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A Pressure Transient Model for Power-Law Fluids in Porous Media Embedded with a Tree-Shaped Fractal Network

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  • Xiao-Hua Tan
  • Jian-Yi Liu
  • Jia-Hui Zhao
  • Xiao-Ping Li
  • Guang-Dong Zhang
  • Chuan Tang

Abstract

This work studies the pressure transient of power-law fluids in porous media embedded with a tree-shaped fractal network. A pressure transient model was created based on the fractal properties of tree-shaped capillaries, generalized Darcy’s law and constitutive equation for power-law fluids. The dimensionless pressure model was developed using the Laplace transform and Stehfest numerical inversion method. According to the model’s solution, the bi-logarithmic type curves of power-law fluids in porous media embedded with a tree-shaped fractal network are illustrated. The influences of different fractal factors and Power-law fluids parameters on pressure transient responses are discussed.

Suggested Citation

  • Xiao-Hua Tan & Jian-Yi Liu & Jia-Hui Zhao & Xiao-Ping Li & Guang-Dong Zhang & Chuan Tang, 2014. "A Pressure Transient Model for Power-Law Fluids in Porous Media Embedded with a Tree-Shaped Fractal Network," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, February.
    • Handle: RePEc:hin:jnlmpe:405640
    DOI: 10.1155/2014/405640
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    Cited by:

    1. Zhu, Jianting, 2020. "Coupling effect of power-law fluid properties and scaled fractal characteristics on flow through fractured media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).

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