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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MDPI AG
2021
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oai:doaj.org-article:21e96090b393461394c2dbdcc1db79442021-11-25T19:16:27ZA Permeability Estimation Method Based on Elliptical Pore Approximation10.3390/w132232902073-4441https://doaj.org/article/21e96090b393461394c2dbdcc1db79442021-11-01T00:00:00Zhttps://www.mdpi.com/2073-4441/13/22/3290https://doaj.org/toc/2073-4441Digital 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.Shuaishuai WeiKun WangHuan ZhangJunming ZhangJincheng WeiWenyang HanLei NiuMDPI AGarticleimproved finite difference methodpermeabilitydigital rock imagepore space approximationgrid coarseningHydraulic engineeringTC1-978Water supply for domestic and industrial purposesTD201-500ENWater, Vol 13, Iss 3290, p 3290 (2021) |
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improved finite difference method permeability digital rock image pore space approximation grid coarsening Hydraulic engineering TC1-978 Water supply for domestic and industrial purposes TD201-500 |
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improved finite difference method permeability digital rock image pore space approximation grid coarsening Hydraulic engineering TC1-978 Water supply for domestic and industrial purposes TD201-500 Shuaishuai Wei Kun Wang Huan Zhang Junming Zhang Jincheng Wei Wenyang Han Lei Niu A Permeability Estimation Method Based on Elliptical Pore Approximation |
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. |
format |
article |
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 |
title |
A Permeability Estimation Method Based on Elliptical Pore Approximation |
title_short |
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_sort |
permeability estimation method based on elliptical pore approximation |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/21e96090b393461394c2dbdcc1db7944 |
work_keys_str_mv |
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