Development of a Transient Mechanistic Two-Phase Flow Model for Wellbores
- Mahdy Shirdel (University of Texas at Austin) | Kamy Sepehrnoori (University of Texas at Austin)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- September 2012
- Document Type
- Journal Paper
- 942 - 955
- 2012. Society of Petroleum Engineers
- 5.3.2 Multiphase Flow, 5.5 Reservoir Simulation, 5.2.2 Fluid Modeling, Equations of State
- 7 in the last 30 days
- 1,057 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 10.00|
|SPE Non-Member Price:||USD 30.00|
A great deal of research has been focused on transient two-phase flow in wellbores. However, there is lack of a comprehensive two-fluid model in the literature. In this paper, we present an implementation of a pseudo-compositional, thermal, fully implicit, transient two-fluid model for two-phase flow in wellbores. In this model, we solve gas/liquid mass balance, gas/liquid momentum balance, and two-phase energy balance equations to obtain five primary variables: liquid velocity, gas velocity, pressure, holdup, and temperature. This simulator can be used as a stand-alone code or can be used in conjunction with a reservoir simulator to mimic wellbore/reservoir dynamic interactions. In our model, we consider stratified, bubbly, intermittent, and annular flow regimes using appropriate closure relations for interphase and wall-shear stress terms in the momentum equations. In our simulation, we found that the interphase and wall-shear stress terms for different flow regimes can significantly affect the model's results. In addition, the interphase momentum transfer terms mainly influence the holdup value.
The outcome of this research leads to a more accurate simulation of multiphase flow in the wellbore and pipes, which can be applied to the surface facility design, well-performance optimization, and wellbore damage estimation.
|File Size||2 MB||Number of Pages||14|
Almehaideb, R.A., Aziz, K., and Pedrosa, O.A. Jr. 1989. A Reservoir/WellboreModel for Multiphase Injection and Pressure Transient Analysis. Paper SPE 17941presented at the Middle East Oil Show, Bahrain, 11-14 March. http://dx.doi.org/10.2118/17941-MS.
Ansari, A.M., Sylvester, N.D., Sarica, C., Shoham, O., and Brill, J.P.1994. A Comprehensive Mechanistic Model for Upward Two-Phase Flow in Wellbores.SPE Prod & Fac 9 (2): 143-152. SPE-20630-PA. http://dx.doi.org/10.2118/20630-PA.
Barnea, D. 1987. A unified model for predicting flow-pattern transitions forthe whole range of pipe inclinations. Int. J. Multiphase Flow 13 (1): 1-12. http://dx.doi.org/10.1016/0301-9322(87)90002-4.
Beggs, H.D. and Brill, J.P. 1973. A Study of Two-Phase Flow in InclinedPipes. J Pet Technol 25 (5): 607-617. SPE-4007-PA. http://dx.doi.org/10.2118/4007-PA.
Bendiksen, K.H., Malnes, D., Moe, R., and Nuland, S. 1991. The DynamicTwo-Fluid Model OLGA: Theory and Application. SPE Prod Eng 6 (2): 171-180. SPE-19451-PA. http://dx.doi.org/10.2118/19451-PA.
Colebrook, C.F. and White, C.M. 1937. Experiments with Fluid Friction inRoughened Pipes. Proceedings of the Royal Society of London. Series A 161 (906): 367-381.
Dittus, F.W. and Boelter, L.M.K. 1930. Heat Transfer in AutomobileRadiators of the Tubular Type, 2, 13, 443. Berkeley, Calfornia:Publications in Engineering, University of California Press.
Dukler, A.E., Wicks, M., and Cleveland, R.G. 1964. Frictional pressuredrop in two-phase flow: B. An approach through similarity analysis. AIChEJ. 10 (1): 44-51. http://dx.doi.org/10.1002/aic.690100118.
Duns, H. and Ros., N.C.J. 1963. Vertical flow of gas and liquid mixtures inwells. Proc., 6th World Petroleum Congress, Frankfurt, Germany, Paper22-PD6, Section II, 451-465.
Eaton, B.A., Andrews, D.E., Knowles, C.R., Silberberg, I.H., and Brown, K.E. 1967. The Prediction of Flow Patterns, Liquid Holdup, and PressureLosses Occurring During Continuous Two-Phase Flow in Horizontal Pipelines. JPet Technol 19 (6): 815-828. SPE-1525-PA. http://dx.doi.org/10.2118/1525-PA.
Gomez, L.E., Shoham, O., and Taitel, Y. 2000. Prediction of slug liquidholdup: horizontal to upward vertical flow. Int. J. Multiphase Flow 26 (3): 517-521. http://dx.doi.org/10.1016/s0301-9322(99)00025-7.
Hagedorn, A.R. and Brown, K.E. 1965. Experimental Study of PressureGradients Occurring During Continuous Two-Phase Flow in Small Diameter VerticalConduits. J Pet Technol 17 (4): 475-484. SPE-940-PA. http://dx.doi.org/10.2118/940-PA.
Harmathy, T.Z. 1960. Velocity of large drops and bubbles in media ofinfinite or restricted extent. AIChE J. 6 (2): 281-288. http://dx.doi.org/10.1002/aic.690060222.
Hasan, A.R. and Kabir, C.S. 1988a. A Study of Multiphase Flow Behavior inVertical Wells. SPE Prod Eng 3 (2): 263-272. SPE-15138-PA.http://dx.doi.org/10.2118/15138-PA.
Hasan, A.R. and Kabir, C.S. 1988b. Predicting Multiphase Flow Behavior in aDeviated Well. SPE Prod Eng 3 (4): 474-482. SPE-15449-PA.http://dx.doi.org/10.2118/15449-PA.
Hasan, A.R. and Kabir, C.S. 2002. Fluid Flow and Heat Transfer inWellbores. Richardson, Texas: Textbook Series, SPE.
Kaichiro, M. and Ishii, M. 1984. Flow regime transition criteria for upwardtwo-phase flow in vertical tubes. Int. J. Heat Mass Transfer 27 (5): 723-737. http://dx.doi.org/10.1016/0017-9310(84)90142-x.
Liao, J., Mei, R., and Klausner, J.F. 2008. A study on the numericalstability of the two-fluid model near ill-posedness. Int. J. MultiphaseFlow 34 (11): 1067-1087. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2008.02.010.
Minami, K. and Shoham, O. 1994. Transient two-phase flow behavior inpipelines-experiment and modeling. Int. J. Multiphase Flow 20 (4): 739-752. http://dx.doi.org/10.1016/0301-9322(94)90042-6.
Mishima, K. and Ishii, M. 1984. Flow Regime Transition Criteria for UpwardTwo-Phase Flow in Vertical Tubes. Intl J Heat Mass Transfer 27:723-737.
Mukherjee, H. and Brill, J.P. 1983. Liquid Holdup Correlations for InclinedTwo-Phase Flow. J Pet Technol 35 (5): 1003-1008. SPE-10923-PA. http://dx.doi.org/10.2118/10923-PA.
Orkiszewski, J. 1967. Predicting Two-Phase Pressure Drops in Vertical Pipe.J Pet Technol 19 (6): 829-838. SPE-1546-PA.http://dx.doi.org/10.2118/1546-PA.
Ouyang, L.B. 1998. Single Phase and Multiphase Fluid Flow in HorizontalWells. PhD dissertation, Stanford University, Stanford, California.
Ozon, P.M., Ferschneider, G., and Chwetzoff, A. 1987. A New Multiphase FlowModel Predicts Pressure and Temperature Profile in Wells. Paper SPE 16535presented at the Offshore Europe, Aberdeen, 8-11 September http://dx.doi.org/10.2118/16535-MS.
Passut, C.A. and Danner, R.P. 1972. Correlation of Ideal Gas Enthalpy, HeatCapacity, and Entropy. Ind. Eng. Chem. Process Des. Dev. 11(4): 543-546. http://dx.doi.org/10.1021/i260044a016.
Petalas, N. and Aziz, K. 2000. A Mechanistic Model for Multiphase Flow inPipes. J Can Pet Technol 39 (6): 43-55. JCPT Journal No.00-06-04. http://dx.doi.org/10.2118/00-06-04.
Pourafshary, P. 2007. A coupled wellbore/reservoir simulator to modelmultiphase flow and temperature distribution. PhD dissertation, TheUniversity of Texas at Austin, Austin, Texas (December 2007).
Richter, H.J. 1983. Separated two-phase flow model: application to criticaltwo-phase flow. Int. J. Multiphase Flow 9 (5): 511-530. http://dx.doi.org/10.1016/0301-9322(83)90015-0.
Sagar, R.K., Doty, D.R., and Schmidt, Z. 1991. Predicting TemperatureProfiles in a Flowing Well. SPE Prod Eng 6 (6): 441-448.SPE-19702-PA. http://dx.doi.org/10.2118/19702-PA.
Schwellnus, C.F. and Shoukri, M. 1991. A two-fluid model for non-equilibriumtwo-phase critical discharge. The Canadian Journal of ChemicalEngineering 69 (1): 188-197. http://dx.doi.org/10.1002/cjce.5450690122.
Shirdel, M. 2010. Development of a Coupled Wellbore-ReservoirCompositional Simulator for Horizontal Wells. MS Eng thesis, The Universityof Texas at Austin, Austin, Texas (December 2010).
Shoham, O. 2006. Mechanistic Modeling of Gas-Liquid Two-Phase Flow inPipes. Richardson, Texas: SPE.
Stone, T.W., Edmunds, N.R., and Kristoff, B.J. 1989. A ComprehensiveWellbore/Reservoir Simulator. Paper SPE 18419 presented at the SPE Symposium onReservoir Simulation, Houston, 6-8 February. http://dx.doi.org/10.2118/18419-MS.
Taitel, Y. and Dukler, A.E. 1976. A model for predicting flow regimetransitions in horizontal and near horizontal gas-liquid flow. AIChE J. 22 (1): 47-55. http://dx.doi.org/10.1002/aic.690220105.
Taitel, Y., Bornea, D., and Dukler, A.E. 1980. Modelling flow patterntransitions for steady upward gas-liquid flow in vertical tubes. AIChEJ. 26 (3): 345-354. http://dx.doi.org/10.1002/aic.690260304.
Wang, X. 1996. Modeling Coupled Transient Transport of Mass, Momentum andEnergy in Wellbore/Reservoir Systems. PhD dissertation, The University ofNorth Dakota, Grand Forks, North Dakota.
Winterfeld, P.H. 1989. Simulation of Pressure Buildup in a MultiphaseWellbore/Reservoir System. SPE Form Eval 4 (2): 247-252.SPE-15534-PA. http://dx.doi.org/10.2118/15534-PA.
Xiao, J.J., Shonham, O., and Brill, J.P. 1990. A ComprehensiveMechanistic Model for Two-Phase Flow in Pipelines. Paper SPE 20631 presented atthe SPE Annual Technical Conference and Exhibition, New Orleans, 23-26September. http://dx.doi.org/10.2118/20631-MS.
Yuan, M., and Zhou, D. 2009. Evaluation of Two-phase Flow Correlation andMechanistic Models for Pipelines at Horizontal and Inclined Upward Flow. PaperSPE 101929 presented at the SPE Production and Operation Symposium, OklahomaCity, Oklahoma, USA, 4-8 April. http://dx.doi.org/10.2118/101929-MS.