Evaluation of Monod kinetic parameters in the subsurface using moment analysis: Theory and numerical testing |
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| Authors: | M Mohamed K Hatfield IV Perminova |
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| Institution: | 1. Civil and Environmental Engineering Department, United Arab Emirates University, P.O. Box 17555, Alain, United Arab Emirates;2. Civil and Coastal Engineering Department, University of Florida, P.O. Box 116580, Gainesville, FL 32611, USA;3. Department of Chemistry, Lomonosov Moscow State University, Moscow 119992, Russia |
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| Abstract: | The spatial moments of a contaminant plume undergoing bio-attenuation are coupled to the moments of microbial populations effecting that attenuation. In this paper, a scalable inverse method is developed for estimating field-scale Monod parameters such as the maximum microbial growth rate (μmax), the contaminant half saturation coefficient (Ks), and the contaminant yield coefficient (Ys). The method uses spatial moments that characterize the distribution of dissolved contaminant and active microbial biomass in the aquifer. A finite element model is used to generate hypothetical field-scale data to test the method under both homogeneous and heterogeneous aquifer conditions. Two general cases are examined. In the first, Monod parameters are estimated where it is assumed a microbial population comprised of a single bacterial species is attenuating one contaminant (e.g., an electron donor and an electron acceptor). In a second case, contaminant attenuation is attributed to a microbial consortium comprised of two microbial species, and Monod parameters for both species are estimated. Results indicate the inverse method is only slightly sensitive to aquifer heterogeneity and that estimation errors decrease as the sampling time interval decreases with respect to the groundwater travel time between sample locations. Optimum conditions for applying the scalable inverse method in both space and time are investigated under both homogeneous and heterogeneous aquifer conditions. |
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| Keywords: | Groundwater Scalable inverse method Moment analysis Biodegradation Biological parameters |
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