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Control mechanisms of self-affine, rough cleat networks on flow dynamics in coal reservoir

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  • Jin, Yi
  • Zheng, Junling
  • Liu, Xianhe
  • Pan, Jienan
  • Liu, Shunxi

Abstract

Cleat networks dominate the migration of coalbed methane (CBM), which is assembled by cleats of different type following special configuration and possessing rough, self-affine surfaces. Nowadays, configuration implications, scale-invariant properties, fractal control mechanisms, and their relations to flow dynamics have not yet been fully clarified. Herein we explore these issues numerically using effective modeling of cleat networks and pore-scale simulations of fluid flow through them. Firstly, the control mechanics of fractal dynamics was clarified by fractal topography theory, a new definition of Weierstrass-Mandelbrot (W-M) function was proposed to characterize the self-affine surface geometries, an algorithm was developed to effectively construct cleat networks similar in coal, and Lattice Boltzmann method (LBM) was used to reproduce the fluid flow in numerical cleat networks at the pore scale. Afterwards, the implications of spatial configuration of cleats and fractal control mechanisms of surface geometries on the permeability were systematically analyzed and quantified. Finally, an empirical model was established to predict the permeability of self-affine, rough cleat networks, rather than a rough estimation by a power-law proportionality in previous research. The performance of the proposed model was fully verified by comparative analysis and numerical simulations. Theoretical analysis denotes that our model can generalize several traditional and newly developed models from the literature.

Suggested Citation

  • Jin, Yi & Zheng, Junling & Liu, Xianhe & Pan, Jienan & Liu, Shunxi, 2019. "Control mechanisms of self-affine, rough cleat networks on flow dynamics in coal reservoir," Energy, Elsevier, vol. 189(C).
    • Handle: RePEc:eee:energy:v:189:y:2019:i:c:s0360544219318419
    DOI: 10.1016/j.energy.2019.116146
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    References listed on IDEAS

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    1. Luo, Feng & Xu, Rui-Na & Jiang, Pei-Xue, 2014. "Numerical investigation of fluid flow and heat transfer in a doublet enhanced geothermal system with CO2 as the working fluid (CO2–EGS)," Energy, Elsevier, vol. 64(C), pages 307-322.
    2. Perera, M.S.A. & Ranjith, P.G. & Choi, S.K. & Airey, D., 2011. "The effects of sub-critical and super-critical carbon dioxide adsorption-induced coal matrix swelling on the permeability of naturally fractured black coal," Energy, Elsevier, vol. 36(11), pages 6442-6450.
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    Cited by:

    1. Qingzhong Zhu & Yanhui Yang & Xueying Zhang & Sanshuai Wang & Jinzhao Yang & Jiyuan Zhang, 2022. "Pore-Scale Simulation of Gas and Water Two-Phase Flow in Rough-Walled Fractures Using the Volume of Fluid Method," Energies, MDPI, vol. 15(24), pages 1-15, December.
    2. Yan, Min & Zhou, Ming & Li, Shugang & Lin, Haifei & Zhang, Kunyin & Zhang, Binbin & Shu, Chi-Min, 2021. "Numerical investigation on the influence of micropore structure characteristics on gas seepage in coal with lattice Boltzmann method," Energy, Elsevier, vol. 230(C).
    3. Niu, Qinghe & Wang, Qizhi & Wang, Wei & Chang, Jiangfang & Chen, Mingyi & Wang, Haichao & Cai, Nian & Fan, Li, 2022. "Responses of multi-scale microstructures, physical-mechanical and hydraulic characteristics of roof rocks caused by the supercritical CO2-water-rock reaction," Energy, Elsevier, vol. 238(PB).

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