幂律流体在多孔介质中径向渗流的分形模型

基于分形理论及毛细管模型，本文研究了非牛顿幂律流体在各向同性多孔介质中径向流动问题，推导了幂律流体径向有效渗透率的分形解析表达式．研究结果表明，幂律流体径向有效无量纲渗透率模型和Chang and Yortsos’s模型吻合很好；同时还得出幂律流体径向有效渗透率随孔隙率、幂指数的增加而增加，随迂曲度分形维数的增加而减少．

A Fractal Permeability Model for the Power Law Fluid Radial Flow in a Well in a Porous Medium

Based on the fractal theory and capillary model, the radial flow for non-Newtonian power-law fluids in isotropic porous media is investigated in this paper. The analytical expression of the effective radial permeability is derived. The results show that the dimensionless effective radial permeability predicted from our proposed model is in good agreement with Chang and Yortsos’s model. The effective radial permeability increases with the increase of porosity or power index, and decreases with the increase of tortuosity fractal dimension.