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In this work various physical and mathematical models, used in the study of oil slick spreading, were considered. A very common approach for estimating the size of oil slicks on the water surface is to simplify the mathematical formulation of the spreading problem. In this formulation, it is assumed that the balance of the force of resistance to the movement of oil and the prevailing force of the forces causing the movement. (Программа конференции: https://ipmnet.ru/files/conf/2021geo/Program_GEO_2021_ver2021_10_14.pdf)