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Application of Euler-Poincaré Characteristic in the Prediction of Permeability of Porous Media


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Abstract

In this paper, a new model is proposed to predict the permeability of porous media. This model introduces the Euler-Poincarxe9 Characteristic (Euler Number), a parameter that reflects the connectivity of porous media. Using fractal and percolation theory, we establish a permeability model as a function of critical radius, porosity and Euler number. In order to relate the result to the Euler number, we introduce the Connectivity Function to calculate the critical aperture in the percolation theory, then calculate the percolation threshold value, and establish the relationship between the percolation threshold and the Euler number. The validity of the model is verified by the structural data of 12 rock samples. For selected rock samples, the proposed model results are compared with the Daigleu2019s method and LBM. The results show that the permeability values obtained by the model are consistent with the LBM experimental data and are higher than those predicted by the Daigleu2019s model.


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Pages

Total Pages: 8

DOI
10.31209/2019.100000087


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Published

Online Article

JOURNAL INFORMATION


ISSN PRINT: 1079-8587
ISSN ONLINE: 2326-005X
DOI PREFIX: 10.31209
10.1080/10798587 with T&F
IMPACT FACTOR: 0.652 (2017/2018)
Journal: 1995-Present




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