Fractal study of interporosity flow function and shape factor in rough fractured dual porous media

Abstract

In this paper, the fractal theory is used to consider the roughness of the matrix pore surface based on the previous research, the relative roughness model of the matrix pore surface is established, and the fractal model of anisotropic interporosity flow function and shape factor considering the relative roughness, tortuosity, and starting pressure of matrix pore is derived. The influence of relative roughness on the interporosity flow function and shape factor is also analyzed. It is found that the relative roughness is inversely proportional to the interporosity flow function but proportional to the shape factor. In addition, the rationality of the model is verified by comparing with the existing research.