Drillstring vibration is detrimental to drilling operations. It is crucial to understand the underlying mechanisms to circumvent these vibrations and to help improve drilling performance. This paper presents a six degrees-of-freedom (DOF) finite element method (FEM) model to characterize the drillstring dynamics. In addition, a comprehensive bit-force model is developed and included as a boundary condition to the model, corresponding to the vibrations in axial, lateral, and torsional directions. This bit-force model considers the bottom hole assembly (BHA) eccentricity, mud damping, bit–rock interaction, and their coupling mechanisms. Simulation results have shown good agreement with field observations and experimental data in the literature. The utility of this modeling framework is demonstrated in the paper through case studies for normal operation, stick–slip vibration, and whirl vibration.
Issue Section:
Research Papers
References
1.
Macpherson
, J. D.
, Mason
, J. S.
, and Kingman
, J. E. E.
, 1993
, “Surface Measurement and Analysis of Drill-String Vibrations While Drilling
,” SPE/IADC Drilling Conference
, Amsterdam, The Netherlands, Feb. 22–25, pp. 953–963.2.
Tucker
, W. R.
, and Wang
, C.
, 1999
, “An Integrated Model for Drill-String Dynamics
,” J. Sound Vib.
, 224
(1
), pp. 123
–165
.3.
Jansen
, J. D.
, 1991
, “Non-Linear Rotor Dynamics as Applied to Oilwell Drillstring Vibrations
,” J. Sound Vib.
, 147
(1
), pp. 115
–135
.4.
Elsayed
, M. A.
, Dareing
, D. W.
, and Vonderheide
, M. A.
, 1997
, “Effect of Torsion on Stability, Dynamic Forces, and Vibration Characteristics in Drillstrings
,” ASME J. Energy Resour. Technol.
, 119
(1
), pp. 11
–19
.5.
Yigit
, A. S.
, and Christoforou
, A. P.
, 1998
, “Coupled Torsional and Bending Vibrations of Drillstrings Subject to iMPact With Friction
,” J. Sound Vib.
, 215
(1
), pp. 167
–181
.6.
Christoforou
, A. P.
, and Yigit
, A. S.
, 1997
, “Dynamic Modelling of Rotating Drillstrings With Borehole Interactions
,” J. Sound Vib.
, 206
(2
), pp. 243
–260
.7.
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
.8.
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
.9.
Vadali
, M.
, Sun
, Z.
, Xue
, Y.
, and Dykstra
, J.
, 2014
, “Dynamic Modeling of Bottomhole Assembly
,” ASME
Paper No. DSCC2014-5927.10.
Han
, J.
, Kim
, Y.
, 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
.11.
Ma
, Z.
, and Chen
, D.
, 2015
, “Modeling of Coupled Axial and Torsional Motions of a Drilling System
,” ASME
Paper No. DSCC2015-9939.12.
Khulief
, Y. A.
, and Al-Naser
, H.
, 2005
, “Finite Element Dynamic Analysis of Drillstrings
,” Finite Elem. Anal. Des.
, 41
(13
), pp. 1270
–1288
.13.
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
.14.
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
.15.
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
.16.
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
.17.
Perneder
, L.
, Detournay
, E.
, and Downton
, G.
, 2012
, “Bit/Rock Interface Laws in Directional Drilling
,” Int. J. Rock Mech. Min. Sci.
, 51
, pp. 81
–90
.18.
Christoforou
, A. P.
, and Yigit
, A. S.
, 2003
, “Fully Coupled Vibrations of Actively Controlled Drillstrings
,” J. Sound Vib.
, 267
(5
), pp. 1029
–1045
.19.
Liu
, M.
, and Gorman
, D. G.
, 1995
, “Formulation of Rayleigh Damping and Its Extensions
,” Comput. Struct.
, 57
(2
), pp. 277
–285
.20.
Atluri
, S. N.
, and Cazzani
, A.
, 1995
, “Rotations in Computational Solid Mechanics
,” Arch. Comput. Methods Eng.
, 2
(1
), pp. 49
–138
.21.
Zupan
, D.
, and Saje
, M.
, 2003
, “The Three-Dimensional Beam Theory: Finite Element Formulation Based on Curvature
,” Comput. Struct.
, 81
(18
), pp. 1875
–1888
.22.
Che
, D.
, and Ehmann
, K. F.
, 2013
, “Polycrystalline Diamond Turning of Rock
,” ASME
Paper No. MSEC2013-1127.23.
Chen
, S.
, Arfele
, R.
, Anderle
, S.
, and Romero
, J.
, 2013
, “A New Theory on Cutter Layout for Improving PDC Bit Performance in Hard and Transit Formation Drilling
,” IPTC
2013 International Petroleum Technology Conference
, Beijing, China, Mar. 26–28, pp. 338–348.24.
Marquez, M. B. S., Boussaada, I., Mounier, H., and Niculescu, S. I.,
2015
, Analysis and Control of Oilwell Drilling Vibrations
, Springer International Publishing AG, Switzerland.25.
Feng
, T.
, Zhang
, H.
, and Chen
, D.
, 2017
, “Dynamic Programming Based Controller to Suppress Stick-Slip in Drilling System
,” 2017 American Control Conference
, Seattle, WA, May 24–26.26.
Gressick
, W.
, Wen
, J. T.
, and Fish
, J.
, 2005
, “Order Reduction for Large-Scale Finite Element Models: A Systems Perspective
,” Int. J. Multiscale Comput. Eng.
, 3
(3
), pp. 337
–362
.27.
Franca
, L. F. P.
, 2011
, “A Bit–Rock Interaction Model for Rotary–Percussive Drilling
,” Int. J. Rock Mech. Min. Sci.
, 48
(5
), pp. 827
–835
.28.
Dunlop
, J.
, Isangulov
, R.
, Aldred
, W. D.
, Sanchez, H. A., Flores, J. L. S., Herdoiza, J. A., Belaskie, J. and Luppens, C., 2011
, “Increased Rate of Penetration Through Automation
,” SPE/IADC
Drilling Conference and Exhibition
, Amsterdam, The Netherlands, Mar. 1–3, SPE-139897-MS.29.
Feeny
, B.
, Guran
, A.
, Hinrichs
, N.
, and Popp
, K.
, 1998
, “A Historical Review on Dry Friction and Stick-Slip Phenomena
,” ASME Appl. Mech. Rev.
, 51
(5
), pp. 321
–341
.30.
Richard
, T.
, Germay
, C.
, and Detournay
, E.
, 2004
, “Self-Excited Stick–Slip Oscillations of Drill Bits
,” C. R. Mec.
, 332
(8
), pp. 619
–626
.Copyright © 2017 by ASME
You do not currently have access to this content.
