Scaling laws and mechanisms of hydrodynamic dispersion in porous media
We present a theory that quantifies the interplay between intrapore and interpore flow variabilities and their impact on hydrodynamic dispersion. The theory reveals that porous media with varying levels of structural disorder exhibit notable differences in interpore flow variability, characterised b...
| Autores: | , , , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/379296 |
| Acceso en línea: | http://hdl.handle.net/10261/379296 https://api.elsevier.com/content/abstract/scopus_id/85213024157 |
| Access Level: | acceso abierto |
| Palabra clave: | Porous media Dispersion http://metadata.un.org/sdg/9 http://metadata.un.org/sdg/7 Ensure access to affordable, reliable, sustainable and modern energy for all Build resilient infrastructure, promote inclusive and sustainable industrialization and foster innovation |
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Scaling laws and mechanisms of hydrodynamic dispersion in porous mediaLiu, YangXiao, HanAquino, TomásDentz, MarcoWang, MoranPorous mediaDispersionhttp://metadata.un.org/sdg/9http://metadata.un.org/sdg/7Ensure access to affordable, reliable, sustainable and modern energy for allBuild resilient infrastructure, promote inclusive and sustainable industrialization and foster innovationWe present a theory that quantifies the interplay between intrapore and interpore flow variabilities and their impact on hydrodynamic dispersion. The theory reveals that porous media with varying levels of structural disorder exhibit notable differences in interpore flow variability, characterised by the flux-weighted probability density function (PDF), ψ̂τ(τ) ∼ τ−θ−2, for advection times τ through conduits. These differences result in varying relative strengths of interpore and intrapore flow variabilities, leading to distinct scaling behaviours of the hydrodynamic dispersion coefficient DL, normalised by the molecular diffusion coefficient Dm, with respect to the Péclet number Pe. Specifically, when ψ̂τ(τ) exhibits a broad distribution of τ with θ in the range of (0,1), the dispersion undergoes a transition from power-law scaling, DL/Dm ∼ Pe2−θ, to linear scaling, DL/Dm ∼ Pe, and eventually to logarithmic scaling, DL/Dm ∼ Peln(Pe), as Pe increases. Conversely, when τ is narrowly distributed or when θ exceeds 1, dispersion consistently follows a logarithmic scaling, DL/Dm ∼ Peln(Pe). The power-law and linear scaling occur when interpore variability predominates over intrapore variability, while logarithmic scaling arises under the opposite condition. These theoretical predictions are supported by experimental data and network simulations across a broad spectrum of porous media.This work is financially supported by the NSF of China (grant numbers 12432013 and 12272207), National Key R&D Program of China (grant number 2019YFA0708704) and the Tsinghua University Initiative Scientific Research Program. M.D. acknowledges funding by the European Union through ERC grant KARST (project number 101071836). T.A. acknowledges financial support through the HydroPoreII project (PID2022-137652NB-C42), funded by MICIU/AEI/10.13039/501100011033 and ERDF/EU, and by the European Union (ERC Uplift 101115760).Peer reviewedCambridge University PressEuropean Research Council0000-0001-9033-72020000-0002-3940-282X0000-0002-0112-5150Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252024info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/379296https://api.elsevier.com/content/abstract/scopus_id/85213024157reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/EC/H2020/101115760info:eu-repo/grantAgreement/MICIU/AEI/10.13039Journal of Fluid Mechanicshttps://doi.org/10.1017/jfm.2024.1131Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3792962026-05-22T06:33:51Z |
| dc.title.none.fl_str_mv |
Scaling laws and mechanisms of hydrodynamic dispersion in porous media |
| title |
Scaling laws and mechanisms of hydrodynamic dispersion in porous media |
| spellingShingle |
Scaling laws and mechanisms of hydrodynamic dispersion in porous media Liu, Yang Porous media Dispersion http://metadata.un.org/sdg/9 http://metadata.un.org/sdg/7 Ensure access to affordable, reliable, sustainable and modern energy for all Build resilient infrastructure, promote inclusive and sustainable industrialization and foster innovation |
| title_short |
Scaling laws and mechanisms of hydrodynamic dispersion in porous media |
| title_full |
Scaling laws and mechanisms of hydrodynamic dispersion in porous media |
| title_fullStr |
Scaling laws and mechanisms of hydrodynamic dispersion in porous media |
| title_full_unstemmed |
Scaling laws and mechanisms of hydrodynamic dispersion in porous media |
| title_sort |
Scaling laws and mechanisms of hydrodynamic dispersion in porous media |
| dc.creator.none.fl_str_mv |
Liu, Yang Xiao, Han Aquino, Tomás Dentz, Marco Wang, Moran |
| author |
Liu, Yang |
| author_facet |
Liu, Yang Xiao, Han Aquino, Tomás Dentz, Marco Wang, Moran |
| author_role |
author |
| author2 |
Xiao, Han Aquino, Tomás Dentz, Marco Wang, Moran |
| author2_role |
author author author author |
| dc.contributor.none.fl_str_mv |
European Research Council 0000-0001-9033-7202 0000-0002-3940-282X 0000-0002-0112-5150 Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72] |
| dc.subject.none.fl_str_mv |
Porous media Dispersion http://metadata.un.org/sdg/9 http://metadata.un.org/sdg/7 Ensure access to affordable, reliable, sustainable and modern energy for all Build resilient infrastructure, promote inclusive and sustainable industrialization and foster innovation |
| topic |
Porous media Dispersion http://metadata.un.org/sdg/9 http://metadata.un.org/sdg/7 Ensure access to affordable, reliable, sustainable and modern energy for all Build resilient infrastructure, promote inclusive and sustainable industrialization and foster innovation |
| description |
We present a theory that quantifies the interplay between intrapore and interpore flow variabilities and their impact on hydrodynamic dispersion. The theory reveals that porous media with varying levels of structural disorder exhibit notable differences in interpore flow variability, characterised by the flux-weighted probability density function (PDF), ψ̂τ(τ) ∼ τ−θ−2, for advection times τ through conduits. These differences result in varying relative strengths of interpore and intrapore flow variabilities, leading to distinct scaling behaviours of the hydrodynamic dispersion coefficient DL, normalised by the molecular diffusion coefficient Dm, with respect to the Péclet number Pe. Specifically, when ψ̂τ(τ) exhibits a broad distribution of τ with θ in the range of (0,1), the dispersion undergoes a transition from power-law scaling, DL/Dm ∼ Pe2−θ, to linear scaling, DL/Dm ∼ Pe, and eventually to logarithmic scaling, DL/Dm ∼ Peln(Pe), as Pe increases. Conversely, when τ is narrowly distributed or when θ exceeds 1, dispersion consistently follows a logarithmic scaling, DL/Dm ∼ Peln(Pe). The power-law and linear scaling occur when interpore variability predominates over intrapore variability, while logarithmic scaling arises under the opposite condition. These theoretical predictions are supported by experimental data and network simulations across a broad spectrum of porous media. |
| publishDate |
2024 |
| dc.date.none.fl_str_mv |
2024 2025 2025 |
| 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/10261/379296 https://api.elsevier.com/content/abstract/scopus_id/85213024157 |
| url |
http://hdl.handle.net/10261/379296 https://api.elsevier.com/content/abstract/scopus_id/85213024157 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
#PLACEHOLDER_PARENT_METADATA_VALUE# #PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/EC/H2020/101115760 info:eu-repo/grantAgreement/MICIU/AEI/10.13039 Journal of Fluid Mechanics https://doi.org/10.1017/jfm.2024.1131 Sí |
| dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.publisher.none.fl_str_mv |
Cambridge University Press |
| publisher.none.fl_str_mv |
Cambridge University Press |
| dc.source.none.fl_str_mv |
reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC instname:Consejo Superior de Investigaciones Científicas (CSIC) |
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Consejo Superior de Investigaciones Científicas (CSIC) |
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DIGITAL.CSIC. Repositorio Institucional del CSIC |
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DIGITAL.CSIC. Repositorio Institucional del CSIC |
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1869414692053581824 |
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15,812429 |