{"id":1316,"date":"2026-05-12T21:47:34","date_gmt":"2026-05-12T21:47:34","guid":{"rendered":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/fracture-properties\/"},"modified":"2026-05-13T03:24:38","modified_gmt":"2026-05-13T03:24:38","slug":"fracture-properties","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/fracture-properties\/","title":{"raw":"16.3 Fracture Properties","rendered":"16.3 Fracture Properties"},"content":{"raw":"<div id=\"fracture-properties\" class=\"level1\">\r\n<div id=\"orientation\" class=\"level3\">\r\n<h3>Orientation<\/h3>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nFractures are three\u2011dimensional structures that are generally assumed to be planar or close to planar. Therefore, just like any planar structure we can characterize the orientation with strike and dip, where the <em>strike<\/em> is the line created by the intersection of the fracture with the horizontal plane, and the <em>dip<\/em> is the angle of the fracture plane below the horizontal plane. We can measure these orientations in the field or on aerial photographs, and then use rose diagrams (<a href=\"#X078d2893f15a9d68f130ce6a7fbbeab6eff7ab5\"><span data-custom-style=\"Hyperlink\">Figure\u00a0126<\/span><\/a>), radial plots, or stereonets to present the distribution of these orientations.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Captioned Figure\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 3.15816in; height: 1.93438in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file128-2.png\" alt=\"\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"figcaption-text\">\r\n\r\n<span id=\"X078d2893f15a9d68f130ce6a7fbbeab6eff7ab5\" class=\"anchor\"><strong>Figure\u00a0126\u00a0\u2011\u00a0<\/strong>Sample bi\u2011directional rose diagram showing the strike direction of fracture sets in a rock formation with the length of the rose petal representing one of a variety of features such as the frequency of fractures in that set relative to all fractures in the rock, the length of the fractures in that set, the average magnitude of their dip. The numbered labels represent the 4 main fracture set directions.<\/span>\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nRose diagrams can be plotted on maps to show fracture trends and changes in orientation throughout a region. These diagrams can identify sets of fractures, which can then be related to groundwater flow directions using several methods, such as geochemical tracers.\r\n\r\n<\/div>\r\n<\/div>\r\n<div id=\"aperture\" class=\"level3\">\r\n<h3>Aperture<\/h3>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nFracture aperture is the distance between the fracture walls (<a href=\"#X3180b88a7fe571ead2b664f96585e6e4d5841d3\"><span data-custom-style=\"Hyperlink\">Figure\u00a0127<\/span><\/a>).\r\n\r\n<\/div>\r\n<div class=\"bc-figure figure\" data-custom-style=\"Captioned Figure\"><img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 3.44884in; height: 1.02581in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file129-2.jpg\" alt=\"\" \/>\r\n<div class=\"bc-figcaption figcaption\">\r\n<div data-custom-style=\"Image Caption\">\r\n<div class=\"figcaption-text\">\r\n\r\n<span id=\"X3180b88a7fe571ead2b664f96585e6e4d5841d3\" class=\"anchor\"><strong>Figure\u00a0127\u00a0\u2011\u00a0<\/strong>Fracture aperture and asperities on fracture wall.<\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nIn an idealized fracture with smooth walls and a constant aperture\u2014that is, the fracture walls are parallel to each other\u2014the hydraulic conductivity and the discharge are proportional to the aperture. However, rock fractures always have <em>asperities<\/em> that stick out from the wall of the fracture. These affect the properties of the fracture in the following ways.\r\n\r\n<\/div>\r\n<ul>\r\n \t<li>Asperities create roughness on the fracture surface. This roughness has several effects.<\/li>\r\n<\/ul>\r\n<ul>\r\n \t<li><em>Channelization<\/em> of fluid along the surface of the fracture\u2014most of the water flow only within channels on the fracture surface and not uniformly over its entire surface (<a href=\"#Xa70fb2eefdc6c3a5a8557f2b94c094ee7f3b5c4\"><span data-custom-style=\"Hyperlink\">Figure\u00a0128<\/span><\/a>).<\/li>\r\n \t<li><em>Tortuosity (<\/em>\ud835\udf0f<em>)<\/em>\u2014defined as the distance water travels divided by the straight\u2011line distance between two points, the more numerous the asperities and the larger their amplitude, the more tortuous the flow path, thus water must travel farther \u2014this is sometimes defined as the reciprocal (<a href=\"#Xb5e0e108b0a6fc2005f866274080b218c22ef73\"><span data-custom-style=\"Hyperlink\">Figure\u00a0129<\/span><\/a>).<\/li>\r\n<\/ul>\r\n<div data-custom-style=\"Captioned Figure\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.22826in; height: 1.86in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file130-2.png\" alt=\"\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"figcaption-text\">\r\n\r\n<span id=\"Xa70fb2eefdc6c3a5a8557f2b94c094ee7f3b5c4\" class=\"anchor\"><strong>Figure\u00a0128\u00a0\u2011\u00a0<\/strong>Plan view of a fracture surface: a) without asperities; and b) with channeling of flow along the surface of a fracture around asperities.<\/span>\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<div data-custom-style=\"Captioned Figure\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.22028in; height: 1.89in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file131-2.png\" alt=\"\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"figcaption-text\">\r\n\r\n<span id=\"Xb5e0e108b0a6fc2005f866274080b218c22ef73\" class=\"anchor\"><strong>Figure\u00a0129\u00a0\u2011\u00a0<\/strong>Cross sectional view of a fracture plane a) without asperities; and b) with asperities causing tortuous flow along the fracture.<\/span>\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<ul>\r\n \t<li>Friction associated with surface roughness impedes the flow of fluids. Friction also affects the geotechnical properties of the fracture\u2014higher roughness means that the fracture is less likely to fail or activate in response to changes in stress.<\/li>\r\n \t<li>In the subsurface, where the fracture is under compressive stress, the asperities hold the fracture open.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<div id=\"length-width-and-depth\" class=\"level3\">\r\n<h3>Length, Width, and Depth<\/h3>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nFractures are three\u2011dimensional structures that, in addition to aperture, have a length and a width. An idealized fracture in the subsurface, which does not intersect the surface, will generally have an irregular elliptical shape with an aperture that is maximum near the middle and tapers off to the edges (<a href=\"#Xfbfac8e463f38d432eb563d01a6c3eb42a3e551\"><span data-custom-style=\"Hyperlink\">Figure\u00a0130<\/span><\/a>).\r\n\r\n<\/div>\r\n<div class=\"bc-figure figure\" data-custom-style=\"Captioned Figure\"><img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 3.5in; height: 1.90264in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file132-2.png\" alt=\"\" \/>\r\n<div class=\"bc-figcaption figcaption\">\r\n<div data-custom-style=\"Image Caption\">\r\n<div class=\"figcaption-text\">\r\n\r\n<span id=\"Xfbfac8e463f38d432eb563d01a6c3eb42a3e551\" class=\"anchor\"><strong>Figure\u00a0130\u00a0\u2011\u00a0<\/strong>General fracture geometry.<\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nWhen we talk about length and width, we are generally talking about the dimension that is exposed at the Earth\u2019s surface\u2014either at an outcrop or identified from an aerial photo. In outcrop, we frequently cannot see the ends of the fracture\u2014it either terminates at the top of the outcrop or it terminates somewhere underground, or both. Length is generally used to describe the exposed length of a vertical fracture in an outcrop; width is often used to describe horizontal fractures. Depth refers to the distance that the fracture goes into the outcrop. This can sometimes be measured or observed using geophysical methods\u2014ground penetrating radar, shallow seismic, electromagnetic\u2014or using boring logs. However, geophysical methods are limited because they do not quantify whether the fracture is open (i.e., able to support flow) or filled and sealed.\r\n\r\n<\/div>\r\n<\/div>\r\n<div id=\"spacing-and-density\" class=\"level3\">\r\n<h3>Spacing and Density<\/h3>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nA given volume of rock will generally not have only a single fracture in it; rather, there will be several fractures, and some of those fractures will have similar orientations due to the fact that they were formed by the same stresses. The <em>spacing<\/em> of the fractures refers to the distance from one fracture to the next; the <em>density<\/em> of fractures refers to the number of fractures in a unit volume of rock.\r\n\r\n<\/div>\r\n<ul>\r\n \t<li>Spacing is measured by running a scanline or traverse across an exposed rock face and measuring the distance between the points where the fractures intersect the scanline.<\/li>\r\n \t<li>Density is measured by adding up the lengths of all the fractures in a volume or area of rock and dividing the total length by the volume, or area. We frequently use area because these studies are often two\u2011dimensional outcrop studies\u2014that is, on the surface\u2014rather than three\u2011dimensional subsurface studies.<\/li>\r\n<\/ul>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nSpacing and density seem to be related to the aperture. Studies have indicated that, in specific rocks, there are direct relationships between fracture spacing and aperture\u2014that is, smaller apertures tend to be more closely spaced, and vice versa. This relationship seems to hold across several scales\u2014from thin section to outcrop to air photo\u2014and if it holds true it could have a major impact on the way we model fractured systems.\r\n\r\n<\/div>\r\n<\/div>\r\n<div id=\"connectivity\" class=\"level3\">\r\n<h3>Connectivity<\/h3>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nFractures are only effective as conduits for fluid flow if they are connected to each other. This is especially true in purely fractured or fractured formation systems. Fracture connectivity can be evaluated by observing fracture terminations and plotting the results on ternary diagrams. There are four basic types of fracture terminations (<a href=\"#Xbbc52a5a0d0f3a21cb86e3006d82851ec4cbac7\"><span data-custom-style=\"Hyperlink\">Figure\u00a0131<\/span><\/a>a).\r\n\r\n<\/div>\r\n<ul>\r\n \t<li><em>Abutting<\/em> (A)\u2014the fracture ends in the middle of another fracture.<\/li>\r\n \t<li><em>Blind<\/em> (B)\u2014the fracture ends in the middle of the rock.<\/li>\r\n \t<li><em>Crossing<\/em> (C)\u2014the fracture crosses another fracture.<\/li>\r\n \t<li><em>Diffuse<\/em> (D)\u2014the fracture ends in a diffuse set of smaller fractures.<\/li>\r\n<\/ul>\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe number of each type of fracture termination can be counted in outcrop and plotted on a ternary diagram. Since there are four categories, and only three endmembers on a ternary diagram, two of the categories must be grouped. There are two different ways of plotting; the Barton and Hsieh (1989) method (<a href=\"#Xbbc52a5a0d0f3a21cb86e3006d82851ec4cbac7\"><span data-custom-style=\"Hyperlink\">Figure\u00a0131<\/span><\/a>b) and the Laubach (1992) method (<a href=\"#Xbbc52a5a0d0f3a21cb86e3006d82851ec4cbac7\"><span data-custom-style=\"Hyperlink\">Figure\u00a0131<\/span><\/a>c). In the Barton and Hsieh method, blind and diffuse terminations are lumped together. In the Laubach method, the abutting and crossing terminations are lumped together as <em>connected<\/em>. <span id=\"extext27\" class=\"anchor\"><a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-27\/#exercise-27\"><span data-custom-style=\"Hyperlink\">Exercise 27<\/span><\/a>\u2ba7 demonstrates one way that ternary diagrams of fracture termination can be applied.<\/span>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Captioned Figure\">\r\n\r\n<img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 3.97778in; height: 3.6716in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file133-2.png\" alt=\"\" \/>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>\r\n<div class=\"figcaption-text\">\r\n\r\n<span id=\"Xbbc52a5a0d0f3a21cb86e3006d82851ec4cbac7\" class=\"anchor\"><strong>Figure\u00a0131\u00a0\u2011\u00a0<\/strong>Fracture terminations. a) Type of termination: A=abutting; B=blind; C=crossing; D=diffuse (from Laubach, 1992). Ternary diagrams for displaying the number of different fracture types: b) as proposed by Barton and Hsieh (1989); and c) as proposed by Laubach (1992).<\/span>\r\n\r\n<\/div><\/blockquote>\r\n<\/div>\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"fracture-properties\" class=\"level1\">\n<div id=\"orientation\" class=\"level3\">\n<h3>Orientation<\/h3>\n<div data-custom-style=\"First Paragraph\">\n<p>Fractures are three\u2011dimensional structures that are generally assumed to be planar or close to planar. Therefore, just like any planar structure we can characterize the orientation with strike and dip, where the <em>strike<\/em> is the line created by the intersection of the fracture with the horizontal plane, and the <em>dip<\/em> is the angle of the fracture plane below the horizontal plane. We can measure these orientations in the field or on aerial photographs, and then use rose diagrams (<a href=\"#X078d2893f15a9d68f130ce6a7fbbeab6eff7ab5\"><span data-custom-style=\"Hyperlink\">Figure\u00a0126<\/span><\/a>), radial plots, or stereonets to present the distribution of these orientations.<\/p>\n<\/div>\n<div data-custom-style=\"Captioned Figure\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 3.15816in; height: 1.93438in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file128-2.png\" alt=\"\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"figcaption-text\">\n<p><span id=\"X078d2893f15a9d68f130ce6a7fbbeab6eff7ab5\" class=\"anchor\"><strong>Figure\u00a0126\u00a0\u2011\u00a0<\/strong>Sample bi\u2011directional rose diagram showing the strike direction of fracture sets in a rock formation with the length of the rose petal representing one of a variety of features such as the frequency of fractures in that set relative to all fractures in the rock, the length of the fractures in that set, the average magnitude of their dip. The numbered labels represent the 4 main fracture set directions.<\/span><\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<div data-custom-style=\"First Paragraph\">\n<p>Rose diagrams can be plotted on maps to show fracture trends and changes in orientation throughout a region. These diagrams can identify sets of fractures, which can then be related to groundwater flow directions using several methods, such as geochemical tracers.<\/p>\n<\/div>\n<\/div>\n<div id=\"aperture\" class=\"level3\">\n<h3>Aperture<\/h3>\n<div data-custom-style=\"First Paragraph\">\n<p>Fracture aperture is the distance between the fracture walls (<a href=\"#X3180b88a7fe571ead2b664f96585e6e4d5841d3\"><span data-custom-style=\"Hyperlink\">Figure\u00a0127<\/span><\/a>).<\/p>\n<\/div>\n<div class=\"bc-figure figure\" data-custom-style=\"Captioned Figure\"><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 3.44884in; height: 1.02581in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file129-2.jpg\" alt=\"\" \/><\/p>\n<div class=\"bc-figcaption figcaption\">\n<div data-custom-style=\"Image Caption\">\n<div class=\"figcaption-text\">\n<p><span id=\"X3180b88a7fe571ead2b664f96585e6e4d5841d3\" class=\"anchor\"><strong>Figure\u00a0127\u00a0\u2011\u00a0<\/strong>Fracture aperture and asperities on fracture wall.<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>In an idealized fracture with smooth walls and a constant aperture\u2014that is, the fracture walls are parallel to each other\u2014the hydraulic conductivity and the discharge are proportional to the aperture. However, rock fractures always have <em>asperities<\/em> that stick out from the wall of the fracture. These affect the properties of the fracture in the following ways.<\/p>\n<\/div>\n<ul>\n<li>Asperities create roughness on the fracture surface. This roughness has several effects.<\/li>\n<\/ul>\n<ul>\n<li><em>Channelization<\/em> of fluid along the surface of the fracture\u2014most of the water flow only within channels on the fracture surface and not uniformly over its entire surface (<a href=\"#Xa70fb2eefdc6c3a5a8557f2b94c094ee7f3b5c4\"><span data-custom-style=\"Hyperlink\">Figure\u00a0128<\/span><\/a>).<\/li>\n<li><em>Tortuosity (<\/em>\ud835\udf0f<em>)<\/em>\u2014defined as the distance water travels divided by the straight\u2011line distance between two points, the more numerous the asperities and the larger their amplitude, the more tortuous the flow path, thus water must travel farther \u2014this is sometimes defined as the reciprocal (<a href=\"#Xb5e0e108b0a6fc2005f866274080b218c22ef73\"><span data-custom-style=\"Hyperlink\">Figure\u00a0129<\/span><\/a>).<\/li>\n<\/ul>\n<div data-custom-style=\"Captioned Figure\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.22826in; height: 1.86in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file130-2.png\" alt=\"\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"figcaption-text\">\n<p><span id=\"Xa70fb2eefdc6c3a5a8557f2b94c094ee7f3b5c4\" class=\"anchor\"><strong>Figure\u00a0128\u00a0\u2011\u00a0<\/strong>Plan view of a fracture surface: a) without asperities; and b) with channeling of flow along the surface of a fracture around asperities.<\/span><\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<div data-custom-style=\"Captioned Figure\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 4.22028in; height: 1.89in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file131-2.png\" alt=\"\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"figcaption-text\">\n<p><span id=\"Xb5e0e108b0a6fc2005f866274080b218c22ef73\" class=\"anchor\"><strong>Figure\u00a0129\u00a0\u2011\u00a0<\/strong>Cross sectional view of a fracture plane a) without asperities; and b) with asperities causing tortuous flow along the fracture.<\/span><\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<ul>\n<li>Friction associated with surface roughness impedes the flow of fluids. Friction also affects the geotechnical properties of the fracture\u2014higher roughness means that the fracture is less likely to fail or activate in response to changes in stress.<\/li>\n<li>In the subsurface, where the fracture is under compressive stress, the asperities hold the fracture open.<\/li>\n<\/ul>\n<\/div>\n<div id=\"length-width-and-depth\" class=\"level3\">\n<h3>Length, Width, and Depth<\/h3>\n<div data-custom-style=\"First Paragraph\">\n<p>Fractures are three\u2011dimensional structures that, in addition to aperture, have a length and a width. An idealized fracture in the subsurface, which does not intersect the surface, will generally have an irregular elliptical shape with an aperture that is maximum near the middle and tapers off to the edges (<a href=\"#Xfbfac8e463f38d432eb563d01a6c3eb42a3e551\"><span data-custom-style=\"Hyperlink\">Figure\u00a0130<\/span><\/a>).<\/p>\n<\/div>\n<div class=\"bc-figure figure\" data-custom-style=\"Captioned Figure\"><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 3.5in; height: 1.90264in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file132-2.png\" alt=\"\" \/><\/p>\n<div class=\"bc-figcaption figcaption\">\n<div data-custom-style=\"Image Caption\">\n<div class=\"figcaption-text\">\n<p><span id=\"Xfbfac8e463f38d432eb563d01a6c3eb42a3e551\" class=\"anchor\"><strong>Figure\u00a0130\u00a0\u2011\u00a0<\/strong>General fracture geometry.<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>When we talk about length and width, we are generally talking about the dimension that is exposed at the Earth\u2019s surface\u2014either at an outcrop or identified from an aerial photo. In outcrop, we frequently cannot see the ends of the fracture\u2014it either terminates at the top of the outcrop or it terminates somewhere underground, or both. Length is generally used to describe the exposed length of a vertical fracture in an outcrop; width is often used to describe horizontal fractures. Depth refers to the distance that the fracture goes into the outcrop. This can sometimes be measured or observed using geophysical methods\u2014ground penetrating radar, shallow seismic, electromagnetic\u2014or using boring logs. However, geophysical methods are limited because they do not quantify whether the fracture is open (i.e., able to support flow) or filled and sealed.<\/p>\n<\/div>\n<\/div>\n<div id=\"spacing-and-density\" class=\"level3\">\n<h3>Spacing and Density<\/h3>\n<div data-custom-style=\"First Paragraph\">\n<p>A given volume of rock will generally not have only a single fracture in it; rather, there will be several fractures, and some of those fractures will have similar orientations due to the fact that they were formed by the same stresses. The <em>spacing<\/em> of the fractures refers to the distance from one fracture to the next; the <em>density<\/em> of fractures refers to the number of fractures in a unit volume of rock.<\/p>\n<\/div>\n<ul>\n<li>Spacing is measured by running a scanline or traverse across an exposed rock face and measuring the distance between the points where the fractures intersect the scanline.<\/li>\n<li>Density is measured by adding up the lengths of all the fractures in a volume or area of rock and dividing the total length by the volume, or area. We frequently use area because these studies are often two\u2011dimensional outcrop studies\u2014that is, on the surface\u2014rather than three\u2011dimensional subsurface studies.<\/li>\n<\/ul>\n<div data-custom-style=\"First Paragraph\">\n<p>Spacing and density seem to be related to the aperture. Studies have indicated that, in specific rocks, there are direct relationships between fracture spacing and aperture\u2014that is, smaller apertures tend to be more closely spaced, and vice versa. This relationship seems to hold across several scales\u2014from thin section to outcrop to air photo\u2014and if it holds true it could have a major impact on the way we model fractured systems.<\/p>\n<\/div>\n<\/div>\n<div id=\"connectivity\" class=\"level3\">\n<h3>Connectivity<\/h3>\n<div data-custom-style=\"First Paragraph\">\n<p>Fractures are only effective as conduits for fluid flow if they are connected to each other. This is especially true in purely fractured or fractured formation systems. Fracture connectivity can be evaluated by observing fracture terminations and plotting the results on ternary diagrams. There are four basic types of fracture terminations (<a href=\"#Xbbc52a5a0d0f3a21cb86e3006d82851ec4cbac7\"><span data-custom-style=\"Hyperlink\">Figure\u00a0131<\/span><\/a>a).<\/p>\n<\/div>\n<ul>\n<li><em>Abutting<\/em> (A)\u2014the fracture ends in the middle of another fracture.<\/li>\n<li><em>Blind<\/em> (B)\u2014the fracture ends in the middle of the rock.<\/li>\n<li><em>Crossing<\/em> (C)\u2014the fracture crosses another fracture.<\/li>\n<li><em>Diffuse<\/em> (D)\u2014the fracture ends in a diffuse set of smaller fractures.<\/li>\n<\/ul>\n<div data-custom-style=\"First Paragraph\">\n<p>The number of each type of fracture termination can be counted in outcrop and plotted on a ternary diagram. Since there are four categories, and only three endmembers on a ternary diagram, two of the categories must be grouped. There are two different ways of plotting; the Barton and Hsieh (1989) method (<a href=\"#Xbbc52a5a0d0f3a21cb86e3006d82851ec4cbac7\"><span data-custom-style=\"Hyperlink\">Figure\u00a0131<\/span><\/a>b) and the Laubach (1992) method (<a href=\"#Xbbc52a5a0d0f3a21cb86e3006d82851ec4cbac7\"><span data-custom-style=\"Hyperlink\">Figure\u00a0131<\/span><\/a>c). In the Barton and Hsieh method, blind and diffuse terminations are lumped together. In the Laubach method, the abutting and crossing terminations are lumped together as <em>connected<\/em>. <span id=\"extext27\" class=\"anchor\"><a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-27\/#exercise-27\"><span data-custom-style=\"Hyperlink\">Exercise 27<\/span><\/a>\u2ba7 demonstrates one way that ternary diagrams of fracture termination can be applied.<\/span><\/p>\n<\/div>\n<div data-custom-style=\"Captioned Figure\">\n<p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 3.97778in; height: 3.6716in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file133-2.png\" alt=\"\" \/><\/p>\n<\/div>\n<div data-custom-style=\"Block Text\">\n<blockquote>\n<div class=\"figcaption-text\">\n<p><span id=\"Xbbc52a5a0d0f3a21cb86e3006d82851ec4cbac7\" class=\"anchor\"><strong>Figure\u00a0131\u00a0\u2011\u00a0<\/strong>Fracture terminations. a) Type of termination: A=abutting; B=blind; C=crossing; D=diffuse (from Laubach, 1992). Ternary diagrams for displaying the number of different fracture types: b) as proposed by Barton and Hsieh (1989); and c) as proposed by Laubach (1992).<\/span><\/p>\n<\/div>\n<\/blockquote>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":70,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1316","chapter","type-chapter","status-publish","hentry"],"part":1512,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1316","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":2,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1316\/revisions"}],"predecessor-version":[{"id":1775,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1316\/revisions\/1775"}],"part":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/parts\/1512"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1316\/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=1316"}],"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=1316"},{"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=1316"},{"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=1316"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}