Study on the mechanism of drilling speed increase considering the axial vibration of drill string


Based on the existing research and combining with downhole conditions, this paper proposes a new type of downhole vibration tool to increase the rate of penetration (ROP), shorten the drilling and completion cycle and achieve more productive operations. As a whole, the axial vibration of the drill string is analyzed uniformly and the ROP is increased. A dynamic analysis model of the axial vibration of the drill string in the horizontal well is established. Based on the research on the working mechanism of the tool, this paper analyzes the flow area, pressure drop and axial force of the core valve system and determines the change law of the axial force. The field experiments verified the correctness of the established dynamic model method and the rationality of the tool and showed that the tool has a significant effect of increasing the ROP. The theoretical model established in this paper can improve the understanding of drill string dynamics. The proposed design method can provide ideas for the development of new drag reduction and speedup tools, and the calculation results can provide a reference for the determination and optimization of key parameters for drilling speedup.

This is a preview of subscription content, access via your institution.

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


  1. 1.

    Qiu H, Yang J, Butt S (2018) Investigation on bit stick-slip vibration with random friction coefficients. J Petrol Sci Eng 164:127–139

    Article  Google Scholar 

  2. 2.

    Besselink B, Wouw NVD, Nijmeijer H (2011) A semi-analytical study of stick-slip oscillations in drilling systems. J Comput Nonlinear Dyn 6(2):293–297

    Google Scholar 

  3. 3.

    Yang L, Tian J, Liu Q et al (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

    Article  Google Scholar 

  4. 4.

    Lobo DM, Ritto TG, Castello DA (2017) Stochastic analysis of torsional drill-string vibrations considering the passage from a soft to a harder rock layer. Journal of the Brazilian Society of Mechanical Sciences and Engineering 39(6):2341–2349

    Article  Google Scholar 

  5. 5.

    Tian J, Wei L, Yang L et al (2020) Research and experimental analysis of drill string dynamics characteristics and stick-slip reduction mechanism. J Mech Sci Technol 34(3):977–986

    Article  Google Scholar 

  6. 6.

    Richard T, Germay C, Detournay E (2007) A simplified model to explore the root cause of stick–slip vibrations in drilling systems with drag bits. J Sound Vib 305(3):432–456

    Article  Google Scholar 

  7. 7.

    Rudat J, Dashevskiy D (2011) Development of an Innovative Model-Based Stick/Slip Control System// Society of Petroleum Engineers.

  8. 8.

    Tian J, Zhou Y, Yang L et al (2019) Analysis of stick-slip reduction for a new torsional vibration tool based on PID control. Proceedings of the Institution of Mechanical Engineers Part K Journal of Multi-body Dynamics 234(1):82–94

    Article  Google Scholar 

  9. 9.

    Liu X, Vlajic N, Long X et al (2013) Nonlinear motions of a flexible rotor with a drill bit: stick-slip and delay effects. Nonlinear Dyn 72(1–2):61–77

    MathSciNet  Article  Google Scholar 

  10. 10.

    Tian J, Li G, Dai L et al (2019) Torsional Vibrations and Nonlinear Dynamic Characteristics of Drill Strings and Stick-Slip Reduction Mechanism. ASME. J Computational Nonlinear Dyn. 14(8):081007–081011

    Article  Google Scholar 

  11. 11.

    Besselink B, Vromen T, Kremers N et al (2016) Analysis and Control of Stick-Slip Oscillations in Drilling Systems. IEEE Trans Control Syst Technol 24(5):1582–1593

    Article  Google Scholar 

  12. 12.

    Tian J, Hu X, Dai L et al (2020) Working mechanism and experimental study of dual-diameter and bi-speed composite drilling tool. Int J Green Energy 17(6):363–372

    Article  Google Scholar 

  13. 13.

    Ahmadi K, Altintas Y (2013) Stability of lateral, torsional and axial vibrations in drilling. Int J Mach Tools Manuf 68:63–74

    Article  Google Scholar 

  14. 14.

    Tian J, Yang Y, Dai L et al (2018) Kinetic characteristics analysis of a new torsional oscillator based on impulse response. Arch Appl Mech 88(10):1877–1891

    Article  Google Scholar 

  15. 15.

    Depouhon A, Detournay E (2014) Instability regimes and self-excited vibrations in deep drilling systems. J Sound Vib 333(7):2019–2039

    Article  Google Scholar 

  16. 16.

    Belokobylskii S, Prokopov V (1982) Friction-induced self-excited vibrations of drill rig with exponential drag law. Soviet Applied Mechanics 18(12):1134–1138

    Article  Google Scholar 

  17. 17.

    Tian J, Yang Y, Yang L (2017) Vibration characteristics analysis and experimental study of horizontal drill string with wellbore random friction force. Arch Appl Mech 87(2):1439–1451

    Article  Google Scholar 

  18. 18.

    Halsey G W, Kyllingstad A, Aarrestad T V, et al (1986) Drillstring torsional vibrations: comparison between theory and experiment on a full-scale research drilling rig. SPE/IADC Drilling Conference.

  19. 19.

    Wang R, Xue Q, Han L et al (2014) Torsional vibration analysis of push-the-bit rotary steerable drilling system. Meccanica 49(7):1601–1615

    Article  Google Scholar 

  20. 20.

    Li Z, Guo B (2007) Analysis of longitudinal vibration of drill string in air and gas drilling[C]//Rocky Mountain Oil & Gas Technology Symposium. Society of Petroleum Engineers.

  21. 21.

    Ritto TG, Escalante MR, Sampaio R et al (2013) Drill-string horizontal dynamics with uncertainty on the frictional force. J Sound Vib 332(1):145–153

    Article  Google Scholar 

  22. 22.

    Cunha A, Soize C, Sampaio R (2015) Computational modeling of the nonlinear stochastic dynamics of horizontal drillstrings. Comput Mech 56(5):849–878

    MathSciNet  Article  Google Scholar 

  23. 23.

    Tian J, Yang Z, Li Y et al (2016) Vibration analysis of a new drill string system with hydro-oscillator in horizontal well. J Mech Sci Technol 30(6):2443–2451

    Article  Google Scholar 

  24. 24.

    MohammedDaniel FS (2020) Vibration analysis of simultaneous drilling and reaming BHA. Journal of Petroleum Exploration and Production Technology.

    Article  Google Scholar 

  25. 25.

    Barton SP, Baez F, Alali A (2011) Drilling performance improvements in gas shale plays using a novel drilling agitator device. Society of Petroleum Engineers.

    Article  Google Scholar 

  26. 26.

    Jialin T, Ge Tongxu Hu, Zhichao, et al (2020) The effect of Negative pressure pulse on the drill string dynamics and its friction-reduction performance. Recovery, Utilization and Environmental Effects, Part A.

    Google Scholar 

  27. 27.

    Khulief YA, Al-Sulaiman FA, Bashmal S (2007) Vibration analysis of drillstrings with self-excited stick–slip oscillations. J Sound Vib 299(3):540–558

    Article  Google Scholar 

  28. 28.

    Tian J, Zhang T, Dai L et al (2018) Dynamic characteristics and test analysis of a new drilling downhole tool with anti-stick-slip features. J Mech Sci Technol 32(10):4941–4949

    Article  Google Scholar 

  29. 29.

    Kapitaniak M, Hamaneh VV, Chávez JP et al (2015) Unveiling complexity of drill–string vibrations: Experiments and modelling. International Journal of Mechanical Sciences, s 101–102:324–337

    Article  Google Scholar 

  30. 30.

    Tian J, Wei L, Zhang T (2019) Dynamic Research and Experimental Analysis of a New Downhole Drilling Tool. Arabian Journal for Science and Engineering 44(12):10231–10244

    Article  Google Scholar 

  31. 31.

    Canudas-de-Wit C, Rubio FR, Corchero MA (2008) D-OSKIL: A New Mechanism for Controlling Stick-Slip Oscillations in Oil Well Drillstrings. IEEE Trans Control Syst Technol 16(6):1177–1191

    Article  Google Scholar 

  32. 32.

    Yinao Su (2001) Research and Application of Screw Drilling Tools. Petroleum Industry Press, Beijing

    Google Scholar 

  33. 33.

    Wang Wenlong Hu, Qunai LH, etc, (2011) Analysis and application of drill string longitudinal vibration. Vibration and Shock 30(6):229–233 ((In Chinese))

    Google Scholar 

Download references


All authors gratefully acknowledge the support of The State Scholarship Fund of the China Scholarship Council (CSC) (No. 201608515039), National Natural Science Foundation of China (NSFC) (No.51674216) and National Science and Technology Major Project (No.2016ZX05038).

Author information



Corresponding authors

Correspondence to Jialin Tian or Lai Wei.

Additional information

Publisher's Note

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

Technical editor: Thiago Ritto

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Tian, J., Wei, L., Dai, L. et al. Study on the mechanism of drilling speed increase considering the axial vibration of drill string. J Braz. Soc. Mech. Sci. Eng. 43, 8 (2021).

Download citation


  • Downhole tool
  • Drill string
  • Vibration
  • Dynamics
  • Drilling