{"id":1366,"date":"2026-05-12T21:47:41","date_gmt":"2026-05-12T21:47:41","guid":{"rendered":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-17\/"},"modified":"2026-05-13T16:52:58","modified_gmt":"2026-05-13T16:52:58","slug":"exercise-17","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-17\/","title":{"raw":"Exercise 17","rendered":"Exercise 17"},"content":{"raw":"<div id=\"exercise-17\" class=\"level1\">\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nCalculate the drawdown at the observation well in <a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/multiple-wells-boundaries-and-image-wells\/#X41230d5effe9a38c54e6c3e56671e989935d393\"><span data-custom-style=\"Hyperlink\">Figure\u00a055<\/span><\/a> and <a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/multiple-wells-boundaries-and-image-wells\/#X6d9393a3695b307de1435673c1cfeba7b60885b\"><span data-custom-style=\"Hyperlink\">Figure\u00a057<\/span><\/a> given the following assumptions:\r\n\r\n<\/div>\r\n<ul>\r\n \t<li>the system behaves in a nearly linear manner even after pumping, i.e., drawdown is small relative to aquifer thickness<\/li>\r\n \t<li>[latex]r_{boundary} =\u00a0 [\/latex] 250 m<\/li>\r\n \t<li>[latex]r_{pump\\ well\\ to\\ observation\\ well} =\u00a0 [\/latex] 200 m<\/li>\r\n \t<li>[latex]Q =\u00a0 [\/latex] 1,000 m<sup>3<\/sup>\/d<\/li>\r\n \t<li>[latex]K =\u00a0 [\/latex] 2.0x10<sup>-5<\/sup>\u00a0m\/s<\/li>\r\n \t<li>[latex]b =\u00a0 [\/latex] 20 m<\/li>\r\n \t<li>[latex]S =\u00a0 [\/latex] 0.0001<\/li>\r\n \t<li>[latex]t =\u00a0 [\/latex] 10 years<\/li>\r\n<\/ul>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\n<strong><u><a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-17\/\"><span data-custom-style=\"Hyperlink\">Solution for Exercise\u00a0<\/span><\/a>17<\/u><\/strong>\u2ba7\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\/multiple-wells-boundaries-and-image-wells\/#extext17\"><span data-custom-style=\"Hyperlink\"><strong><u>Return to where text linked to Exercise\u00a017<\/u><\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"exercise-17\" class=\"level1\">\n<div data-custom-style=\"First Paragraph\">\n<p>Calculate the drawdown at the observation well in <a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/multiple-wells-boundaries-and-image-wells\/#X41230d5effe9a38c54e6c3e56671e989935d393\"><span data-custom-style=\"Hyperlink\">Figure\u00a055<\/span><\/a> and <a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/multiple-wells-boundaries-and-image-wells\/#X6d9393a3695b307de1435673c1cfeba7b60885b\"><span data-custom-style=\"Hyperlink\">Figure\u00a057<\/span><\/a> given the following assumptions:<\/p>\n<\/div>\n<ul>\n<li>the system behaves in a nearly linear manner even after pumping, i.e., drawdown is small relative to aquifer thickness<\/li>\n<li>[latex]r_{boundary} =\u00a0[\/latex] 250 m<\/li>\n<li>[latex]r_{pump\\ well\\ to\\ observation\\ well} =\u00a0[\/latex] 200 m<\/li>\n<li>[latex]Q =\u00a0[\/latex] 1,000 m<sup>3<\/sup>\/d<\/li>\n<li>[latex]K =\u00a0[\/latex] 2.0&#215;10<sup>-5<\/sup>\u00a0m\/s<\/li>\n<li>[latex]b =\u00a0[\/latex] 20 m<\/li>\n<li>[latex]S =\u00a0[\/latex] 0.0001<\/li>\n<li>[latex]t =\u00a0[\/latex] 10 years<\/li>\n<\/ul>\n<div data-custom-style=\"First Paragraph\">\n<p><strong><u><a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-17\/\"><span data-custom-style=\"Hyperlink\">Solution for Exercise\u00a0<\/span><\/a>17<\/u><\/strong>\u2ba7<\/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\/multiple-wells-boundaries-and-image-wells\/#extext17\"><span data-custom-style=\"Hyperlink\"><strong><u>Return to where text linked to Exercise\u00a017<\/u><\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":100,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1366","chapter","type-chapter","status-publish","hentry"],"part":1522,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1366","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\/1366\/revisions"}],"predecessor-version":[{"id":1873,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1366\/revisions\/1873"}],"part":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/parts\/1522"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1366\/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=1366"}],"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=1366"},{"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=1366"},{"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=1366"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}