Modeling Non-Stationary Processes of Diffusion of Solute Substances in the Near-Bottom Layer ofWater Reservoirs: Variation of the Direction of Flows and Assessment of Admissible Biogenic Load

V. V. Kozlov

Mathematical Modelling of Natural Phenomena (2009)

  • Volume: 4, Issue: 5, page 100-113
  • ISSN: 0973-5348

Abstract

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The paper is devoted to mathematical modelling and numerical computations of a nonstationary free boundary problem. The model is based on processes of molecular diffusion of some products of chemical decomposition of a solid organic substance concentrated in bottom sediments. It takes into account non-stationary multi-component and multi-stage chemical decomposition of organic substances and the processes of sorption desorption under aerobic and anaerobic conditions. Such a model allows one to obtain quantitative estimates of incoming solute organic substances of anthropogenic origin having different molecular weights from the bottom sediments into water and to study the influence of seasonal variations of the concentration of solute oxygen in the near-bottom water on the direction of exchange processes in the system “waterbottom”.
Identification of parameters of the mathematical model with the use of experimental data and with the employment of a priori information of the model's structure is carried out. Comparison of the numerical simulations with experimental data is conducted to the end of verification of efficiency and plausibility of the proposed mathematical model of secondary pollution. It implies assessment of water quality on account of the processes of exchange in the system “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 the water reservoir.

How to cite

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Kozlov, V. V.. "Modeling Non-Stationary Processes of Diffusion of Solute Substances in the Near-Bottom Layer ofWater Reservoirs: Variation of the Direction of Flows and Assessment of Admissible Biogenic Load." Mathematical Modelling of Natural Phenomena 4.5 (2009): 100-113. <http://eudml.org/doc/222411>.

@article{Kozlov2009,
abstract = { The paper is devoted to mathematical modelling and numerical computations of a nonstationary free boundary problem. The model is based on processes of molecular diffusion of some products of chemical decomposition of a solid organic substance concentrated in bottom sediments. It takes into account non-stationary multi-component and multi-stage chemical decomposition of organic substances and the processes of sorption desorption under aerobic and anaerobic conditions. Such a model allows one to obtain quantitative estimates of incoming solute organic substances of anthropogenic origin having different molecular weights from the bottom sediments into water and to study the influence of seasonal variations of the concentration of solute oxygen in the near-bottom water on the direction of exchange processes in the system “waterbottom”.
Identification of parameters of the mathematical model with the use of experimental data and with the employment of a priori information of the model's structure is carried out. Comparison of the numerical simulations with experimental data is conducted to the end of verification of efficiency and plausibility of the proposed mathematical model of secondary pollution. It implies assessment of water quality on account of the processes of exchange in the system “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 the water reservoir. },
author = {Kozlov, V. V.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {mathematical modeling; bottom sediments; molecular diffusion; porous medium; secondary pollution; hydrodynamics; ecology; parametric identification; porous medium; secondary pollution},
language = {eng},
month = {10},
number = {5},
pages = {100-113},
publisher = {EDP Sciences},
title = {Modeling Non-Stationary Processes of Diffusion of Solute Substances in the Near-Bottom Layer ofWater Reservoirs: Variation of the Direction of Flows and Assessment of Admissible Biogenic Load},
url = {http://eudml.org/doc/222411},
volume = {4},
year = {2009},
}

TY - JOUR
AU - Kozlov, V. V.
TI - Modeling Non-Stationary Processes of Diffusion of Solute Substances in the Near-Bottom Layer ofWater Reservoirs: Variation of the Direction of Flows and Assessment of Admissible Biogenic Load
JO - Mathematical Modelling of Natural Phenomena
DA - 2009/10//
PB - EDP Sciences
VL - 4
IS - 5
SP - 100
EP - 113
AB - The paper is devoted to mathematical modelling and numerical computations of a nonstationary free boundary problem. The model is based on processes of molecular diffusion of some products of chemical decomposition of a solid organic substance concentrated in bottom sediments. It takes into account non-stationary multi-component and multi-stage chemical decomposition of organic substances and the processes of sorption desorption under aerobic and anaerobic conditions. Such a model allows one to obtain quantitative estimates of incoming solute organic substances of anthropogenic origin having different molecular weights from the bottom sediments into water and to study the influence of seasonal variations of the concentration of solute oxygen in the near-bottom water on the direction of exchange processes in the system “waterbottom”.
Identification of parameters of the mathematical model with the use of experimental data and with the employment of a priori information of the model's structure is carried out. Comparison of the numerical simulations with experimental data is conducted to the end of verification of efficiency and plausibility of the proposed mathematical model of secondary pollution. It implies assessment of water quality on account of the processes of exchange in the system “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 the water reservoir.
LA - eng
KW - mathematical modeling; bottom sediments; molecular diffusion; porous medium; secondary pollution; hydrodynamics; ecology; parametric identification; porous medium; secondary pollution
UR - http://eudml.org/doc/222411
ER -

References

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  1. V.F. Brekhovskikh, G.N. Vishnevskaya, N.A. Gashkina et al. On seasonal change of priority factors, which determine the intensity of consumption of oxygen by grounds of the valley-type water reservoir. Vodniye Resursy, 30 (2003), No. 1, 61–66 (in Russian).  
  2. O.F. Vasilyev, A.F. Voevodin. Mathematical modeling of water quality in systems of open river beds. Dynamica Sploshnoy Sredy. Novosibirsk, 22 (1975), 73–88 (in Russian).  
  3. L.A. Vykhristyuk. Organic substance of bottom sediments of Lake Baikal. Novosibirsk. Nauka, 1980 (in Russian).  
  4. S.K. Godunov, V.S. Ryabenky. Difference schemes. Moscow. Nauka, 1973 (in Russian).  
  5. V.T. Zhukov. Explicitly iterative schemes for parabolic equations. Voprosy Atomnoy Nauky i Techniky. Mathematical Modeling of Physical Processes, 4 (1993), 40–46 (in Russian).  
  6. F.S. Zaytsev, D.P. Kostomarov, I.I. Kurbet. Application of explicit iterative schemes for solving kinetic problems. Mathematical Modeling, 16 (2004), No. 3, 13–21 (in Russian).  Zbl1046.82029
  7. V.V. Kozlov. Elaboration and identification of a non-stationary mathematical model of distribution of polluting substances in a water body. Proc. Intern. Conf. “Computational and Information Technologies in Science, Engineering and Education”, Pavlodar, I (2006), 641–649 (in Russian).  
  8. V.V. Kozlov. Elaboration and identification of a non-stationary mathematical model of distribution of polluting substances in a water object. Irkutsk, 2006. (Preprint of SB RAS. ISDCT. No. 1) (in Russian).  
  9. A.V. Bogdanov, G.D. Rusetskaya, A.P. Mironov, M.A. Ivanova. Complex process of decomposition of the waste of pulp and paper plants. Irkutsk Polytechnic Publishing, Irkutsk, 2000 (in Russian).  
  10. G. Marry. Nonlinear differential equations in biology. Lectures on Models. Mir, Moscow, 1983.  
  11. I.B. Mizandrontsev. Chemical processes in bottom sediments of water reservoirs. Nauka, Novosibirsk, 1990 (in Russian).  
  12. L.G. Loytsyansky. Mechanics of liquid and gas. Nauka, Moscow, 1987 (in Russian).  
  13. P. Rouch. Computational hydrodynamics. Mir, Moscow, 1980.  
  14. Yu.I. Chizmadzhayev, V.S. Markin, M.P. Tarasevich, Yu.G. Chirkov. Macrokinetics of processes in porous media (Fuel elements). Nauka, Moscow, 1971 (in Russian).  
  15. D.R. Aguilera, P. Jourabchi, C. Spiteri, and P. Regnier. A knowledge-based reactive transport approach for the simulation of biogeochemical dynamics in earth systems. Geochemistry, Geophysics and Geosystems, 6 (2005).  
  16. R.A. Berner. Early diagenesis: a theoretical approach. Princeton University Press, Princeton, 1980.  
  17. A. Lerman et al. Geochemical processes: water and sediment environments. Wiley Interscience, New York, 1979.  
  18. W.D. Murray and M. Richardson. Development of biological and process, technologies for the reduction and degradation of pulp mill wastes that pose a threat to human health. Critical Reviews in Environmental Science and Tachnology, 23 (1993). 1157–1194.  
  19. J. Paasivirta. Chemical ecotoxicology. Lewis Publishers, Chelsea, Michigan, 1991.  
  20. P. Regnier, P. Jourabchi, and C.P. Slomp. Reactive-transport modeling as a technique for understanding coupled biogeochemical processes in surface and subsurface environments. Netherlands Journal of Geosciences, 82 (2003), 5–18.  

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