Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media

We study the upscaling of pore-scale transport of passive solute in a carbonate rock sample. It is characterized by microporous regions displaying heterogeneous porosity distribution that are accessible due to diffusion only, and a strongly heterogeneous mobile pore space, characterized by a broad d...

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Autores: Gouze, Philippe, Puyguiraud, Alexandre, Roubinet, Delphine, Dentz, Marco
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2020
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/222934
Acceso en línea:http://hdl.handle.net/10261/222934
Access Level:acceso abierto
Palabra clave:Upscaling
Non-Fickian dispersion
Heterogeneous porous media
Time domain random walk
Continuous time random walks
Dual multirate mass transfer model
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spelling Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity mediaGouze, PhilippePuyguiraud, AlexandreRoubinet, DelphineDentz, MarcoUpscalingNon-Fickian dispersionHeterogeneous porous mediaTime domain random walkContinuous time random walksDual multirate mass transfer modelWe study the upscaling of pore-scale transport of passive solute in a carbonate rock sample. It is characterized by microporous regions displaying heterogeneous porosity distribution that are accessible due to diffusion only, and a strongly heterogeneous mobile pore space, characterized by a broad distribution of flow velocities. We observe breakthrough curves that are characterized by strong tailing, which can be attributed to velocity variability in the flowing medium portion, and solute retention in the microporous space. Using accurate numerical flow and transport simulations, we separate these two mechanisms by analyzing the statistics of residence times in the mobile phase, and the trapping and residence time statistics in the mmobile phase. We employ a continuous time random walk framework in order to upscale transport using a particle based implementation of mobile-immobile mass transfer, and heterogeneous advection. This approach is based on the statistics of the characteristic mobile and immobile residence times, and mass transfer rates between the two continua. While classical mobile-immobile approaches model mass transfer as a constant rate process, we find that the trapping rate increases with increasing mobile residence times until it reaches a constant asymptotic value. Based on these findings and the statistical characteristics of travel and retention times, we derive an upscaled Lagrangian transport model that separates the processes of heterogeneous advection and diffusion in the immobile microporous space, and provides accurate descriptions of the observed non-Fickian breakthrough curves. These results shed light on transport upscaling in highly complex dual-porosity rocks for which mobile-immobile mass transfer are controlled by a dual multirate process controlled by the heterogeneity of both the flow field in the connected porosity and the diffusion in the no-flow regions.PG and DR acknowledge funding from the CNRSIEA through the project CROSSCALE (ex-PICS n\260280090). MD and AP acknowledge funding from the Spanish Ministry of Science and Innovation through the project HydroPore (PID2019-106887GB-C31).Peer reviewedElsevierMinisterio de Ciencia e Innovación (España)Dentz, Marco [0000-0002-3940-282X]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202020202020info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/222934reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-106887GB-C31https://doi.org/10.1016/j.advwatres.2020.103781Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2229342026-05-22T06:33:51Z
dc.title.none.fl_str_mv Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media
title Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media
spellingShingle Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media
Gouze, Philippe
Upscaling
Non-Fickian dispersion
Heterogeneous porous media
Time domain random walk
Continuous time random walks
Dual multirate mass transfer model
title_short Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media
title_full Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media
title_fullStr Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media
title_full_unstemmed Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media
title_sort Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media
dc.creator.none.fl_str_mv Gouze, Philippe
Puyguiraud, Alexandre
Roubinet, Delphine
Dentz, Marco
author Gouze, Philippe
author_facet Gouze, Philippe
Puyguiraud, Alexandre
Roubinet, Delphine
Dentz, Marco
author_role author
author2 Puyguiraud, Alexandre
Roubinet, Delphine
Dentz, Marco
author2_role author
author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Dentz, Marco [0000-0002-3940-282X]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Upscaling
Non-Fickian dispersion
Heterogeneous porous media
Time domain random walk
Continuous time random walks
Dual multirate mass transfer model
topic Upscaling
Non-Fickian dispersion
Heterogeneous porous media
Time domain random walk
Continuous time random walks
Dual multirate mass transfer model
description We study the upscaling of pore-scale transport of passive solute in a carbonate rock sample. It is characterized by microporous regions displaying heterogeneous porosity distribution that are accessible due to diffusion only, and a strongly heterogeneous mobile pore space, characterized by a broad distribution of flow velocities. We observe breakthrough curves that are characterized by strong tailing, which can be attributed to velocity variability in the flowing medium portion, and solute retention in the microporous space. Using accurate numerical flow and transport simulations, we separate these two mechanisms by analyzing the statistics of residence times in the mobile phase, and the trapping and residence time statistics in the mmobile phase. We employ a continuous time random walk framework in order to upscale transport using a particle based implementation of mobile-immobile mass transfer, and heterogeneous advection. This approach is based on the statistics of the characteristic mobile and immobile residence times, and mass transfer rates between the two continua. While classical mobile-immobile approaches model mass transfer as a constant rate process, we find that the trapping rate increases with increasing mobile residence times until it reaches a constant asymptotic value. Based on these findings and the statistical characteristics of travel and retention times, we derive an upscaled Lagrangian transport model that separates the processes of heterogeneous advection and diffusion in the immobile microporous space, and provides accurate descriptions of the observed non-Fickian breakthrough curves. These results shed light on transport upscaling in highly complex dual-porosity rocks for which mobile-immobile mass transfer are controlled by a dual multirate process controlled by the heterogeneity of both the flow field in the connected porosity and the diffusion in the no-flow regions.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/222934
url http://hdl.handle.net/10261/222934
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-106887GB-C31
https://doi.org/10.1016/j.advwatres.2020.103781
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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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