GAS PERMEABILITY IN POROUS MEDIA WITH ROUGH SURFACES BY FRACTAL-MONTE CARLO SIMULATIONS

Zuozhuang Yin, Siliang Duan, Xiuya Guo, Huili Wang, Ruijuan Chen and Qian Zheng
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Zuozhuang Yin: School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, P. R. China†Research Center for Applied Mathematics and Interdisciplinary Sciences, Wuhan Textile University, Wuhan 430073, P. R. China
Siliang Duan: ��School of Economics, Hefei University of Technology, Hefei 230009, P. R. China
Xiuya Guo: School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, P. R. China†Research Center for Applied Mathematics and Interdisciplinary Sciences, Wuhan Textile University, Wuhan 430073, P. R. China
Huili Wang: School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, P. R. China†Research Center for Applied Mathematics and Interdisciplinary Sciences, Wuhan Textile University, Wuhan 430073, P. R. China
Ruijuan Chen: School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, P. R. China†Research Center for Applied Mathematics and Interdisciplinary Sciences, Wuhan Textile University, Wuhan 430073, P. R. China
Qian Zheng: School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, P. R. China†Research Center for Applied Mathematics and Interdisciplinary Sciences, Wuhan Textile University, Wuhan 430073, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 08, 1-10

Abstract: Gas permeability is an important parameter for gas transport in microporous and nanoporous media. A probability model of gas permeability of fractal porous media with rough surfaces is proposed and numerically simulated by the Monte Carlo technique. This model consists of two gas flow mechanisms: the Poiseuille flow and the Knudsen flow, and can be expressed by structural parameters, such as the pore fractal dimension, the tortuosity fractal dimension, the relative roughness and porosity. The validity of the proposed model is investigated through the available experimental data, and a good agreement is obtained. The predicted results indicate that gas permeability of microporous and nanoporous media with rough surfaces decreases with the increase of the relative roughness and the tortuosity fractal dimension, and increases with the increase of porosity and the pore fractal dimension. Our gas permeability model could reveal the physical mechanisms of gas transport in porous media with rough surfaces.

Keywords: Fractal; Gas Permeability; Roughness; Porous Media (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23401680

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