Advective Trapping in the Flow Through Composite Heterogeneous Porous Media

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Juan J. Hidalgo
  • Insa Neuweiler
  • Marco Dentz

External Research Organisations

  • Spanish National Research Council (CSIC)
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Details

Original languageEnglish
Pages (from-to)599-618
Number of pages20
JournalTransport in porous media
Volume143
Issue number3
Early online date25 Jul 2022
Publication statusPublished - Jul 2022

Abstract

We study the mechanisms of advective trapping in composite porous media that consist of circular inclusions of distributed hydraulic conductivity embedded in a high conductivity matrix. Advective trapping occurs when solute enters low velocity regions in the media. Transport is analyzed in terms of breakthrough curves measured at the outlet of the system. The curve’s peak behavior depends on the volume fraction occupied by the inclusions, while the tail behavior depends on the distribution of hydraulic conductivity values. In order to quantify the observed behaviors, we derive two equivalent upscaled transport models. First, we derive a Lagrangian trapping model using the continuous-time random walk framework that is parameterized in terms of volume fraction and the distribution of conductivities in the inclusions. Second, we establish a non-local partial differential equation for the mobile solute concentration by volume averaging of the microscale transport equation. We show the equivalence between the two models as well as (first-order) multirate mass transfer models. The upscaled approach parameterized by medium and flow properties captures all features of the observed solute breakthrough curves and sheds new light on the modeling of advective trapping in heterogeneous media.

Keywords

    Continuous-time random walks, Multirate mass transfer, Porous media, Stochastic modeling

ASJC Scopus subject areas

Cite this

Advective Trapping in the Flow Through Composite Heterogeneous Porous Media. / Hidalgo, Juan J.; Neuweiler, Insa; Dentz, Marco.
In: Transport in porous media, Vol. 143, No. 3, 07.2022, p. 599-618.

Research output: Contribution to journalArticleResearchpeer review

Hidalgo JJ, Neuweiler I, Dentz M. Advective Trapping in the Flow Through Composite Heterogeneous Porous Media. Transport in porous media. 2022 Jul;143(3):599-618. Epub 2022 Jul 25. doi: 10.1007/s11242-022-01799-z
Hidalgo, Juan J. ; Neuweiler, Insa ; Dentz, Marco. / Advective Trapping in the Flow Through Composite Heterogeneous Porous Media. In: Transport in porous media. 2022 ; Vol. 143, No. 3. pp. 599-618.
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title = "Advective Trapping in the Flow Through Composite Heterogeneous Porous Media",
abstract = "We study the mechanisms of advective trapping in composite porous media that consist of circular inclusions of distributed hydraulic conductivity embedded in a high conductivity matrix. Advective trapping occurs when solute enters low velocity regions in the media. Transport is analyzed in terms of breakthrough curves measured at the outlet of the system. The curve{\textquoteright}s peak behavior depends on the volume fraction occupied by the inclusions, while the tail behavior depends on the distribution of hydraulic conductivity values. In order to quantify the observed behaviors, we derive two equivalent upscaled transport models. First, we derive a Lagrangian trapping model using the continuous-time random walk framework that is parameterized in terms of volume fraction and the distribution of conductivities in the inclusions. Second, we establish a non-local partial differential equation for the mobile solute concentration by volume averaging of the microscale transport equation. We show the equivalence between the two models as well as (first-order) multirate mass transfer models. The upscaled approach parameterized by medium and flow properties captures all features of the observed solute breakthrough curves and sheds new light on the modeling of advective trapping in heterogeneous media.",
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N1 - Funding Information: Data used for producing the figures can be downloaded from digital.csic.es (https://digital.csic.es/handle/10261/255273) and by solving the respective equations. J.J.H. and M.D. acknowledge the support of the Spanish Research Agency (10.13039/501100011033), Spanish Ministry of Science through grants CEX2018-000794-S and HydroPore PID2019-106887GB-C31. J.J.H. acknowledges the support of the Spanish Research Agency (10.13039/501100011033), the Spanish Ministry of Science and Innovation and the European Social Fund “Investing in your future” through the “Ramón y Cajal” fellowship (RYC-2017-22300). The authors thank Prof. Aldo Fiori his comments on the paper.

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