The induction period of hydrate formation in contact gas and 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

Andrey V. Yalaev, Cand. Sci. (Phys.-Math.), Assistant, Department of Higher and Applied Mathematics, Birsk Branch of Bashkir State University
Oleg A. Shepelkevich, Software engineer, postgraduate Birsk Branch of Bashkir State University

Abstract:

A theoretical model for the description of the initial stage of formation of the hydrate layer at the interface of water and gas hydrate is suggested. According to the present model, this stage (called the induction period), is followed by dissolution of the gas in the water, as well as the formation and growth of the hydrate zone in the bulk impurity particles near the contact. The analytical solution for the characteristic time during which the volume content of the hydrate phase reaches unity is obtained; the unity leads to fi lm - forming, prior to hydrate layer at the gas – water border. This is the typical time taken for the induction. According to the formula, the induction period is inversely dependent on the magnitude of the static pressure of minus two and the third degree of impurity particles.

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