{"id":1391,"date":"2026-05-12T21:47:44","date_gmt":"2026-05-12T21:47:44","guid":{"rendered":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-3\/"},"modified":"2026-05-13T03:37:43","modified_gmt":"2026-05-13T03:37:43","slug":"solution-exercise-3","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-3\/","title":{"raw":"Solution Exercise 3","rendered":"Solution Exercise 3"},"content":{"raw":"
\r\n
\r\n\r\n[latex]{\\mathrm{\\Delta}h}_{ab}[\/latex]\u00a0=\u00a02\u00a0[latex]m[\/latex]\r\n\r\n<\/div>\r\n
\r\n\r\n[latex]{\\mathrm{\\Delta}l}_{ab}[\/latex]\u00a0=\u00a05\u00a0m\r\n\r\n<\/div>\r\n
\r\n\r\nVertical gradient (a-b)\u00a0=\u00a0[latex]\\frac{2\\ m}{5\\ m}[\/latex] =\u00a00.364\r\n\r\n<\/div>\r\n
\r\n\r\nThe gradient is downward.\r\n\r\n<\/div>\r\n
\r\n\r\n[latex]{\\mathrm{\\Delta}h}_{bc}[\/latex]\u00a0=\u00a01\u00a0m\r\n\r\n<\/div>\r\n
\r\n\r\n[latex]{\\mathrm{\\Delta}l}_{bc}[\/latex]\u00a0=\u00a01,500\u00a0m\r\n\r\n<\/div>\r\n
\r\n\r\nHorizontal gradient (b-c)\u00a0=\u00a01\u00a0m\/1,500\u00a0m\u00a0=\u00a00.00067\r\n\r\n<\/div>\r\n
\r\n\r\nThe gradient is from left to right in Figure\u00a09<\/span><\/a>.\r\n\r\n<\/div>\r\n
\r\n\r\nReturn to Exercise 3<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n
\r\n\r\nReturn to where text linked to Exercise\u00a03<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"
\n
\n

[latex]{\\mathrm{\\Delta}h}_{ab}[\/latex]\u00a0=\u00a02\u00a0[latex]m[\/latex]<\/p>\n<\/div>\n

\n

[latex]{\\mathrm{\\Delta}l}_{ab}[\/latex]\u00a0=\u00a05\u00a0m<\/p>\n<\/div>\n

\n

Vertical gradient (a-b)\u00a0=\u00a0[latex]\\frac{2\\ m}{5\\ m}[\/latex] =\u00a00.364<\/p>\n<\/div>\n

\n

The gradient is downward.<\/p>\n<\/div>\n

\n

[latex]{\\mathrm{\\Delta}h}_{bc}[\/latex]\u00a0=\u00a01\u00a0m<\/p>\n<\/div>\n

\n

[latex]{\\mathrm{\\Delta}l}_{bc}[\/latex]\u00a0=\u00a01,500\u00a0m<\/p>\n<\/div>\n

\n

Horizontal gradient (b-c)\u00a0=\u00a01\u00a0m\/1,500\u00a0m\u00a0=\u00a00.00067<\/p>\n<\/div>\n

\n

The gradient is from left to right in Figure\u00a09<\/span><\/a>.<\/p>\n<\/div>\n

\n

Return to Exercise 3<\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n

\n

Return to where text linked to Exercise\u00a03<\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":114,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1391","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\/1391","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":2,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1391\/revisions"}],"predecessor-version":[{"id":1821,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1391\/revisions\/1821"}],"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\/1391\/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=1391"}],"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=1391"},{"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=1391"},{"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=1391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}