Research Papers: Fundamental Issues and Canonical Flows

On Leakage Issues of Sucker Rod Pumping Systems

[+] Author and Article Information
Sheldon Wang

McCoy School of Engineering,
Midwestern State University,
3410 Taft Blvd.,
Wichita Falls, TX 76308
e-mail: sheldon.wang@msutexas.edu

Lynn Rowlan

Echometer Co.,
5001 Ditto Ln,
Wichita Falls, TX 76302
e-mail: lynn@echometer.com

Mahmoud Elsharafi

McCoy School of Engineering,
Midwestern State University,
3410 Taft Blvd.,
Wichita Falls, TX 76308
e-mail: mahmoud.elsharafi@msutexas.edu

Mansur A. Ermila

Petroleum Engineering,
Colorado School of Mines,
1600 Arapahoe St.,
Golden, CO 80401
e-mail: mermila@mines.edu

Tomas Grejtak

Department of Mechanical Engineering,
Lehigh University,
19 Memorial Drive West,
Bethlehem, PA 18015
e-mail: tomas.grejtak@hotmail.com

Carrie Anne Taylor

Echometer Co.,
5001 Ditto Ln,
Wichita Falls, TX 76302
e-mail: carrieanne@echometer.com

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received September 24, 2018; final manuscript received March 15, 2019; published online May 8, 2019. Assoc. Editor: Philipp Epple.

J. Fluids Eng 141(11), 111201 (May 08, 2019) (7 pages) Paper No: FE-18-1643; doi: 10.1115/1.4043500 History: Received September 24, 2018; Revised March 15, 2019

The issues of leakage with respect to the clearance between the pump plunger outer diameter and the pump barrel inner diameter and other operation conditions have been revisited in this paper. Both Poiseuille flow rate due to the pressure difference and Couette flow rate due to the plunger motion have been considered. The purpose of this study is to better understand the nature of the leakage with respect to pressure difference, eccentricity, and motion related to the plunger of typical sucker rod pump systems. More specifically, based on the newly derived relaxation time scales for transient solutions of the governing Navier–Stokes equations, the quasi-static nature of relevant measurement techniques is confirmed for the current production systems. This key observation is also demonstrated with a computational model using the experimentally measured pressure difference and the plunger movement.

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Grahic Jump Location
Fig. 1

Problem configuration

Grahic Jump Location
Fig. 2

Eigensolution of the characteristic function and thecharacteristic time with a=(1/ν)Ra, b=(1/ν)Rb, and ξ=τπν/δ

Grahic Jump Location
Fig. 3

(a) Cross-sectional view, (b) detailed mesh, and (c) axial dimension

Grahic Jump Location
Fig. 4

Comparison of Couette flow and Poiseuille flow contributions

Grahic Jump Location
Fig. 5

Eccentricity effects on flow rate



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