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Modeling Non-Stationary Processes of Diffusionof Solute Substances in the Near-Bottom LayerofWater Reservoirs: Variation of the Direction of Flowsand Assessment of Admissible Biogenic Load

Published online by Cambridge University Press:  02 October 2009

V. V. Kozlov
V. V. Kozlov*
Affiliation:
Institute for System Dynamics and Control Theory, SB of RAS, Irkutsk, Russia
*
rozen@icc.ru
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Abstract

The paper is devoted to mathematical modelling and numerical computations of anonstationaryfree boundary problem. The model is based on processes of molecular diffusion ofsomeproducts of chemical decomposition of a solid organic substance concentrated inbottom sediments.It takes into account non-stationary multi-component and multi-stage chemicaldecomposition oforganic substances and the processes of sorption desorption under aerobic andanaerobic conditions.Such a model allows one to obtain quantitative estimates of incoming soluteorganicsubstances of anthropogenic origin having different molecular weights from thebottom sedimentsinto water and to study the influence of seasonal variations of theconcentration of solute oxygenin the near-bottom water on the direction of exchange processes in the system“waterbottom”.
Identification of parameters of the mathematical model with the use ofexperimental data andwith the employment of a priori information of the model's structure is carriedout. Comparisonof the numerical simulations with experimental data is conducted to the end ofverification ofefficiency and plausibility of the proposed mathematical model of secondarypollution. It impliesassessment of water quality on account of the processes of exchange in thesystem “waterbottom”.The results of computations of non-stationary fluxes at the boundary“waterbottom” are analyzed.A model example is used to estimate the potentials of the biogenic load on thewater reservoir.

Keywords

mathematical modelingbottom sedimentsmolecular diffusionporousmediumsecondarypollutionhydrodynamicsecologyparametric identification
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 4 , Issue 5: Modelling of geographical processes and natural resources , 2009 , pp. 100 - 113
Copyright
© EDP Sciences, 2009

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