# 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 (2009)

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

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topKozlov, 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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