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Article

A Permeability Estimation Method Based on Elliptical Pore Approximation

1
Shandong Transportation Institute, Jinan 250102, China
2
College of Energy and Mining Engineering, Shandong University of Science and Technology, Qingdao 266590, China
*
Author to whom correspondence should be addressed.
Academic Editor: Maurizio Barbieri
Water 2021, 13(22), 3290; https://doi.org/10.3390/w13223290
Received: 17 September 2021 / Revised: 14 November 2021 / Accepted: 15 November 2021 / Published: 20 November 2021
(This article belongs to the Special Issue Environmental Fluid Dynamics and Modeling)
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. View Full-Text
Keywords: improved finite difference method; permeability; digital rock image; pore space approximation; grid coarsening improved finite difference method; permeability; digital rock image; pore space approximation; grid coarsening
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MDPI and ACS Style

Wei, S.; Wang, K.; Zhang, H.; Zhang, J.; Wei, J.; Han, W.; Niu, L. A Permeability Estimation Method Based on Elliptical Pore Approximation. Water 2021, 13, 3290. https://doi.org/10.3390/w13223290

AMA Style

Wei S, Wang K, Zhang H, Zhang J, Wei J, Han W, Niu L. A Permeability Estimation Method Based on Elliptical Pore Approximation. Water. 2021; 13(22):3290. https://doi.org/10.3390/w13223290

Chicago/Turabian Style

Wei, Shuaishuai, Kun Wang, Huan Zhang, Junming Zhang, Jincheng Wei, Wenyang Han, and Lei Niu. 2021. "A Permeability Estimation Method Based on Elliptical Pore Approximation" Water 13, no. 22: 3290. https://doi.org/10.3390/w13223290

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