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Establishment And Application Of Fractal Capillary Tube Bundle Model Of Porous Media, Zhonghua Liu, Jianing Shen, Qianhua Xiao, Zhongpei Ding, Shunpeng Zeng, Baojun Bai

Geosciences and Geological and Petroleum Engineering Faculty Research & Creative Works

In view of the problem of statistical regression constant in the model of capillary tube bundles in the porous media, a capillary bundle percolation model with fractal geometry was reconstructed. The function expressions of the fractal coefficient and Kozeny constant were deduced. The relationship between the macroscopic fractal properties of porous media and the fractal dimension and the micro pore parameters were obtained. Results show: Fractal coefficient is a function of fractal dimension, maximum pore radius and minimum pore radius; The macroscopic physical properties of porous media are a function of the fractal dimension and the radius of the capillary …