A Permeability Estimation Method Based on Elliptical Pore Approximation
Digital rock images may capture more detailed pore structure than the traditional laboratory methods. No explicit function can correlate permeability accurately for flow within the pore space. This has motivated researchers to predict permeability through the application of numerical techniques, e.g...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Water |
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| Online Access: | https://www.mdpi.com/2073-4441/13/22/3290 |
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| author | Shuaishuai Wei Kun Wang Huan Zhang Junming Zhang Jincheng Wei Wenyang Han Lei Niu |
| author_facet | Shuaishuai Wei Kun Wang Huan Zhang Junming Zhang Jincheng Wei Wenyang Han Lei Niu |
| author_sort | Shuaishuai Wei |
| collection | DOAJ |
| description | Digital rock images may capture more detailed pore structure than the traditional laboratory methods. No explicit function can correlate permeability accurately for flow within the pore space. This has motivated researchers to predict permeability through the application of numerical techniques, e.g., using the finite difference method (FDM). However, in order to get better permeability calculation results, the grid refinement was needed for the traditional FDM and the accuracy of the traditional method decreased in pores with elongated cross sections. The goal of this study is to develop an improved FDM (IFDM) to calculate the permeabilities of digital rock images with complex pore space. An elliptical pore approximation method is invoked to describe the complex pore space. The permeabilities of four types of idealized porous media are calculated by IFDM. The calculated results are in sound agreement with the analytical solutions or semi-empirical solutions. What’s more, the permeabilities of the digital rock images after grid coarsening are calculated by IFDM in three orthogonal directions. These results are compared with the previously validated lattice-Boltzmann method (LBM), which indicates that the predicted permeabilities calculated by IFDM usually agree with permeabilities calculated by LBM. We conclude that the presented IFDM is suitable for complex pore space. |
| first_indexed | 2024-03-10T04:57:54Z |
| format | Article |
| id | doaj.art-21e96090b393461394c2dbdcc1db7944 |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-10T04:57:54Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-21e96090b393461394c2dbdcc1db79442023-11-23T02:01:38ZengMDPI AGWater2073-44412021-11-011322329010.3390/w13223290A Permeability Estimation Method Based on Elliptical Pore ApproximationShuaishuai Wei0Kun Wang1Huan Zhang2Junming Zhang3Jincheng Wei4Wenyang Han5Lei Niu6Shandong Transportation Institute, Jinan 250102, ChinaCollege of Energy and Mining Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaShandong Transportation Institute, Jinan 250102, ChinaCollege of Energy and Mining Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaShandong Transportation Institute, Jinan 250102, ChinaShandong Transportation Institute, Jinan 250102, ChinaShandong Transportation Institute, Jinan 250102, ChinaDigital rock images may capture more detailed pore structure than the traditional laboratory methods. No explicit function can correlate permeability accurately for flow within the pore space. This has motivated researchers to predict permeability through the application of numerical techniques, e.g., using the finite difference method (FDM). However, in order to get better permeability calculation results, the grid refinement was needed for the traditional FDM and the accuracy of the traditional method decreased in pores with elongated cross sections. The goal of this study is to develop an improved FDM (IFDM) to calculate the permeabilities of digital rock images with complex pore space. An elliptical pore approximation method is invoked to describe the complex pore space. The permeabilities of four types of idealized porous media are calculated by IFDM. The calculated results are in sound agreement with the analytical solutions or semi-empirical solutions. What’s more, the permeabilities of the digital rock images after grid coarsening are calculated by IFDM in three orthogonal directions. These results are compared with the previously validated lattice-Boltzmann method (LBM), which indicates that the predicted permeabilities calculated by IFDM usually agree with permeabilities calculated by LBM. We conclude that the presented IFDM is suitable for complex pore space.https://www.mdpi.com/2073-4441/13/22/3290improved finite difference methodpermeabilitydigital rock imagepore space approximationgrid coarsening |
| spellingShingle | Shuaishuai Wei Kun Wang Huan Zhang Junming Zhang Jincheng Wei Wenyang Han Lei Niu A Permeability Estimation Method Based on Elliptical Pore Approximation Water improved finite difference method permeability digital rock image pore space approximation grid coarsening |
| title | A Permeability Estimation Method Based on Elliptical Pore Approximation |
| title_full | A Permeability Estimation Method Based on Elliptical Pore Approximation |
| title_fullStr | A Permeability Estimation Method Based on Elliptical Pore Approximation |
| title_full_unstemmed | A Permeability Estimation Method Based on Elliptical Pore Approximation |
| title_short | A Permeability Estimation Method Based on Elliptical Pore Approximation |
| title_sort | permeability estimation method based on elliptical pore approximation |
| topic | improved finite difference method permeability digital rock image pore space approximation grid coarsening |
| url | https://www.mdpi.com/2073-4441/13/22/3290 |
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