  Homogenization method is used to analyse the equivalent behavior of transient
flow of a passive solute through highly heterogeneous porous media. The flow is
governed by a coupled system which includes an elliptic equation and a linear
convection-diffusion concentration equation with a diffusion term small with
respect to the convection, i.e. a high Peclet number is considered. Asymptotic
expansions lead to the definition of a macroscale transport model. Numerical
computations to obtain the effective hydraulic conductivity and the
macrodiffusivity tensor have been carried out via finite volume methods.
Numerical experiments related to the simulations of solute transport have been
performed comparing the heterogeneous medium to the corresponding effective
medium. The results of the simulations are compared in terms of spatial
moments, L2 errors and concentration contours. Results obtained from the
simulations using the model obtained by the homogenization method show good
agreement with the heterogeneous simulations.
