MATHEMATICAL MODEL FILLING DOME SEPARATORS OIL AND HYDRATE
The paper presents a mathematical model of the dome-separator, designed for oil spill response in the development of oil and gas deposits on the ocean floor. The theme is particularly relevant due to the reduction of hydrocarbons in the continent and virtually untouched reserves of raw materials on the seabed. Dome is fixed directly above the leak of hydrocarbons and secured by a reinforced concrete ring. This setting is necessary that all the gas coming out of the hole turns into a hydrate. Dome installed over the leak of oil and gas, in several stages. After the accumulation of oil and hydrate inside the dome connecting pipe to the pumping and their further use. The dependences of the layer thicknesses of oil and gas from the time dependence of the dynamics of the coordinates partition separating the oil phase and hydrate, hydrate and water. The model can be modified by adding a more detailed study of heat fluxes and analysis of initial and boundary conditions for the accumulation of oil and hydrate.