Abstract
The one-dimensional transport of reactive tracer (radionuclide) in the multi-fractional aquatic sediments is considered. In the model a transfer of tracer in sediment is governed by the molecular diffusion of dissolved phase in pore water, biodiffusion, phase exchange between dissolved and solid phases of tracers, exchange between fast and slow reversible phases of tracer, and compaction under gravity force resulting in a decrease of porosity with sediment layer depth. The transport equations for 2-step reactions were completed by an equation for fractions of sediments assuming that mixing in the bottom sediment is intraphase. The compaction dynamics was parameterized using an approximation of porosity by travelling wave profile. The results of an idealized numerical experiment on the constant deposition of contaminated sediments show that in the case of 2-step reactions the exchange processes in multifraction sediments were far from equilibrium.
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Acknowledgements
This work was partially supported by IAEA CRP K41017 “Behavior and Effects of Natural and Anthropogenic Radionuclides in the Marine Environment and their use as Tracers for Oceanography Studies” and the National Research Foundation of Ukraine project no. 2020.02/0048.
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Maderich, V., Brovchenko, I., Kovalets, K. (2022). Transport of Reactive Tracer in Compacting Multi-Fraction Bottom Sediments. In: Shkarlet, S., et al. Mathematical Modeling and Simulation of Systems. MODS 2021. Lecture Notes in Networks and Systems, vol 344. Springer, Cham. https://doi.org/10.1007/978-3-030-89902-8_3
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DOI: https://doi.org/10.1007/978-3-030-89902-8_3
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