Torsional stick–slip vibrations easily occur when the drill bit encounters a hard or a hard-soft staggered formation during drilling process. Moreover, serious stick–slip vibrations of the drill string is the main factor leading to low drilling efficiency or even causing the downhole tools failure. Therefore, establishing the stick–slip theoretical model, which is more consistent with the actual field conditions, is the key point for new drilling technology. Based on this, a new torsional vibration tool is proposed in this paper, then the multidegree-of-freedom torsional vibrations model and nonlinear dynamic model of the drill string are established. Combined with the actual working conditions in the drilling process, the stick–slip reduction mechanism of the drill string is studied. The research results show that the higher rotational speed of the top drive, smaller viscous damping of the drill bit, and smaller WOB (weight on bit) will prevent the stick–slip vibration to happen. Moreover, the new torsional vibration tool has excellent stick–slip reduction effect. The research results and the model established in this paper can provide important references for reducing the stick–slip vibrations of the drill string and improving the rock-breaking efficiency.

References

1.
Pavone
,
D. R.
, and
Desplans
,
J. P.
,
1994
, “Application of High Sampling Rate Downhole Measurements for Analysis and Cure of Stick-Slip in Drilling,”
Society of Petroleum Engineers
, SPE Annual Technical Conference and Exhibition, New Orleans, LA, Sept. 25–28,
SPE
Paper No. SPE-28324-MS.
2.
Tian
,
J.
,
Li
,
J.
,
Cheng
,
W.
,
Zhu
,
Z.
,
Yang
,
L.
,
Yang
,
Y.
, and
Zhang
,
T.
,
2018
, “
Working Mechanism and Rock-Breaking Characteristics of Coring Drill Bit
,”
J. Pet. Sci. Eng.
,
162
, pp.
348
357
.
3.
Liu
,
X.
,
Vlajic
,
N.
,
Long
,
X.
,
Meng
,
G.
, and
Balachandran
,
B.
,.
2014
, “
Coupled Axial-Torsional Dynamics in Rotary Drilling With State-Dependent Delay: Stability and Control
,”
Nonlinear Dyn.
,
78
(
3
), pp.
1891
1906
.
4.
Tian
,
J.
,
Fu
,
C.
,
Yang
,
L.
,
Yang
,
Z.
,
Pang
,
X.
,
Li
,
Y.
,
Zhu
,
Y.
, and
Liu
,
G.
,
2015
, “
The Wear Analysis Model of Drill Bit Cutting Element With Torsion Vibration
,”
Adv. Mech. Eng.
,
7
(
1
), p.
254026
.
5.
Tian
,
J.
,
Yang
,
Y.
,
Dai
,
L.
, and
Lin
,
X.
,
2018
, “
Kinetic Characteristics Analysis of a New Torsional Oscillator Based on Impulse Response
,”
Arch. Appl. Mech.
,
88
(
10
), pp.
1877
1891
.
6.
Kyllingstad
,
A.
, and
Halsey
,
G. W.
,
1988
, “
A Study of Slip/Stick Motion of the Bit
,”
SPE Drill. Eng.
,
3
(
04
), pp.
369
373
.
7.
Tian
,
J.
,
Yuan
,
C.
,
Yang
,
L.
,
Fu
,
C.
,
Liu
,
G.
,
Yang
,
Z.
, and
Wu
,
C.
,
2015
, “
Rock-Breaking Analysis Model of New Drill Bit With Tornado-Like Bottomhole Model
,”
J. Mech. Sci. Technol.
,
29
(
4
), pp.
1745
1752
.
8.
Liu
,
X.
,
Vlajic
,
N.
,
Long
,
X.
,
Meng,
,
G.
, and
Balachandran
,
B.
,
2014
, “
Multiple Regenerative Effects in Cutting Process and Nonlinear Oscillations
,”
Int. J. Dyn. Control
,
2
(
1
), pp.
86
101
.
9.
Tian
,
J.
,
Zhang
,
T.
,
Dai
,
L.
,
Cheng
,
W.
,
Yang
,
L.
, and
Yuan
,
C.
,
2018
, “
Dynamic Characteristics and Test Analysis of a New Drilling Downhole Tool With Anti-Stick-Slip Features
,”
J. Mech. Sci. Technol.
,
32
(
10
), pp.
4941
4949
.
10.
Tian
,
J.
,
Wu
,
C.
,
Yang
,
L.
,
Liu
,
G.
,
Yang
,
Z.
,
Yuan
,
C.
, and
Wu
,
B.
,
2016
, “
Bottomhole Model and Rock-Breaking Features Study of New Drill Bit With Swirling-Cutting Motion
,”
J. Chin. Soc. Mech. Eng.
,
37
(
3
), pp.
221
229
.
11.
Jansen
,
J. D.
, and
Steen
,
L. V. D.
,
1995
, “
Active Damping of Self-Excited Torsional Vibrations in Oil Well Drillstrings
,”
J. Sound Vib.
,
179
(
179
), pp.
647
668
.
12.
Tian
,
J.
,
Yang
,
Y.
, and
Yang
,
L.
,
2017
, “
Vibration Characteristics Analysis and Experimental Study of Horizontal Drill String With Wellbore Random Friction Force
,”
Arch. Appl. Mech.
,
87
(
9
), pp.
1439
1451
.
13.
Liu
,
X.
,
Vlajic
,
N.
,
Long
,
X
,
Meng
,
G.
, and
Balachandran
,
B,
,
2014
, “
State-Dependent Delay Influenced Drill-String Oscillations and Stability Analysis
,”
ASME J. Vib. Acoust.
,
136
(
5
), p.
051008
.
14.
Tian
,
J.
,
Wu
,
C.
,
Yang
,
L.
,
Yang
,
Z.
,
Liu
,
G.
, and
Yuan
,
C.
,
2016
, “
Mathematical Modeling and Analysis of Drill String Longitudinal Vibration With Lateral Inertia Effect
,”
Shock Vib.
,
2016
(
2
), p. 6281264.
15.
Challamel
,
N.
,
Sellami
,
H.
,
Chenevez
,
E.
, and
Gossuin
,
L.
,
2000
, “
A Stick-Slip Analysis Based on Rock/Bit Interaction: Theoretical and Experimental Contribution
,”
IADC/SPE Drilling Conference
, New Orleans, LA, Feb. 23–25,
SPE
Paper No. SPE-59230-MS.
16.
Tian
,
J.
,
Liu
,
G.
,
Yang
,
L.
,
Wu
,
C.
,
Yang
,
Z.
, and
Yuan
,
C.
,
2017
, “
The Wear Analysis Model and Rock-Breaking Mechanism of a New Embedded Polycrystalline Diamond Compact
,”
Proc. Inst. Mech. Eng. Part C
,
231
(
22
), pp.
4241
4249
.
17.
Khulief
,
Y. A.
,
Al-Sulaiman
,
F. A.
, and
Bashmal
,
S.
,
2007
, “
Vibration Analysis of Drillstrings With Self-Excited Stick–Slip Oscillations
,”
J. Sound Vib.
,
299
(
3
), pp.
540
558
.
18.
Cull
,
S. J.
, and
Tucker
,
R. W.
,
1999
, “
On the Modelling of Coulomb Friction
,”
J. Phys. A: Math. Gen.
,
32
(
11
), pp.
2103
2113
.
19.
Navarro-Lopez
,
E. M.
, and
Cortes
,
D.
,
2007
, “
Sliding-Mode Control of a multi-DOF Oilwell Drillstring With Stick-Slip Oscillations
,” IEEE American Control Conference (
ACC
), New York, July 11–13, pp.
3837
3842
.
20.
Lobo
,
D. M.
,
Ritto
,
T. G.
, and
Castello
,
D. A.
,
2017
, “
Stochastic Analysis of Torsional Drill-String Vibrations Considering the Passage From a Soft to a Harder Rock Layer
,”
J. Braz. Soc. Mech. Sci. Eng.
,
39
(
6
), pp.
2341
2349
.
21.
Richard
,
T.
,
Germay
,
C.
, and
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
(
305
), pp.
432
456
.
22.
Trevas
,
D.
,
2006
, “
Rotary Impact Well Drilling System and Method
,” U.S. Patent No. US7096980.
23.
Wassell
,
M. E.
,
Cobern
,
M. E.
,
Saheta
,
V.
,
Purwanto
,
A.
, and
CEPEDA
,
M.
,
2008
, “
Active Vibration Damper Improves Performance and Reduces Drilling Costs
,”
World Oil
,
229
, pp.
109
111
.https://www.worldoil.com/magazine/2008/september-2008/features/active-vibration-damper-improves-performance-and-reduces-drilling-costs
24.
Tian
,
J.
,
Hu
,
S.
,
Li
,
Y.
,
Yang
,
Z.
,
Yang
,
L.
,
Cai
,
X.
,
Zhu
,
Y.
, and
Fu
,
C.
,
2016
, “
Vibration Characteristics Analysis and Experimental Study of New Drilling Oscillator
,”
Adv. Mech. Eng.
,
8
(
6
), pp.
1
10
.
25.
Tian
,
J.
,
Yang
,
Z.
,
Li
,
Y.
,
Yang
,
L.
,
Wu
,
C.
,
Liu
,
G.
, and
Yuan
,
C.
,
2016
, “
Vibration Analysis of New Drill String System With Hydro-Oscillator in Horizontal Well
,”
J. Mech. Sci. Technol.
,
30
(
6
), pp.
2443
2451
.
26.
Nandakumar
,
K.
, and
Wiercigroch
,
M.
,
2013
, “
Stability Analysis of a State Dependent Delayed, Coupled Two DOF Model of Drill-String Vibration
,”
J. Sound Vib.
,
332
(
10
), pp.
2575
2592
.
27.
Balachandran
,
B.
, and
Zhao
,
M. X.
,
2000
, “
A Mechanics Based Model for Study of Dynamics of Milling Operations
,”
Meccanica
,
35
(
2
), pp.
89
109
.
28.
Tian
,
J.
,
Yuan
,
C.
,
Yang
,
L.
,
Wu
,
C.
,
Liu
,
G.
, and
Yang
,
Z.
,
2016
, “
The Vibration Analysis Model of Pipeline Under the Action of Gas Pressure Pulsation Coupling
,”
Eng. Failure Anal.
,
66
, pp.
328
340
.
29.
Liao
,
C.-M.
,
Balachandran
,
B.
,
Karkoub
,
M
, and
Abdel-Magid,
,
Y. L.
,
2011
, “
Drill-String Dynamics: Reduced-Order Models and Experimental Studies
,”
ASME J. Vib. Acoust.
,
133
(
4
), p.
041008
.
30.
Kapitaniak
,
M.
,
Vaziri
,
V.
,
Páez Chávez
,
J.
,
Chávez
,
J. P.
, and
Wiercigroch
,
M.
,
2018
, “
Experimental Studies of Forward and Backward Whirls of Drill-String
,”
Mech. Syst. Signal Process.
,
100
, pp.
454
465
.
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