A Permeability Estimation Method Based on Elliptical Pore Approximation
| Autor: | Wenyang Han, Shuaishuai Wei, Junming Zhang, Kun Wang, Huan Zhang, Jincheng Wei, Lei Niu |
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| Rok vydání: | 2021 |
| Předmět: |
Laboratory methods
Materials science Water supply for domestic and industrial purposes Implicit function Geography Planning and Development Flow (psychology) Finite difference method Characterisation of pore space in soil improved finite difference method Hydraulic engineering Mechanics grid coarsening Aquatic Science Biochemistry pore space approximation Permeability (earth sciences) digital rock image permeability TC1-978 Porous medium TD201-500 Water Science and Technology |
| Zdroj: | Water, Vol 13, Iss 3290, p 3290 (2021) Water Volume 13 Issue 22 |
| ISSN: | 2073-4441 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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