A FRACTAL MODEL FOR ELECTRICAL CONDUCTIVITY OF POROUS MEDIA EMBEDDED WITH A DAMAGED TREE-LIKE NETWORK

Peilong Wang, Boqi Xiao, Yidan Zhang, Huaizhi Zhu, Guoying Zhang, Gongbo Long and Yanbin Wang
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Peilong Wang: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Boqi Xiao: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China†Hubei Provincial Key Laboratory of Chemical, Equipment Intensification and Intrinsic Safety, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China‡Hubei Provincial Engineering Technology Research, Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Yidan Zhang: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Huaizhi Zhu: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Guoying Zhang: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Gongbo Long: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Yanbin Wang: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 09, 1-13

Abstract: Predicting the electrical conductivity of porous media is important for oil reservoirs, rock physics, and fuel cells. In this work, a cuboid embedded with a damaged tree-like network is employed to denote a portion of porous media. Analytical expressions for the electrical conductivity are then derived with the fractal theory. Various structural parameters have been examined in detail for the influence of electrical conductivity. It is found that the increased number of damaged channels means more difficult ion migration and lower electrical conductivity of porous media. In addition, a decreasing length ratio or an increasing diameter ratio will increase electrical conductivity. Moreover, both the channel distribution fractal dimension and tortuosity fractal dimension result in a decrease in electrical conductivity. A comparison of the results predicted by other models yields a good agreement, validating our proposed model. These results may further interpret the transport properties of porous media.

Keywords: Damage; Electrical Conductivity; Tree-Like Network; Fractal (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23501037

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