Mathematical modeling of carbon dioxide injection process in reservoir saturated with methane and its hydrate

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:

We introduce the mathematical model and study the process peculiarities of gas hydrate formation at the injection of carbon dioxide into the porous medium initially saturated with methane and its hydrate. Self-similar solutions of the axisymmetric problem that describe the distribution of main parameters in the reservoir are obtained. It is shown that there are solutions, according to which the process can occur without dissociation of the source gas hydrate into methane and water, as well as with dissociation. The critical diagrams of solution existence for each type are built.

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