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

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

Mathematical Problems in Engineering, 2014, vol. 2014, 1-8

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:405640

DOI: 10.1155/2014/405640

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