School of the Environment, Flinders University, Adelaide, GPO Box 2100, SA 5001, Australia.
Ground Water. 2013 May-Jun;51(3):398-413. doi: 10.1111/j.1745-6584.2012.00978.x. Epub 2012 Aug 17.
Radially symmetric flow and solute transport around point sources and sinks is an important specialized topic of groundwater hydraulics. Analysis of radial flow fields is routinely used to determine heads and flows in the vicinity of point sources or sinks. Increasingly, studies also consider solute transport, biogeochemical processes, and thermal changes that occur in the vicinity of point sources/sinks. Commonly, the analysis of hydraulic processes involves numerical or (semi-) analytical modeling methods. For the description of solute transport, analytical solutions are only available for the most basic transport phenomena. Solving advanced transport problems numerically is often associated with a significant computational burden. However, where axis-symmetry applies, computational cost can be decreased substantially in comparison with full three-dimensional (3D) solutions. In this study, we explore several techniques of simulating conservative and reactive transport within radial flow fields using MODFLOW as the flow simulator, based on its widespread use and ability to be coupled with multiple solute and reactive transport codes of different complexity. The selected transport simulators are MT3DMS and PHT3D. Computational efficiency and accuracy of the approaches are evaluated through comparisons with full 2D/3D model simulations, analytical solutions, and benchmark problems. We demonstrate that radial transport models are capable of accurately reproducing a wide variety of conservative and reactive transport problems provided that an adequate spatial discretization and advection scheme is selected. For the investigated test problems, the computational load was substantially reduced, with the improvement varying, depending on the complexity of the considered reaction network.
点源和汇周围的径向对称流动和溶质运移是地下水水力学的一个重要专业课题。 径向流场的分析通常用于确定点源或汇附近的水头和流量。 越来越多的研究还考虑了溶质运移、生物地球化学过程和点源/汇附近发生的热变化。 通常,水力过程的分析涉及数值或(半)分析建模方法。 对于溶质运移的描述,仅对于最基本的传输现象才有解析解。 数值求解高级传输问题通常与显著的计算负担相关。 然而,在轴对称适用的情况下,与全三维(3D)解决方案相比,计算成本可以大大降低。 在这项研究中,我们探索了使用 MODFLOW 作为流动模拟器模拟径向流场中保守和反应性传输的几种技术,这是基于其广泛的应用和能够与不同复杂性的多个溶质和反应性传输代码耦合的能力。 所选的传输模拟器是 MT3DMS 和 PHT3D。 通过与全 2D/3D 模型模拟、解析解和基准问题的比较,评估了方法的计算效率和准确性。 我们证明,径向传输模型能够准确再现各种保守和反应性传输问题,只要选择了适当的空间离散化和对流方案。 对于所研究的测试问题,计算负荷大大降低,改进程度取决于所考虑的反应网络的复杂性。