Abstract
The development of a mathematical model of the filtration flow during dissociation of gas hydrates for the two-dimensional case is researched considering the motion of both components of the gas hydrate (water and gas). Non-isothermal effects and the gas being not ideal while filtering liquid and gas are considered; the hydrate dissociation process is assumed to be in equilibrium. A method is developed for solving the system of equations of the mathematical model using an implicit difference scheme, tridiagonal matrix algorithm and simple iterations, as well as a developed method for calculating hydrate saturation. This method allows to find the spatial distributions of the main parameters of the gas-liquid filtration flow (temperature, pressure and phases saturations) for each moment in time, as well as position of the boundary of phase transitions.
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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. 19-31-90043. Formulation of the problem was carried out within the state assignment of Ministry of Science and Higher Education of the Russian Federation (project no. 121030500156-6).
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(Submitted by D. A. Gubaidullin)
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Musakaev, N.G., Belskikh, D.S. & Borodin, S.L. Mathematical Model and Method for Solving the Problem of Non-Isothermal Gas and Liquid Filtration Flow During Dissociation of Gas Hydrates. Lobachevskii J Math 42, 2198–2204 (2021). https://doi.org/10.1134/S1995080221090225
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DOI: https://doi.org/10.1134/S1995080221090225