多孔介质球向渗流的渗透率分形模型

The fractal permeability model for spherical seepage in the porous media

基于分形理论与技术,该文研究了牛顿流体在多孔介质中球向渗流问题,提出了牛顿流体球向渗流渗透率模型,分析了多孔介质的微结构参数对球向渗透率的影响.研究结果表明,球向渗透率随孔隙面积分形维数和孔隙度的增加而增加,随迂曲度分形维数和径向距离r的增加而减小;本模型预期结果与Chang和Yortsos的模型相比较吻合较好,证实了球向渗透率分形模型的正确性.

Based on the fractal theory, the spherical seepage for Newtonian fluids in porous media is investigated. The permeability model for spherical seepage in porous media is developed in this paper. The effect of microstrucural parameters of porous media on the permeability is analyzed. The results show that the radial permeability for spherical seepage in the porous media increases with the increases of the pore area fractal dimension and the porosity, and decreases with the increases of the tortuosity fractal dimension and the radial distance. We also compare our permeability model for spherical seepage with Chang and Yortso’s model. A good agreement is obtained between them.