CMG Collaborative Research: Tempered Stable Models for Preasymptotic Pollutant Transport in Natural Media

CMG 合作研究：自然介质中渐进前污染物传输的稳定模型

• 批准号: 1460319
• 负责人: Yong Zhang
• 金额: $ 12.39万
• 依托单位: University of Alabama Tuscaloosa
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-09-01 至 2016-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1460319&HistoricalAwards=false
• 关键词: CMG; Collaborative; Research; Tempered; Stable

Contaminant transport through natural aquifers typically exhibits pre-asymptotic or transient anomalous behavior on the space and time scale critical to most environmental concerns. Complex and usually unpredictable medium heterogeneity at all relevant scales motivates the application of non-local transport theories. The proposed work will develop tempered stable models, which generalize standard non-local transport theories by adjusting fractal power-laws, to simulate pre-asymptotic transport and reveal the nature of real-world dispersion missed previously. There will be three major outcomes, including (1) a novel non-local transport theory and model based on tempered power laws that can efficiently simulate transient anomalous diffusion, (2) a quantitative linkage between the observable statistics of natural heterogeneous media and the model parameters built by a systematic Monte Carlo study, and (3) a convenient software suite with open source codes that solve and apply the model. This collaborative research will also test the model, the solver and the model predictability, by using historical tracer data and well-studied aquifer information. A careful consideration of the physical meaning of model components, and connections to statistical aquifer properties, will ensure that the resulting model is not limited to curve fitting applications.Accurate prediction of contaminant migration in real-world aquifers is critical to groundwater protection and cleanup. The proposed work will develop appropriate transport theory and build effective modeling components to address this problem. Hence this research is both highly theoretical and applied. In particular, the proposed work more accurately represents the underlying link between fractional calculus and power-law statistics in real aquifer material. The PI team includes mathematicians and hydrologists, forming interdisciplinary cooperation in cutting edge research.

通过天然含水层的污染物运输通常在大多数环境问题上至关重要的空间和时间尺度上表现出临时或短暂的异常行为。在所有相关尺度上，复杂且通常不可预测的培养基异质性激发了非本地运输理论的应用。拟议的工作将开发钢化稳定模型，该模型通过调整分形幂律来概括标准的非本地运输理论，以模拟临时运输前的运输，并揭示了以前错过的现实世界色散的性质。将有三个主要的结果，包括（1）基于回火的功率定律的新型非本地运输理论和模型，可以有效地模拟瞬态异常扩散，（（2）自然异质媒体的可观察到的可观察到的自然异质媒体的可观察到的统计量与由系统的Monte Carlo研究构建的模型参数，以及（3）构建的模型，以及（3）设置了一个便利的源代码，该模型是一个便利的源代码和设置的编码。这项协作研究还将通过使用历史示踪剂数据和良好的含水层信息来测试模型，求解器和模型可预测性。仔细考虑模型组件的物理含义以及与统计含水层属性的连接，将确保所得模型不限于曲线拟合应用。准确预测现实世界中含水层中污染物迁移对地下水保护和清理至关重要。拟议的工作将开发适当的运输理论，并建立有效的建模组件以解决此问题。因此，这项研究既是理论上的，又是应用的。特别是，提出的工作更准确地表示实际含水层材料中的分数演算与幂律统计之间的基本联系。 PI团队包括数学家和水文学家，在尖端研究中形成了跨学科的合作。