Abstract
An empirical mathematical method is developed for studying spatiotemporal profiles (STPs) of pollutant concentrations in soils in the process of their electrokinetic remediation (EKR). For the mathematical description of STP concentrations, it is proposed to use the basic monotonic exponential (or logistic) function, which has asymptotic properties simultaneously in spatial, x, and temporary t, coordinates, with the addition of individual corrective functions that take into account experimentally observed deviations from monotonicity (extrema, inflection points, etc.). In the trial approximation, the sum of two-dimensional Gaussian functions is used as such corrective functions. A general mathematical formula describing the STP is derived. To demonstrate the possibilities of the developed method, the published experimental data on the electrokinetic purification of soils from certain heavy metals are processed using this formula. It is established that the quality of the description of experimental data using the proposed formula increases during the transition from the initial stage of the EKR process to the intermediate and final stages, which indicates a high level of predictability of the results of the EKR analysis based on the developed approach.
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This study was carried out as part of the state task “Physics and Chemistry of New Nanostructured Systems and Composite Materials with Preset Properties” FFZE-2022-0002 (registration number 1021051101696-3-1-1.4.3).
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Kumpanenko, I.V., Ivanova, N.A., Kovaleva, N.Y. et al. Spatiotemporal Profiles of the Concentrations of Contaminants During Electrokinetic Remediation of Soils. Russ. J. Phys. Chem. B 16, 738–746 (2022). https://doi.org/10.1134/S1990793122040091
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DOI: https://doi.org/10.1134/S1990793122040091