Self-excited stick–slip oscillations of drill bits

Thomas Richard; Christophe Germay; Emmanuel Detournay

doi:10.1016/j.crme.2004.01.016

Self-excited stick–slip oscillations of drill bits

Presented by: André Zaoui

Thomas Richard ¹; Christophe Germay ²; Emmanuel Detournay ³

¹ Diamant Drilling Services, Zami 4, chaussée de Charleroi 91, 6060 Gilly, Belgium
² Systèmes et contrôle, université de Liège, Belgium
³ Department of Civil Engineering, University of Minnesota, 500 Pillsbury Drive SE, Minneapolis, MN 55455, USA

Comptes Rendus. Mécanique, Volume 332 (2004) no. 8, pp. 619-626.

Abstract
Résumé

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.

Cette Note traite du problème des oscillations auto-entretenues du type adhérence–glissement (stick–slip), qui se manifestent souvent dans les structures de forage pétrolier avec outils monobloc à taillants. Ce problème est étudié sur la base d'un modèle discret, dont les modes de vibrations axiales et de torsion sont couplés par une loi d'interaction roche-outil qui prend en compte les phénomènes de frottement et de coupe. Le processus de coupe introduit un délai dans les équations du mouvement, qui conduit à l'apparition de vibrations auto-entretenues pouvant dégénérer en oscillations stick–slip dans certaines conditions.

Received: 2004-01-10
Accepted: 2004-01-30
Published online: 2004-07-23

DOI: 10.1016/j.crme.2004.01.016

Keywords: Vibrations, Dynamical systems, Stick–slip, Drillstring vibrations, Delay, Self-excited vibrations
Mots-clés : Vibrations, Systèmes dynamiques, Stick–slip (adhérence–glissement), Vibrations du train de tiges de forage, Delai, Vibrations auto-entretenues

Author's affiliations:

Thomas Richard ¹; Christophe Germay ²; Emmanuel Detournay ³

¹ Diamant Drilling Services, Zami 4, chaussée de Charleroi 91, 6060 Gilly, Belgium
² Systèmes et contrôle, université de Liège, Belgium
³ Department of Civil Engineering, University of Minnesota, 500 Pillsbury Drive SE, Minneapolis, MN 55455, USA

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     author = {Thomas Richard and Christophe Germay and Emmanuel Detournay},
     title = {Self-excited stick{\textendash}slip oscillations of drill bits},
     journal = {Comptes Rendus. M\'ecanique},
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     volume = {332},
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     year = {2004},
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     language = {en},
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Thomas Richard; Christophe Germay; Emmanuel Detournay. Self-excited stick–slip oscillations of drill bits. Comptes Rendus. Mécanique, Volume 332 (2004) no. 8, pp. 619-626. doi : 10.1016/j.crme.2004.01.016. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.01.016/

References
Cited by

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[7] J.I. Adachi; E. Detournay; A. Drescher Determination of rock strength parameters from cutting tests, Proc. 2nd North American Rock Mechanics Symposium (NARMS 1996), Balkema, Rotterdam, 1996, pp. 1517-1523

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