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An Analytical Flow Model for Heterogeneous Multi-Fractured Systems in Shale Gas Reservoirs

Author

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  • Honghua Tao

    (State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China
    John and Willie Leone Family Department of Energy and Mineral Engineering, The Pennsylvania State University, University Park, PA 16802, USA
    Key Laboratory of Shale Gas Exploration, Ministry of Land and Resources Engineering, Chongqing 400042, China)

  • Liehui Zhang

    (State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China)

  • Qiguo Liu

    (State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China)

  • Qi Deng

    (State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China)

  • Man Luo

    (Petro China West Pipeline Company, Urumqi 830013, China)

  • Yulong Zhao

    (State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China)

Abstract

The use of multiple hydraulically fractured horizontal wells has been proven to be an efficient and effective way to enable shale gas production. Meanwhile, analytical models represent a rapid evaluation method that has been developed to investigate the pressure-transient behaviors in shale gas reservoirs. Furthermore, fractal-anomalous diffusion, which describes a sub-diffusion process by a non-linear relationship with time and cannot be represented by Darcy’s law, has been noticed in heterogeneous porous media. In order to describe the pressure-transient behaviors in shale gas reservoirs more accurately, an improved analytical model based on the fractal-anomalous diffusion is established. Various diffusions in the shale matrix, pressure-dependent permeability, fractal geometry features, and anomalous diffusion in the stimulated reservoir volume region are considered. Type curves of pressure and pressure derivatives are plotted, and the effects of anomalous diffusion and mass fractal dimension are investigated in a sensitivity analysis. The impact of anomalous diffusion is recognized as two opposite aspects in the early linear flow regime and after that period, when it changes from 1 to 0.75. The smaller mass fractal dimension, which changes from 2 to 1.8, results in more pressure and a drop in the pressure derivative.

Suggested Citation

  • Honghua Tao & Liehui Zhang & Qiguo Liu & Qi Deng & Man Luo & Yulong Zhao, 2018. "An Analytical Flow Model for Heterogeneous Multi-Fractured Systems in Shale Gas Reservoirs," Energies, MDPI, vol. 11(12), pages 1-19, December.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:12:p:3422-:d:188551
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    References listed on IDEAS

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    1. Chao Tang & Xiaofan Chen & Zhimin Du & Ping Yue & Jiabao Wei, 2018. "Numerical Simulation Study on Seepage Theory of a Multi-Section Fractured Horizontal Well in Shale Gas Reservoirs Based on Multi-Scale Flow Mechanisms," Energies, MDPI, vol. 11(9), pages 1-20, September.
    2. Mingxian Wang & Zifei Fan & Guoqiang Xing & Wenqi Zhao & Heng Song & Penghui Su, 2018. "Rate Decline Analysis for Modeling Volume Fractured Well Production in Naturally Fractured Reservoirs," Energies, MDPI, vol. 11(1), pages 1-21, January.
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    Cited by:

    1. Andrzej Rogala & Karolina Kucharska & Jan Hupka, 2019. "Shales Leaching Modelling for Prediction of Flowback Fluid Composition," Energies, MDPI, vol. 12(7), pages 1-21, April.
    2. Yan Xi & Jun Li & Gonghui Liu & Jianping Li & Jiwei Jiang, 2019. "Mechanisms and Influence of Casing Shear Deformation near the Casing Shoe, Based on MFC Surveys during Multistage Fracturing in Shale Gas Wells in Canada," Energies, MDPI, vol. 12(3), pages 1-22, January.
    3. Jianchao Cai & Zhien Zhang & Qinjun Kang & Harpreet Singh, 2019. "Recent Advances in Flow and Transport Properties of Unconventional Reservoirs," Energies, MDPI, vol. 12(10), pages 1-5, May.

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