探讨了将蒙特卡罗(Monte Carlo)方法应用于多尺度非均质含水层中溶质运移模拟的方法。所研究的含水层由两种具有不同渗透系数统计特征的多孔介质所组成,每一种多孔介质是非均质的,且其渗透系数场符合平稳假设,而整个模拟区的渗透系数是非平稳的。Monte Carlo方法要求参数是平稳的,因此,分别对两种多孔介质产生若干随机渗透系数场后,用两种方法进行组合,并进行溶质运移的模拟计算。通过对计算结果的分析,综合考虑计算精度、计算时间等因素,得出了处理多尺度非均质多孔介质中溶质运移问题的较好方法。
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.