非平稳随机地下水流模拟

Study of nonstationary stochastic groundwater flow modelling

系统地研究了非平稳随机地下水水流模型的模拟问题 ,重点讨论了非平稳随机过程的处理方法 ,同时将Neumann展开Monte -Carlo随机有限元方法引入水文地质研究领域 ,并提出了2种处理随机地下水水流模拟的新方法———Taylor展开随机有限元方法和摄动待定系数随机有限元方法 ,利用 2个数值例子论证了新提出的随机模拟方法的可行性 。

The nonstationary stochastic approaches of groundwater flow modelling are studied. An important problem, how to deal with nonstationary stochastic series, is discussed. The new ideas are put forward for three useful stochastic finite element methods(Monte Carlo Stochastic Finite Element Method——MCSFEM, Taylor Series Expansions Stochastic Finite Element Method——TSFEM, Perturbation Coefficient Awaiting Determination Stochastic Finite Element Method——PCADSFEM). Numerical methods for 2 D and 3 D groundwater quality models are also investigated. At last ,the theoretical results are used to research of the stochastic changing of water quality in water resource field of the Weihe Chemical Fertilizer Plant.