{"id":1664,"date":"2023-12-07T21:08:27","date_gmt":"2023-12-07T21:08:27","guid":{"rendered":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/?post_type=chapter&#038;p=1664"},"modified":"2023-12-11T15:21:15","modified_gmt":"2023-12-11T15:21:15","slug":"solution-exercise-4","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/solution-exercise-4\/","title":{"raw":"Solution Exercise 4\u200c","rendered":"Solution Exercise 4\u200c"},"content":{"raw":"<p style=\";;text-align: justify;\">The minimum principal stress (<span class=\"s23\">\u03c3<\/span><sub><span class=\"s31\">3<\/span><\/sub>) has to be the same value as <em><span class=\"s23\">T <\/span><\/em>(tensile strength of the rock) in order for extension fractures be formed. Consequently, joints are formed in the limestone when the value of <span class=\"s23\">\u03c3<\/span><sub><span class=\"s31\">3<\/span><\/sub> is equal to \u221227.5 MPa<i>, <\/i><span class=\"s28\">the <\/span>tensile strength <em><span class=\"s23\">T <\/span><\/em>of the limestone. By the same token, the value of <span class=\"s23\">\u03c3<\/span><sub><span class=\"s31\">3<\/span><\/sub> for the sandstone should be \u22126.25 MPa.<\/p>\r\n<p style=\";text-indent: 0pt; ;text-align: justify;\">The green and red Mohr circles drawn in the Mohr diagrams below represent possible stress conditions under which extension fractures are generated in the limestone and sandstone, respectively.<\/p>\r\n<p style=\"text-indent: 0pt; text-align: left;\"><img class=\" wp-image-1309 aligncenter\" src=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_141-300x100.jpg\" alt=\"\" width=\"621\" height=\"207\" \/><\/p>\r\n<p class=\"s62\" style=\"padding-left: 11pt; text-indent: 0pt; text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/2-7-highlights-on-fracture-types-and-groundwater-flow-with-opportunities-to-exercise-knowledge-gained-by-reading-sections-1-and-2\/\"><span style=\"text-decoration: underline;\"><strong>Click to return to where text linked to Exercise 4<\/strong><\/span><\/a><\/p>\r\n<p class=\"s62\" style=\";padding-left: 11pt; text-indent: 0pt; text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/exercise-2-2\/\"><span style=\"text-decoration: underline;\"><strong>Return to Exercise 4<\/strong><\/span><\/a><\/p>","rendered":"<p style=\";;text-align: justify;\">The minimum principal stress (<span class=\"s23\">\u03c3<\/span><sub><span class=\"s31\">3<\/span><\/sub>) has to be the same value as <em><span class=\"s23\">T <\/span><\/em>(tensile strength of the rock) in order for extension fractures be formed. Consequently, joints are formed in the limestone when the value of <span class=\"s23\">\u03c3<\/span><sub><span class=\"s31\">3<\/span><\/sub> is equal to \u221227.5 MPa<i>, <\/i><span class=\"s28\">the <\/span>tensile strength <em><span class=\"s23\">T <\/span><\/em>of the limestone. By the same token, the value of <span class=\"s23\">\u03c3<\/span><sub><span class=\"s31\">3<\/span><\/sub> for the sandstone should be \u22126.25 MPa.<\/p>\n<p style=\";text-indent: 0pt; ;text-align: justify;\">The green and red Mohr circles drawn in the Mohr diagrams below represent possible stress conditions under which extension fractures are generated in the limestone and sandstone, respectively.<\/p>\n<p style=\"text-indent: 0pt; text-align: left;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1309 aligncenter\" src=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_141-300x100.jpg\" alt=\"\" width=\"621\" height=\"207\" srcset=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_141-300x100.jpg 300w, https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_141-65x22.jpg 65w, https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_141-225x75.jpg 225w, https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_141-350x117.jpg 350w, https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_141.jpg 589w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/p>\n<p class=\"s62\" style=\"padding-left: 11pt; text-indent: 0pt; text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/2-7-highlights-on-fracture-types-and-groundwater-flow-with-opportunities-to-exercise-knowledge-gained-by-reading-sections-1-and-2\/\"><span style=\"text-decoration: underline;\"><strong>Click to return to where text linked to Exercise 4<\/strong><\/span><\/a><\/p>\n<p class=\"s62\" style=\";padding-left: 11pt; text-indent: 0pt; text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/exercise-2-2\/\"><span style=\"text-decoration: underline;\"><strong>Return to Exercise 4<\/strong><\/span><\/a><\/p>\n","protected":false},"author":6,"menu_order":4,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1664","chapter","type-chapter","status-publish","hentry"],"part":1650,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/pressbooks\/v2\/chapters\/1664","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":4,"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/pressbooks\/v2\/chapters\/1664\/revisions"}],"predecessor-version":[{"id":1996,"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/pressbooks\/v2\/chapters\/1664\/revisions\/1996"}],"part":[{"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/pressbooks\/v2\/parts\/1650"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/pressbooks\/v2\/chapters\/1664\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/wp\/v2\/media?parent=1664"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/pressbooks\/v2\/chapter-type?post=1664"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/wp\/v2\/contributor?post=1664"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/wp\/v2\/license?post=1664"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}