Stochastic 3D Navier?Stokes Flow in Self?Affine Fracture Geometries Controlled by Anisotropy and Channeling

This study presents a probabilistic analysis of 3D Navier-Stokes (NS) fluid flow through 30 randomly generated sheared fractures with equal roughness properties (Hurst exponent = 0.8). The results numerous NS realizations are compared the highly simplified local cubic law (LCL) solutions regarding orientations and regimes. transition between linear nonlinear conditions cannot be described generally valid critical Reynolds number , but rather depends on individual fracture's void geometry. Over 10% reduction in is observed for increased global Re (>100) due to increasing impact conditions. Furthermore, fracture geometry promotes anisotropy formation channels. Flow perpendicular shearing leads channeling (?40% higher) parallel shearing. In latter case, dispersed irregular paths cause LCL validity.