Numerical schemes for the Barenblatt model of non-equilibrium two phase flow in porous media (Altre pubblicazioni)

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  • Numerical schemes for the Barenblatt model of non-equilibrium two phase flow in porous media (Altre pubblicazioni) (literal)
Anno
  • 2005-01-01T00:00:00+01:00 (literal)
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  • D. Aregba-Driollet, G. Bretti, R. Natalini (2005)
    Numerical schemes for the Barenblatt model of non-equilibrium two phase flow in porous media
    (literal)
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  • D. Aregba-Driollet, G. Bretti, R. Natalini (literal)
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  • IAC Report 78 (7/2005); to appear in Quarterly Appl. Math. (literal)
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  • We introduce some numerical approximations to a quasilinear problem, proposed by G. I. Barenblatt to describe non-equilibrium two-phase fluid flow in permeable porous media, with the application to the secondary oil recovery from natural reservoirs. Taking into account the theoretical results of global existence and uniqueness, approximated solutions are computed by three numerical schemes, namely, the Diagonal First Order schemes (DFO and DFO2) and the Diagonal Second Order scheme (DSO). For DFO scheme convergence is proved. The schemes' behaviour is analysed and discussed through some numerical experiments. (literal)
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  • Memorie interne (literal)
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  • Mathématiques Appliquées de Bordeaux, Université Bordeaux 1, Bordeaux, France; Istituto per le Applicazioni del Calcolo “M. Picone”, CNR (literal)
Titolo
  • Numerical schemes for the Barenblatt model of non-equilibrium two phase flow in porous media (literal)
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