Multiphase equilibria calculation by direct minimization of Gibbs free energy with a global optimization method

Nichita, Dan Vladimir; Gómez, Susana; Luna, Eduardo Manuel González de

doi:10.1016/s0098-1354(02)00144-8

Cited by 142 publications

(77 citation statements)

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“…It is able to find a sequence of minima, using only one initial guess (one run), that converges to the global solution. It has been proved to be robust for problems where multiple global minima at the same level of the objective function value are expected, see for instance Go´mez et al [35], Nichita et al [36] and Nichita and Go´mez [37]. There also exist parallel implementations of the TM, see Go´mez et al [38].…”

Section: The Tunneling Global Optimization Methodsmentioning

confidence: 99%

“…A discussion on tolerances can be found in Castellanos and Go´mez [41] and specific tolerances required to search for multiple global minima at the same level are given by Nichita et al [36]. The general stopping conditions and the most important features of the TM as placing mobile poles and pole strength among others are described in detail by Go´mez et al in [35].…”

Section: S Go´mez Et Al / Well Test Analysis Of Naturally Fracturedmentioning

confidence: 99%

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Well Test Analysis of Naturally Fractured Vuggy Reservoirs with an Analytical Triple Porosity – Double Permeability Model and a Global Optimization Method

Gómez¹,

Ramos²,

Mesejo

et al. 2014

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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Geosciences Numerical Methods Modélisation numérique en géosciencesOil & Gas Science and Technology -Rev. IFP Energies nouvelles, Vol. 69 (2014), No. 4, Copyright © 2014, IFP Energies nouvelles > EditorialJ. E. Roberts > Modeling Fractures in a Poro-Elastic MediumUn modèle de fracture dans un milieu poro-élastique > Modeling Fluid Flow in Faulted BasinsModélisation des transferts fluides dans les bassins faillés Re´sume´-Analyse des puits d'essai de re´servoirs vacuolaires naturellement fracture´s avec un mode`le de triple porosite´-double perme´abilite´et une me´thode d'optimisation globale -L'objectif de ce travail est l'e´tude de la caracte´risation automatique de re´servoirs de pe´trole fracture´s ve´siculaires via l'analyse des puits d'essai, avec un mode`le de triple porosite´et de perme´abilite´double. Les parame`tres qui doivent eˆtre identifie´s comme ceux du mode`le, sont l'e´coulement entre les trois media, les ratios de stockage, la porosite´, le ratio de perme´abilite´, l'effet de stockage, la perme´abilite´de peau et totale. Dans ce travail, nous avons effectueĺ 'interpre´tation de l'essai dans l'espace de Laplace, en utilisant des algorithmes nume´riques pour transfe´rer les donne´es obtenues dans un espace de temps complet en un espace de Laplace. Le proble`me de l'interpre´tation des tests dans l'espace de Laplace est pose´comme un proble`me d'optimisation des moindres carre´s non line´aires avec boıˆte contrainte et ine´galite´line´aire contrainte, ce qui est ge´ne´ralement re´solu en utilisant des me´thodes de type Newton avec une re´gion de confiance. Cependant, les me´thodes locales comme celle utilise´e dans notre travail appele´e TRON, ou la me´thode bien connue de Levenberg-Marquardt, ne sont pas souvent en mesure de trouver une solution optimale avec un bon ajustement des donne´es. É galement la caracte´risation automatique des re´servoirs du pe´trole fracture´s vacuolaires via l'analyse des puits d'essai avec le mode`le de porosite´-perme´abilite´a`double triple, peut, comme la plupart des proble`mes inverses, donner des solutions multiples avec une bonne corre´lation des donne´es. Pour faire face a`ces spe´cificite´s, nous avons utilise´une approche avec la me´thode d'optimisation globale appele´e Tunneling Method (TM). Dans l'adaptation de l'algorithme, nous prenons en compte des proble`mes comme le fait que le l'estimation des parame`tres doit eˆtre formule´e avec une grande pre´cision, comme la pre´sence de bruit dans les mesures et comme la ne´cessite´de re´soudre le proble`me de calcul rapidement. Nous de´montrons dans cette e´tude que l'utilisation de TM est une alternative efficace et robuste pour re´soudre la caracte´risation des puits d'essai, du fait que plusieurs solutions avec un bon ajustement aux donne´es aient e´te´obtenues.Oil & Gas Science and Technology -Rev. IFP Energies nouvelles, Vol. 69 (2014), No. 4, pp. 653-671 Copyright Ó 2014, IFP Energies nouvelles DOI: 10.2516 Abstract -Well Test Analysis of Naturally Fractured Vuggy Reservoirs with an Analytical Triple P...

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Section: The Tunneling Global Optimization Methodsmentioning

confidence: 99%

Section: S Go´mez Et Al / Well Test Analysis Of Naturally Fracturedmentioning

confidence: 99%

Well Test Analysis of Naturally Fractured Vuggy Reservoirs with an Analytical Triple Porosity – Double Permeability Model and a Global Optimization Method

Gómez¹,

Ramos²,

Mesejo

et al. 2014

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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“…In order to overcome this difficulty we have considered an optimization approach that allows the calculation of the chemical composition of the system minimizing the Gibbs free energy. This methodology has been frequently used to describe closed multiphase systems (Faungnawakih et al, 2007;Faungnawakih et al, 2006;Solórzano et al, 2004;Nichita et al 2002;Lee et al, 1999;Ansari and Pandis, 1999;Soares et al, 1982) and is based on the fact that Gibbs free energy of these systems must be minimum at the equilibrium.…”

Section: Methodsmentioning

confidence: 99%

Reduction efficiency prediction of CENIBRA's recovery boiler by direct minimization of gibbs free energy

Silva¹,

Ribeiro²,

Junior

et al. 2008

Braz. J. Chem. Eng.

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-The reduction efficiency is an important variable during the black liquor burning process in the Kraft recovery boiler. This variable value is obtained by slow experimental routines and the delay of this measure disturbs the pulp and paper industry customary control. This paper describes an optimization approach for the reduction efficiency determination in the furnace bottom of the recovery boiler based on the minimization of the Gibbs free energy. The industrial data used in this study were directly obtained from CENIBRA´s data acquisition system. The resulting approach is able to predict the steady state behavior of the chemical composition of the furnace recovery boiler, -especially the reduction efficiency when different operational conditions are used. This result confirms the potential of this approach in the analysis of the daily operation of the recovery boiler.

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“…optimization method called Tunneling was suggested that is able to escape from local minima and saddle points, and it's a suitable method for many problems associated with the mathematical issues such as local minimum or/and saddle points [10].…”

Section: Introductionmentioning

confidence: 99%

“…In accordance with the runtime issue of solving algorithms in the fluid phase equilibrium problems, a method was proposed to accelerate convergence rate of Successive substitution algorithm [10]. After that, a two-phase field flow inside an oil-gas separator with software Fluent was simulated.…”

Section: Introductionmentioning

confidence: 99%

Development an Easy-to-Use Simulator to Thermodynamic Design of Gas Condensate Reservoir’s Separators

Bakyani¹,

Heidari²,

Rasti³

et al. 2018

MNSMS

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Separator design in petroleum engineering is so important because of its important role in the evaluation of optimum parameters and also to achieve to maximum stock tank liquid. However, no simulator exists that simultaneously and directly optimizes the parameters "pressure", "temperature", and so on. On the other hands, Commercial simulators fix one parameter and vary another parameter to achieve the optimum conditions. So, they need long-time simulation. Moreover, gas condensate reservoirs, like another reservoirs, have this problem as well. In present paper, a self-developed simulator applied in the optimized design of gas condensate reservoir's separators by determining optimized pressure, temperature, and number of separators in order to obtain maximized tank liquid volume and minimized tank liquid density utilizing Matlab software and other commercial simulators such as Aspen-Plus, Aspen-Hysys, and PVTi to do a comparison. Also, each software was separately tested with one, two, and three separators to obtain the optimum number of separators. Additionally, Peng-Robinson equation of state (PR EOS) has been applied in the simulation. For simulation input, a set of field data of gas condensate reservoir has been utilized, as well. The results show a good compatibility of this simulator with other simulators but in so little runtime (this simulator calculates the optimum pressure and temperature in a wide range of pressures and temperatures with the help of a simultaneous optimization algorithm in one stage) and the highest stock tank liquid is calculated with this simulator in comparison to other simulators. Also, with the help of this simulator, we are able to obtain the optimum pressure, temperature, and the number of separators in the gas condensate reservoir's separators with any desired properties. Finally, this simulator optimizes the temperatures for each separator and obtains very good results despite the other simulators that fix temperatures for all separators in most times.

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Multiphase equilibria calculation by direct minimization of Gibbs free energy with a global optimization method

Cited by 142 publications

References 34 publications

Well Test Analysis of Naturally Fractured Vuggy Reservoirs with an Analytical Triple Porosity – Double Permeability Model and a Global Optimization Method

Well Test Analysis of Naturally Fractured Vuggy Reservoirs with an Analytical Triple Porosity – Double Permeability Model and a Global Optimization Method

Reduction efficiency prediction of CENIBRA's recovery boiler by direct minimization of gibbs free energy

Development an Easy-to-Use Simulator to Thermodynamic Design of Gas Condensate Reservoir’s Separators

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