FRACTAL PERMEABILITY MODEL FOR POWER-LAW FLUIDS IN FRACTURED POROUS MEDIA WITH ROUGH SURFACES

Boqi Xiao, Yupeng Li, Gongbo Long and Boming Yu
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Boqi Xiao: School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China
Yupeng Li: 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
Boming Yu: ��School of Physics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 06, 1-11

Abstract: A novel analytical model is derived based on fractal geometry theory to characterize the permeability of power-law fluids through fractured porous media with fractal asperities on surfaces. The proposed model is expressed as a function of structure parameters of fractured porous media, fractal dimensions for porous matrix and for fracture as well as the index n of power-law fluid behavior. The influences of these parameters on the permeability are analyzed in detail. It is found that the relationship between permeability and roughness exhibits nonlinear characteristics. A higher power-law fluid behavior index significantly affects the reduction rate of permeability with relative roughness. Moreover, permeability is sensitive to the perturbation due to the rate of aperture to length. The proposed fractal model can clearly reveal more physical mechanisms for power-law fluid in fractured porous media than the existing models. Compared with the experimental data available in the literature, the validity of model predictions is verified.

Keywords: Fractured Porous Media; Power-Law Fluids; Rough Surfaces; Fractal Theory (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22501158

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