Open Access
ARTICLE
Application of Euler-Poincaré Characteristic in the Prediction of Permeability of Porous Media
Yibo Zhao1,2
1 School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China
2 School of Data and Computer Science, Shandong Women’s University, Jinan, Shandong, 250300, China
* Corresponding Author: Yibo Zhao,
Intelligent Automation & Soft Computing 2019, 25(4), 835-845. https://doi.org/10.31209/2019.100000087
Abstract
In this paper, a new model is proposed to predict the permeability of porous
media. This model introduces the Euler-Poincaré 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 Daigle's 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 Daigle’s model.
Keywords
Cite This Article
Y. Zhao, "Application of euler-poincaré characteristic in the prediction of permeability of porous media,"
Intelligent Automation & Soft Computing, vol. 25, no.4, pp. 835–845, 2019. https://doi.org/10.31209/2019.100000087