Multi-Component-Multiphase Flash Calculations for Systems Containing Gas Hydrates by Direct Minimization of Gibbs Free Energy

Document Type : Research Article


1 Department of Chemical Engineering, Tarbiat Modarres University, Tehran, I.R. IRAN

2 Department of Chemical Engineering, Engineering Faculty, Semnan University, Semnan, I.R. IRAN



The Michelsen stability and multiphase flash calculation by direct minimization of Gibbs free energy of the system at constant temperature and pressure, was used for systems containing gas hydrates. The solid hydrate phase was treated as a solid solution. The fugacities of all components of the hydrate phase were calculated as a function of compositions by the rearranged model of van der Waals and Platteeuw. Using this rearranged model enables the use of multiphase flash algorithm for systems containing gas hydrates. Based on this calculation for hydrate phases, we can determine amounts of hydrate formed and structure stability based on a minimum Gibbs free energy criterion.


Main Subjects

[1] van der Waals, J.H., Platteeuw, J.C., Advanced Chemistry and Physics, 2,1 (1959).
[2] Parrish, W.R., Prausnitz, J.M., Ind. Eng. Chem. Proc. Des. And Dev., 11, 26 (1972).
[3] Bishnoi, P.R., Gupta, A.K., Englezos, P., Kalogerakis, N., Fluid Phase Equilibria, 53, 97 (1989).
[4] Cole, W.A., Goodwin, S.P., Chem. Eng. Sci., 45 (3), 569 (1990).
[5] Corana, A., et al., ACM Transactions on Mathe-matical Software, 13, 262 (1987).
[6] Goffe, W.L., Ferrier, G.D., Rogers, J., J. of Econo-metrics, 60, 65 (1994).
[7] Michelsen, M.L., Fluid Phase Equilibria, 9, 1 (1982).
[8] Michelsen, M. L., Fluid Phase Equilibria, 9, 21 (1982).
[9] Pan,  H., Firoozabadi, A.,  SPE Res.  Eval. Eng., February, 36 (1998).
[10] Peng, D. Y., Robinson, D. B., Ind. Eng. Chem. Fundam., 15, 59 (1976).
[11] Michelsen, M.L., Chem.Eng. Sci., 46(4), 1192 (1991).
[12] Anderson, F. E., Prausnitz, J. M., AIChE J., 32 (8), 1321 (1986).
[13] Holder, G. D., Malekar, S. T., Sloan, E. D., Ind. Eng. Chem. Fundam., 23, 123 (1984).
[14] Rao, S.S., “Optimization; Theory and Applications”, 2nd ed., Wiley Eastern Limited (1984).
[15] Lantagne, G., Marcos, B., Cayrol, B., Com. Chem. Eng., 12 (6), 589 (1988).
[16] Holder, G. D., Corbin, G., Papadopoulos, K. D., Ind. Eng. Chem. Fund., 19, 282 (1980).
[17] Ballard, A. L., Sloan, E. D., Fluid Phase  Equilibria218, 15 (2003).
[18] Zhu, Y., Wen, H., Xu, Z., Chem. Eng. Sci., 55, 3451 (2000).
[19] Burgos-Solorzano, G. I., Brennecke, J. F., Stadtherr, M. A., Fluid Phase Equilibria, 219, 245 (2004).
[20] Ballard, A. L., Jager, M. D., Nasrifar, Kh., Mooijer-van den Heuvel, M. M., Peters, C. J., Sloan, E. D., Fluid Phase Equilibria, 185, 77 (2001).