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Research Papers

Predicting Behavior of Sucker-Rod Pumping Systems With Optimal Control

[+] Author and Article Information
Zengshi Chen

School of Mechanical Engineering,
Shanghai Institute of Technology,
Shanghai 201418, China
e-mail: chenzengshi@gmail.com

Luther W. White

Department of Mathematics,
The University of Oklahoma,
Norman, OK 73019-0390
e-mail: lwhiteamc@gmail.com

Huimin Zhang

School of Mechanical Engineering,
Shanghai Institute of Technology,
Shanghai 201418, China
e-mail: zhanghm@sit.edu.cn

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received December 16, 2016; final manuscript received September 20, 2017; published online December 19, 2017. Assoc. Editor: Ming Xin.

J. Dyn. Sys., Meas., Control 140(5), 051004 (Dec 19, 2017) (7 pages) Paper No: DS-16-1600; doi: 10.1115/1.4038112 History: Received December 16, 2016; Revised September 20, 2017

An approach of optimal control is developed for predicting the behavior of sucker-rod pumping systems. Our method provides the error correction in prediction, and accurately generates polished rod and intermediate-depth work dynagraphs under any bottom-hole pump condition of vertical oil wells. From the prediction perspective, any normal or abnormal pumping condition of vertical oil wells can be simulated by our method. Our method can replace the conventional prediction methods and are definitely able to predict the complex pumping conditions which the conventional prediction methods cannot predict due to their technical constraints. The prediction results from our method will be of great values to improve the design, selection, installation, and operation of sucker-rod pumping systems. From the diagnostic point of view, a complete databank of surface work dynagraphs corresponding to all the downhole pump conditions of vertical oil wells can be generated by our method and can be used as an expert knowledge system for diagnostic of the sucker-rod pumping systems in the operation situations that only the surface work dynagraphs but not the pump dynagraphs are available. Our method is also a good tool to conveniently generate surface work dynagraphs for pump diagnostic emulators.

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References

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Figures

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Fig. 1

The sucker-rod pumping system [24]

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Fig. 2

Piecewise linear trial basis functions

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Fig. 3

The predicted surface dynagraph, the measured surface dynagraph and the pump dynagraph are plotted for case A that the pump fillage is 20%

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Fig. 4

The predicted surface dynagraph, the measured surface dynagraph, and the pump dynagraph are plotted for case A that the pump is leaky

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Fig. 5

The predicted surface dynagraph, the measured surface dynagraph, and the pump dynagraph are plotted for case A that the tubing is unanchored

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Fig. 6

The predicted surface dynagraph, the measured surface dynagraph and the pump dynagraph are plotted for case C that the plunger compresses the fluid

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Fig. 7

The predicted surface dynagraph, the measured surface dynagraph, and the pump dynagraph are plotted for case C that the pump tags down

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