Flow velocity statistics for uniform flow through 3D anisotropic formations

► We develop a semianalytical model for the statistical moments of flow in heterogeneous media. ► The model is suited for strong heterogeneity and anisotropy. ► The solutions are checked using extensive three-dimensional numerical simulations. ► Anisotropy increases the variance of the longitudinal velocity and reduces that of transverse components. ► The velocity pdf is generally far from Gaussian, except for weakly heterogeneous formations.