Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations

摘要: We determine the asymptotic dispersion coefficients in 2D exponentially correlated lognormally distributed permeability fields by using parallel computing. Fluid flow is computed solving equation discretized on a regular grid and transport triggered advection diffusion simulated particle tracker. To obtain well-defined regime under ergodic conditions (initial plume size much larger than correlation length of field), characteristic dimension computational domains was order 103 lengths with resolution ten cells length. numerically effective longitudinal transverse over 100 simulations for broad range heterogeneities s 2 [0, 9], where lognormal variance. For purely advective transport, coefficient depends linearly 1 zero. Addition homogeneous isotropic induces an increase decrease dispersion.