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JOURNALS // Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie // Archive

Vestnik YuUrGU. Ser. Mat. Model. Progr., 2023 Volume 16, Issue 2, Pages 68–77 (Mi vyuru686)

Mathematical Modelling

Modelling the process of non-equilibrium hydrate formation in a porous reservoir

M. K. Khasanova, S. R. Kildibaevaa, M. V. Stolpovskiyb

a Ufa University of Science and Technology, Sterlitamak, Russian Federation
b Ufa State Petroleum Technological University, Ufa, Russian Federation

Abstract: This paper presents a solution to the flat-dimensional problem of gas hydrate formation in a porous medium. Highly permeable reservoirs are considered, as a result of which it is assumed that the process accompanied by the transition of gas into the hydrate composition is nonequilibrium. Based on the numerical solution, the influence of injection pressure and formation permeability on the peculiarities of phase transitions process has been studied. It is shown that with an increase in the injection pressure, both the maximum possible temperature of the system and the length of the hydrate-containing region increase. It has been found that the maximum temperature realized in the system, depending on the permeability of the reservoir, has a non-monotonic character. The influence of the initial temperature of the porous reservoir on the dynamics of phase transitions has been studied.

Keywords: gas hydrate, phase transitions, nonequilibrium process, porous medium, kinetics.

UDC: 532.546:536.421

MSC: 93X30

Received: 02.02.2023

Language: English

DOI: 10.14529/mmp230207



© Steklov Math. Inst. of RAS, 2024