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

被引：0
|
作者：
Yin, Zuozhuang [1 ,2 ]
Duan, Siliang [3 ]
Guo, Xiuya [1 ,2 ]
Wang, Huili [1 ,2 ]
Chen, Ruijuan [1 ,2 ]
Zheng, Qian [1 ,2 ]
机构：
[1] Wuhan Text Univ, Sch Math & Phys Sci, Wuhan 430073, Peoples R China
[2] Wuhan Text Univ, Res Ctr Appl Math & Interdisciplinary Sci, Wuhan 430073, Peoples R China
[3] Hefei Univ Technol, Sch Econ, Hefei 230009, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Fractal; Gas Permeability; Roughness; Porous Media; KOZENY-CARMAN CONSTANT; LAMINAR-FLOW; SLIP-FLOW; MODEL; RESERVOIRS; DIFFUSION;
D O I：
10.1142/S0218348X23401680
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：10
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