Fractal study on fluid–solid coupling permeability and stress sensitivity of dual media based on rough capillary bundle model

In this paper, based on the rough capillary bundle model, the fractal characteristics of matrix-fracture dual media are characterized by fractal theory. The total flow model and the rough dual media permeability fractal model considering fluid–solid coupling are derived. The proposed model is compared with the experimental data to verify the rationality and effectiveness of the proposed model. The impacts of Poisson's ratio, relative roughness, fracture stress, and Young's modulus on the total flow model and permeability model are analyzed. It is found that the roughness of the microchannel is inversely proportional to the fluid permeability. The permeability is inversely proportional to stress and Poisson's ratio, and is proportional to Young's modulus. The influence of the dual media's structural parameters on total flow and permeability cannot be ignored.