{"id":4625,"date":"2013-04-15T21:12:24","date_gmt":"2013-04-16T03:12:24","guid":{"rendered":"http:\/\/sanuja.com\/blog\/?p=4625"},"modified":"2014-10-14T20:03:25","modified_gmt":"2014-10-15T02:03:25","slug":"fault-displacement-vectors","status":"publish","type":"post","link":"https:\/\/sanuja.com\/blog\/fault-displacement-vectors","title":{"rendered":"Fault Displacement Vectors"},"content":{"rendered":"<h3>Data Collected From the Map<\/h3>\n<figure id=\"attachment_4628\" aria-describedby=\"caption-attachment-4628\" style=\"width: 561px\" class=\"wp-caption alignnone\"><img decoding=\"async\" data-attachment-id=\"4628\" data-permalink=\"https:\/\/sanuja.com\/blog\/fault-displacement-vectors\/map_large\" data-orig-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/map_large.jpg\" data-orig-size=\"561,633\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"map_large\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;A Geological map with contour lines.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/map_large-265x300.jpg\" data-large-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/map_large.jpg\" src=\"http:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/map_large.jpg\" alt=\"Bigger Map\" width=\"561\" height=\"633\" class=\"size-full wp-image-4628\" srcset=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/map_large.jpg 561w, https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/map_large-265x300.jpg 265w\" sizes=\"(max-width: 561px) 100vw, 561px\" \/><figcaption id=\"caption-attachment-4628\" class=\"wp-caption-text\">Figure 1: Original Map. Contour Interval: 20 feet; Scale: 1:4119<\/figcaption><\/figure>\n<p>Only one strike lines is drawn on the Figure 1 for the fault<!--more-->, but it is recommended to draw at least two of them to measure the dip of each feature. The line that go across point 5 (Figure 1) is the piercing  (&#8220;pin line&#8221;) obtained from the steronet (Figure 3).<\/p>\n<figure id=\"attachment_4695\" aria-describedby=\"caption-attachment-4695\" style=\"width: 470px\" class=\"wp-caption alignnone\"><img decoding=\"async\" data-attachment-id=\"4695\" data-permalink=\"https:\/\/sanuja.com\/blog\/fault-displacement-vectors\/map\" data-orig-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/map.gif\" data-orig-size=\"470,473\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"map\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Figure 2: Detailed Map&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/map.gif\" data-large-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/map.gif\" src=\"http:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/map.gif\" alt=\"Figure 2: Detailed Map\" width=\"470\" height=\"473\" class=\"size-full wp-image-4695\" \/><figcaption id=\"caption-attachment-4695\" class=\"wp-caption-text\">Figure 2: Detailed Map<\/figcaption><\/figure>\n<p>The dip of the fault is calculated using its strike lines 5500 ft and 5300 ft. It was calculated:<br \/>\n<img decoding=\"async\" data-attachment-id=\"4666\" data-permalink=\"https:\/\/sanuja.com\/blog\/fault-displacement-vectors\/po_fault_dip\" data-orig-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/po_fault_dip.gif\" data-orig-size=\"230,120\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"po_fault_dip\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/po_fault_dip.gif\" data-large-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/po_fault_dip.gif\" src=\"http:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/po_fault_dip.gif\" alt=\"po_fault_dip\" width=\"230\" height=\"120\" class=\"alignnone size-full wp-image-4666\" \/><br \/>\nThe strike is measured on the map as 269-degrees. The intersection between the bedding planes is defined as the piercing point.<br \/>\n<figure id=\"attachment_4671\" aria-describedby=\"caption-attachment-4671\" style=\"width: 300px\" class=\"wp-caption alignnone\"><img decoding=\"async\" data-attachment-id=\"4671\" data-permalink=\"https:\/\/sanuja.com\/blog\/fault-displacement-vectors\/piercing_line\" data-orig-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/piercing_line.gif\" data-orig-size=\"300,300\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"piercing_line\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Figure XX: Piercing Line of two Planes&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/piercing_line-300x300.gif\" data-large-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/piercing_line.gif\" src=\"http:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/piercing_line.gif\" alt=\"Figure XX: Piercing Line of two Planes\" width=\"300\" height=\"300\" class=\"size-full wp-image-4671\" \/><figcaption id=\"caption-attachment-4671\" class=\"wp-caption-text\">Figure 3: Piercing Line of two Planes<\/figcaption><\/figure><br \/>\nThe intersection between two plains result in a line of contact along the axis. This line is known as the piercing line.<\/p>\n<h3>Plot on the Stereonet<\/h3>\n<p>When plotting on stereonets, make sure you take the apparent dip and not the true dip.<\/p>\n<figure id=\"attachment_4652\" aria-describedby=\"caption-attachment-4652\" style=\"width: 597px\" class=\"wp-caption alignnone\"><img decoding=\"async\" data-attachment-id=\"4652\" data-permalink=\"https:\/\/sanuja.com\/blog\/fault-displacement-vectors\/fault_stereonet\" data-orig-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/fault_stereonet.gif\" data-orig-size=\"597,599\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"fault_stereonet\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Steronet to obtain the trend and plunge data&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/fault_stereonet.gif\" data-large-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/fault_stereonet.gif\" src=\"http:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/fault_stereonet.gif\" alt=\"Steronet to obtain the trend and plunge data\" width=\"597\" height=\"599\" class=\"size-full wp-image-4652\" \/><figcaption id=\"caption-attachment-4652\" class=\"wp-caption-text\">Figure 4: Steronet to obtain the trend and plunge data<\/figcaption><\/figure>\n<p>The intersection point on the Figure 4 is used for determining the trend and plunge of the piercing line. It was 183\/21 degrees. Now you can plot this on the map itself as it has been already done in Figure 1.<\/p>\n<h3>3D Fault Block<\/h3>\n<p>On the Figure 5 3D block diagram;<br \/>\nangle &alpha; = dip of the fault<br \/>\nangle &beta; = dip of the piercing line (stereonet; the trend and plunge)<br \/>\nA = net-slip: total slip of the fault<br \/>\nB = dip-slip (dip shit? no): dip of of the parallel component to the slip<br \/>\nC = strike-slip component; parallel slip component<br \/>\nD = vertical throw; vertical component of the net-slip<br \/>\nE = horizontal throw; horizontal component of the net-slip<br \/>\nF = heave; the stratigraphic apparent horizontal component of the net-slip<\/p>\n<p>Identification letters on the block is chosen as a <a href=\"http:\/\/www.naturalfractures.com\/figures\/1.1.4-01_slip_780x410.gif\" target=\"_blank\" rel=\"noopener\">compliment to this diagram (click here)<\/a>.<\/p>\n<p><figure id=\"attachment_4780\" aria-describedby=\"caption-attachment-4780\" style=\"width: 724px\" class=\"wp-caption alignnone\"><img decoding=\"async\" data-attachment-id=\"4780\" data-permalink=\"https:\/\/sanuja.com\/blog\/fault-displacement-vectors\/3dblock\" data-orig-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/3dblock.jpg\" data-orig-size=\"724,516\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"3dblock\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Figure 5: 3D block of net-slip, dip-slip, strike-slip component, vertical throw, horizontal throw, horizontal component and heave.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/3dblock-300x213.jpg\" data-large-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/3dblock.jpg\" src=\"http:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/3dblock.jpg\" alt=\"Figure 5: 3D block of net-slip, dip-slip, strike-slip component, vertical throw, horizontal throw, horizontal component and heave.\" width=\"724\" height=\"516\" class=\"size-full wp-image-4780\" srcset=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/3dblock.jpg 724w, https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/3dblock-300x213.jpg 300w\" sizes=\"(max-width: 724px) 100vw, 724px\" \/><figcaption id=\"caption-attachment-4780\" class=\"wp-caption-text\">Figure 5: 3D block of net-slip, dip-slip, strike-slip component, vertical throw, horizontal throw, horizontal component and heave.<\/figcaption><\/figure><br \/>\n<img decoding=\"async\" data-attachment-id=\"4684\" data-permalink=\"https:\/\/sanuja.com\/blog\/fault-displacement-vectors\/eq_po_heave\" data-orig-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_heave.gif\" data-orig-size=\"284,312\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"eq_po_heave\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_heave.gif\" data-large-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_heave.gif\" src=\"http:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_heave.gif\" alt=\"eq_po_heave\" width=\"284\" height=\"312\" class=\"alignnone size-full wp-image-4684\" \/><\/p>\n<p>Therefore, we get 77.47 ft for the heave (UofC answer key has 79 ft due to map errors and such) and it will translate into about 0.58 cm on the map. Using this information we can now calculate the horizontal throw.<\/p>\n<p>\n<img decoding=\"async\" data-attachment-id=\"4688\" data-permalink=\"https:\/\/sanuja.com\/blog\/fault-displacement-vectors\/eq_po_horizontal_throw\" data-orig-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_horizontal_throw.gif\" data-orig-size=\"260,144\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"eq_po_horizontal_throw\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_horizontal_throw.gif\" data-large-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_horizontal_throw.gif\" src=\"http:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_horizontal_throw.gif\" alt=\"eq_po_horizontal_throw\" width=\"260\" height=\"144\" class=\"alignnone size-full wp-image-4688\" \/><\/p>\n<p>The vertical throw and the net-slip (slip vector) can be found using;<\/p>\n<p>\n<img decoding=\"async\" data-attachment-id=\"4697\" data-permalink=\"https:\/\/sanuja.com\/blog\/fault-displacement-vectors\/eq_po_verthrow_net\" data-orig-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_verthrow_net.gif\" data-orig-size=\"245,146\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"eq_po_verthrow_net\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_verthrow_net.gif\" data-large-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_verthrow_net.gif\" src=\"http:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/eq_po_verthrow_net.gif\" alt=\"eq_po_verthrow_net\" width=\"245\" height=\"146\" class=\"alignnone size-full wp-image-4697\" \/><\/p>\n<p>Here is a 3D visualization of a faulting event.<\/p>\n<figure id=\"attachment_4782\" aria-describedby=\"caption-attachment-4782\" style=\"width: 600px\" class=\"wp-caption alignnone\"><img decoding=\"async\" data-attachment-id=\"4782\" data-permalink=\"https:\/\/sanuja.com\/blog\/fault-displacement-vectors\/fault_slip_separation\" data-orig-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/fault_slip_separation.gif\" data-orig-size=\"600,899\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"fault_slip_separation\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Figure 6: 3D Visual representation of fault slip separation.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/fault_slip_separation.gif\" data-large-file=\"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/fault_slip_separation.gif\" src=\"http:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/fault_slip_separation.gif\" alt=\"Figure 6: 3D Visual representation of fault slip separation.\" width=\"600\" height=\"899\" class=\"size-full wp-image-4782\" \/><figcaption id=\"caption-attachment-4782\" class=\"wp-caption-text\">Figure 6: 3D Visual representation of fault slip separation.<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Data Collected From the Map Only one strike lines is drawn on the Figure 1 for the fault<\/p>\n","protected":false},"author":2,"featured_media":4628,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[17],"tags":[8,23],"class_list":["post-4625","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-earth-science","tag-academic","tag-geology"],"jetpack_featured_media_url":"https:\/\/sanuja.com\/blog\/wp-content\/uploads\/2013\/04\/map_large.jpg","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/sanuja.com\/blog\/wp-json\/wp\/v2\/posts\/4625","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sanuja.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sanuja.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sanuja.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/sanuja.com\/blog\/wp-json\/wp\/v2\/comments?post=4625"}],"version-history":[{"count":0,"href":"https:\/\/sanuja.com\/blog\/wp-json\/wp\/v2\/posts\/4625\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sanuja.com\/blog\/wp-json\/wp\/v2\/media\/4628"}],"wp:attachment":[{"href":"https:\/\/sanuja.com\/blog\/wp-json\/wp\/v2\/media?parent=4625"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sanuja.com\/blog\/wp-json\/wp\/v2\/categories?post=4625"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sanuja.com\/blog\/wp-json\/wp\/v2\/tags?post=4625"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}