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Research Papers: Flows in Complex Systems

Analysis and Prediction of Fluid Flow Behavior in Progressing Cavity Pumps

[+] Author and Article Information
Eissa Al-Safran

Mem. ASME
Petroleum Engineering Department,
Kuwait University,
Kuwait City 13060, Kuwait
e-mails: dr_ealsafran@yahoo.com;
e.alsafran@ku.edu.kw

Ahmed Aql

Petroleum Engineering Department,
Kuwait University,
Kuwait City 13060, Kuwait
e-mail: engahmed9221@gmail.com

Tan Nguyen

Petroleum Engineering Department,
New Mexico Institute of Mining and Technology,
Socorro, NM 87801
e-mail: tan.nguyen@nmt.edu

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received February 2, 2017; final manuscript received May 28, 2017; published online August 28, 2017. Assoc. Editor: Wayne Strasser.

J. Fluids Eng 139(12), 121102 (Aug 28, 2017) (11 pages) Paper No: FE-17-1074; doi: 10.1115/1.4037057 History: Received February 02, 2017; Revised May 28, 2017

A progressing cavity pump (PCP) is a positive displacement pump with an eccentric screw movement, which is used as an artificial lift method in oil wells. Downhole PCP systems provide an efficient lifting method for heavy oil wells producing under cold production, with or without sand. Newer PCP designs are also being used to produce wells operating under thermal recovery. The objective of this study is to develop a set of theoretical operational, fluid property, and pump geometry dimensionless groups that govern fluid flow behavior in a PCP. A further objective is to correlate these dimensionless groups to develop a simple model to predict flow rate (or pressure drop) along a PCP. Four PCP dimensionless groups, namely, Euler number, inverse Reynolds number, specific capacity number, and Knudsen number were derived from continuity, Navier–Stokes equations, and appropriate boundary conditions. For simplification, the specific capacity and Knudsen dimensionless groups were combined in a new dimensionless group named the PCP number. Using the developed dimensionless groups, nonlinear regression modeling was carried out using large PCP experimental database to develop dimensionless empirical models of both single- and two-phase flow in a PCP. The developed single-phase model was validated against an independent single-phase experimental database. The validation study results show that the developed model is capable of predicting pressure drop across a PCP for different pump speeds with 85% accuracy.

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References

Cholet, H. , and Horvath, M. , 1997, Progressing Cavity Pumps, Editions Technip, Paris, France.
Gamboa, J. , Olivet, A. , and Espin, S. , 2003, “ New Approach for Modeling Progressing Cavity Pumps Performance,” SPE Annual Technical Conference and Exhibition, Denver, CO, Oct. 5–8, SPE Paper No. SPE-84137-MS. https://doi.org/10.2118/84137-MS
Paladino, E. , Lima, J. , Almeida, R. , and Assmann, B. , 2008, “ Computational Modeling of the Three-Dimensional Flow in a Metallic Stator Progressing Cavity Pump,” SPE Progressing Cavity Pump Conference, Houston, TX, Apr. 27–29, SPE Paper No. SPE-114110-MS. https://doi.org/10.2118/114110-MS
Zhou, D. , and Yuan, H. , 2008, “ Design of Progressive Cavity Pump Wells,” SPE Progressing Cavity Pumps Conference, Houston, TX, Apr. 27–29, SPE Paper No. SPE-113324-MS https://doi.org/10.2118/113324-MS.
Revard, J. M. , 1995, The Progressing Cavity Pump Handbook, PennWell Publishing Company, Tulsa, OK.
Nelik, L. , and Brennan, J. , 2005, Progressing Cavity Pumps, Downhole Pumps, and Mudmotors, Gulf Publishing, Houston, TX.
Olivet, A. , Gamboa, J. , and Kenyery, F. , 2002, “ Experimental Study of Two-Phase Pumping in a Progressive Cavity Pump Metal to Metal,” SPE Annual Technical Conference and Exhibition, San Antonio, TX, Sept. 29–Oct. 2, SPE Paper No. SPE-77730-MS. https://doi.org/10.2118/77730-MS
Bratu, C. , 2005, “ Progressing Cavity Pump (PCP) Behavior in Multiphase Conditions,” SPE Annual Technical Conference and Exhibition, Dallas, TX, Oct. 9–12, SPE Paper No. SPE-95272-MS. https://doi.org/10.2118/95272-MS
Guise, G. , Crotte, G. , Lehman, M. , Limoges, B. , and Robert, B. , 2016, “ Field Performance and Technology Update of All Metal Progressing Cavity Pumps Deployed in Thermal Processes,” SPE Middle East Artificial Lift Conference and Exhibition, Manama, Bahrain, Nov. 30–Dec. 1, SPE Paper No. SPE-184175-MS. https://doi.org/10.2118/184175-MS
Moineau, R. , 1930, “ A New Capsulism,” Ph.D. dissertation, The University of Paris, Paris, France.
Zhanga, J. , Lia, W. , Wub, Y. , Zhanga, S. , Nairb, M. , and Lic, X. , 2013, “ A Study on a Novel PCP's Structure Using Finite Element Analysis,” SPE Progressing Cavity Pumps Conference, Calgary, AB, Canada, Aug. 25–27, SPE Paper No. SPE-165645-MS. https://doi.org/10.2118/165645-MS
Lima, J. , Paladino, E. , Almeida, R. , and Assmann, B. , 2013, “ A Computational Model for Analysis of Fluid-Structure Interaction Within Elastomeric Progressing Cavity Pumps,” SPE Progressing Cavity Pumps Conference, Calgary, AB, Canada, Aug. 25–27, SPE Paper No. SPE-165650-MS. https://doi.org/10.2118/165650-MS
Pessoa, P. , Paladino, E. , and Lima, J. , 2009, “ A Simplified Model for the Flow in a Progressing Cavity Pump,” 20th International Congress of Mechanical Engineering, Gramado, Brazil, Nov. 15–20. http://www.abcm.org.br/anais/cobem/2009/pdf/COB09-1951.pdf
Karthikeshwaran, R. , and Samad, A. , 2011, “ Leakage Analysis of Progressing Cavity Pump,” 11th Asian Conference on Fluid Machinery and Third Fluid Power Technology Exhibition, Chennai, India, Nov. 21–23. [CrossRef]
Gamboa, J. , Olivet, A. , González, P. , and Iglesias, J. , 2003, “ Understanding the Performance of a Progressive Cavity Pump With a Metallic Stator,” 20th International Pump Users Symposium, Houston, TX, Mar. 17–20, pp. 19–31. https://pdfs.semanticscholar.org/0205/e856fc3c74fa8da416a03b0b84c065d5cf87.pdf
Robello, S. , and Saveth, K. , 2006, “ Optimal Design of Progressing Cavity Pump (PCP),” ASME J. Energy Resour. Technol., 128(4), pp. 275–279. [CrossRef]
Nguyen, T. , Al-Safran, E. , Saasen, A. , and Nes, O. , 2014, “ Modeling the Design and Performance of Progressing Cavity Pump Using 3-D Vector Approach,” J. Pet. Sci. Eng., 122, pp. 180–186. [CrossRef]
Martin, A. , Kenyery, F. , and Tremante, A. , 1999, “ Experimental Study of Two Phase Pumping in Progressive Cavity Pumps,” SPE Latin American and Caribbean Petroleum Engineering Conference, Caracas, Venezuela, Apr. 21–23, SPE Paper No. SPE-53967-MS. https://doi.org/10.2118/53967-MS
Zhang, H. , Li, J. , Wang, W. , Watters, C. , and Houeto, F. , 2012, “ Simulating Progressive Cavity Pumps for Multiphase Flow and Production System Design,” SPE Latin American and Caribbean Petroleum Engineering Conference, Mexico City, Mexico, Apr. 16–18, SPE Paper No. SPE-152841-MS. https://doi.org/10.2118/152841-MS
Belcher, I. , 1991, “ An Investigation Into the Operating Characteristics of the Progressive Cavity Pump,” Ph.D. dissertation, Cranfield University, Cranfield, UK. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302742
Behzadi, A. , Issa, R. , and Rusche, H. , 2004, “ Modeling of Dispersed Bubble and Droplet Flow at High Phase Fractions,” Chem. Eng. Sci., 59(4), pp. 759–770. [CrossRef]
Andrade, S. , Valério, J. , and Carvalho, M. , 2011, “ Asymptotic Model of the 3D Flow in a Progressing-Cavity Pump,” SPE J., 16(2), pp. 451–462. [CrossRef]
Paladino, E. , Lima, J. , Pessoa, P. , and Almeida, R. , 2009, “ Computational Three Dimensional Simulation of the Flow Within Progressing Cavity Pumps,” 20th International Congress of Mechanical Engineering, Gramado, Brazil, Nov. 15–20. http://www.abcm.org.br/anais/cobem/2009/pdf/COB09-1940.pdf
Paladino, E. , Lima, J. , Pessoa, P. , and Almeida, R. , 2011, “ A Computational Model for the Flow Within Rigid Stator Progressing Cavity Pumps,” J. Pet. Sci. Eng., 78(1), pp. 178–192. [CrossRef]
Lima, J. , Paladino, E. , Almeida, R. , and Assman, F. , 2009, “ Mesh Generation for Numerical Simulation of Fluid-Structure Interaction Within Progressing Cavity Pumps,” 20th International Congress of Mechanical Engineering, Gramado, Brazil, Nov. 15–20.
Berton, M. , Allain, O. , Goulay, C. , and Lemetayer, P. , 2011, “ Complex Fluid Flow and Mechanical Modeling of Metal Progressing Cavity Pumps PCP,” SPE Heavy Oil Conference and Exhibition, Kuwait City, Kuwait, Dec. 12–14, SPE Paper No. SPE-150419-MS. https://doi.org/10.2118/150419-MS
Azevedo, V. , Lima, J. , and Paladino, E. , 2016, “ A 3D Transient Model for the Multiphase Flow in a Progressing-Cavity Pump,” SPE J., 21(4), pp. 1458–1469. [CrossRef]
Strasser, W. , 2007, “ CFD Investigation of Gear Pump Mixing Using Deforming/Agglomerating Mesh,” ASME J. Fluids Eng., 129(4), pp. 476–484. [CrossRef]
Nguyen, T. , Tu, H. , Al-Safran, E. , and Saasen, A. , 2016, “ Simulation of Single-Phase Liquid Flow in Progressing Cavity Pump,” J. Pet. Sci. Eng., 147, pp. 617–623. [CrossRef]
Delpassand, S. , 1999, “ Stator Life of a Positive Displacement Downhole Drilling Motor,” ASME J. Energy Resour. Technol., 121(2), pp. 110–116. [CrossRef]
Aql, A. , 2016, “ Dimensional and Empirical Modeling of Fluid Flow in Progressing Cavity Pump,” M.Sc. thesis, Kuwait University, Kuwait City, Kuwait.
Arellano, J. , 1997, “ Field Comparison of Efficiency of Progressing Cavity Pumps, Bean Units and Electric Submersible Pumps,” M.S. thesis, The University of Tulsa, Tulsa, OK.

Figures

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Fig. 1

PCP 3D image: (a) successive two-dimensional cross sections and (b) 3D pump image

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Fig. 2

Video footage of 3D configuration of rotor motion in two pump stages

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Fig. 3

3D video footage of rotor motion showing variations in pump cross section

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Fig. 4

PCP rotor translational and rotational motion in one cycle

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Fig. 5

3D images of pump stator, rotor, and fluid cavities

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Fig. 6

Cross-sectional and longitudinal slip flows in PCP

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Fig. 7

3D configuration of fluid cavity in PCP

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Fig. 8

Single-phase proposed model curve fit to Gamboa et al. [2,15] experimental data

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Fig. 9

Two-phase flow proposed model curve fit to experimental data

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Fig. 10

A schematic of the PCP testing facility at the New Mexico Institute of Mining and Technology Pumping Facility

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Fig. 11

Model validation results at different rotational speeds

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Fig. 12

Pump interference change with respect to pump rotational speed and differential pressure ((a) low-speed, (b) increasing speed, and (c) high-speed)

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