A Mechanistic Slug-Liquid-Holdup Model for Different Oil Viscosities and Pipe-Inclination Angles
- Shufan Wang (University of Tulsa) | Hong-Quan Zhang (University of Tulsa) | Cem Sarica (University of Tulsa) | Eduardo Pereyra (University of Tulsa)
- Document ID
- Society of Petroleum Engineers
- SPE Production & Operations
- Publication Date
- November 2014
- Document Type
- Journal Paper
- 329 - 336
- 2014.Society of Petroleum Engineers
- gas entrainment, high viscosity oil, slug void fraction, slug liquid holdup, multiphase flow
- 2 in the last 30 days
- 443 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 10.00|
|SPE Non-Member Price:||USD 30.00|
Slug liquid holdup is one of the most important parameters of slug flow. It is closely related to the average liquid holdup and pressure gradient of slug flow in wells and pipelines. The mechanistic models of Barnea and Brauner (1985) and of Zhang et al. (2003a) are based on the turbulent liquid-slug assumption for low-viscosity oils. However, for high-viscosity oil, the liquid slug is laminar because of the low slug Reynolds number. In this study, a mechanistic slug-liquid-holdup model is developed for low- and high-oil-viscosity slug flows. The model is based on two shear mixings: shear mixing between the slug front and pipe wall and shear mixing between the slug body and liquid film. The model uses slug-flow characteristics that can be calculated by solving the continuity and momentum equations of slug flow. A data bank consisting of 418 slug-liquid-holdup measurements that were obtained from various authors is used to analyze and validate the model. In the data bank, liquid viscosity ranges from 0.0016 to 0.589 Pa·s (1.6 to 589 cp). Pipe-inclination angle ranges from –30° to upward vertical. Pipe inside diameter varies from 5.08 to 10 cm. Statistical evaluations are conducted and compared with predictions of other models, and significant improvement is observed in the performance of the new model.
|File Size||1 MB||Number of Pages||8|
Abdul-Majeed, G.H. 2000. Liquid slug holdup in horizontal and slightly inclined two-phase slug flow. J. Pet. Sci. and Eng. 27 (1–2): 27–32. http://dx.doi.org/10.1016/S0920-4105(99)00056-X.
Andreussi, P., Minervini, A., and Paglianti, A. 1993. Mechanistic model of slug flow in near-horizontal pipes. AIChE Journal 39 (8): 1281–1291. http://dx.doi.org/10.1002/aic.690390804.
Barnea, D. and Brauner, N. 1985. Holdup of the liquid slug in two phase intermittent flow. Int. J. Multiphase Flow 11 (1): 43–49. http://dx.doi.org/10.1016/0301-9322(85)90004-7.
Brandt, I. and Fuches, P. 1989. Liquid Holdup in Slugs: Some Experimental Results from the SINTEF Two-Phase Flow Laboratory. In Multi-Phase Flow: Proceedings of the 4th International Conference, 19–21 June, Nice, France, ed. Fairhurst, C.P., 447–468.
Crowley, C.J., Sam, R.G., and Rothe, P.H. 1986. Investigation of Two-Phase Flow in Horizontal and Inclined Pipes at Large Pipe Size and High Gas Density. PR-172-507, American Gas Association.
Felizola, H. 1992. Slug Flow in Extended Reach Directional Wells. MS thesis, University of Tulsa, Tulsa, Oklahoma.
Gomez, L.E., Shoham, O., and Taitel, Y. 2000. Prediction of slug liquid holdup: horizontal to upward vertical flow. Int. J. Multiphase Flow 26 (3): 517–521. http://dx.doi.org/10.1016/S0301-9322(99)00025-7.
Gregory, G.A. and Mattar, L. 1973. An In-Situ Volume Fraction Sensor for Two-Phase Flows of Non-Electrolytes. J Can Pet Technol 12 (2): 48–52. PETSOC-73-02-06. http://dx.doi.org/10.2118/73-02-06.
Gregory, G.A., Nicholson, M.K., and Aziz, K. 1978. Correlation of the liquid volume fraction in the slug for horizontal gas-liquid slug flow. Int. J. Multiphase Flow 4 (1): 33–39. http://dx.doi.org/10.1016/0301-9322(78)90023-X.
Grolman, E. 1994. Gas-Liquid Flow With Low Liquid Loading in Slightly Inclined Pipes. PhD dissertation, University of Amsterdam, Amsterdam, Netherlands.
Kokal, S. 1987. An Experimental Study of Two-Phase Flow in Inclined Pipes. PhD dissertation, University of Calgary, Calgary, Alberta.
Kora, C. 2010. Effects of High Oil Viscosity on Slug Liquid Holdup in Horizontal Pipes. MS thesis, University of Tulsa, Tulsa, Oklahoma.
Kouba, G.E. 1986. Slug Flow Modeling and Metering. PhD dissertation, University of Tulsa, Tulsa, Oklahoma.
Malnes, D. 1982. Slug Flow in Vertical, Horizontal, and Inclined Pipes. Technical Report IFE/KR/E-83-002, Institute for Energy Technology, Kjeller, Norway.
Nädler, M. and Mewes, D. 1995. The effect of gas injection on the flow of immiscible liquids in horizontal pipes. Chemical Engineering & Technology 18 (3): 156–165. http://dx.doi.org/10.1002/ceat.270180303.
Nuland, S., Malvik, I.M., Valle, A. et al. 1997. Gas Fractions in Slugs in Dense-Gas Two-Phase Flow from Horizontal to 60 Degrees of Inclination. In Proceedings of the 1997 ASME Fluids Engineering Division Summer Meeting, Vancouver, British Columbia, Canada, June 22–26. New York, New York: ASME.
Nydal, O.J. and Andreussi, P. 1991. Gas entrainment in a long liquid slug advancing in a near horizontal pipe. Int. J. Multiphase Flow 17 (2): 179–189. http://dx.doi.org/10.1016/0301-9322(91)90014-T.
Nydal, O.J., Pintus, S., and Andreussi, P. 1992. Statistical characterization of slug flow in horizontal pipes. Int. J. Multiphase Flow 18 (3): 439–453. http://dx.doi.org/10.1016/0301-9322(92)90027-E.
Roumazeilles, P. 1994. An Experimental Study of Downward Slug Flow in Inclined Pipes. MS thesis, University of Tulsa, Tulsa, Oklahoma.
Schmidt, Z. 1977. Experimental Study of Two-Phase Slug Flow in A Pipeline-Riser Pipe System. PhD dissertation, University of Tulsa, Tulsa, Oklahoma.
Wallis, G.B. 1969. One Dimensional Two-Phase Flow. New York, New York: McGraw-Hill.
Wang, S. 2012. Experiments and Model Development for High-Viscosity Oil/Water/Gas Horizontal and Upward Vertical Pipe Flows. PhD dissertation, University of Tulsa, Tulsa, Oklahoma.
Yang, J. 1996. A Study of Intermittent Flow in Downward Inclined Pipes. PhD dissertation, University of Tulsa, Tulsa, Oklahoma.
Zhang, H.-Q. and Sarica, C. 2011. A Model for Wetted-Wall Fraction and Gravity Center of Liquid Film in Gas/Liquid Pipe Flow. SPE J. 16 (3): 692–697. SPE-148330-PA. http://dx.doi.org/10.2118/148330-PA.
Zhang, H.-Q., Wang, Q., Sarica, C. et al. 2003a. A unified mechanistic model for slug liquid holdup and transition between slug and dispersed bubble flows. Int. J. Multiphase Flow 29 (1): 97–107. http://dx.doi.org/10.1016/S0301-9322(02)00111-8.
Zhang, H.-Q., Wang, Q., Sarica, C. et al. 2003b. Unified Model for Gas-Liquid Pipe Flow via Slug Dynamics—Part 1: Model Development. J. Energy Resour. Technol. 125 (4): 266–273. http://dx.doi.org/10.1115/1.1615246.