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<title lang=en>Diffusion and trapping in heterogeneous media: An inhomogeneous continuous time random walk approach</title>
<creator>Dentz, Marco</creator>
<creator>Gouze, Philippe</creator>
<creator>Russian, Anna</creator>
<creator>Dweik, Jalal</creator>
<creator>Delay, Frederick</creator>
<contributor>Institute of Environmental Assessment and Water Research (IDÆA), Barcelona ; Université du Québec</contributor>
<contributor>Transferts en milieux poreux ; Géosciences Montpellier ; Université des Antilles et de la Guyane (UAG) - Institut national des sciences de l'Univers (INSU - CNRS) - Université de Montpellier (UM) - Centre National de la Recherche Scientifique (CNRS) - Université des Antilles et de la Guyane (UAG) - Institut national des sciences de l'Univers (INSU - CNRS) - Université de Montpellier (UM) - Centre National de la Recherche Scientifique (CNRS)</contributor>
<contributor>Géosciences Montpellier ; Université des Antilles et de la Guyane (UAG) - Institut national des sciences de l'Univers (INSU - CNRS) - Université de Montpellier (UM) - Centre National de la Recherche Scientifique (CNRS)</contributor>
<contributor>Laboratoire d'Hydrologie et de Géochimie de Strasbourg (LHyGeS) ; École Nationale du Génie de l'Eau et de l'Environnement de Strasbourg (ENGEES) - Institut national des sciences de l'Univers (INSU - CNRS) - Centre National de la Recherche Scientifique (CNRS)</contributor>
<description>International audience</description>
<source>ISSN: 0309-1708</source>
<source>Advances in Water Resources</source>
<publisher>Elsevier</publisher>
<identifier>hal-00767566</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00767566</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00767566</source>
<source>Advances in Water Resources, Elsevier, 2012, 49, pp.13-22. 〈10.1016/j.advwatres.2012.07.015〉</source>
<identifier>DOI : 10.1016/j.advwatres.2012.07.015</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1016/j.advwatres.2012.07.015</relation>
<language>en</language>
<subject lang=en>Diffusion in random media</subject>
<subject lang=en>Continuous time random walks</subject>
<subject lang=en>Time-domain random walks</subject>
<subject lang=en>Multirate mass transfer Stochastic modeling</subject>
<subject>[SDU.STU.GP] Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph]</subject>
<subject>[PHYS.PHYS.PHYS-GEO-PH] Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph]</subject>
<subject>[SDE.MCG] Environmental Sciences/Global Changes</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We study diffusion in a heterogeneous medium that is characterized by spatially varying diffusion properties from a random walk point of view. We show that an inhomogeneous continuous time random walk (CTRW) with a spatially variable exponential transition time distribution solves the spatially discretized heterogeneous diffusion equation. This demonstrates the equivalence of the widely used time-domain random walk (TDRW) scheme and spatially inhomogeneous CTRW and at the same time provides a demonstration of the formal equivalence of the TDRW particle formulation and the heterogeneous diffusion equation. Based on this equivalence, we develop a TDRW method for heterogeneous diffusion under spatially variable multirate mass transfer properties. We discuss the implementation of these schemes and study the diffusion behavior in the presence of traps that are characterized by a truncated power-law trapping time distribution.</description>
<date>2012-12</date>
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