Reactive particle-tracking solutions to a benchmark problem on heavy metal cycling in lake sediments

Journal of Contaminant Hydrology
Michael J SchmidtDavid A Benson

Abstract

Geochemical systems are known to exhibit highly variable spatiotemporal behavior. This may be observed both in non-smooth concentration curves in space for a single sampling time and also in variability between samples taken from the same location at different times. However, most models that are designed to simulate these systems provide only single-solution smooth curves and fail to capture the noise and variability seen in the data. We apply a recently developed reactive particle-tracking method to a system that displays highly complex geochemical behavior. When the method is made to most closely resemble a corresponding Eulerian method, in its unperturbed form, we see near-exact match between solutions of the two models. More importantly, we consider two approaches for perturbing the model and find that the spatially-perturbed condition is able to capture a greater degree of the variability present in the data. This method of perturbation is a task to which particle methods are uniquely suited and Eulerian models are not well-suited. Additionally, because of the nature of the algorithm, noisy spatial gradients can be highly resolved by a large number of mobile particles, and this incurs negligible computational cost, as com...Continue Reading

References

Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P Szymczak, A J C Ladd
Jun 22, 2010·Journal of Contaminant Hydrology·Marco DentzBranko Bijeljic
Jul 6, 2010·Journal of Contaminant Hydrology·I Battiato, D M Tartakovsky
Dec 11, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nicholas B EngdahlDiogo Bolster

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