Abstract
Based on the anisotropic fractal characteristics of natural fracture surfaces, a fractal fluid flow model was developed. Three-dimensional printed fracture models were built using the morphological information of an actual tensile and shear fracture surface of a rock. The impacts of the fractal dimension on the fluid flow characteristics were investigated. The results demonstrated that the concentration distribution of the undulating height of tensile fracture was larger than that of shear fracture. The fractal dimension of fracture lines with different directional sections ranges from 1.01 to 1.03, which results in the fluid flow anisotropy of fracture surfaces. As predicted by the theoretical model, the fluid flows along the tensile fracture surface and the shear fracture surface in different directions are 0.7–1.2 times and 0.9–1.1 times the average flow rates, respectively. With increasing pressure head, the Reynolds number linearly increased, and the Euler number first rapidly decreased and then slowly decreased.
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