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An Electron-Balance Based Approach to Predict the Decreasing Denitrification Potential of an Aquifer
Authors:Matthias Loschko  Thomas Wöhling  David L Rudolph  Olaf A Cirpka
Institution:1. Center for Applied Geosciences, University of Tübingen, Tübingen, Germany

Currently at BoSS Consult, Stuttgart, Germany;2. Department of Hydrology, Technische Universität Dresden, Dresden, Germany

Lincoln Agritech Ltd., Ruakura Research Centre, Hamilton, New Zealand;3. Department of Earth and Environmental Sciences, University of Waterloo, Ontario, Canada

Abstract:Numerical models for reactive transport can be used to estimate the breakthrough of a contaminant in a pumping well or at other receptors. However, as natural aquifers are highly heterogeneous with unknown spatial details, reactive transport predictions on the aquifer scale require a stochastic framework for uncertainty analysis. The high computational demand of spatially explicit reactive-transport models hampers such analysis, thus motivating the search for simplified estimation tools. We suggest performing an electron balance between the reactants in the infiltrating solution and in the aquifer matrix to obtain the hypothetical time of dissolved-reactant breakthrough at a receptor if the reaction with the matrix was instantaneous. This time we denote as the advective breakthrough time for instantaneous reaction (τinst ). It depends on the amount of the reaction partner present in the matrix, the mass flux of the dissolved reactant, and the stoichiometry. While the shape of the reactive-species breakthrough curve depends on various kinetic parameters, the overall timing scales with τinst . We calculate the latter by particle tracking. The effort of computing τinst is so low that stochastic calculations become feasible. We apply the concept to a two-dimensional test case of aerobic respiration and denitrification. A detailed spatially explicit reactive-transport model includes microbial dynamics. Scaling the time of local breakthrough curves observed at individual points by τinst decreased the variability of electron-donor breakthrough curves significantly. We conclude that the advective breakthrough time for instantaneous reaction is efficient in estimating the time over which an aquifer retains its degradation potential.
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