{"id":1403,"date":"2026-05-12T21:47:47","date_gmt":"2026-05-12T21:47:47","guid":{"rendered":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-12\/"},"modified":"2026-05-13T17:00:37","modified_gmt":"2026-05-13T17:00:37","slug":"solution-exercise-12","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-12\/","title":{"raw":"Solution Exercise 12","rendered":"Solution Exercise 12"},"content":{"raw":"<div id=\"solution-exercise-12\" 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: 5.00313in; height: 4.80139in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file161-2.png\" alt=\"\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>[latex]t_{0} = 1x10^{- 4}\\ days;8.64\\ seconds [\/latex]<\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>[latex]\\mathrm{\\Delta}s\\ = \\ 14\\ 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( 0.00347\\frac{m^{3}}{s} \\right)}{4\\ \\pi\\ 14}\\ = \\ 4.54\\ 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_{0}}{r^{2}} = \\frac{2.25\\ \\ \\left( 4.54\\ x\\ 10^{- 5}\\ \\frac{m^{2}}{s} \\right)\\ \\ 8.64\\ seconds}{{(2\\ m)}^{2}} = \\ 2.2x10^{- 4}[\/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-12\/#exercise-12\"><span data-custom-style=\"Hyperlink\"><strong>Return to Exercise\u00a012<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<u><a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/simplification-of-the-theis-equation\/#extext12\"><span data-custom-style=\"Hyperlink\"><strong>Return to where text linked to Exercise\u00a012<\/strong><\/span><\/a>\u2ba5<\/u>\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"solution-exercise-12\" class=\"level1\">\n<div data-custom-style=\"First Paragraph\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 5.00313in; height: 4.80139in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file161-2.png\" alt=\"\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote><p>[latex]t_{0} = 1x10^{- 4}\\ days;8.64\\ seconds[\/latex]<\/p><\/blockquote>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote><p>[latex]\\mathrm{\\Delta}s\\ = \\ 14\\ 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( 0.00347\\frac{m^{3}}{s} \\right)}{4\\ \\pi\\ 14}\\ = \\ 4.54\\ 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_{0}}{r^{2}} = \\frac{2.25\\ \\ \\left( 4.54\\ x\\ 10^{- 5}\\ \\frac{m^{2}}{s} \\right)\\ \\ 8.64\\ seconds}{{(2\\ m)}^{2}} = \\ 2.2x10^{- 4}[\/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-12\/#exercise-12\"><span data-custom-style=\"Hyperlink\"><strong>Return to Exercise\u00a012<\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><u><a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/simplification-of-the-theis-equation\/#extext12\"><span data-custom-style=\"Hyperlink\"><strong>Return to where text linked to Exercise\u00a012<\/strong><\/span><\/a>\u2ba5<\/u><\/p>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":123,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1403","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\/1403","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":3,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1403\/revisions"}],"predecessor-version":[{"id":1883,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1403\/revisions\/1883"}],"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\/1403\/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=1403"}],"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=1403"},{"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=1403"},{"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=1403"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}