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Upstream Dispersion in Solute Transport Models: A Simple Evaluation and Reduction Methodology
Ground Water ( IF 2.6 ) Pub Date : 2020-08-04 , DOI: 10.1111/gwat.13036 D J Irvine , A D Werner 1 , Y Ye 2 , A Jazayeri 1
Ground Water ( IF 2.6 ) Pub Date : 2020-08-04 , DOI: 10.1111/gwat.13036 D J Irvine , A D Werner 1 , Y Ye 2 , A Jazayeri 1
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This article outlines analytical solutions to quantify the length scale associated with “upstream dispersion,” the artificial movement of solutes in the opposite direction to groundwater flow, in solute transport models. Upstream dispersion is an unwanted artifact in common applications of the advection‐dispersion equation (ADE) in problems involving groundwater flow in the direction of increasing solute concentrations. Simple formulae for estimating the one‐dimensional distance of upstream dispersion are provided. These show that under idealized conditions (i.e., steady‐state flow and transport, and a homogeneous aquifer), upstream dispersion may be a function of only longitudinal dispersivity. The scale of upstream dispersion in a selection of previously presented situations is approximated to highlight the utility of the presented formulae and the relevance of this ADE anomaly in common transport problems. Additionally, the analytical solution is applied in a hypothetical scenario to guide the modification of dispersion parameters to minimize upstream dispersion.
中文翻译:
溶质运移模型中的上游扩散:一种简单的评估和简化方法
本文概述了分析解决方案,以量化与“上游分散”(在溶质运移模型中,溶质在与地下水流相反的方向上的溶质的人为运动)有关的长度尺度。在对流弥散方程(ADE)的常见应用中,涉及涉及地下水向溶质浓度增加方向流动的问题时,上游弥散是不希望的伪影。提供了用于估算上游色散的一维距离的简单公式。这些结果表明,在理想条件下(即稳态流动和输送以及均匀的含水层),上游扩散可能仅是纵向扩散率的函数。在选择先前呈现的情况时,上游扩散的规模是近似的,以突出显示呈现的公式的实用性以及该ADE异常在常见运输问题中的相关性。此外,在假设的情况下应用分析解决方案来指导色散参数的修改,以最大程度地减少上游色散。
更新日期:2020-08-04
中文翻译:
溶质运移模型中的上游扩散:一种简单的评估和简化方法
本文概述了分析解决方案,以量化与“上游分散”(在溶质运移模型中,溶质在与地下水流相反的方向上的溶质的人为运动)有关的长度尺度。在对流弥散方程(ADE)的常见应用中,涉及涉及地下水向溶质浓度增加方向流动的问题时,上游弥散是不希望的伪影。提供了用于估算上游色散的一维距离的简单公式。这些结果表明,在理想条件下(即稳态流动和输送以及均匀的含水层),上游扩散可能仅是纵向扩散率的函数。在选择先前呈现的情况时,上游扩散的规模是近似的,以突出显示呈现的公式的实用性以及该ADE异常在常见运输问题中的相关性。此外,在假设的情况下应用分析解决方案来指导色散参数的修改,以最大程度地减少上游色散。