{"id":1574,"date":"2026-02-26T05:02:20","date_gmt":"2026-02-26T05:02:20","guid":{"rendered":"https:\/\/gaeatech.com\/wordpress\/?p=1574"},"modified":"2026-03-26T04:32:13","modified_gmt":"2026-03-26T04:32:13","slug":"model-decay-gaea-pollutev8","status":"publish","type":"post","link":"https:\/\/gaeatech.com\/knowledge-center\/model-decay-gaea-pollutev8\/","title":{"rendered":"How Do I Model Radioactive and Biological Decay in POLLUTEv8?"},"content":{"rendered":"\n

When modeling the transport of contaminants through soil and groundwater, not all pollutants are conservative. Many substances, such as radionuclides or biodegradable organic compounds, decrease in concentration over time due to internal decay processes.<\/p>\n\n\n\n

In GAEA Technologies POLLUTEv8<\/a>, accounting for this loss is critical for accurate long-term impact assessments. Here is a step-by-step guide on how to implement decay in your models.<\/p>\n\n\n\n

\n\n\n\n

Understanding the Decay Constant<\/h3>\n\n\n\n

POLLUTEv8 uses a first-order decay model. The rate of mass loss is governed by the decay constant (\u03bb<\/mi>\\lambda<\/annotation><\/semantics><\/math>). The relationship between the concentration (C<\/semantics><\/math>) and time (t<\/semantics><\/math>) is expressed as:<\/p>\n\n\n\n

<\/semantics><\/math>C<\/mi>(<\/mo>t<\/mi>)<\/mo>=<\/mo>C<\/mi>0<\/mn><\/msub>e<\/mi>\u2212<\/mo>\u03bb<\/mi>t<\/mi><\/mrow><\/msup><\/mrow>C(t) = C_0 e^{-\\lambda t}<\/annotation><\/semantics><\/math><\/p>\n\n\n\n

Where:<\/p>\n\n\n\n

    \n
  • C0<\/sub>\u00a0is the initial concentration.<\/li>\n\n\n\n
  • \u03bb<\/mi>\\lambda<\/annotation><\/semantics><\/math><\/semantics><\/math>\u00a0is the decay constant (units of\u00a0<\/semantics><\/math>1\/time).<\/li>\n<\/ul>\n\n\n\n

    Step 1: Calculate Your Decay Constant<\/h4>\n\n\n\n

    Before entering data into the software, you must convert your contaminant’s half-life (t\/1\/2<\/semantics><\/math><\/sub>) into a decay constant. Use the following formula:<\/p>\n\n\n\n

    \u03bb<\/mi>=<\/mo>ln<\/mi>\u2061<\/mo><\/mrow>(<\/mo>2<\/mn>)<\/mo><\/mrow>t<\/mi>1<\/mn>\/<\/mi>2<\/mn><\/mrow><\/msub><\/mfrac><\/mrow>\\lambda = \\frac{\\ln(2)}{t_{1\/2}}<\/annotation><\/semantics><\/math><\/div>\n\n\n\n

    Step 2: Inputting Decay Data in POLLUTEv8<\/h4>\n\n\n\n
    \"\"<\/figure>\n\n\n\n

    Radioactive and biological decay are entered on the Special Features tab. The half-lives are specified for each depth interval experiencing decay. In addition to the layers, decay can also be specified at the source and base of the model.<\/p>\n\n\n\n

    \n\n\n\n

    Typical Values of Radioactive and Biological Decay<\/h3>\n\n\n\n

    In contaminant transport modeling, decay constants vary significantly depending on whether you are dealing with radioactive isotopes (which have fixed physical half-lives) or biological contaminants (which depend on environmental conditions like oxygen and temperature).<\/p>\n\n\n\n

    Below are typical values you might use in POLLUTEv8, categorized by contaminant type.<\/p>\n\n\n\n

    Radioactive Decay Constants<\/h4>\n\n\n\n

    Radioactive decay is predictable and follows a strict physical half-life. These values are constant regardless of the soil medium.<\/p>\n\n\n\n

    Radionuclide<\/th>Typical Half-life <\/semantics><\/math><\/th><\/tr>
    Tritium<\/strong><\/td>    		12.32 years<\/td><\/tr>
    Strontium-90<\/strong><\/td>28.8 years<\/td><\/tr>
    Cesium-137<\/strong><\/td>30.17 years<\/td><\/tr>
    Plutonium-239<\/strong><\/td>24,110 years<\/td><\/tr>
    Carbon-14<\/strong><\/td>5,730 years<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
    \n\n\n\n

    2. Biological Decay Constants (Biodegradation)<\/h4>\n\n\n\n

    Unlike radionuclides, biological decay constants for organic compounds (like petroleum hydrocarbons or chlorinated solvents) are highly variable. They are often reported as a range because “site-specific” conditions (pH, moisture, microbes) matter.<\/p>\n\n\n\n

    Compound<\/th>Typical Half-life Range<\/th><\/tr>
    Benzene<\/strong><\/td>10 \u2013 700 days<\/td><\/tr>
    Toluene<\/strong><\/td>2 \u2013 100 days<\/td><\/tr>
    Vinyl Chloride<\/strong><\/td>70 \u2013 1,100 days<\/td><\/tr>
    DCE (Dichloroethene)<\/strong><\/td>100 \u2013 1,000 days<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
    \n\n\n\n

    Summary<\/h3>\n\n\n\n

    Modeling decay in POLLUTEv8 requires converting a substance’s half-life into a first-order decay constant (\u03bb<\/mi>\\lambda<\/annotation><\/semantics><\/math><\/semantics><\/math>). This value is then applied to the transport properties of the individual soil layers and, if applicable, the source boundary condition. This ensures that the model reflects the natural reduction of contaminant mass over the simulation period, preventing overly conservative (and potentially expensive) engineering designs.<\/p>\n\n\n\n

    <\/p>\n","protected":false},"excerpt":{"rendered":"

    When modeling the transport of contaminants through soil and groundwater, not all pollutants are conservative. Many substances, such as radionuclides or biodegradable organic compounds, decrease in concentration over time due to internal decay processes. In GAEA Technologies POLLUTEv8, accounting for this loss is critical for accurate long-term impact assessments. Here is a step-by-step guide on how to implement decay […]<\/p>\n","protected":false},"author":1,"featured_media":91255,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1204,726],"tags":[668,501,669,192,670,549,667],"class_list":["post-1574","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-contaminant-transport-modeling-tutorials","category-training-and-tutorials","tag-biological-decay","tag-contaminant-transport","tag-decay-constant","tag-gaea-technologies","tag-half-life-formula","tag-pollutev8","tag-radioactive-decay"],"yoast_head":"\nModel Decay in POLLUTEv8: A Complete Guide - Knowledge Center<\/title>\n<meta name=\"description\" content=\"Learn about model decay in POLLUTEv8 and how to accurately assess the long-term impact of contaminants over time.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/gaeatech.com\/knowledge-center\/model-decay-gaea-pollutev8\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How Do I Model Radioactive and Biological Decay in POLLUTEv8?\" \/>\n<meta property=\"og:description\" content=\"Learn about model decay in POLLUTEv8 and how to accurately assess the long-term impact of contaminants over time.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/gaeatech.com\/knowledge-center\/model-decay-gaea-pollutev8\/\" \/>\n<meta property=\"og:site_name\" content=\"Knowledge Center\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.linkedin.com\/company\/2663277\/\" \/>\n<meta property=\"article:published_time\" content=\"2026-02-26T05:02:20+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-03-26T04:32:13+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/gaeatech.com\/knowledge-center\/wp-content\/uploads\/2026\/02\/radioactive-biological-decay-pollutev8.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1536\" \/>\n\t<meta property=\"og:image:height\" content=\"1024\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"GAEA Technologies\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"GAEA Technologies\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/gaeatech.com\\\/knowledge-center\\\/model-decay-gaea-pollutev8\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/gaeatech.com\\\/knowledge-center\\\/model-decay-gaea-pollutev8\\\/\"},\"author\":{\"name\":\"GAEA Technologies\",\"@id\":\"https:\\\/\\\/gaeatech.com\\\/knowledge-center\\\/#\\\/schema\\\/person\\\/940fb5fed6e95dd9d0ec1370207f5dba\"},\"headline\":\"How Do I Model Radioactive and Biological Decay in POLLUTEv8?\",\"datePublished\":\"2026-02-26T05:02:20+00:00\",\"dateModified\":\"2026-03-26T04:32:13+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/gaeatech.com\\\/knowledge-center\\\/model-decay-gaea-pollutev8\\\/\"},\"wordCount\":424,\"commentCount\":2,\"publisher\":{\"@id\":\"https:\\\/\\\/gaeatech.com\\\/knowledge-center\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/gaeatech.com\\\/knowledge-center\\\/model-decay-gaea-pollutev8\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/gaeatech.com\\\/knowledge-center\\\/wp-content\\\/uploads\\\/2026\\\/02\\\/radioactive-biological-decay-pollutev8.jpg\",\"keywords\":[\"Biological Decay\",\"contaminant transport\",\"Decay Constant\",\"GAEA Technologies\",\"Half-life formula.\",\"POLLUTEv8\",\"Radioactive Decay\"],\"articleSection\":[\"Contaminant Transport Modeling\",\"Training and Tutorials\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/gaeatech.com\\\/knowledge-center\\\/model-decay-gaea-pollutev8\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/gaeatech.com\\\/knowledge-center\\\/model-decay-gaea-pollutev8\\\/\",\"url\":\"https:\\\/\\\/gaeatech.com\\\/knowledge-center\\\/model-decay-gaea-pollutev8\\\/\",\"name\":\"Model Decay in POLLUTEv8: A Complete Guide - 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