Gibbs energy analysis: Compositional tie-simplex space

Iranshahr, Alireza; Voskov, Denis

doi:10.1016/j.fluid.2012.02.001

Cited by 12 publications

(5 citation statements)

References 20 publications

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“…An example of a simple error estimator applied for a limited case of property interpolation can be found in [17]. The extension to systems with more than two-phases can be performed based on a tie-simplex parametrization approach [32,33].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Operator-based linearization approach for modeling of multiphase multi-component flow in porous media

Voskov

2017

Journal of Computational Physics

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Recently, several advanced nonlinear formulations were developed for compositional simulations [5,6]. All of these approaches propose a better way of dealing with phase changes. However, these formulations were never tested for complex realistic problems. The idea described in [5] was adapted for a general purpose simulation and tested against state of the art approaches [7]. For the problems of practical interest, this formulation demonstrated only insignificant improvements with respect to conventional methods.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Operator-based linearization approach for modeling of multiphase multi-component flow in porous media

Voskov

2017

Journal of Computational Physics

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“…However, for three‐phase systems, the entire plane defined by a tie‐triangle needs to be parameterized. We can show that this is necessary to guarantee the global minimization of the Gibbs free energy . Note that only a few tie‐triangle planes parameterize the solution path in a three‐phase compositional displacement .…”

Section: Csatmentioning

confidence: 97%

“…Note that a limited number of tie‐simplex tables are generated in this formulation. Furthermore, additional negative‐flash calculations are performed to resolve the accurate phase‐state of mixtures that are too close to the phase boundaries …”

Section: Csatmentioning

confidence: 99%

Tie‐simplex based compositional space parameterization: Continuity and generalization to multiphase systems

Iranshahr

Voskov

2012

AIChE Journal

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A theoretical analysis is provided of the continuity of multiphase compositional space parameterization for thermalcompositional reservoir simulation. It is shown that the tie-simplex space changes continuously as a function of composition, pressure, and temperature, and this justifies the Compositional Space Adaptive Tabulation (CSAT) framework, in which a discrete number of tie-simplexes are constructed, tabulated, and reused in the course of a simulation. The CSAT is extended for thermal-compositional displacements for mixtures that can form an arbitrary number of phases. In particular, the construction is described of three-phase tie-simplex tables, and it is shown how the degeneration of multiphase regions can be accurately captured over wide ranges of temperature and pressure. Several challenging multiphase examples are used to demonstrate the accuracy and effectiveness of phase-state identification using tabulated tie-simplexes.

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“…The reason for using the Gibbs free-energy is that it is an intensive thermodynamic property that is continuous in the entire compositional space (Figure 7). Note that each tie-line has a unique Gibbs free-energy for each phase at fixed pressure and temperature [22].…”

Section: Numerical Implementationmentioning

confidence: 99%

“…Also, the use of Gibbs free energy might be further exploited as it is intimately related to thermodynamic stability. [22] shows how CSP yields the global minimum of Gibbs energy, where such a framework can help in identifying better ways of reflecting miscibility in the super-critical region. The next section will present the impact of such methods on simulation results and performance.…”

Section: Miscibility In the Single-phase Regionmentioning

confidence: 99%