Solving stiff mass transfers in compositional multiphase flow models: Numerical stability and spurious solutions |
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Authors: | Philippe Tardy Michel Quintard |
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Institution: | (1) Schlumberger Cambridge Research, High Cross, Madingley Road, Cambridge, CB3 0JE, England;(2) Institut de Mécanique des Fluides de Toulouse, Allée du Pr. Camille Soula, 31400 Toulouse, France |
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Abstract: | This paper points out two numerical problems linked to the resolution of compositional multiphase flow models for porous media
with the finite‐volume technique. In particular, we consider fluid mixtures featuring fast mass transfers between the phases,
hence stiff. In this context, we show how the computation of mass exchange kinetics can be expensive and that erroneous saturation
front locations arise. A numerical splitting method is developed which is proven to be stable with advection‐type time steps,
whatever the stiffness of the mass transfer. The erroneous front location problem is illustrated and shown to be intrinsically
linked to the numerical diffusion. If we assume that the fluids are in thermodynamical equilibrium, we find that spurious
solutions can be avoided by deriving and solving a new uncoupled hyperbolic equation for the saturation.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | flow in porous media finite volumes numerical stability spurious solutions 65M06 76S05 65P05 |
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