The features of hydrate particles formation in still water

About the authors:

Vladislav Sh. Shagapov, Dr. Sci. (Phys.-Math.), Professor, Chief Researcher, Mavlyutov Institute of Mechanics, Ufa Investigation Center of the Russian Academy of Sciences; shagapov@rambler.ru

Angelina S. Chiglintseva, Associate Professor, Cand. Phys. and Math. Sci., Department of Higher Mathematics Birsk Branch of Bashkir State University
Alex A. Rusinov, Assistant, Department of Higher and Applied Mathematics, Birsk Branch of Bashkir State University

Abstract:

The paper presents a theoretical model of the process of migration of methane bubbles in water at temperature and pressure conditions for hydrate formation. Numerical solutions for the two limiting cases have been obtained and analyzed. These cases are when the rate of formation of hydrated shell on the surface of the bubble is limited by the intense heat released during hydrate formation, the surrounding liquid, or gas diffusion. Comparative analysis of the numerical results have proved that the scheme diffusive transport of gas through the hydrate shell is a limit, which gives the slowest rate of growth of gas hydrate particles. Numerical estimates for the values of the reduced diffusion coeffi cient of gas through the hydrate shell can be obtained from the best agreement between the theoretical and experimental data on the change in radius of gas hydrate particles.The feature of the migration rate, as well as the distribution of the radius and the volume content of bubbles of gas hydrate systems have been studied.

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