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.
Highlights
Power-law fluids flow in porous media has always been a subject of great interest owing to its fundamental and pragmatic significance
Numerical methods have played a significant role in the analysis of power-law fluids flow in porous media
Lopez et al [1] determined the flow of power-law fluids in porous media using network models
Summary
Power-law fluids flow in porous media has always been a subject of great interest owing to its fundamental and pragmatic significance. Yun et al [10] have proposed the starting pressure gradient model for the flow of Bingham fluids in fractal porous media, based on the fractal nature of pore size distribution in porous media. Yun et al [10] and Li and Yu [11] was further developed by Wang and Yu [12] They derived the starting pressure gradient model for Bingham fluids flow in tree-shaped fractal porous media by embedding the tree-shaped fractal network into porous media. Based on the tree-shaped fractal model, Wang et al [13] proposed a starting pressure gradient model for Bingham fluids flow in porous media that is embedded with randomly distributed tree-shaped fractal networks
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