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多孔介质自发渗吸研究进展

ISSN号：1000-0992
期刊名称：力学进展
时间：2012.11.25
页码：735-754
分类：O35[理学—流体力学;理学—力学] TE358.3[石油与天然气工程—油气田开发工程]
作者机构：[1]Institute of Geophysics and Geomatics, Key Laboratory of Tectonics and Petroleum Resources of Ministry of Education, China University of Geosciences, Wuhan 430074, China
相关基金：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）.
相关项目：低渗裂缝性双重介质油藏渗吸特性的分形研究

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, fractal, porous media, non-Darcy flow, threshold pressure gradient, scaling law

中文摘要：

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-DT/(1+DT),where DTis 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.

英文摘要：

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.

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