Prediction of Multiphase Flow in Pipelines: Literature Review
Main Article Content
Keywords
Wellbore, Drift flux, Two fluid, Mechanistic, Vertical lift performance, pressure drop
Abstract
In this work a review about the most relevant methods found in the literature to model the multiphase flow in pipelines is presented. It includes the traditional simplified and mechanistic models, moreover, principles of the drift flux model and the two fluid model are explained. Even though, it is possible to find several models in the literature, no one is able to reproduce all flow conditions presented in the oil industry. Therefore, some issues reported by different authors related to model validation are here also discussed.
MSC:76T10 | PACS:47.55.Ca
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References
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[6] Orkiszewski, J., “Predicting Two-Phase Pressure Drops in Vertical Pipe,” Journal of Petroleum Technology, vol. 19, no. 6, pp. 829–838., 1967.
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[14] Hasan, A.R. and Kabir, C.S., “Predicting Multiphase Flow Behavior in a Deviated Well,” SPE Production Engineering, vol. 3, no. 4, pp. 474–482, 1988. [Online]. Available: http://dx.doi.org/10.2118/15449-PA
[15] Petalas, N. and Aziz, K., “A Mechanistic Model for Multiphase Flow in Pipes,” Society of Petroleum Engineers [successor to Petroleum Society of Canada], vol. 39, no. 6, 2000.
[16] Gomez, L. and Shoham, O. and Schmidt, Z. and Chokshi, R. and Northug, T., “Unified Mechanistic Model for Steady-State Two-Phase Flow: Horizontal to Vertical Upward Flow,” SPE Journal, vol. 5, pp. 339–350, 2000.
[17] Kaya, A. and Sarica, C. and Brill, J., “Mechanistic Modeling of Two-Phase Flow in Deviated Wells,” SPE Production & Facilities, vol. 16, pp. 156–165, 2001. [Online]. Available: http://dx.doi.org/10.2118/72998-PA
[18] Khasanov, M. and Krasnov, V. and Khabibullin, R. and Pashali, A. and Guk, V. , “A Simple Mechanistic Model for Void-Fraction and Pressure-Gradient Prediction in Vertical and Inclined {Gas/Liquid} Flow,” {SPE} Production & Operations, vol. 24, no. 1, 2009. [Online]. Available: http://dx.doi.org/10.2118/108506-PA
[19] Hasan, A.R. and Kabir, C.S. and Sayarpour, M., “A Basic Approach to Wellbore Two-Phase Flow Modeling,” in SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers, 2007. [Online]. Available:
http://dx.doi.org/10.2118/109868-MS
[20] Baxendell, P. and Thomas, R., “The Calculation of Pressure Gradients In High-Rate Flowing Wells,” Petroleum transactions, pp. 1023–1028, 1961.
[21] Guo, B. and Lyons, W. and Ghalambor, A., Petroleum Production Engineering. Elsevier Science & Technology Books, 2007.
[22] G. Griffith, P. and Wallis, “Two phase slug flow,” Journal of Heat Transfer, vol. 83, pp. 307–327, 1961. [Online]. Available: http://dx.doi.org/10.1115/1.3682268
23] Taitel, Y. and Dukler, A., “A model for predicting flow regime transitions in horizontal and near horizontal gas-liquid flow,” AIChE Journal, vol. 22, no. 1, pp. 47–55, 1976.
[24] Taitel, Y. and Bornea, D. and Dukler, A., “Modelling flow pattern transitions for steady upward gas-liquid flow in vertical tubes,” AIChE Journal, vol. 26, no. 3, pp. 345–354, 1980.
[25] Barnea, D. and Shoham, O. and Taitel, Y., “Flow pattern transition for vertical downward two phase flow,” Chemical Engineering Science, vol. 37, no. 5, pp. 741–744, 1982.
[26] Ouyang, L. and Aziz, K., “A homogeneous model for gas-liquid flow in horizontal wells,” Journal of Petroleum Science and Engineering, vol. 27, no. 3-4, pp. 119–128, 2000.
[27] Mandhane, J.M. and Gregory, G.A. and Aziz, K., “Critical Evaluation of Friction Pressure-Drop Prediction Methods for Gas-Liquid Flow in Horizontal Pipes,” Journal of Petroleum Technology, vol. 29, no. 10, pp. 1348–1358, 1977. [Online]. Available: http://dx.doi.org/10.2118/6036-PA
[28] Falcone, G. and Teodoriu, C. and Reinicke, K.M. and Bello, O.O., “Multiphase-Flow Modeling Based on Experimental Testing: An Overview of Research Facilities Worldwide and the Need for Future Developments,” SPE Projects, Facilities & Construction, vol. 3, no. 3, pp. 1–10, 2008.
[29] Manrique, M. and Fuentes, D. and Muñoz, S., “Caracterización de flujo bifásico, ca\’ida de presión, transferencia de calor y los métodos de solución,” {Revista} {fuentes}, vol. 8, no. 1, 2010.
[30] Brennen, C., Fundamentals of Multiphase Flow. New York: Cambridge University, 2006.
[31] Nicklin, D., “Two-phase bubble flow,” Chemical Engineering Science, vol. 17, no. 9, pp. 693–702, 1962.
[32] Zuber, N. and Findlay, J., “Average Volumetric Concentration in Two-Phase Flow Systems,” Journal of Heat Transfer ({U.S.)}, vol. 87, 1965.
[33] Franca, F. and Lahey, R.T., “The use of drift-flux techniques for the analysis of horizontal two-phase flows,” International Journal of Multiphase Flow, vol. 18, no. 6, pp. 787–801, 1992.
[34] Danielson, T.J. and Fan, Y., “Relationship Between Mixture and Two-Fluid Models,” in 14th International Conference on Multiphase Production Technology. BHR Group, 2009.
35] J. Choi, J. and Pereyra, E. and Sarica, C. and Lee, H. and Jang, I. and Kang, “Development of a fast transient simulator for gas-liquid two-phase flow in pipes,” Journal of Petroleum Science and Engineering, vol. 102, pp. 27–35,
2013. [Online]. Available: http://dx.doi.org/10.1016/j.petrol.2013.01.006
[36] K. Shi, H. and Holmes, J. and Diaz, L. and Durlofsky, L. and Aziz, “DriftFlux Modeling of Two-Phase Flow in Wellbores,” SPE Journal, vol. 10, pp. 24–33, 2005. [Online]. Available: http://dx.doi.org/10.2118/84228-PA
[37] ——, “Drift-Flux Parameters for Three-Phase Steady-State Flow in Wellbores,” SPE Journal, vol. 10, pp. 130–137, 2005. [Online]. Available: http://dx.doi.org/10.2118/89836-PA
[38] Ishii, M. and Hibiki, T., Thermo-fluid dynamics of twophase flow. Springer New York, 2011. [Online]. Available:
http://dx.doi.org/10.1007/978-1-4419-7985-8
[39] Choi, J. and Pereyra, E. and Sarica, C. and Park, C. and Kang, J., “An efficient drift-flux closure relationship to estimate liquid holdups of gas-liquid two-phase flow in pipes,” Energies, vol. 5, no. 12, pp. 5284–5306, 2012.
[40] Al-Sarkhi, A. and Sarica, C., “Power-law correlation for two-phase pressure drop of gas/liquid flows in horizontal pipelines,” SPE Projects, Facilities and Construction, vol. 5, no. 4, pp. 176–182, 2010.
[41] Lorentzen, R. and Kare, K. and Froyen, J. and Lage, A. and Naevdal, G. and Vefring, E., “Underbalanced and Low-head Drilling Operations: Real Time Interpretation of Measured Data and Operational Support,” in SPE Annual Technical Conference and Exhibition, 2001. [Online]. Available: http://dx.doi.org/10.2118/71384-MS
[42] Yuan, H. and Zhou, D., “Evaluation of Twophase Flow Correlations and Mechanistic Models for Pipelines at Horizontal and Inclined Upward Flow,” in SPE Production and Operations Symposium. Society of Petroleum Engineers,
2009.
[43] Mao, D. and Harvey, A., “Transient Nonisothermal Multiphase Wellbore Model Development with Phase Change and Its Application to Insitu Producer Wells.” Society of Petroleum Engineers, 2011. [Online]. Available:
http://dx.doi.org/10.2118/146318-MS
[44] Livescu, S. and Durlofsky, L.J. and Aziz, K. and Ginestra, J.C., “A fully-coupled thermal multiphase wellbore flow model for use
in reservoir simulation,” Journal of Petroleum Science and Engineering, vol. 71, no. 3-4, pp. 138–146, 2010. [Online]. Available:
http://dx.doi.org/10.1016/j.petrol.2009.11.022
45] Han, G. and Zhang, H. and Ling, K., “A Transient Two-phase Fluid and Heat Flow Model for Gas-lift Assisted Waxy Crude Wells with Periodical Electric Heating,” in 2013 SPE Heavy Oil Conference. Society of Petroleum Engineers, 2013.
[46] Issa, R. and Kempf, M., “Simulation of slug flow in horizontal and nearly horizontal pipes with the two-fluid model,” International Journal of Multiphase Flow, vol. 29, no. 1, pp. 69–95, 2003. [Online]. Available: http://dx.doi.org/10.1016/S0301-9322(02)00127-1
[47] Liu, Y. and Cui, J. and Li, W., “A two-phase, two-component model for vertical upward gas-liquid annular flow,” International Journal of Heat and Fluid Flow, vol. 32, no. 4, pp. 796–804, 2011. [Online]. Available: http://dx.doi.org/10.1016/j.ijheatfluidflow.2011.05.003
[48] A. Morales-Ruiz, S. and Rigola, J. and Rodriguez, I. and Oliva, “Numerical resolution of the liquid-vapour two-phase flow by means of the two-fluid model and a pressure based method,” International Journal of Multiphase Flow, vol. 43, pp. 118–130., 2012. [Online]. Available: http://dx.doi.org/10.1016/j.ijmultiphaseflow.2012.03.004
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