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<datestamp>2018-01-11</datestamp>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Time domain random walks for hydrodynamic transport in heterogeneous media</title>
<creator>RUSSIAN, Anna</creator>
<creator>Dentz, Marco</creator>
<creator>GOUZE, Philippe</creator>
<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>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>Institute of Environmental Assessment and Water Research (IDÆA-CSIC), Barcelona ; Université du Québec</contributor>
<description>International audience</description>
<source>ISSN: 0043-1397</source>
<source>EISSN: 1944-7973</source>
<source>Water Resources Research</source>
<publisher>American Geophysical Union</publisher>
<identifier>hal-01356319</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-01356319</identifier>
<source>https://hal.archives-ouvertes.fr/hal-01356319</source>
<source>Water Resources Research, American Geophysical Union, 2016, 52 (5), pp.3309-3323. 〈10.1002/2015WR018511〉</source>
<identifier>DOI : 10.1002/2015WR018511</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1002/2015WR018511</relation>
<language>en</language>
<subject lang=en>time domain random walk</subject>
<subject lang=en>continuous time random walk</subject>
<subject lang=en>transport</subject>
<subject lang=en>multirate mass transfer</subject>
<subject>[SDU.STU.GP] Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We derive a general formulation of the time domain random walk (TDRW) approach to model the hydrodynamic transport of inert solutes in complex geometries and heterogeneous media. We demonstrate its formal equivalence with the discretized advection-dispersion equation and show that the TDRW is equivalent to a continuous time random walk (CTRW) characterized by space-dependent transition times and transition probabilities. The transition times are exponentially distributed. We discuss the implementation of different concentration boundary conditions and initial conditions as well as the occurrence of numerical dispersion. Furthermore, we propose an extension of the TDRW scheme to account for mobile-immobile multirate mass transfer. Finally, the proposed TDRW scheme is validated by comparison to analytical solutions for spatially homogeneous and heterogeneous transport scenarios.</description>
<date>2016-05</date>
</dc>
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