Analysis of seepage characters in fractal porous media
Analysis of seepage characters in fractal porous media
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DOI：
10.1016/j.ijheatmasstransfer.2009.01.024
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发表时间：
2009-06
影响因子：
5.2
通讯作者：
Meijuan Yun;Bo-ming Yu;Jianchao Cai
中科院分区：
文献类型：
--
作者：
Meijuan Yun;Bo-ming Yu;Jianchao Cai
本文对分形多孔介质中牛顿流体的平面径向流动和平面平行流动进行了分析。基于多孔介质由一束/一组弯曲的流线/毛细管组成的假设，根据多孔介质中孔隙尺寸分布的分形特征，推导了径向流动和平行流动的孔隙度、流量、速度和渗透率的表达式。得到的表达式是弯曲度、分形维数、最大和最小孔径的函数，表达式中没有经验常数，每个参数都有明确的物理意义。导出了分形多孔介质中平面径向流和平面平行流的压力分布方程。对平面径向储层的压力和速度分布进行了计算和讨论。
In this paper, the plane-radial and plane-parallel flows for Newtonian fluid in fractal porous media are analyzed. Based on the assumption that the porous medium consists of a bundle/set of tortuous streamlines/capillaries and on the fractal characteristics of pore size distribution in porous media, the expressions for porosity, flow rate, velocity and permeability for both radial and parallel flows are developed. The obtained expressions are the functions of tortuosity, fractal dimension, maximum and minimum pore diameters, and there are no empirical constant and every parameter has clear physical meaning in the expressions. The pressure distribution equations for plane-radial and plane-parallel flows in fractal porous media are also derived. The pressure and velocity distributions in plane-radial reservoirs are calculated and discussed.