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Reaction front formation in contaminant plumes
journal contribution
posted on 2016-05-31, 09:56 authored by Laura B. Cribbin, Henry F. Winstanley, Sarah L. Mitchell, Andrew C. Fowler, Graham SanderGraham SanderThe formation of successive fronts in contaminated groundwater plumes by subsoil bacterial action is a commonly accepted feature of their propagation, but it is not obviously clear from a mathematical standpoint quite how such fronts are formed or propagate. In this paper we show that these can be explained by combining classical reaction-diffusion theory involving just two reactants (oxidant and reductant), and a secondary reaction in which a reactant on one side of such a front is (re-)formed on the other side of the front via diffusion of its product across the front. We give approximate asymptotic solutions for the reactant profiles, and the propagation rate of the front.
Funding
This publication has emanated from research conducted with the financial support of Science Foundation Ireland under Grant Number: SFI/09/IN.1/I2645. A. C. F. acknowledges the support of the Mathematics Applications Consortium for Science and Industry (www.macsi.ul.ie) funded by the Science Foundation Ireland mathematics initiative grant SFI/12/IA/1683.
History
School
- Architecture, Building and Civil Engineering
Published in
Journal of Contaminant HydrologyVolume
171Pages
12 - 21Citation
CRIBBIN, L. ... et al., 2014. Reaction front formation in contaminant plumes. Journal of Contaminant Hydrology, 171, pp. 12-21.Publisher
© ElsevierVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2014-10-06Publication date
2014-10-25Copyright date
2014Notes
This item is closed access.ISSN
0169-7722eISSN
1873-6009Publisher version
Language
- en