Advective trapping in the flow through composite heterogeneous porous media

We study the mechanisms of advective trapping in composite porousmedia that consist of circular inclusions of distributed hydraulic con-ductivity embedded in a high conductivity matrix. Advective trappingoccurs when solute enters low velocity regions in the media.Transportis analyzed in terms of bre...

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Detalles Bibliográficos
Autores: Hidalgo, Juan J., Neuweiler, Insa, Dentz, Marco
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2022
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/270041
Acceso en línea:http://hdl.handle.net/10261/270041
Access Level:acceso abierto
Palabra clave:Porous media
Continuous time random walks
Multirate mass transfer
Stochastic Modeling
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spelling Advective trapping in the flow through composite heterogeneous porous mediaHidalgo, Juan J.Neuweiler, InsaDentz, MarcoPorous mediaContinuous time random walksMultirate mass transferStochastic ModelingWe study the mechanisms of advective trapping in composite porousmedia that consist of circular inclusions of distributed hydraulic con-ductivity embedded in a high conductivity matrix. Advective trappingoccurs when solute enters low velocity regions in the media.Transportis analyzed in terms of breakthrough curves measured at the outlet ofthe system. The curve’s peak behavior depends on the volume frac-tion occupied by the inclusions, while the tail behavior depends onthe distribution of hydraulic conductivity values. In order to quantifythe observed behaviors we derive two equivalent upscaled transportmodels. First, we derive a Lagrangian trapping model using the con-tinuous time random walk framework that is parameterized intermsof volume fraction and the distribution of conductivites in the inclu-sions. Second, we establish a non-local partial differential equation forthe mobile solute concentration by volume averaging of the microscaletransport equation. We show the equivalence between the two modelsas well as (first-order) multirate mass transfer models. Theupscaledapproach, parameterized by medium and flow properties captures allfeatures of the observed solute breakthrough curves, and sheds newlight on the modeling of advective trapping in heterogeneous media.Peer reviewedSpringer NatureDentz, Marco [0000-0002-3940-282X]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202220222022info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Preprintinfo:eu-repo/semantics/submittedVersionhttp://hdl.handle.net/10261/270041reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)InglésSíinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2700412026-05-22T06:33:51Z
dc.title.none.fl_str_mv Advective trapping in the flow through composite heterogeneous porous media
title Advective trapping in the flow through composite heterogeneous porous media
spellingShingle Advective trapping in the flow through composite heterogeneous porous media
Hidalgo, Juan J.
Porous media
Continuous time random walks
Multirate mass transfer
Stochastic Modeling
title_short Advective trapping in the flow through composite heterogeneous porous media
title_full Advective trapping in the flow through composite heterogeneous porous media
title_fullStr Advective trapping in the flow through composite heterogeneous porous media
title_full_unstemmed Advective trapping in the flow through composite heterogeneous porous media
title_sort Advective trapping in the flow through composite heterogeneous porous media
dc.creator.none.fl_str_mv Hidalgo, Juan J.
Neuweiler, Insa
Dentz, Marco
author Hidalgo, Juan J.
author_facet Hidalgo, Juan J.
Neuweiler, Insa
Dentz, Marco
author_role author
author2 Neuweiler, Insa
Dentz, Marco
author2_role author
author
dc.contributor.none.fl_str_mv Dentz, Marco [0000-0002-3940-282X]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Porous media
Continuous time random walks
Multirate mass transfer
Stochastic Modeling
topic Porous media
Continuous time random walks
Multirate mass transfer
Stochastic Modeling
description We study the mechanisms of advective trapping in composite porousmedia that consist of circular inclusions of distributed hydraulic con-ductivity embedded in a high conductivity matrix. Advective trappingoccurs when solute enters low velocity regions in the media.Transportis analyzed in terms of breakthrough curves measured at the outlet ofthe system. The curve’s peak behavior depends on the volume frac-tion occupied by the inclusions, while the tail behavior depends onthe distribution of hydraulic conductivity values. In order to quantifythe observed behaviors we derive two equivalent upscaled transportmodels. First, we derive a Lagrangian trapping model using the con-tinuous time random walk framework that is parameterized intermsof volume fraction and the distribution of conductivites in the inclu-sions. Second, we establish a non-local partial differential equation forthe mobile solute concentration by volume averaging of the microscaletransport equation. We show the equivalence between the two modelsas well as (first-order) multirate mass transfer models. Theupscaledapproach, parameterized by medium and flow properties captures allfeatures of the observed solute breakthrough curves, and sheds newlight on the modeling of advective trapping in heterogeneous media.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Preprint
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/270041
url http://hdl.handle.net/10261/270041
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.81155

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