Study of gas slippage factor in anisotropic porous media using the lattice Boltzmann method

In unconventional reservoir rocks, pore anisotropy and gas high Knudsen number ( K n) effect are prominent, while gas slippage factor is a crucial parameter to evaluate their apparent permeability. To analyze the correlation of gas slippage factor with pore anisotropy of porous media and K n, two-di...

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Bibliographic Details
Published in:Computational geosciences 2021-02, Vol.25 (1), p.179-189
Main Authors: Li, Tao, Hu, Yong, Li, Qian, Peng, Xian, Li, Min
Format: Article
Language:English
Subjects:
Anisotropy
Boundary conditions
Computational fluid dynamics
Correlation analysis
Earth and Environmental Science
Earth Sciences
Geotechnical Engineering & Applied Earth Sciences
Hydrogeology
Mathematical Modeling and Industrial Mathematics
Membrane permeability
Original Paper
Permeability
Porosity
Porous media
Soil Science & Conservation
Two dimensional models
Viscosity
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Summary:In unconventional reservoir rocks, pore anisotropy and gas high Knudsen number ( K n) effect are prominent, while gas slippage factor is a crucial parameter to evaluate their apparent permeability. To analyze the correlation of gas slippage factor with pore anisotropy of porous media and K n, two-dimensional bundle models and anisotropic porous media with same characteristic length were skillfully constructed in this work. A multi-relaxation-time Lattice Boltzmann model combining diffusive reflection boundary condition and Bosanquet-type viscosity model was applied to simulate gas high- K n flow ( K n = 0.05–0.53) in them. The results showed that K n and pore-scale anisotropy jointly determine gas slippage factor of anisotropic porous media, which has nothing to do with porosity, specific surface area, and intrinsic permeability in nature. Pore-scale anisotropy leads to the distinct nonlinear changes of gas slippage factor with K n. When pore-scale anisotropy factor is between 5.37 and 14.58, gas slippage factor of porous media is positively correlated with K n. But as pore-scale anisotropy factor is in a range from 1.0 to 5.37, gas slippage factor decreases with an increase of K n. In addition, gas slippage factor of porous media increases with an increase of pore-scale anisotropy as K n is in a range of 0.18 to 0.53. This work further improves the understanding of gas slippage factor and gas high- K n effect in anisotropic porous media.
ISSN:1420-0597
1573-1499
DOI:10.1007/s10596-020-09997-8