{"id":96,"date":"2020-12-27T19:35:25","date_gmt":"2020-12-27T19:35:25","guid":{"rendered":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/chapter\/problem-1-solution\/"},"modified":"2020-12-27T23:04:33","modified_gmt":"2020-12-27T23:04:33","slug":"problem-1-solution","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/chapter\/problem-1-solution\/","title":{"raw":"Problem 1 Solution","rendered":"Problem 1 Solution"},"content":{"raw":"<div class=\"problem-1-solution\">\r\n<p class=\"import-Normal\"><strong>Question: <\/strong>Sketch the hydraulic head gradient along the length of the cylinders below.<\/p>\r\n<p class=\"import-Normal\"><strong>Solution:<\/strong><\/p>\r\n\r\n<ul>\r\n \t<li class=\"import-Normal\">Flow is from right to left. Therefore, the head decreases to the left.<\/li>\r\n \t<li class=\"import-Normal\">Gradient must be steeper in Section A than in Section B, because the cross-sectional area of Section A is less than in Section B, while both sections have the same K.<\/li>\r\n \t<li class=\"import-Normal\">Gradient in Section C is steeper than in Section A, because K in Section C is less than in Section A, while both sections have the same area.<\/li>\r\n \t<li class=\"import-Normal\">Gradient in Section C is the steepest, because it has the lowest K while also having a small cross-sectional area.<\/li>\r\n<\/ul>\r\n<p class=\"import-Normal\"><img class=\"alignnone\" src=\"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-content\/uploads\/sites\/14\/2020\/12\/image45.jpeg\" alt=\"Figure for solution to Example Problem 1\" width=\"1090\" height=\"410\" \/><\/p>\r\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/chapter\/hydraulic-head-gradient-as-a-manifestation-of-other-variables-and-conditions\/#ExampleProblem1\"><span class=\"import-Hyperlink\">Return to Example Problem 1<\/span><\/a><\/p>\r\n\r\n<\/div>","rendered":"<div class=\"problem-1-solution\">\n<p class=\"import-Normal\"><strong>Question: <\/strong>Sketch the hydraulic head gradient along the length of the cylinders below.<\/p>\n<p class=\"import-Normal\"><strong>Solution:<\/strong><\/p>\n<ul>\n<li class=\"import-Normal\">Flow is from right to left. Therefore, the head decreases to the left.<\/li>\n<li class=\"import-Normal\">Gradient must be steeper in Section A than in Section B, because the cross-sectional area of Section A is less than in Section B, while both sections have the same K.<\/li>\n<li class=\"import-Normal\">Gradient in Section C is steeper than in Section A, because K in Section C is less than in Section A, while both sections have the same area.<\/li>\n<li class=\"import-Normal\">Gradient in Section C is the steepest, because it has the lowest K while also having a small cross-sectional area.<\/li>\n<\/ul>\n<p class=\"import-Normal\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-content\/uploads\/sites\/14\/2020\/12\/image45.jpeg\" alt=\"Figure for solution to Example Problem 1\" width=\"1090\" height=\"410\" \/><\/p>\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/chapter\/hydraulic-head-gradient-as-a-manifestation-of-other-variables-and-conditions\/#ExampleProblem1\"><span class=\"import-Hyperlink\">Return to Example Problem 1<\/span><\/a><\/p>\n<\/div>\n","protected":false},"author":1,"menu_order":15,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-96","chapter","type-chapter","status-publish","hentry"],"part":155,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/96","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":3,"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/96\/revisions"}],"predecessor-version":[{"id":237,"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/96\/revisions\/237"}],"part":[{"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/pressbooks\/v2\/parts\/155"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/96\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/wp\/v2\/media?parent=96"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/pressbooks\/v2\/chapter-type?post=96"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/wp\/v2\/contributor?post=96"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/conceptual-and-visual-understanding-of-hydraulic-head-and-groundwater-flow\/wp-json\/wp\/v2\/license?post=96"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}