Dynamic multiphase flow behavior inside a mixed flow electrical submersible pump (ESP) has been studied experimentally and theoretically for the first time. The overall objectives of this study are to determine the flow patterns and bubble behavior inside the ESP and to predict the operational conditions that cause surging. The theoretical study includes a mechanistic model for the prediction of the flow behavior inside the pump. The model comprises a one-dimensional force balance to predict occurrence of the stagnant bubbles at the channel intake. This model depends on two important variables, namely the stagnant bubble size and the bubble drag coefficient. The bubble size has been measured and a physically based correlation is presented. A new correlation for the drag coefficient is proposed as a function of rotational speed and Reynolds number. The model enables the prediction of the operational envelope of the ESP, namely the transition to surging.
Issue Section:
Petroleum Engineering
Keywords:
bubbles,
confined flow,
drag,
pumps,
two-phase flow,
electrical submersible pumb,
modeling,
two-phase flow
References
1.
Andras
, E.
, 1997, “Two Phase Flow Centrifugal Pump Performance
,” Ph.D. Dissertation, Idaho State University, Idaho, USA.2.
Barrios
, L.
, 2007, “Visualization and Modeling of Multiphase Performance Inside an Electrical Submersible Pumps
,” Ph.D. Dissertation, The University of Tulsa.3.
Beltur
, R.
, 2003, “Experimental Investigation of Two-Phase Flow Performance of Electrical Submersible Pump Stages
,” M.S. thesis, The University of Tulsa.4.
Calderbank
, P. H.
, 1958, “Physical Rate Processes in Industrial Fermentation. Part I: The Interfacial Area in Gas-Liquid Contacting With Mechanical Agitation
,” Chem. Eng. Res. Des.
, 36a
, pp. 443
–463
.5.
Clift
, R.
, Grace
, J. R.
, and Weber
, M. E.
1978, Bubbles, Drops and Particles
, Dover Publications
, New York
.6.
Creare, Inc., 1982, “
Two-Phase Performance of Scale Models of a Primary Coolant Pump
,” EPRF NP-2578.7.
Davies
, J. T.
, 1972, Turbulence Phenomena
, Academic
, New York
.8.
Duran
, J.
, and Prado
, M.
, 2003, “ESP Stages Air-Water Two-Phase Performance—Modeling and Experimental Data
,” SPE 87627.9.
Estevam
, V.
, 2002, “A Phenomenological Analysis About Centrifugal Pump in Two-Phase Flow Operation
,” Ph.D. thesis Campinas, Universidade Estadual de Campinas, Faculdade de Engenharia Mecânica.10.
Furuya
, O.
, 1985, “An Analytical Model for Prediction of Two-Phase (Noncondensable) Flow Pump Performance
,” ASME J. Fluids Eng.
, 107
, pp. 139
–147
.11.
Gamboa
, J.
, 2005, “Multiphase Performance of ESP Stages
,” Annual Advisory Board Meeting Presentation.12.
Hench
, J. E.
, and Johnston
, J. P.
, 1972, “Two-Dimensional Diffuser Performance With Subsonic, Two-Phase, Air-Water Flow
,” J. Basic Eng.
, pp. 105
–121
.13.
Hinze
J. O.
, 1955, “Fundamental of the Hydrodynamic Mechanism of Splitting in Dispersion Processes
,” AIChE J.
, 1
(3
), pp. 289
–295
.14.
Ihme
, F.
, Schmidt-Traub
, H.
, and Brauer
, H.
, 1972, “Theoretische Untersuchung über die Umströmung und den Stoffübergang an Kugeln,” Chem. Ing. Tech.
, 44
(5
), p. 306
313.15.
Kolmogorov
, A. N.
, 1949, “On the Disintegration in a Turbulent Flow
,” Dokl. Akad. Nauk. SSSR
, 66
, pp. 825
–828
.16.
Lea
, J. F.
, and Bearden
, J. L.
, 1982, “Effect of Gaseous Fluids on Submersible Pumps
,” J. Pet. Technol.
, 34
, pp. 2922
–2930
.17.
Manzano-Ruiz
, J.
, 1980, “Experimental and Theoretical Study of Two-Phase Flow
,” Ph.D. Dissertation, Massachusetts Institute of Technology.18.
Minemura
, K.
, Uchiyama
, T.
, Shoda
, S.
, and Kazuyuki
, E.
, 1998, “Prediction of Air-Water Two-Phase Flow Performance of a Centrifugal Pump Based on One-Dimensional Two-Fluid Model
,” ASME J. Fluids Eng.
, 120
, pp. 327
–334
.19.
Minemura
, K.
, and Uchiyama
, T.
, 1993, “Three-Dimensional Calculation of Air-Water Two-Phase Flow in Centrifugal Pump Impeller Based on a Bubbly Flow Model
,” ASME J. Fluids Eng.
, 155
, pp. 766
–771
.20.
Murakami
, M.
, and Minemura
, K.
, 1974, “Effects of Entrained Air on the Performance of a Centrifugal Pump (First Report, Performance and Flow Conditions)
,” Bull. JSME
, 17
(110
), pp. 1047
–1055
.21.
Murakami
, M.
, and Minemura
, K.
, 1974, “Effects of Entrained Air on the Performance of a Centrifugal Pump (Second Report, Effects of Number of Blades)
,” Bull. JSME
, 17
(112
), pp. 1286
–1295
.22.
Mikielewicz
, J.
, Wilson
, G.
, Chan
, D.
, and Goldfinch
, A.
, 1978, “A Method for Correlating the Characteristics of Centrifugal Pumps in Two-Phase Flow
,” ASME J. Fluids Eng.
, 100
, pp. 395
–409
.23.
Pak
, E. T.
, and Lee
, J.
, 1998, “Performance and Pressure Distribution Changes in a Centrifugal Pump Under Two Phase Flow
,” Proc. Inst. Mech. Eng., Part A
, 212
, pp. 165
–171
.24.
Patel
, B. R.
, and Runstadler
, P. W.
, 1978, “Investigations Into the Two-Phase Behavior of Centrifugal Pumps
,” Proceedings of Polyphase Flow in Turbomachinery
, ASME
.25.
Poullikkas
, A.
, 2003, “Effects of Two-Phase Liquid-Gas Flow on the Performance of Nuclear Reactor Cooling Pumps
,” Prog. Nucl. Energy
, 42
(1
), pp. 3
–10
.26.
Raymond
, F.
, and Rosant
, J. M.
, 2000, “A Numerical and Experimental Study of the Terminal Velocity and Shape of Bubbles in Viscous Liquids
,” Chem. Eng. Sci.
, 55
, pp. 943
–955
.27.
Sachdeva
, R.
, Doty
, D. R.
, and Schmidt
, Z.
, 1994, “Performance of Electrical Submersible Pump in Gassy Wells
,” SPE. 22767.28.
Sato
, S.
, Furukawa
, A.
, and Takamatsu
, Y.
, 1996, “Air-Water Two-Phase Flow Performance of Centrifugal Pump Impellers With Various Blade Angles
,” JSME Int. J.
, 39
(2
), pp. 223
–229
.29.
Schilling
, and Frobenius
, , 2002, “Numerical Simulation of the Two Phase Flow in Centrifugal Pump Impeller
,” Proceeding of ASME FEDSM’ 02, 859
Montreal, QC, Canada July 14-18.30.
Stepanoff
, A. J.
, 1957, Centrifugal and Axial Flow Pump: Theory, Design, and Application
2nd ed., John Wiley … Sons
, New York
.31.
Sun
, D.
, 2002, “Modeling Gas-Liquid Head Performance of Electrical Submersible Pumps
,” Ph.D. Dissertation, The University of Tulsa.32.
Suryawijaya
, P.
, and Kosyna
, G.
, 2001, “Unsteady Measurement of Static Pressure On the Impeller Blade Surfaces and Optical Observation on Centrifugal Pumps Under Varying Liquid/Gas Two-Phase Flow Condition
,” J. Comput. Appl. Mech.
, 2
(1
), pp. D9
–D18
.33.
Tran-Cong
, S.
, Gay
, M.
, and Michaelides
, E.
, 2004, “Drag Coefficient of Irregularly Shaped Particles
,” Powder Technol.
, 139
, pp. 21
–23
.34.
Wallis
, B. G.
, 1974, “The Terminal Speed of Single Drops or Bubbles in an Infinite Medium
,” Int. J. Multiphase Flow
, 1
, pp. 491
–511
.35.
Wilson
, D.
, Chan
, T.
, and Manzano-Ruiz
, J.
, 1979, “Analytical Models and Experimental Studies of Centrifugal-Pump Performance in Two-Phase Flow
,” MIT
, Cambridge, Massachusetts
, EPRI NP-677.36.
Zakem
, S.
, 1980, “Determination of Gas Accumulation and Two-Phase Slip Velocity Ratio in a Rotating Impeller
,” ASME J. Fluids Eng.
, 102
, pp. 446
–455
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