Fractal model for predicting of unsaturated hydraulic conductivity of porous media

The unsaturated hydraulic conductivity is a key parameter of porous media applied to groundwater pollution prediction and assessment. The fractal approach is employed in derivation of a power law equation consistent with the empirical Camp bell's Law to predict unsaturated conductivity of porous media. The power exponent is a function of the pore-wlume fractal dimension and random walk dimension,which respectively characterize the static and dynamic properties of the media,but the contribution of the static property to water rmvement is dominant. The analytical comparison of the reported experimental data of fractal dimensions with the corresponding power exponents indicates that the derived power law equation is valid for predicting the unsaturated conductivity of porous media.