An improved Wilson equation for phase equilibrium K values estimation
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Wayne D. Monnery
Abstract
Phase equilibrium K values are either estimated with empirical correlations or rigorously calculated based on fugacity values determined from an equation of state. There have been several empirical analytical equations such as Raoult’s Law, the Hoffman Equations (Hoffman A, Crump J, Hocott C. Equilibrium constants for a gas condensate system. J Petrol Technol 1953;5:1–10) and their modifications and the well-known Wilson Equation (Wilson G. A modified Redlich–Kwong equation of state applicable to general physical data calculations. In: AIChE National Meeting Paper15C, May 4–7, Cleveland, OH; 1969). along with several modifications. This work presents a new modification of the Wilson Equation for estimating phase equilibrium K values, predominantly for light hydrocarbon mixtures. The modification is based on correlating a subset of a database of K values, established from convergence pressure data. Results show the method to accurately correlate and predict the K value data, within 10% on average. Moreover, the predicted K factors provide remarkable results for such a simple model when used in a variety of phase equilibrium calculations. The results also show that the new model compares favorably with existing empirical analytical methods. Such a model would provide excellent initial estimates for rigorous thermodynamic calculations.
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Author contribution: The author has accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The author declares no conflicts of interest regarding this article.
References
1. Whitson, CH, Brule, MR. Phase behavior, monograph. SPE Henry L. Doherty series. Richardson, Texas: SPE; 2000, vol. 20:40–4 pp.Suche in Google Scholar
2. Ghafoori, MJ, Aghamiri, SF, Talaie, MR. A new empirical K-value equation for reservoir fluids. Fuel 2012;98:236–44. https://doi.org/10.1016/j.fuel.2012.03.026.Suche in Google Scholar
3. GPSA. Engineering data book, 13th ed. Tulsa, Oklahoma: Natural Gas Processors Suppliers Association; 2012. Ch. 25.Suche in Google Scholar
4. DePriester, CL. Light-hydrocarbon vapor-liquid distribution coefficients-pressure temperature-composition charts and pressure-temperature nomographs. Chem Eng Prog Symp Ser 1953;49:1.Suche in Google Scholar
5. Hoffman, A, Crump, J, Hocott, C. Equilibrium constants for a gas condensate system. J Petrol Technol 1953;5:1–10. https://doi.org/10.2118/219-g.Suche in Google Scholar
6. Standing, M. A set of equations for computing equilibrium ratios of a crude oil/natural gas system at pressures below 1000 psia. J Petrol Technol 1979;31:1193–5. https://doi.org/10.2118/7903-pa.Suche in Google Scholar
7. Galimberti, M, Campbell, JM. New method helps correlate K values for behavior of paraffin hydrocarbons. Oil Gas J 1969;64:64–7.Suche in Google Scholar
8. Wilson, G. A modified Redlich–Kwong equation of state applicable to general physical data calculations. In: AIChE National Meeting Paper15C, May 4–7, Cleveland, OH; 1969.Suche in Google Scholar
9. Whitson, CH, Torp, SB. Evaluating constant volume depletion data. J Petrol Technol 1983;35:610. https://doi.org/10.2118/10067-pa.Suche in Google Scholar
10. Aghamiri, S, Tamtaji, M, Ghafoori, M. Developing a K-value equation for predict dew point pressure of gas condensate reservoirs at high pressure. Petroleum 2018;4:437–43. https://doi.org/10.1016/j.petlm.2017.08.002.Suche in Google Scholar
11. Lohrenz, J, Clark, GC, Francis, RJ. A compositional material balance for combination drive reservoirs with gas and water injection. J Petrol Technol 1963;Nov:1233. https://doi.org/10.2118/558-pa.Suche in Google Scholar
12. Campbell, JM. Gas conditioning and processing. The basic principles, Chapter 6 Appendix , 5th ed., Campell petroleum series; 1981, vol. 1.Suche in Google Scholar
13. GPSA. Engineering data book, 9th ed. Tulsa: Oklahoma, Natural Gas Processors Suppliers Association; 1972. Ch. 7.Suche in Google Scholar
14. Rzasa, MJ, Glass, ED, Opfell, JB. Prediction of critical properties and equilibrium vaporization constants for complex hydrocarbon systems. Chem Eng Prog 1952;2:28–37.Suche in Google Scholar
15. Al-Saygh, A, Moshfeghian, M, Maddox, RN. Calculating and applying K-values; 2004. Available from: https://www.semanticscholar.org.Suche in Google Scholar
16. Riazi, MR. Characterization and properties of petroleum fractions, 1st ed. Conshohocken, PA: ASTM; 2005:55–81 pp.10.1520/MNL50_1ST-EBSuche in Google Scholar
© 2021 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Editorial
- CPPM special issue in honour of Emeritus Professor W.Y. “Bill” Svrcek
- Research Articles
- Asphaltene precipitation from heavy oil mixed with binary and ternary solvent blends
- Kinetic modeling of biosurfactant production by Bacillus subtilis N3-1P using brewery waste
- A user workflow for combining process simulation and pinch analysis considering ecological factors
- An improved Wilson equation for phase equilibrium K values estimation
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Artikel in diesem Heft
- Frontmatter
- Editorial
- CPPM special issue in honour of Emeritus Professor W.Y. “Bill” Svrcek
- Research Articles
- Asphaltene precipitation from heavy oil mixed with binary and ternary solvent blends
- Kinetic modeling of biosurfactant production by Bacillus subtilis N3-1P using brewery waste
- A user workflow for combining process simulation and pinch analysis considering ecological factors
- An improved Wilson equation for phase equilibrium K values estimation
- Process model correlating Athabasca bitumen thermally cracked at edge of coking induction zone
- Flexible digital twins from commercial off-the-shelf software solutions: a driver for energy efficiency and decarbonisation in process industries?
