{"id":1696,"date":"2023-12-07T22:00:09","date_gmt":"2023-12-07T22:00:09","guid":{"rendered":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/?post_type=chapter&#038;p=1696"},"modified":"2023-12-11T21:30:18","modified_gmt":"2023-12-11T21:30:18","slug":"solution-exercise-16","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/solution-exercise-16\/","title":{"raw":"Solution Exercise 16","rendered":"Solution Exercise 16"},"content":{"raw":"All the necessary information to answer the questions of this exercise can be found in <span style=\"color: #ff0000;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/2-2-terminology-types-of-fractures\/#fig-10\">Figure 10<\/a><\/span> <span style=\"color: #000000;\">,<\/span> <a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/1191\/#striae-lineation\"><span style=\"color: #000000;\">Figure <\/span><\/a><span style=\"color: #000000;\">21 and <a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/1191\/#fig-30\">Figure 30<\/a><\/span><\/span> of this book. The image below illustrates all three fracture sets in one block diagram with respect to their orientation and the stresses at the time of their generation.\r\n\r\n&nbsp;\r\n\r\n<img class=\" wp-image-1321 aligncenter\" src=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_153-300x176.png\" alt=\"\" width=\"556\" height=\"326\" \/>\r\n<p class=\"hanging-indent\">a) The parallelism of the fractures of set 1 (average orientation = N30\u201335W\/ 85NE) and the associated dikes indicate an opening propagation mode. The dikes were emplaced because of the space created by the opening mode.<\/p>\r\n<p class=\"hanging-indent\">b) Joints are perpendicular to <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">3<\/span><\/sub>, so this stress at the time the NW joints were formed must have been horizontal. This is consistent with both extensional and strike-slip regimes.<\/p>\r\n<p class=\"hanging-indent\">c) The minimum principal stress <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">3<\/span><\/sub> is horizontal and, because it has to be perpendicular to set 1, it must strike N60E on average. The available information is not enough to know whether the maximum principal stress<span class=\"s103\">, <\/span><span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">1<\/span><\/sub><span class=\"s147\">, <\/span>was either horizontal (strike-slip regime) or vertical (extensional regime).<\/p>\r\n<p class=\"hanging-indent\">d) Sets 2 and 3 form a typical conjugate pattern of the extensional regime because they have the same direction (EW) and dip around 60\u201370\u00b0 in opposite senses (set 2 dips toward south and set 3 toward north). So, sets 2 and 3 are faults that have propagated through shear.<\/p>\r\n<p class=\"hanging-indent\">e) In the extensional regime, <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">3<\/span><\/sub> is horizontal and perpendicular to the strike of the faults, which means that <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">3<\/span><\/sub> strikes NS. In addition, <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">1<\/span><\/sub> is vertical and <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">2<\/span><\/sub> is horizontal and parallel to the strike of the faults.<\/p>\r\n<p class=\"hanging-indent\">f) Fracture set 1 was formed by the opening mode. However, this alone cannot be taken as an indication of a larger present-day aperture. On the other hand, the weathering of the dikes that infill the fractures of set 1 is an indication that flow along those fractures is currently taking place. Thus, <em><span class=\"s23\">K <\/span><\/em>of set 1 is likely larger than the <em><span class=\"s23\">K <\/span><\/em>of sets 2 and 3 because the surfaces of the latter are fresh and do not show any other evidence of flow. This means that greater <i>K <\/i>can be expected along the direction N30W. As the fracture zones of set 1 are vertically persistent (&gt;80 m), the groundwater flow system may be well connected. The orientation and persistence of the three fracture sets favor connectivity. However, the spacing of set 1 fracture zones can be as large as tens of meters. The prediction of where these zones are and how they control preferential flow paths is a challenging task.<\/p>\r\n&nbsp;\r\n<p class=\"s62\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/4-5-highlights-on-groundwater-flow-along-fracture-networks-with-opportunities-to-exercise-knowledge-gained-by-reading-sections-1-through-4\/#exercise-15\"><span style=\"text-decoration: underline;\"><strong>Click to return to where text linked to Exercise 16<\/strong><\/span><\/a><\/p>\r\n<p class=\"s62\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/exercise-16\/\"><span style=\"text-decoration: underline;\"><strong>Return to Exercise 16<\/strong><\/span><\/a><\/p>","rendered":"<p>All the necessary information to answer the questions of this exercise can be found in <span style=\"color: #ff0000;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/2-2-terminology-types-of-fractures\/#fig-10\">Figure 10<\/a><\/span> <span style=\"color: #000000;\">,<\/span> <a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/1191\/#striae-lineation\"><span style=\"color: #000000;\">Figure <\/span><\/a><span style=\"color: #000000;\">21 and <a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/1191\/#fig-30\">Figure 30<\/a><\/span><\/span> of this book. The image below illustrates all three fracture sets in one block diagram with respect to their orientation and the stresses at the time of their generation.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1321 aligncenter\" src=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_153-300x176.png\" alt=\"\" width=\"556\" height=\"326\" srcset=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_153-300x176.png 300w, https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_153-65x38.png 65w, https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_153-225x132.png 225w, https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_153-350x205.png 350w, https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-content\/uploads\/sites\/35\/2023\/12\/Image_153.png 467w\" sizes=\"auto, (max-width: 556px) 100vw, 556px\" \/><\/p>\n<p class=\"hanging-indent\">a) The parallelism of the fractures of set 1 (average orientation = N30\u201335W\/ 85NE) and the associated dikes indicate an opening propagation mode. The dikes were emplaced because of the space created by the opening mode.<\/p>\n<p class=\"hanging-indent\">b) Joints are perpendicular to <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">3<\/span><\/sub>, so this stress at the time the NW joints were formed must have been horizontal. This is consistent with both extensional and strike-slip regimes.<\/p>\n<p class=\"hanging-indent\">c) The minimum principal stress <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">3<\/span><\/sub> is horizontal and, because it has to be perpendicular to set 1, it must strike N60E on average. The available information is not enough to know whether the maximum principal stress<span class=\"s103\">, <\/span><span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">1<\/span><\/sub><span class=\"s147\">, <\/span>was either horizontal (strike-slip regime) or vertical (extensional regime).<\/p>\n<p class=\"hanging-indent\">d) Sets 2 and 3 form a typical conjugate pattern of the extensional regime because they have the same direction (EW) and dip around 60\u201370\u00b0 in opposite senses (set 2 dips toward south and set 3 toward north). So, sets 2 and 3 are faults that have propagated through shear.<\/p>\n<p class=\"hanging-indent\">e) In the extensional regime, <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">3<\/span><\/sub> is horizontal and perpendicular to the strike of the faults, which means that <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">3<\/span><\/sub> strikes NS. In addition, <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">1<\/span><\/sub> is vertical and <span class=\"s23\"><em><span class=\"s23\">\u03c3<\/span><\/em><\/span><sub><span class=\"s31\">2<\/span><\/sub> is horizontal and parallel to the strike of the faults.<\/p>\n<p class=\"hanging-indent\">f) Fracture set 1 was formed by the opening mode. However, this alone cannot be taken as an indication of a larger present-day aperture. On the other hand, the weathering of the dikes that infill the fractures of set 1 is an indication that flow along those fractures is currently taking place. Thus, <em><span class=\"s23\">K <\/span><\/em>of set 1 is likely larger than the <em><span class=\"s23\">K <\/span><\/em>of sets 2 and 3 because the surfaces of the latter are fresh and do not show any other evidence of flow. This means that greater <i>K <\/i>can be expected along the direction N30W. As the fracture zones of set 1 are vertically persistent (&gt;80 m), the groundwater flow system may be well connected. The orientation and persistence of the three fracture sets favor connectivity. However, the spacing of set 1 fracture zones can be as large as tens of meters. The prediction of where these zones are and how they control preferential flow paths is a challenging task.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"s62\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/4-5-highlights-on-groundwater-flow-along-fracture-networks-with-opportunities-to-exercise-knowledge-gained-by-reading-sections-1-through-4\/#exercise-15\"><span style=\"text-decoration: underline;\"><strong>Click to return to where text linked to Exercise 16<\/strong><\/span><\/a><\/p>\n<p class=\"s62\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/chapter\/exercise-16\/\"><span style=\"text-decoration: underline;\"><strong>Return to Exercise 16<\/strong><\/span><\/a><\/p>\n","protected":false},"author":6,"menu_order":16,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1696","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\/1696","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":11,"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/pressbooks\/v2\/chapters\/1696\/revisions"}],"predecessor-version":[{"id":2180,"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/pressbooks\/v2\/chapters\/1696\/revisions\/2180"}],"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\/1696\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/wp\/v2\/media?parent=1696"}],"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=1696"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/wp\/v2\/contributor?post=1696"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/structural-geology-applied-to-fractured-aquifer-characterization\/wp-json\/wp\/v2\/license?post=1696"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}