Binomial apparent permeability formula based on multiple migration mechanism of shale gas

doi:10.3969/j.issn.1006-6535.2021.03.011

Abstract

Abstract: The binomial formula of apparent permeability and average pressure reciprocal based on multiple migration mechanisms of shale gas was obtained by using theoretical derivation combined with experimental data analysis to address the problem that the poor matching between the apparent permeability formula of shale gas and the experimental data fails to well reflect the multiple migration mechanisms of shale gas such as viscous flow, slip flow, Knudsen diffusion and surface diffusion. This formula took into account the change of the velocity gradient with the distance of the pore wall and the apparent permeability of surface diffusion related to the square of pressure reciprocal. The study results were applied to analyzing the apparent permeability test data of shale gas, and the results showed that the change of velocity gradient led to negative curvature in the relationship curve between apparent permeability and average pressure reciprocal, and surface diffusion led to positive curvature. The binomial parameters a and b were obtained based on curve regression to calculate the apparent permeability and surface diffusion coefficient caused by surface diffusion. The study results explained the existing experimental data more effectively, with great significance for studying the multiple migration mechanism of shale gas and analyzing the development performance.

Key words: shale gas, multiple migration mechanisms, apparent permeability, binomial formula, surface diffusion

CLC Number:

TE349

Yuan Yingzhong, Yan Wende, Qi Zhilin, Li Jiqiang, Huang Xiaoliang. Binomial apparent permeability formula based on multiple migration mechanism of shale gas[J]. Special Oil & Gas Reservoirs, 2021, 28(3): 76-80.

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