Mathematical modeling of gas extraction from a gas-hydrate reservoir with account of the ice formation

About the authors:

Nail G. Musakaev, Dr. Sci. (Phys.-Math.), Professor, Professor of the Department of Applied and Technical Physics, School of Natural Science, University of Tyumen, Tyumen, Russia; Chief Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences, Tyumen, Russia; musakaev68@yandex.ru, https://orcid.org/0000-0002-8589-9793

Marat K. Khasanov, Cand. Sci. (Phys.-Math.), Associate Professor, Department of Applied Informatics and Programming, Sterlitamak Branch of Bashkir State University; hasanovmk@mail.ru

Abstract:

It has been conducted a theoretical study of the features of gas hydrates decomposition to gas and ice during gas extraction from a gas-hydrate reservoir which is saturated with gas and gas hydrate in the initial state. Self-similar solutions of this problem in the axial-symmetric formulation are derived. These solutions are describing distributions of the main parameters in the reservoir. The condition of formation of the phase transitions extended zone was obtained. The critical values of the mass flow rate of gas extraction, at which the extended zone occurs, were defined. It has been determined that the frontal mode of the gas hydrate dissociation is realized in the porous medium with high permeability and in the reservoirs with low initial temperature.

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