【作者】 陈家军； 李森；

【Author】 Chen Jia-jun LI Sen (State Key Laboratory of Water Environment Simulation, School of Environment, Beijing Normal University, Beijing 100875,

【机构】 环境模拟与污染控制国家重点联合实验室/北京师范大学环境学院；

【摘要】 本文建立了二维潜水非稳定流模拟的摄动随机有限元模型,不仅把控制方程的主要参数渗透系数和给水度看作随机变量,还把源汇项和边界条件设为随机变量。文中在充分考虑四种随机因素的条件下,推导了求解潜水二维非稳定流均值和方差的九个方程,并重点介绍了不同方程数值离散的特殊处理方法。通过设定理想例子对模拟结果进行了分析。本模型考虑因素全面,对一般的潜水非稳定流随机模拟都可应用。更多还原

【Abstract】 A perturbation finite element model for transient two-dimensional flow in a phreatic aquifer is developed in this paper. In the model, stochastic variables include hydraulic conductivity and specific yield in governing equation, as well as source/sink and boundary conditions. 9 equations are derived in order to solve expectation and variance of two-dimension unsteady flow and specific numeric treatment is adopted for different equations discreteness. In the end, simulated results are analyzed through assumption of a hypothetical example. Consideration in this model is quite comprehensive and it can be used to general stochastic simulation of unsteady flow in a phreatic aquifer.更多还原