Global random walk stochastic simulations for the assessment of the contamination risk in groundwater systems

用于评估地下水系统污染风险的全局随机游走随机模拟

• 批准号: 5455052
• 负责人: Dr. Nicolae Suciu
• 金额: --
• 依托单位: Lehrstuhl für Angewandte Mathematik I
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2005
• 资助国家: 德国
• 起止时间: 2004-12-31 至 2008-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5455052?language=en
• 关键词: Global; random; walk; stochastic; simulations

The predictability of contamination in groundwater systems will be investigated via stochastic simulations using the Global Random Walk method (GRW). To this aim, statistical ensembles of transport realizations, computed by GRW simulations on high performance parallel computers, will be used to estimate ergodicity ranges. The latter are defined by the root mean square deviation of actual observables from predictions provided by stochastic models and quantify the ergodicity in a large sense. The investigations will focus on pre-asymptotic regime and on memory effects induced by the nonlinear dependence of transport on the shape and dimensions of the initial solute plumes. Stochastic analyses based on Fokker-Plank and Itô equations will be developed and used for the interpretation of the stochastic simulations results. To increase the computational efficiency, the algorithm GRW also will be used as part of an ergodic simulations procedure. This approach exploits the ergodicity of the geo-statistical model of the groundwater velocity field with finite correlation range by inferring transport statistics from space averages over simulations done for a single velocity realization.

地下水系统中污染的可预测性将通过使用全球随机游走法（GRW）的随机模拟进行研究。为了这个目的，统计合奏的运输实现，计算GRW模拟高性能并行计算机，将被用来估计遍历范围。后者是由实际观测值的均方根偏差从随机模型提供的预测和量化的遍历性在很大的意义上定义的。调查将集中在前渐近制度和记忆效应引起的非线性依赖的形状和尺寸的初始溶质羽流的运输。将开发基于福克-普朗克和伊藤方程的随机分析，并用于解释随机模拟结果。为了提高计算效率，算法GRW也将被用作遍历模拟过程的一部分。这种方法利用了地质统计模型的遍历性的地下水速度场有限的相关范围内推断运输统计数据的空间平均超过模拟完成一个单一的速度实现。

项目成果

On the self-averaging of dispersion for transport in quasi-periodic random media

准周期随机介质中传输色散的自平均

• DOI: 10.1088/1751-8113/40/4/002
• 期刊: Journal of Physics A: Mathematical and Theoretical
• 作者: IH Eberhard. J.. N. Suciu;C. Vamos (2007).
• 通讯作者: C. Vamos (2007).

Comment on “Nonstationary flow and nonergodic transport in random porous media” by G. Darvini and P. Salandin

G Darvini 和 P Salandin 对“随机多孔介质中的非平稳流动和非遍历传输”的评论

• DOI: 10.1029/2007wr005946
• 期刊: Water Resources Research
• 影响因子: 5.4
• 作者: Suciu N.;C. Vamos (2007)
• 通讯作者: C. Vamos (2007)

Numerical investigations on ergodicity of solute transport in heterogeneous aquifers

非均质含水层溶质输运遍历性的数值研究

• DOI: 10.1029/2005wr004546
• 期刊: Water Resources Research
• 影响因子: 5.4
• 作者: Suciu N.. C. Vamos;J. Vanderborght. H. Hardelauf;H. Vereecken (2006).
• 通讯作者: H. Vereecken (2006).

Evaluation of the first‐order approximations for transport in heterogeneous media

异构介质中传输的一阶近似评估

• DOI: 10.1029/2005wr004714
• 期刊: Water Resources Research
• 影响因子: 5.4
• 作者: Suciu N.. C. Vamos;J. Eberhard (2006).
• 通讯作者: J. Eberhard (2006).

Global random walk modelling of transport in complex systems

复杂系统中运输的全局随机游走建模

• DOI: 10.1007/s00791-007-0077-6
• 期刊: Computing and Visualization in Science
• 作者: Suciu. N.. C.Vamos. 1. Turcu;C.V.L. Pop;L. I. Ciortea . (2007)
• 通讯作者: L. I. Ciortea . (2007)