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Transport in Porous Media

, Volume 111, Issue 1, pp 97–121 | Cite as

Flow Consistency Between Non-Darcy Flow in Fracture Network and Nonlinear Diffusion in Matrix to Gas Production Rate in Fractured Shale Gas Reservoirs

  • Jia Liu
  • J. G. Wang
  • Feng Gao
  • Yang Ju
  • Xiangxiang Zhang
  • Lai-Chang Zhang
Article

Abstract

Due to complex pore structures and ultra-low permeability in unconventional gas reservoirs, the flow consistency between the macro-flow in fracture network and the micro-flow or gas diffusion in matrix may significantly impact the production rate of fractured gas reservoirs. This study investigated the impact of this flow consistency on the production rate through the development of a numerical simulation model and its application to a shale gas reservoir. In this model, a fractured gas reservoir consists of fracture network and matrix. In the fracture network, gas flow was assumed to follow the non-Darcy law. In the matrix, a nonlinear diffusion model was proposed for the gas micro-flow through a non-empirical apparent permeability. This nonlinear diffusion model considered the advection and diffusion of the free-phase gas in nanoporous channels as well as the gas desorption in matrix. Further, the mass exchange rate between fracture network and matrix was calculated via a diffusion time which comprehensively considers both the diffusion capability and the size of matrix block. This numerical model was verified through history matching of the production data from two shale wells and then applied to a typical production well to investigate the effects of pore size in matrix, fracture spacing, and initial fracture permeability on production curve (i.e., production rate versus time). It is found that the production curve is significantly affected by this flow consistency. Pore size and initial fracture permeability play the key roles in this flow consistency. Fracture spacing and fracture permeability can alter the production curve. In this sense, the production curve can be designable through this flow consistency. Production efficiency can be improved through appropriate control of the fracturing degree of shale reservoir. Meanwhile, accurate measurement of shale pore size distribution provides an important parameter to the design of this flow consistency.

Keywords

Fracture-matrix system Flow consistency Non-empirical apparent permeability Apparent diffusion coefficient Sorption–desorption 

Notes

Acknowledgments

The authors are grateful to the financial support from Creative Research and Development Group Program of Jiangsu Province (2014), National Natural Science Fund for Distinguished Young Scholars of China (Grant No. 51125017), and National Natural Science Foundation of China (Grant No. 51374213, 51404250).

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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • Jia Liu
    • 1
  • J. G. Wang
    • 1
    • 2
  • Feng Gao
    • 1
    • 2
  • Yang Ju
    • 1
    • 3
  • Xiangxiang Zhang
    • 2
  • Lai-Chang Zhang
    • 4
  1. 1.State Key Laboratory for Geomechanics and Deep Underground EngineeringChina University of Mining and TechnologyXuzhouChina
  2. 2.School of Mechanics and Civil EngineeringChina University of Mining and TechnologyXuzhouChina
  3. 3.State Key Laboratory of Coal Resources and Safe MiningChina University of Mining and Technology at BeijingBeijingChina
  4. 4.School of EngineeringEdith Cowan UniversityJoondalup, PerthAustralia

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