Theoretical Study of Limiting Regimes of Hydrate Formation during Contact of Gas and Water
V. S. Shagapov1, Yu. A. Yumagulova1, N. G. Musakaev2,3
1Institute of Mechanics and Machinery, Kazan Scientific Center, Russian Academy of Sciences, Kazan, 42011, Russia
2Tyumen the Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Tyumen, 625026, Russia
3Tyumen Industrial University, Tyumen, 625000, Russia
Keywords: газовый гидрат, диффузия, фильтрация, теплообмен, gas hydrate, diffusion, filtration, heat
Abstract
A mathematical model is proposed and analytical solutions are constructed for the problem of the growth of a hydrate layer during contact of gas and water for two limiting regimes of gas hydrate formation, determined by mass transfer and heat transfer. Critical values are obtained for thermal parameters and for parameters that determine the flow properties of the hydrate layer (diffusion coefficient and permeability), on which the hydrate formation regime depend.
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