Geodesic
A fluid dynamics model for a porous media, containing gas hydrate deposits
Matematičeskoe modelirovanie, Tome 25 (2013) no. 10, pp. 32-42

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We consider a system of mass and energy balances describing the dynamics of fluids in a porous media containing gas and gas hydrate deposits. On the basis of this system we derive an equation for a process of hydrates dissipation which allows to study a "thermodynamic" evolution of parameters characterizing the deposit consisting of gas and gas hydrates. We affirm a defining role of jumps in the specific volumes and internal energy during phase transformations affecting the stability of the deposit evolution with respect to dissipative-thermodynamic processes. According to this theory a number of model problems is formulated and studied in numerical experiments.
Keywords: numerical modeling, fluid dynamics, porous medium, gas hydrates
Mots-clés : phase transformations. 
@article{MM_2013_25_10_a2,
     author = {O. Ju. Poveschenko and I. V. Gasilova and I. I. Galiguzova and E. Ju. Dorofeeva and O. G. Olkhovskaya and G. I. Kazakevich},
     title = {A fluid dynamics model for a porous media, containing gas hydrate deposits},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {32--42},
     publisher = {mathdoc},
     volume = {25},
     number = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_10_a2/}
}
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AU  - G. I. Kazakevich
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O. Ju. Poveschenko; I. V. Gasilova; I. I. Galiguzova; E. Ju. Dorofeeva; O. G. Olkhovskaya; G. I. Kazakevich. A fluid dynamics model for a porous media, containing gas hydrate deposits. Matematičeskoe modelirovanie, Tome 25 (2013) no. 10, pp. 32-42. http://geodesic.mathdoc.fr/item/MM_2013_25_10_a2/