{"id":1347,"date":"2026-05-12T21:47:37","date_gmt":"2026-05-12T21:47:37","guid":{"rendered":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-4\/"},"modified":"2026-05-13T16:47:04","modified_gmt":"2026-05-13T16:47:04","slug":"exercise-4","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-4\/","title":{"raw":"Exercise 4","rendered":"Exercise 4"},"content":{"raw":"
\r\n
\r\n\r\nPart 1: A completely saturated sample of sandstone has a bulk density of 2.61\u00a0g\/cm3<\/sup>, an effective porosity of 10\u00a0percent, and a total porosity of 12\u00a0percent.\r\n\r\n<\/div>\r\n
\r\n
Determine the density of the solid phase (i.e., the density of the mineral).<\/blockquote>\r\n<\/div>\r\n
\r\n\r\nPart 2: One cubic meter of quartz sand has a dry mass of 2,320\u00a0kg.\r\n\r\n<\/div>\r\n
    \r\n \t
  1. Calculate the porosity of the sand.<\/li>\r\n \t
  2. Calculate the mass (in kg) of the sand for the following degrees of saturation: 25\u00a0percent, 75\u00a0percent, 100\u00a0percent.<\/li>\r\n<\/ol>\r\n
    \r\n\r\nPart 3: A sample of quartz sand has a dry mass of 753.7\u00a0kg and a volume of 0.36\u00a0m3<\/sup>.\r\n\r\n<\/div>\r\n
      \r\n \t
    1. Calculate the porosity of the sand.<\/li>\r\n \t
    2. Calculate the mass (in kg) of the sand assuming a degree of saturation equal to 62\u00a0percent.<\/li>\r\n<\/ol>\r\n
      \r\n\r\nSolution for Exercise\u00a04<\/strong><\/span><\/a>\u2ba7\r\n\r\n<\/div>\r\n
      \r\n\r\nReturn to where text linked to Exercise\u00a04<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"
      \n
      \n

      Part 1: A completely saturated sample of sandstone has a bulk density of 2.61\u00a0g\/cm3<\/sup>, an effective porosity of 10\u00a0percent, and a total porosity of 12\u00a0percent.<\/p>\n<\/div>\n

      \n

      Determine the density of the solid phase (i.e., the density of the mineral).<\/p><\/blockquote>\n<\/div>\n

      \n

      Part 2: One cubic meter of quartz sand has a dry mass of 2,320\u00a0kg.<\/p>\n<\/div>\n

        \n
      1. Calculate the porosity of the sand.<\/li>\n
      2. Calculate the mass (in kg) of the sand for the following degrees of saturation: 25\u00a0percent, 75\u00a0percent, 100\u00a0percent.<\/li>\n<\/ol>\n
        \n

        Part 3: A sample of quartz sand has a dry mass of 753.7\u00a0kg and a volume of 0.36\u00a0m3<\/sup>.<\/p>\n<\/div>\n

          \n
        1. Calculate the porosity of the sand.<\/li>\n
        2. Calculate the mass (in kg) of the sand assuming a degree of saturation equal to 62\u00a0percent.<\/li>\n<\/ol>\n
          \n

          Solution for Exercise\u00a04<\/strong><\/span><\/a>\u2ba7<\/p>\n<\/div>\n

          \n

          Return to where text linked to Exercise\u00a04<\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":87,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1347","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\/1347","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\/1347\/revisions"}],"predecessor-version":[{"id":1866,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1347\/revisions\/1866"}],"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\/1347\/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=1347"}],"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=1347"},{"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=1347"},{"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=1347"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}