SGER: New Enabling Technology for the Study of Groundwater Flow and Transport Under Uncertainty

0130652Pinder本研究的目的是调查使用一种新的方法来模拟地下水流和运输系统。 一个蒙特-卡罗模拟方法是唯一可行的方法，解决这些问题，涉及大的不确定性参数值，如水力传导率，但目前的方法需要巨大的计算工作量，他们需要使用矩形数值网格。 本研究的目标是探索一种新的方法来生成参数和状态变量的随机场，从而在模拟地下水流动和运输时显著减少计算工作量，并且也可以用于三角形（或其他不规则）有限元网格。 该方法使用拉丁超立方体采样的变体来执行必要的蒙特-卡罗模拟。 总的目标是提高计算速度和数学的灵活性时，解决这些问题描述的参数，其特征在于随机场。 计算效率将通过减少表示一个随机场所需的实现数量达到指定的准确度。 数学建模的灵活性将通过扩展当前的随机场表示技术来提高，以适应不规则的有限元模拟网格，这是一种目前不存在的技术。 这一项目可能会大大提高解决地下水污染和流动难题以及工程和物理领域广泛的其他问题的效率和效力。

0130652PinderThe objective of this research is to investigate the use of a new approach to the modeling of groundwater flow and transport systems. A Monte-Carlo simulation approach is the only viable method for the solution of such problems involving large uncertainties in parameter values, such as hydraulic conductivity; but current methods require enormous computational effort and they require the use of rectangular numerical meshes. The goal of this research is to explore a new approach to generating random fields for both parameters and state variables that results in significantly less computational effort when simulating groundwater flow and transport and that can also be used on a triangular (or other irregular) finite-element mesh. The approach uses a variant on Latin-hypercube sampling to perform the necessary Monte-Carlo simulations. The overall goal is to increase both computational speed and mathematical flexibility when solving such problems described using parameters characterized by random fields. The computational efficiency will be achieved by reducing the number of realizations required to represent a random field to a specified degree of accuracy. The mathematical modeling flexibility will be enhanced by extending current random field representation technology to accommodate irregular finite-element simulation meshes, a technology that does not currently exist. This project could lead to significant gains in efficiency and effectiveness in solving difficult problems of groundwater contamination and flow, as well as a wide range of other problems in engineering and physics.