Multiphase equilibrium calculation using reduced variables

Proceedings - SPE Symposium on Improved Oil Recovery

Volumn 2004-April, Issue , 2004, Pages

  Dan Vladimir, Nichita ^a   Broseta, Daniel ^b   De Hemptinne, JeanCharles ^b  

^a INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

^b IFP ENERGIES NOUVELLES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINED OPTIMIZATION; EQUATIONS OF STATE; FREE ENERGY; GIBBS FREE ENERGY; MIXTURES; NEWTON-RAPHSON METHOD; PHASE EQUILIBRIA; PHASE STABILITY; PRODUCTION;

CONSTRAINED MINIMIZATION; CUBIC EQUATIONS OF STATE; INDEPENDENT VARIABLES; MULTI-PHASE EQUILIBRIUMS; NONLINEAR SYSTEM OF EQUATIONS; PHASE EQUILIBRIUM CALCULATION; PHASE STABILITY ANALYSIS; SUCCESSIVE SUBSTITUTIONS;

NONLINEAR EQUATIONS;

EID: 85026934925     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (33)

1. Abhvani, A.S. and Beaumont, D.N.: "Development of an Efficient Algorithm for the Calculation of Two-Phase Equilibria", SPERE (November 1987), 695-701.
2. Michelsen, M.L.: "Simplified Flash Calculations for Cubic Equation of State", Ind. Eng. Chem. Process. Des. Dev. (1986) 25, 184-188.
3. Jensen, B.H., and Fredenslund, A., "A Simplified Flash Procedure for Multicomponent Mixtures Containing Hydrocarbons and One Non-Hydrocarbon Using Two-Parameter Cubic Equations of State", Ind. Eng. Chem. Res. (1987) 26, 2129-2134.
4. Hendriks, E. M: "Reduction Theorem for Phase Equilibria Problems", Ind. Eng. Chem. Res. (1988) 27, 1728-1732.
5. Hendriks, E.M., and van Bergen, A.R.D.: "Application of a Reduction Method to Phase Equilibria Calculations", Fluid Phase Equilibria (1992) 74, 17-34.
6. Kaul, P. and Thrasher, R.L.: "A Parameter-Based Approach for Two-Phase-Equilibrium Prediction With Cubic Equations of State", SPERE (November 1996), 273-279.
7. th International Congress of Chemical and Process Engineering CHISA'98, August 23-28, 1998, Prague, paper E 2.4, accepted by Can. J. Chem. Eng.
8. th European Conference on the Mathematics of Oil Recovery, 8-11 September 1998, Peebles, UK, Proceedings, paper B23.
9. th European Symposium on Applied Thermodynamics held on Oct. 9-12, 2003, Lahnstein, Germany.
10. Firoozabadi, A., and Pan, H.: "Fast and Robust Algorithm for Compositional Modeling: Part I - Stability Analysis Testing", SPEJ (March 2002), 78-89.
11. Pan, H. and Firoozabadi, A.: "Fast and Robust Algorithm for Compositional Modeling: Part II-Two-Phase Flash Calculations", paper SPE 71603, presented at the 2001 SPE ATCE held in New Orleans, LA, 30 September-3 October 2001.
12. Nichita, D.V., Gomez, S., and Luna, E.: "Phase Stability Analysis with Cubic Equations of State Using a Global Optimization Method", Fluid Phase Equilibria (2002) 194-197, 413-439.
13. Nichita, D.V., "An Efficient Stability Analysis Method Using Reduced Variables", Revista Româna de Petrol (Romanian Petroleum Journal, in Romanian, March 2001) 8, 19-40.
14. th International Congress of Chemical and Process Engineering-CHISA, Prague, 27-31 August 2000, paper C2.1.
15. Nichita, D.V.: "A New Method for Critical Points Calculation from Cubic EOS", Proceedings, paper 219au, the 2003 AIChE Annual Meeting, San Francisco, CA, Nov. 16-21, 2003.
16. th International Conference PPEPPD, to be held in Snowbird, Utah, May 16-21, 2004.
17. th International Congress of Chemical and Process Engineering CHISA2004, to be held in Prague, August 22-26, 2004.
18. Coats, K.H.: "Simulation of Gas Condensate Reservoir Performance", JPT (Oct. 1985), 1870-1885.
19. Soave, G.: "Equilibrium Constants From a Modified Redlich-Kwong Equation of State", Chem. Eng. Sci. (1972) 27, 1197-1203.
20. Peng, D.Y., and Robinson, D.B.: "A New Two-Constant Equation of State", Ind. Eng. Chem. Fundam. (1976) 15, 59-64.
21. Press, W.H., Flannery, B.P., Teukolski, S.A., and Vetterling, W.T.: "Numerical Recipes - The Art of Scientific Computing", Cambridge University Press, 1989.
22. Michelsen, M.L.: "Calculation of Multiphase Equilibrium", Computers Chem. Engng. (1994) 18, 545-550.
23. Nghiem L.X., Aziz K., Li Y.K.: "A Robust Iterative Method for Flash Calculation Using the Soave-Redlich-Kwong or the Peng-Robinson Equation of State", SPEJ (June 1983), 521-530.
24. The Collected Works of J. Willard Gibbs. Yale University Press, New Haven, 1957.
25. Baker, L.E., Pierce, A.C., and Luks, K.D.: "Gibbs Energy Analysis of Phase Equilibria", SPEJ (Oct. 1982) 731-742.
26. Michelsen, M.L.: "The Isothermal Flash Problem. Part I. Stability", Fluid Phase Equilibria (1982) 9, 1-20.
27. Dennis, J.E., Jr., and Schnabel, R.B.: "Numerical Methods for Unconstrained Optimization and Nonlinear Equations", Classics in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, 1996.
28. Nichita, D.V., Gomez, S., and Luna, E.: "Multiphase Equilibria Calculations by Direct Minimization of Gibbs Free Energy With a Global Optimization Method", Comp. Chem. Engng (2002) 26, 1703-1724.
29. 2 or Rich-Gas Flooding", JPT (September 1977) 1171-1178.
30. Pan, H., and Firoozabadi, A.: "Complex Multiphase Equilibrium Calculations by Direct Minimization of Gibbs Free Energy by Use of Simulated Annealing", SPE Reservoir Evaluation & Engineering, February 1998, 36-42.
31. Robinson, D.B., Kalra, H. and Rempis, H.: "The Equilibrium Phase Properties of a Synthetic Sour Gas Mixture and a Simulated Natural Gas Mixture", GPA Research Report, No. RR-31, Tulsa, May 1978.
32. Szewczyk, V. and Behar, E.: "Compositional Model for Predicting Asphaltenes Flocculation", Fluid Phase Equilibria (1999) 158-160, 459-469.
33. Abdoul, W., Rauzy, E., and Péneloux, A.: "Group-Contribution Equation of State for Correlating and Predicting Thermodynamic Properties of Weakly Polar and Non-Associating Mixtures. Binary and Multicomponent Systems", Fluid Phase Equilibria (1991) 68, 47-102.