Establishment and application of fractal capillary tube bundle model of porous media

• Published in: IOP conference series. Earth and environmental science Vol. 189; no. 3; pp. 32071 - 32076
• Main Authors: Liu, Zhonghua, Shen, Jianing, Xiao, Qianhua, Ding, Zhongpei, Zeng, Shunpeng, Bai, Baojun
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.11.2018
• Subjects: Capillary tubes; Coefficients; Diameters; Fractal geometry; Fractal models; Fractals; Media; Percolation; Physical properties; Porous media; Regression models; Statistical analysis
• ISSN: 1755-1307; 1755-1315; 1755-1315
• DOI: 10.1088/1755-1315/189/3/032071

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 (the maximum capillary radius and the minimum capillary radius). The expression does not contain any empirical or experimental constants. In the fractal capillary percolation model, the relationship between the three kinds of surface volume, skeleton volume and pore volume are the same as the traditional equal diameter straight capillary bundle model. The Kozeny constant can be accurately described by the function expression of the z-h coefficient, which is used for correcting the difference between real and ideal porous media model.