The method of construction of the thermal constants (K-values) of phase equilibrium in multicomponent solutions
Matematičeskoe modelirovanie, Tome 30 (2018) no. 4, pp. 84-96.

Voir la notice de l'article provenant de la source Math-Net.Ru

New analytical formulas for the phase equilibrium constants (K-values) are proposed. The theoretical approach takes into account the influence of temperature, pressure, composition and other factors on the phase behavior. It is proposed simple model equations of state and the Gibbs potentials, which well describe the phase behavior of solutions in a practically important range of pressures and temperatures. The model is contained easily computed parameters. The approach allows building a thermodynamically consistent model, which is convenient for numerical simulation of two-phase multicomponent transport in porous media: reducing the required computing resources and improving the reliability of calculations.
Keywords: mathematical modeling, phase equilibrium constants (K-values), multicomponent solution, transport in porous media.
@article{MM_2018_30_4_a5,
     author = {E. V. Koldoba},
     title = {The method of construction of the thermal constants {(K-values)} of phase equilibrium in multicomponent solutions},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {84--96},
     publisher = {mathdoc},
     volume = {30},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_4_a5/}
}
TY  - JOUR
AU  - E. V. Koldoba
TI  - The method of construction of the thermal constants (K-values) of phase equilibrium in multicomponent solutions
JO  - Matematičeskoe modelirovanie
PY  - 2018
SP  - 84
EP  - 96
VL  - 30
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2018_30_4_a5/
LA  - ru
ID  - MM_2018_30_4_a5
ER  - 
%0 Journal Article
%A E. V. Koldoba
%T The method of construction of the thermal constants (K-values) of phase equilibrium in multicomponent solutions
%J Matematičeskoe modelirovanie
%D 2018
%P 84-96
%V 30
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2018_30_4_a5/
%G ru
%F MM_2018_30_4_a5
E. V. Koldoba. The method of construction of the thermal constants (K-values) of phase equilibrium in multicomponent solutions. Matematičeskoe modelirovanie, Tome 30 (2018) no. 4, pp. 84-96. http://geodesic.mathdoc.fr/item/MM_2018_30_4_a5/

[1] Wilson G. M., “A modified Redlich-Kwong EOS. Application to General Physical Data Calculations”, AlChE Natl. Meeting (Cleveland, Ohio, 1969), 15 pp.

[2] Whitson C. H., Torp S. B., “Evaluating Constant Volume Depletion Data”, JPT, 1983, March

[3] Whitson C. H., Brule M. R., Phase Behavior, SPE Monograph Series, 20, 2000

[4] Reid R. C., Prausnitz J. M., Sherwood T. K., The properties of Gases and Liquids, 3rd edition, McGraw-Hill, New York, 1977

[5] Koldoba A. V., Koldoba E. V., “Modelnoe uravnenie sostoianiia i potentsial Gibbsa dlia chislennogo rascheta zadach mnogokomponentnoi filtratsii s fazovymi perekhodami”, Geokhimiia, 2004, no. 5, 573–576

[6] Koldoba A. V., Koldoba E. V., “Thermodynamically Consistent Model of a Multicomponent Mixture with Phase Transitions”, Math. Mod. and Comp. Simul., 2:6 (2010), 782–787 | DOI

[7] Koldoba A. V., Koldoba E. V., Miasnikov A. V. i dr., “Effektivnyi termodinamicheski soglasovannyi podkhod dlia chislennogo modelirovaniia protsessov vytesneniia nefti”, Matematicheskoe modelirovanie, 2009, no. 10, 7–12

[8] Koldoba E. V., “Metod postroeniia konstant fazovogo ravnovesiia mnogokomponentnykh rastvorov”, Intellektualnye sistemy, 20:2 (2016), 269–282

[9] Brusilovskii A. I., Fazovye prevrashcheniia pri razrabotke nefti i gaza, Izdatelskii dom “Graal”, M., 2002, 575 pp.