{"id":1365,"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-16\/"},"modified":"2026-05-13T16:52:01","modified_gmt":"2026-05-13T16:52:01","slug":"exercise-16","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-16\/","title":{"raw":"Exercise 16","rendered":"Exercise 16"},"content":{"raw":"<div id=\"exercise-16\" class=\"level1\">\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe image shown here is a map of the locations of several wells. The number next to each well is a measured hydraulic head in that well (in m\u00a0ASL). Wells PW\u20112 and PW\u20115 are pumping wells. As shown on the map, observation well OW\u20112 is 150 meters from pumping well PW-5 and 260 meters from PW-2.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.6394in; height: 4.1375in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file150-2.png\" alt=\"\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nAssume the following:\r\n\r\n<\/div>\r\n<ul>\r\n \t<li>All wells are completed into the same confined aquifer.<\/li>\r\n \t<li>The elevation of the top of the aquifer is 55\u00a0m\u00a0ASL.<\/li>\r\n \t<li>The elevation of the base of the aquifer is 25\u00a0m\u00a0ASL.<\/li>\r\n \t<li>[latex]K =[\/latex]\u00a07.6 x 10<sup>-6<\/sup>\u00a0m\/s<\/li>\r\n \t<li>[latex]S_{s} =\u00a0 [\/latex] 0.000001\/m<\/li>\r\n<\/ul>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nUsing the information provided:\r\n\r\n<\/div>\r\n<ol type=\"a\">\r\n \t<li>Calculate the drawdown and hydraulic head in OW\u20112 assuming that PW\u20112 is pumped at a constant rate of 500\u00a0m<sup>3<\/sup>\/d for 20\u00a0years.<\/li>\r\n \t<li>During the final 10\u00a0years of the pumping period for PW\u20112, well PW\u20115 is also pumped at a constant rate of 200\u00a0m<sup>3<\/sup>\/d. Calculate the drawdown in OW\u20112 associated with pumping PW\u20115 for 10 years, then determine the final hydraulic head in OW\u20112 assuming 20\u00a0years of pumping at 500\u00a0m<sup>3<\/sup>\/d in PW\u20112 and 10\u00a0years at 200\u00a0m<sup>3<\/sup>\/d in PW\u20115.<\/li>\r\n<\/ol>\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-16\/#solution-exercise-16\"><span data-custom-style=\"Hyperlink\">Solution for Exercise\u00a01<\/span><\/a>6<\/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\/#extext16\"><span data-custom-style=\"Hyperlink\"><strong>Return to where text linked to Exercise\u00a016<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"exercise-16\" class=\"level1\">\n<div data-custom-style=\"First Paragraph\">\n<p>The image shown here is a map of the locations of several wells. The number next to each well is a measured hydraulic head in that well (in m\u00a0ASL). Wells PW\u20112 and PW\u20115 are pumping wells. As shown on the map, observation well OW\u20112 is 150 meters from pumping well PW-5 and 260 meters from PW-2.<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.6394in; height: 4.1375in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file150-2.png\" alt=\"\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>Assume the following:<\/p>\n<\/div>\n<ul>\n<li>All wells are completed into the same confined aquifer.<\/li>\n<li>The elevation of the top of the aquifer is 55\u00a0m\u00a0ASL.<\/li>\n<li>The elevation of the base of the aquifer is 25\u00a0m\u00a0ASL.<\/li>\n<li>[latex]K =[\/latex]\u00a07.6 x 10<sup>-6<\/sup>\u00a0m\/s<\/li>\n<li>[latex]S_{s} =\u00a0[\/latex] 0.000001\/m<\/li>\n<\/ul>\n<div data-custom-style=\"First Paragraph\">\n<p>Using the information provided:<\/p>\n<\/div>\n<ol type=\"a\">\n<li>Calculate the drawdown and hydraulic head in OW\u20112 assuming that PW\u20112 is pumped at a constant rate of 500\u00a0m<sup>3<\/sup>\/d for 20\u00a0years.<\/li>\n<li>During the final 10\u00a0years of the pumping period for PW\u20112, well PW\u20115 is also pumped at a constant rate of 200\u00a0m<sup>3<\/sup>\/d. Calculate the drawdown in OW\u20112 associated with pumping PW\u20115 for 10 years, then determine the final hydraulic head in OW\u20112 assuming 20\u00a0years of pumping at 500\u00a0m<sup>3<\/sup>\/d in PW\u20112 and 10\u00a0years at 200\u00a0m<sup>3<\/sup>\/d in PW\u20115.<\/li>\n<\/ol>\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-16\/#solution-exercise-16\"><span data-custom-style=\"Hyperlink\">Solution for Exercise\u00a01<\/span><\/a>6<\/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\/#extext16\"><span data-custom-style=\"Hyperlink\"><strong>Return to where text linked to Exercise\u00a016<\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":99,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1365","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\/1365","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":4,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1365\/revisions"}],"predecessor-version":[{"id":1872,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1365\/revisions\/1872"}],"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\/1365\/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=1365"}],"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=1365"},{"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=1365"},{"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=1365"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}