# Mathematical modeling of oil spill migration on the surface of the Caspian Sea depending on weather conditions

## Keywords:

oil spill, the Caspian Sea, oil slick, the environment, weather conditions, mathematical modeling## Abstract

This paper considers the process of filling and migration of fossil fuels - oil - in the Caspian Sea,

depending on the weather conditions. As a rule, for environmentalists performing analysis of the

emergency, it is necessary to know in which direction will move the oil slick, formed because of

the spill, how to change the composition of the oil, how much oil will evaporate and a number

of other questions that can be answered using mathematical modeling. The theoretical basis of a

mathematical model for the process consists of the hydrodynamics equations of the sea, equations

of transfer and changes in the concentration of the oil component, as well as the continuity equation

is taken into account, expressing the an invariance of the total amount of mass of poured oil, which

have formed a film on the surface of the sea. As a result, the migration trajectory, the change in

concentration and temperature of the oil slick on the sea surface from a fixed source, depending

on weather conditions are defined. This model allows to calculate the area and determine the

migration trajectory of the oil slick on the Caspian sea depending on the weather conditions, and

carry out the numerical simulation of oil spills in the open sea at different initial masses of spilled

oil.

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## How to Cite

*Journal of Mathematics, Mechanics and Computer Science*,

*92*(4), 88–98. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/548