IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i9p1318-d1383152.html
   My bibliography  Save this article

A Novel Method for Predicting the Behavior of a Sucker Rod Pumping Unit Based on the Polished Rod Velocity

Author

Listed:
  • Jiaojian Yin

    (College of Science, China University of Petroleum (East China), Qingdao 266580, China)

  • Hongzhang Ma

    (College of Science, China University of Petroleum (East China), Qingdao 266580, China)

Abstract

Fault dynamometer cards are the basis of the diagnosis technique for sucker rod pumping systems. Predicting fault cards with a pumping condition model is an economical and effective method. The usual model is described by a mixed function of the pump displacement and pump load, and it is difficult to use in the prediction method based on the analytical solution of the sucker rod string wave equation. In this paper, a normal pumping condition model described by a function of polished rod velocity is proposed. For the analytical solution of the sucker rod wave equation, an iterative prediction algorithm with pumping condition models is proposed, its convergence is analyzed, and then it is validated by classical finite difference method simulated cards and measured surface dynamometer cards. The results show that the proposed algorithm is accurate. The algorithm has a maximum relative error of 0.10% for the classical method simulated card area and 1.45% for the measured card area. The research of this paper provides an effective scheme for the design, prediction, and fault diagnosis of a sucker rod pumping system with an analytical solution.

Suggested Citation

  • Jiaojian Yin & Hongzhang Ma, 2024. "A Novel Method for Predicting the Behavior of a Sucker Rod Pumping Unit Based on the Polished Rod Velocity," Mathematics, MDPI, vol. 12(9), pages 1-19, April.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1318-:d:1383152
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/9/1318/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/12/9/1318/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Weicheng Li & Shimin Dong & Xiurong Sun, 2018. "An Improved Sucker Rod Pumping System Model and Swabbing Parameters Optimized Design," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-15, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Biao Ma & Shimin Dong, 2023. "Coupling Simulation of Longitudinal Vibration of Rod String and Multi-Phase Pipe Flow in Wellbore and Research on Downhole Energy Efficiency," Energies, MDPI, vol. 16(13), pages 1-17, June.
    2. Li, Weicheng & Vaziri, Vahid & Aphale, Sumeet S. & Dong, Shimin & Wiercigroch, Marian, 2021. "Energy saving by reducing motor rating of sucker-rod pump systems," Energy, Elsevier, vol. 228(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1318-:d:1383152. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.