Applied Mathematics and Mechanics

, Volume 37, Issue 5, pp 611–626 | Cite as

Numerical investigation of dual-porosity model with transient transfer function based on discrete-fracture model

  • Yizhao Wan
  • Yuewu LiuEmail author
  • Weiping Ouyang
  • Guofeng Han
  • Wenchao Liu


Based on the characteristics of fractures in naturally fractured reservoir and a discrete-fracture model, a fracture network numerical well test model is developed. Bottom hole pressure response curves and the pressure field are obtained by solving the model equations with the finite-element method. By analyzing bottom hole pressure curves and the fluid flow in the pressure field, seven flow stages can be recognized on the curves. An upscaling method is developed to compare with the dual-porosity model (DPM). The comparisons results show that the DPM overestimates the inter-porosity coefficient λ and the storage factor ω. The analysis results show that fracture conductivity plays a leading role in the fluid flow. Matrix permeability influences the beginning time of flow from the matrix to fractures. Fractures density is another important parameter controlling the flow. The fracture linear flow is hidden under the large fracture density. The pressure propagation is slower in the direction of larger fracture density.

Key words

dual-porosity model (DPM) discrete-fracture model fracture network finite-element method upscaling numerical well test 

Chinese Library Classification

O242.21 O357.3 

2010 Mathematics Subject Classification

76S05 74S05 


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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Yizhao Wan
    • 1
  • Yuewu Liu
    • 1
    Email author
  • Weiping Ouyang
    • 2
  • Guofeng Han
    • 1
  • Wenchao Liu
    • 1
  1. 1.Institute of MechanicsChinese Academy of SciencesBeijingChina
  2. 2.Changqing Downhole Technology Company, Chuanqing Drilling Engineering Company LimitedChina National Petroleum CorporationXianChina

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