EVALUATION OF THE EFFECT OF PETROLEUM HYDROCARBONS ON THE OXYGEN REGIME OF A SHALLOW WATER
https://doi.org/10.23947/2587-8999-2022-1-3-96-103
Abstract
The paper covers the influence of petroleum hydrocarbons on the oxygen regime of a shallow water, as well as on zooplankton populations sensitive to lack of oxygen and oil pollution even at their low concentrations. A mathematical model of biological kinetics is constructed taking into account the number of abiotic and biotic factors that directly affect the water ecosystem: the movement of the water environment, microturbulent diffusion, temperature regime, illumination, wind stresses, salinity, concentration of oxygen dissolved in water. The model is implemented in a software focused on a high-performance computer system. Nonlinear dependences in the rate of growth of zooplankton concentrations are introduced, taking into account the influence of oil pollution. This makes it possible to determine their dynamics in conditions of insufficient oxygen supply with spatial and temporal variability of temperature and illumination. The problem discretization is based on the difference scheme that takes into account the partial occupancy of the computational cells. This made it possible to increase the simulation accuracy of hydrobiological processes and phenomena.
Keywords
About the Authors
A. A. FilinaRussian Federation
Filina Alena Aleksandrovna, scientific researher, Candidate of Science in Tech,
Italyanski lane 106, Taganrog, Russian Federation
A. V. Nikitina
Russian Federation
Nikitina Alla Valer'evna, 1Doctor of Science in Tech, Professor of the Department of Computer Engineering and Automated Systems
1st Gagarin Square, Rostov-on-Don, Russian Federation
A. E. Chistyakov
Russian Federation
Chistyakov Aleksander Evgenievich, Doctor of Science in Physics and Maths, Professor of the Department of Computer Engineering and Automated Systems
1st Gagarin Square, Rostov-on-Don, Russian Federation
Yu. V. Belova
Russian Federation
Belova Yulia Valerievna, Associate Professor of the Department of Mathematics and Computer Science
1st Gagarin Square, Rostov-on-Don, Russian Federation
References
1. Koval, L.G. Zoo- and necrosooplankton of the Black Sea. Kiev: Nauk. dumka, 1984. 127 p.
2. Samain, J.F., Moal, J., Coum, A., et al. Effects of the "Amoco Cadiz" oil spill on zooplankton // Helgolander Meeresunters. 1980. Vol. 33. pp 225-235. Doi.org/10.1007/BF02414748.
3. Petipa, T.S. On the average weight of the main forms of zooplankton of the Black Sea // Tr. Sevastop. biol. art., 1957. No. 9. pp. 39-57.
4. Repetin, L.N., Gordina, A.D., Pavlova, E.V. et al. The influence of oceanographic factors on the ecological state of the Sevastopol Bay (Black Sea) // Morsk. hydrophysics journal. 2003. Vol. 2. No. 2. pp. 66-80.
5. Pavlova, E.V., Murina, V.V., Kuftarkova, E.A. Hydrochemical and biological studies in Omega Bay (Black Sea. Sevastopol shelf) // Environmental safety of coastal and shelf zones and integrated use of shelf resources. 2001. Issue. 2. pp. 159-176.
6. Comprehensive researches of the environment and biota situation in the Kerch Strait after ship accidents on November 11: report on research / InBUM NASU; A. R. Boltachev. Sevastopol, 2007. 132 p.
7. Matishov, G.G., Berdnikov, S.V., Savitsky, R.M. Ecosystem monitoring and assessment of the impact of oil spills in the Kerch Strait. Ship accidents in November 2007. Preprint. Rostov-on-Don: SSC RAS, 2008. 78 p.
8. Sukhinov, A.I., Chistyakov, A.E., Alekseenko, E.V. Numerical realization of the three-dimensional model of hydrodynamics for shallow water basins on a high-performance system // Mathematical Models and Computer Simulations. 2011. 3 (5). pp. 562-574.
9. Chetverushkin, B.N. Limits of detail and formulation of models of the continuum equation // Mathem. modeling. 2012. Vol. 24. No. 11. p. 33.
10. Sukhinov, A.I., Chistyakov, A.E., Nikitina, A.V., Belova, Y.V., Sumbaev, V.V., Semenyakina, A.A. Supercomputer modeling of hydrochemical condition of shallow waters in summer taking into account the influence of the environment // Communications in Computer and Information Science. 2018. Vol. 910. pp. 336-351.
11. UNESCO Progress on oceanographic tables and standards 1983–1986: work and recommendations of the UNESCO/SCOR/ ICES/IAPSO Joint Panel // Unesco Technical Papers in Marine Science. 1986. Vol. 50. p. 59.
12. Schneider, B., Nausch, G., Kubsch, H., Peterson I. Accumulation of total CO2 during stagnation in the Baltic deep water and its relationship to nutrient and oxygen concentrations // Marine Chemistry. 2002. Vol. 77. p. 277-291.
13. Sukhinov, A.I., Chistyakov, A.E., Sidoryakina, V.V., Protsenko, S.V., Atayan, A.M. Locally two-dimensional splitting schemes for parallel solution of a three-dimensional problem of suspended matter transport // Mathematical physics and computer modeling. 2021. Vol. 24. No. 2. pp. 38-53.
14. Sukhinov, A.I., Chistyakov, A.E., Protsenko, E.A., Atayan, A.M. Linear combination of the "cabaret" and "cross" schemes with weight coefficients obtained from the condition of minimizing the order of approximation error // Chebyshevsky collection. 2020. Vol. 21. No. 4 (76). pp. 243-256.
Review
For citations:
Filina A.A., Nikitina A.V., Chistyakov A.E., Belova Yu.V. EVALUATION OF THE EFFECT OF PETROLEUM HYDROCARBONS ON THE OXYGEN REGIME OF A SHALLOW WATER. Computational Mathematics and Information Technologies. 2022;6(3):96-103. https://doi.org/10.23947/2587-8999-2022-1-3-96-103