STOCHASTIC ANALYSIS OF FLOW AND TRANSPORT PHENOMENA

本项目的总体目标是提供更有意义的估计数 人类和生态环境暴露于污染物， 用随机的方法理解地下恢复过程 流动和运输现象的分析。 本项目的具体目标 是以下; 1. 扩展最近开发的图解技术， 非均质多孔介质中流体流动的三维 各向异性系统; 2. 详细研究实际边界和初始 地下水流方程解的形式条件; 3. 开发一种基于空间变换的数值算法， 三维流体流动问题的求解方法 非均匀介质; 4. 采用图表和空间变换方法， 三维非均质介质中流体流动问题 污染物运输; 5. 发展从头算方法推导宏观随机 微观基础理论 流动和运输现象的介绍： 6. 研究非局部流动和输运现象的重要性 基于从头算方法的异质介质; 7. 扩展图解法和空间变换法的应用 流动和运输的非局部模型的解决方案。

The overall aims of this project are to provide more meaningful estimates of human and ecological exposure to contaminants and a more complete understanding of subsurface restoration processes by using stochastic analysis of flow and transport phenomena. Specific aims for this project are the following; 1. to extend recently developed diagrammatic techniques for the solution of fluid flow in heterogeneous porous media to three-dimensional anisotropic systems; 2. to investigate in detail the effects of realistic boundary and initial conditions on the form of solutions to the groundwater flow equation; 3. to develop a numerical algorithm based upon the space transformation method for the solution of three-dimensional fluid flow problems in heterogeneous media; 4. to adapt diagrammatic and space transformation methods developed for three-dimensional fluid flow problems in heterogeneous media to the problem of contaminant transport; 5. to develop ab initio approach for deriving macroscopic stochastic theories from fundamental underlying microscopic res presentations of flow and transport phenomena: 6. to investigate the importance of non-local flow and transport phenomena in heterogeneous media based upon an ab initio approach; 7. to extend the use of the diagrammatic and space transformation methods for the solution of non-local models of flow and transport.