IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v16y2023i13p4988-d1180753.html
   My bibliography  Save this article

Coupling Simulation of Longitudinal Vibration of Rod String and Multi-Phase Pipe Flow in Wellbore and Research on Downhole Energy Efficiency

Author

Listed:
  • Biao Ma

    (School of Mechanical Engineering, University Yanshan, Qinhuangdao 066004, China)

  • Shimin Dong

    (School of Mechanical Engineering, University Yanshan, Qinhuangdao 066004, China)

Abstract

The wellbore of a sucker-rod pumping well experiences a multi-phase flow consisting of oil, gas, and water. The flow pattern and pump discharge pressure are greatly impacted by oil well production, which in turn significantly affects the simulation results of longitudinal vibration in the sucker-rod string. When calculating the discharge pressure in a hydrostatic column containing both oil and water (HC), the pressure is not affected by the oil well’s production. This thereby avoids interference between vibrations in the sucker-rod string’s longitudinal direction and the flow from the wellbore. Considering the coupling characteristics between the longitudinal vibration of the sucker-rod string and the wellbore flow, a mathematical model of the sucker-rod pumping system (CMSRS) and a mathematical model of the downhole energy efficiency parameters were established. In detail, the CMSRS comprises two parts: the discharge pressure mathematical models of multi-phase flow dynamics (MD) and the wave equation of the longitudinal vibration of the sucker-rod string. A numerical simulation model of the sucker-rod pumping system was constructed based on a mathematical model. We compared the experimental results, the simulation results of the CMSRS and the simulation results of the sucker-rod string based on the oil-water two–phase hydrostatic column (SMSRS) and found good agreement, indicating the feasibility of the CMSRS. The simulation details show the following: (1) The HC model’s discharge pressure exceeds that of the MD model by more than 33.52%. The polished rod load for the CMSRS is 18.01% lower than that of the SMSRS, and the pump input power for the CMSRS is 36.23% lower than that of the SMSRS. (2) The effective power simulation model based on the energy balance relationship is essentially the same as the effective power calculated by the model based on multi-phase flow effective power. This validates the accuracy of the multi-phase flow effective power model. (3) The limitations of the industry standard effective power model are that (i) the effective head is the net lift height of the fluid in the wellbore reduced to the oil and water phases rather than the effective lift height based on the energy balance relationship and (ii) the power of the gas phase delivered by the pumping pump is disregarded, and only the effective power of the pump delivering the oil-water mixture is considered. (4) The influence of the wellbore parameters on the wellbore efficiency and sub–efficiency is systematically analyzed. The analysis results have an important significance in the guidance of energy saving in pumping wells.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:13:p:4988-:d:1180753
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/16/13/4988/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/16/13/4988/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Qin Li & Bo Chen & Zhiqiang Huang & Haipin Tang & Gang Li & Lei He, 2019. "Study on Equivalent Viscous Damping Coefficient of Sucker Rod Based on the Principle of Equal Friction Loss," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-12, April.
    2. 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.
    3. 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).
    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. 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.
    2. Manickavel Baranidharan & Rassiah Raja Singh, 2022. "AI Energy Optimal Strategy on Variable Speed Drives for Multi-Parallel Aqua Pumping System," Energies, MDPI, vol. 15(12), pages 1-29, June.
    3. 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:jeners:v:16:y:2023:i:13:p:4988-:d:1180753. 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.