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An Analytical Model for Production Analysis of Hydraulically Fractured Shale Gas Reservoirs Considering Irregular Stimulated Regions

Author

Listed:
  • Kaixuan Qiu

    (Department of Energy and Resources Engineering, College of Engineering, Peking University, Beijing 100871, China)

  • Heng Li

    (Key Laboratory of Theory and Technology of Petroleum Exploration and Development in Hubei Province, Wuhan 430074, China
    Key Laboratory of Tectonics and Petroleum Resources, Ministry of Education, Wuhan 430074, China
    School of Earth Resources, China University of Geosciences, Wuhan 430074, China)

Abstract

Shale gas reservoirs are typically developed by multistage, propped hydraulic fractures. The induced fractures have a complex geometry and can be represented by a high permeability region near each fracture, also called stimulated region. In this paper, a new integrative analytical solution coupled with gas adsorption, non-Darcy flow effect is derived for shale gas reservoirs. The modified pseudo-pressure and pseudo-time are defined to linearize the nonlinear partial differential equations (PDEs) and thus the governing PDEs are transformed into ordinary differential equations (ODEs) by integration, instead of the Laplace transform. The rate vs. pseudo-time solution in real-time space can be obtained, instead of using the numerical inversion for Laplace transform. The analytical model is validated by comparison with the numerical model. According to the fitting results, the calculation accuracy of analytic solution is almost 99%. Besides the computational convenience, another advantage of the model is that it has been validated to be feasible to estimate the pore volume of hydraulic region, stimulated region, and matrix region, and even the shape of regions is irregular and asymmetrical for multifractured horizontal wells. The relative error between calculated volume and given volume is less than 10%, which meets the engineering requirements. The model is finally applied to field production data for history matching and forecasting.

Suggested Citation

  • Kaixuan Qiu & Heng Li, 2020. "An Analytical Model for Production Analysis of Hydraulically Fractured Shale Gas Reservoirs Considering Irregular Stimulated Regions," Energies, MDPI, vol. 13(22), pages 1-26, November.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:22:p:5899-:d:443867
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    References listed on IDEAS

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    1. Qi Zhang & Shu Jiang & Xinyue Wu & Yan Wang & Qingbang Meng, 2020. "Development and Calibration of a Semianalytic Model for Shale Wells with Nonuniform Distribution of Induced Fractures Based on ES-MDA Method," Energies, MDPI, vol. 13(14), pages 1-20, July.
    2. Qiang Wang & Jifang Wan & Langfeng Mu & Ruichen Shen & Maria Jose Jurado & Yufeng Ye, 2020. "An Analytical Solution for Transient Productivity Prediction of Multi-Fractured Horizontal Wells in Tight Gas Reservoirs Considering Nonlinear Porous Flow Mechanisms," Energies, MDPI, vol. 13(5), pages 1-20, March.
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    Cited by:

    1. Reza Rezaee, 2022. "Editorial on Special Issues of Development of Unconventional Reservoirs," Energies, MDPI, vol. 15(7), pages 1-9, April.

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