@Article{2019.100000087,
AUTHOR = {Yibo Zhao},
TITLE = {Application of Euler-Poincaré Characteristic in the Prediction of  Permeability of Porous Media},
JOURNAL = {Intelligent Automation \& Soft Computing},
VOLUME = {25},
YEAR = {2019},
NUMBER = {4},
PAGES = {835--845},
URL = {http://www.techscience.com/iasc/v25n4/39715},
ISSN = {2326-005X},
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.},
DOI = {10.31209/2019.100000087}
}