Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media

Handle URI:
http://hdl.handle.net/10754/622996
Title:
Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media
Authors:
Allen, Rebecca; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
We compute effective properties (i.e., permeability, hydraulic tortuosity, and diffusive tortuosity) of three different digital porous media samples, including in-line array of uniform shapes, staggered-array of squares, and randomly distributed squares. The permeability and hydraulic tortuosity are computed by solving a set of rescaled Stokes equations obtained by homogenization, and the diffusive tortuosity is computed by solving a homogenization problem given for the effective diffusion coefficient that is inversely related to diffusive tortuosity. We find that hydraulic and diffusive tortuosity can be quantitatively different by up to a factor of ten in the same pore geometry, which indicates that these tortuosity terms cannot be used interchangeably. We also find that when a pore geometry is characterized by an anisotropic permeability, the diffusive tortuosity (and correspondingly the effective diffusion coefficient) can also be anisotropic. This finding has important implications for reservoir-scale modeling of flow and transport, as it is more realistic to account for the anisotropy of both the permeability and the effective diffusion coefficient.
KAUST Department:
King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia
Citation:
Allen R, Sun S (2017) Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media. Geofluids 2017: 1–24. Available: http://dx.doi.org/10.1155/2017/4517259.
Publisher:
Hindawi Publishing Corporation
Journal:
Geofluids
Issue Date:
13-Feb-2017
DOI:
10.1155/2017/4517259
Type:
Article
ISSN:
1468-8115; 1468-8123
Sponsors:
The authors gratefully acknowledge that the research reported in this publication was supported by funding from King Abdullah University of Science and Technology (KAUST). The authors gratefully acknowledge and thank Dr. Francisco J. Valdés-Parada for providing the diffusive tortuosity results for in-line array of circle and square geometries, which were used for comparison in Figure 6 with permission.
Additional Links:
https://www.hindawi.com/journals/geofluids/2017/4517259/
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorAllen, Rebeccaen
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2017-03-15T07:15:27Z-
dc.date.available2017-03-15T07:15:27Z-
dc.date.issued2017-02-13en
dc.identifier.citationAllen R, Sun S (2017) Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media. Geofluids 2017: 1–24. Available: http://dx.doi.org/10.1155/2017/4517259.en
dc.identifier.issn1468-8115en
dc.identifier.issn1468-8123en
dc.identifier.doi10.1155/2017/4517259en
dc.identifier.urihttp://hdl.handle.net/10754/622996-
dc.description.abstractWe compute effective properties (i.e., permeability, hydraulic tortuosity, and diffusive tortuosity) of three different digital porous media samples, including in-line array of uniform shapes, staggered-array of squares, and randomly distributed squares. The permeability and hydraulic tortuosity are computed by solving a set of rescaled Stokes equations obtained by homogenization, and the diffusive tortuosity is computed by solving a homogenization problem given for the effective diffusion coefficient that is inversely related to diffusive tortuosity. We find that hydraulic and diffusive tortuosity can be quantitatively different by up to a factor of ten in the same pore geometry, which indicates that these tortuosity terms cannot be used interchangeably. We also find that when a pore geometry is characterized by an anisotropic permeability, the diffusive tortuosity (and correspondingly the effective diffusion coefficient) can also be anisotropic. This finding has important implications for reservoir-scale modeling of flow and transport, as it is more realistic to account for the anisotropy of both the permeability and the effective diffusion coefficient.en
dc.description.sponsorshipThe authors gratefully acknowledge that the research reported in this publication was supported by funding from King Abdullah University of Science and Technology (KAUST). The authors gratefully acknowledge and thank Dr. Francisco J. Valdés-Parada for providing the diffusive tortuosity results for in-line array of circle and square geometries, which were used for comparison in Figure 6 with permission.en
dc.publisherHindawi Publishing Corporationen
dc.relation.urlhttps://www.hindawi.com/journals/geofluids/2017/4517259/en
dc.rightsThis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleComputing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Mediaen
dc.typeArticleen
dc.contributor.departmentKing Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabiaen
dc.identifier.journalGeofluidsen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorAllen, Rebeccaen
kaust.authorSun, Shuyuen
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