A FRACTAL MODEL FOR RELATIVE PERMEABILITY IN SHALE WITH TREE-LIKE BRANCHING FRACTURE NETWORK

Boqi Xiao, Yanbin Wang, Lei Chen, Gongbo Long, Wenjie Chen, Ruotong Lv, Yifan Gong, Yu Yang and Yongjun Xiao
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Boqi Xiao: 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. China2Hubei Provincial Engineering Technology Research, Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Yanbin Wang: 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. China2Hubei Provincial Engineering Technology Research, Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Lei Chen: 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. China2Hubei Provincial Engineering Technology Research, Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Gongbo Long: 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. China2Hubei Provincial Engineering Technology Research, Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Wenjie Chen: 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. China2Hubei Provincial Engineering Technology Research, Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Ruotong Lv: 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. China2Hubei Provincial Engineering Technology Research, Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Yifan Gong: 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. China2Hubei Provincial Engineering Technology Research, Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Yu Yang: 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. China2Hubei Provincial Engineering Technology Research, Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Yongjun Xiao: College of Physics and Electronic Information Engineering, Hubei Engineering University, Xiaogan 432000, P. R. China

FRACTALS (fractals), 2025, vol. 33, issue 07, 1-13

Abstract: The gas–liquid two-phase flow is often caused by pressure difference and seepage, and there are also various fracture channels in shale. The multiphase flow characteristics in the shale matrix are affected by the fracture network, and the multiphase flow characteristics in the fracture network are also affected by the shale matrix. Relative permeability is an important parameter characterizing the multiscale macroscopic multiphase flow characteristics in shale. However, there are a few studies on the influences of matrix and fracture networks on the relative permeability in shale. This study establishes a fractal model for relative permeability in shale with tree-like fracture network and investigates the influences of shale matrix and fracture parameters on the relative permeability by using the proposed model. The reliability of the model is verified by comparing the results obtained by the model with those obtained by existing models. The results indicate that the fractal dimension of the pore size in shale matrix, the ratio of capillary pore size, along with the geometric parameters (length ratio, diameter ratio, number of bifurcation and fractal dimension of the pore size) in fracture have a significant impact on the relative permeability in shale with tree-like branching fracture network. The effect is more significant at high saturation. This study has important application prospects for the accurate evaluation of multiphase flow characteristics in shale reservoirs.

Keywords: Shale; Fractal; Relative Permeability; Fracture Network; Multiphase Flow (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25500549

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