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dc.contributor.authorMassoudieh, Arashes_ES
dc.contributor.authorDentz, Marcoes_ES
dc.date.accessioned2020-09-22T06:18:15Z-
dc.date.available2020-09-22T06:18:15Z-
dc.date.issued2020-09-
dc.identifier.citationAdvances in Water Resources 143: 103680 (2020)es_ES
dc.identifier.urihttp://hdl.handle.net/10261/219983-
dc.description.abstractWhile commonly non-local transport models have been shown to reproduce breakthrough curves resulting from transport in heterogeneous aquifers successfully, open questions include the formal link between the upscaled governing equations and the sub-scale heterogeneity, and the ability to account for the effect of heterogeneity on effective chemical reaction rates in the presence of non-linear multi-component reactions. Time-domain random walk approaches based on velocity Markov models provide a framework to resolve these issues by incorporating the spatial correlation of velocity of a solute particle in consecutive locations along its trajectory. These approaches often rely on particle tracking approaches, which, however, can be computationally burdensome especially when non-linear reactions are sought to be modeled. In this paper, an integro-differential equation is proposed for upscaling multi-component reactive transport in heterogeneous media that relies on copulas for representing the velocity correlation structure. For this purpose, we express concentration or flux of solutes as a distribution over their velocity. We then derive the integro-differential equation that governs the evolution of concentration distribution over a quantity defined as velocity-rank. In this way, the spatial evolution of breakthrough curves away from the source is predicted based on ergodic cross-sectional velocity distributions and a parameterized copula function which expresses the correlation between velocity-ranks of a solute particle along its trajectory. We demonstrate the validity of the proposed model by comparing breakthrough curves for conservative and non-linearly reacting solutes based on realizations of hydraulic conductivity fields to the results of the upscaled model.es_ES
dc.description.sponsorshipMarco Dentz acknowledges the support of the European Research Council (ERC) through the project MHetScale (617511).es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.relationinfo:eu-repo/grantAgreement/EC/FP7/617511es_ES
dc.relation.isversionofPostprintes_ES
dc.rightsembargoedAccesses_ES
dc.subjectUpscalinges_ES
dc.subjectReactive transportes_ES
dc.subjectHeterogeneityes_ES
dc.subjectSpatial Markov modeles_ES
dc.titleUpscaling non-linear reactive transport in correlated velocity fieldses_ES
dc.typeartículoes_ES
dc.identifier.doihttp://dx.doi.org/10.1016/j.advwatres.2020.103680-
dc.description.peerreviewedPeer reviewedes_ES
dc.relation.publisherversionhttps://doi.org/10.1016/j.advwatres.2020.103680es_ES
dc.embargo.terms2022-09-01es_ES
dc.contributor.funderEuropean Research Counciles_ES
dc.relation.csices_ES
oprm.item.hasRevisionno ko 0 false*
dc.identifier.funderhttp://dx.doi.org/10.13039/501100000781es_ES
dc.contributor.orcidDentz, Marco [0000-0002-3940-282X]es_ES
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