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    ARTICLE

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

    Yibo Zhao1,2

    Intelligent Automation & Soft Computing, Vol.25, No.4, pp. 835-845, 2019, DOI: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 More >

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