{"id":1393,"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-5\/"},"modified":"2026-05-13T03:37:56","modified_gmt":"2026-05-13T03:37:56","slug":"solution-exercise-5","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-5\/","title":{"raw":"Solution Exercise 5","rendered":"Solution Exercise 5"},"content":{"raw":"
\r\n
    \r\n \t
  1. The horizontal gradient, i, determined in the solution to Exercise 3 (0.00067) is used with the hydraulic conductivity of 0.05 m\/s and effective porosity of 0.15 to calculate the average linear velocity between wells b and c.<\/li>\r\n<\/ol>\r\n
    \r\n\r\n[latex]v = \\frac{q}{\\varphi_{eff}} = \\frac{K\\ i}{\\varphi_{eff}} = \\frac{0.05\\frac{m}{s}\\ 0.00067}{0.15}\\frac{86,400\\ s}{1\\ day} = 19.3\\frac{m}{d}[\/latex] from left to right in Figure\u00a09<\/span><\/a>\r\n\r\n<\/div>\r\n
      \r\n \t
    1. Travel time is determined by dividing the distance to be traveled by the velocity just as is done to figure out how long it will take to drive somewhere at a set speed.<\/li>\r\n<\/ol>\r\n
      \r\n\r\n[latex]time = \\frac{distance}{v} = \\frac{1500\\ m}{19.3\\frac{m}{d}} = 78.125\\ days[\/latex]\r\n\r\n<\/div>\r\n
      \r\n\r\nReturn to Exercise 5<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n
      \r\n\r\nReturn to where text linked to Exercise\u00a05<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"
      \n
        \n
      1. The horizontal gradient, i, determined in the solution to Exercise 3 (0.00067) is used with the hydraulic conductivity of 0.05 m\/s and effective porosity of 0.15 to calculate the average linear velocity between wells b and c.<\/li>\n<\/ol>\n
        \n

        [latex]v = \\frac{q}{\\varphi_{eff}} = \\frac{K\\ i}{\\varphi_{eff}} = \\frac{0.05\\frac{m}{s}\\ 0.00067}{0.15}\\frac{86,400\\ s}{1\\ day} = 19.3\\frac{m}{d}[\/latex] from left to right in Figure\u00a09<\/span><\/a><\/p>\n<\/div>\n

          \n
        1. Travel time is determined by dividing the distance to be traveled by the velocity just as is done to figure out how long it will take to drive somewhere at a set speed.<\/li>\n<\/ol>\n
          \n

          [latex]time = \\frac{distance}{v} = \\frac{1500\\ m}{19.3\\frac{m}{d}} = 78.125\\ days[\/latex]<\/p>\n<\/div>\n

          \n

          Return to Exercise 5<\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n

          \n

          Return to where text linked to Exercise\u00a05<\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":116,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1393","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\/1393","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\/1393\/revisions"}],"predecessor-version":[{"id":1823,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1393\/revisions\/1823"}],"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\/1393\/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=1393"}],"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=1393"},{"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=1393"},{"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=1393"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}