Monte Carlo modeling of solute transport in a porous medium with multi-scale heterogeneity

The stochastic simulation has become an important method for studying the solute transport in heterogeneous aquifer. In this study,a Monte Carlo method is used to study solute transport in a multiple-scale heterogeneous aquifer. The aquifer is composed of two materials and hydraulic conductivity distribution within each material is heterogeneous. The hydraulic conductivity field within each material is assumed to be statistically stationary,while the conductivity field in the whole aquifer is nonstationary. Since Monte Carlo models relies on the stationary parameter field,the separate stationary conductivity fields are generated on the two materials and then combined by using two methods,one of which is proved more proper taking the model's accuracy and efficiency into account.