Stochastic Finite Element Analysis of Contaminant Transport in Porous Media

9402476加尼姆建议开展一项研究计划，以一种新的概念来处理涉及具有不确定(随机)性质的介质的环境工程问题。所提出的概念依赖于随机过程的近似表示，该随机过程使用有限数量的随机变量来描述介质特性。这将通过卡胡宁-勒夫和多项式混沌展开的经典概念来实现，这是众所周知的应用数学。在本研究中，这些展开式将按照标准的有限元程序合并到各种介质性质的空间离散中。所提出的公式将允许使用最少数量的随机变量对所涉及的随机过程进行最优表示。工程力学问题的初步计算结果与蒙特卡罗模拟结果吻合较好。拟议的研究将扩展现有的地下水流动问题分析公式。***

9402476 Ghanem It is proposed to conduct a research program featuring a novel concept for treating environmental engineering problems involving media with uncertain (random) properties. The proposed concept hinges upon the approximate representation of random processes describing the medium properties using a finite number of random variables. This will be accomplished via the classical concepts of the Karhunen-Loeve and Polynomials Chaos expansions, well known n applied mathematics. I this study these expansions will be incorporated into spatial discretizations of various medium properties in accordance with standard finite element procedures. The proposed formulation will permit an optimal representation of the random process involved using a minimum number of random variables. Preliminary results obtained by proposed formalism to problems of engineering mechanics show good agreement with Monte Carlo simulation results. The proposed research will extend the existing formulation for the analysis of problems in ground water flow. ***