Problem 49743. Determine aquifer properties: unsteady pump test in a confined aquifer

Created by ChrisR

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{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>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. </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example, suppose a confined aquifer initially has no flow. In that case, the piezometric head </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"h\"/></w:customXmlPr><w:r><w:t>h</w:t></w:r></w:customXml><w:r><w:t>, or the level to which water would rise in an observation well, would be a uniform value </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"h0\"/></w:customXmlPr><w:r><w:t>h_0</w:t></w:r></w:customXml><w:r><w:t>. A well turned on and pumped at a rate </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"Q0\"/></w:customXmlPr><w:r><w:t>Q_0</w:t></w:r></w:customXml><w:r><w:t> will create a cone of depression; that is, it will draw down the piezometric head to a level </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"h(r)\"/></w:customXmlPr><w:r><w:t>h(r)</w:t></w:r></w:customXml><w:r><w:t>, where </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"r\"/></w:customXmlPr><w:r><w:t>r</w:t></w:r></w:customXml><w:r><w:t> 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 </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"s = h0 - h\"/></w:customXmlPr><w:r><w:t>s = h_0-h</w:t></w:r></w:customXml><w:r><w:t> as a function of distance </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"r\"/></w:customXmlPr><w:r><w:t>r</w:t></w:r></w:customXml><w:r><w:t> and time </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"t\"/></w:customXmlPr><w:r><w:t>t</w:t></w:r></w:customXml><w:r><w:t> is</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/><w:attr w:name=\"altTextString\" w:val=\"s = (Q0/(4 pi T)) integral(exp(-x)/x, u, infinity)\"/></w:customXmlPr><w:r><w:t>s = {Q_0 \\over 4 \\pi T} \\int_u^\\infty {e^{-x} \\over x} dx</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>where </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"T\"/></w:customXmlPr><w:r><w:t>T</w:t></w:r></w:customXml><w:r><w:t> is the transmissivity, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"S\"/></w:customXmlPr><w:r><w:t>S</w:t></w:r></w:customXml><w:r><w:t> is the storativity, and </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/><w:attr w:name=\"altTextString\" w:val=\"u = Sr^2/(4Tt)\"/></w:customXmlPr><w:r><w:t>u = {S r^2 \\over 4 T t}</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write a function that achieves the objective of a pumping test: to determine the transmissivity and storativity from measurements of drawdown in time. </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"342\"/><w:attr w:name=\"width\" w:val=\"497\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" 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<div 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; "><div 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; "><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style="">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. </span></span></div><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style="">For example, suppose a confined aquifer initially has no flow. In that case, the piezometric head </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">h</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style="">, or the level to which water would rise in an observation well, would be a uniform value </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="h0" style="width: 15.5px; height: 20px;" width="15.5" height="20"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style="">. A well turned on and pumped at a rate </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="Q0" style="width: 19px; height: 20px;" width="19" height="20"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style=""> will create a cone of depression; that is, it will draw down the piezometric head to a level </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" alt="h(r)" style="width: 29px; height: 18.5px;" width="29" height="18.5"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style="">, where </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">r</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style=""> 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 </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="s = h0 - h" style="width: 64.5px; height: 20px;" width="64.5" height="20"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style=""> as a function of distance </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">r</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style=""> and time </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">t</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style=""> is</span></span></div><div 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; "><span style="vertical-align:-17px"><img 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"></span></div><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style="">where </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">T</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style=""> is the transmissivity, </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">S</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style=""> is the storativity, and </span></span></div><div 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; "><span style="vertical-align:-15px"><img 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"></span></div><div 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; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-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; "><span style="">Write a function that achieves the objective of a pumping test: to determine the transmissivity and storativity from measurements of drawdown in time. </span></span></div><div 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; "><img class="imageNode" style="vertical-align: baseline;width: 497px;height: 342px" 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OFy7NixZvTo0d61ivf2PK5eEi4D9OFnu21XvbyxtH7lX1bL1hTZv6A+/Ky8Moi6imjvw0vs/QigSCa6aulQvazOHy5rOuaScAlkxgVHjV0UN4/CX2E8+JvbbY9hq5KmldXFOq8s1rYE4bJ169a2aunkc/WScFkHvtq42yxfHXnZ9R9P1dD5i8vs5KXFqyNjPjq13WqroB3a7LZjQ/Ufbq9G66oGBaOgaOLK5GfnedeMnb2pamXL5k3M+k1bzHmn96ocgF/o6BYHap/+0F38VXG1zzAVTDSOUVxPnlZ/adK4iene0Zv4UujzGuKEy+iqpZOv1UvCZY5yVVBVQEWDkDeUN7Ld8W48iYKn/rLRf9p9W2wy7dqW2Psi/BSgCD6xES6BYPgDpMxcEJkloyJISeNd5pB9tpuO+5Salk3ofUtZjHC5Y8cOs/fee1erWjr5Wr0kXOYhNxPOHzzLtjS0XQ3+4Okqnp32Kq9cKgbhQLiML164ZMwlsCfXk7b449Vm/c521XrRihsUma77b61WyGBFlRqKES617NCECRPse4/eg1TFVMXSvR/17dvX9OjRw7t3fiBchow/eGr8yovvbqnWTXFU+8hfQnqTIHTmL8JlfP5w6Q+L6SJcIkz8VUjNBVjwSf3KzwYtwdOi4qNA4x5d9zUVyFqSYMylU1RUVPH5XXfRLAiEywKiAdaalbdiQyvz/rIv7Ex36dC24vd9r11mv3bN7Cy8Q7+5jdCZ4wiX8cWrXKaLcIl85ELkh5/uNitXbawWIjWRVN3Yh+wTWbeRAFkHCJdZQLjMCQqddt3PVdvNK4u2m8/W1TflO3ZWVjrb71VuF5nnjSh3EC7jI1yiUGjXpLdXlZr3llUPkapE7t+2kdm31Q7z7W8RInMK4TILCJc5zYXO9z9rYBeZ15pjmsXevtW2irDZmvGcdYhwGV+8cBlvbGW8NuESuUTvxxoX+fHGdub1D9fZMZGqPh6xf73K7mxCZB4gXGYB4TLvaEynFrnV7kavvLfa/qXcqnlDO4lIe7wTOLODcBmfP1wy5hL56D8f7rTvs4s/Xmv3tFaQVIg8dP9iqpH5jnCZBYTLUNBsQw0S//irBnamoRvLqfE9LnDyRhgswmV88SqX6SJcIhtUkdQEzEXLvzDvflli1m2K7EbT78hWdk9rjYNndnaIEC6zgHAZWm55i5lvbLA7FL26tNh2qWsMZ9fOLUyvjkwaqolMwqUWYl/x+VqzdMVX5uPP1prjj+5sBh53qHc2PAiXyGUzX//c7o094811ZuW6+pVB8oC9dphv70OQDD3CZRYQLguKutSff7u+3Zt99rtbbXd69/3K7Sz1gYesZ/ehNKQbLsf/dY654pYpZmv5du+WiMbFDc0Dvx1qzh98jHdL/osXLhlziWzTe542xFiwaKN5cVFjuxbx975d3xxxAGMkCxbhMgsIlwVN1c3/frjLThia/e4W2x1EV3pq0gmXCpYX3xAJW5r1//2jOtmQ+eKrH5lVqzfYYPnwuJ/Y82HgD5eMuUQ2qYtbQ4Q0VvK1Fc1N08b17B/QPQ9pTvc2IgiXWUC4hI/rStebs7YZ0yD2nh0juw2d2L2EsOmTTrhscujPbZiMFSKfm7Ow4twOc1q/Lt4t+S9e5TJdhEsko6qk3q/mLNxkx5qri/v7R7QzB3/ja1uh1MLkQDWEyywgXCIJN9jdjU9ylc1C70ZPNVxqnOUhA26ybQXLMHV/x0O4RG1Rpf+FD5qZNz9cY+YubVkRJreYHt9uZY4+cKfpfSh//CIFBRIu+d+AnKZq5YgTd5spV5WaV29tYX7av4VZv6WhuWJyC9Pz2o3mij9vM5Nnf2F3pcCe/AH8pdcWea3CpC5yJ5U2oN6U5xbsNNf9Zb0ZeOtWc+a9Dcwn6xqYE49qY2ZeX2zfl645ZTfBEohC5RJ5TW/8L763y8x+d5dp1Xy3OaHzVnPsES1sl1SYpdMt3vucu+z4SlH39wO/Pdu0a1tir4eRv3LJmEuky42b1NAc9Zb0Pqyx+e5B9cx3v13P7NWiyLsXkCG6xbOAcIkAaWbmfz/cbcc/aekjjdcMaxd6OuFSVd0ep4+xu3s4J/Q8yFwzoj9LESVAuCwMbmLhnAXq6m5ix02e2LW56X1ofbs0EBAowmUWEC5Ri1SB0Dqbc5Y0Mbt2RaqaR7XfYk7s8U3vHvkrnXApCpjjJkw3dz88q9pyRAcf2M68/OTVoVpzlHCJZNx7w7zlxlYnB/UqMV3232EGdg13jwdyAOEyCwiXyBK3beX0tyJdXt/9dpHpuf86M7B7SV4Gq3TDpd/kZ+aZK2550k5OkLAFzHjh0t9FnkqbcBkuGkIz951NZu6ihmbvFtvswuX9j9jJ8kDILsJlFhAuUUf8YzU141PdYPm0tmZNwqVz+sXjzd9nvGXbL0+52vTq2sG2850/XDLmsnAt/2SNmf7BXnZLWg2TOfGgDea4rm1sdzdLBKHOMFscCC91f409u6F59dZic/t5JRX/mRuasVMrPnxu2GxG/XW73aIt7DPQx1x5mtcyZsF7K71WuGQaLJGfZi/cZcY+WWZndo98tJkp22zsChMLbmts7hi2tznlKIIlkA2ESxQ8dYu55Y6mXdXEnPCdeuapt/cyA8ZW3D5+vRk/Y0feBk2tc6lLLB8s/cJrRSb4APlG/y+1FJmWJNPSZFNe2Wm+06GFeWBYI/PctY3tMkFsvgBkH//rAB8tNaKq5n0XRaqaqnqUlW0yZ/2x4vZbt9qqiCYD5IvJz86zi6irC1y78ejDWGHzkakvm6GXT7T30VhLjbsMO3WRO6m0kZs0fvrxuTvNkNvL7B+ACz5vbQZ0qW9mXt/C/r9VdZJxlEDdYswlkCJ9qD3/dmS3oC83NjLHdt5ueh+8uU5mn6c65lKzwzV5Jx4FS03mCVO4ZMxl+LjZ3S8uamyv9z6siTmzF5NxkIeY0JMFhEvkqY1bNL5rZ+Xs8677bzUDujQyfQ6NBLbals6EHlUsH5w017yyYJmdId64uKGdvNPryA7mxstOstfDxB8ua4JwWbeiZ3ef3quFXeWBQIm8RrjMAsIlQqJq9vlWu/+5guZxhzWutR090gmXhYZwmZ80ZGPWQmP+u3Cj3bdbf7Cd3qu53W2LSTgIDWaLA0hV1ezzyP7nry1rYE4asynvJwSFCWMuc9M/5kX27tb4Sf2/0b7dGu/84MiW9v8VwRLIP4RLIGCaneoPmpoQNGDsDnPWXRvNtJe3EDSzyB8W/WMvU2mjduj3X/8P9IeXZnj/96Nd5tjDm9tAqf837JID5D+6xYEs0aSEF96tb6a9ssF0aGvMCYc1Mad13WzatS3x7hGfxkte8bsn7fhIbd+o6xo3qetlGzabMVedFsp9wjNBt3ju0f7dc97dal54r4GZt2Sr6X1YY7vkF0ESBYcxl1lAuESBckHz2Xlfm31a7TRn9mqQdDKQlhSKtWalHrNu/p3eNRAuc4MqlHM+alTxO77JLFhRzwbKIb3qs+4kChtjLgHUFn3AaoHnOb9taq48tZlZtLppZdd5vDGad103xGtVd83wAV4LiTDmsvZpFQVNblOXt36f1eV91rEt7BARdXkTLIHCQOUSyCFuPb+n3mxiZ8uedFRzuyi007nvDWbxx6u9a1QtY/FXLhUWWeey9mm71JmL9rKrJahCqUXNex9KkAT2QOUSQLapsjPqjFI7uUGTgV59f5PpeW25ufKhL21F6N4bf+TdM+LGy072WoiFCTq1R38IaZa3fj+1Xep3D6pXWaEkWAKFjcolkAcULKe/tdP898Nys2jGGLNu3TrTqlUrs/b1W717wGHMZe1Z/ska87f5qlBuMc0bbjU/6d2iIkiyXBCQMiqXAHKFZtXedV4jWxkadl5k7GW7b59g7p7e2H7gIznGXGZG4381Dlh76498tJkpbWrMY5cVmylXldohGwRLANEIl0Ceue1n3eyyQ/+9/1jTuN4m+4GvD/7Js7+wS76gij8sprK2Jd3oEQqUWtx8yO1l5uz765n1WxraQPnctY3NiBN319rOUwDCgW5xIA/pw9+/bNGyL3eZp99saia9tD7r+5znGrrFM+cffsHSQUAtoFscQK7qcfoYrxXRYe965vIBWysnAmkbPS0FowkXmngBxKNhFaP+ut3uljNz3ho705ulgwDUBO8cQJ4ZO366XY5Ix1gUCNz2kz0PaW7+9PxGc9wNm+24uVWrN3j3KjyMuayi4RMaRvGDseXmksea25neM69vYe4Ytje75gCoMbrFgTzTqtsvK7vFU13jUmHisZfKzXNvG3NA63JzRvfNpudh3wzlZAzWuYxP61E++14b886K3aZfl8bmzF47bdUbQJbQLQ4g16ha6Xbv0TFe9TKaJmBcfnJjOyFDO6ZoweuTxmy23aFhnm3OBJ3IeNyxT5bZKqXWo1S398zri+0OUQRLALWByiWQR1zV0qnpDj2aETx+5g7TtP4Wc/b3i81xhzXO+5nATOiJmPbyFjP9rW1mZVljc+pRjc3gnruY5Q3UNSqXAHKJv2rppFO9jEXrFP5zVLEZNbjE7m8+6PYtdhJQGMdmFsKYS/0+aGytJufM/ai+ndylf1+WDwKQTYRLIE+MmxA7RMa7PR2aBKRu0jm/bWonAf14fLHdcjLfZ5r7w2Iqa1vmaze6/hjQEIdT7thtiooammdHN7eL7jPbG0BdoFscyAMfLFll/vzUK6Zl8yZm/aZItXLUyAGV1887vZc5+MB23r2DMXvhLnPfPzeYpk2amp/0XGNO7PFN70xuK6RucYV/rQawYEVjc92gBrYSDSCHFUi3OOESyEMKUNkKPgowD8/eaZZ8sdMM773bDDomt6eYF0K41KzvR19tY9sX9G5geh9KhRLIC4y5BIBIl/l9F0W2/3tj8Ta71aRmH0eP/8x1+T7mcmPFy61JOm7W989/0MA8+rNGBEsAOYd3JQAp0YSQW85taUNmq1atzFl/LLKTR3JZWMZcKlSecddWG+7vu7ChDfuMpwSQq3h3ApAWhUzNPtaamWVlm2wlU920uShfJ+g4GpIw5PYyO/P7ySsa23DP2pQAch3vUgAyNuqMUlvJVDftpRPDvSB7NrnZ32OnbjC3n1diZ36HcTclAOFEuARQI6pkqpt2SK/6dp/qXB2PmQ9jLreWbzcPziwyF04stvt9T7mqlEolgLzDuxaAQGhiiRbs1njMs++vlxPjMfNpzKWGFgy6a5fZsrPY/O0XxSwrBCBvES4BBErjMRUy3XjMulyIPR/GXGrv75/8cZsdWvDopY3M5QO20gUOIK8RLgHUCo3HfGBYIztuMNdnldcVzQK/6s8b7LJCGlrAFo0AwoBwCaDWaLygxg1qS0LNeq7LsZi5NObyq4277R7ury1rYB7+WSnLCgEIFd7RANQ6dZWPGlxi18bM5rJFuTjmUsMERo5fb449vLkZe3ZDusABhA7hEkBWqDqntTGffa+NnVGeDbk25lLB+g//3GGXFxrYlQk7AMKJcAkgq7Rmo2aUjxifnS7oXKF1K2cu2stu2cjyQgDCjHc4AFmnbvKzjm1hTr9jW9YWXq+rMZfaE1xB+vD96tlucAAIO8IlgDqhdTHv/EkDc8PfW9gJLrWhrsdcagKTKpYK0uccSzc4gMJAuARQZ9Q9fOd5Dc1PH6ydrSPreszlNX/dZncuUpAGgELBOx6AOqW1Hf80oqG5fXqJXVA8DFSx1F7rP+3fgmAJoODwrgegzilg3nRmA3PjEztqbQxmNsdcuool61cCKES88wHICS5gBlnBzPaYSyqWAEC4BJBDNAYzyApmtsdcUrEEAMIlgBxTGxXM2kbFEgCq8C4IIOeognnlD+ubq/68IbD9yGtzzOV1TzagYgkAHt4JAeQkBcxh/VqYm57KfH3IbIy51FaWRxzQiIolAHh4NwSQs7T/9sHfKs54L/LaHnP53IKdpmx7M7vjEAAggnAJIKcpuCnAzXz9c++W3DBv6S7z1Cub2NIRAKIQLgHkPAW4R19tYwNdpoIcc6ntKn89eZu547zarYwCQD4iXALIC9omcuzUDWntQ14bYy41wWjk+PXmscuKTYsm3o0AgEqESwB5QUsU3X5eiQ12W8u3e7cmVhtjLjUz/NIflNjvBwCwJ8IlgLzhZpD/6jHvhizTxKLvHlSPmeEAkADvkADyimaQ79+2kZk8+wvvltTUdMzl7IW7zMoNzcw5x2a+NBIAFALCJYC8c80pu80/F7ZKOsEnqDGXGuc57ult5r6LmBkOAMkQLgHkpVQm+AQ15vK6xzeY353VyLsGAEiEcAkgL2lCjSbW3DIttck9mRr3jyLTrVMpWzsCQIp4twSQtzSxpl2rYvP43J3eLfFlMuZS4yyXflbGDjwAkAbCJYC8pvGX/zdvs/nwsz0DYE3HXP7hXzvMgyOD6VoHgEJBuASQ9/44rLm58W+bvGtVajLmsn2vC82dP2ngXQMApIpwCSDvafzl5CtaeNeCsfyV/7XragIA0sM7J4CCkMmYSwBA+giXAEKrpmMuAQDpI1wCCC3CIgBkH+ESAAAAgSFcAigIjLkEgOwgXAIILcZcAkD2ES4BhBZhEQCyj3AJAACAwBAuARQExlwCQHYQLgGEFmMu4Tw3Z6G9lG3Y4t1SJdE5AOkjXAIILcIi5IMlq8z/XPhHe5n8zOverRGJzgHIDOESAJCW8X+dY4o6XWxadfulWfD+J96t8Z1+8Xh7/28ec01K1cHRd/zd3r9z3xu8W2pP4+KGXgtAUAiXAAoCYy6DU1rS1B4VFP/27DzbTuTvM96yx1WrN9hgmswjU1+2xwYN6ttjTbVrSwUbyCbCJYDQYsxl7Rh43KFeqyo4xqOxjH6vvrXMa8X2yoJlNoTKeaf3sseaWrW66vcgUaWSKiYQDMIlgNAiLNaO0pIm5oSeB9m2xiwm6upWWPRLFkZfebPq/if0inyNmvKHxq3l273WnhKdA5A6wiUQcvrgV/Xo+X+/590C1FyvIzt4LWNefPUjr7Wnx59+zR4VSJ3owOk3fW7k91SBsFfXqq9RE/7QSOUSqH2ESyDkNANWM2EHnH+vrTIVKsZcButHJx3ltYx5embsaqT+sFn88Wrbvmb4AHuUePeXVxYstcezTq56fj89p6qfmvRzzJDbzAXXPGrHcSaaWOQfc0nlEqh9hEuggBRaZYYxl7Wn6yH7VlYjo8dVOv6K5sizj6sIeSW27e/69vOvNXn80Z3t0U/V9w4nXGdnn48dP91WQDX55+IbJpkjf3iLvS0WxlwC2UW4BEKukD8wCYu167R+Xe1RE3BiVcVfei0SLjsd0NYGUTcRSKEz1jjNl15b5LWqnttR8FT1XY/T840aOcC8POVqc9d1Z1R2n6uaqUpmNP//ASqXQO0jXAIhxwcmasuAY7/jtWKPo3xm1jv2OOR/utnjqSd2sUeJNU7zxVcityks+sdoiguNmki06IXfmjFXnmbvd/kFfWzIPK1f5LlVyYwOrv7/A1QugdpHuARCjg/MCMZcBs+/JJGbiOMo4Lnxlj27RCqLboa5xBp36QJq9CxxdXe75Ynu+vUZ9hjt4XHneS1jxk2o3j3OmEsguwiXQMgV8gdmtsZcFupEKVUXXZd09LhLf2XSVRV1/4MPbGfb0ff3L1Hkr3CKWxtTj9VYz1j03Ooul+h/D8ZcAtlFuARCLtYHpj587354lp0YoXFqmm0bawxcvqvtMZd63bQF4p+fesW7pfC4IKjfH3/XuAuE0csJuYXRo8dpuvGZ+n2NfswHS7+wxx07dtrf19/84Rl79Ld1dNz9Hf//ASqXQO0jXAIhF/2BqVB5yICbzBW3PGmrRepy1GzbHqePMcs/WePdC4m4UKnXTaGqZfPq4wMLib8L2z8LfMq/5ttjdBWy22H7ea3q1U03PjPWEkQuhKqbXb+vN/3hWXv0t3V03fDR/P8HqFwCtY9wCYSc/wNTYUihUtRVef7gYyqXh9EHc7/z7rHtMApizKUmi7TucW1lqHTWbwpf1TdV/sk3bhylf7ylP0xK/+9/x3f/t+3Rf/9YSxA56hbXRJ4bf36SPWrGeKzjw+N+4j0igjGXQHYV7a7gtbNvyXivASAdRZ0uNrsXP+BdS0xVNoUhRx/Qb/7j2mqhU4tRuy7N6Y9cZgNAvtJrM2lS5OdVWMy0a3zo0KGVr7Equkeecku1QBlm+sPjqQdGeteSG3r5RDP5mXm2rddMFXENuXDXo+mc7qOQuW7+ndV+R2Pd/5vHXGO70TUhaPbjV3i3pk6VT1XrRcFTf1Q5+rftcMKvbTv6HBC4A5P/vyoqKjJ1Gc2CQLgE8lA64VLVNreMS6xgKdrdRItQi6v+5Ct/uKwJf7gUBUtVffV6Rsv316ym/L9j+uPkXy8ttMMv4oVB//21jNCDk+ba2/T7+f70G+3tfr3Puct2obswmi4FUwVUeeC3Q+2C7o4/XEafAwJXIOGSbnEg5PxdfU/dPyLmuDL/DFy35AuqU7BRZUvhxs1+dgp5zKX4x0nOf3dl5fjJ43vG7uKOXpLIzRx3k32iuX3MFfCjZ5mnomzDZq/FmEsgGwiXQMj5PzATfXi6cXBhFcSYS9HrpC5jhUzXhVrIYy5Fv1duhvfEJ/9TOX7yu9062mO09vu2sVVK0cQf9wdN9PqWjqrC7vfzspv+tsdSQ36qgEYPXygtaeq1GHMJZAPhEgg5/wdmoVVt/GExlbUt0xmf6SqZn788zvSOE4oKiQuGLljq9Uk0dtdVf939/QE1FjfsQPfX+Em3jJa76LqGRKi7/bW3q2atC5VLILsIl0DI+T8w/R+y0Zo3LbbHMFVvMp3Mkw7Nts/nCVBBiV5yyN/1HUt0II+1BJGfxkJqPKerYLpltNzFLcKuhdSPPqJ6SKVyCWQXE3qAPJTpbHF15boP52huRq66eqOXcskntTWhB8npd23VV5Eu7rNOOqqy6zsehULRsIJrhg+I+7sZTUFSi7Tr91UXt3yRqqGxvqZCoyYYxfs6bgH2y8/vm/L3AGSkFib0LFu2zF66detmSktLvVvrFuESyEOZzhbXTNx4H/id+95guxzDGi7VRe4qmam0CZcAAlcL4bJ169Zm3bp1ZvDgwWbKlCnerXWLbnEg5FIdc7lmww6vFR61OeYSAHKBe99q06aNPeYCwiUQcv5AmWhMWZuSBvYYpnFnhEUAhWLNmtzZvpdwCYScPyz6t8GLtmlzuT0yYxYA8ofroaFyCSBr/GFx1er46zi62eJh5e8iT6UNAPnA9dBQuQSQNVo7UNsT3vjzkxLO3v3VRSfa+w39YeIlYfKJPyzGG1sZrw0A+YTKJYCsUaDUAtS/+fnJ3i2xaR1B3S9MazYSFgEUCn/l8vXXXzdjx441o0ePNg8++KBdqiibCJcAAAB5yvXQqHJZVlZm+vbta44++mgbLBUwR44caTp27GgmT55s75cNhEsABSGVcZb+NgDkA9dDM2/ePHPkkUeaWbNm2et9+vQx7du3t23R2r3ZCpiESwCh5Q+LqYyzpBsdQL6aP3++Wb58uRk1apRdhP2FF16w3eHjx1dtWPOnP/3Ja9UuwiWA0CIsAigkCpZjxozxrkWMGDHCbg0prqpZ2wiXAAAAecr10Gj7x+hg6fTv399rGTsus7YRLgEUhFTGWfrbAJAPUumh8Y+91D7ktY1wCSC0/GExlXGWdKMDyFescwkAWUBYBFAoEu3Qk+33QsIlAABAnnI9NIkql6kM+dHEn6KiomqXTMdnEi4BFIR4YyvjtQEgH7iqZE32Fm/durWZMGGCHY+pZYx00TqZrVq1srv9pKuo4gl2e+2s+80FRV4LQDpuesSYG8/3rqAavTaTJk2ybYXFTLuDtOAwrzGAIP3m4eSRSxXDdKJZhw4d7PqWw4cPt1s9xqLbtVOPLF261D7Gceeib1fVUuFSs9CnTJni3ZoaKpcAQosxlwAKRaZjLp944gm7DqaCpF9paakNllOnTk27e5xwCQAAkKfccJ5MxlxqB58333zTViwVJqO551y0aJE9popwCaAgxBtbGa8NAPkgiDGX8da+1FjMTBAuAYSWPyz6u4VSaQNAPnBbPl5yySXeLXtSt7fuo/tGd39Lv379vFZ1a9eu9VrpIVwCCC3CIoCw0xJCCo2a3R1Pjx49KkNorO7vGTNmeK3qqFwCAAAgbbGqmX6dO3f2WqkhXAIoCIy5BIDqNJFHPTxvvPGGd0t1msijfcljVTsTIVwCCC3GXAJAYv3797frZEYvlq6Z5FqGSN3u6SJcAggtwiIAJDZu3DjbLa6F1P3rWXbv3t1OBNJYzXQRLgEAAAqUurw1K1yVSoVMt6+4JgjF6y5PhnAJoCAw5hIA4lPAdPuK65Lulo9+hEsAocWYSwDIPsIlgNAiLAJA9hEuAQAAEBjCJYCCwJhLAMgOwiWA0GLMJQBkH+ESQGgRFgEg+wiXAAAACAzhEkBBYMwlAGQH4RJAaDHmEgCyj3AJILQIiwCQfYRLAAAABIZwCaAgMOYSALKDcAkgtBhzCQDZR7gEEFqERQDIPsIlAAAAAkO4BFAQGHMJANlBuAQQWoy5BIDsI1wCCC3CIgBkH+ESAAAAgSFcAigIjLkEgOwgXAIILcZcAkD2ES4BhBZhEQCyj3AJAACAwBAuARQExlwCQHYU7a7gtbNu0SebvBaAdBy0Xwvz0cqN3jX4/c85o0ybdp1N+Y6avbVt+mqx+dfjY71rAFBznfdt7rXiKyoqMnUYzQJBuATyEOEyvh//aqJ59W+/qHyDjvdGnex8zx/dYx77/UXeNQCouUIJl3SLAwgVVSz9b84uQPqlcr6mlU8AKFSESwChE/1Xvz9A+oOlk+w8ACB1hEsABcEFyHjBMdl5AEBqCJcACoILjq5CGS3ZeQBAagiXAEInOiC64CixAmSy8wCA1BEuAYSOPyD6g6OTynkAQGYIlwBCyQXIeEEx2XkAQGYIlwBCyQVHV6GMluw8ACAzhEsAoeOvSMYKkKmcBwBkhnAJIHRccHT8AdIfLJ1k5wEAqSNcAigILkDGC47JzgMAUkO4BFAQXHB0Fcpoyc4DAFJDuAQQOtEB0QVHiRUgk50HAKSOcAkgdPwB0R8cnVTOAwAyQ7gEEEouQMYLisnOAwAyQ7gEEEouOLoKZbRk5wEAmSFcAggdf0UyVoBM5TwAIDOESwCh44Kj4w+Q/mDpJDsPAEgd4RJAQXABMl5wTHYeAJAawiWAguCCo6tQRkt2HgCQGsJlCKxe/YWZ8+IM8+rLc82C+a97t4aLfr6liz/yrgGJRQdEFxwlVoBMdh4AkDrCZZ77/dgbzfe6dTLDzh1kzj3zB+bMU/uYkeed6p2NyPfAee+dt9qfb2Dv7gRMpMQfEP3B0UnlfC4L6x+RAMKhoMOl3qCvvvpqc9apx5ueR+xvDtqvhW1fMmyomTn9Ge9euevB++60F6fnMceaVq1ama+3bLfXy8u32p9JgVM/V77atq3caxlT3Lix1wIScwEyXlBMdj4X3Hjt5fb/8B03/8pe1/93939ax0ceus/eDgC5pGDDpd6s9Qb990kPmPnz55t169bZ29VWsFTA7NbtyJyuEPzz/6baowLlO4tXm7888U/z6tsrzNg7x9vbN2xYb4+inytfNWpU7LWA1Lng6CqU0ZKdzwXbNpfZ45cb69tgqZ4Kv7fenOe1ACB3FFy4/PSTFebUgd8zEyZM8G6JVPxGjRplLrtitBl67kWmffv29vZNqxeb8ff8zrZzjaqS7y9827bPPPsCU1xcVdH71r7722Pbtt8wgwcPtj/ftTeOtbflI3/lEkiFvyIZK0Cmcj4XbN0e+T4WvPyvymA54tJfmieenmXfs04ccJK9DQByScGFy5uvu6wylB1y6BHmP/MX24rfhZdeZy775bXmplvvNs/Pfcc89JdpNmSWlUUqB7nm05UrvJYxHQ48yGvtaczdj9if7/xhl3q35B8ql0iXC46OP0D6g6WT7HxdadisrT0uX77cHvV/+VejbjJdu/Ww71knnTLE3g4AuaSgwqVC5axZs2y7W7du5unn/mOre7Ecd0I/GzJv/f2fvFtyi2aIFwoqlwiCC5DxgmOy83Vh+9ervZaxPSvqhQCAXFdU8UZaZ++kiz7Z5LWyQ93hrmqpYKnKZU2oi13P99abkXGZzVu0rHjOw+3zxgutMu3Jx82yJR+Zs358UWUXtsZ2zn1xhg1SqkQe8p3I80TT/V54/hnzycoV5tl/TLG39enTxxzapad97MEVj/NXM7Q80b9fmmlOH3KO6dipeoWzJt9HLHrs0orn03OKHt+x4qIqSzLRr6Ueqw9SfV+aLX7vXWPs7bNfXlj5vRYyTeb4aOVG7xr8zvjFQ2bB1Mu9a1VccIwXIKPPdx18t3nynmHe2box+vLzzdSpU+24ao2nBpDfOu/b3GvFl2t/5GaiYMKllrDRUjaisKRwmSmNd7zi0gvizijXB8Ett99vThxwsndLdZqZrglEmnij8Hb+0JMrJxT5aZxkdHf2hef80Px7zovetdj8ocN9LQXOu+572Ls1oibfh5+qqNdfObyyKhzttKEXm9tuu827tieF0hHnD475tfU969+OcFkd4TI+hcu3pl1R7c05+s06letdBt1V5+FS7zP6I7J5205m/vw3vVsB5KtCCZcF0y2uippz+pCzvVb6VGH74Yk9KoOl3vQVIocPH2672kUhSbPNVXGLZXuDNva49IP55oxBP7T3VyDV87jnkFtvGrVHgD2u90Bb0XOTjkRt3aZLdKB1X6txwz1/UdP5PlyVNJqC5YABAyuDpR6r7jtd3PeoGfnRa286qlZq1r4Llvr6CsI6ij5cH3skMvsdSJXemPUGLbHeqFM5nwvcmMuGO9bYIwDkg4IJl0t8i2/vu98BXit99/zhj5WD6zVbU9WE+x+aZK68/vdm8tMvmedmv2HPiaptscZGug8KzVjftnmtrQyqy0vPo+dwSwnJnyfe77UiVEHUoP7b7vlf7xZjRv58lL1NFz2HX3PzpT3ubLS3Pfq5c6l8H5Mfq/p6frff/ns7q15hUNVgPVYTo3TRmFWFblH4VIUy2u23Xue1IlVKfX13dD9LrIomkIwLkPGCYrLzuaD+tsj/0ZYtW9ojAOSDwgmXH6/yWlVL9aRLVTZV4URL/Gi2ZjSNa9RMc+ePXneun/+DQgEqust50BnnVFYONWayJuoXl0aO3oeUnzsnmXwfKz96rfL1uHDE5THHZip0uyqkFoT20+vpuvjVdR4981VVUC25AmTCBUdXoYyW7HwuWb++as1aAMh1BRMuV3z4qtcypqRlVahKh1u0XH76s2u91p4001zd5fLy3Bfs0c99UGgiTnQ3tvO94wd4rdgzwzXuMxXryxt5rT25c5l+H39/ZqbXiqy9F893j+1rj6s+W2mPzpwXqx5/9llneK3qNBko0XMDsfgrkrECZCrnc0nTZi28FgDkvoIJlx06dPBaxmxYn9nalf6u9eiZ19EGHNfFHl0Xup+rXJZ849v2GMu3fF3328r3XIrHv2h6Ins12+G19tSuaSTkuspiLIm+j5WrIq+jHj/nxRm2uqmLur/9bTduTN3b/lD82adVs18TzShnnUukywVHxx8g/cHSSXa+rrjhLIn+SASAXFMw4XKvdlUhSZNyMrF29Wf2mCiMOW3aRCbLSPTXc5XLWF3VqdqwIbWA7L5WrDGXqzZHQm6sc6n4fPm79qjQOOzcQebcM39gL5qg42+7rnPxb0m58uMl9pjs9WSdSwTBBch4wTHZ+brg3iM0PvpbrQvm7RpAniucyuWBVZVGfwUyHWvXrrXHVLqoihpWLTfQqLh65S2ILq6SktS69l2VNDrI6oPKTejJNORuL//aHhUO3QzxeBd1bWuCkH/9z+3bd3qtxKhcIgguOLoKZbRk5+vSJrO3+XTtLu8aAOS2ggmX/kk8UydXX+8xVR07drTH1WuTr8/pD7DRC6q7Lq5MK4aSauXyq68beK3q9EGlD6ya8A81cDPE4120ZZ0mCPk1a9LQHpkNjqBFB0QXHCVWgEx2vq6494hEw1sAINcUTLjUGpCu+1XjIOMtgJ5I50O62qOW7UnWtb74w0iXcawZ1G6sY026xVOpXPqrk9FBNogutn32j1SDMw2H7vWUWMsUAZnyB0R/cHRSOZ8LtPmAFsvXsl4AkC8KahDPDb+702tF1qBMNuNaAVJbJDraWtGZ9sRjXmtPCq5uIs9xJ5xoj35urGNNpFK59Fcno4Oszrn1NjOtoHbxTcJ58L6q1zZV/qEK2nIyFv0bsIg6MuECZLygmOw8ACAzBRUutY6i2zVGaywe1+OgmBUzhU6FpQF9jzXjbh7t3Vr98Qqnsaqf2qrw6tHX27YqpeoO9lPFsGXxNu9a5lIdc5mI26En0wqqllyqfD3+cE/C6qNel+iljNRN7qrJej31b+Knx/zwlFPpNkdGXHB0Fcpoyc4DADJTUOFSHp70bGUgUmjRbGbt03zWqcfby6kDv2cO79TW/H7sjbb7+6CDD7P3dX59c1WFTls86jHa5lH31/XTBvayO9aI9hePporh5q8je0JnY8xlKjv01OT7cK+HXiu9lnfc/Cv7WihoPvLQfbbd/9jD7b7uj0btNiRafN3R3uajLz/fPkZHPUavpRasB9Lhr0jGCpCpnAcAZKbgwqUm9mj8knaE8Zs/f769+KtnQ8+9qNpuO6JqnbZZdBU3PUZVN1U6VcncWr7dhlftLBNvYfKaVgwl1cploh16GjdrbY81+T70emjbRxfYtZWkXgsFTe1JrrYbIvD94/ccIqBZ5K66q7A/depU+xgdZfz48eZnV/7WtoFUueDo+AOkP1g6yc4DAFJXVPEmWmfvoos+ST7rujap2/X99962xzffeNkujaPFvDW2UsEw0ULl6uKd++JMs2zJR5GFwhvWNz2/29s+XpdEj9U4Tj1OYUsTjWLR9/TUlMftMjyabR1NYxEnPzbRnld3fbxF3RN9rSC+Dz/3fHo9tExRw+Jm5uhe37eTmuIFbUdfZ0ZFOH/1v7NNy9K9zLEnRL4nN8tf1cxUvodCoWq7JnpgT2f84iGzYGr1rUadZMHRf77r4LvNk/cMs20ACELnfauWKYwnDH/gFnS4BPIV4TK+eOHSvWHHe+OOPk+4BBC0QgmXBdctDiD89Obs53+zdgHSL9l5AEDqCJcAQscfEP3B0UnlPAAgM4RLAKHkAmS8oJjsPAAgM4RLAKHkgqOrUEZLdh4AkBnCJYDQ8VckYwXIVM4DADJDuAQQOi44Ov4A6Q+WTrLzqDmtX/u/992SdNtdAPmPcAmgILgAGS84JjuPmtm0cb0ZO3as6X7Et23QJGQC4UW4BFAQXHB0Fcpoyc6jZrQJgmirWG2KoJBJJRMIJxZRB/IQi6jHp0XU35p2RbUKZHRFMtH1WbNmmb59+5rmbTtVvM4l9rZ89M19O5p994vscFXXFCxfe+Xf5tWX53q3VNFWuheOuNycP+yShDubAWHADj1ZQLgEMkO4jM/t0OPeoOO9Ucc7v2zZMvPRx+vMyNH3mZt/OcQGHlXXoo9S120dFdg27ig2xTvX23Pl9VtWtnNJvHApgwcPNj/92bVxt7EFwoJwmQWESyAzhMv4/Ns/JnuTTnSe7R+Dde+dt5p77xrjXYtQqPzZlb8139o3NyqsQG1j+0cAyGPuDVrHWJKdR+1RqJz98kIz5u5HCJZACBEuAYSO/y//WAEylfMIVqPixmbEpb808xZ+QqgEQo5wCSB0XHB0/AHSHyydZOdRcwqWvxp1kykpaendAiCsCJeotHr1F2bOizPsoPsF81/3bgXCwQXIeMEx2XkAQGoIlwUiWVjUunPf69bJDDt3kDn3zB+YM0/tY0aed6p3Fsh/Lji6CmW0ZOcBAKkhXIaclivRzGKFxbNOPd67tTrtlqGL0/OYY+3ac19v2e7dAuSX6IDogqPECpDJzgMAUke4DLkNG6rWu5s/f77Xqu6f/zfVHhUo31m82vzliX+aV99eYcbeOd7eDuQbf0D0B0cnlfMAgMwQLkOubdtvmJNOGWKrkdfeONa7tYoqm+8vfNu2zzz7Arsos8NsTuQzFyDjBcVk5wEAmSFcFoC77nvYViPPH3apd0uVT1eu8FrGdDiQ3TEQHi44ugpltGTnAQCZIVwWOM0QB8LGX5GMFSBTOQ8AyAzbP6ZIy/P8+6WZ3rWIg79zuDlxwMnVupJj+fSTFeaTlR9XPr55i5amX8XjtI+uuqUfeeh+09BsMecM+9UezzXtycfNsiUfmb79TzZdu/Xwbq1OAfHRiffb5z1/2CV7PIeWF3r9lX+b04ecU7l3r2aPv/D8MxXf1wrz7D+m2Nv69OljDu3S02zbVm5/NnWnR9PjllZ8P/qeRNXOjhWXeN+buJ/hrB9fZLva9XpMfmyiWbL4I9PlyB5m0Jnn2O57pI7tH+Pzb//o5wKlP1j6RZ9n+0cAQWNv8SzIh3D5yEP3mQf+MM6sW7fOu6W65m07mf99aELccKUwNuL8wTEfrwWFTz51iOl9zKH2urZDix7nqBAh2i5Nu1rEomWE3GzvWM/R84j97df3P4eWGZo1a5Ztx+MPLwqw1185PO5jTht6sbntttu8a9W5r68JQlpA+ZJhQ70zEU88PSthOMWeCJfxxQuXkuxN23+ecAkgaOwtDlthu/WmUTYYaSa1qpSXXTHaXlTlk02rF9vwqApktKWLPzI/HjqkMljqOVQN1FEUCm++7jLbTmbr9sy76bY3aGOPOxvtbY9y5NHH20k+hxx6hHeLMe3btzfdunWzt+tndRQsBwwYWBks/a+DHiN/n/RA3HUx3df/dOXH5rqrLrFtvQbusRs2lNkjUJvcG7aOsSQ7DwBIDeEyCYUtTYjR0jz3PzTJXPbLa+1l/J+ftuFKFB6f/UdkOR+/G6+93GzbvNa23XP4n0uSVQ+dxg0z/yumufnSHutvixxFW7Fpks9Nt97t3WLML6660Ux++iV7u/v+5I93jbEhWoHw6ef+U+11eH7uO2b48OH2fvpZYi3W3nDHGnu8t+J59Frpa+s10GO19JHCLBCk6IDogqPECpDJzgMAUke4TEDdywpbscYeisKVs/SD6mtIankfjdMUdRlHP4eqf+oOTlWiymWjRsVeK7b6xaVeK7Hy8nKvVUXV10l/mWjbF464vFql07ny+t9XVmMVqKO1bFm1l7B+bg0HcDQ+NNmYVSBd/oDoD45OKucBAJkhXNaQC1Vr1kSqc86cF6sm/5x91hleqzqNM1QVLxWJKpeagJPI+vJG9ujvFndidef7uck+kuh7dcMEVn220h791q+PLOSubnBVboFscAEyXlBMdh4AkBnCZYbU/evvAo6uLG5c+6nXioTIeJJVHZ1MK5ffal0vZre4k6xquHJVZDykQrRmnasaq4t+dn/bBVd1e0cH1qbNIpOSunfvTpUSWeOCo6tQRkt2HgCQGcJlCtQ1fPXVV9sZuu6ivbp1cZN1GjZra4/OW++8b4+ushlPsqqjE/38fome49O1u8wms2fF0kk2mWbDFx/ao37OYecOMuee+QN70c/ub2tCj+PfclJc5RTIFn9FMlaATOU8ACAzhMskNKN7YO/uleFJk090cbOqnVhVwVSkWrnc/vVqr7WnVJ8jlpKSxOMxy8qqKpduhni8i7rNtdxQ9JqV7ZpWD5tAbXPB0fEHSH+wdJKdBwCkjnCZgBb/dutHKkz+Z/5iO5NaFzerOt7+282aNLRHV9mMJ9XKZU3GXLpu8VhjLpNVLjt06OC1IhOYEl00UWfQGed4966yanNkQk+srw9kiwuQ8YJjsvMAgNQQLhN4/T8zvJaxYTK6IqfxjK7LN3pMZKvO/bxWZHxmPMmqjq5bfdmyZfYYS7LncLPFY1VXk1Uu99k/sqNPspCcSKIxn0C2uODoKpTRkp0HAKSGcJnAex8sske32He0pZ9vrlzDMXpM5FG+h8x9sSqk+mmR9sceGe9di63dPvvZY7xwqSWPtH5kIonGPCarXHbxTUZyVdx0JRrzCdSG6IDogqPECpDJzgMAUke4TMB1eS9fvtwGQT/NiNYEF1fRi67KDf7xzyqrjgp/CoF+miT0w1NOTVoRdDPNdb/ocKfnOGPQD71rsflni8eSrHJ53An9KsP1vX+4J2EVVt+PdvOJtlezHV4LyA5/QPQHRyeV8wCAzBAuEzjplMFey9ggqMk9CldaKPyYY46pXCQ9Hi067pw/9GQz+vLz7XPoqElC2vWm0wHxZ4HLeRdGtksUPVb7cuuo2et6Du0A5NaYjMU/WzyTMZfy65sjoVZfSzPD9fPfe+et9rXQ3uv6fvofe7j9fiZ7C677uXUuGXOJbHIBMl5QTHYeAJAZwmUC2lXHbW2oIKjKocKVdqzRdU1g8e82E02zp0eNGmXbqjxOnTrVPoeOopnV/zNomG3H07HTQdW2Ypw5/Rn7HG72up5/5C9+bdvxuK77TMZciqqX2vbRVTD186saq9dCe6/r+1F1V/zd6I7boYcxl8gmFxxdhTJasvMAgMwUVby51tmf7Ys+2eS1cpsqdE9Nedx8uPBN07rtPqbLkT3MyacOsd3mOvfC88/Y27S1YSzqEv/n/001i95fYL7est12dZ/144vs41X1c93ds19eGHf2ubrlpz3xmFn41qumXsOm5uhe3zcnVXwPmmSkruhHJ95vJ/Zo1nY0zXr/dOXHNvgpKPrpeSc/NtE+VmFaYTYR91z/eWm6aVjczGwv/9r07n+qObDicfF+fj1m2ZKPzPePP5F9xAOitVY/WrnRuwa/M37xkHlr2hXVKpLRFcpUrncZdJd58p7Ef/wBQDo679vca8UX/X6UjwiXdUzdy25CTqJwCfgRLuNTuFwwdc897t0bdrw37ujzXQffTbgEEKhCCZd0iwMoCImCpSQ7DwBIDeESQEHwVyZjSXYeAJAawmUdS3WHHgCpiw6ILjhKrACZ7DwAIHWEyzrWvEVkJjWA4PgDoj84OqmcBwBkhnBZx7Rc0RNPzzLPzX6DyTxAgFyAjBcUk50HAGSGcJkDtDRRsiWAAKTHBUdXoYyW7DwAIDOESwCh469IxgqQqZwHAGSGcAkgdFxwdPwB0h8snWTnAQCpI1wCKAguQMYLjsnOAwBSQ7gEUBBccHQVymjJzgMAUkO4BBA60QHRBUeJFSCTnQcApI5wCSB0/AHRHxydVM4DADJDuAQQSi5AxguKyc4DADJDuAQQSi44ugpltGTnAQCZIVwCeeD9hW+bg/ZrUXkR//WZ05+xtyHCX5GMFSBTOQ8AyAzhEsgDhxx6hOnTp493rbr27dubEwec7F2DuODo+AOkP1g6yc4DAFJHuATyxC+uvtlrVXf1r8d4LSTiAmS84JjsPAAgNYRLIE/Eql7qNqqWqXHB0VUooyU7DwBIDeESyCPR1cvLrhjtteAXHRBdcJRYATLZeQCoLa+//roZPXq0vYwdO9be5q7rovP5pqjijbTO+oAWfbLJawFI1SXDhtoJPBpr+fzcd7xb4Zzxi4fMgqmXVwZGf3D0S3a+6+C7zZP3DPOuAUDNdd63udeqrnXr1mbdunXetep0e2lpqXctP1C5BPLMlaNuskfGWiaWKDhKsvMAkC03/O5Or1XdqFGj8i5YSp1WLn9zAV1PQCZeXGDMCV29K6jmX5tvM+U7GnrXaua0kiu8FgDU3G8ejh+5YlUvly5dajp06OBdyx+ESwAAgCxIFC413lJjLB1VLceMyc8eKsIlAABAFiQKl+KvXubjWEuHMZcAAAA54Oqrr7bHfB1r6VC5BAAAyIJklUtR9VJjLfM5XFK5BAAAyBFvvPFGXgdLIVwCAADkiHycHR6NcAkAAIDAEC4BAAAQGMIlAAAAAkO4BAAAQGAIlwAAAAgM4RIAAACBIVwCAAAgMIRLAAAABIZwCQAAgMAQLgEAABAYwiUAAAACQ7gEAABAYAiXAAAACAzhEgAAAIEhXAIAACAwhEsAAAAEhnAJAACAwBAuAQAAEBjCJQAAAAJDuAQAAEBgCJcAAAAIDOESAAAAgSFcAgAAIDCESwAAAASGcAkAAIDAEC4BAAAQGMIlAAAAAkO4BAAAQGAIlwAAAAhM0e4KXhsAAACoESqXAAAACAzhEgAAAIEhXAIAACAwhEsAAAAEhnAJAACAwBAuAQAAEBjCJQAAAAJDuAQAAEBgCJcAAAAIDOESAAAAgSFcAgAAIDCESwAAAASGcAkAAIDAEC4BAAAQGMIlAAAAAkO4BAAAQGAIlwAAAAgM4RIAAACBIVwCAAAgMIRLAAAABIZwCQAAgMAQLgEAABAQY/4f/mm2bzqFihoAAAAASUVORK5CYII=" 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Last Solution submitted on Jan 16, 2021

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Solution 4537978

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ChrisR on 4 Jan 2021

My initial attempts at my own problem involved NLINFIT and FIT. Unfortunately, neither of these is available in Cody. This solution provides a third approach--which also appears to not be available in Cody.

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curve fitting groundwater special functions

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Problem 49743. Determine aquifer properties: unsteady pump test in a confined aquifer

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Problem 49743. Determine aquifer properties: unsteady pump test in a confined aquifer

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