A new class of drill strings is investigated whereby strategically designed and placed periodic inserts are utilized to filter out the vibration transmission along the drill strings. Such mechanical filtering capabilities allow the vibrations to propagate along the periodic drill string only within specific frequency bands called the “pass bands” and completely block it within other frequency bands called the “stop bands.” The design and the location of the inserts are selected to confine the dominant modes of vibration of the drill string within the stop bands generated by the periodic arrangement of the inserts in order to completely block the propagation of the vibrations. A finite element model (FEM) that simulates the operation of this new class of drill strings is developed to describe the complex nature of the vibration encountered during drilling operations. Experimental prototype of the passive periodic drill string was built and tested to demonstrate the feasibility and effectiveness of the concept of periodic drill string in mitigating undesirable vibrations. The experimental results are used to validate the developed theoretical model and to develop a scalable design tool that can be used to predict the dynamical behavior of this new class of drill strings.

References

1.
Spanos
,
P. D.
,
Sengupta
,
A. K.
,
Cunningham
,
R. A.
, and
Paslay
,
P. R.
,
1995
, “
Modeling of Roller Cone Bit Lift-Off Dynamics in Rotary Drilling
,”
ASME J. Energy Resour. Technol.
,
117
(
3
), pp.
197
207
.
2.
Jansen
,
J. D.
, and
Van Den Steen
,
L.
,
1995
, “
Active Damping of Self-Excited Torsional Vibrations in Oil Well Drillstrings
,”
J. Sound Vib.
,
179
(
4
), pp.
647
668
.
3.
Millheim
,
K. K.
, and
Apostal
,
M. C.
,
1981
, “
The Effect of Bottomhole Assembly Dynamics on the Trajectory of a Bit
,”
J. Pet. Technol.
,
33
(
12
), pp.
2323
2338
.
4.
Spanos
,
P. D.
,
Chevallier
,
A. M.
,
Politis
,
N. P.
, and
Payne
,
M. L.
,
2003
, “
Oil and Gas Well Drilling: A Vibrations Perspective
,”
J. Shock Vib. Dig.
,
35
(
2
), pp.
85
103
.
5.
Besaisow
,
A. A.
, and
Payne
,
M. L.
,
1988
, “
A Study of Excitation Mechanisms and Resonances Inducing Bottomhole-Assembly Vibrations
,”
SPE Drill. Eng.
,
3
(
1
), pp.
93
101
.
6.
Aarrestad
,
T. V.
,
Tonnesen
,
H. A.
, and
Kyllingstad
,
A.
,
1986
, “
Drillstring Vibrations: Comparison Between Theory and Experiments on a Full-Scale Research Drilling Rig
,”
SPE/IADC Drilling Conference
, Dallas, TX, Feb. 10–12,
SPE
Paper No. SPE-14760-MS.
7.
Jansen
,
J. D.
,
1991
, “
Non-Linear Rotor Dynamics as Applied to Oilwell Drillstring Vibrations
,”
J. Sound Vib.
,
147
(
1
), pp.
115
135
.
8.
Chen
,
S. L.
, and
Geradin
,
M.
,
1995
, “
An Improved Transfer Matrix Technique as Applied to BHA Lateral Vibration Analysis
,”
J. Sound Vib.
,
185
(
1
), pp.
93
106
.
9.
Yigit
,
A. S.
, and
Christoforou
,
A. P.
,
1996
, “
Coupled Axial and Transverse Vibrations of Oil Well Drillstrings
,”
J. Sound Vib.
,
195
(
4
), pp.
617
627
.
10.
Yigit
,
A. S.
, and
Christoforou
,
A. P.
,
2000
, “
Coupled Torsional and Bending Vibrations Actively Controlled Drillstrings
,”
J. Sound Vib.
,
234
(
1
), pp.
67
83
.
11.
Christoforou
,
A. P.
, and
Yigit
,
A. S.
,
1997
, “
Dynamic Modelling of Rotating Drillstrings With Borehole Interactions
,”
J. Sound Vib.
,
206
(
2
), pp.
243
260
.
12.
Christoforou
,
A. P.
, and
Yigit
,
A. S.
,
2003
, “
Fully Coupled Vibrations of Actively Controlled Drillstrings
,”
J. Sound Vib.
,
267
(
5
), pp.
1029
1045
.
13.
Leine
,
R. I.
, and
van Campen
,
D. H.
,
2002
, “
Stick-Slip Whirl Interaction in Drillstring Dynamics
,”
ASME J. Vib. Acoust.
,
124
(
2
), pp.
209
220
.
14.
Al-Hiddabi
,
S. A.
,
Samanta
,
B.
, and
Seibi
,
A.
,
2003
, “
Non-Linear Control of Torsional and Bending Vibrations of Oilwell Drillstrings
,”
J. Sound Vib.
,
265
(
2
), pp.
401
415
.
15.
Khulief
,
Y. A.
, and
Al-Naser
,
H.
,
2005
, “
Finite Element Dynamic Analysis of Drillstrings
,”
Finite Elem. Anal. Des.
,
41
(
13
), pp.
1270
1288
.
16.
Khulief
,
Y. A.
,
Al-Sulaiman
,
F. A.
, and
Bashmal
,
S.
,
2007
, “
Vibration Analysis of Drillstrings With Self-Excited Stick-Slip Oscillations
,”
Sound Vib.
,
299
(
3
), pp.
540
558
.
17.
Khulief
,
Y. A.
,
Al-Sulaiman
,
F. A.
, and
Bashmal
,
S.
,
2008
, “
Vibration Analysis of Drillstrings With String-Borehole Interaction
,”
Proc. Inst. Mech. Eng. Part C
,
222
(
1
), pp.
2099
2110
.
18.
Khulief
,
Y. A.
,
Al-Sulaiman
,
F. A.
, and
Bashmal
,
S.
,
2009
, “
Laboratory Investigation of Drillstring Vibrations
,”
Proc. Inst. Mech. Eng. Part C
,
223
(
1
), pp.
2249
2262
.
19.
Mihajlovic
,
N.
,
2005
, “
Torsional and Lateral Vibrations in Flexible Rotor Systems With Friction
,”
Ph. D. dissertation
, Technische Universiteit Eindhoven, Eindhoven, The Netherlands.https://pure.tue.nl/ws/files/2360026/200511781.pdf
20.
Mihajlovic
,
N.
,
van de Wouw
,
N.
,
Hendriks
,
M. P. M.
, and
Nijmeijer
,
H.
,
2006
, “
Friction-Induced Limit Cycling in Flexible Rotor Systems: An Experimental Drillstring Set-Up
,”
Nonlinear Dyn.
,
46
(
3
), pp.
273
291
.
21.
Hoie
,
B.
,
2012
, “
Drillstring Oscillations During Connections When Drilling From a Semi-Submersible Platform
,”
Master's thesis
, Stavanger University, Stavanger, Norway.https://brage.bibsys.no/xmlui/handle/11250/183357
22.
Esmaeili
,
A.
,
Elahifar
,
B.
,
Fruhwirth
,
R. K.
, and
Thonhauser
,
G.
,
2012
, “
Axial Vibration Monitoring in Laboratory Scale Using CDC MiniRig and Vibration Sensor Sub
,”
IEEE Instrumentation and Measurement Technology Conference
(
I2MTC
), Graz, Austria, May 13–16, pp. 512–517.
23.
Boussaada
,
I.
,
Mounier
,
H.
,
Niculescu
,
S. I.
, and
Cela
,
A.
,
2012
, “
Analysis of Drilling Vibrations: A Time-Delay System Approach
,”
20th Mediterranean Conference on Control and Automation
(
MED
), Barcelona, Spain, July 3–6, pp. 610–614.
24.
Ghasemloonia
,
A.
,
Rideout
,
D. G.
, and
Butt
,
S. D.
,
2013
, “
Coupled Transverse Vibration Modeling of Drillstrings Subjected to Torque and Spatially Varying Axial Load
,”
Proc. Inst. Mech. Eng. Part C
,
227
(
5
), pp.
946
960
.
25.
Melakhessou
,
H.
,
Berlioz
,
A.
, and
Ferraris
,
G.
,
2003
, “
A Nonlinear Well-Drillstring Interaction Model
,”
ASME J. Vib. Acoust.
,
125
(1), pp. 46–52.
26.
Ahmadabadi
,
Z. N.
, and
Khadem
,
S. E.
,
2013
, “
Self-Excited Oscillation Attenuation of Drill-String System Using Nonlinear Energy Sink
,”
Proc. Inst. Mech. Eng. Part C
,
227
(
2
), pp.
230
245
.
27.
Zhu
,
X.
, and
Lai
,
C.
,
2012
, “
Design and Performance Analysis of a Magnetorheological Fluid Damper for Drillstring
,”
Int. J. Appl. Electromagn. Mech.
,
40
(
1
), pp.
67
83
.
28.
Moradi
,
H.
,
Bakhtiari-Nejad
,
F.
, and
Sadighi
,
M.
,
2012
, “
Suppression of the Bending Vibration of Drill Strings Via an Adjustable Vibration Absorber
,”
Int. J. Acoust. Vib.
,
17
(
3
), pp.
155
163
.
29.
Aldushaishi
,
S. A.
,
2012
, “
Investigation of Drillstring Vibration Reduction Tools
,”
Master's thesis
, Missouri University of Science and Technology, St. Rolla, MO.http://scholarsmine.mst.edu/cgi/viewcontent.cgi?article=6149&context=masters_theses
30.
Choi
,
S. H.
,
Pierre
,
C.
, and
Ulsoy
,
A. G.
,
1992
, “
Consistent Modeling of Rotating Timoshenko Shafts Subject to Axial Loads
,”
ASME J. Vib. Acoust.
,
114
(
2
), pp.
249
259
.
31.
Nelson
,
H. D.
,
1980
, “
A Finite Rotating Shaft Element Using Timoshenko Beam Theory
,”
ASME J. Mech. Des.
,
102
(
4
), pp.
793
803
.
32.
Ritto
,
T. G.
,
Soize
,
C.
, and
Sampaio
,
R.
,
2009
, “
Non-Linear Dynamics of a Drill-String With Uncertain Model of the Bit-Rock Interaction
,”
Int. J. Non-Linear Mech.
,
44
(
8
), pp.
865
876
.
33.
Bazoune
,
A.
,
Khulief
,
Y. A.
, and
Stephen
,
N. G.
,
2003
, “
Shape Functions of the Three-Dimensional Timoshenko Beam Element
,”
J. Sound Vib.
,
259
(
2
), pp.
473
480
.
34.
Reddy
,
J. N.
,
2006
,
An Introduction to Finite Element Method
, 3rd ed.,
McGraw-Hill
,
New York
.
35.
Meirovitch
,
L.
,
1974
, “
A New Method of Solution of the Eigenvalue Problem for Gyroscopic Systems
,”
AIAA
,
12
(
10
), pp.
1337
1342
.
36.
Brillouin
,
L.
,
1946
,
Wave Propagation in Periodic Structures
, 2nd ed.,
Dover Publications
,
Mineola, NY
.
37.
Mead
,
D. J.
,
1970
, “
Free Wave Propagation in Periodically Supported Infinite Beams
,”
J. Sound Vib.
,
11
(
2
), pp.
181
197
.
38.
Cremer
,
L.
,
Heckel
,
M.
, and
Ungar
,
E.
,
1988
,
Structure-Borne Sound
,
Springer-Verlag
,
New York
.
39.
Faulkner
,
M.
, and
Hong
,
D.
,
1985
, “
Free Vibrations of a Mono-Coupled Periodic System
,”
J. Sound Vib.
,
99
(
1
), pp.
29
42
.
40.
Mead
,
D. J.
,
1975
, “
Wave Propagation and Natural Modes in Periodic System—I: Mono-Coupled Systems
,”
J. Sound Vib.
,
40
(
1
), pp.
1
18
.
41.
Mead
,
D. J.
, and
Markus
,
S.
,
1983
, “
Coupled Flexural-Longitudinal Wave Motion in a Periodic Beam
,”
J. Sound Vib.
,
90
(
1
), pp.
1
24
.
42.
Mead
,
D. J.
,
1971
, “
Vibration Response and Wave Propagation in Periodic Structures
,”
ASME J. Eng. Ind.
,
93
(
1
), pp.
783
792
.
43.
Mead
,
D. J.
, and
Yaman
,
Y.
,
1991
, “
The Harmonic Response of Rectangular Sandwich Plates With Multiple Stiffening: A Flexural Wave Analysis
,”
J. Sound Vib.
,
145
(
3
), pp.
409
428
.
44.
Gupta
,
G. S.
,
1970
, “
Natural Flexural Waves and the Normal Modes of Periodically-Supported Beams and Plates
,”
J. Sound Vib.
,
13
(
1
), pp.
89
111
.
45.
Liu
,
Z.
,
Chan
,
C. T.
, and
Sheng
,
P.
,
2005
, “
Analytic Model of Phononic Crystals With Local Resonances
,”
Phys. Rev. B
,
71
(
1
), p.
014103
.
46.
Nouh
,
M.
,
Aldraihem
,
O.
, and
Baz
,
A.
,
2014
, “
Vibration Characteristics of Metamaterial Beams With Periodic Local Resonances
,”
ASME J. Vib. Acoust.
,
136
(
6
), p.
061012
.
47.
Zalluhoglu
,
U.
, and
Olgac
,
N.
,
2016
, “
A Study of Helmholtz Resonators to Stabilize Thermoacoustically Driven Pressure Oscillations
,”
J. Acoust., Soc. Am.
,
139
(
4
), pp.
1962
1973
.
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