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Analysis of transient flow and starting pressure gradient of power-law fluid in fractal porous media

Xiao-Hua Tan (), Xiao-Ping Li, Lie-Hui Zhang, Jian-Yi Liu and Jianchao Cai ()
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Xiao-Hua Tan: State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Xindu Road 8, Chengdu 610500, P. R. China
Xiao-Ping Li: State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Xindu Road 8, Chengdu 610500, P. R. China
Lie-Hui Zhang: State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Xindu Road 8, Chengdu 610500, P. R. China
Jian-Yi Liu: State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Xindu Road 8, Chengdu 610500, P. R. China
Jianchao Cai: Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, P. R. China

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 04, 1-15

Abstract: A transient flow model for power-law fluid in fractal porous media is derived by combining transient flow theory with the fractal properties of tortuous capillaries. Pressure changes of transient flow for power-law fluid in fractal porous media are related to pore fractal dimension, tortuosity fractal dimension and the power-law index. Additionally, the starting pressure gradient model of power-law fluid in fractal porous media is established. Good agreement between the predictions of the present model and that of the traditional empirical model is obtained, the sensitive parameters that influence the starting pressure gradient are specified and their effects on the starting pressure gradient are discussed.

Keywords: Transient flow; fractal porous media; starting pressure gradient; power-law fluid; pressure type curves; 47.55.Mh; 47.50.+d; 47.53.+n (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S012918311550045X

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