International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

The growing marine pollution by oil strengthens the interest not only in the methods of combating their causes, but in methods of their forecasting as well on the basis of modeling and calculation of spreading oil spreading on the sea for some reason or other.

The paper dwells on a mathematical model of calculating the area of oil spill spreading. The developed methodology for calculating change in the radius and area of oil spill is represented by function of three arguments: oil product density ρ , spillover volume V and o spreading time t.

The proposed model allows forecasting the initial stages of oil spreading. The given methodology enables to determine transit time of the process of oil spill spreading from the first phase to the second one, and from the second to the third one, and the radius and area of oil spill spreading.

The oil products remain the main contaminant of the Black Sea, as well as of the entire world’s oceans. A main amount of oil is transported by tankers and reloaded in port terminals. 12 per cent of overall marine pollution is the share of transportation, oil congestion and accidents losses. At the Caspian-Black Sea-Mediterranean area there are actively used the Black Sea ports of Batumi, Poti and Kulevi.
A huge damage to the nature is doing by oil spills on the surface of the oceans and seas owing to transportation oil by tankers. These spills are associated with loading and unloading operations as well as with tankers accidents. In this case, the oil spreads as a spot on the surface of the sea.

Problems associated with environmental pollution from the oil spill in the sea, made necessity to develop mathematical models that describe the transportation and transformation processes of oil spills. The proposed mathematical model can be used for prediction of the spread of an oil spill during the process of spreading of oil products on the water surface, and it also enables to take into account the reduction of the area of spill due to the action of sea-surface winds and turbulence of the water surface.