Self-excited stick-slip oscillations of drill bits

Thomas Richard, Christophe Germay, Emmanuel Detournay

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145 Scopus citations


This Note studies the self-excited stick-slip oscillations of a rotary drilling system with a drag bit, using a discrete model which takes into consideration the axial and torsional vibration modes of the bit. Coupling between these two vibration modes takes place through a bit-rock interaction law which accounts for both frictional contact and cutting processes at the bit-rock interface. The cutting process introduces a delay in the equations of motion which is ultimately responsible for the existence of self-excited vibrations, exhibiting stick-slip oscillations under certain conditions.

Original languageEnglish (US)
Pages (from-to)619-626
Number of pages8
JournalComptes Rendus - Mecanique
Issue number8
StatePublished - Aug 2004

Bibliographical note

Funding Information:
The authors would like to thank Martyn Fear, Robert Delwiche, and Oliver Matthews for the benefit of many useful discussions. The research was supported by grants from BP-Amoco, Security-DBS, the University of Minnesota, and Diamant Drilling Services.


  • Delai
  • Delay
  • Drillstring vibrations
  • Dynamical systems
  • Self-excited vibrations
  • Stick-slip
  • Stick-slip (adhérence-glissement)
  • Systèmes dynamiques
  • Vibrations
  • Vibrations auto-entretenues
  • Vibrations du train de tiges de forage


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