A Review of Coupled Vibration Models of Drillstring

  • Fu-shen Ren
  • Bao-jin WangEmail author
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)


Drilling is a significant constituent part in the process of the exploration and exploitation of oil and gas. Capital expenditure spent on the drilling process make up large portion of the entire cost, and so much of the reason causing this consequence depends on the unwanted vibrations of drillstring. Unwanted vibrations may cause premature failure of drillstring and bottom hole assembly (BHA), excessive friction of bit and inefficient drilling. However, there are also wanted vibrations, which can enhance the drilling process. A large number of models have been developed in the past decades. Due to the complexity of surrounding, a wide variety of boundary conditions (BCs) and assumptions are typically made. This paper aiming at providing a broad review on coupled vibrations of drillstring including coupled axial–torsional vibrations, coupled axial–lateral vibrations and coupled torsional–lateral vibrations.


Drillstring dynamics Nonlinear dynamics Drillstring vibrations Coupled vibrations model BHA 



This research is funded by the Natural Science Foundation of China (No. 11372071) and the Northeast Petroleum University Innovation Foundation for Postgraduate (No.YJSCX2016-022NEPU).


  1. 1.
    Kelessidis VC, Ahmed S, Koulidis A (2015) An improved drilling simulator for operations, research and training. In: 19th middle east oil and gas show and conferenceGoogle Scholar
  2. 2.
    Tian-Shou Ma, Ping Chen (2015) Development and use of a downhole system for measuring drilling engineering parameters. Chem Technol Fuels Oils 51(1):294–307CrossRefGoogle Scholar
  3. 3.
    An FJ (2014) Dynamic relationship between oil drilling cost and industry development based on wavelet approach. Ph.D. thesis, China University of Geosciences (Beijing) (in Chinese)Google Scholar
  4. 4.
    Ghasemloonia A, Rideout DG, Butt SD (2013) Vibration analysis of a drillstring in vibration-assisted rotary drilling: finite element modeling with analytical validation. ASME J Energy Resour Technol 135(3):1–18CrossRefGoogle Scholar
  5. 5.
    Saksala T (2011) Numerical modeling of bit-rock fracture mechanisms in percussive drilling with a continuum approach. Int J Numer Anal Methods Geomech 35(13):1483–1505Google Scholar
  6. 6.
    Spanos PD, Chevalllier AM, Politis NP (2002) Nonlinear stochastic drillstring vibrations. ASME J Vib Acoust 124(4):512–519CrossRefGoogle Scholar
  7. 7.
    Mahyari MF, Behzad M, Rashed GR (2009) Drillstring instability reduction by optimum positioning of stabilizers. Int J Mech Eng Sci 224(3):647–653CrossRefGoogle Scholar
  8. 8.
    Chi A, Zhang J, Ge W, Guo B (2006) Prediction of drillstring fatigue life under axial-torsional combined vibration. In: Proceedings of the SPE gas technology symposiumGoogle Scholar
  9. 9.
    Zamanian M, Khadem SE, Ghazavi MR (2007) Stick-slip oscillations of drag bits by considering damping of drilling mud and active damping system. J Pet Sci Eng 59(3–4):289–299CrossRefGoogle Scholar
  10. 10.
    Sampaio R, Piovan MT, Lozano GV (2007) Coupled axial torsional vibrations of drillstring by means of nonlinear model. J Mech Res Commun 34:497–502CrossRefGoogle Scholar
  11. 11.
    Germay C, Van de Wouw N, Nijmeijer H, Sepulchre R (2009) Nonlinear drillstring dynamics analysis. SIAM J Appl Dyn Syst 8(2):527–553MathSciNetCrossRefGoogle Scholar
  12. 12.
    Yigit AS, Christoforou AP (1996) Coupled axial and transverse vibrations of oilwell drillstrings. J Sound Vib 195(4):617–627CrossRefGoogle Scholar
  13. 13.
    Hakimi H, Moradi S (2009) Drillstring vibration analysis using differential quadrature method. J Pet Sci Eng 70(3):235–242Google Scholar
  14. 14.
    Sahebkar SM, Ghazavi MR, Khahem SE et al (2011) Non-linear vibration analysis of an axially moving drillstring system with time dependent axial load and velocity in inclined well. Mech Mach Theory 46(5):743–760CrossRefGoogle Scholar
  15. 15.
    Ghasemloonia A, Rideout DG, Butt SD (2013) Vibration analysis of a drillstring in vibration-assisted rotary drilling: finite element modeling with analytical validation. ASME J Energy Resour Technol 135(3):1–18CrossRefGoogle Scholar
  16. 16.
    Yigit AS, Christoforou AP (1998) Coupled torsional and bending vibrations of drillstrings subject to impact with friction. J Sound Vib 215(1):167–181CrossRefGoogle Scholar
  17. 17.
    Leine RI, Van Campen DH, Keultjes WJG (2002) Stick-slip whirl interaction in drillstring dynamics. ASME J Vib Acoust 124(2):209–220CrossRefGoogle Scholar
  18. 18.
    Melakhessou H, Berlioz A, Ferraris G (2003) A nonlinear well–drillstring interaction model. ASME J Vib Acoust 125(1):46–52CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.School of Mechanical Science and EngineeringNortheast Petroleum UniversityDaqingChina

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