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

[1]  J. S. Rowlinson,et al.  Molecular Thermodynamics of Fluid-Phase Equilibria , 1969 .

[2]  G. Soave.  Equilibrium constants from a modified Redlich-Kwong equation of state , 1972 .

[3]  L. Yarborough.  Vapor-liquid equilibrium data for multicomponent mixtures containing hydrocarbon and nonhydrocarbon components , 1972 .

[4]  D. Peng,et al.  A New Two-Constant Equation of State , 1976 .

[5]  M. Graboski,et al.  A Modified Soave Equation of State for Phase Equilibrium Calculations. 2. Systems Containing CO 2 , H 2 S, N 2 , and CO , 1978 .

[6]  D. D. Fussell,et al.  An Iterative Sequence for Phase-Equilibria Calculations Incorporating the Redlich-Kwong Equation of State , 1978 .

[7]  R. Heidemann,et al.  The calculation of critical points , 1980 .

[8]  K. H. Coats,et al.  Simulation of gas condensate reservoir performance , 1985 .

[9]  K. Aziz,et al.  Computation of Multiphase Equilibrium For Compositional Simulation , 1982 .

[10]  L. E. Baker,et al.  Gibbs energy analysis of phase equilibria , 1982 .

[11]  M. Michelsen.  The isothermal flash problem. Part I. Stability , 1982 .

[12]  R. Risnes,et al.  Equilibrium Calculations for Coexisting Liquid Phases , 1984 .

[13]  Long X. Nghiem,et al.  Computation of multiphase equilibrium phenomena with an equation of state , 1984 .

[14]  A. V. Levy,et al.  A global zero residual least squares method , 1986 .

[15]  D. J. Vickery,et al.  Path-following approaches to the solution of multicomponent, multistage separation process problems , 1986 .

[16]  Michael L. Michelsen,et al.  Simplified flash calculations for Cubic Equations of State , 1986 .

[17]  Sandro Ridella,et al.  Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithmCorrigenda for this article is available here , 1987, TOMS.

[18]  William H. Press,et al.  Numerical Recipes in FORTRAN - The Art of Scientific Computing, 2nd Edition , 1987 .

[19]  W. Press,et al.  Numerical Recipes: The Art of Scientific Computing , 1987 .

[20]  Angelo Lucia,et al.  Simple Process Equations, Fixed-Point Methods, and Chaos , 1990 .

[21]  A. S. Cullick,et al.  New strategy for phase equilibrium and critical point calculations by thermodynamic energy analysis. Part I. Stability analysis and flash , 1991 .

[22]  J. Prausnitz,et al.  Three-phase flash calculations for multicomponent systems , 1991 .

[23]  Tricritical lines and multiphase equilibria in quaternary mixtures , 1992 .

[24]  Wallace B. Whiting,et al.  Area method for prediction of fluid-phase equilibria , 1992 .

[25]  Ab initio equation of state phase equilibria computations via path continuation , 1993 .

[26]  L. Biegler,et al.  Iterated linear programming strategies for non-smooth simulation: A penalty based method for vapor—liquid equilibrium applications , 1993 .

[27]  S. Gómez,et al.  Two global methods for molecular geometry optimization , 1993 .

[28]  The fractal response of robust solution techniques to the stationary point problem , 1993 .

[29]  Michael L. Michelsen,et al.  Calculation of multiphase equilibrium , 1994 .

[30]  Jorge Nocedal,et al.  A Limited Memory Algorithm for Bound Constrained Optimization , 1995, SIAM J. Sci. Comput..

[31]  C. Floudas,et al.  Global optimization for the phase and chemical equilibrium problem: Application to the NRTL equation , 1995 .

[32]  Christodoulos A. Floudas,et al.  Global optimization for the phase stability problem , 1995 .

[33]  Christodoulos A. Floudas,et al.  Global Optimization and Analysis for the Gibbs Free Energy Function Using the UNIFAC, Wilson, and ASOG Equations , 1995 .

[34]  High pressure-high temperature reservoir fluids: investigation of synthetic condensate gases containing a solid hydrocarbon , 1995 .

[35]  W. Seider,et al.  Homotopy-continuation method for stability analysis in the global minimization of the Gibbs free energy , 1995 .

[36]  Huanquan Pan,et al.  Pressure and Composition Effect on Wax Precipitation: Experimental Data and Model Results , 1997 .

[37]  Mark A. Stadtherr,et al.  Reliable prediction of phase stability using an interval Newton method , 1996 .

[38]  Global Stability Analysis and Calculation of Liquid−Liquid Equilibrium in Multicomponent Mixtures† , 1996 .

[39]  Jorge Nocedal,et al.  Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization , 1997, TOMS.

[40]  A method for calculation of vapor-liquid and liquid-liquid equilibria , 1997 .

[41]  C. Floudas,et al.  GLOPEQ: A new computational tool for the phase and chemical equilibrium problem , 1997 .

[42]  M. Stadtherr,et al.  Enhanced Interval Analysis for Phase Stability: Cubic Equation of State Models , 1998 .

[43]  Huanquan Pan,et al.  Complex Multiphase Equilibrium Calculations by Direct Minimization of Gibbs Free Energy by Use of Simulated Annealing , 1998 .

[44]  M. Stadtherr,et al.  Interval Analysis for Thermodynamic Calculations in Process Design: A Novel and Completely Reliable Approach , 1999 .

[45]  Abbas Firoozabadi,et al.  Thermodynamics of Hydrocarbon Reservoirs , 1999 .

[46]  Susana Gómez,et al.  A new implementation of the tunneling methods for bound constrained global optimization , 2000 .

[47]  Abbas Firoozabadi,et al.  Wax Precipitation in Gas Condensate Mixtures , 2001 .