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Zbl 0655.76073
Gagneux, G.; Lefevere, A.-M.; Madaune-Tort, M.
Modélisation d'écoulements polyphasiques en milieu poreux par un systéme de problèmes unilateraux. (Multiphase flow modelling in porous media by a system of unilateral problems). (French)
[J] RAIRO, Modélisation Math. Anal. Numér. 22, No.3, 389-415 (1988). ISSN 0764-583X

This paper presents a modelization for a pseudo-compositional compressible black-oil model. The porous medium contains three constituents: the water, the heavy pseudo-constituent of the oil and the volatile pseudo-constituent of the oil. The temperature is supposed to be constant. The physical problem is studied by using a variational formulation for a time-stepping numerical model. An existence result is established and the numerical stability of the scheme is studied.
[R.Stavre]

MSC 2000:: *76T99 None of the above, but in this section
76S05 Flows in porous media
35G10 Initial value problems for linear higher-order PDE
35K25 Higher order parabolic equations, general

Keywords: pseudo-compositional compressible black-oil model; variational formulation; time-stepping numerical model; existence result

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