Computational method of discrete functions for phase diagrams of milticomponent hydrocarbon systems based on cubic equations of state

About the authors:

Irina G. Zakharova, Cand. Sci. (Phys.-Math.), Professor, Department of Software, School of Computer Science, University of Tyumen, Tyumen, Russia; i.g.zakharova@utmn.ru, https://orcid.org/0000-0002-4211-7675

Igor E. Mashchitskiy, Postgraduate Student, University of Tyumen; mashchitskiy@inbox.ru

Abstract:

The computational method of discrete functions for “liquid-gas”-type phase diagrams of multicomponent hydrocarbon systems is introduced in the paper. The main calculation tool is the standard algorithm of separation modeling based on the cubic equation-of-state. The special geometric approach for the organization of target function calculation, which allows modern multi-processor computers to be efficiently used and highly detailed results to be received without needs in further math processing, is described. The specific algorithm for the implementation of this approach, as well as the results of its implementation to the construction of phase diagrams of hydrocarbon fluids extracted at the fields of Tyumen region are given. The efficiency of the offered method is evaluated by computing experiment in comparison with the method that realizes the concept of strict-sequence calculations. The paper is of interest for chemical engineering experts who are engaged in modeling and calculation of phase equilibria in the chemical technology.

References:

1.             Brill J. P., Mukherjee H. Mnogofaznyj potok v skvazhinah [Multiphase Flow in the Wells] / Ju. V. Russkih (Transl. from English.), M. N. Kravchenko (Ed.). Moscow-Izhevsk: Institut komp'juternyh issledovanij [Institute of Computer Science], 2006. 384 p.(In Russian).

2.             Brusilovsky A. I. Fazovie prevrascheniya pri razrabotke nefti i gaza [Phase Transformations in Oil and Gas Development]. M.: Graal, 2002. 575 p. (In Russian)

3.             Verzhbickiy V. M. Osnovi chislennih metodov: uchebnik dlya vuzov [Basics of Numerical Methods: Textbook for High Schools]. M.: Vysshaja shkola [Higher School], 2002. 840 p. (In Russian)

4.             Grigor'ev B. A. Gerasimov A. A., Lanchakov G .A. Teplofizicheskie svojstva i fazovye ravnovesija gazovyh kondensatov i ih frakcij [Termophysical Properties and Phase Equilibria of Gas Condenstes and Fractions]. M.: MEI, 2007. 344 p. (In Russian)

5.             Gurevich G. R., Brusilovskiy A. I. Spravochnoe posobie po raschetu fazovogo sostoyaniya i svoistv gazokondensatnih smesei [The Guidebook on Calculation of Phase State and Properties of Gas-condensate Mixtures]. M.: Nedra, 1984. 264 p. (In Russian)

6.             Lapshin V. I., Volkov A. N., Konstantinov A. A. Fazovye prevrashhenija uglevodorodnyh neftegazokondensatnyh system [On the Problem of Classification of Stratal Fluids in Oil/Gas/Condensate Deposits] // Vesti gazovoy nauki [Actual Problems of Research of Stratal Hydrocarbon Systems]. M.: Gazprom VNIIGAZ, 2014. No 2 (18). Pp. 113-119.(In Russian)

7.             Ljugaj D. V., Lapshin V. I., Volkov A. N., Shafiev I. M. Sovershenstvovanie metodik jeksperimental'nogo izuchenija fazovyh prevrashhenij gazokondensatnyh sistem [The Enhancement of Experimental Techniques for Gas-condensate Systems Studying] // Vesti gazovoy nauki [Actual Problems of Research of Stratal Hydrocarbon Systems]. M.: Gazprom VNIIGAZ, 2011. No 1. Pp. 103-119. (In Russian)

8.             Maschitskiy I. E. Svidetel'stvo o gosudarstvennoj registracii programmy dlja JeVM № 2014616892 “Programma dlja postroenija fazovoj diagrammy i izolinij massovogo procenta gaza uglevodorodnyh fljuidov (HCSPD)” [Certificate of State Registration of Computer Program “The Program for Phase Diagram and Gas Mass Percent Isolines of Hydrocarbon Fluids Construction (HCSPD)” No 2014616892]. (In Russian)

9.             Falovskij V. I. Horoshev A. S., Shahov V. G. Sovremennyj podhod k modelirovaniju fazovyh prevrashhenij uglevodorodnyh sistem s pomoshh'ju uravnenija sostojanija Penga-Robinsona [The Modern Approach to Phase Behavior Predictions of Hydrocarbon Systems by Means of the Peng-Robinson Equation of State] // Izvestija Samarskogo nauchnogo centra Rossijskoj akademii nauk [Proceedings of the Samara Scientific Center of the Russian Academy of Sciences]. 2011. No 4-1. Pp. 120-125. (In Russian)

10.         Peng D. Y., Robinson D. B. A new two-constant equation of state // Ind. Eng. Chem. Fundam. 1976. Vol.15. Pp.59-64.