STOCHASTIC-ANALYSIS OF UNSATURATED TRANSPORT IN SOILS WITH FRACTAL LOG-CONDUCTIVITY DISTRIBUTION

Within the framework of stochastic theory and the spectral perturbatio n techniques, three-dimensional dispersion in partially saturated soil s with fractal log hydraulic conductivity distribution is analyzed. Ou r analysis is focused on the impact of fractal dimension of log hydrau lic conductivity distribution, local dispersivity, and unsaturated flo w parameters, such as the soil pore-size distribution parameter and th e moisture distribution parameter, on the spreading behavior of solute plume and the concentration variance. Approximate analytical solution s to the stochastic partial differential equations are derived for the variance of asymptotic solute concentration and asymptotic macrodispe rsivities.