Comptes Rendus
no. 8
Self-excited stick–slip oscillations of drill bits
[Oscillations stick–slip auto-entretenues d'un outil de forage]

Présenté par : André Zaoui

Thomas Richard1  ; Christophe Germay2  ; Emmanuel Detournay3
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.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2004.01.016
Keywords: Vibrations, Dynamical systems, Stick–slip, Drillstring vibrations, Delay, Self-excited vibrations
Mot clés : Vibrations, Systèmes dynamiques, Stick–slip (adhérence–glissement), Vibrations du train de tiges de forage, Delai, Vibrations auto-entretenues
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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     title = {Self-excited stick{\textendash}slip oscillations of drill bits},
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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/

[1] D.R. Pavone, J.P. Desplans, Application of high sampling rate downhole measurements for analysis and cure of stick–slip in drilling, SPE 28324, 1994

[2] J.F. Brett The genesis of torsional drillstring vibrations, SPE Drilling Engineering, September 1992 , pp. 168-174

[3] N. Challamel Rock destruction effect on the stability of a drilling structure, J. Sound Vib., Volume 233 (2000) no. 2, pp. 235-254

[4] T. Richard; E. Detournay Stick–slip motion in a friction oscillator with normal and tangential mode coupling, C. R. Acad. Sci. Paris, Ser. IIb, Volume 328 (2000), pp. 1-8

[5] M.A. Elsayed; R.L. Wells; D.W. Dareing; K. Nagirimadugu Effect of process damping on longitudinal vibrations in drillstrings, J. Energ. Resour. – ASME, Volume 116 (1994), pp. 129-135

[6] E. Detournay; P. Defourny A phenomenological model for the drilling action of drag bits, Int. J. Rock Mech. Min., Volume 29 (1992) no. 1, pp. 13-23

[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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