{"id":86,"date":"2022-07-14T00:09:33","date_gmt":"2022-07-14T00:09:33","guid":{"rendered":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/chapter\/exercise-6\/"},"modified":"2022-07-21T15:47:21","modified_gmt":"2022-07-21T15:47:21","slug":"exercise-6","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/chapter\/exercise-6\/","title":{"raw":"Exercise 6","rendered":"Exercise 6"},"content":{"raw":"<div class=\"exercise-6\">\r\n<p class=\"import-Normal\">Calculate the geometric factors, measured voltage differences and signal-to-noise ratio (SNR, the ratio of the field measured voltage difference to the noise) for a Wenner and dipole-dipole array based on the information given (fill out the table below).<\/p>\r\n<p class=\"import-Normal\">Current injected [<em class=\"import-GWPCambria\">I<\/em>]: 2\u00a0mA<\/p>\r\n<p class=\"import-Normal\">Apparent resistivity [<em class=\"import-GWPCambria\">\u03c1<\/em>]: 250\u00a0ohm-m<\/p>\r\n<p class=\"import-Normal\">Noise level: 15\u00a0mV<\/p>\r\n\r\n<table style=\"border-collapse: collapse; width: 100%;\">\r\n<tbody>\r\n<tr style=\"border-bottom: thin solid;\">\r\n<td style=\"width: 20%; text-align: left;\"><strong>Array<\/strong><\/td>\r\n<td style=\"width: 16%; text-align: center;\"><strong>a(m)<\/strong><\/td>\r\n<td style=\"width: 16%; text-align: center;\"><strong>n<\/strong><\/td>\r\n<td style=\"width: 16%; text-align: center;\"><strong><em>K<\/em><sub><em>g<\/em><\/sub><\/strong><\/td>\r\n<td style=\"width: 16%; text-align: center;\"><strong>V(mV)<\/strong><\/td>\r\n<td style=\"width: 16%; text-align: center;\"><strong>SNR<\/strong><\/td>\r\n<\/tr>\r\n<tr style=\"border-bottom: thin solid;\">\r\n<td style=\"width: 20%; text-align: left;\">Wenner<\/td>\r\n<td style=\"width: 16%; text-align: center;\">5<\/td>\r\n<td style=\"width: 16%; text-align: center;\">-<\/td>\r\n<td style=\"width: 16%; text-align: center;\"><\/td>\r\n<td style=\"width: 16%; text-align: center;\"><\/td>\r\n<td style=\"width: 16%; text-align: center;\"><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 20%; text-align: left;\">Dipole-dipole<\/td>\r\n<td style=\"width: 16%; text-align: center;\">3<\/td>\r\n<td style=\"width: 16%; text-align: center;\">3<\/td>\r\n<td style=\"width: 16%; text-align: center;\"><\/td>\r\n<td style=\"width: 16%; text-align: center;\"><\/td>\r\n<td style=\"width: 16%; text-align: center;\"><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/chapter\/solution-exercise-6\/\">Click for solution to exercise 6<\/a><\/p>\r\n\r\n<\/div>","rendered":"<div class=\"exercise-6\">\n<p class=\"import-Normal\">Calculate the geometric factors, measured voltage differences and signal-to-noise ratio (SNR, the ratio of the field measured voltage difference to the noise) for a Wenner and dipole-dipole array based on the information given (fill out the table below).<\/p>\n<p class=\"import-Normal\">Current injected [<em class=\"import-GWPCambria\">I<\/em>]: 2\u00a0mA<\/p>\n<p class=\"import-Normal\">Apparent resistivity [<em class=\"import-GWPCambria\">\u03c1<\/em>]: 250\u00a0ohm-m<\/p>\n<p class=\"import-Normal\">Noise level: 15\u00a0mV<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr style=\"border-bottom: thin solid;\">\n<td style=\"width: 20%; text-align: left;\"><strong>Array<\/strong><\/td>\n<td style=\"width: 16%; text-align: center;\"><strong>a(m)<\/strong><\/td>\n<td style=\"width: 16%; text-align: center;\"><strong>n<\/strong><\/td>\n<td style=\"width: 16%; text-align: center;\"><strong><em>K<\/em><sub><em>g<\/em><\/sub><\/strong><\/td>\n<td style=\"width: 16%; text-align: center;\"><strong>V(mV)<\/strong><\/td>\n<td style=\"width: 16%; text-align: center;\"><strong>SNR<\/strong><\/td>\n<\/tr>\n<tr style=\"border-bottom: thin solid;\">\n<td style=\"width: 20%; text-align: left;\">Wenner<\/td>\n<td style=\"width: 16%; text-align: center;\">5<\/td>\n<td style=\"width: 16%; text-align: center;\">&#8211;<\/td>\n<td style=\"width: 16%; text-align: center;\"><\/td>\n<td style=\"width: 16%; text-align: center;\"><\/td>\n<td style=\"width: 16%; text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 20%; text-align: left;\">Dipole-dipole<\/td>\n<td style=\"width: 16%; text-align: center;\">3<\/td>\n<td style=\"width: 16%; text-align: center;\">3<\/td>\n<td style=\"width: 16%; text-align: center;\"><\/td>\n<td style=\"width: 16%; text-align: center;\"><\/td>\n<td style=\"width: 16%; text-align: center;\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/chapter\/solution-exercise-6\/\">Click for solution to exercise 6<\/a><\/p>\n<\/div>\n","protected":false},"author":1,"menu_order":31,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-86","chapter","type-chapter","status-publish","hentry"],"part":143,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/pressbooks\/v2\/chapters\/86","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":5,"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/pressbooks\/v2\/chapters\/86\/revisions"}],"predecessor-version":[{"id":374,"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/pressbooks\/v2\/chapters\/86\/revisions\/374"}],"part":[{"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/pressbooks\/v2\/parts\/143"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/pressbooks\/v2\/chapters\/86\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/wp\/v2\/media?parent=86"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/pressbooks\/v2\/chapter-type?post=86"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/wp\/v2\/contributor?post=86"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/electrical-imaging-for-hydrogeology\/wp-json\/wp\/v2\/license?post=86"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}