{"id":1361,"date":"2026-05-12T21:47:40","date_gmt":"2026-05-12T21:47:40","guid":{"rendered":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-13\/"},"modified":"2026-05-13T16:49:33","modified_gmt":"2026-05-13T16:49:33","slug":"exercise-13","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-13\/","title":{"raw":"Exercise 13","rendered":"Exercise 13"},"content":{"raw":"<div id=\"exercise-13\" class=\"level1\">\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nA well is pumped at 200\u00a0m<sup>3<\/sup>\/d for 24\u00a0hours. Drawdowns are measured in four observation wells located at distances ranging from about 20 to about 140\u00a0meters from the pumping well. The table\u00a0shows the distance to each well and drawdown in that well 24 hours after pumping began. The graph shows the drawdown data on a linear scale as a function of distance on a semi-log scale. Use the Cooper\u2013Jacob simplification of the Theis equation to determine [latex]T[\/latex] and [latex]S[\/latex] for the formation.\r\n\r\n<\/div>\r\n<table style=\"width: 33%;\" data-custom-style=\"Table\"><colgroup> <col style=\"width: 18%;\" \/> <col style=\"width: 14%;\" \/> <\/colgroup>\r\n<thead>\r\n<tr>\r\n<th style=\"text-align: center;\"><strong>Distance from PW<\/strong><\/th>\r\n<th style=\"text-align: center;\"><strong>Drawdown<\/strong><\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td style=\"text-align: center;\"><strong>m<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>m<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">22<\/td>\r\n<td style=\"text-align: center;\">42.8<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">49<\/td>\r\n<td style=\"text-align: center;\">36.7<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">80<\/td>\r\n<td style=\"text-align: center;\">31.2<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">139<\/td>\r\n<td style=\"text-align: center;\">26.6<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.98011in; height: 4.25309in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file149-2.png\" alt=\"\" \/>\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\/solution-exercise-13\/\"><span data-custom-style=\"Hyperlink\"><strong><u>Solution for Exercise\u00a013<\/u><\/strong><\/span><\/a>\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\/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=\"exercise-13\" class=\"level1\">\n<div data-custom-style=\"First Paragraph\">\n<p>A well is pumped at 200\u00a0m<sup>3<\/sup>\/d for 24\u00a0hours. Drawdowns are measured in four observation wells located at distances ranging from about 20 to about 140\u00a0meters from the pumping well. The table\u00a0shows the distance to each well and drawdown in that well 24 hours after pumping began. The graph shows the drawdown data on a linear scale as a function of distance on a semi-log scale. Use the Cooper\u2013Jacob simplification of the Theis equation to determine [latex]T[\/latex] and [latex]S[\/latex] for the formation.<\/p>\n<\/div>\n<table style=\"width: 33%;\" data-custom-style=\"Table\">\n<colgroup>\n<col style=\"width: 18%;\" \/>\n<col style=\"width: 14%;\" \/> <\/colgroup>\n<thead>\n<tr>\n<th style=\"text-align: center;\"><strong>Distance from PW<\/strong><\/th>\n<th style=\"text-align: center;\"><strong>Drawdown<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><strong>m<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>m<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">22<\/td>\n<td style=\"text-align: center;\">42.8<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">49<\/td>\n<td style=\"text-align: center;\">36.7<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">80<\/td>\n<td style=\"text-align: center;\">31.2<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">139<\/td>\n<td style=\"text-align: center;\">26.6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div data-custom-style=\"Body Text\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.98011in; height: 4.25309in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file149-2.png\" alt=\"\" \/><\/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\/solution-exercise-13\/\"><span data-custom-style=\"Hyperlink\"><strong><u>Solution for Exercise\u00a013<\/u><\/strong><\/span><\/a>\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\/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":96,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1361","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\/1361","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\/1361\/revisions"}],"predecessor-version":[{"id":1869,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1361\/revisions\/1869"}],"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\/1361\/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=1361"}],"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=1361"},{"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=1361"},{"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=1361"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}