Abstract
Mathematical model is proposed that describes the process of pum** gas into a porous medium initially filled with methane and water. Non-ideal gas and non-isothermal effects during its filtration are taken into account. The hydrate formation process is assumed to be equilibrium. Methodology for solving the system of equations of the mathematical model is constructed. The methodology was tested, in the one-dimensional axisymmetric case the calculation results were compared with a self-similar solution for a perfect gas, which showed a good qualitative and quantitative agreement.
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Funding
The algorithm construction for solving the considered problem and the computer program development were supported by the Russian Foundation for Basic Research grant No. 18-29-10023.
Formulation of the problem was carried out within the framework of the Program of Fundamental Scientific Research of the State Academies of Sciences in 2013-2020 (project no. AAAA-A17-117030610130-1).
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Musakaev, N.G., Borodin, S.L. & Gubaidullin, A.A. Methodology for the Numerical Study of the Methane Hydrate Formation During Gas Injection into a Porous Medium. Lobachevskii J Math 41, 1272–1277 (2020). https://doi.org/10.1134/S199508022007032X
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DOI: https://doi.org/10.1134/S199508022007032X