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A fractal approach to low velocity non-Darcy flow in a low permeability porous medium
作者姓名:蔡建超
基金项目:Project supported by the National Natural Science Foundation of China(Grant No.41102080);the Fundamental Research Funds for the Central Universities,China(Grant Nos.CUG130404 and CUG130103);the Fund from the Key Laboratory of Tectonics and Petroleum Resources of Ministry of Education,China University of Geosciences(Wuhan),China(Grant No.TPR-2013-18)
摘    要:In this paper, the mechanism for fluid flow at low velocity in a porous medium is analyzed based on plastic flow of oil in a reservoir and the fractal approach. The analytical expressions for flow rate and velocity of non-Newtonian fluid flow in the low permeability porous medium are derived, and the threshold pressure gradient (TPG) is also obtained. It is notable that the TPG (J) and permeability (K) of the porous medium analytically exhibit the scaling behavior J ~ K-D'r/(l+Or), where DT is the fractal dimension for tortuous capillaries. The fractal characteristics of tortuosity for capillaries should be considered in analysis of non-Darcy flow in a low permeability porous medium. The model predictions of TPG show good agreement with those obtained by the available expression and experimental data. The proposed model may be conducible to a better understanding of the mechanism for nonlinear flow in the low permeability porous medium.

关 键 词:低渗透多孔介质  分形方法  非达西流  低速  流体流动  毛细血管  模型预测  解析表达式

A fractal approach to low velocity non-Darcy flow in a low permeability porous medium
Abstract:fractal, porous media, non-Darcy flow, threshold pressure gradient, scaling law
Keywords:fractal  porous media  non-Darcy flow  threshold pressure gradient  scaling law
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