Stochastic Modeling for Transport in Aquifers: 2. Ergodicity

Non-reactive transport in saturated aquifers For constant (slowly variable) porosity the non-reactive transport is described by the advection-dispersion equation for the concentration field c(x, t): ∂tc+V(x)∇c = D∇2c. • D: (constant) “local dispersion coefficient ” which describes both the molecular diffusion and the hydrodynamic mixing due to the small scale variability of the velocity, • V(x) : the stationary velocity field is a realization of a statistically homogeneous random space function