Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media
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...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/2017/4517259 |
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| author | Rebecca Allen Shuyu Sun |
| author_facet | Rebecca Allen Shuyu Sun |
| author_sort | Rebecca Allen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f558a46fe7c34487b031c4d197bb0061 |
| institution | Kabale University |
| issn | 1468-8115 1468-8123 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-f558a46fe7c34487b031c4d197bb00612025-02-03T01:12:56ZengWileyGeofluids1468-81151468-81232017-01-01201710.1155/2017/45172594517259Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous MediaRebecca Allen0Shuyu Sun1King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi ArabiaKing Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi ArabiaWe 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.http://dx.doi.org/10.1155/2017/4517259 |
| spellingShingle | Rebecca Allen Shuyu Sun Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media Geofluids |
| title | Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media |
| title_full | Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media |
| title_fullStr | Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media |
| title_full_unstemmed | Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media |
| title_short | Computing and Comparing Effective Properties for Flow and Transport in Computer-Generated Porous Media |
| title_sort | computing and comparing effective properties for flow and transport in computer generated porous media |
| url | http://dx.doi.org/10.1155/2017/4517259 |
| work_keys_str_mv | AT rebeccaallen computingandcomparingeffectivepropertiesforflowandtransportincomputergeneratedporousmedia AT shuyusun computingandcomparingeffectivepropertiesforflowandtransportincomputergeneratedporousmedia |