A Pressure Transient Model for Power-Law Fluids in Porous Media Embedded with a Tree-Shaped Fractal Network. (24th February 2014)

• Record Type: Journal Article
• Authors: Tan, Xiao-Hua; Liu, Jian-Yi; Zhao, Jia-Hui; Li, Xiao-Ping; Zhang, Guang-Dong; Tang, Chuan
• Other Names: Yu Hai Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-02-24
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/405640
• Languages: English
• ISSNs: 1024-123X

Abstract

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.