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A novel Monte Carlo simulation on gas flow in fractal shale reservoir

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  • Yang, Jinghua
  • Wang, Min
  • Wu, Lei
  • Liu, Yanwei
  • Qiu, Shuxia
  • Xu, Peng

Abstract

The apparent gas permeability (AGP) is one of the key parameters in shale gas exploitation, which is difficult to determine due to the mutliscale structure of shale formation. In this paper, a fractal probability law and Monte Carlo technique are used to predict the rarefied gas flow through shale reservoir, since from the adsorption-desorption experiments it is known that the distribution of pore size follows the fractal scaling law. The results indicate that the AGP increases with the increment of Knudsen number, and it grows linearly with Knudsen number when Knudsen number is larger than 0.1. When the porosity is fixed, increased pore fractal dimension reduces the AGP and the intrinsic permeability, but enhances the permeability ratio (ratio of AGP to intrinsic permeability). However, when the pore size limit is fixed, the permeability ratio can be reduced by increasing pore fractal dimension. While the increment of tortuosity fractal dimension can lower both AGP and intrinsic permeability, it has marginal effect on the permeability ratio. The proposed fractal Monte Carlo model is an efficient and economic method to predict the AGP, which bridges the microscale structures and macroscale gas flow properties of shale reservoir.

Suggested Citation

  • Yang, Jinghua & Wang, Min & Wu, Lei & Liu, Yanwei & Qiu, Shuxia & Xu, Peng, 2021. "A novel Monte Carlo simulation on gas flow in fractal shale reservoir," Energy, Elsevier, vol. 236(C).
    • Handle: RePEc:eee:energy:v:236:y:2021:i:c:s0360544221017618
    DOI: 10.1016/j.energy.2021.121513
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    References listed on IDEAS

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    Citations

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    Cited by:

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    5. Tian, Feng & Wang, Junlei & Xu, Zhenhua & Xiong, Fansheng & Xia, Peng, 2023. "A nonlinear model of multifractured horizontal wells in heterogeneous gas reservoirs considering the effect of stress sensitivity," Energy, Elsevier, vol. 263(PD).
    6. Qin, Lei & Wang, Ping & Lin, Haifei & Li, Shugang & Zhou, Bin & Bai, Yang & Yan, Dongjie & Ma, Chao, 2023. "Quantitative characterization of the pore volume fractal dimensions for three kinds of liquid nitrogen frozen coal and its enlightenment to coalbed methane exploitation," Energy, Elsevier, vol. 263(PA).
    7. Tian, Xin & Duan, Xianggang & Sun, Mengdi & Mohammadian, Erfan & Hu, Qinhong & Ostadhassan, Mehdi & Liu, Bo & Ke, Yubin & Pan, Zhejun, 2024. "Evolution of fractal characteristics in shales with increasing thermal maturity: Evidence from neutron scattering, N2 physisorption, and FE-SEM imaging," Energy, Elsevier, vol. 298(C).
    8. Li, Jing & Xie, Yetong & Liu, Huimin & Zhang, Xuecai & Li, Chuanhua & Zhang, Lisong, 2023. "Combining macro and micro experiments to reveal the real-time evolution of permeability of shale," Energy, Elsevier, vol. 262(PB).

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