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Article information
2016 , Volume 21, ¹ 6, p.3-17
Aseev N.A., Sheloput T.O.
Mathematical model of oil spill propagation at the sea surface
The purpose of the study is devoted to the development of the new oil spill model describing the propagation of a slick at the sea surface. The model is two-dimensional and applicable to instant leakages at the sea surface. The model describes basic processes of the oil slick evolution: oil transport due to currents, drift under the action of wind, spreading on the surface, evaporation, emulsification and dispersion. Such parameters as slick location, mass, density of oil, water content, viscosity and density of “water-in-oil” emulsion are modeled. The model relies on experimental and theoretical open-source investigations on the processes of oil transport and degradation. The core of the model consists of the random walk technique. According to this technique, the slick is divided into the crowd of smaller parts (so called markers). Coordinates and basic physical and chemical parameters are calculated for each marker. Transport of the whole slick is described by means of trajectories of all markers. Changing in physical and chemical parameters is used to describe the correspondent changes in physical and chemical parameters of the slick. New equation is obtained to calculate the evolution of mass of markers. The equation is based on additional oil losses. It takes into account oil spreading, evaporation and dispersion. Explicit methods of time discretization are used for numerical solution of the system of equation. A range of numerical experiments was conducted to model the parameters of the oil spill resulted in an accident at the surface of the Baltic Sea. The results qualitatively reconstruct observations. However, more precise comparison is required for the model adjustment using experimental data.
[full text]
Keywords: Oil pollution, mathematical modelling
Author(s):
Aseev Nikita Alexandrovich
Position: Student
Office: Moscow Institute of Physics and Technology
Address: 141700, Russia, Dolguprudnyy, Institutskiy Pereulok Str., 9
E-mail: nikita.aseev@phystech.edu
Sheloput Tatyana Olegovna
Position: Student
Office: Moscow Institute of Physics and Technology
Address: 141700, Russia, Dolguprudnyy, Institutskiy Pereulok Str., 9
E-mail: tania_chel@list.ru
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Bibliography link:
Aseev N.A., Sheloput T.O. Mathematical model of oil spill propagation at the sea surface // Computational technologies. 2016. V. 21. ¹ 6. P. 3-17
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