Geodesic
A mathematical model of ideal gas hydrate decomposition in a reservoir through decreasing pressure and simultaneous heating
Matematičeskie zametki SVFU, Tome 26 (2019), pp. 83-97.

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A mathematical model of the process of dissociation of hydrates coexisting in a thermodynamically equilibrium state in a reservoir by reducing the pressure and increasing the temperature in the gallery of wells is implemented numerically. It is shown that at certain values of depression and initial hydrate saturation, the value of the latter at the well approaches zero. A mathematical model developed by G. G. Tsypkin in 2009 is implemented numerically. In the system of coupled heat and mass transfer equations, the energy conservation equation contains terms that take into account convective and conductive heat transfer, as well as the latent heat of the phase transition. It is shown that at low values of initial hydrate saturation even strong enough heating has little effect on the dynamics of the moving boundary separating the region with phase transition from the area without phase transition. The results of numerical implementations are given in the form of graphs.
Mots-clés : phase transition, filtration
Keywords: thermodynamic equilibrium, thermal conductivity, water saturation, hydrate saturation, pressure, density, gas hydrates. 
@article{SVFU_2019_26_a7,
     author = {V. V. Popov},
     title = {A mathematical model of ideal gas hydrate decomposition in a reservoir through decreasing pressure and simultaneous heating},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {83--97},
     publisher = {mathdoc},
     volume = {26},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2019_26_a7/}
}
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V. V. Popov. A mathematical model of ideal gas hydrate decomposition in a reservoir through decreasing pressure and simultaneous heating. Matematičeskie zametki SVFU, Tome 26 (2019), pp. 83-97. http://geodesic.mathdoc.fr/item/SVFU_2019_26_a7/