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Research Papers: Gas Turbines: Turbomachinery

Lateral Equilibrium Position Analysis Program With Applications to Electric Submersible Pumps

[+] Author and Article Information
Clay S. Norrbin

Texas A&M Turbomachinery Laboratory,
College Station, TX 77845
e-mail: clay.norrbin@gmail.com

Dara W. Childs

Leland T. Jordan Professor
Texas A&M Turbomachinery Laboratory,
College Station, TX 77845
e-mail: dchilds@tamu.edu

Contributed by the Turbomachinery Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received August 25, 2017; final manuscript received September 25, 2017; published online January 17, 2018. Editor: David Wisler.

J. Eng. Gas Turbines Power 140(6), 062602 (Jan 17, 2018) (10 pages) Paper No: GTP-17-1478; doi: 10.1115/1.4038482 History: Received August 25, 2017; Revised September 25, 2017

The long length of subsea electric submersible pumps (ESPs) requires a large amount of annular seals. Loading caused by gravity and housing curvature changes the static equilibrium position (SEP) of the rotor in these seals. This analysis predicts the SEP due to gravity and/or well curvature loading. The analysis also displays the rotordynamics around the SEP. A static and rotordynamic analysis is presented for a previously studied ESP model. This study differs by first finding the SEP and then performing a rotordynamic analysis about the SEP. Predictions are shown in a horizontal and a vertical orientation. In these two configurations, viscosities and clearances are varied through four cases: 1X 1cP, 3X 1cP, 1X 30cP, and 3X 30cP. In a horizontal, straight-housing position, the model includes gravity and buoyancy on the shaft. At 1cP-1X and 1cP-3X, the horizontal statics, show a moderate eccentricity ratio for the shaft with respect to the housing. With 30cP-1X, the predicted static eccentricity ratio is low at 0.08. With 30cP-3X, the predicted eccentricity ratio increases to 0.33. Predictions for a vertical case of the same model are also presented. The curvature of the housing is varied in the Y–Z plane until rub or close-to-wall rub is expected. The curvature needed for a rub with a 1X 1cP fluid is 7.5 deg of curvature. Curvature has little impact on stability. With both 1X 30cP and 3X 30cP, the maximum curvature for a static rub is over 25 deg of curvature. Both 1X 30cP and 3X 30cP remain unstable with increasing curvature.

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References

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Figures

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Fig. 1

View of ESP sections, emphasizing the pump section this paper covers [5]

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Fig. 6

Five stage view of model

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Fig. 7

Full model view of ESP

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Fig. 5

Model used by Gajan [9]

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Fig. 4

Rotor orbiting an SEP

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Fig. 10

Relative rotor-housing displacement for a vertical ESP with curvature, ω = 3600 rpm

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Fig. 3

Sample well path showing the complex three-dimensional(3D) path to avoid certain rock formations [6]

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Fig. 13

1X 30cP static position for vertical with curvatures, ω = 3600 rpm

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Fig. 14

3X 30cP static position for vertical with curvatures, ω = 3600 rpm

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Fig. 2

Side view of pump section stage. Three seals restrict back flow along impeller.

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Fig. 8

1cP horizontal static position, ω = 3600 rpm

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Fig. 9

30cP horizontal static position, ω = 3600 rpm

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Fig. 11

1X 1cP static position for vertical with curvatures, ω = 3600 rpm

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Fig. 12

3X 1cP static position for vertical with curvatures, ω = 3600 rpm

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Fig. 15

1X 1cP horizontal static position + dynamics for vertical with curvatures, ω = 3600 rpm

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Fig. 16

3X 1cP horizontal static position + dynamics for vertical with curvatures, ω = 3600 rpm

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Fig. 17

1X 1cP static position + dynamics for vertical with curvatures, ω = 3600 rpm

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Fig. 18

3X 1cP static position + dynamics for vertical with curvatures, ω = 3600 rpm

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Fig. 19

1X 1cP force versus eccentricitys

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Fig. 20

3X 1cP force versus eccentricity

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Fig. 21

1X 30cP force versus eccentricity

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Fig. 22

3X 30cP force versus eccentricity

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