Collaborative Research: A Comparison of Local and Nonlocal Transport Theories

合作研究：本地和非本地运输理论的比较

• 批准号: 0748953
• 负责人: Yong Zhang
• 金额: $ 5.09万
• 依托单位: Nevada System of Higher Education, Desert Research Institute
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-09-01 至 2009-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0748953&HistoricalAwards=false
• 关键词: Collaborative; Research; Comparison; Local; Nonlocal

This project will evaluate several emerging theoretical treatments of the dispersion of a conservative solute, with respect to their data needs and ability to represent dispersion. We will apply classical local, and non-local, methods at perhaps the best-studied and most representative heterogeneous site in North America - the MADE site in Columbus, Mississippi. We will evaluate the traditional advection-dispersion equation (ADE), which is thought to require tens of millions of nodes with local velocity values, and several non-local methods, including the time-non-local multiple-rate mass transfer (MRMT) and continuous time random walk (CTRW) methods, and/or the space-fractional advection-dispersion equation (fADE). Each of the non-local methods show great promise in reducing the amount of information needed to make accurate predictions of anomalously rapid and/or recalcitrant pollution migration. However, given the same site, we must ask the questions: How much data, of what types, are needed to obtain a given level of accuracy for each method? Are some methods capturing the resulting behavior of the process and, thus are inherently superior? Can simple guidelines for model use and data collection be generated? The proposed work would give the first systematic evaluation of the accuracy and data needs of the most recent and widely used theories of conservative solute transport. The final product would be a unifying model that includes the salient features of current time- and space-non-local governing equations, and places information about the geologic complexity in either the local velocities or in non-local terms in the governing equation. Furthermore, we will provide a guide to the tradeoff of information from the local scale (and discretization thereof) to the non-local terms. We will apply the analysis to synthetic aquifers of many types, in addition to the extensively studied MADE site.

该项目将根据其数据需求和代表分散的能力，评估保守溶质分散的几种新兴理论处理方法。我们将在北美研究得最好、最具代表性的异质地点——密西西比州哥伦布市的 MADE 地点，应用经典的本地和非本地方法。 我们将评估传统的平流弥散方程（ADE），该方程被认为需要数千万个具有局部速度值的节点，以及几种非局部方法，包括时间非局部多速率传质（MRMT）和连续时间随机游走（CTRW）方法，和/或空间分数平流弥散方程（fADE）。 每种非局域方法在减少对异常快速和/或顽固的污染迁移进行准确预测所需的信息量方面都显示出巨大的前景。 然而，对于相同的站点，我们必须问这样的问题：每种方法需要多少数据、什么类型的数据才能获得给定的准确度？某些方法是否捕获了过程的结果行为，因此本质上是优越的？能否生成简单的模型使用和数据收集指南？ 拟议的工作将对最新且广泛使用的保守溶质输运理论的准确性和数据需求进行首次系统评估。 最终产品将是一个统一模型，其中包括当前时间和空间非局部控制方程的显着特征，并将有关地质复杂性的信息放入控制方程中的局部速度或非局部项中。 此外，我们将提供从局部尺度（及其离散化）到非局部项的信息权衡的指南。 除了广泛研究的 MADE 站点之外，我们还将将该分析应用于多种类型的合成含水层。