Drillstring vibration can cause fatigue failure of the drill pipe, premature wear of the bit, and a decreased drilling efficiency; therefore, it is important to accurately model the drillstring and bottomhole assembly (BHA) dynamics for vibration suppression. The dynamic analysis of directional drilling is more important, considering its wide application and the advantage of increasing drilling and production efficiencies; however, the problem is complex because the large bending can bring nonlinearities to drillstring vibration and the interaction with the wellbore can occur along the entire drillstring. To help manage this problem, this paper discusses a dynamic finite element method (FEM) model to characterize directional drilling dynamics by linearizing the problem along the well's central axis. Additionally, the rig force and drillstring/wellbore interaction are modeled as a boundary condition to simulate realistic drilling scenarios. The proposed modeling framework is verified using comparisons with analytical solutions and literatures. The utility of the proposed model is demonstrated by analyzing the dynamics of a typical directional drillstring.

References

References
1.
Halsey
,
G. W.
,
Kyllingstad
,
A.
, and
Kylling
,
A.
,
1988
, “
Torque Feedback Used to Cure Slip-Stick Motion
,” SPE Annual Technical Conference and Exhibition, Houston, TX, Oct. 2–5,
SPE
Paper No. SPE-18049-MS.
2.
Tucker
,
W. R.
, and
Wang
,
C.
,
1999
, “
On the Effective Control of Torsional Vibrations in Drilling Systems
,”
J. Sound Vib.
,
224
(
1
), pp.
101
122
.
3.
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
(
3
), pp.
432
456
.
4.
Leine
,
R. I.
,
Van Campen
,
D. H.
, and
Keultjes
,
W. J. G.
,
2002
, “
Stick-Slip Whirl Interaction in Drillstring Dynamics
,”
ASME J. Vib. Acoust.
,
124
(
2
), pp.
209
220
.
5.
Feng
,
T.
,
Zhang
,
H.
, and
Chen
,
D.
,
2017
, “
Dynamic Programming Based Controllers to Suppress Stick-Slip in a Drilling System
,”
American Control Conference
(
ACC
), Seattle, WA, May 24–26, pp. 1302–1307.
6.
Ma
,
Z.
, and
Chen
,
D.
,
2015
, “
Modeling of Coupled Axial and Torsional Motions of a Drilling System
,”
ASME
Paper No. DSCC2015-9939.
7.
Han
,
J. H.
,
Kim
,
Y. J.
, and
Karkoub
,
M.
,
2013
, “
Modeling of Wave Propagation in Drill Strings Using Vibration Transfer Matrix Methods
,”
J. Acoust. Soc. Am.
,
134
(
3
), pp.
1920
1931
.
8.
Ke
,
C.
, and
Song
,
X.
,
2017
, “
Computationally Efficient Down-Hole Drilling System Dynamics Modeling Integrating Finite Element and Transfer Matrix
,”
ASME J. Dyn. Syst. Meas. Control
,
139
(
12
), p.
121003
.
9.
Khulief
,
Y. A.
, and
Al-Naser
,
H.
,
2005
, “
Finite Element Dynamic Analysis of Drillstrings
,”
Finite Elem. Anal. Des.
,
41
(
13
), pp.
1270
1288
.
10.
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
.
11.
Feng
,
T.
,
Vadali
,
M.
,
Ma
,
Z.
,
Chen
,
D.
, and
Dykstra
,
J.
,
2017
, “
A Finite Element Method With Full Bit-Force Modeling to Analyze Drill String Vibration
,”
ASME J. Dyn. Syst. Meas. Control
,
139
(9), p. 091016.
12.
Arbatani
,
S.
,
Callejo
,
A.
,
Kovecses
,
J.
,
Kalantari
,
M.
,
Marchand
,
N.
, and
Dargahi
,
J.
,
2016
, “
An Approach to Directional Drilling Simulation: Finite Element and Finite Segment Methods With Contact
,”
Comput. Mech.
,
57
(
6
), pp.
1001
1015
.
13.
Meilan
,
T.
,
2004
, “
Double Nonlinear Finite Element Method on Drillstring in 3D Curved Wellbores
,”
Ph.D. thesis
, Nanjing University of Aeronautics and Astronautics, Nanjing, China.http://www.dissertationtopic.net/doc/1586959
14.
Sugiura
,
J.
,
Samuel
,
R.
,
Oppelt
,
J.
,
Ostermeyer
,
G. P.
,
Hedengren
,
J.
, and
Pastusek
,
P.
,
2015
, “
Drilling Modeling and Simulation: Current State and Future Goals
,” SPE/IADC Drilling Conference and Exhibition, London, Mar. 17–19,
SPE
Paper No. SPE-173045-MS.
15.
Feng
,
T.
,
Vadali
,
M.
, and
Chen
,
D.
,
2017
, “
Modeling and Analysis of Directional Drilling Dynamics
,”
ASME
Paper No. DSCC2017-5358.
16.
Sawaryn
,
S. J.
, and
Thorogood
,
J. L.
,
2003
, “
A Compendium of Directional Calculations Based on the Minimum Curvature Method
,” SPE Annual Technical Conference and Exhibition, Denver, CO, Oct. 5–8,
SPE
Paper No. SPE-84246-MS.
17.
Mitchell
,
R. F.
, and
Miska
,
S.
,
2011
,
Fundamentals of Drilling Engineering
,
Society of Petroleum Engineers
, Richardson, TX.
18.
Liu
,
M.
, and
Gorman
,
D. G.
,
1995
, “
Formulation of Rayleigh Damping and Its Extensions
,”
Comput. Struct.
,
57
(
2
), pp.
277
285
.
19.
Atluri
,
S. N.
, and
Cazzani
,
A.
,
1995
, “
Rotations in Computational Solid Mechanics
,”
Arch. Comput. Methods Eng.
,
2
(
1
), pp.
49
138
.
20.
Zupan
,
D.
, and
Saje
,
M.
,
2003
, “
The Three-Dimensional Beam Theory: Finite Element Formulation Based on Curvature
,”
Comput. Struct.
,
81
(
18
), pp.
1875
1888
.
21.
Bathe
,
K. J.
, and
Wilson
,
E. L.
,
1976
,
Numerical Methods in Finite Element Analysis
, Vol. 197, Prentice Hall, Englewood Cliffs, NJ, pp.
6
12
.
22.
Christoforou
,
A. P.
, and
Yigit
,
A. S.
,
1997
, “
Dynamic Modelling of Rotating Drillstrings With Borehole Interactions
,”
J. Sound Vib.
,
206
(
2
), pp.
243
260
.
23.
Pai
,
P. F.
, and
Palazotto
,
A. N.
,
1996
, “
Large-Deformation Analysis of Flexible Beams
,”
Int. J. Solids Struct.
,
33
(
9
), pp.
1335
1353
.
24.
Detournay
,
E.
, and
Defourny
,
P.
,
1992
, “
A Phenomenological Model for the Drilling Action of Drag Bits
,”
Int. J. Rock Mech. Min. Sci. Geomech. Abstr.
,
29
(
1
), pp. 13–23.
25.
Detournay
,
E.
,
Richard
,
T.
, and
Shepherd
,
M.
,
2008
, “
Drilling Response of Drag Bits: Theory and Experiment
,”
Int. J. Rock Mech. Min. Sci.
,
45
(
8
), pp.
1347
1360
.
26.
Karnopp
,
D.
,
1985
, “
Computer Simulation of Stick-Slip Friction in Mechanical Dynamic Systems
,”
ASME J. Dyn. Syst. Meas. Control
,
107
(
1
), pp.
100
103
.
27.
Saldivar Marquez
,
M. B.
,
Boussaada
,
I.
,
Mounier
,
H.
, and
Niculescu
,
S.
,
2015
,
Analysis and Control of Oilwell Drilling Vibrations
, Springer, Cham, Switzerland.
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