Unsaturated flows in soils with self-similar hydraulic conductivity distribution (Q1892254)

We are concerned with the statistics of steady unsaturated flow in soils with a fractal hydraulic conductivity distribution. It is assumed that the spatial distribution of log hydraulic conductivity can be described as an isotropic stochastic fractal process. The impact of the fractal dimension of this process, the soil pore-size distribution parameter, and the characteristic length scale on the variances of tension head and the effective conductivity are investigated. Results are obtained for one- dimensional and three-dimensional flows.