Skip to main content
Log in

Analysis of Drill String’s Vibration Characteristics Based on Sliding Mode-PI Controller

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

Abstract

Purpose

Drill string is the core component in drilling engineering, and studying drill string vibration is significant to reduce drilling costs and increase drilling efficiency.

Methods

The control equation is derived by establishing the drill string’s axial–torsion–lateral coupled vibration model. Based on the fourth-order Runge–Kutta method and adaptive step method, a sliding mode-PI controller is designed to control and analyze the drill string system’s axial–torsional-lateral coupled vibration.

Results

When the rotation speed increases, the drill string produces a strong backward whirl, and the drill tool is prone to failure. The sliding mode-PI control of the drill bit speed control can effectively suppress the whirl.

Conclusions

The designed sliding mode-PI controller can suppress the drill string vibration and adjust the vibration to an allowable range. It can effectively predict the dynamic performance of downhole tools, ensure operation efficiency and reliability, and provide a basic reference for the drill string dynamics study and vibration control.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Wang Y, Ni H, Tu Y, Wang R, Wang X, Zhang H, Lyu J, Xie H (2021) Experimental study on axial impact mitigating stick-slip vibration with a PDC bit. Shock Vib 2021:1–8. https://doi.org/10.1155/2021/8897283

    Article  Google Scholar 

  2. Zhao J, Liu Q, Zhu H, Wang Z, Liu W (2020) Nonlinear dynamic model and characterization of coiled tubing drilling system based on drilling robot. J Vib Eng Technol 9(4):541–561. https://doi.org/10.1007/s42417-020-00246-x

    Article  Google Scholar 

  3. Zhu H, Chen W, Zhu R, Gao J, Liao M (2020) Study on the dynamic characteristics of a rotor bearing system with damping rings subjected to base vibration. J Vib Eng Technol 8(1):2523–3920. https://doi.org/10.1007/s42417-019-00082-8

    Article  Google Scholar 

  4. Yang L, Tian J, Liu Q, Dai L, Hu Z, Li J (2020) The multidirectional vibration and coupling dynamics of drill string and its influence on the wellbore trajectory. J Mech Sci Technol 34(7):2681–2692. https://doi.org/10.1007/s12206-020-0601-x

    Article  Google Scholar 

  5. Tian J, Wei L, Dai L, Shadequr R, Ariful I, Rasel U, Zhang T (2021) Study on the mechanism of drilling speed increase considering the axial vibration of drill string. J Br Soc Mech Sci 43(8):1–11. https://doi.org/10.1007/s40430-020-02712-9

    Article  Google Scholar 

  6. Hu L, Alan P, Mansour K (2016) Suppression of lateral and torsional stick-slip vibrations of drillstrings with impact and torsional dampers. J Vib Acoust 138(5):1–11. https://doi.org/10.1115/1.4033640

    Article  Google Scholar 

  7. Toumi S, Beji L, Mlayeh R, Abichou A (2017) Stabilization of torsional vibration in oilwell drillstring system. Eur J Control 35:19–27. https://doi.org/10.1016/j.ejcon.2017.03.002

    Article  MathSciNet  MATH  Google Scholar 

  8. Zhang H, Yun X, Han Q, Hao H (2019) Dynamic behaviors of geared rotor system in integrally centrifugal compressor. J Vib Eng Technol 7(3):241–249. https://doi.org/10.1007/s42417-019-00117-0

    Article  Google Scholar 

  9. Tian J, Yang Y, Dai YL (2021) Dynamics and anti-friction characteristics study of horizontal drill string based on new anti-friction tool. Int J Green Energy. https://doi.org/10.1007/s40430-020-02712-9

    Article  Google Scholar 

  10. Tian J, Fan C, Wei L, Wang Y (2021) Analysis of critical whirling velocity of drill string. Energ Source Part A. https://doi.org/10.1080/15567036.2021.1916656

    Article  Google Scholar 

  11. Tian J, Li G, Dai L, Yang L, He H, Hu S (2019) Torsional vibrations and nonlinear dynamic characteristics of drill strings and stick-slip reduction mechanism. J Comput Nonlin Dyn 14(8):081007–081011. https://doi.org/10.1115/1.4043564

    Article  Google Scholar 

  12. Li W, Huang G, Yu F, Ni H, Jiang W, Zhang X (2020) Modeling and numerical study on drillstring lateral vibration for air drilling in highly-deviated wells. J Petrol Sci Eng 195:107913. https://doi.org/10.1080/15435075.2021.1880909

    Article  Google Scholar 

  13. Wang H, Xiao W, Liu Z, Hou C, Cui J, Fu L (2014) Analysis of lateral-and-torsional coupled vibration of drill string during drilling process. Noise Vib Control 1:61–66

    Google Scholar 

  14. Gupta S, Wahi P (2016) Global axial–torsional dynamics during rotary drilling. J Sound Vib 375:332–352. https://doi.org/10.1016/j.jsv.2016.04.021

    Article  Google Scholar 

  15. Liu Y, Gao D, Wang Z, Liu K (2017) Nonlinear dynamic model of drill-string transverse motion in a deviated well. J Vib Shock 36(24):1–6

    Google Scholar 

  16. Ren F, Wang B, Chen S (2018) Nonlinear modeling and qualitative analysis of coupled vibrations in a drill string. Int J Bifurcat Chaos 28(10):1850119. https://doi.org/10.1142/S0218127418501195

    Article  MathSciNet  Google Scholar 

  17. Ghasemloonia A, Geoff D, Butt S (2014) Analysis of multi-mode nonlinear coupled axial-transverse drillstring vibration in vibration assisted rotary drilling. J Petrol Sci Eng 116:36–49. https://doi.org/10.1016/j.petrol.2014.02.014

    Article  Google Scholar 

  18. De MLPP, Savi MA (2019) Drill-string vibration analysis considering an axial–torsional-lateral nonsmooth model. J Sound Vib 438:220–237. https://doi.org/10.1016/j.jsv.2018.08.054

    Article  Google Scholar 

  19. Lin T, Zhang Q, Lian Z, Xiao Z, Wang T, Li G, Ding J (2018) Experimental study on vibrational behaviors of horizontal drillstring. J Petrol Sci Eng 164:311–319. https://doi.org/10.1016/j.petrol2018.01.081

    Article  Google Scholar 

  20. Han J, Wang H, Lin Y, Cui M (2016) Identification and control of downhole vibration based on surface data. Oil Drill Product Technol 38(2):144–150

    Google Scholar 

  21. Monteiro HLS, Trindade MA (2017) Performance analysis of proportional integral feedback control for the reduction of stick-slip-induced torsional vibrations in oil well drillstrings. J Sound Vib 398:28–38. https://doi.org/10.1016/j.jsv.2017.03.013

    Article  Google Scholar 

  22. Vromen T, Dai CH, Wouw NVD, Oomen T, Astrid P, Nijimeijer H (2015) Robust output-feedback control to eliminate stick-slip oscillations in drill-string systems. IFAC-PapersOnLine 48(6):2405–8963. https://doi.org/10.1016/j.ifacol.2015.08.042

    Article  Google Scholar 

  23. Cheng J, Wu M, Wu F, Lu C, Chen X, Cao W (2021) Modeling and control of drill-string system with stick-slip vibrations using LPV technique. IEEE Trans Control Syst Technol 29(2):718–730. https://doi.org/10.1109/TCST.2020.2978892

    Article  Google Scholar 

  24. Fu M, Wu Y, Song S, Li J, Zhang W (2019) Design and application of a control system to suppress the stick-slip vibration for oil-well drill strings. J Vib Shock 38(10):256–261. https://doi.org/10.13465/j.cnki.jvs.2019.10.038

  25. Fu M, Wu Y, Song S, Li J, Zhang W (2019) State feedback and torque feed forward combined control system for suppressing drill-strings stick-slip vibration. J Northwest Polytech Univ 37(2):291–298. https://doi.org/10.13465/j.cnki.jvs.2019.10.038

  26. Zhang Q, Wu Y (2018) Modeling and control of restraining stick slip vibration of drill strings and bounce of drill bits. Oil Drill Product Technol 40(5):553–558

    Google Scholar 

  27. Delphine BP, Florent DM (2016) Prediction-based control of linear input-delay system subject to state-dependent state delay-Application to suppression of mechanical vibrations in drilling. IFAC Papersonline 49(8):111–117. https://doi.org/10.1016/j.ifacol.2016.07.427

    Article  MathSciNet  Google Scholar 

  28. Ulf JFA, Jean A, Florent DM, Roman S (2019) Estimating friction factors while drilling. J Petrol Sci Eng 179:80–91. https://doi.org/10.1016/j.petrol.2019.04.014

    Article  Google Scholar 

  29. Matthieu B, Frédéric G, Alexandre S (2020) Practical stability analysis of a drilling pipe under friction with a PI-controller. IEEE T Contr Syst T. https://doi.org/10.1109/TCST.2019.2943458

    Article  Google Scholar 

  30. Monteiro HLS, Trindade MA (2017) Performance analysis of proportional-integral feedback control for the reduction of stick-slip-induced torsional vibrations in oil well drillstrings. J Sound Vib 398:28–38. https://doi.org/10.1016/j.jsv2017.03.013

    Article  Google Scholar 

  31. Tian J, Yang H, Dai L, Yang Y, Song H (2021) Improved design and dynamics characteristics research of a composite percussion drilling tool. ASME J Energy Resour Technol 144(6):063201. https://doi.org/10.1115/1.4052103

    Article  Google Scholar 

  32. Volpi LP, Lobo DM, Ritto TG (2021) A stochastic analysis of the coupled lateral–torsional drill string vibration. Nonlinear Dynam 103(1):49–62. https://doi.org/10.1007/s11071-020-06099-z

    Article  Google Scholar 

  33. Tian J, Wei L, Yang L, Dai L, Zhang T, Liu H (2020) Research and experimental analysis of drill string dynamics characteristics and stick-slip reduction mechanism. J Mech Sci Technol 34(3):977–986. https://doi.org/10.1007/s12206-020-0201-9

    Article  Google Scholar 

  34. Zhang H, Di Q, Li N, Wang W, Chen F (2020) Measurement and simulation of nonlinear drillstring stick–slip and whirling vibrations. Int J Nonlin Mech 125:103528. https://doi.org/10.1016/j.ijnonlinmec.2020.103528

    Article  Google Scholar 

Download references

Acknowledgements

All authors gratefully acknowledge the support of the Open Fund of Key Laboratory of Oil & Gas Equipment (OGE201701-02) and National Science and Technology Major Project (No. 2016ZX05038).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jialin Tian.

Ethics declarations

Conflict of Interest

The authors declare that there are no conflicts of interest regarding the publication of this paper.

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

Tian, J., Liu, Y., Xiong, J. et al. Analysis of Drill String’s Vibration Characteristics Based on Sliding Mode-PI Controller. J. Vib. Eng. Technol. 10, 919–927 (2022). https://doi.org/10.1007/s42417-021-00419-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42417-021-00419-2

Keywords

Navigation