毛细压差影响下的未饱和多孔介质的相对渗透率

Relative Permeability of Unsaturated Porous Media with Capilary Pressure Difference Effect

以未饱和多孔介质微观结构的分形特性为基础,建立了毛细压差影响下的相对渗透率的分形模型。结果表明:相对渗透率是一个关于饱和度、分形维度、流体特性和毛细压差的函数,并且该函数中无经验常数。并将以该模型为基础计算出的相对渗透率与现有的实验数据进行比较,结果吻合得比较好。

In this paper,based on the fractal characters of microstructure of porous media,a fractal model for relative permeability is derived,which takes into account the capillary pressure difference.The results indicate that the relative permeability is expressed as a function of saturation,fractal dimensions,fluid properties and capillary pressure dierence,and there is no empirical constant introduced.Also,the relative permeabilities by the model are compared with the available experimental data.Good agreement is found between the present model predictions and the available experimental data.