{"id":1405,"date":"2026-05-12T21:47:48","date_gmt":"2026-05-12T21:47:48","guid":{"rendered":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-13\/"},"modified":"2026-05-13T03:38:52","modified_gmt":"2026-05-13T03:38:52","slug":"solution-exercise-13","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-13\/","title":{"raw":"Solution Exercise 13","rendered":"Solution Exercise 13"},"content":{"raw":"<div id=\"solution-exercise-13\" class=\"level1\">\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5.20366in; height: 4.44861in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file162-2.png\" alt=\"\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>[latex]r_{0} = 2,500\\ m[\/latex]<\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>[latex]\\mathrm{\\Delta}s\\ = \\ 21.5\\ \\ m[\/latex]<\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>[latex]T\\ =[\/latex] [latex]\\frac{2.3\\ \\ Q}{4\\ \\pi\\ \\Delta s} = \\frac{2.3\\ \\ \\left( 0.00231\\frac{m^{3}}{s} \\right)}{4\\ \\pi\\ 21.5\\ m}\\ = 2.0\\ x\\ 10^{- 5}\\frac{m^{2}}{s}[\/latex]<\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>[latex]S\\ = \\frac{2.25\\ \\ T\\ \\ t}{{r_{0}}^{2}} = \\frac{2.25\\ \\ \\left( 2.0\\ x\\ 10^{- 5}\\ \\frac{m^{2}}{s} \\right)\\ \\ 86,400\\ s}{{(2,500\\ m)}^{2}} = \\ 6.1x10^{- 7}[\/latex]<\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\n<a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-13\/#exercise-13\"><span data-custom-style=\"Hyperlink\"><strong>Return to Exercise\u00a013<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/simplification-of-the-theis-equation\/#extext13\"><span data-custom-style=\"Hyperlink\"><strong>Return to where text linked to Exercise\u00a013<\/strong><\/span><\/a><u>\u2ba5<\/u>\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"solution-exercise-13\" class=\"level1\">\n<div data-custom-style=\"First Paragraph\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5.20366in; height: 4.44861in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file162-2.png\" alt=\"\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote><p>[latex]r_{0} = 2,500\\ m[\/latex]<\/p><\/blockquote>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote><p>[latex]\\mathrm{\\Delta}s\\ = \\ 21.5\\ \\ m[\/latex]<\/p><\/blockquote>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote><p>[latex]T\\ =[\/latex] [latex]\\frac{2.3\\ \\ Q}{4\\ \\pi\\ \\Delta s} = \\frac{2.3\\ \\ \\left( 0.00231\\frac{m^{3}}{s} \\right)}{4\\ \\pi\\ 21.5\\ m}\\ = 2.0\\ x\\ 10^{- 5}\\frac{m^{2}}{s}[\/latex]<\/p><\/blockquote>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote><p>[latex]S\\ = \\frac{2.25\\ \\ T\\ \\ t}{{r_{0}}^{2}} = \\frac{2.25\\ \\ \\left( 2.0\\ x\\ 10^{- 5}\\ \\frac{m^{2}}{s} \\right)\\ \\ 86,400\\ s}{{(2,500\\ m)}^{2}} = \\ 6.1x10^{- 7}[\/latex]<\/p><\/blockquote>\n<\/div>\n<div data-custom-style=\"First Paragraph\">\n<p><a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-13\/#exercise-13\"><span data-custom-style=\"Hyperlink\"><strong>Return to Exercise\u00a013<\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/simplification-of-the-theis-equation\/#extext13\"><span data-custom-style=\"Hyperlink\"><strong>Return to where text linked to Exercise\u00a013<\/strong><\/span><\/a><u>\u2ba5<\/u><\/p>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":124,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1405","chapter","type-chapter","status-publish","hentry"],"part":1531,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1405","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":2,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1405\/revisions"}],"predecessor-version":[{"id":1831,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1405\/revisions\/1831"}],"part":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/parts\/1531"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1405\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/media?parent=1405"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapter-type?post=1405"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/contributor?post=1405"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/license?post=1405"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}