A SEEPAGE MODEL FOR SOLID-PHASE PARTICLE INSTABILITY IN POROUS MEDIA-BASED FRACTAL THEORY

Xiao-Hua Tan, Xiao-Jun Zhou, Hai Li, Xian Peng, Long-Xin Li, Qian Li, Qiu Li and Ting-Ting Wu
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Xiao-Hua Tan: State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Xindu Road 8, Chengdu 610500, P. R. China
Xiao-Jun Zhou: State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Xindu Road 8, Chengdu 610500, P. R. China
Hai Li: ��PetroChina Southwest Oil and Gasfield Company, Fuqing Road 3, Chengdu 610056, P. R. China
Xian Peng: ��PetroChina Southwest Oil and Gasfield Company, Fuqing Road 3, Chengdu 610056, P. R. China
Long-Xin Li: ��PetroChina Southwest Oil and Gasfield Company, Fuqing Road 3, Chengdu 610056, P. R. China
Qian Li: ��PetroChina Southwest Oil and Gasfield Company, Fuqing Road 3, Chengdu 610056, P. R. China
Qiu Li: ��PetroChina Southwest Oil and Gasfield Company, Fuqing Road 3, Chengdu 610056, P. R. China
Ting-Ting Wu: ��PetroChina Southwest Oil and Gasfield Company, Fuqing Road 3, Chengdu 610056, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 08, 1-12

Abstract: This paper presents a new fractal seepage model to study the decrease in seepage capacity caused by fluid erosion and pressure changes in porous media. The normalized permeability obtained by our model is in good agreement with the experiments and models in literature and has high accuracy and usability. The results demonstrate that: (1) the larger the instability coefficient, the higher the particle stability, the better the permeability of the porous medium, the later the normalized permeability decreases, and the slower it goes down, and (2) the fractal dimension of the solid skeleton set mainly affects the porosity and permeability of porous media, independent of the stability of solid particles. (3) The fractal dimension of movable particles is one of the main factors affecting the normalized permeability, it does not affect the instability conditions solid-phase particles in the porous media. The proposed model makes full use of the microstructure parameters of porous media, further reveals the mechanism of fluid flow in porous media with particle shedding, and provides a sound theoretical basis for various practical applications in petroleum engineering and other industries.

Keywords: Porous Media; Particle Instability; Normalized Permeability; Fractal (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23401825

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