[Découplage de la thermodynamique et hydrodynamique suivant les lignes de courant dans un écoulement gaz–liquide compositionnel en milieux poreux]
On propose une méthode de découplage de la thermodynamique et l'hydrodynamique dans le modèle compositionnel diphasique avec transition de phases, ce qui permet d'obtenir des solutions efficaces semi-analytiques des problèmes découlement suivant les lignes de courant. Le modèle thermodynamique découplé est indépendant et contient des nouvelles équations différentielles thermodynamiques reponsables pour le bilan de masse dans un système thermodynamique ouvert. Le modèle hydrodynamique découplé contient deux équations, pour la pression et la saturation. Le modèle est validé numériquement.
A method of splitting the thermodynamics and hydrodynamics in the model of two-phase compositional flow with phase transitions through porous media is proposed. This enables us to obtain effective solutions to flow problems along streamlines. The split independent thermodynamic subsystem includes new thermodynamic differential equations responsible for the mass balance in an open thermodynamic system. The split hydrodynamic subsystem contains only two flow equations with respect to pressure and saturation. The model is validated numerically.
Accepté le :
Publié le :
Mots-clés : Milieux poreux, Écoulement diphasique, Gaz-condensate, Gaz–liquide, Transition de phase, Compositionnel
Sergey Oladyshkin 1 ; Mikhail Panfilov 1
@article{CRMECA_2007__335_1_7_0,
author = {Sergey Oladyshkin and Mikhail Panfilov},
title = {Streamline splitting between thermodynamics and hydrodynamics in a compositional gas{\textendash}liquid flow through porous media},
journal = {Comptes Rendus. M\'ecanique},
pages = {7--12},
publisher = {Elsevier},
volume = {335},
number = {1},
year = {2007},
doi = {10.1016/j.crme.2006.12.001},
language = {en},
}
TY - JOUR AU - Sergey Oladyshkin AU - Mikhail Panfilov TI - Streamline splitting between thermodynamics and hydrodynamics in a compositional gas–liquid flow through porous media JO - Comptes Rendus. Mécanique PY - 2007 SP - 7 EP - 12 VL - 335 IS - 1 PB - Elsevier DO - 10.1016/j.crme.2006.12.001 LA - en ID - CRMECA_2007__335_1_7_0 ER -
%0 Journal Article %A Sergey Oladyshkin %A Mikhail Panfilov %T Streamline splitting between thermodynamics and hydrodynamics in a compositional gas–liquid flow through porous media %J Comptes Rendus. Mécanique %D 2007 %P 7-12 %V 335 %N 1 %I Elsevier %R 10.1016/j.crme.2006.12.001 %G en %F CRMECA_2007__335_1_7_0
Sergey Oladyshkin; Mikhail Panfilov. Streamline splitting between thermodynamics and hydrodynamics in a compositional gas–liquid flow through porous media. Comptes Rendus. Mécanique, Volume 335 (2007) no. 1, pp. 7-12. doi : 10.1016/j.crme.2006.12.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.12.001/
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[2] S. Oladyshkin, M. Panfilov, Two-phase flow with phase transitions in porous media: instability of stationary solutions and a semi-stationary model, in: Third Biot Conference on Poromechanics, Norman, Oklahoma, USA, 2005, pp. 529–535
[3] Petroleum Reservoir Simulation, Applied Science Publishers, London, 1979
[4] Near-critical gas–liquid flow in porous media: monovariant model, analytical solutions and convective mass exchange effects, Transport in Porous Media, Volume 56 ( July 2004 ) no. 1, pp. 61-85
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