Implicit treatment of molar mass equations in secondary oil migration

Chaib, Mohamed; Fladmark, G. E.; Espedal, Magne S.

doi:10.1007/s007910100071

Cited by 7 publications

(1 citation statement)

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“…This method does not only allow a full geometrical treatment of fault and matrix but it also serves as a middle step between the sequential and parallel processing, see References [10,11] for a comparison with other simulators. Obviously, the above discretization introduces a CFL condition that severely restricts the time step [12]. In order to avoid the time step restriction imposed from the CFL condition, we propose two implicit numerical schemes which deal with the mass conservative dynamical behavior while reducing the numerical e ort.…”

Section: Introductionmentioning

confidence: 99%

An improved numerical simulator for multiphase flow in porous media

Garrido

Fladmark

Espedal

2004

Numerical Methods in Fluids

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SUMMARYIn basin modelling the thermodynamics of a multicomponent multiphase uid ux are computationally too expensive when derived from an equation of state and the Gibbs equality constraints. In this article we present a novel implicit molar mass formulation technique using binary mixture thermodynamics. The two proposed solution methods, with and without cross derivative terms between components, are based on a preconditioned Newton-GMRES scheme for each time-step with analytical computation of the derivatives. These new algorithms reduce signiÿcantly the numerical e ort for the computation of the molar masses, and we illustrate the behavior of these methods with numerical computations.

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Section: Introductionmentioning

confidence: 99%