Abstract
Mathematical model is proposed that describes the process of pumping 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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