{"id":92187,"date":"2026-04-19T18:00:49","date_gmt":"2026-04-19T18:00:49","guid":{"rendered":"https:\/\/gaeatech.com\/knowledge-center\/?p=92187"},"modified":"2026-04-13T23:36:49","modified_gmt":"2026-04-13T23:36:49","slug":"pollutev10-example-6-fractured-till-sorption","status":"publish","type":"post","link":"https:\/\/gaeatech.com\/knowledge-center\/pollutev10-example-6-fractured-till-sorption\/","title":{"rendered":"POLLUTEv10 Example 6: Fractured Layer with Sorption and Reactive Transport"},"content":{"rendered":"\n<p>This example demonstrates the application of <strong>POLLUTEv10<\/strong> for a more complex subsurface condition where <strong>fractured media<\/strong> and <strong>sorption processes<\/strong> both influence contaminant transport. It builds on previous cases by introducing a <strong>fractured till layer<\/strong> beneath a compacted clay liner and modeling a <strong>reactive contaminant species<\/strong> that sorbs to soil particles.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-conceptual-model-overview\">Conceptual Model Overview<\/h2>\n\n\n\n<p>The system consists of:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>1 m compacted clay liner<\/strong> (low permeability, sorptive)<\/li>\n\n\n\n<li>A <strong>3 m fractured till layer<\/strong> (preferential flow pathways via fractures)<\/li>\n\n\n\n<li>An underlying <strong>aquifer with controlled inflow\/outflow<\/strong><\/li>\n\n\n\n<li>A <strong>finite contaminant source<\/strong> with a leachate collection system<\/li>\n<\/ul>\n\n\n\n<p>Unlike homogeneous systems, this model accounts for:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Dual-domain transport<\/strong> (fractures + matrix)<\/li>\n\n\n\n<li><strong>Sorption in both clay liner and matrix<\/strong><\/li>\n\n\n\n<li><strong>Advection and dispersion in fractures<\/strong><\/li>\n\n\n\n<li><strong>Diffusion between fractures and matrix<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-hydraulic-conditions-and-flow-calculations\">Hydraulic Conditions and Flow Calculations<\/h2>\n\n\n\n<p>The governing hydraulic parameters are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Darcy velocity through the deposit:<br><strong>va = 0.02 m\/a<\/strong><\/li>\n\n\n\n<li>Infiltration through the cover:<br><strong>qo = 0.3 m\/a<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-leachate-collection-rate\">Leachate Collection Rate<\/h3>\n\n\n\n<p>The volume of leachate collected (<strong>Qc<\/strong>) is calculated as:<\/p>\n\n\n\n<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>Q<\/mi><mi>c<\/mi><mo>=<\/mo><mi>q<\/mi><mi>o<\/mi><mo>\u2212<\/mo><mi>v<\/mi><mi>a<\/mi><mo>=<\/mo><mn>0.3<\/mn><mo>\u2212<\/mo><mn>0.02<\/mn><mo>=<\/mo><mn>0.28<\/mn><mtext>\u2009<\/mtext><mtext>m\/a<\/mtext><\/mrow><annotation encoding=\"application\/x-tex\">Qc = qo &#8211; va = 0.3 &#8211; 0.02 = 0.28 \\, \\text{m\/a}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p>This indicates that most infiltrating water is captured by the leachate collection system, limiting downward contaminant migration.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-aquifer-flow-conditions\">Aquifer Flow Conditions<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Upgradient inflow: <strong>4 m\/a<\/strong><\/li>\n\n\n\n<li>Landfill length: <strong>200 m<\/strong><\/li>\n<\/ul>\n\n\n\n<p>The downgradient outflow velocity (<strong>vb<\/strong>) is:<\/p>\n\n\n\n<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\"><semantics><mrow><mi>v<\/mi><mi>b<\/mi><mo>=<\/mo><mn>4<\/mn><mo>+<\/mo><mo stretchy=\"false\">(<\/mo><mn>200<\/mn><mo>\u00d7<\/mo><mn>0.02<\/mn><mo stretchy=\"false\">)<\/mo><mo>=<\/mo><mn>8<\/mn><mtext>\u2009<\/mtext><mtext>m\/a<\/mtext><\/mrow><annotation encoding=\"application\/x-tex\">vb = 4 + (200 \\times 0.02) = 8 \\, \\text{m\/a}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n<p>This reflects the cumulative contribution of vertical seepage across the landfill footprint.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-key-input-parameters\">Key Input Parameters<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-soil-and-transport-properties\">Soil and Transport Properties<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>Property<\/th><th>Symbol<\/th><th>Value<\/th><th>Units<\/th><\/tr><\/thead><tbody><tr><td>Darcy Velocity<\/td><td>va<\/td><td>0.02<\/td><td>m\/a<\/td><\/tr><tr><td>Diffusion Coefficient<\/td><td>D<\/td><td>0.01<\/td><td>m\u00b2\/a<\/td><\/tr><tr><td>Distribution Coefficient<\/td><td>Kd<\/td><td>1.5<\/td><td>cm\u00b3\/g<\/td><\/tr><tr><td>Soil Porosity<\/td><td>n<\/td><td>0.4<\/td><td>&#8211;<\/td><\/tr><tr><td>Dry Density<\/td><td>\u03c1d<\/td><td>2<\/td><td>g\/cm\u00b3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-layer-configuration\">Layer Configuration<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>Layer<\/th><th>Thickness<\/th><th>Sub-layers<\/th><\/tr><\/thead><tbody><tr><td>Clay Liner (HL)<\/td><td>1 m<\/td><td>1<\/td><\/tr><tr><td>Fractured Till (HT)<\/td><td>3 m<\/td><td>1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-fracture-properties\">Fracture Properties<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>Property<\/th><th>Value<\/th><\/tr><\/thead><tbody><tr><td>Fracture spacing (x, y)<\/td><td>1 m<\/td><\/tr><tr><td>Fracture aperture<\/td><td>10 \u03bcm<\/td><\/tr><tr><td>Dispersion in fractures (Df)<\/td><td>0.06 m\u00b2\/a<\/td><\/tr><tr><td>Fracture sorption (Kf)<\/td><td>0 cm\u00b3\/g<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-matrix-properties-till\">Matrix Properties (Till)<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>Property<\/th><th>Value<\/th><\/tr><\/thead><tbody><tr><td>Diffusion coefficient (Dm)<\/td><td>0.01 m\u00b2\/a<\/td><\/tr><tr><td>Distribution coefficient (Km)<\/td><td>1.5 cm\u00b3\/g<\/td><\/tr><tr><td>Porosity (nm)<\/td><td>0.4<\/td><\/tr><tr><td>Dry density<\/td><td>2 g\/cm\u00b3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-source-and-boundary-conditions\">Source and Boundary Conditions<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>Property<\/th><th>Value<\/th><\/tr><\/thead><tbody><tr><td>Source concentration (co)<\/td><td>1000 mg\/L<\/td><\/tr><tr><td>Rate of increase (cr)<\/td><td>0 mg\/L\/a<\/td><\/tr><tr><td>Leachate head (Hr)<\/td><td>7.5 m<\/td><\/tr><tr><td>Leachate collection (Qc)<\/td><td>0.28 m\/a<\/td><\/tr><tr><td>Aquifer thickness (h)<\/td><td>1 m<\/td><\/tr><tr><td>Aquifer porosity (nb)<\/td><td>0.35<\/td><\/tr><tr><td>Base outflow velocity (vb)<\/td><td>8 m\/a<\/td><\/tr><tr><td>Time range<\/td><td>20\u2013300 years<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-key-processes-simulated\">Key Processes Simulated<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-1-fracture-flow-dominance\">1. Fracture Flow Dominance<\/h3>\n\n\n\n<p>The fractured till introduces <strong>preferential pathways<\/strong>, allowing faster contaminant migration compared to the clay liner. However, this is moderated by:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Narrow fracture apertures (10 \u03bcm)<\/li>\n\n\n\n<li>Diffusion into the surrounding matrix<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-2-sorption-effects\">2. Sorption Effects<\/h3>\n\n\n\n<p>The contaminant is <strong>reactive<\/strong>, meaning:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>It sorbs onto <strong>clay liner material<\/strong><\/li>\n\n\n\n<li>It also sorbs within the <strong>till matrix<\/strong><\/li>\n\n\n\n<li>No sorption occurs within fractures (Kf = 0)<\/li>\n<\/ul>\n\n\n\n<p>This leads to:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Retardation of plume movement<\/strong><\/li>\n\n\n\n<li>Reduced peak concentrations<\/li>\n\n\n\n<li>Increased long-term tailing<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-3-matrix-diffusion\">3. Matrix Diffusion<\/h3>\n\n\n\n<p>Contaminants move from fractures into the porous matrix via diffusion:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Acts as a <strong>temporary storage mechanism<\/strong><\/li>\n\n\n\n<li>Slows breakthrough in the aquifer<\/li>\n\n\n\n<li>Causes <strong>back-diffusion<\/strong> at later times<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-graphical-output-depth-vs-concentration\">Graphical Output: Depth vs Concentration<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1007\" height=\"910\" src=\"https:\/\/gaeatech.com\/knowledge-center\/wp-content\/uploads\/2026\/04\/image-17.jpg\" alt=\"\" class=\"wp-image-92189\" srcset=\"https:\/\/gaeatech.com\/knowledge-center\/wp-content\/uploads\/2026\/04\/image-17.jpg 1007w, https:\/\/gaeatech.com\/knowledge-center\/wp-content\/uploads\/2026\/04\/image-17-300x271.jpg 300w, https:\/\/gaeatech.com\/knowledge-center\/wp-content\/uploads\/2026\/04\/image-17-768x694.jpg 768w\" sizes=\"auto, (max-width: 1007px) 100vw, 1007px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-pdf-report\">PDF Report<\/h2>\n\n\n<div class=\"ead-preview\"><div class=\"ead-document\" style=\"position: relative;padding-top: 90%\"><div class=\"ead-iframe-wrapper\"><iframe src=\"\/\/docs.google.com\/viewer?url=https%3A%2F%2Fgaeatech.com%2Fknowledge-center%2Fwp-content%2Fuploads%2F2026%2F04%2Fpollute-example6.pdf&amp;embedded=true&amp;hl=en\" title=\"Embedded Document\" class=\"ead-iframe\" style=\"width: 100%;height: 100%;border: none;position: absolute;left: 0;top: 0;visibility: hidden;\"><\/iframe><\/div>\t\t\t<div class=\"ead-document-loading\" style=\"width:100%;height:100%;position:absolute;left:0;top:0;z-index:10\">\n\t\t\t\t<div class=\"ead-loading-wrap\">\n\t\t\t\t\t<div class=\"ead-loading-main\">\n\t\t\t\t\t\t<div class=\"ead-loading\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gaeatech.com\/knowledge-center\/wp-content\/plugins\/embed-any-document\/images\/loading.svg\" width=\"55\" height=\"55\" alt=\"Loader\">\n\t\t\t\t\t\t\t<span>Loading&#8230;<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div class=\"ead-loading-foot\">\n\t\t\t\t\t\t<div class=\"ead-loading-foot-title\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gaeatech.com\/knowledge-center\/wp-content\/plugins\/embed-any-document\/images\/EAD-logo.svg\" alt=\"EAD Logo\" width=\"36\" height=\"23\"\/>\n\t\t\t\t\t\t\t<span>Taking too long?<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<p>\n\t\t\t\t\t\t\t<div class=\"ead-document-btn ead-reload-btn\" role=\"button\">\n\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gaeatech.com\/knowledge-center\/wp-content\/plugins\/embed-any-document\/images\/reload.svg\" alt=\"Reload\" width=\"12\" height=\"12\"\/> Reload document\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<span>|<\/span>\n\t\t\t\t\t\t\t<a href=\"https:\/\/gaeatech.com\/knowledge-center\/wp-content\/uploads\/2026\/04\/pollute-example6.pdf\" class=\"ead-document-btn\" target=\"_blank\">\n\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/gaeatech.com\/knowledge-center\/wp-content\/plugins\/embed-any-document\/images\/open.svg\" alt=\"Open\" width=\"12\" height=\"12\"\/> Open in new tab\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div><\/div>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-interpretation-of-results\">Interpretation of Results<\/h2>\n\n\n\n<p>This scenario typically produces:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Delayed breakthrough<\/strong> compared to non-reactive cases<\/li>\n\n\n\n<li><strong>Lower peak concentrations<\/strong> due to sorption<\/li>\n\n\n\n<li><strong>Extended contaminant persistence<\/strong> due to matrix diffusion<\/li>\n<\/ul>\n\n\n\n<p>The fractured till increases transport speed locally, but the <strong>combined effects of sorption and matrix diffusion<\/strong> significantly mitigate overall contaminant migration.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-engineering-insights\">Engineering Insights<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Even with fractures, <strong>clay liners remain highly effective<\/strong> when sorption is significant.<\/li>\n\n\n\n<li><strong>Leachate collection systems<\/strong> (Qc = 0.28 m\/a) play a critical role in reducing contaminant flux.<\/li>\n\n\n\n<li>Ignoring <strong>matrix diffusion<\/strong> in fractured systems can <strong>underestimate long-term impacts<\/strong>.<\/li>\n\n\n\n<li>Reactive transport modeling is essential for <strong>realistic risk assessment<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n","protected":false},"excerpt":{"rendered":"<p>This example demonstrates the application of POLLUTEv10 for a more complex subsurface condition where fractured media and sorption processes both influence contaminant transport. It builds on previous cases by introducing a fractured till layer beneath a compacted clay liner and modeling a reactive contaminant species that sorbs to soil particles. Conceptual Model Overview The system [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":92191,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[858,1632],"tags":[1649,1629,501,1647,24,1645,1646,469,821,34,1643,1648,1627,1644,553],"class_list":["post-92187","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-contaminant-transport-modeling","category-pollute-examples","tag-aquifer-modeling","tag-clay-liner","tag-contaminant-transport","tag-dual-porosity","tag-environmental-engineering","tag-fractured-media","tag-fractured-till","tag-groundwater-modeling","tag-hydrogeology","tag-landfill-design","tag-leachate-modeling","tag-matrix-diffusion","tag-pollutev10","tag-reactive-transport","tag-sorption"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.4 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>POLLUTEv10 Example 6: Fractured Till and Sorption - 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