Skip to main content
SpringerLink
Log in

Research on the Coupled Axial-Transverse Nonlinear Vibration of Sucker Rod String in Deviated Wells

  • Original Paper
  • Published:
Journal of Vibration Engineering & Technologies Aims and scope Submit manuscript

Abstract

Purpose

The coupled axial-transverse nonlinear vibration simulation model of sucker rod sting (SRS) in deviated wells is established. Based on the simulation results, the nonlinear vibration phenomenon of SRS is analyzed, and the influence of centralizer arrangement on the nonlinear vibration of SRS is discussed.

Method

The mechanical simulation model of the coupled axial-transverse vibration of SRS in deviated wells can be simplified to the coupled axial-transverse vibration model of longitudinal and transverse curved beam with initial bending under borehole constraints. In this paper, when establishing the simulation model of the coupled axial-transverse vibration of SRS, it is proposed that the bending borehole trajectory is a main excitation of the vibration of SRS. Based on the theory of elastic vibration, a nonlinear dynamic simulation model of the coupled axial-transverse vibration of SRS in deviated well is established. Then the fourth-order Runge–Kutta method is used to solve the simulation model. The nonlinear vibration phenomenon of the SRS is studied by example analysis.

Results and conclusion

The simulation results show that: (1) the simulation curve of polished rod dynamometer card is in good agreement with the test curve, and the error value of polished rod maximum load and minimum load is within 5%, which shows that the coupled axial-transverse vibration simulation model of SRS established in this paper has high accuracy. (2) When the centralizer is not arranged, the chaotic motion of SRS mainly occurs in the compression section of SRS, which shows that the instability of SRS is the main reason for the chaotic motion of SRS. (3) The arrangement of centralizer can improve the bending rigidity of SRS, restrain or even eliminate the chaotic motion of SRS.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Liu H, Hao Z, Wang L et al (2015) Current technical status and development trend of artificial lift. Acta Petrol Sin 11:1441–1448

    Google Scholar 

  2. Xing MM (2016) Response analysis of longitudinal vibration of sucker rod string considering rod buckling. Adv Eng Softw 99:49–58

    Article  Google Scholar 

  3. Mohammad S, Amir ZBN (2014) Numerical analysis of free longitudinal vibration of nonuniform rods: Discrete singular convolution approach. J Eng Mech 8:06014007

    Google Scholar 

  4. Wang DY, Liu HZ (2018) Prediction and analysis of polished rod dynamometer card in sucker rod pumping system with wear. Shock Vib 2018:1–10

    Google Scholar 

  5. Zhang Q, Jiang B, Huang WJ et al (2018) Effect of wellhead tension on buckling load of tubular strings in vertical wells. J Petrol Sci Eng 164:351–361

    Article  Google Scholar 

  6. Zhang BY, Gao XW, Li XY (2019) Diagnosis of sucker rod pump based on generating dynamometer cards. J Process Control 77:76–88

    Article  Google Scholar 

  7. Gibbs SG (1963) Predicting the behavior of sucker-rod pumping systems. J Can Petrol Technol 7:769–778

    Article  Google Scholar 

  8. Doty DR, Schmidt Z (1983) An improved model for sucker rod pumping. SPE 1:33–41

    Article  Google Scholar 

  9. Shardakov IN, Wasserman IN (2010) Numerical Modeling of Longitudinal Vibration of a Sucker Rod String. J Sound Vib 329:317–327

    Article  Google Scholar 

  10. Liu XF, Wang CS, Liu CH et al (2013) Development of mechanical model for rod string based on well liquid flow characteristic. J Mech Eng 14:176–181

    Article  Google Scholar 

  11. Liu XF, Liu CH, Yang Y (2017) Dynamic behavior of the polished rod for the coalbed methane pumping installations. Oil Gas Sci Technol 16:1–12

    Google Scholar 

  12. Xing MM, Zhou LL, Zhao Y et al (2019) Fluid characteristic of multiphase fluid in annular space between pump barrel and plunger. J Cent South Univ 26:1327–1341

    Article  Google Scholar 

  13. Xing MM, Zhou LL, Zhang CM et al (2019) Simulation analysis of nonlinear friction of rod string in sucker rod pumping system. J Comput Nonlinear Dyn 14:091008–91011

    Article  Google Scholar 

  14. Moreno GA, Garriz AE (2020) Sucker rod string dynamics in deviated wells. J Petrol Sci Eng 184:106534

    Article  Google Scholar 

  15. Dong SM, Zhang WS, Zhang H et al (2011) Research on the distribution contact pressure between sucker rod and tubing string of rod pumping system in directional wells. Eng Mech 10:179–184

    Google Scholar 

  16. Sun XR, Dong SM, Liu MS et al (2018) The simulation model of sucker rod string transverse vibration under the space buckling deformation excitation and rod-tubing eccentric wear in vertical wells. J Vibroeng 1:283–299

    Article  Google Scholar 

  17. Lukasiewicz SA (1991) Dynamic behavior of the sucker rod string in the inclined well. In: Production operations symposium, Oklahoma City

  18. Xu J (1994) A new approach to the analysis of deviated rod-pumped wells. In: SPE international petroleum conference and exhibition of Mexico, Veracruz

  19. Xu J, Doty DR, Shahraki A (1999) A comprehensive rod-pumping model and its application to vertical and deviated wells. In: SPE mid-continent operations symposium, Oklahoma City

  20. Wang WC, Di QF, Yao JL et al (2010) A new finite element method in analyzing mechanical properties of sucker rod strings in 3D directional wellbores. Acta Petrol Sin 6:1018–1023

    Google Scholar 

  21. Dong SM (2003) Computer simulation of dynamic parameters of rod pumping system optimization. Petroleum Industry Press, Beijing

    Google Scholar 

  22. Li WC, Dong SM, Sun XR (2018) An improved sucker rod pumping system model and swabbing parameters optimized design. Math Probl Eng 2018:1–15

    Google Scholar 

  23. Hao YX, Niu Y, Zhang W et al (2018) Nonlinear vibration of FEM circular coincal panel under in-plane and transverse excitation. J Vib Eng Technol 6:453–469

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Yanshan University, Qinhuangdao, 066004, People’s Republic of China

    Hongbo Wang & Shimin Dong

Authors
  1. Hongbo Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shimin Dong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Shimin Dong.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, H., Dong, S. Research on the Coupled Axial-Transverse Nonlinear Vibration of Sucker Rod String in Deviated Wells. J. Vib. Eng. Technol. 9, 115–129 (2021). https://doi.org/10.1007/s42417-020-00214-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42417-020-00214-5

Keywords

Search

Navigation