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 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.
Main Authors: | , , , |
---|---|
Other Authors: | |
Format: | artículo biblioteca |
Language: | English |
Published: |
Elsevier
2020-12
|
Subjects: | Upscaling, Non-Fickian dispersion, Heterogeneous porous media, Time domain random walk, Continuous time random walks, Dual multirate mass transfer model, |
Online Access: | http://hdl.handle.net/10261/222934 http://dx.doi.org/10.13039/501100004837 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
dig-idaea-es-10261-222934 |
---|---|
record_format |
koha |
spelling |
dig-idaea-es-10261-2229342022-12-01T05:30:42Z Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media Gouze, Philippe Puyguiraud, Alexandre Roubinet, Delphine Dentz, Marco Ministerio de Ciencia e Innovación (España) Dentz, Marco [0000-0002-3940-282X] Upscaling Non-Fickian dispersion Heterogeneous porous media Time domain random walk Continuous time random walks Dual multirate mass transfer model 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. 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 reviewed 2020-11-16T09:41:13Z 2020-11-16T09:41:13Z 2020-12 artículo http://purl.org/coar/resource_type/c_6501 Advances in Water Resources 146: 103781 (2020) http://hdl.handle.net/10261/222934 10.1016/j.advwatres.2020.103781 http://dx.doi.org/10.13039/501100004837 en #PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-106887GB-C31 Postprint https://doi.org/10.1016/j.advwatres.2020.103781 Sí open Elsevier |
institution |
IDAEA ES |
collection |
DSpace |
country |
España |
countrycode |
ES |
component |
Bibliográfico |
access |
En linea |
databasecode |
dig-idaea-es |
tag |
biblioteca |
region |
Europa del Sur |
libraryname |
Biblioteca del IDAEA España |
language |
English |
topic |
Upscaling Non-Fickian dispersion Heterogeneous porous media Time domain random walk Continuous time random walks Dual multirate mass transfer model Upscaling Non-Fickian dispersion Heterogeneous porous media Time domain random walk Continuous time random walks Dual multirate mass transfer model |
spellingShingle |
Upscaling Non-Fickian dispersion Heterogeneous porous media Time domain random walk Continuous time random walks Dual multirate mass transfer model Upscaling Non-Fickian dispersion Heterogeneous porous media Time domain random walk Continuous time random walks Dual multirate mass transfer model Gouze, Philippe Puyguiraud, Alexandre Roubinet, Delphine Dentz, Marco Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media |
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. |
author2 |
Ministerio de Ciencia e Innovación (España) |
author_facet |
Ministerio de Ciencia e Innovación (España) Gouze, Philippe Puyguiraud, Alexandre Roubinet, Delphine Dentz, Marco |
format |
artículo |
topic_facet |
Upscaling Non-Fickian dispersion Heterogeneous porous media Time domain random walk Continuous time random walks Dual multirate mass transfer model |
author |
Gouze, Philippe Puyguiraud, Alexandre Roubinet, Delphine Dentz, Marco |
author_sort |
Gouze, Philippe |
title |
Characterization and upscaling of hydrodynamic transport in heterogeneous dual porosity media |
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 |
publisher |
Elsevier |
publishDate |
2020-12 |
url |
http://hdl.handle.net/10261/222934 http://dx.doi.org/10.13039/501100004837 |
work_keys_str_mv |
AT gouzephilippe characterizationandupscalingofhydrodynamictransportinheterogeneousdualporositymedia AT puyguiraudalexandre characterizationandupscalingofhydrodynamictransportinheterogeneousdualporositymedia AT roubinetdelphine characterizationandupscalingofhydrodynamictransportinheterogeneousdualporositymedia AT dentzmarco characterizationandupscalingofhydrodynamictransportinheterogeneousdualporositymedia |
_version_ |
1777669479900119040 |