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

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.

Automated summary

In this paper, using fractal theory, the authors considered the roughness of the matrix pore surface based on previous research and established a relative roughness model for the matrix pore surface. They also derived a fractal model for the anisotropic interporosity flow function and shape factor, taking into account the relative roughness, tortuosity, and starting pressure of the matrix pore. The influence of relative roughness on the interporosity flow function and shape factor was analyzed, revealing an inverse relationship with the flow function and a proportional relationship with the shape factor. The rationality of the model was verified by comparing it with existing research.