PREDICTING THE ELECTRICAL CONDUCTIVITY OF DUAL-POROSITY MEDIA WITH FRACTAL THEORY

Huaizhi Zhu, Jun Gao, Boqi Xiao, Yidan Zhang, Yanbin Wang, Peilong Wang, Biliang Tu and Gongbo Long
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Huaizhi Zhu: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Jun Gao: ��School of Mechanical and Electrical Engineering, Wuhan Business University, Wuhan 430056, 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
Yanbin Wang: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Peilong Wang: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Biliang Tu: 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‡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

FRACTALS (fractals), 2023, vol. 31, issue 09, 1-14

Abstract: The microspatial structure of porous media affects the electrical properties of reservoir rocks significantly. In this work, a dual-porosity model is established to investigate the electrical properties of porous media, in which tree-like networks and capillary channels represent fractures and pores. By using fractal theory, we established an analytical equation for the conductivity of water-saturated dual-porosity media. The analytical equation, devoid of any empirical constants, expresses the electrical properties of the porous media as a function of some structural parameters (Dg, Df, Dτ, α, β, m, N, 𠜃, ∂, Γ, l0, d0). We also examine the impact of various matrix structural parameters on conductivity. It is found that increasing the length of mother channel (l0), length ratio (α), the number of branching layers (m), and tortuosity fractal dimension (Dτ) leads to a decrease in conductivity, whereas increasing the diameter of mother channel (d0), diameter ratio (β), the cross-sectional porosity (φg, φf), and the channel bifurcation number (N) enhances conductivity. Furthermore, we validated this analytical model by comparing it with the experimental data available, and the results demonstrate good agreement. This research has proposed an advanced conductivity model that enables us to better understand the underlying physical mechanisms of the electrical properties in porous media.

Keywords: Electrical Conductivity; Dual-Porosity; Tree-Like Networks; Fracture (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23501311

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