On Full-Tensor Permeabilities of Porous Media from Numerical Solutions of the Navier-Stokes Equation
A numerical method is proposed to compute full-tensor permeability of porous media without artificial simplification. Navier-Stokes (N-S) equation and Darcy's law are combined to design these numerical experiments. This method can successfully detect the permeability values in principle directi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2013-01-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1155/2013/137086 |
| _version_ | 1818354895691972608 |
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| author | Yi Wang Shuyu Sun Bo Yu |
| author_facet | Yi Wang Shuyu Sun Bo Yu |
| author_sort | Yi Wang |
| collection | DOAJ |
| description | A numerical method is proposed to compute full-tensor permeability of porous media without artificial simplification. Navier-Stokes (N-S) equation and Darcy's law are combined to design these numerical experiments. This method can successfully detect the permeability values in principle directions of the porous media and the anisotropic degrees. It is found that the same configuration of porous media may possess isotropic features at lower Reynolds numbers while manifesting anisotropic features at higher Reynolds numbers due to the nonlinearity from convection. Anisotropy becomes pronounced especially when convection is dominant. |
| first_indexed | 2024-12-13T19:32:42Z |
| format | Article |
| id | doaj.art-ebfa52291e4649a8bcc13896df015824 |
| institution | Directory Open Access Journal |
| issn | 1687-8132 |
| language | English |
| last_indexed | 2024-12-13T19:32:42Z |
| publishDate | 2013-01-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-ebfa52291e4649a8bcc13896df0158242022-12-21T23:33:54ZengSAGE PublishingAdvances in Mechanical Engineering1687-81322013-01-01510.1155/2013/13708610.1155_2013/137086On Full-Tensor Permeabilities of Porous Media from Numerical Solutions of the Navier-Stokes EquationYi Wang0Shuyu Sun1Bo Yu2 Computational Transport Phenomena Laboratory, Division of Physical Science and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia Computational Transport Phenomena Laboratory, Division of Physical Science and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia National Engineering Laboratory for Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing 102249, ChinaA numerical method is proposed to compute full-tensor permeability of porous media without artificial simplification. Navier-Stokes (N-S) equation and Darcy's law are combined to design these numerical experiments. This method can successfully detect the permeability values in principle directions of the porous media and the anisotropic degrees. It is found that the same configuration of porous media may possess isotropic features at lower Reynolds numbers while manifesting anisotropic features at higher Reynolds numbers due to the nonlinearity from convection. Anisotropy becomes pronounced especially when convection is dominant.https://doi.org/10.1155/2013/137086 |
| spellingShingle | Yi Wang Shuyu Sun Bo Yu On Full-Tensor Permeabilities of Porous Media from Numerical Solutions of the Navier-Stokes Equation Advances in Mechanical Engineering |
| title | On Full-Tensor Permeabilities of Porous Media from Numerical Solutions of the Navier-Stokes Equation |
| title_full | On Full-Tensor Permeabilities of Porous Media from Numerical Solutions of the Navier-Stokes Equation |
| title_fullStr | On Full-Tensor Permeabilities of Porous Media from Numerical Solutions of the Navier-Stokes Equation |
| title_full_unstemmed | On Full-Tensor Permeabilities of Porous Media from Numerical Solutions of the Navier-Stokes Equation |
| title_short | On Full-Tensor Permeabilities of Porous Media from Numerical Solutions of the Navier-Stokes Equation |
| title_sort | on full tensor permeabilities of porous media from numerical solutions of the navier stokes equation |
| url | https://doi.org/10.1155/2013/137086 |
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