2wHQAaPFX0ibkjYBs4qaTaQnKiDobflHFuNA08AH3AKtBm5jnXn5RICAna/FKGRzDeU79J8gmoMd8W8F5KQiSERBcMXimj9Ri/W5uQ1JD5dod3e9oklmFw1hi9xLvHsYFe84r5xrRJXMBgtzG6gvecYwPtiSiikbxCwqHzgUlnV4CdE1NYs5GmJ4ZhbNcYpJs7rHwggXNAqmMfY5Kwc8bLKc4T1IlxRz4wWXuBGUA0ZAvj+aQEaDuOxK06pes0jP8hcApcJwmBXusj0YKF92pxK8YUqA9ANMGVI4m5+EhMwtq6sahrX4eoIoW0WfpI6LJjvCfMH9viFRfSWM/4DLyopLOlWudKYpkO9UScVLMKFh1VE3tq14IoT8RtYndWSdpUSRzDGts0nyipDlkTRCrKE77WLYZtNfU1LZY7u2wz0AlQ5Eq64iKhQ8EN7aTUp9OaEdUz2GE5x07MnsKG2ASUSGsSdP+YYaw34vWNekF9oFjpR2sGv7OUuamskzIXgiKA7DH05M/z5xq3SOmfInbS2llxO8AzMAqUmlyWJERnqKqPQC1wBvxq81mRELez/Q8C3uaWFQnmF0vYddVjWMpIZUWCuSGVo5NyDd9vgLIrYpYkeGLeNeTSw4o4APS/C5lXh6dwyqey9EROItgDsjAPR1V54htUynUpQju3qgAAAABJRU5ErkJggg==\" width=\"16.5\" height=\"20\" alt=\"Re\" style=\"width: 16.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 302.475px 8px; transform-origin: 302.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the effective distance over which the water table returns to its undisturbed level. If the distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"20\" alt=\"Lw\" style=\"width: 18px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0.0416667px 8px; transform-origin: 0.0416667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the undisturbed water table to the bottom of the well is smaller than the initial saturated thickness \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eh\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.4417px 8px; transform-origin: 19.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, then \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 44px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22px; text-align: left; transform-origin: 384px 22px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"305.5\" height=\"44\" alt=\"ln(Re/R) = [1.1/ln(Lw/R) + [A+Bln((h-Lw)/R)]/(Le/R)]^{-1}\" style=\"width: 305.5px; height: 44px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"20\" alt=\"Lw = h\" style=\"width: 44px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.9px; text-align: left; transform-origin: 384px 21.9px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"203\" height=\"44\" alt=\"ln(Re/R) = [1.1/ln(Lw/R) + C/(Le/R)]^{-1}\" style=\"width: 203px; height: 44px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.525px 8px; transform-origin: 132.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBouwer and Rice provided the coefficients \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eB\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eC\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.15px 8px; transform-origin: 206.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a figure, and Yang and Yeh (2004) fit the curves as functions of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"101\" height=\"20\" alt=\"x = log10(Le/R)\" style=\"width: 101px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"332.5\" height=\"19.5\" alt=\"A(x) = 1.353+2.157x-4.027x^2+2.777x^3-0.460x^4\" style=\"width: 332.5px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"342\" height=\"19.5\" alt=\"B(x) = -0.401+2.619x-3.267x^2+1.548x^3-0.210x^4\" style=\"width: 342px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAr4AAAAnCAYAAADpcUvXAAAZXElEQVR4Xu2dX8h+S1XHj/dFpleGGJQXipmClnHEyEiFKEJFSwt5sTjlhYiYYRIhESZahARlYfEjTC0xiSIoRSFRKpPUlLpQsYi60oq6r/Wx56vrzJk/a/ae/fye533XhuH8zvvsPXvmO+vPd9asmf2oB/JKBBKBRCARSAQSgUQgEUgE7gACj7oDfcwuJgKJQCKQCCQCiUAikAgkAg8k8U0hSAQSgUQgEUgEEoFEIBG4Ewgk8b0Tw5ydTAQSgUQgEUgEEoFEIBFI4psykAgkAolAIpAIJAKJQCJwJxBI4nsnhjk7mQgkAonAnUPgR63Hr7XyrFPP/8b++2orn7hzSNytDj/GuvtbVn7QyjdY+R8rP2XlD+8WDHe+tz9vCLzZymOtfMWjcUnEF2H9aSu/smi4fsbq+aOyw4vqzmoSgUQgEUgELhcB7P9rrLzdyn9YeaWV55+a+wL7719ebtOzZTsR+Ed7/jNWftfKt1l5mxUIcI77TmCv6PFvt7Z+6jTuF0t8Ib1/bmXlbPy7rL7fWFznFY17NjURSAQSgTuLwL9Zz59j5QsOgb84kV9ILyQor9uHABMeyO7Pua7xNyLAv2OF4Fpetx8BdP1BK0x4LpL4Qno/ZuUVVlYvQUF+/8TKjxxQ9+0XnbU9ZAZG+YFTtW+x/z5s+WHt6x5R2+oVhYObe6urZyyeaeUZVr7ZyvtSP2/1eJ+7c0R2X2ylJDmkPrzXyj9ZefK5G7XzfefQGfwlpPGaUwLoA5Md71uQB4jQG62sWlHeOZx3+vGjuQB6zgrPE6w8ycoS4osCvtTKC6081crj3BCSS/NxK5+28k1WvtfKswshLEf8r+0Pf2XFz9BWSgVCz3LXqB0r33ltdTEj/kUrqycIIptMapCHj1ph+am3zEhbbhyACO+7gvKhmX0L/x+zHy7ZqGO0f9bKt5468JSTPv3eAe3WhPPxVvc3DgSWXClkg4txpPypFf4+M3lhfLAbzMSxE/Trg5N1DJp6sT9j7Mk3e7SVSLRR9xO1lI2FsIH7Xlvpx4GIyL9bQTdfNTkWUbvB0jMOKHKRnobjOuISAbqmiO9qncH+4b9rF/776VZ8lFz3gd3rrCiKxt/Jmf51KyObqmd5RvZD/mBW5rbIxVvtoR+2cukcQDov+4/v+wcrv2BlT1AQWw/hf9oJPOr9Lyu/f/p7D1NvtxgzLvmlmXZt4QJbxpr3fNYK/ooVf/L7dxFfKnyDFQQVY4nQ37OC45KioKTKp6HRIwODQP6ElW/Z0sOJZ5jtfclKLnM8HDQ5LjnW77af9yiYrx3n9c6TrODMmG3XDKqe8UTs9fbHd5x+gAx++PTvllFWHSxv+omYbw/O/TuszBC1CRHbfasS8X1UQps0cFTo2/fsfsvXK/ht++dDVnB2LeKL0fuz0yM/5MYPR/b+098jm0YYQ4ws5Id+MMm6KzmWchwiGyObCKylHS2HfU/EUsSHOnB+ODHsOVeP+Pg2zNgNxv5vJ+T2yMmpJsbXEPk7QmeQxc93xqIlm7IVrUd7KQTIG5vMmPT5aOuMXZ8Qn0fciq26Z2V1UGdPm2rPSjaxj+AlPyV93ZqmIVtNKqmfZMjf4BfLlCC1z6eI+CCHfDX2PKKvs1xgD7bIKnaN4ABB1V3E1yshxrEUYt9QCTTGtDdYgPfPVjzJ2dPh3rNS+Exu/3+UGCMIC9fLrcjxrSK+nlSRWxWJUElIazIjJe2RNJEF+sVmlvKCdPeI91GyF6lXBqZGaDSDhdCvioZpyZe2tTAdGTeNCXU8sYOtJ3G0/xwRngjm57gHjJisEeXVxqoR8dWmjH+1Z1ip+qIV0kFeZMVH6kb11PqHXrIKx6YvP/HwY9mTsS12A8eNY/2lU19auBOcQBaJdh01OaUt32nl0iN/R+mM+s/4166/q2AvW4G8sEKDbSUd4saKTsugrtpkgsAW/r0lU0emnmj1zOtMz0615PIcf9dKRG3i6e3/7IRtNLlQzjvktww+qk2138CEdn35BM4jIqoOtC1cYCvmtBk7o4nDLuLriSwDQ+7UKFqjzvZmA+eK9gpEQGAmEFlm3Ar8tTyHcxUJlHGi7SuIr48OEP2PkF4RP+Tr+63Uos7/bX+HoLfqJNrLcu1Ry6R+bJWOsSJFRxPAXt88Mdk7Rp5YMWNvEV/JRY+MaExaJMwT7NUR62vQNa9n/3tq8Iiw4oxYUvRRH/W1jJ7OOHJF71ukT05wtAIwYzck2y2dVr8kJ6smdjXZWB380Obp1T7lKJ1R/5l4ajUtokPo+Lut1FZLvV2qESStwPUIm/RiRpYj7dY9SnXUatPKVbOZdvTuFU4t+feBn5mJoYhfy/Z6e1KOkSLNPXul+lsytYULbMVUE4Qbq0D8dDPx9UdC0KBIWJv7NFvoCXNPobZ2vvecyNVRCnZEm89R50ri6432yMH7vknxW7NL7pVj5t/lMXySt6h87sVVmM30sfVOn5fcWpHwBmovOdAEkDx8ojEtoqMx6RFWPyalXnnbcelpJnvlIfJ8hPgKsx5R9DmaMyQG5/lJ5xTKNkumezron4nYDeSWzayjDUXq05H6i9yz0XnUlshYeh/XmyhE69J9R+qMxqsXnSvbi20iOtyLkPv0stIGSOZ7ARDds3dC38PaR00v6QhX2uztf0ufvf2PBpN8WkvvGQUvSr0fkWbarntqE5utXGBWZ3Q/8k3AwE/QNhNfvylhNscEp/gyK7VlK4FypKErAZQgzC4XbB2Ia3ku4sAiffGRy+jKAPV6pe4RSd/OUm4k4NSnDZYfsH/PRDYiffRKBmlcQXw9kekZfzmIPY5WqyzkOpOv3yK+3mhGx6TUKz8mqXMPPBAhvjjB51rprVp4h7ISV0VnonZ+ld1Ap3C+XKMc/hkd9ffSN66Vezz88vRoc2i03UfpjLfNtEWbGUcbjbFNHxnYUR/VK+2XSHHLZsn2RydbURxr920h/nveF33WBw8i9j+a3+8Jdc9OeJnz74/4JeltOVHfygWimJX3acJYpjmSKqY8ZFJ0vpap0Jv9eMMW3fQQbbiUZWb2Ga27dx8DxW7yTHf4OkqrHJhf9ppZ1vbv7ymoHA0t987Z/70ce+T2iBzylRHfluEp+6KZOX/fsmqhlCWlKvlUhtJxe0x7xLeVG+onM0fnba6wC+eoI0J8I+3wY7MycABJ4WptdCnbtspuiMjP2IwITrpHk4nVueWrie+ROuPHqsQO0rln45e3I+XExb+3RthE+lZO4FqyQVsu8WSHaEDD+4kIb4r6VU+8fcTZ25ka/5Ptr/mHrVxgRq/9vT0O4O/7Gm494usd7d7l1bJDGsTosgOMniT177PyoBXyIb3zV74Vyfa9tvJejvIoE7m3An4bnlvlwPySF0srXBgaZlxcOLbaUqOfWUaJr3eSyMbzrLDhguNaJB9+bKJRrOh4HkV8e5svowS51gct9flj4aLEt0dIWgTZjymGkej7jRVthsEJkh+NgWxtZFql89ExPfq+VcRXRHFlMILxIndw5gNCq+yGZKWXtqEjNImG63g3f78//cRHD5WLX+ZL6/49+wFWE98VOtOSYaWcsEmSzY1+U5qe2TqJUhCrtTGXM/rlA0SyyRNn0zNjyZFTvfQTxoiIIu2mntK/I4fIQskJSiywn6R3rYz677UZfmVttJLn7X9kk77Xz16qQ48ge5n0QSTsNr6a3O+aDd/KBTyeyOxLnLyWqwLIBUfpPe40/rXV3elUBx8mpzERoGeEAFL9OSvRRHPaw+5myA0KwyUFUCSLXdAoBgrYykmaJdy+T3JcM/0s712xNL7n/bVnVziw8pgchJTzBzE0XBxZh4BylQYyurxXzkB7y4vIC0dm6Z28dyYfcoTxSuIb3QCwh/iK2Hh96xFfv2MXLFoT1Bbx9YYPg4muQ3S5vOPtkbdVOj8ay3P9vor4Sl5WBCPQ2z+wAhFiLKInsIDZCrtBPZE0B+QM0sZyJcfo6exhAhg6fYS6RLAIijzTynutgBOnB/kLe/RaK+jF1ms18V2hM9G+lEeT6rktK0lKh2zZV386jN6jVAvIU++kHQU18P3s1hdhVzsZP8gzvgCZoA2aHPnxxZaQq+yPZIxideR9Mz4t6ifV3ugmyVFk2JNf6mbs/sVK60jKPVzAY609CaxQPnT6QTLGeELmsR34+JYtnCa+JdOf2UkYERScwNalLSmaCC4zyjdZoc2QYCJILWXSIG9R8CS+7ZEtFbh28kcZ0VC6SXQm68nYaHZMS30USAq7KtK/kvh6A9XL3/L59jMbQTQzLpcze8QXvPz7WtGg1gYGryu1KL6fWEfGco/OR+zROe5ZRXwhSDj6Pfmw6KsnEr7/0RzCFcR3S5qDnyiydAlZ/08rRPJwuug9F2d/65jGcnxXbLZcTXxX60xEpnXShyYMs5MpkZyRzDAmnCPrI82MQTSthr54W4M9YiJ0Y4VoPhcTHQJLikZqcsQHX/7eCn076pi8CNa1e7zfHPEhL/eR1JAyeNFKj4jU6++hH9js1vnte7hADSPfD1Zu+TYAK8eSHd5XO4aPuqaJr599joR6y6DvIb5+EBB0ooqRI7Nop4z16gj2Fgwu5ZkVDszX0TOeXq40+ZiJZEbzoTy2M/VHx2Ql8eWdnmTWIidl/t/oeCj1Q0n/tTznEfH1jqa1+cTnh2ncveHrbVrxE6FRNH6PzkfH9Oj7VhBfTRgiji/aH8brJ634804jqUEr7EYkzaHsRznZ4vfWJuooBlvuW0l8j9CZaJ/KjUgzG/UYP4jn6IhTEWzaJJKt9kVTLDwBgiSyg//SIrhRzHVfdC+F5y78O6r/3m7W/LI/7YJ6a3ZYASQfWVf7a3ZiDxdo4Sf/iD/h+MDyHPJZ3JtLmH72OZqJTL/UHthDfMsQfpm/1WvPtRFfL0RbcI4oyQoHNlouUdtrs8voEs7MspDHqndWYQvTaLL8aEyiBsqflU2dGCl2XHNBSjh0Xw4jEiFVu8CWZd5aLuOI+FKHJ6cYHX2EgJQjjA/OR+kk6mvUmLeixTVM9+i8x6KW2zgaQ//7TKS9rHcv8RVBIa/uiDxFj3FExlbYjUiaQ4ljufKzJ/I9GvtzrfIdoTOjvvnf/WakqIzTZtJORpuHZdtId8JXQ4L1FUe1IUp+I6tQM/1u3bvC/kfSGmd8WtRP+j6VaSZwOfJiSRnimEH24PDJ+tYHrPQ8dp4VQ1bS32OFdusqye8eLtAaD88bIpPyoQy0cve8wi95UdGSPcS3DH3POIH7dZrEcCAaN9w24lsjO5GlFuCZWRYq4VSkOUpEVxg+2hB9H/ci12zy0CYO/oahIjf2Q1aIrnJFlyORnd4u5gjx5X2M2SutaNOg8rd/zf72utO4+A+PRJ34TOrKHp2XLHjHsVUfo6SgVv9e4kv7uWYm+rP99BOdUV/3Et8taQ7qj099efJsJyfuvzTiO6MzE938KhnVp4xH40690UmYVpx4ppygbEmnLNNcjkpdWGH/I8R3ZjyjKYG1cWdiA3HVxJ9V/M9YwT99yorPmffPS8/KiUlvD1iU+G4NfEQnSV35jxDfIyK+EBESpKOb28pOiMhEhMs/u2dz24whuaZ79zow+uoNRfRkBo2djzZEn42SP42Dxn2GiPbGcHWqw0hevJOIKv4Wpx2J9Kmt3lmW6VBRkjeTurJV50fYnuv3KCa19mhz4pGkl/d6ZzQiQHvtxpY0B2GjZ2fkdfU4r0x1oG1R+ZjRmZk+q97RuCsKyIR8FHTSOLXs9Uy6E33xhGvUzpm+3897dXrWSJblw3pfN53th8ezDHDqt1a6mn/Wj+8eLtBqv/c1S3x4i/j62cUROb57CGgZBY0eiQaovJew/ZYowRYiUQ7kLFGfFeQt9+91YLwz+sEDrxRStOhXyTxBHuWEljhI3lYZy3MSX4/tzCR0i7yOjK/H1ZOPcqODSOqoPrVxZGP26PwWnTjimSixKd99LtLLez2ZG21o3mM3FOnaciRbGY27X/s1VhPf1TozK8PI50hfZ0gv7xepa5EVH/Ec+Uafi0zd0S+YzeJw7vv9PonRl25bkdmtbZbM1TYaql29cVFE2MvNHi7Q6ofnozM+sIlLizR6ksHD0VMQEE5yQEabDWQ0o/WqA8orerP9gcI1Y/hQ7tlood69hUiUwI+Ue6sA73lujwPz740sP/qIkievUsAeAfJEayavT8a1t9FqFr9zEt8jZvr0N5rqUMPGk4+aPkWWJL3T6+nkXp2fHduj7t9CfCOkFxxXLflKPyN2ao/dULRo1omJ/JBXymkOXPeLAK0mvit1ZlaGNe49PYySXi+PkvlelE72bSRz3MdGdqWCzcrOLCbnut9HTlureZ5Mrko99fpbCyRFxqXlQ/ZwgRJ33sGYs1dFG3Bngp3VcWxVsGV2JcUgcb13IDUNUZQvumzLM2oTO0g5vuLLFcMHYW+9W++cjRaeSwHu13tmHVjryLjIMpRXFB9R8s+2JkOKHswqvt65ZInkNEjnIr4er94mEh3j9IkJIdpKfL1twPnUlt8jS1OePLcmr3t1fgKOw2+dJb7oBGdl8nnpFrHVh3t8yhiY6Win2U5pl37rqCJf36zd8M8qmjSrkzhjltg5xUfO1RMgMIO8rZoI9PBbTXxX6Axtah3t1OsLuD7FSu90BmTj0VZ0DGWtPvwvx4zplCWNUc9mi2CNPrLAx4kIqOHfHzq9XPyFfrNha8b+zerGkfcr8NOaeCgQ2VohGR3jWra9tvJa3qOJWC8YJRtQTkL2cAHfDtp5zwonSuhcbn6Xv0Bn+DuyOXX1mLNfgqbSHmGkowguUdgR6VUDGeyPWqntONc9dJydhAg15/V6Ul0aPjrPrKB1tBmDRB9GS3hTAN6Cm2ccmL+3nLT4o1Fas3cpeM3hyQDWjKTPN/JEANnhXD+WgGpGw+8o3ppPXhvicxDfKOmNGLFeH0bLm/5Z8NSO7Bbp1f0iN636FcEvZWWlzl+Ses4QX8k7evLJRic4WQOb60mqn5SUDos6b042EjtYkkO9MxpBnbEbvgs+zWF0LB/yxgWhkXNT232EFD9G+19oZbTauEomVhNf2rVVZ3jWrwz5FTFvR2r+OTLufkKEL65dnBLA2Ph3q+6WDWilvEBoKNgG6vAfn/CrhhAg2oNNuuajzbwNr5232/ObPZ9cGyfvM3sTksiGx9bmt61cQJN2Jm+8n/N6b05y4FcIsVFvsQIn3HS02ShkjOHh5TqyCGOKkGGMmdk9wwpfwdlyttqIiPp0CxSHA7C9wfaGT1+CqRl0DX6EaNdV+nb/1efPjCLw/t4e0YSIlkolotNSNq0YPMme9e0QeSXiW36Ewc8sGSV9VpEv/WCIkU0OMB9twpgd4SOJLwr/m1YwhujbK6z0Ihne8M2kc8xGfDW5Bat3BzD141kjYSxVl+R5tc7PjutR93vHNspnLmW616byQwz+PeUmGJ9LqK+0cVoIF5E+TgAZfT7Wt2XGbvjn1L8RDuXZ1XyZ05MbT4B0vuc5yc8RxHeLzghbn4rng1Syu7oP3N9kBcLIUYlE0zim8B0NQSuf78ljLeCh53mv/6IqfcWnE2kuV7P8hi/JJ3VzlSchcO+NFf3ea98l/9bSi5HfHPlk9Rnc3nDCWkdTtsZcz/iJSzlJFf9q+XN/RGeUC5Q2qpyo+ePs6MOMvXrY2I+IrweATwESLS2PxPhj+9sHrcwuL/l8rdoAlDMTnKJ/BwSBiDGkHGDL331HlSc4kxt6yUqyt21gR2QcZ6dJjeqE0HLESS1yr4kQE50WIZOC6YxAzm/k4hmOwOoZKP+snmEzIsubELXaF/kUEYAw64JQEf3/VStHLH8dQXyRURwRqQNgds/KyDDRXzmQJ9i/ew7MwfPVf0aIL3LyPCs6sxd9IwrZ+8xo+R5FGrEbjIuuWv9W6nzZjvvx/4pCMrb+wmi/y8r7rHj59GQu0t6a08EhvdxKOTlBd3/Zim8LZITTdT5gJZIisNVu+L7IuY0iy96+Izc/XpE7Of3W7xEMt95zBPFVW2Z0xj8Dph+34qPesqn+s/H+M+LIS0uffXApglMrcAJWHH34oBX5A+rDRtfsicYVPbmxUvoM2a7W75G2XuI9wumpJ73E90k/W75g5JP5/SVWFKAkEES0NMrX0EMIKBMkfDiFa9afc17wiAuMVifkH3j/THbBI8Y6SnyPEhJ15Oj0A2YKDHj0C29H9TfrvR0IyDGx2WJFNBlDD7knUs0kcoZYHoUofWSyi3MiMnjtEZWjcMp67yYCyq+m9yvTqO4mmtnrIxBg4sL1pZMNPyIIdES7D6/zfhNfOqjcrV6u7x4gmEWwKzCN0x4U89lEIBFIBBKBRCARSASuHIFLIL5ASMTrnpXI0u4M5CwdvN2Kzy2aeT7vTQQSgUQgEUgEEoFEIBG4JQhcCvEFTiK/H1lIfrUUVTtu6ZYMX3YjEUgEEoFEIBFIBBKBRCCKwCURX9pMusP0mWyNzq6sK4pn3pcIJAKJQCKQCCQCiUAicKEIXBrxvVCYslmJQCKQCCQCiUAikAgkAteOQBLfax/BbH8ikAgkAolAIpAIJAKJQAiBJL4hmPKmRCARSAQSgUQgEUgEEoFrRyCJ77WPYLY/EUgEEoFEIBFIBBKBRCCEQBLfEEx5UyKQCCQCiUAikAgkAonAtSPwf/RFCqAs9MSiAAAAAElFTkSuQmCC\" width=\"351\" height=\"19.5\" alt=\"C(x) = -1.605+9.496x-12.317x^2+6.528x^3-0.986x^4\" style=\"width: 351px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 136px 8px; transform-origin: 136px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the distance \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"16.5\" height=\"20\" alt=\"Re\" style=\"width: 16.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.258px 8px; transform-origin: 132.258px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and determines the hydraulic conductivity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eK\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.625px 8px; transform-origin: 83.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e by fitting the Bouwer-Rice formula to measurements of displacement as a function of time. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 412.7px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 206.35px; text-align: left; transform-origin: 384px 206.35px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"455\" height=\"407\" style=\"vertical-align: baseline;width: 455px;height: 407px\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAl8AAAIeCAYAAACFu2rUAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAHRrSURBVHhe7d0JuBxVnf7xk5AFshASloyySCAwImsIqxiBJCAqiJCwiTiCyqaOIqIBZ/4MM05AEdFBZJHFERUUgiBuIEQQEQTCEjZBICEkjmFJCAkJWQj/vKfrd++5leq+3VXV3dXd38/z3Keqq7rv7Vv3VvVbv3PqVJ+313AAAABoiL7RFAAAAA1A+AIAAGggwhcAAEADEb4AAAAaiPAFAADQQIQvAACABiJ8AQAANBDhCwAAoIEIXwAAAA1E+AIAAGggwhcAAEADEb4AAAAaiPAFAADQQIQvAACABiJ8AQAANBDhCwAAoIEIXwAAAA1E+AIAAGggwhcAAEADEb4AAAAaiPAFAADQQIQvAACABiJ8AWhZr732mhsxYoT/mjVrln88efJk16dPH/81atSo6JkAUByELwAtbeHChf5L4WvixIlu2rRp0RrnZs+e7ZcDQJH0eXuNaB4AWoqC1VZbbeXnt9xySx+2NP3qV7/qNtlkI3fxxZe4O+64w68HgKIgfAFoWWH4EgUvKl0Aio5mRwBtY/r06dEcABQX4QtAW5gyZQod7AG0BMIXAABAAxG+AAAAGojwBaAtDBs2LJoDgGIjfAFoC4sWLYrmAKDYCF8AAAANRPgCAABoIMIXgLZQTZ+vCRMmdN33UV9nnnlmtAYAGofwBaAt9NbnSzfffv75551u6mFf1113nXvggQeiZwBAYxC+ALSFSpWvk046yd98Oz4Cvm5FtPvuu0ePAKAxuLcjgLan5kZVxm6//Xa3wQYbREsBoDmofAFoew8//LC/6TbBC0AREL4AtD01SarZEQCKgPAFoK299tprvsmRQVgBFAXhC0BbU1OjOtzPmDGDKxsBFALhC0DbO/HEE93w4cPdKaec4ithRh3xb7zxhugRADQG4QtA2xs1apRbsGCBH+dLIcwGWd1jjz3c4YdPjp4FAI3BUBMAAAANROULAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgC0tOnTp0dzANAaCF8AWtqECROiucrOPPPMaA4AmqvP22tE8wDQcvr06eOqOYxV+zwAqDcqXwAAAA1E+ALQ0saOHRvNVUbVC0BR0OwIAADQQFS+AAAAGojwBaClVTvUhDrcA0AR0OwIoKVxtSOAVkPlC0ChzZo1K5qrr0b9HAAgfAEotDPOOMONGjXK3XjjDdGSfF166aVuxIgR7vLLL4+WAEB9Eb4AFNqGG27oZs+e7SZNOiIxhKUdasJC1ymnnOIWLlzohg0bFq0BgPoifAEotFdffTWac4kh7MEHH/TTaul1YegyixYtiuYAoL7ocA90ON3z8LzzzosetRZVvW6//Xa3wQYbREvKU58uPT8MXK3kkksucSeffHL0CEAro/IFdLhzzz3XN8kV9evEE0+M3mlPWq7g9dBDD0VLKttqq63cjBkzyn6/KVOmJP78onwRvID2QfgCUGhhs6MoJKl6ddlll/mK14QJE6I1vVNzpV73/PPPrxXC6PMFoFEIXwAKTR3uxUKXKnXVNDNWkhTC6PMFoFHo8wWg0DSC/a677lo2cOUxyKr6g+lr/Pjx0RIAqB/CF4CWtttuu9V8xSMANBPhCwAAoIHo8wUAANBAhC8ALU19wqqhPl8AUAQ0OwJoaXl0uAeARqLyBQAA0ECELwAAgAYifAFoabpfYzVocgRQFPT5AgAAaCAqXwAAAA1E+ALQ0hhqAkCrodkRQEtjqAkArYbKFwAAQAMRvgAAABqI8AWgpTHUBIBWQ58vAACABqLyBQAA0ECELwAtjaEmALQamh0BtDSGmgDQaqh8AQAANBDhCwAAoIFodkRdPfDAA+7GG2+MHvU0bNgwd9RRR7lRo0ZFS4Da7bbbbu7BBx+MHgFA8RG+UFeTJ09206ZNix4l23LLLd2VV17pxo8fHy0BAKB9Eb5QV6pKzJgxw8+H4eqNZSvdM3993C1cuDBa4taEtOvd4YdPjh4BANCe6POFulLToqi6dccdd3R93ffnP7oFCxa4Sy65xK+XT3/6RDdr1qzoEVAdhpoA0GoIX6irRYsWRXPJTj755K6KmKpgDz9cqpIB1ZowYUI0BwCtgfCFurLKVyVHHHFENKcO+oQvAEB7I3yhrnqrfMVVE9YAAGhlhC/UVTVh6vbbb4/mnNtjjz2iOaA6Y8eOjeYq49oiAEVB+EJd9Vb5uvTSS7uGotCHKMNNoFaM8QWg1TDUBOpKnaF1Ndrw4cPdSSed5AYOHOiWL1/ur3S87bbb3OzZs/3zdDWknseAqwCAdkf4Ql2F43wlUSj7yle+4qZMmRItAWqj0F5NxZQbawMoCsIX6soqX2IfkGqKDAPZiSee6C677LLoEVCe/pfuv/9+Px6c/Q9pGu/3pcebbLKJ23///d0uu73PjVh/AOELQGEQvlBXFr7UrBgOoPraa6+5iRMndn2AnnvuuVS/kEj/K1/96lfd5Zdf7kOV/pe22WYb9653vcuvP+WUU3oM1isvvPCCe+2lWe6BR5/1/2Mnn3CUu/SqnxG+ABQC4Qt1VS58mREjRnTdYkjTDTbYwM8DRk3Xu+21r/vUvxztH2+00UbulVde8fOiK2Qffvhht7zPBq7vipejpT3p5u7nnXce4QtAIXC1I+qqt6sdp06dGs05X90A4lS5+ttTj7h77rnHPw6Dl6gatnLlyrLBS69XUyUAFAWVL9RVb5UvseqXOt/rKkggpL5aapL+/e9/39W/S+PHjR49OnpGSd9Vi9zqfqVx5Z5/4e9u4Sv/55+/3fY7uXH77OWbLTncASgCwhfqyq52rBS+NASFPhhFfXd0v0fAKHxNm3Z99Kh0CyqF9FdffTVasrYNN9zQD1uy7bbdAW3SpCMIXwAKgfCFuqqm8qXlW221lZ9XVYNBMxFS+FIo32STjdxLL73ipyGFsd13H+uWL1/pBg7sHy11bv7CVW7k8H5dryF8ASgK+nyhrqq5t6MqFApdoirZAw884OdFV7qpWVIfwPZ14403RGvRKSxwvd2/dEGGApUoYKkjvdj/mq1bb503/ZT7hQIoGsIX6qraD76zzuoeZkJXpokqYptsMtKPD6aKhb5UAVEFQ7clQmdRqFIlSxUuhbHXX1/iH4stUxjTtFQFG+jXVXMCAACNRPhCXWkYAIWnAw88MFqSbPz4if554Ujl6ge20047uhtu6K50qT+YnnPFFVdES9ApFKoUwNS0qJC1/vpDfAATLbMwpqkeW+iyUAYARUGfLxSWmhvHjBnj7rjjjmhJyZlnnumbmp5//nnuBdkB1NT8/SuudRsMKh2qLGgpfMnpp5/RY8iSUPhc+nwBKArCFwpJTY7qB2YDsCbhX7czKHzpasd+K+e7eUs27KpuKVBZZ3qxeTU5mteW9ul6/vHHH8//DIBCoNkRhTZp0qSu/l7xL3QWC17Wn8v6eWlq86LmRlW8li9f3iOoAUBREL5QSDQnIk7NjmFVS/R45syZft76dekiDy23gBb2DQOAIiB8obDUsX7atGl+uAl0NoUoVbKMdajXVP3/wipXSOvVHEnlC0CREL5QWOeff76/5dDEiROjJSUaZkKDt6JzKETZ0BGiMBZexahwZdWukD1PUwAoCsIXCktNj7qNjK5qDAdZvf3229e6AhLtLWmoCFW5VO2SeLga3HeB72xvlS9NAaAoCF8oPAWwsKN9OO4XOkOpo/1yH6KsudGqXLp1VTxchZ3zqXwBKBrCF4CWEL/CUTTVGF/xcGXBi8oXgCLKd5yv57jlC/LxtlvH9XFv+Wk5Wh96c82H7brRhyzzrTsf0t+/7+gT/ThfNo6XmiB138ZwnC8t23TIq10VL1tuoUzhS4Osrn72cv84/r8DADXb+uRopnZUvlBI9uGoabmvuPDDm/mSVpxPohBl9wm14KVlClgPPDDDD0Oxqv/IruEotFx9whS61PfLlPvfAYBGInwBKCwLStZsWGpKLDU/2mMNNaH1qn5pqr5h4fMU1kylSioANArhC0BhWVhSiCo3zpfYlY+latfArhBm6w1VLwBFQPgCUFhh5cuubhSFsbBPV3ycL5sPp0LlC0AREL4AFFZY+SpNS9UsTa2ZUUNN2PpyrAJG5QtAERC+ABRWWPlSx3lVuNS0qKk1M15wwfn+OeVYHzCh8gWgCAhfAAorrHxpKAlNrRnR+nf1XvUq9QETKl8AioDwBaCwwsqXxvCyECWqfsnMmTP9tBK7PRGVLwBFQPgCUFhhWLIxvEQhzEau11ATcVpuV0Oq2VFNlELlC0AREL4AFFYYlsKhJRTCNOhqGMZsvfqGabldDalmR0PlC0AREL4AFFbY5ysMWyYMYzaqvVW5Sn3CSqHMUPkCUASELwCFFfb5SqK+XBpqQuutymWhyzrjK5TR5wtAkRC+ABRWGJbCezSK9eXSUBNhRcyGozBhNYzKF4AiIHwBKKwwLOkejaUKV+k2Qxay4k2RVgEzYRij8gWgCAhfAAor7PNlzYgWrBSoFKziQ01YPy8LanqNDUtB5QtAEdQ1fM2e+2o0BwA9VXN8CPt8KUhpaiyMaaiJMHCpf1f8SkfNC5UvAEVQl/D1w2n3uiE7f9l993+nR0sAoKdzLvq1G7Xfv/njRTkWlhSo4n25xMKYwlV4taM9LwxlQuULQBHkGr4sdB3/1R+5N954ww0buh5nmgDKUvVLxwuFsJt+/2i0tJuFJQtU1nwo1qQoVvGygGbPs1BG5QtAkeQSvi699FI3YsSIrtBlFi1expkmgF4phB12yqVrVcIsLFmgsiEjRE2KCl0aakLhykbA1/J+K+f7qyO13kbCF45HAIqgz9trRPM1mzVrlhs7dqxbuHBhtAQAsttlu83cH37yJbfB+uu5PqNPcdOmXd8VwOJTscpWSIGrFMZKVbFTP32MW/3s5QQwAPnY+uRopnaZwpc8N3eB++Z/nekuv/zyaEm3s//1w2u+Do0eAUC3E756dWJ/ry8eP96d/fmDffBS5avv6BN9+CoXsFTZ0uj3xsKWKmGi5kmFtEmTjnBvP3uJXwYAmWUIX5mbHbfebIS77LLL3PPPP+8+OWnvaOna7GyTKVOmTJModC186Nvu21872gcvCZ8fdpw3Clnz5s2Lqlyl8b+sCdJYlUzo8wWgCHLrcD9q1Ch31TeO9wfPMITp4FnuAMyUKdPOnZowdA1bE5TC9RaWFKjCjvOisKWO+F//+tf9coUsG44inNo6if9sAGiGXK921IFNZ6wKYbPu/Lrbb89tOdMEsBYdK4768Ni1Qlc8HNljBamw47zYOF+l+dL6UgBbe0BWex7HIwBFkGv4MjpgbrnZhj58xQ+mACAHvX/7Uof6hNBlwrCkfl0WooyFMS2PV8ZE6xnnC0DR1CV8AUAewrBkIUpDSAzuu6DrRtsaakLL1f/LmhvtufFQRuULQBEQvgAUloUlBSsLUepM/8bqEb6/lx5PnTrVP0c33rZmRz1Xr1EAY5wvAEVD+AJQWBaWbIR7C1Fi4SrsVG9XNerxpkNe7RHEhMoXgCIgfAEoLAtLClHWed6aFFXpkqefftpP9RzROjVJruo/0k+1XOFNqHwBKALCF4DCsrBkgUqs471d0Xjeeef59WLL7FZDpabJ0vhfQuULQBpv9H2H/1rUdxv/Nb//e90L85f6rzQIXwAKKwxLqnQpUIVjeFnoSlquqZZbxUyofAEI6RiTFKxm9f2A/3pu4JHucTfZ/aP/OP/1Sv8x7sXVO7slfTdzq1a+6b/SyHx7IbHkN3j5k67/W4v8fD9X6nsxePX/+SkApGH3dlSQSvKxj32s4npREDv++OO5tyPQQRSozCo3xL25zsZ+fulbQ93q/sPcsuWr3XoD+/rpwIHr+nWmr1vhVrsB0aPyli9/0+2w9UbRo+rlEr50f0e5996/uOOO/JCfl+133MXd/Js7/PwLzzzivnb6p93KdUb4xztuOcB97/yvrglpy91TT8x0p/z7T/1yeffW/+Su/sYn/PwjT81lXYR1rbPuZ79+0P3pwefcg4+9EK1p3nuRVlp32tevd6+9vtRtsP4gP16g7v949dVX96hgGVW4Tj/9jK4rHsvR83RvR409qO+Z9F7eXBPednnP5qxbg3WsK+o6VaoefeqFrnXyT1vu7C797jk+VM2aNcv96xdPd+sOKFXNt33PLu6ss9U1YV2fNc4647M91p0z9Tt+Xuv+82v/6ufnLt3Ijd9ts6rWyTable6gUYtcwtff5paqXEa/2Jsr3uqayuuvL/K/QL9+pY6vgwYNdmPGjPHr58170f3j73NLy1c844ZsvJ3bafT6voq2+PXX3BNPPukGvL3IDV+/lEx33u5d/uz1tdeXrfkDveiXyZabbugPrMI61kmz1k295Hfuaxfc7P7wk9OiNc17L9LK60bt928VK1ulJsbyVS+jCpn+HuV+nsKeJB1fWMc61jVm3Xbb7+RWuYFu4eur3EN//Ydftnrgpm7Quv3cP48Z75v59DrlCVGmGD58Qzd69Jb+8Suvvu7+9sxTfvmqVavc+usP68oaqlI98tAD/nmStM4yir7nVqO39fNJ6/TzVkeVsaaFrxdfWtYVsqTacp3olzpk4u7ultsf8MlUgW3FimU9Xm8hTt+3X/913eql893AdUqXjg9+a45buc4wN/St5/0fbNDql/wfFUDrCvt69R19og9fGkZCw0lo2AgNIzFvyYa+Q73G8VIn/CQKZlqv4SZU+Xr72UuiNd30s8odM1jHujjWpVsnK/oO85/TagIUfXavcMPc8rf6+WbAOH3eK2zZ1Fg+CLNBUmaIU95Qzth/7+3d7+6c4efLqZRjwnWa33qzUoteLXLpcK+wFCr3hpP88Irvu9mzZ/upbbD4620javmKlavdqv4bu2V9N/Ttua8Pfq9b1HcrN6f/h9zf+09wzw+c5P428OO+k5we6+uV/rt1daTTa5b3HdH1zwCgeHQQty+z7K3SgVJXMmoYCbui8YUXXvAhqzSsRHdne9H63ka4L/eBIaxLxrpknbpO+9XSvpt0dVrXZ27YaX3OkGP9Z/Pc/hOjz+Qx7qX+e7qFfd/tX6PPdH2+x78UuMKpfZkwG4SSgpcobF128bfdvLlzujJHOfHvGQrXVXpeJXVpdqzFnjtt4RYuXOiGDx/u/vjAMxWTaK0sncZTqgmraEreI9zzpeVuie+LNmD1oor/iADqSwf1eOVLUwUxhS/ry/XTn5b6f+hx+DyrlKlCVq7yBaA8FSvi1arFb5Wa7a1aVe5zNr68CCxzrDdokLt/pk7csmUOVdPSdLhv6lATSqDaCKJpb0m0VvYHD//wmrcvpWmroumfSElcX0rmqqQ9O/AYX0HTl9I7VTSgscqd/MTH77JqlypcNtaXTW0wVmFfBdamzzGrWoVDLOhL1SobYkGfj2pp0uel/4o+S8WmUm55s4WZY9nSpe7aa67081mkDW916fNVLUugJq8kWg9hxcz+mcJl0nflosQqmtAXDaidVb6sshUXr3yVY8+j8oVOZSceah5UFWuB28o/DqtXquIMHTLId+9pR/XIHE2tfMX7fFXjkou+1WMjiJJo3tWvvFiSD1N8uExfSVU0G5gtXkWzCprONjgbB5LZCYtVtuJTVba23HJL/7gSNUEK+xo6gf7PrZJlfa/U50qfQ9bnSp9TYV8rUQhp1+BVr8zR1MpXrX2+lBTfv/u2a20IKXL1Ky/x9nCjyllYMaNahk7XW+VLSkGs8lATeg6VL7Qj32HdDenqi2XNgXZlX/h508niVS+TNXNo+6a52rEp4ev5Z59xv7jhJ27Q4KFu6RuLfTvsaV85O1rr3CEfPcJttvm7okedQX9A2znCQCZhKFvXveoGri4Nagt0Ahvh3jrOq4qVNOBqbzTOFyPco1UpZIk1GVpzYZJOD1pxGhPsN7dMq1vmKMwgq9WyUt8WIwe5Z15c7OeNpfZOF561hKFMgUwslK2/+nk+VNB2rPJlVzsmha6ZM2e6nXbaKXrUkypevY3zBRRJPGSJglZ4Cxz7LEi6LQ7WpqyhfumVMkdaTe3zlZY2hnXUj7e58g9VotBlZzE2ry/fVr9mh7SbfM4d+nF/88+k/mT0c0GrCk8oylW7zjtPtw7p7xYtWuSnNt6XqDmyt3G+gGbQ/2K8X5b6BFs/YfUZDvtlhZ+J9jnA52R1LGdUyhxppf0b5BK+svwS9lrbIKheuANq+w0bOtjvqBq4zobMeMId5jtaasfWDk4nf7QS+z9VeIp3uFfI0tTW2yj3GlpC43sZNVfa86gOo9HCkKUTYwtZ/ri8eh9/rF7Sd7Ou6pYd18WmyE/emUOVrzSadrWjIXTlZ9HiN6K5bgpmfmdes2NrB1eVTKFMO75deamDAqEMRWRhSeEpHL9LTZDW/8vWi60PwxrjfKFRdAy1oKVjq74sZKmV4h8rt/THYgtYVjWJP0b95J05mlr50j8Nmq/SP4Ht3KqOhY/fWD3U36JJoUyl7ngos4MJ0Axh5StkAUsVLg01YWErlNRMSeULeYmHLH/cXBOydHKrapZaIcImw3CK9hG/QK5aTb+9kGy7+VA3Z/5SqmAN0NuFDFq/3sBSJreDRLhsyOq5bt23Xvbzby2Z5YYPepsPNNSVXe1oHefXDmKloSZsGlIgU0DTcq52RBYLlvZz6wwZ5d5cZ2PfiqAmwvixEq1BmSOvDveS5mrHXCpfaft86UM9bH9N23aK6vVWIrUzs/BgEp6tvbzynf6sTiX0xZt8zN8wVWd91p+MZh3kKfx/sj5dYZ+vwX0X+D5dpeVrV78UvBTarFmS4IVq6X9Pgcv6aS0cfrhvJdAxUMfDpGMlii9LH/U85VL5emH+0q67jqdB5as1WUVMf3fNW7BTGXajlQ/7gWIHr/4/vwxIq1zlyypdGmpi993Hdi2Ps+d1cuXr8IsGu8XrlIYtyGLAOm+7X5/0ePSo/Shw6fY7S9YZ5atb/fqv6z/bBgxYr6tAoK4bfFa1JvucapvKV98+fVIHL652bF1hRcyCl/6eKserOqY+ZBr+gqoY0rL/GYUnq3yFFS8FKw01US54Sadf7ahtePrB+ex7J419NJprH2HfLV0drj5bVt1avGSpn9rnk45zfFa1Lv39ilL5yiV8SZpOZ0qh/CO3F11xGXbq1z+7XWWp+4rpAKcyPp34UQ0LSwpPCl2ywaC33ar+I/3UQpfW2zhfITVDhldFduIJgLbhe0e94bbeKP1V6aKq1yG7DWiLbajjj42tpU7yak5U53g7ibRjmD1G+yhK5sgtfKWpfBUphSIf+pvG/7n1v2EHMx3gFvXdqkdVTAdCqmJIEla+Nh3yqp8qUGmaNM6XhTETXhUpndrnS7/3cbu/FD1K51N7/cN/n1bchguW9uuqbv1t4Md94FJ1S8cjHZviw/RQFEA1VEBKm2FyCV9Z/lHttfoF9IugPYX/IwpjVhV7fU0Qs8FgrSqmAyVhDGIf9ApZ85Zs6Kc2hIRVtDTURLziFWehrJP/r/YZ9bobMah0cUKtVPU6fOdXoketIaxu6eIgXSSkoXX0WaNjj50Q6thEhQtpZPm/KdTVjuwAnUt/+36D/8lXxXSg1HhjVMUQ/u3DZkZR8FJF64ILzu+xPKRQFjZHdmrlS7Qtj90hXWf5g/95bjRXXGF1y8bcenPgaB+4VqwsjRyv44ydCIYnhOgMWSpV5aQdZD6X8LX67bdT9fkKd4S8Nwhaj0r/OkDqQKlO+1TFEIaleJ8ua1K0DvXxeztqXgGNezuWaFuqz5aqWLXQ84/aI9tYjvWikzMLXFbdstv0qLKlDvNW4QLCzJEXfWalkUv4yutqR5odO1tY+QwPmFred9BIqmIdyP6+ClgKUWIhywLWnGcf7RGyVCFTRcwqY51+taOxbVnrFYsHbPls6ubKvFl1S/u/Vbd0ZbWq5nZlYljhqseHLVpbUQo9uXW4z3q1ozZI+OGLzhbvAGsHVo25I+osG1bFdEBWGEN7sbAUXrFoHeut8qWhJhSyNB9WvCyAdfrVjsa2ZS3VLz3vE+NWNXW7KXDZQKdW3dL+r7G37DPDghZQSZg58pI2zOUWvtJUvrSzhJUvwMQPpPY4PLO1wK6zXrs3pQ7QVhVD67MP/TBshayiZcvtOfGpgph0cuUrVG31y6pejdxuClvaf6269cbIY33VW9VvOwlLukIR6E2YOfLS1D5fWYIToQtp6X/Hmqq1U/nKWP+Nu6piGsrCqmI6oKP12Ie+QpYNLaHqllGTotjy+Hpj4ayTK19i2/N97xlYVfVr0h5vN2Sbaf8M+27pREr7sWg/Vx8udW+xkzAts3mgFnlnjjSFJ8klfKVNkvW48gCdRQfg+M5kZze69ZHOlu0+lFTFWo998IfNh6UmxlLQ0jINNRGvdhk9h6sd16Yb4quqVYmGpth8+PK6bDP9XePVLe2nYd8tO6GSpP0caGW5hK+8rnakwz3yov8rHbjtQO4vNe8/zI+2r066vrMuVbHCsw9+679lfbssaGmZhpqIhyyj53C1Y0+2TdWXq1L1S4Oq5kn7mVW31FczXt3SfqqpPheAVpG2gJRL+Mrrakd2OuQt/J/S/6i+1F/Ez68JY1YVUxij037xWFhSeLIAFrIQFg9ZRmFMN+Sm8rW2StUvq3plFVa3Fg4/3L02aG8/7pbtg9o/0352ALWqR2tbU/t8SR5XOwKNoP85/e/pain1JbErKHXJulXF9IFBVaz5LCxZiLKO86GZM2f6qYKXjfFltMxuyC1Uvkp6q35luRVRWOHS/qRqs1EFOmzxABqpHv97aU8ecgtfad6ANkRY+aLZEY1iO6Gdedv/rx4rlKk5JF4V44O78cJtbiHKOt5bM6OGmrA+YOut82ZXQLNler6h8tVN20JXMu6+xeJoSYluwJ3mJtxW5VKFSzeqDitc4T4GNFPehZ6036+plS+xFKpfQB98QLPpEnb70FCfsX791/VDWTw78Bh/Nq8PGYJYY4RhSWFLFLAkvJF2vC+Y2Lw9X/i7rS3et6uWqpdVuXwfytX7+LtSaL+xfYiTahRJ2NqWhyz/27mEr8HrrpPqrEZvPKx8AUVgVTGbV1OJPkj0/6qrsfQho1H27XZHqB8LSzbC/doBq+c4XyGrfIWofK1NfbvUx0uGvvV813wlOgHRicjfB33UV7nsdj4mvg8BRaD/xTwrX1n+t3MJX2+8+Vaqyle4gwJFpv9T+3/V1J/drznL1yXydtUkVZX8WViyYSYUpsI+XQplGmoiHrLEQloY1vgbJbPq1+kHr1N2G+lEw0aa1wmIhnEZOmTQWlWuvJt1gDwVJXM0tc+XsKOiVel/Xle6qG+LruLS5fNUw/JlQSAMUZpaCFMo01ATSZWvkIUzKl/JVP06euzL7r2j3uixjd5cs12tyqX+jwv7vtsPZKywpSb5eAd6TqjRSVR00lBbaeQWvtII218VwrK0nwLNoACmDxxdManpsnW3d68OP9q9MPAjVMNyYEFA4Ukd5wf3XdCjA73YUBJhRSyk5VS+evepPf/Rtb11AqETifkbfqqryqWwZXTc1v870Ml0/NdQW2nk1ucrDe28YZ8vdma0Kqv8qglG/9OLlw/wV0uqGsao+umFYWmDQW+7Vf1H+qlVwOSFF17o8TjOKmVC5as8bWsbIkJVrjcGvscHLqtycXxGq8u7WTxLwaipfb4krHwBrU4fUHYiYVUxP2zFoAP8h9rsJZv5DzkqMNUJw5Jd7WhDTVhFS0NNWLgqx+4ByXZfmw0RUbqIZExXlStsUiR4oR3Y/3NesuwXTe3zFaZQbRCaHdGOrHKgvjLrvGOCH7JCA7pSDeudhSWFLF3tqE733Z3vuytaWh82O2q5jQNmfcOEyldJWOWy2/zYoMMWuoB2lGehJ23RSZra5ytModog7PBoR2HlwP7f9WH39/4T/PhIVMPKC/t8qXpltxjqHki1e8iJsNnRwpqm4fJO38ZW5SpdHDLGnxBYhTb8PwXakQo8dgzOQ5qik2lqny8JK19Ap9CHnP73VWlQNWzOkGPd7L4TqYbFhJWvTYe82hWmNFVFS6FLQ01I2CFfy60jvjVXSidWvhbEBkJ9c+BovzzLBwfQiuy4m5eW7fOVdwoFWolVGjRVs6T62ujD0e4tqQ/NThdWvuYt2dBPjYUwG2oi3iHfKl+admKfL6ty6XY/ukOD7tQgujqLChc6VZ6ZI8t+1NQ+X3mnUKBVaV+wS5b1IalmSV1xpj45nVwNC8OShaqQVbhMuN7mrZ+YtHvlK17l0v+Rjs3W71BTXZELILuW7fMllkIVwuhwj05mlTDr8KypBnBdMPhA97ib3FUN66TqTRiWrAN9SAFLQ01oeXz8L9MJfb70f6Gx5RTY1ZfLbvejLwmrrJoCyK5l+3wpbIV9vjgooNPZPmEnIlap0FRVDN3OSH3DOmUAV/sdFbJ0I22xPl0WxjTUhOgG2npsfcHC55l2q3wpdCmUK3StcqXBfvWBYEFLXwBKwsyRhywFo6b2+bIDhND8CHTvE3YiYvPhVFeoqQ+P76QfXSnZrsI+Xzaul0KWKIyFzYyh8Hnt2OdLoUsj0Ct0KZSLql10ogfKCzNHHuw4nUZT+3xJWPnKkiKBdhZWw0Q7vZolbdwwVcLaUVj5UvOhQph1tBc9FlsfLrfmxnbq86XQpb+1Qpdu7G63tWJsLqA6eRZ6mt7nS82OWa921Abh4AEks8pXKNx/VAl7YcgnfOd83Qy5XYSVL2s+tGZFe6yhJiyEiYUwq5RZCJNWrnxZ6FKfLnWe16CoVLqA6oXHzDw0vc+XpHkT+jAJK18Aykuqftky9QnTB7KucJu3/rFtc4VkWPkKB00NH9tQE3F6XhjSpBUrX/pb6upFBWxR86L+9jpmhv8PACoLM0ez5dbnKy1CF1Ad7Svx6pcts6lCmD6c7V6SrR7CwsqX+m1pqoqWKHCpU31S8DIW0lqxz5f+dvobKlCXG6Mr/v8AoLI8M4dOftJecJhbs2MaeuNFSaFAO9GHtIap0H379AGuvkKtyMJS0j0dFcK0bObMmf45Iat4adpqfb7C0KW/oQKW+nTZla8AikH7ZtriU27NjmnK33rjlkLjTSoAahevhKlfkD7ANURFK44TZmFJ93JUFcv6b9m8gpWGmgjDlq2PN1NKkX93/W30N1JgXt1/mA9b+hsa+5sCaH25ha+0BwWrfHFgAfKlk5lwv7Jxwl7tP6ZlKmFhn68k4Q22LWzF7+1oj6WIlS8LXfrb2Ij0+qLKBeQr79Y2fb+mNjtKmqqVfTgIzY9AvpKqJpou7PvuaKiCbQofwsI+X2Fly1goC8NWfBwwuyG3FKnypW1vVzDaWF3h34yTUSBfdgzMi75f05sd0xwo9Jqw8pUmwAGonp356crIl/rv2RXCiioMS+EI94P7LuiqaGmoibDyFTYzan14Q+4iVL40FIiFrtcHv5d7LgINVJRCT1MrXxJWvjjTA+rLzvxsX9MHvwKA7h1ZxBAWhiUbMkI32F7Vf2TXjbY11IRY4AppWXhD7mZXvrSNNRSIho3QAKl266jwbwKgPsLWtrw0vdkxzYHDzsIl7w0CoHdWcRk6ZJAPBEUbniLs82XNiKpi2dARkhS64ppd+bIrGMObXqtfl4VhAPWn/S3PypcGl2/5qx0BNJadBWo/tNvT6L6Rf+8/oTAhLOzzZWzoCBvvK2moiVA4yGqjK1/hsBHatgQuoLny3PfSDC5vmlr5kqK0vwKdJr7Pal+0arSGp7CBWtUxvFksLIWVLuvTpalCmYaaqMT6ikkjKl96z9pmYehKe3wE0J6aWvmyM2+xAz+A5rAqmO2TNlBrM8cIs7BklS6FLZuGFS17rGlp1PvSc0yj+nxpG2koD22zvoNGuvUG5naIBdBGmlr50mus8mUHfgDNF98XmzVGWBiWwoqXpmFFS491taM1SWr8L1XLwqsipV6VL20TBVRdwbhs3e19Pzo15ap/V1hR5AQTaB7bD/Oi79eS43xJWPkCUBxhJcymjR4jLAxL5cb50lATWm7BTAFM8wphb6weUderHbUNbNiIJX0381eP2hWMEt9+8VALoHFsP8yLvl9LjvMVplBtEM4KgeKy/bWRY4RZWFIVy8bxitNQE+FyBTDpuSz/ypeFLl0lKnYVY94HeAD5KUqhp6mVr/AgpQ2SJsABaAzbX20/bcQYYWGfL1W04tSkKElVMaPn9Fs538/nUfnSFYwzlh/iXhu0tx+rS8N0MFAqUHzKKXmfGLXkOF8SVr4AtI5GjBFmYUnBy+7jaNSpXqHsgQdmlK2KiQ3KKlkqX+GwERttONwHrn791/XTeDAFUDzaP/OsfBVinK806pFCAdSf7bs6mNVzjDALSwpeClc2tpdYx3sbaiLpakd7vgWztJUvH7zWhC5dwRhWumwKoDXkmTk0zlfTK19KgLXKO4UCaIykCo/2ZYUyBRQFFYWwrM189noLT9afy4KVNTVqfXi1owWz8PlSa+VLP3/B0n7+97HQZWHTwicnkEBnStPdyuQWvtKO9GoHLjtwA2hNFkasGqQxwmb3nRitTcfCklW0LHRZsOoOZaVbDqlCltQ3zAZprTUMLlzzM9WpPqx2AYAknYRWq+nNjmGfryy/CIBisL5gmq7uP8yPf5WWhSWraGlq1SxR6NJQE7LeOm92hTILaTbVa6WWypd+toKXQpdQ5QJaW5g58tL0Pl9pmx3DyheA1mcnUpqqIv56361SB7B4n6/StOcI91OnTvXrwlBmHfTjy6utfKmpcc6QY3tczQigtdXjBKrpfb7SNjuGlS+aHYH2o/16xbrbuNlLNouWVC8MS/HmxkpXONpzwpAm1VS+9DMXDZngA1d4NSOA1pdnoSdLZmlq5UtvPKx8cYAD2o+dba7zjgk1V8DCsLTsrXV9mFIIE4Ur9QObOXNm1/JwvVhIq6XPl/qp2X0ZVfnS+9fxiZNDoLWFmSMPWTJLUytfdlCTvEuBAIrDDnr+HpE1DENhYSne58tClpZpqIlSlavnFY7GXiu9Vb50haaCl6pdOqbZcU3vnZNDoLWFmSMPLVv5EkIX0P7Cg96CwQdWHcDCPl/Wj0vCPl0Sr3iF7LVSqfKlqpwuELBqF4D2Q+VrDaXGPFMogOLSQc+uhNS4WdUEMAtLYWVLFKheeukVH7okqeIlCmRaZ6EtqfLl+3j13cbfGFvHMd2jEQCq0RZXO9KnAmhv1nynEKYAtmBpv4rVKAtLFrKMApV1uNdQE/H1xgKZhbakn6WrMXWjcDuBpOoFoFptcbUjBz2gM9g9ITWOViUWlqzDvFjHelt2wQXnd4WrciycxStfqngpeAFof3m3trVsny+98bDyBaAz6ETLxs56fuCkstUvC0vqMG+hS9Us60RvzYq9SbraUc2euiE43R+AzhC2tuUhS8GoqZUvvfGw8kWzI9A5tP/37dPH97HS8A5JAcyWKWCFHedtXlMNNRGy2xDZjbYV0OJXO9qNstX8mfcBGUBxUfmKhJWvLCkSQOux2xCt6r9xYgAL+3ypg711nFcYsw74GmoiDFsbDHrbL7c+YWFHfH3/5X1HuH/0H+fH8SJ0AZ0jbG3LQ9MrXwMH9M18tSMHQaDzhFUnDfMQD2Bh5StpRHuFLYmvH9x3gW9qtFBmVvQd5ub2L93sO20/VQCtScebvLsYNPVqx+Ur0l2aTbkfgFEYUgBTB3gLXWHlS2HK+n1Zlcv6ctm8pvLG6hFrVcDkH4MO9lOCF9CZ8s4cTb3aUZWvtPJOoQBal0KRxtt6tf8Y/9hCmHWwt6ZGC1RapqEmZL113uwKWUZhLBwPTAOoAkAeWrbPV9j+qhCW5RcB0B4UwBb2fbcPXlb5sg72ClHWjKgqmEydOtWHrrBvl7GgZhWyAQPWo+oFIBdN7/OlZsc0B7Sw/VUhLMsvAqB96GROwSvs8xWvetnj3ljVTOjmAHSusJ95szW92TGsfAGA6GQurHyp4mVDSITNiBIfaiIuqSIGoPPk3c887SgP0vRmx7DyRbMjALHjiVW+1Gy46ZBXfaVr2LBhfpl1utdQE8aaJcOwFl7tCKCz5VnoydKFoenNjmHli2ZHAGLHE6t8qdlwVf+RXYHKQpg1O1rY0mNrllQHfAmfp+MMJ3lAZ9K+X5SuB7mErxHrp09/YeULACRe+VJ40pcNH2EUuozClh7bKPhhnzB7no4znOQBnUn7fp6Vr6Y3Oy54fUWqN1GkFAqgOOKVL6tsafBUq35pKjbUhIWtpD5edrVjngdeAK0nz8zR9GZHSdvsyMEQQFxS5UtVLzU9aio2rpcNNWFsINZwGl7tSLMjgDw0vfKlZse0BzRLofTFAGDKVb5EYcoqXPGQpWlYAQunouMMzY4A8tD0ypeaHdMc0BS2rPJFXwwAJqnyZVc7ioUtPX766af9VCHL+nvF6flCNwegc4WZIw9Nr3ylHedLYSusfAGAJFW+5i3Z0E/DipZoqAkLV7YsZCENQGcLM0ceCtHnK20CDCtfNDsCkHjlS+JXOoqFLutQn0SBzJ4HoLO1VeUr7ThfClth5YtmRwASr3yJDZ5qwoqWOtTrcTnh1Y6c5AGdKcwceWh65SvtOF8KW2HlCwAkXvlSeLLBU41VtMKhJoyWW1hTKAuvduQkD+hMYebIQ9MrX2nH+RJCV/t75KEH3PZbbeh2/ueR7qknet6Hr9I6dK545UvhKakzvcLYBRecv9b9HrXcRrZff/0hXa/N88ALoPW0XeUrbbMjB8P2p7/zypUr3LKlS9d8CPa8z16lda1Ov9vzzz7jxh042R32oXGEyxrEK18KTwpRIVW0FLiSqmISrrfX6sCrvwsAZNWyla/wygP6YqDd6P/717+8wc1/6lb3xGOPuJumXRetQW/ilS+FJ4UrC1SiZkaFsjnPPuofx2+obevDqpmOMzQ7AshDy1a+xCpf9MVAu9H/9qitt4keObflqK2jOfQmXvmyqpZCmJoYjR5rqAmtV/UrHrYUwKzpUejmAHQuFXjybG3T90s71FYu4euNN1elqnzpjYeVL6Bd2P/2wYce4e57ZJb/Ov5TJ0Zr0Zt45csqWqK+XHqsSpfRY4UsC1th53ux8Aagc4WtbXnIUjDKJXwNXrdfqsqX3nhY+aLZEe0i3Ck32nB9N2LDjai61CCpz5dVtBS0rJ9XKLy6MWkKAEUp9DS1z5eElS+aHVvHvHkvur/ce7fvUF4Uei96T7V0bNfz7asWOlGw12lbVJLmxETfN00HfdsGtf4+RROvfKnZUMHLphbEVNGyoSas031Y/QqnouMMJ3lAZwpb2/KQ5VjS1D5feuNh5Qu10/bbf+/t3babD3X77Do6Wrq2c//zLP8cfZULC/qwt+eoo3ic/l76PhoWYv+93uOOO/JD7qD9x/qhIqZ86WS34NXuvjjV6tevNP5SWrpC8tRPH+Pfs96L3tOhB+3jdt9hc3fJRd+KntWTgom9Rs+3Lz3Wtkz63c3MR2b4Kxd3HL1x1+u0Lcq9bsYD93Zt03gg0mNbp22rr/B96ffQ/NlnfTF6RXn6XfVc2wb2+8S/rr3myugVxZbU5yspVKmiNXXqVP8cG0jVWMXLOuCLjjOc5AGdKWxty0OWY0lula809MYJXdlo+x34wUP9/Msvzy9bLbnphh9Hc87d+6c7o7mewqvxdhm7ZzRXooqKwsDVP7jIDwux3qBBbs+9x/l1Girixut/4iYdvG+vVaB42Fq1qvxtYXqj8DJu923d7bf+KlrSbdGi19yF3zzHh8WQwoeCSfiasWPHRnPOzZs7x5322eMTg5SC1+RD9vNXLop+f71W20Kvu+7HV621Y1f7+7380nw3fu8dEn8Xe8/laCgL/a6y8cYj/fsaPny4fxzXf8CAXA8+9ZLU5yuJAtfgvgv8VNWwsKkxXiWTVvjdAdRPUTJHbpWvtDgYZnfgBw+J5pz7zS3TorluCkQLFy6MHjn3u1/9Iprrpr/D/feVKjNqxtl00839vGjd6f/6KR/A+vcf4K75+W/c07NecdffdKubM3+pu/Diq7sCyNlTvhC9KlmWsBWnapuCoN7T6VPOcc+++Kp75sXF7rFnX3anfeVsv/zJx0tBybz22kK//KTPfsn94b4n/fv/xW/u9lP9Xmbqf0yJ5kq0DawCtelmW7gHn5jrf3+9VttC22Cr0dum3rE/sO+uPjwf/5nPu5t/d4//PfR+9F5FQTMpWE/78ff8UBYy9VvfdzMen+Xf16N/nec+f9qZfrnoe+p3nHzUcS1xwpNU+VKgilOwuveRuUF/sJ7VsbC5UvS7Z2kqAIA8NLXPlw6C9kGgDzcOiumM3X3vrg9pjRgf98fpt0VzJffec1c01+25WbO7KjqHHfkvPULxtBt+1rXuqp/c5Pbddz//d7OvD39ksjv1X7/q1//xzt+n6qtUKzWzKezJN79zmfvCaWd0VUtUUT3l8192t971kPtcEEDkI4cf5R56ap772v/7ug+Y4e+hipHCjygIhc2oixa/0bUNjvzY8W6TjUb0eK22wTe+dZFfn4aqh9/+3lXunK9/w223/U5+md7Pdy/5Xz8v1/3kqmiu202/LAXG9+93gPv4cZ/s8Z7OmPLvPijK1HN6hsmiS6p8KVDFKWBpqAlJWm/BS88T/V/T7AggD1kyS1P7fIXtr/qw4KCY3uSjj/NTVUjC0KDte/ddt/t5a17TB328/1HYFLnf+AP938OoOU0UBvQVrjOqJJk7Y2GvHAX2tH2+fvfrUvVOFbeJHzg48T1tvEmpCS6kwFWpuXunXXaN5pz72zNPRXPODRs6uCvgzrj/z4mvL/c9q6HKnYaliH+Pgw85tKsJcd6LpbBp9Ld96MG/+Pmxe7x3rdfq8fv3P8DPP/PXxzO9v0aLV77i/bkUxsIbbVu4ilPwCm891ErbAEC+FJbCwkJWWTJLLuEr7ThfYgfDPDdIJ9pjr/dFc85Nv/230Vxp+94VhaEvf+3crgCh5slwm0//famCoj5DY8aM8fNm5qMz/PQ9O+zip+XY937mr0+U/XsqbNn/igJ72mbIZ5/5q59+dNIxPhglSbNjbLTm90+i7Thuvwl+XtU99SXL83ZIu+2xd+I208/9p3eWmoDjZ1la169/Kby+tnBB4ustsL1zs3e11D4Wr3yF/blsfC+N92W0PKlZUqEs6dZDADpPpRPvRsslfEmayleYQrVBaHZMT81e5p4/To/mSlcwqtIlap60Ctkf//D7Hv+E99xdes3Eg3pWkfQ3Ub8qUWf7pCvo7Mt+zisvzy/7D66wleZ/JaTKnv2sddcdlGpn0u+ljuxXXfzfvsP6MR/dz3dq//evnBo9Y23fveRHXVUobYvdtt/MX52Ytpk1rPppuyT9Hto/1l+/FDKWLFnsp0br9hk33s9f95MrfdOo0e+ncKigKHvslVyxbKZKw5TEK19h86GFLht0VX0UtTxsdgw73qtqZpUvAJ2tKCehuYQvDbKaJjiFKVQbJEsJD2uC0wcO9tPbfvvLrn8w64Cv5jcte/d2O/rH6i9lVyaqCdIC1kcOO6rHP6euwqvVoZOOiebqI2wOHDKk582Wq6H+Yrtut6nvQK/+QuqwPmPGDL8dZs+eHT1rbfr//OMDz7hjjvtUV5VPVyfqKtBPH3d4r0NthFU/qabqp/3DQteQIUN7/G20zjrV6+930H5j3UXfnup/j1tuut4d8L7S31pNs5/41Cl+vkgO+/A4d/IJRyaG13jlK958qDBmnewvuOB8vywUdryPX+3ISR7QmbTv53kSmuVYkluzY9rgZB8mRTsrbzXajuMPKA1HoKrQXXfd6ZdZB/z37TvRb+PDjzzWPxbriP+nqE+YAoWqY+HfQv2mjPp16So8XTVXbmpX1FVDQSRNny/rRC4rVqzd1FSJgpeGZdA2Usf2719xrbv2xtu63rvmK9H/+TlTv+M77auflpppRRUmDbVRaWdMU/XT31ChS2a/1rPKp3VPPF66qbQoUF904bm+gnfWl0/1V7gqeF3wP1f2uHq1CPzvNXiom/773/rwqvcchrB45SvefBiGK1sWZ9Uvq5qJth8neUBn0r6vY09eshxLcqt8hWf01co7hXYybce937df9Mi5+++92y+zjvUHRFUx/bPY1XTW7+vGn//EP7YmyVD4z2V9nOxvljS1+XLy6PMVBsK5L86paWey8bB08YGGX1C10AKnvqp9P9ouCqP3PPRsV6d+hR9VwvLcucPtOXrYSz2+t5oZFbJEQ11oqInx48f796PfS+Hw/pkvdFVEiyT+f6L/U6sgKoTFK18KUTamlw2aauFq5szkZt+kgJbn3wZA6+ntM6pRmtrnK+8U2um2HrVlVxDQoKcWvFTR0hhU5qAPH+anWq8hJjSsgoSd9o3+PhbWbrjuGh+YaxGvbqWp/sSpg731vZp++2969HWqJKys7LbXvtFcT7VW4rR9zrvwsuiRc3998rGqdu40Vb9VfYb0+N5hnykNiquhJi7935v9OF9X/ejnPhxWc2Z2wXlnJ/bhq/eX/d+FVEFUCNNAtwpeVvlSk6OaD99YPSLqfN/dx8uGmqjEmiu1/bI0FQBAHnILX2kPaPZhog8xDorZaFu+N+qArSrM/175fT8fr2hpKAnz32d/JZrr2Wnf6Ht+6JBJfl5NdT+8ovQ9q5W2ulWJ3tNBBx/u59XX6arLv+fn4zRKvfp1WcBff4PuUd9VxYsHfy37zvn/FT3qSeuSRu+3/1/zz9vtEM2tLW3Vb9WKUn+8uDBYTTntJPerW272gfrJJ59a631VogpZ2HTcqKk12YYUqs86+zz33Ysv6wpeYk2O1snehplQKBPNhxWxkB6Hla9qAikA9CZLZsktfKU5oOmN2wegPiw4KGanQUSN3apmx527b58jGkrCKkf2nPh4WCENYGrVL1VJdIWfVdVEf0d9HwUd3eext1sMmTTVH6N+V/bhraZEe0/62Zqe/C+H+urJ9AfndgURVQbt99aVjldfeXlXU6peM/nD7+vxe4V0EYPu4aghJua++EK0VM2eL/jgY8bstlc0t7a0Vb9+AwZFcz2pmqnO/6L3rW2gvlO6v6NVl3QfTi0r93sZ20Y2XbFimZ/W63Gc/pYKgbqg4eRT/zVa2q1U6erv1ltH98Ds7v+lqbF1VhEzehxWvgB0pjBz5CFLZmlq5Utv3A6GeW6QTqaO1WGHdAn7gom2+f4Te94r8OiPnxDNrU3PP++CS/wl/aKgpQ90+4DXTab1wa9Ao+rYRhtt7J+XJG31J8m3L766x1WHek92w+/p00tDZ3z80Pf2CPj/c1mpf5soLGq4CP0Oeo2udFRTnQW0MBhusPE7/VRDTIx/7w5dv7vmLdioz5UCXiMdfWz5v5uoMqj3p99Pf59qxUNi3o9tv1foUpBW3zmFfDUpa509P+zzpSqXdZy3Spam9n8ZD12h+CCtADpPmDmaramVLwk/GLOU8NDtxFO7R5tXRSvpSrfDjji2K2RoGr+RdpwqX7fd/ZgPJ+GNqI3WqwqjTuzh/4KCVti8NGjQ4B4fxOE6G8+qWrrN0d0PPO07lNvvYrRMVy7qAz3c2bQ9tNwqeUa/k+6lqNsO2aCmeq/m4IMO9J3akyqEWqbXxu+bGP/dw9+v0ro4C9NDY89RlW/yIfv7eTUZx5v1dO9KvWfbNgqbRdnHtN+f9R/nuen3Pt5VvdO2s+1nAb3c1Y4hDTURX66wZk2TanZUPzEAyLPQo+OpLjhMo8/ba0TzmTz+nMbgqS2A6Y3rNaog6MMi/OBCdvon622bhuG3WvZ91eF7g+Ej3DvfMdI/rvTzKv2cNO8hZK9/6ZUFbvHi17uqT/b99EEer7yIXqf+Ue95z3Y9fnZv71XL9bsPXG89/7P02JYn6e37SbnXmqTvrzClapbClW6kXe57XHbxt31zsdxwy51up13WDs/NUmm7jV5+ra989Rl9ips27Xpfvdpg0NqHK/X12nTIq27ekg27xvSypkYLZZqfNOkIf5zRBRppTxYBtK4wc+gkNQ/v3GjdVAGsqZUvvabaDx/UrpptqufUuu3t+epzNGLDjboeV/o+lX5OpXXVsNerehTeLNskBS/Rc/Q7hM+V+OtDtlyvs58l5Z4vvX2/Sq818edov7GrHbd99w4Vv8dmm3c3Q/fvX6yR3su973jlywZVjXemlznPPupW9R/pg5nClgUvG9nebkck+nkEL6AzhZkjD1kqX4W52hFA9cIQoZtrhxcBhBTQpv7HFD+vCln8vp1FFe/zZbcWSurXZUNNqAKmccBEz1UHfNHtiKwClueBF0DryTNz6BisQebTKMzVjgBqc/Txn/VTXeSgjv+66EHNi/alqz115aONp/WDH/2iZU52kvp8xdkgq6X5lb7ypXHAjIKavc6ep98/7YkiAIRatvKlwGYfBgphHBSB6k0cP8HfHim8ClX9u+xL45yJLj743R9mFKqvV2+SrnaMNzkmhaty7GpHHWfSnCgCQFyWylduHe7/Nrd049pa6WC4xchBuXV+AzqN9iFdOPD8c8+4vz3zV7f0jcVu0OChbtfd9vRXSm62+buiZ7YOVb62Wl66KXzf0Se6n/70p34+TqHr9NPP8Fc8hh3ytVyPrQO+mi3V4Z7jDNC5VODRcDZ5ZQ59vx227h5rsBZc7Qi0EQWxdtmP4lc7JjU9htTfK2x2VKVMoYvwBSDE1Y5rXqMPC8nSF0PNK+rjcslF34qWAJ2pXYJXUp+vpCsdjSpdGmoiZM2SSZ30AXQmyxx5UGZp+asdtUHSBDi54tLv+j4uP7760lw3LIDmSOrzVS5EzZw504escgOpKrRZ1UzHh7THKgCtTft+nieoyiwtf7Vj2g2i1w8ZMjR61D5n/kAni1e+xIaSsBto2wj2GmpCU7vJdpxCm9aLjg9pT/IAtLawtS0PLVv50obIGpb0+tmvlW48PGDNQZbKF9D64pUvUWf6cDDV+O2GNJ5XOWHlC0DnyrNAU4jKl64gSCPrwVCv32xQ6Yx3xfLlVL6ANhCvfPVbOd9XvMKwZSPYS7g8FFbIRMcHmh0B5KEQla80oUdv3F6nEJXmoKjX9xtQqnwJZ7ZA64tXvqziFbIR7DXOmcKVNUeGHfOtQsY4XwDyVojKVxph+6tCVJqDYjxspQmBAIql3Aj3ClYWsOyWQ1OnTvXrFMb0ON4x3+4LKRwfgGJR0cXuymH3q60X/aw8CzSFqHylFVa+0tDrlywpjddBny+gPSRd7Viadg8foamFMRvLK0m5qyQBNN8jDz3QdVeOh2b8JVpaHyrw5HkC1rKVrzCFaoOkaXbU6+1qxyWLX+fMFmgD8cqXNRvGKXA98MCMHmEspGCmPl8Aim/litJ+X09UvtYIU6g2SJpmR73ernYcMnR9Kl9AG1Dlq8/Wn/FfombDeLDSYwUuG2pC4lUurQ+vitTxIc1JHoD66z9gQF0/w7Xv5135Siu38JV2g9nr0m4QvX7UsNKZLVc7Au3BKl8mqVlRQctCV9gEGR8PTON/2fN0fMhywARQP6p81fMzXPt+nuEuy4lcbuFrxYpl0Vz18kihev3KlaWzWvp8Ae3B+nwZ61y/dvWrtO8rXFnTo6pkusdj0nhgHB+A4qp35UvyDHeFqHzFD5bVyCOF6vU21ASVL6A9dYesns2KCl0aasLWSziv9eF4YDo+0OwIFFO9K195K0TlKy3b0ApRaX4Rvd6udhTObIH2o/BUbhyvCy44P3q0NhtmQlPR8YFmR6CYrPI185EZ7tz/PMsd9qFxbtyBk91F357qnnpC93At1olTISpfaWhDWlhSiErzi+j13NsRaG+qXm065FUftqyvl41cr2ClYJZEzZVhfzGOD0CxfffC893kQ/ZzV//gIvfEY4+4+U/d6i668Fx36EH7uFtuuj56Vjph5shDy1a+FLbCylcaej33dgTam6pXGuXeql8KVNaX6+mnn068GtKGmLC+YACK7cJvnOMHW5WJHzjYnT7lHHfMcZ/yj+WsL5+6Zt9PP3RMmDnyUIjKV9rQY6/TBkmTIvV6rnYE2pvCU9iEqEqW9eXSUBNWEQvZjbYtsAEotpdfnu823nik+8N9T7qrfvRz94XTznDf+NZF7qyzz4ue4brCWVp5FmgKUfnKerWjNkiaFKnXc7Uj0N4UnqyCZVO7t6OUC1dhYBMdH7IcMAHUj4LXb++c4TbddHP/2W5fqn4NHz7cPyfLLYjCzJGHQlS+sl7tmHaD6PV2teOCBa+4//7Pf+u6T5S+1GnP5s8+64tu282HumuvudI/3/zl3rsrLtf3ANA8Sc2GYaVL6+PNjmJBLezzleWACaB+Tvvq2Wv21VLFOjRs6GC37bt38PNZwleYOfJQiMpXWllTaPj6ZUuXdt0jyr7Uac/mdQXFeoMGubvvur3HH+A3t0zz0/hy+yN/dNLRfgqgOVTZsg72IVW0NNSEllvASmLhLc8DL4D8Je2j+pzfaOOR0aNs+3HWzBEqROUrDaXGPA6GXzzj392ee4/r9eugDx/m9t5nXzdv7hy3aPEb0aude/ml+W77HXdxzz/3TI/ld9z2a7fd9ju5rUZvGy0B0AwKT+FgqUaBS0NN2PL4fRzjoU0HXpodgeIqF47Wj/pwSp4BKotCVL4UouK3BOmNUqNtRL0+7S8ydve93fU33dr1dc3Pf5M4f9Jnv+QmfuAQP16IVbXmvviCu+fu6W7q+Re7xWsO0rZc7+WxRx/0gY1mCqC5FJ7C2wSJmhkVutTx3pocrZO9iYc2HWfYn4HWoyKJyaNok4fCVL7S9PuyjagQluUX0evtK3wczutn7f2+/Vz//gPcE48/6tctePUVt+Wo0V3VLVv+9FNPuIULF7p9xu3vHwNoLgWrsPKl/lwKY3OefdTP2zoFMS0vd29HAK1Fn90bb9Ld7Jh2P86rtc0UovIltVa+9MZtIzYiyepn6SqKDTYY7qb//jf+Z077+TXuHe/c1HfoO/ijR7rbb73FL9fgbgppW241Ono1gGayMBU2I6rPl4aasMcSvxoyHtoAtBZ9dlvlK8uoBmFrWx5atvKlN24bURskS4qsln5eKWT9yv39/+a7+f/4uztkzWP9/B13HuNmz3rO9/u66w+3+v5hSVdeAGg8hSmFqDBMWSf7pHAVVsPCcAag9VjlK+t4nmmDW5JCVL7Sbgx7nTZIlhRZLf28Dx58mJ+/954713zd5bbautTkuMuue7j/+/tc99QTj7nHHnnIHXbEx3L9QwFIT2EqLgxXSVdDGvULE+3PjTjJA5CvPPp8ha1teShE5SvNxtCGsNfluUF6s+uuO7tNN9vCnfe963r09xq99VZu7732cp+f8g332msL3d777NfQ9wUgmQ2SGqewpaEmFMLiV0Na3y9NNdCqaH9uxEkegHyp8qWuQJL2czlsbctDISpfq99+u+Y+X9oQzQg3ah59//4H+Bt2vmPkRr6/l+i9vGvr7f3ycePe5975ju4OfgCap9wYXgpbGmpC7KpHq35Zs2PY/JjngRdA46jytXJlKWNk2Y/zzByWHdLo8/Ya0XwmL760LNUvpY24xchB7pkXF0dLGiP848Xft61rRjAEULLNZqXA1adPH/fTn/7Uz5ej0KWAFq98aZmqZppOmnSEP87obJXqF1AM2h8feegBP7/LrruX3TfnzXvRzZ0ze82+PMyPv5mF7lyTV+aw41StCnW1Y5YSXq30c+0rrtxyAM0R9unSVY9W4dKymTNndgUvWx6GsXjli+AFFIf2Rw2Cvvfee/r5cjlCIxXoeVmDV1EU6mpHDooAyrEBVHXVowUr9fPSUBMWrixoab2aIQf3XdA1RIVwUgUUk+WHNOOFVksFnrDVq5kKdbUjAJSjKpeElazu0NXzKkct32DQ225V/5F+as8D0LlU4CnKCVihrnZsZLMjgNahKlZ4NaM1OVro0nI1NYbscVj5AtDZ2q7ylfVqR20Qmh0BJNFQEeFwEwpbFsY01ITClSpiIauQ2Uj3ouMMJ3lAZ9K+33aVr759+qRqqw0rXwCQRCFKYUohyzrV28CpGmpC68sJQ5mOM5zkAZ1J+37bVb4ky9WOAFCOwlbY50tVMFXDFMQqBS9jVbOiHHgBNEfbVb4ky9WOAFCOAlbY50tXM9r4XRpqojd6nujAS7MjgGZrauVLLIXSFwNAOap8vfTSK2tVwBTGNNSELdc0HAfMOt1baNNxhmZHAM3W1MqXwpZVvuiLAaCcsPJl432FVzHaemuOtGBm/b3seXRzADpXmDmaLdfwVSuFrbDyBQBJFJ7Uwd6qWQpW4VWMtt6aI+Oscz6AzhVmjmbLLXwNXjddeAorXzQ7AkhiFS1NVc1S2LKqloaaEIUxq3ZZSLOpXgsAbVf5euPNt2ru86WwFVa+aHYEkEQVrbAZ0apbWmZDTdg60fqwU749X8cZTvKAzhRmjmZrap8vha2w8gUASRSuQvGgFaf1Fsg0Da925CQP6Exh5mi2pvb5EkIXgN6o+TC8nVDo6aef9svtysYkFt6KcuAF0BxtWfmqVZGuPABQXApP4ThfRqFLQ01YlSsuHtp04KXZEUBW6maVJb/0eXuNaD6TBa+vcH9/+fU1B7naS/rbbj7UzZm/1C1a/Eaq1wNonAWvvuJGbLhR9Kg2Hz/jKrd8xeroUT4evfE0t/PhF0aP8rHV5hu6b3z5sOgRgHaizPHMi4ujR+kpfG2+yXrRo9rkFr5efGlZqnKe3vwWIwflsiEA1N/+e2/vfnfnjJpPlLSvH3LKZe6RaV90ffr0cUuWrXSD1+3n3nhzlZ+KluuQZNO4pPVJ87W8PqTlel/7HPs9d/13Px0tBdAOVPUeNnRwrpljm81K/Ulr1fRmRwtsND8CxXfJRd9y8+bOcT+84vvRkuqFJ2cKPkPWKzUFxoOXWEAKlVs/duxYP037emPr7f0AaC86Ycyzz1eW3JJb+Eozzld45QF9MYDi++EP/sdPv/8/38i8v4YBKAxGptr1Dz74YKbXS9J6AO0nr0JPmtsphnILX2nG+ZKw8kV/L6C4VPVauHChn1+2dKmvfmU9kFkAKhd8mr0eQPsIW9uyqnVorbhcmx2z3tsRQHFZ1cuo+qWLZLKw4KNpkmrW33HHHZleX2k9gPYRtrblIUtuaWqfr7zbXwHUR1j1Mqp+XXvNldGj2lnwkaQAVO36CRMmZHq9JK0H0H7yzBxZglxT+3xJnikUQH3Eq17mwvP/M1XfrzD4mDAANXs9AFTS0n2+wvZXhbCsHXgB5O+pJ2a6Iz92vDvtK2e7kz77Jb9M8/o6+XNnuHkvzvHLqpUUfIwFoGavB4BK1M1qxPpr33GjWrmN86Wxev7+Su3hSaGLcb6A4tI+qpMkq1Jn2V+P+MIVXeN8JR16bHkt63fbbTd/xaOkeX3Ilu8y6TuM8wW0GRV48hrnS8WmrTcbET2qXY7Njv1SleHCyheA4rF9VNO89lcLQKEwENWyPh68pJbXm3A9gPaTZz/ztrrakWZHoNjC/TWrMAAlBZ9mrwfQfvIq9GTNK7mGr1rfTJhCtUEY5wsotrzOGo0FoHLBp9nrAbQPZZS8jmFZ80qu4SvNm8nzTBpAa7Hgo2mSataH07hqXl9pPYD2oYySV+Urq6ZWvvJMoQAaJ48DmAUfSQpAzV4PoP3klTkK1exYa+WrSCkUQO/CSnWWg08YfEwYgJq9HgAqKVSzY5qDsaVQHdSzJkkA9RNWqrW/pj34JAUfYwGolvVjx46N5tK9PmTrAaCemlr50sE8PJPOmiQB1E9Yqc5Suq8UcCwY1bLehpqQNK8P2XoA7SfMHFllLRY1tfKlg3l4Jg2g2LKErlBSAAqDT7PXA2g/YebIKmuxqKmVLwnPpLMmSQCtIwxAScGn2vXTp0/P9HpJWg+g/VD5WkPPDytfWZMkgMbQ/prHyZIFoHLBp5r1EyZMyPR6ghfQGcLMkVVLV770/LDyBaC4dOAK99c8TpYs+GiapJr14TSumtdXWg+gfYSZo9maWvkSQhfQGnTgCivVWVnwkaQA1Oz1ANpPXpkja+W/qZWv8EwaQPGFla8sB58w+JgwANWy3oaaSPt6E64HgEqyVv6bWvmKn0lnTZIA6kf7Z7i/pj34JAUfYwGolvXhUBNpXh+y9QBQT02tfEl4Jp01SQKoH+2f4f6aVqWAY8Go2esBtJ88W9uyFouaWvmKn0kDKLYsoSuUFIDC4FPLeg01IWlfb8L1ANpP2NqWVdZiUVMrX/Ez6axJEkDrCANQUvCpdr2GmsjyeklaD6D9UPmKhJWvrEkSQGNof83jZMkCULngU836cBpXzesJXkBnCFvbsmrpypc2RFj5AlBc8f01j5MlCz6aJqlmfTiNq+b1ldYDaB9ha1uzNbXypQ1B6AJaQ7i/5nEAs+AjSQGo2vUaaiLL6yVpPYD2k1fmyFr5b2rlS4qSQgH0Lqx8ZTn4hMHHhAGolvU21ETa15twPQBUkrXy39TKl54fnklnTZIA6ie+v6Y9+CQFH2MBqNnrAaCemlr50vPDM+msSRJA/cT317QqBRwLRrWst6EmJM3rQ7YeQPvRCaQdw7LKWixqauVLwjNpAMWWJXSFkgJQGHxqWa+hJiTt6024HkD70QlkXsewrMWipla+whSqDZI1SQJoHWEASgo+zV4PoP1Q+VojTKHaIFmTJIDG0P6ax8mSBaBywaea9eE0rprXE7yAzqBjFpWvSFj5AlBcOnCF+2seJ0sWfDRNUs16DTWR5fWV1gNoHzpm5VX5yqqpla88UyiA+tKBK6xUZ2XBR5ICULXrNdREltdL0noA7SevzJG18t/UyleRUiiA3oWVrywHnzD4mDAANXs9OsPMR2a4v9x7t3vqiZnRkm6V1gFZK/9NrXxJeCadNUkCqJ+wUq39Ne3BJyn4GAtAtawPh5pI8/qQrUdnOO6oD7njjvyQm3rOlGhJt0rrgKyaWvnSwTw8k86aJAHUT1ipzlK6rxRwLBjVst6GmpA0rw/ZerQ//S+PGLGRn1+yZLGfmkrr0LrCzJFV1mJRUytfOpiHZ9IAii1L6AolBaAw+DR7Pdqf/pdXLF/u54cMGdrjM6jSOrSuMHNklbVY1NTKl9g/tTZI1iQJdDr1T9l286H+64Lzzo6WFlMYgJKCT7PXo72FgWr2a4N6fChXWofWlleQbunKl55v/9TaIFmTJNDpXn99UTTn3IABA6O5/Gl/zeNkyQJQueBTzfpwGlfN6wlenSkMVNu/Y2WPD+VK69C6wsyRVUtXvvR8+6fmzALI14oVpWaTvOjAFe6veZwsWfDRNEmz16N96X95wMDSCcr8lxf0+AwKw9aiRYv8ujxONtBcYeZotqZWvoTQBdSHKl95Hmh04LL9NY/va8FHkgJQs9cjGzWBq+lbXwtefSVa2pM+M+w5lYZ0+PUvb/DP+eEVF0dL1qZhIS656Fvu5BOO9F+a17Jy9L9cqc+X6TdgkF9Xy8mGfi/9/LPP+qI77EPj3KmfPsY/njfvxegZ5dnvqist9dpKr7v2mit7bDtN9buPO3CyO/OLnyz7ulq3VVya18ffq7aRfldtI/2uvf0P5CWvzJE1jPdZc9ApHX1y8Le5S6K56ujNDxs62G0xcpB75kWuKAGy0gFQBzI56bNfcqdPOcfP50UfQra/av+ttfp1xBeucI9M+2KP4BOy5bWs11AT48eP9/NpXh+y5btM+o67/rufjpYijfB/8bSvnO1O+fyX/XwofM74Az7oLr3q534+pP+5sTuMci+/PN/tufc4d83PfxOtKVHAmHLaSWU//PWa717yIzdiw9LViyb8viO3+4C7+7YbojWldXuPfbebN3fOWut6o/dx4icnu2VLl0ZLerr5d/e47bbfKXrU7flnn3Gnfe74sgHkmOM+5c6Z+p3oUc/3r339fftOdCcc+1G3cuWK6BnOP1+vM2m3lcljW+u9Hn3cp93nPvMx98Rjj0TP6Bb/PetBfWLzyBzbbDYkmqtdoa52zJokAXTLu8+X9s9wf601eJlywUcqBSNJWh8ONZHm9SFbj+x22XX3aM65P9/dPRZbaPrvfxvNOXf3nXf4/6u4+++/339oy1HHHu+nRmHgQ+N382Ggf/8B/oP9+1dc66Z+6/tdoUPrDjlgr7U+X8IKyLYbLe3xs7XOqmKjh72U+L6S6P0oTCp4KWDpvVx7420+TLx/vwP8c8J+mWbuiy+4g/Yf2xW89FwFVv0+W265pV+mylEYzML3/9ya4GbBS8/X69cbNMitP2xY13vPsq0kr22t93rkIfv74KX3qNd++COT/fcU/Z6XXfxtP9/OCnW1Y9qDOYC15d3nS/tnuL+mVSngWDBq9npkp1YNfaiKPpSTmh7v+/Nd0ZzzweGuu+6MHnW75+4/RHPOjdltr2iu5EdXXuKDjj64b7jlD+5r/+/r7uBDDnWTjzrOfeNbF/lgIApvV13+PT9v9L9sfb6Wrvke4f90GLZW9RlS1f+7XvOrm66PHjl39U9udhM/cLAbu/ve7vhPneiuuOZGN/3Pj/cIpebrZ58RzTl34cVXux//7GZfKdTv88e/POmX6Xdcf4Ph0bN6vsfbb/2V334KRHq+Xv/0rFf89td713OzbCvJuq2N3qtVwPQe9dpLfvAjd+tdD3UFsO//zzf8NG8KheF7ySIpoNaiUFc7AshP3n2+JEvoCiUFoDD4NHt9NdRMhPL0vzLxAx+OHjl37z09g5UqQPEmtj/ddXs01+22397sp9vvuIvbelSpCiR67dU/uMjP/9s53/SVJv1M+x/VVMHAmvh+8fP/7bE/aL1Vt6xfl7HvYarZj/QaC5gKEe98x0g/L/b9Ntv8XWsVGRRMrQKoKtCkyUd1PV9TfSlEPTf3Nbfpppv75WLPMXqtApG9Jlz/8MMPZ9pWeWzrkKp66hJh30Nf2jb7jj/Qr1fIU6Utb9r28feSVtZiUaGudsyaJAF0U+UrrwNNPYQBKCn4VLt+7NixmV4vSevLUbPIPruOdr+44SfREpSjyo+5/dZfR3Mld9/5ez/deOORXRWyX93cs2+VPhOe+euTfv7ADx7a4//5kYceiOace3/0oZ1kr/fu66ezZ8/u8fowHGgU+/g6q4rF15Wj11hfJ1Whrr7ycj/fm/D3mHTkcWV/Vny5vX8FPTXfnXX2eWVfm3Vb5bGtbXsqoCX1/5Nx+06M5px79eWXorl8hX/3LFq68iX2B9IGyZokAXTrlHG+ZsyYken11QYvC126OkvNJoMGD43WoBwd09UJW/58d88+XRbGJh50sNvn/aULJtTBPax4WHOafOTwo/zU/H3enGjOuV/e+DN/tVz4ddG3p/rpk493d+oOv3cYDvIY4V6vOeLoT7jhw0tNg/o/+fRxh/sbdFcS/h7/vN320Vzv7P1r++y081jfzFvO7FnPRXPptlXW14fbc/31u/uhVbJsWfIFC1nomBX+3bNo6cqXNoT9EfLaIABKGOcr+3qJhy6z9A2u0K7Ghw6Z5KcLFy509913n5/X/9H995aumFO145CPHuHn5Y/Tb4vmnLv/vj/5qapjYZObqOO2ufCb5/hO2uHXRRee66dq1jPrrbteNNezGpM0wn25dZWo8nXtjbd3dZL/452/d5MP2c/tv/f2/r3E6edY87UqWLXsU7W8xxfnzIrmqt9WRj8nzevj2zqU9F71nP4DSn2+6kXbN/5emiXXoSYef+6VVAfkvC77BDqdDn526f7nTzvTnTHl36v+4KiW9tc583t2UK6WDTUhFnxM2sc21ERe30801MSFXz7ATfrwOB8aUD11pA6HOFEFZP+93uPntU79kp6bNbtr2WPPvuw/N4756H6+iqmmSl1FJ3vutIXf/va68H9OVSWFG9H/er814UWBWBXJVStX9His6bvfs2OP/lSiUK1Arf+fH177q8R148aNcz+54daa/98VRqZdd7VvgjPqt3bdL37f43NS+6v2W4Uv9euq5edUev+hWrfVzmN279FknOe2ThouxNzws2vcWV8+1c/rOVY1zVsemUMnoztsnTwkRzWaOs6XKIUyzheQjzB8xT8E8xDurzr41HqyVY9xvpLma3l9yJYrfN1yyUk+JFx+8QW++hUXBgJtF6bd05CWfXDie/3QAurvc+v0+9x3LzzfN1OpQnTb3Y/552mgTlVVRIFMFaFDD9rHP45/EOt7nv1vX+3qBG6fH/Gf39v7srGn1G/w2pu6LwjQOhvny9bV+v+u7yEaKuPc/zjdB0tRx/hwHKspXzrZ3Xh9qf+gBdFqVHr/IT0v67Y69z/Pym1bt0v4kpYd50vPtz+S/ji1vh5AeZ0yzlcor/Wi31VNXfqg/MN9T3Z1Cjfh9rXtsmLFMj/t1Mc2DWnZ+6I+Xbpq7qVXFriHZ5SaHz/w4cP9VPYLOnI/PvNhd2fU/KiK0L777ufnjb5nOJCnxsmS+M/v7X2ZpKsd41dC1vr/ru+hr512KQUjNZ1K2HldNt6k+6rIp596IprrXaX3H9Lzsm6rPLc1Sgp1tWPagzmAtTHO19qqXR+nEKaxiBTCbEDJpKtJV7uefVY67XE5h00+Nppz7tc33+AHVJWd93i/n8qYMWO6Asovf/GzroFZ1R8s6f/t/ft1Xxn3g0sujOaqp//lvPt8VaILC+TZZ/7qp0Yj05tpP78mmlubQk9YoKjlPWbdVnls6yLQ9svrvWQtFhXqakcA+emUcb7U5CJpX2/C9Un0u4eVsPBDE5VtNXrbrmD1vQvP9VfoqaI1cXz33Qm0fS2g3P67X7mHHvyLnw/7HoXUhGmjxqtZWE1W5ag5PuwMLvp55Uax1zr1XZL46PeV6KKM+M8RjWmm30l23W3PHt9PTWvhKPa632FIn6tqkh3/3h16VM0qvf+4+Lb61c3dg8HG6f3PeODe6FFJra9P2tZFoBPIvN5L1mJRoa52zJokAXTrlHG+HnzwwUyvl6T1lSiE1as/Srs6/MhS9Uv9fmSnnXb005CN86Tn2BAT44KqS0ifHeec910f4kR9hdRHLBwC4bTPHu87eqsfZHwA1zCsxEex1zp1Hhcb/b63zye95obrrvE/S1/h+/jgfmO7fu+jP37CWvvlf32zNDq86D3r91A/K92Qe/zeO3T1hVtvvUF+KpXef5Jvfqd73LEvfe6Eitvqzjt+Fz2zm15v27q311fa1s2W13vJmleaWvkKU6g2SNYkCaDb3BfndJ2Fxr/CM2jttzv/80jfCdW+KlURRPtrHidLFoDKBZ9mr0d+4pXC909Yu6IVD1q62Xa58av02aEQrNvSqDIj6lMWDoGgKpJCj8beOuCgj/jnmHhYCT+Uta7WPl96zcc/eZKf1z4Wvg+9BwUXXQCjqwDjrBO6jRFmI8rbrXj0WlVc1X/MVHr/SdRvS7c3qmZb7TfhIP+ckF5fzbZWhTP++vh7bRYds/J6L1nzClc7Am1EB32deVZDB/vNttjSHThulzUfehPcD388zS//8TU/9FUE3atNtwwxOnDpgzDL/hoONSEWfMoFoGrW33HHHf7m2mlfn7ReVzte/91PR4+QBx3rdZXjijX/Rxqa4IQTP7fWB5ie86tbbnZ/e+avvtnvqGNP8Led6Y1ed889f3IP3n+vW7J4kT+5sHsoKvQlVSn1mmk3/MzNeWG22+JdW/a4oKLSut6ob9avfznN32pIg46+d1zpYoNj/+UzfoDRStQ8qfHP9PvPuP/Pa4LOju5do0b7fm9J2yrNe+xtW+nihkoBJe9tHdIx5vI1QU5V+8+c+qVet1caei95ZY4sVzs2dZwvbWg9P6/LPoFOF46p1Jtrb7zN3fbbW/zNjW/+3T3RUpXDV7gTjjvan8X+/OY71tqntb8WaZyv+NRkeUz4qg998DWyClLNz6v0nEa/37is779oqn2v9f6d8sgcyi9ZxvkqzNWOALLTjYfve2SWD1bhl6pc4by+xu6+t/vVTT/v6ghtBgxYz229zbv9VVmvvPJytLTE9lcdGHXwSSsefESPtVyavR710eiQUM3Pq/ScRr/fuKzvv2iqfa+t8DvVmnfiCjPCvc6kFy1+I/MvBKBEFSwNBRCfGlXJ1ORoHZvj1M/koafmrbVPZq18PXrjaWsFn1BSMArF1/f2OK6a9TsffiGVL6BN5dXaVphBVmsNTjpzDs+kCV5Afixoxaehfv37+UvIFaZ0MAqnutVJuX0yy5mpgo8CThILRrWst6EmJM3rQ7YeQPsJM0dWWSr/UqirHQE0zkYbbeyGDB7aNVCj2P6oaZaA1ZukABQGn1rWa6gJSft6E64H0H7CzJFV1mJRUytfklcfEgC10ZWLO++6u7tr+m3+Hoa9yfOsUcIAlBR8mr0eQPuh8rWGnm8pVBska5IEUD3te18755t+/nOf+ViP/VejWH/6uO777km8Up314CMWgMoFn2avB9A+wsyRVUtXvvT8sPIFoLE0SKX6dr30j/9zO47e2HdE1dcdt/3aXXHNjdGzuoX7ax4nSxZ8NE1SzfpwGlfN6yutB9A+wszRbE2tfAmhC2gu7YMzHp/Vo7P9j392c7S2J9tf8ziAWfCRpADU7PUA2k9emSNr5b+plS+9+aKkUKCT6YBkB6Vwvhytz3LwCYOPCQNQs9cDQCVZK/9NrXzpzdtBXiEsa5IE0BjaX9MefJKCj7EAVMv6cKiJNK8P2XoAqKemVr7EKl8KYVmTJID6CSvVvVXGKqkUcCwY1bLehpqQNK8P2XoA7SfP1rasxaKmVr70/LDyBaC4wkp1VkkBKAw+zV4PoP3keQzLWixqauVLzw/PpLMmSQD1ledJUhiAkoJPteunT5+e6fWStB5A+6HyFQkrX1mTJID6iVeq8zhZsgBULvhUs37ChAmZXk/wAjpDeAzLqqUrX9oQYeULQHHFK9V5nCxZ8NE0STXrw2lcNa+vtB5A+wiPYc3W1MqXNgShC2gdYeUrKws+khSAmr0eQPvJK3Nkrfw3tfIlRUmhACqLV6qzHHzC4GPCAFTLehtqIu3rTbgeACrJWvlvauVLzw/PpLMmSQD1E1aqtb+mPfgkBR9jAaiW9eFQE2leH7L1AFBPTa186fnhmXTWJAmgvsL9Na1KAceCUbPXA2g/YfU+q6zFoqZWviQ8kwZQXGGlOqukABQGn1rWa6gJSft6E64H0H7C6n1WWYtFTa18hSlUGyRrkgRQP2GlOg9hAEoKPtWu11ATWV4vSesBtB8qX2uEKVQbJGuSBFBf4f6ax8mSBaBywaea9eE0rprXE7yAzqBjFpWvSFj5AtAatL/mcbJkwUfTJNWsD6dx1by+0noA7UPHrDyr91k0tfKVZwoF0Dh5HMAs+EhSAKp2vYaayPJ6SVoPoP3klTmyVv6bWvkqUgoFUJkONmGlOsvBJww+JgxAtay3oSbSvt6E6wGgkqyV/6ZWvsRSqA7qWZMkgPrRwSbcX9MefJKCj7EA1Oz1AFBPTa18xc+ksyZJAPUV7q9pVQo4FoxqWW9DTUia14dsPYD2E2aOrLIWi5pa+YqfSQMoLu3fWUJXKCkAhcGnlvUaakLSvt6E6wG0nzBzZJW1WNTUypeEZ9JZkySA+tH+nedJUhiAkoJPM9f/46nfRXMA2gmVrzXCM2ltkKxJEkB9hftrHidLFoDiwchUsz6cxlXz+qT185+6NZoD0C7CzJFVS1e+wjPpvDYIgPrT/prHyZIFH02TVLNeQ01keX2l9QDaR5g5mq2plS8hdAGtJ48DmAUfSQpA1a7XUBNZXi/x9TsffmE0B6Cd5JU5slb+m1r50psvSgoFUFm4v+oAluXgEwYfEwagZq8HgEqyVv6bWvnSm7cUqoN61iQJoH7i+2vag09S8DEWgGpZHw41keb1IVsPAPXUlMrX3BdfcH+59+6uL7nrrjvdIw894B9rPYDiCStfaVUKOBaMallvQ01ImteHbP2jN54WLQHQLvJsbctaLGpK5WvBq6+44478UNeXhI8Xv77ILwPQfL/+5Q1u282H+q8tRg7yy+yxvrS+VkkByIKPNHu9UI0H2ktYvc8qbeXfNKXytccee7jx48dHj3p6/34HuO223yl6BKDZJk0+ym255ZbRo560/MMfmRw9qk0YgOLBR5q9XgfprAdYAMXS0ZUvHdS+8JX/ih71dPqU/8ht4wDITvvrV/7t3OhRT1qeZX+1ABQPPqaa9eE0rprXl1vPcQhoL8ooHV35kjFjxqxV/bKqV14bB0A+Dj7k0LUq0no88QMHZ9pfLfhomqRZ6zXUhH4vmh2B9qGMUpSTqqZUvkQHtnj166yzz4vmABSJ9tcTT+3ZCf3zp52Z6UBmwUeSAlCz10vas1v1gzvsQ+PcuAMnu2M+ul+PeX1dcN7Z7qknZkbPBtAoeRV3CtXsWOuBKqx+qeq11ehtOdMECkp9v6z6pb5eWapeYfAxYQCqZb0NNZH29SZcn9X99/3JPfHYI/42RTNmzOgxr6/LLv62O/Sgfdypnz6GYx7QgrI2O/ZZc8DpeQTK4PHnXqn5DensTweha37+G7fn3uP8sj132sItXLjQz8sf7nvSbbrp5n5+538e6ZYtXernhXWsY12+6ypRRee0zx7vvn/Ftb4pstbwdcQXrvDDOFQ67CQFo1B8fW+P46pZL8+8uNhP01Couv3WX/n5G265061cucI99uhDbvXy19wL8152115zpV8n4w/4oLv0qp9HjwDUm67SzrJ/m202GxLN1S7X8PW3uUuiueqp2eLH1/zQTT7quGhJaZkO6jYNsY51rOtWj3WV6Plf/Nxn3HnfvjRaUhuFr7wpzOV9OyB9zywH57PP+mJXwHr2xVfdgAHr9djer7++yB3wvh27TjLDk08A9aEq87Chg/2QOVnDl77XDltvFD2qXdMrXwA6Szz4ZZ3qLHbO/KVVPbfaqX3PRYvfSHVMCytf5b6P+n2p+VFO+8rZ7pTPf9nPA6ivIlS+mtrnC0Bn0dmiwo0okMiKFcv8VMttfV+3oqqpwtLYsWN7fI9qXxufit6TvqdoWdpj2sabjIzmyn+f9+07MZpz7rFHZ0RzAOrJ9u+ssvbVbNrVjgA6TxhCbH61G+CnEl/W21TB5tqb7ux6LL29ptxU9PP1PbOeFb/80vxorvzB/pWXu5+z85jdc/tQAJAsPPnLKumEqhZUvgAgZ/HKV5yC1nU/vip65Nwuu+6e24cCgGTKKEU5yaHyBaCl2c35i6RS5WvevBfdCZ84sut9a8iOfffdz88DqK+8TnIK1exI5QtAo9nN+fOkDrlZhJWvcIBVfd/993pPV2d8jW+oYTuoegGtpVDNjlS+ADSDqktFOv6ElS8NqmoDrIY0vMSPf3Zz9AhAJ6HyBaAlKWxZk54qR3kcf8LvmUVY+br2xtt80JoyZYqvdJkvffZ49+xzz0ePANRbXvu3ZD3Zo/IFoCUpbCl0bb/jLrkdUO17SpZqWlj52mef97m9997TnfDZr/lK1+lTzvHLX355vjvz9FP8PID6C/fvrLKe7FH5AtDSfnv7n3PvM6WhJrJU0+JXO9pwFpr/wmln+E72ok73umUTgMag8gUAOcg7eOWh0tWOer+fP+3M6JHzQ07k9YEAoDxllLyOF1S+AHS0Ig410ds4X2PGjPHNpaL3//DDD/t5APWjjFKUEx0qXwBaWhGHmggrX0kUyI79lxOjR87dNO26aA5APeVV+SpUsyOVLwCtTAfUPM6Mw8pXOZOPOs7171/qC/bjH17GySvQQgrV7MjBA0AzKDDlcfzRAdXOjLN8z0p9vkIf/+RJfrpy5Qr3+9/d4ucBtD8qXwBaloKN+k4pMOV1/LGwlOV79tbnS/RzPjrp6OiRc1de9j/RHIB6yKuyLVlP9vq8vUY0n9njz71CAAPQUDqY5tmPI49j2FNPzHS/uWWae9eo0e7jx32y4vu74WfX+EqZAltvzwWQnfp0ajiZrLbZbEg0V7tcw9ff5i6J5gCgs1UbCvMMjwAq0/62xchBmcOXTtR22Hqj6FHt6PMFoKUVcagJqTZQEbyAxlBGyWt/y1ohp88XgJZWxKEmABSPMkpefb6yovIFAAA6Ql6Vr6x5h8oXgMJ6/tlnornG0AG12jPjRr83AMVRqGZHKl8A8vSt8852B+0/tuLNp8eOHZtbU4IOqHZmrO+ZdEy79por3e47bO5u/e0voyUAUBsqXwAKS8MvqMJ02mePLxvCrr3pztw7retKKH3P8Jim0LXPrqPd2Wd90S1a9Jpb+kb2S9UBNE4tle3eFKrZkcoXgDyFI8VbCDv0oH0qVsLyFoaul1/ufj8DBgyM5gC0grCynVXWYhPjfAEd7ILzznaXXfzt6FFr2W77ndz3r7zOzZ0z2+2597hoaX7mzXvRHXnI/j0CVys5Z+p33DHHfSp6BEBU+SrCOF+McA90OB2MdDZYxOkpn/lEYpXrpM9+yX3m1C+59dcfltto1SF9zznzl7rnZs12F13w3+7G638Sren2+dPOdGdM+Xc/X+3v04wpgBIFJmWUIoxwT58voMPZB/SKFcv8tCiPNV1/2DA/L/37D/CVnAefmOtOn3KOD14KGHkK+4To52+66ebuO9/7gfvDfU+uVUVasWK5f074fiXv7VDr40WL3/BTewygRBkl72NGWvT5AuCtdgOiuZJmPxb1+VLoUqXr3keed9/41kU+dBkLGDqg5nH80cE5/J6ixwphasZTCPvwRyb75erzlXQgz3s71PqYk2CgvLxOSrIeb+jzBaCwdOsg9e0KA1dI4eeDE9/rfvGb/G4xpO9ZqU+I1qs5sl59zQDUV9vdWJs+XwAaTWEoz7NZjmFAe6PPFwBklFfwEo5hQPsK+3RmlbXZkT5fAFqamiYBoDc6ucrrZC3riRqVLwAt7bgjPxTN5UfNEgDaD5UvAACABlFGofIFAAWjg3NeZ8YAikUZpSj7N5UvAC1t7NixuR1QdXC2M2N9T45pQHvJ88roLBjnCwAAtK3bb/2V+98rv++WLFnsT6pmzJjhx+jT4yFDhrqjP35C1+DJtWCcLwAAgASqUu2x07vcsqVLoyXdhg8f7v4yc070qDaM8wUAAJBg2NDBbsq/TY0e9XTCSV+M5mpTqGZHKl8AAKBokqpfWapeQuULAACgjKTqV9qql1D5AgAA6EVY/dp445HunoeejdakQ+ULAACggrD69YlPneqnTaPKV70tWbaSKVOmTHOdSjhfD+V+FvMlzJcwX9IK85put/1Ofr6Zcm12/I/j+0RzAAAA7es/rk4fn3JtdgQAAEBlhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0UJ+314jmAQAAUGdUvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACggQhfAAAADUT4AgAAaCDCFwAAQAMRvgAAABqI8AUAANBAhC8AAIAGInwBAAA0EOELAACgYZz7/+3QmSqqjcRXAAAAAElFTkSuQmCC\" alt=\"Schematic of the Bouwer-Rice slug test\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h)\r\n%  t = measurement time\r\n%  H = displacement\r\n%  rc = casing radius\r\n%  R = screen radius\r\n%  Le = screen length\r\n%  Lw = distance from undisturbed water table to bottom of well\r\n%  h = initial saturated thickness\r\n  Re = ln(Re/R) = [1.1/ln(Lw/R) + [A+B*ln((h-Lw)/R)]/(Le/R)]^{-1}\r\n  K = rc^2*log(Re/R)*log(H(1)/H)/(2*Le*t);\r\nend","test_suite":"%%\r\nt = 0:2:16;             %  Measurement times (sec)                                                 \r\nrc = 0.05;              %  Casing radius (m)\r\nR = 0.1;                %  Screen radius (m)\r\nLe = 3;                 %  Screen length (m)\r\nLw = 5;                 %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 15;                 %  Undisturbed saturated thickness (m)\r\nH = [1.5 0.645 0.372 0.195 0.13 0.067 0.044 0.023 0.015];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 2.82e-4;\r\nRe_correct = 1.11;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:2:16;             %  Measurement times (sec)\r\nrc = 0.03;              %  Casing radius (m)\r\nR = 0.2;                %  Screen radius (m)\r\nLe = 4;                 %  Screen length (m)\r\nLw = 6;                 %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 15;                 %  Undisturbed saturated thickness (m)\r\nH = [1.0 0.498 0.248 0.123 6.14e-2 3.06e-2 1.52e-2 7.57e-3 3.77e-3];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 8.10e-5;\r\nRe_correct = 1.576;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:2:16;             %  Measurement times (sec)\r\nrc = 0.03;              %  Casing radius (m)\r\nR = 0.2;                %  Screen radius (m)\r\nLe = 4;                 %  Screen length (m)\r\nLw = 6;                 %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 15;                 %  Undisturbed saturated thickness (m)\r\nH = [1.0 0.498 0.248 0.123 6.14e-2 3.06e-2 1.52e-2 7.57e-3 3.77e-3];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 8.10e-5;\r\nRe_correct = 1.576;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:5:40;             %  Measurement times (sec)\r\nrc = 0.04;              %  Casing radius (m)\r\nR = 0.2;                %  Screen radius (m)\r\nLe = 3.5;               %  Screen length (m)\r\nLw = 15;                %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 15;                 %  Undisturbed saturated thickness (m)\r\nH = [0.8 0.404 0.204 0.103 5.21e-2 2.63e-2 1.33e-2 6.72e-3 3.4e-3];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 9.4e-5;\r\nRe_correct = 4.065;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:50:400;           %  Measurement times (sec)\r\nrc = 0.035;             %  Casing radius (m)\r\nR = 0.08;               %  Screen radius (m)\r\nLe = 7;                 %  Screen length (m)\r\nLw = 14;                %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 28;                 %  Undisturbed saturated thickness (m)\r\nH = [1.7 0.978 0.562 0.323 0.186 0.107 6.15e-2 3.53e-2 2.03e-2];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 3.2e-6;\r\nRe_correct = 2.179;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:50:400;           %  Measurement times (sec)\r\nrc = 0.035;             %  Casing radius (m)\r\nR = 0.08;               %  Screen radius (m)\r\nLe = 7;                 %  Screen length (m)\r\nLw = 28;                %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 28;                 %  Undisturbed saturated thickness (m)\r\nH = [1.7 1.11 0.719 0.467 0.304 0.197 0.128 8.35e-2 5.43e-2];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 3.2e-6;\r\nRe_correct = 5.592;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nt = 0:60:480;           %  Measurement times (sec)\r\nrc = 0.04;              %  Casing radius (m)\r\nR = 0.1;                %  Screen radius (m)\r\nLe = 5;                 %  Screen length (m)\r\nLw = 30;                %  Distance from undisturbed water table to bottom of well screen (m)\r\nh = 30;                 %  Undisturbed saturated thickness (m)\r\nH = [1.3 0.651 0.326 0.163 8.16e-2 4.09e-2 2.05e-2 1.02e-2 5.13e-3];   %  Displacements (m)\r\n[K,Re] = BouwerRice(t,H,rc,R,Le,Lw,h);\r\nK_correct = 7.43e-6;\r\nRe_correct = 5.608;\r\nassert(abs((K-K_correct)/K_correct) \u003c 5e-3)\r\nassert(abs((Re-Re_correct)/Re_correct) \u003c 5e-3)\r\n\r\n%%\r\nfiletext = fileread('BouwerRice.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2023-12-30T14:18:44.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-12-30T13:54:14.000Z","updated_at":"2026-02-12T15:36:49.000Z","published_at":"2023-12-30T14:04:33.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground water-bearing formation. One approach is to disturb the aquifer, observe its response, and fit a theoretical formula to the observations. This approach is demonstrated in Cody Problems \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59152\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e59152\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/49743\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e49473\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e,  and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/59147-determine-aquifer-properties-steady-pump-test-in-a-leaky-confined-aquifer\\\"\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e59147\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, which involve steady pump tests in confined or unconfined aquifers, an unsteady pump test in a confined aquifer, and a steady pump test in a leaky confined aquifer. In these cases, a well is pumped at a constant rate, and properties such as the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the aquifer are determined. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInstead of pumping a well, one can displace the water in the well—by pouring water into the well, bailing it out of the well, or inserting a “slug” and removing it quickly—and observing how the water level recovers. In the Bouwer-Rice model of a slug test, the displacement \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of water in the well is given as a function of time \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"t\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003et\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e by\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H = H0 exp(-2KLet/(rc^2 ln(Re/R)))\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH = H_0 \\\\exp\\\\left(-\\\\frac{2 K L_e t}{r_c^2 \\\\ln(R_e/R)}\\\\right)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"H0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eH_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the initial displacement, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"rc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the radius of the well casing, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the radius of the well screen, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Le\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the length of the well screen, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the effective distance over which the water table returns to its undisturbed level. If the distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Lw\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL_w\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e from the undisturbed water table to the bottom of the well is smaller than the initial saturated thickness \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, then \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ln(Re/R) = [1.1/ln(Lw/R) + [A+Bln((h-Lw)/R)]/(Le/R)]^{-1}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\ln\\\\left(\\\\frac{R_e}{R}\\\\right) = \\\\left[\\\\frac{1.1}{\\\\ln(L_w/R)} + \\\\frac{A+B\\\\ln((h-L_w)/R)}{L_e/R}\\\\right]^{-1}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Lw = h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eL_w = h\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ln(Re/R) = [1.1/ln(Lw/R) + C/(Le/R)]^{-1}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\ln\\\\left(\\\\frac{R_e}{R}\\\\right) = \\\\left[\\\\frac{1.1}{\\\\ln(L_w/R)} + \\\\frac{C}{L_e/R}\\\\right]^{-1}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBouwer and Rice provided the coefficients \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"B\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eB\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in a figure, and Yang and Yeh (2004) fit the curves as functions of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x = log10(Le/R)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = \\\\log_{10}(L_e/R)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A(x) = 1.353+2.157x-4.027x^2+2.777x^3-0.460x^4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA(x) = 1.353+2.157x-4.027x^2+2.777x^3-0.460x^4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"B(x) = -0.401+2.619x-3.267x^2+1.548x^3-0.210x^4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eB(x) = -0.401+2.619x-3.267x^2+1.548x^3-0.210x^4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C(x) = -1.605+9.496x-12.317x^2+6.528x^3-0.986x^4\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(x) = -1.605+9.496x-12.317x^2+6.528x^3-0.986x^4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the distance \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Re\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR_e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and determines the hydraulic conductivity \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"K\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e by fitting the Bouwer-Rice formula to measurements of displacement as a function of time. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"407\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"455\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"Schematic of the Bouwer-Rice slug test\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":51783,"title":"Solve an ODE: equation B","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.25px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 106.625px; transform-origin: 407px 106.625px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211.358px 7.91667px; transform-origin: 211.358px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to solve the following ordinary differential equation:  \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 39px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 19.5px; text-align: left; transform-origin: 384px 19.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y\u0026quot; + (1/x) y' - (a^2 + p^2/x^2) y = 0\" style=\"width: 181.5px; height: 39px;\" width=\"181.5\" height=\"39\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.125px; text-align: left; transform-origin: 384px 21.125px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.3917px 7.91667px; transform-origin: 14.3917px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewith \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y(x1) = y1\" style=\"width: 64.5px; height: 20px;\" width=\"64.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 35.0083px 7.91667px; transform-origin: 35.0083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and either \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y(x0) = y0\" style=\"width: 64.5px; height: 20px;\" width=\"64.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.1083px 7.91667px; transform-origin: 10.1083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y'(x0) = y'0\" style=\"width: 74px; height: 20px;\" width=\"74\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.1167px 7.91667px; transform-origin: 38.1167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Along with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 7.91667px; transform-origin: 7.7px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ey1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.275px 7.91667px; transform-origin: 25.275px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, one of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.7px 7.91667px; transform-origin: 7.7px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ey0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 7.91667px; transform-origin: 15.5583px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.55px 7.91667px; transform-origin: 11.55px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eyp0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 109.708px 7.91667px; transform-origin: 109.708px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will be assigned numerical values, and the other will be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.55px 7.91667px; transform-origin: 11.55px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eNaN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 128.742px 7.91667px; transform-origin: 128.742px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The function should return the values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.9px 7.91667px; transform-origin: 80.9px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e at the specified values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 194.483px 7.91667px; transform-origin: 194.483px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOne of the applications for this equation is in groundwater. For \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a = 1\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 7.91667px; transform-origin: 15.5583px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"p = 0\" style=\"width: 38px; height: 18px;\" width=\"38\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 136.567px 7.91667px; transform-origin: 136.567px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e the equation arises in the flow of water to a well pumping in a leaky confined aquifer; the independent variable \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 141.975px 7.91667px; transform-origin: 141.975px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the normalized distance from the well, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 7.91667px; transform-origin: 8.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is related to the piezometric head, a combination of the elevation and pressure of the water. Specifying the derivative at a point amounts to specifying the flow to the well.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 7.91667px; transform-origin: 3.88333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = solveODEB(x,coeff,Xbc,bc)\r\n%  y = values of the solution\r\n%  x = values of the independent variable where the solution is requested\r\n%  coeff = [a p], the two parameters in the ODE\r\n%  Xbc = values of x where the boundary conditions are specifified\r\n%  bc = [y0 yp0 y1] = boundary values (see description)\r\n\r\n  y = f(x,coeff,Xbc,bc);\r\nend","test_suite":"%%\r\ncoeff = [1 0];\r\nXbc = [1 4];\r\nbc = [1 NaN 0];\r\nx = linspace(1,4,7);\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [1 0.505461057363874 0.265959532078956 0.140787844664873 0.071276733472728 0.029333752731051 0];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n\r\n%%\r\ncoeff = [3 1];\r\nXbc = [0.5 4.5];\r\nbc = [0 NaN 2];\r\nx = [cos(pi/4) cos(pi/6) sqrt(2) (1+sqrt(5))/2 sqrt(3) sqrt(5) exp(1) pi 4+psi(1)];\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [0.000035290165611 0.000065476121971 0.000315436935125 0.000552779648598 0.000757412623201 0.003086031722519 0.012031119481478 0.040129255417251 0.089700339919646];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n\r\n%%\r\ncoeff = [1 1/2];\r\nXbc = [1 5];\r\nbc = [4 NaN -1];\r\nx = 1.2:0.75:4.95;\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [2.974028994378906 1.041176175714286 0.308462205553512 -0.076175488441917 -0.426089583908447 -0.952692417292867];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n\r\n%%\r\ncoeff = [2 4];\r\nXbc = [1 Inf];\r\nbc = [3 NaN 0];\r\nx = 1:2:9;\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [3 0.005688558853080 0.000051725255081 0.000000653418086 0.000000009396692];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n%-------------------------------\r\n%%\r\ncoeff = [1 0];\r\nXbc = [1 4];\r\nbc = [NaN 1 0];\r\nx = linspace(1,4,7);\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [-0.696760997897786 -0.352185550727323 -0.185310228971762 -0.098095479140575 -0.049662847941353 -0.020438614824974 0];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n \r\n%%\r\ncoeff = [3 1];\r\nXbc = [0.5 4.5];\r\nbc = [NaN 0 2];\r\nx = [cos(pi/4) cos(pi/6) sqrt(2) (1+sqrt(5))/2 sqrt(3) sqrt(5) exp(1) pi 4+psi(1)];\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [0.000053997354167 0.000075728700374 0.000316920386259 0.000553525214653 0.000757922298088 0.003086129240342 0.012031140116004 0.040129260776539 0.089700342119009];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n\r\n%%\r\ncoeff = [1 1/2];\r\nXbc = [1 5];\r\nbc = [NaN 4 -1];\r\nx = 1.2:0.75:4.95;\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [-2.047695617799804 -0.816404083826666 -0.431398160565887 -0.374418157507686 -0.532801281305956 -0.958228725044217];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n\r\n%%\r\ncoeff = [1 0];\r\nXbc = [1 Inf];\r\nbc = [NaN 3 0];\r\nx = 1:2:9;\r\ny = solveODEB(x,coeff,Xbc,bc);\r\ny_correct = [-2.098451806781317 -0.173147136186896 -0.018397012773047 -0.002117248575316 -0.000253600440751];\r\nassert(all(abs(y-y_correct)\u003c1e-13))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-05-16T01:10:22.000Z","updated_at":"2025-05-09T06:39:10.000Z","published_at":"2021-05-16T01:19:31.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to solve the following ordinary differential equation:  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\u0026quot; + (1/x) y' - (a^2 + p^2/x^2) y = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{d^2y}{dx^2} +\\\\frac{1}{x} \\\\frac{dy}{dx}-\\\\left(a^2+\\\\frac{p^2}{x^2}\\\\right)y = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewith \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y(x1) = y1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey(x_1) = y_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and either \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y(x0) = y0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey(x_0) = y_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y'(x0) = y'0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\\\\prime(x_0) = y\\\\prime_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Along with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, one of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eyp0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e will be assigned numerical values, and the other will be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNaN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. The function should return the values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e at the specified values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOne of the applications for this equation is in groundwater. For \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a = 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea = 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"p = 0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e the equation arises in the flow of water to a well pumping in a leaky confined aquifer; the independent variable \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"x\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the normalized distance from the well, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is related to the piezometric head, a combination of the elevation and pressure of the water. Specifying the derivative at a point amounts to specifying the flow to the well.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"term":"tag:\"groundwater\"","current_player_id":null,"fields":[{"name":"page","type":"integer","callback":null,"default":1,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"per_page","type":"integer","callback":null,"default":50,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"sort","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"body","type":"text","callback":null,"default":"*:*","directive":null,"facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":false},{"name":"group","type":"string","callback":null,"default":null,"directive":"group","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"difficulty_rating_bin","type":"string","callback":null,"default":null,"directive":"difficulty_rating_bin","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"id","type":"integer","callback":null,"default":null,"directive":"id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"tag","type":"string","callback":null,"default":null,"directive":"tag","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"product","type":"string","callback":null,"default":null,"directive":"product","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_at","type":"timeframe","callback":{},"default":null,"directive":"created_at","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"profile_id","type":"integer","callback":null,"default":null,"directive":"author_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_by","type":"string","callback":null,"default":null,"directive":"author","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player_id","type":"integer","callback":null,"default":null,"directive":"solver_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player","type":"string","callback":null,"default":null,"directive":"solver","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"solvers_count","type":"integer","callback":null,"default":null,"directive":"solvers_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"comments_count","type":"integer","callback":null,"default":null,"directive":"comments_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"likes_count","type":"integer","callback":null,"default":null,"directive":"likes_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leader_id","type":"integer","callback":null,"default":null,"directive":"leader_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leading_solution","type":"integer","callback":null,"default":null,"directive":"leading_solution","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true}],"filters":[{"name":"asset_type","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":"\"cody:problem\"","prepend":true},{"name":"profile_id","type":"integer","callback":{},"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":"author_id","static":null,"prepend":true}],"query":{"params":{"per_page":50,"term":"tag:\"groundwater\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"groundwater\"","","\"","groundwater","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007f5e94e45be8\u003e":null,"#\u003cMathWorks::Search::Field:0x00007f5e94e45b48\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007f5e94e8a338\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007f5e94e46188\u003e":1,"#\u003cMathWorks::Search::Field:0x00007f5e94e45f08\u003e":50,"#\u003cMathWorks::Search::Field:0x00007f5e94e45dc8\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007f5e94e45c88\u003e":"tag:\"groundwater\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007f5e94e45c88\u003e":"tag:\"groundwater\""},"queried_facets":{}},"query_backend":{"connection":{"configuration":{"index_url":"http://index-op-v2/solr/","query_url":"http://search-op-v2/solr/","direct_access_index_urls":["http://index-op-v2/solr/"],"direct_access_query_urls":["http://search-op-v2/solr/"],"timeout":10,"vhost":"search","exchange":"search.topic","heartbeat":30,"pre_index_mode":false,"host":"rabbitmq-eks","port":5672,"username":"cody-search","password":"78X075ddcV44","virtual_host":"search","indexer":"amqp","http_logging":"true","core":"cody"},"query_connection":{"uri":"http://search-op-v2/solr/cody/","proxy":null,"connection":{"parallel_manager":null,"headers":{"User-Agent":"Faraday v1.0.1"},"params":{},"options":{"params_encoder":"Faraday::FlatParamsEncoder","proxy":null,"bind":null,"timeout":null,"open_timeout":null,"read_timeout":null,"write_timeout":null,"boundary":null,"oauth":null,"context":null,"on_data":null},"ssl":{"verify":true,"ca_file":null,"ca_path":null,"verify_mode":null,"cert_store":null,"client_cert":null,"client_key":null,"certificate":null,"private_key":null,"verify_depth":null,"version":null,"min_version":null,"max_version":null},"default_parallel_manager":null,"builder":{"adapter":{"name":"Faraday::Adapter::NetHttp","args":[],"block":null},"handlers":[{"name":"Faraday::Response::RaiseError","args":[],"block":null}],"app":{"app":{"ssl_cert_store":{"verify_callback":null,"error":null,"error_string":null,"chain":null,"time":null},"app":{},"connection_options":{},"config_block":null}}},"url_prefix":"http://search-op-v2/solr/cody/","manual_proxy":false,"proxy":null},"update_format":"RSolr::JSON::Generator","update_path":"update","options":{"url":"http://search-op-v2/solr/cody"}}},"query":{"params":{"per_page":50,"term":"tag:\"groundwater\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"groundwater\"","","\"","groundwater","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007f5e94e45be8\u003e":null,"#\u003cMathWorks::Search::Field:0x00007f5e94e45b48\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007f5e94e8a338\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007f5e94e46188\u003e":1,"#\u003cMathWorks::Search::Field:0x00007f5e94e45f08\u003e":50,"#\u003cMathWorks::Search::Field:0x00007f5e94e45dc8\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007f5e94e45c88\u003e":"tag:\"groundwater\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007f5e94e45c88\u003e":"tag:\"groundwater\""},"queried_facets":{}},"options":{"fields":["id","difficulty_rating"]},"join":" "},"results":[{"id":53975,"difficulty_rating":"easy"},{"id":52070,"difficulty_rating":"easy-medium"},{"id":59007,"difficulty_rating":"easy-medium"},{"id":59147,"difficulty_rating":"easy-medium"},{"id":59152,"difficulty_rating":"easy-medium"},{"id":55825,"difficulty_rating":"easy-medium"},{"id":57497,"difficulty_rating":"easy-medium"},{"id":59034,"difficulty_rating":"easy-medium"},{"id":57532,"difficulty_rating":"easy-medium"},{"id":59002,"difficulty_rating":"medium"},{"id":59104,"difficulty_rating":"medium"},{"id":58941,"difficulty_rating":"medium"},{"id":57452,"difficulty_rating":"medium"},{"id":58966,"difficulty_rating":"medium"},{"id":58997,"difficulty_rating":"medium"},{"id":59109,"difficulty_rating":"medium"},{"id":56205,"difficulty_rating":"medium"},{"id":49743,"difficulty_rating":"medium"},{"id":59516,"difficulty_rating":"medium-hard"},{"id":51783,"difficulty_rating":"medium-hard"}]}}