Methodology for the Numerical Study of the Methane Hydrate Formation During Gas Injection into a Porous Medium
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 so...
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| Veröffentlicht in: | Lobachevskii journal of mathematics 2020-07, Vol.41 (7), p.1272-1277 |
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| container_issue | 7 |
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| container_title | Lobachevskii journal of mathematics |
| container_volume | 41 |
| creator | Musakaev, N. G. Borodin, S. L. Gubaidullin, A. A. |
| description | 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. |
| doi_str_mv | 10.1134/S199508022007032X |
| format | Article |
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| ispartof | Lobachevskii journal of mathematics, 2020-07, Vol.41 (7), p.1272-1277 |
| issn | 1995-0802 1818-9962 |
| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Algebra Analysis Gas injection Geometry Ideal gas Mathematical analysis Mathematical Logic and Foundations Mathematical models Mathematics Mathematics and Statistics Methane hydrates Methodology Porous media Probability Theory and Stochastic Processes Qualitative analysis Self-similarity Water purification |
| title | Methodology for the Numerical Study of the Methane Hydrate Formation During Gas Injection into a Porous Medium |
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