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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Autores principales: Shuaishuai Wei, Kun Wang, Huan Zhang, Junming Zhang, Jincheng Wei, Wenyang Han, Lei Niu
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/21e96090b393461394c2dbdcc1db7944
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic 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
spellingShingle 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
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