{"id":92356,"date":"2026-04-22T15:00:38","date_gmt":"2026-04-22T15:00:38","guid":{"rendered":"https:\/\/gaeatech.com\/knowledge-center\/?p=92356"},"modified":"2026-04-24T01:43:15","modified_gmt":"2026-04-24T01:43:15","slug":"migrate-vs-pollute-finite-mass","status":"publish","type":"post","link":"https:\/\/gaeatech.com\/knowledge-center\/migrate-vs-pollute-finite-mass\/","title":{"rendered":"MIGRATEv10 vs POLLUTEv10: Finite Mass Source Comparison"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\" id=\"h-overview\">Overview<\/h2>\n\n\n\n<p>This example compares finite mass transport results from MIGRATEv10 and POLLUTEv10. Unlike constant source cases, this scenario represents a <strong>limited contaminant inventory<\/strong>, where concentrations rise, peak, and then decline as the source is depleted.<\/p>\n\n\n\n<p>The key objective is to evaluate how both models predict:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Peak concentrations<\/li>\n\n\n\n<li>Time to peak<\/li>\n\n\n\n<li>Mass transfer through the system<\/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-model-setup\">Model Setup<\/h2>\n\n\n\n<p>Both models use identical physical conditions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Layer thickness: 4 m<\/li>\n\n\n\n<li>Dispersion coefficient: 0.01 m\u00b2\/a<\/li>\n\n\n\n<li>Porosity: 0.4<\/li>\n\n\n\n<li>Sorption: None (Kd = 0)<\/li>\n\n\n\n<li>Vertical velocity: 0.03 m\/a<\/li>\n\n\n\n<li>Finite mass source:\n<ul class=\"wp-block-list\">\n<li>Initial concentration: 1000 mg\/L<\/li>\n\n\n\n<li>Leachate collection: 0.27 m\/a<\/li>\n\n\n\n<li>Reference head: 7.5 m<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Bottom boundary:\n<ul class=\"wp-block-list\">\n<li>Advective outflow (aquifer)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>This configuration produces a <strong>transient breakthrough curve<\/strong> with a clear peak.<\/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-results-comparison\">Results Comparison<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-peak-concentration-at-the-base\">Peak Concentration at the Base<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"571\" height=\"455\" src=\"https:\/\/gaeatech.com\/knowledge-center\/wp-content\/uploads\/2026\/04\/output-2.jpg\" alt=\"\" class=\"wp-image-92357\" srcset=\"https:\/\/gaeatech.com\/knowledge-center\/wp-content\/uploads\/2026\/04\/output-2.jpg 571w, https:\/\/gaeatech.com\/knowledge-center\/wp-content\/uploads\/2026\/04\/output-2-300x239.jpg 300w\" sizes=\"auto, (max-width: 571px) 100vw, 571px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-pollutev10-result\">POLLUTEv10 Result<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Peak time: <strong>~70 years<\/strong><\/li>\n\n\n\n<li>Peak concentration (depth = 4 m): <strong>~135.9 mg\/L<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-migratev10-centerline-x-0-m\">MIGRATEv10 (Centerline, x = 0 m)<\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><th>Time (years)<\/th><th>Base Concentration (mg\/L)<\/th><\/tr><tr><td>69<\/td><td>73.1<\/td><\/tr><tr><td>70<\/td><td>71.9<\/td><\/tr><tr><td>72<\/td><td>69.3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Peak \u2248 <strong>~72\u201373 mg\/L at ~69\u201370 years<\/strong><\/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-observations\">Key Observations<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-1-same-peak-timing-different-magnitude\">1. Same Peak Timing, Different Magnitude<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Both models predict peak arrival at <strong>~70 years<\/strong><\/li>\n\n\n\n<li>However:\n<ul class=\"wp-block-list\">\n<li><strong>POLLUTEv10 peak \u2248 136 mg\/L<\/strong><\/li>\n\n\n\n<li><strong>MIGRATEv10 peak \u2248 73 mg\/L<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udc49 MIGRATE predicts roughly <strong>50% lower peak concentration<\/strong><\/p>\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-why-the-difference\">2. Why the Difference?<\/h3>\n\n\n\n<p>The difference is entirely due to <strong>dimensionality<\/strong>:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-pollutev10-1d\">POLLUTEv10 (1D)<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Assumes no lateral spreading<\/li>\n\n\n\n<li>All mass moves vertically<\/li>\n\n\n\n<li>Produces <strong>higher, more concentrated breakthrough<\/strong><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-migratev10-2d\">MIGRATEv10 (2D)<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Includes lateral spreading<\/li>\n\n\n\n<li>Mass disperses outward as well as downward<\/li>\n\n\n\n<li>Produces <strong>lower peak concentrations<\/strong><\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udccc POLLUTE is effectively a <strong>centerline, no-dilution case<\/strong><br>\ud83d\udccc MIGRATE provides a <strong>realistic plume distribution<\/strong><\/p>\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-lateral-variability-migratev10\">3. Lateral Variability (MIGRATEv10)<\/h3>\n\n\n\n<p>At ~69 years:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Distance<\/td><td>Base Concentration (mg\/L)<\/td><\/tr><tr><td>x = -100 m<\/td><td>~0.22<\/td><\/tr><tr><td>x = 0 m<\/td><td>~73.1<\/td><\/tr><tr><td>x = +100 m<\/td><td>~149.4<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>This shows:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Strong spatial variability<\/li>\n\n\n\n<li>Higher concentrations near plume edges due to geometry and flow convergence effects<\/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-4-mass-transport-insights\">4. Mass Transport Insights<\/h3>\n\n\n\n<p>MIGRATEv10 provides additional system-level insight:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>At ~70 years:\n<ul class=\"wp-block-list\">\n<li>Mass into soil \u2248 1.41 \u00d7 10\u2075<\/li>\n\n\n\n<li>Mass into base \u2248 7.35 \u00d7 10\u2074<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>This indicates:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Significant fraction of source mass has migrated through the system<\/li>\n\n\n\n<li>Strong advective flushing combined with dispersion<\/li>\n<\/ul>\n\n\n\n<p>POLLUTEv10 does not report cumulative mass in this output.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-5-peak-behavior-finite-mass-signature\">5. Peak Behavior (Finite Mass Signature)<\/h3>\n\n\n\n<p>Both models show the expected finite source response:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Rising concentrations as mass enters the system<\/li>\n\n\n\n<li>Peak concentration when input \u2248 output<\/li>\n\n\n\n<li>Decline after source depletion (not shown here but implied)<\/li>\n<\/ul>\n\n\n\n<p>This is fundamentally different from constant source cases where steady state is reached.<\/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-differences-summary\">Key Differences Summary<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Feature<\/td><td>MIGRATEv10<\/td><td>POLLUTEv10<\/td><\/tr><tr><td>Dimensionality<\/td><td>2D (lateral + vertical)<\/td><td>1D (vertical only)<\/td><\/tr><tr><td>Peak timing<\/td><td>Same (~70 years)<\/td><td>Same<\/td><\/tr><tr><td>Peak magnitude<\/td><td>Lower (~73 mg\/L)<\/td><td>Higher (~136 mg\/L)<\/td><\/tr><tr><td>Lateral spreading<\/td><td>Included<\/td><td>Not included<\/td><\/tr><tr><td>Mass tracking<\/td><td>Yes<\/td><td>No<\/td><\/tr><tr><td>Conservatism<\/td><td>Realistic<\/td><td>Conservative (higher peaks)<\/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-interpretation\">Interpretation<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>POLLUTEv10 provides a conservative estimate<\/strong> of peak concentration<\/li>\n\n\n\n<li><strong>MIGRATEv10 provides a more realistic distribution<\/strong> of contaminant mass<\/li>\n<\/ul>\n\n\n\n<p>For design and risk assessment:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>POLLUTE is useful for <strong>screening and upper-bound estimates<\/strong><\/li>\n\n\n\n<li>MIGRATE is better for <strong>detailed plume behavior and system response<\/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-conclusion\">Conclusion<\/h2>\n\n\n\n<p>This comparison highlights a critical insight:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-small-font-size\">Even when peak timing is identical, <strong>dimensionality strongly affects peak magnitude<\/strong>.<\/p>\n<\/blockquote>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Both models solve the governing transport equations correctly<\/li>\n\n\n\n<li>Differences arise from how contaminant mass is distributed spatially<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udc49 Use <strong>POLLUTEv10<\/strong> when conservative estimates are needed<br>\ud83d\udc49 Use <strong>MIGRATEv10<\/strong> when spatial realism and mass flux are important<\/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-learn-more-about-our-contaminant-transport-modeling-solutions\">Learn more about our Contaminant Transport Modeling Solutions<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.gaeatech.com\/pollute.php\" target=\"_blank\" rel=\"noreferrer noopener\">POLLUTE and MIGRATE Contaminant Modeling and Landfill Design<\/a><\/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-comparison-between-pollute-and-migrate\">Comparison between POLLUTE and  MIGRATE<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/gaeatech.com\/knowledge-center\/migrate-vs-pollute-pure-diffusion\/\">MIGRATEv10 vs POLLUTEv10: Pure Diffusion Comparison<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/gaeatech.com\/knowledge-center\/migrate-vs-pollute-advective-diffusive-transport\/\">MIGRATEv10 vs POLLUTEv10: Advective\u2013Diffusive Transport Comparison<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/gaeatech.com\/knowledge-center\/migrate-vs-pollute-hydraulic-trap\/\">MIGRATEv10 vs POLLUTEv10: Hydraulic Trap (Finite Mass Source) Comparison<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/gaeatech.com\/knowledge-center\/migrate-vs-pollute-fractured-layer-sorption\/\">MIGRATEv10 vs POLLUTEv10: Fractured Layer with Sorption Comparison<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Overview This example compares finite mass transport results from MIGRATEv10 and POLLUTEv10. Unlike constant source cases, this scenario represents a limited contaminant inventory, where concentrations rise, peak, and then decline as the source is depleted. The key objective is to evaluate how both models predict: Model Setup Both models use identical physical conditions: This configuration [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":92358,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[858,1690],"tags":[1725,501,24,1698,821,675,1689,1627],"class_list":["post-92356","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-contaminant-transport-modeling","category-migrateexamples","tag-breakthrough-curve","tag-contaminant-transport","tag-environmental-engineering","tag-finite-mass-source","tag-hydrogeology","tag-landfill-modeling","tag-migratev10","tag-pollutev10"],"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>MIGRATEv10 vs POLLUTEv10: Finite Mass Source Comparison - 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