Lateral Equilibrium Position Analysis Program with Applications to Electric Submersible Pumps

[+] Author and Article Information
Clay/S Norrbin

Graduate Research Assistant, Texas A&M Turbomachinery Laboratory, College Station, Texas 77845

Dara Childs

Leland T. Jordan Professor, Texas A&M Turbomachinery Laboratory, College Station, Texas 77845

1Corresponding author.

ASME doi:10.1115/1.4038482 History: Received August 25, 2017; Revised September 25, 2017


The long length of sub-sea 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 interfaces 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, viscosity and clearance are varied through 4 cases: 1X1cP, 3X1cP, 1X30cP, and 3X30cP. In a horizontal position, at 1X1cP and 3X1cP, the horizontal statics show a moderate eccentricity ratio for the shaft with respect to the housing. With 1X30cP, the predicted static eccentricity ratio is low at 0.08. With 3X30cP, 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 1X1cP fluid is 7.5 degrees of curvature. Curvature has little impact on stability. With both 1X30cP and 3X30cP, the maximum curvature for a static rub are over 25 degrees of curvature. Both 1X30cP and 3X30cP remain unstable with increasing curvature.

Copyright (c) 2017 by ASME
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