Mathematical study of a petroleum-engineering scheme

  title={Mathematical study of a petroleum-engineering scheme},
  author={Robert Eymard and Rapha{\`e}le Herbin and Anthony Michel},
Abstract. Models of two phase flows in porous media, used in petroleum engineering, lead to a system of two coupled equations with elliptic and parabolic degenerate terms, and two unknowns, the saturation and the pressure. For the purpose of their approximation, a coupled scheme, consisting in a finite volume method together with a phase-by-phase upstream weighting scheme, is used in the industrial setting. This paper presents a mathematical analysis of this coupled scheme, first showing that… CONTINUE READING


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A density result in sobolev spaces

  • J. Droniou
  • J. Math. Pures Appl. 81
  • 2002


  • R. Eymard, T. Gallouët, R. Herbin, A. Michel
  • Numer. Math. 92
  • 2002

Error estimate for approximate solutions of a nonlinear convection-diffusion problem

  • R. Eymard, T. Gallouët, R. Herbin
  • Adv. Differential Equations 7
  • 2002

Mathematical and numerical study of an industrial scheme for two-phase flows in porous media under gravity

  • G. Enchéry, R. Eymard, R. Masson, S. Wolf
  • Comput. Methods Appl. Math. 2
  • 2002

Convergence de schémas volumes finis pour des problèmes de convection diffusion non linéaires

  • A. Michel
  • Ph.D. thesis, Université de Provence, France
  • 2001

Degenerate two - phase incompressible flow ii : regularity , stability and stabilization

  • R. Ewing
  • 2001

Modeling wells in porous media flow

  • P. Fabrie, T. Gallouët
  • Math. Models Methods Appl. Sci. 10
  • 2000

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