Understanding bottom-hole assembly (BHA) dynamic phenomena remains a critical drilling systems issue due to the cost of potential failures. Many studies have provided useful insight into drillstring dynamics. This study extends previous efforts by providing a novel BHA model which accounts for several critical response factors and can be augmented to address a variety of other effects; new data from an experimental study regarding damping are presented. The proposed model represents the transfer function of the drillstring in terms of its natural modes and properly incorporates several factors critical to BHA dynamic response prediction, including frequency-dependent fluid added mass, and nonlinear wellbore constraints. Results from pertinent numerical studies are presented.

1.
Angona
F. A.
,
1965
, “
Drill String Vibration Attenuation and Its Effect on a Surface Oscillator Drilling System
,”
ASME Journal of Engineering for Industry
, Vol.
87
, May, pp.
110
-
114
.
2.
Apostal, M. C., Haduch, G. A., and Williams, J. B., 1990, “A Study to Determine the Effect of Damping on Finite-Element-Based, Forced-Frequency-Response Models for Bottomhole Assembly Vibration Analysis,” SPE 20458, 1990 Fall Conference, New Orleans, LA, Sept.
3.
Besaisow, A. A., and Payne, M. L., 1986, “A Study of Excitation Mechanisms and Resonances Inducing BHA Vibrations,” SPE 15560, 1986 Fall Conference, New Orleans, LA, Oct.
4.
Burgess, T. M., McDaniel, G. L., and Das, P. K., 1987, “Improving BHA Tool Reliability with Drillstring Vibration Models: Field Experience and Limitations,” SPE/IADC 16109, 1987 Drilling Conference, New Orleans, LA, Mar.
5.
Chen
S. L.
, and
Ge´radin
M.
,
1995
, “
An Improved Transfer Matrix Technique as Applied to BHA Lateral Vibration Analysis
,”
Journal of Sound and Vibration
, Vol.
185
, No.
1
, pp.
93
106
.
6.
Chen
S. S.
, and
Wambsganss
M. W.
,
1976
, “
Added Mass and Damping of Vibrating Rods in Confined Viscous Fluids
,”
ASME Journal of Applied Mechanics
, Vol.
42
, pp.
326
329
.
7.
Choi
S. H.
,
Pierre
C.
, and
Ulsoy
A. G.
,
1992
, “
Consistent Modeling of Rotating Timoshenko Shafts Subject to Axial Loads
,”
ASME Journal of Vibrations and Acoustics
, Vol.
114
, Apr. pp.
249
259
.
8.
Craig, R. R., 1981, Structural Dynamics—An Introduction to Computer Methods, John Wiley & Sons, New York, NY.
9.
Dawson, R., Lin, Y. Q., and Spanos, P. D., 1987, “Drill String Stick-Slip Oscillations,” Proceedings, 1987 Society for Experimental Mechanics Spring Meeting, Houston, TX, June 14–19, pp. 590–595.
10.
Eustes
A. W.
,
Mitchell
B. J.
, and
Stoner
M. S.
,
1994
, “
Selection of Slim Hole Core Rods by Vibratory Analysis
,”
ASME, JOURNAL OF ENERGY RESOURCES TECHNOLOGY
, Vol.
116
, Dec., pp.
251
257
.
11.
Ho, H. S., 1986, “General Formulation of Drillstring Under Large Deformation and Its Use in BHA Analysis,” SPE 15562, 1986 Fall Conference, New Orleans, LA, Oct.
12.
Jansen
J. D.
,
1991
, “
Non-linear Rotor Dynamics as Applied to Oilwell Drill-string Vibrations
,”
Journal of Sound and Vibration
, Vol.
147
, No.
1
, pp.
115
135
.
13.
Mitchell
R. F.
, and
Allen
M. B.
,
1985
, “
Lateral Vibration: The Key to BHA Failure Analysis
,”
World Oil
, Vol.
200
, No.
4
, Mar., pp.
101
106
.
14.
Payne, M. L., 1992, “Drilling Bottom-Hole Assembly Dynamics,” Ph.D. thesis, Rice University, Houston, TX.
15.
Przemieniecki, J. S., 1968, Theory of Matrix Structural Analysis, Dover Publications, Mineola, NY.
16.
Skaugen, E., and Kyllingstad, A., “Performance Testing of Shock Absorbers,” SPE 15561, 1986 Fall Conference, New Orleans, LA, October 1986.
17.
Suryanarayana
P. V. R.
, and
McCann
R. C.
,
1995
, “
An Experimental Study of Buckling and Post-Buckling of Laterally Constrained Rods
,”
ASME JOURNAL OF ENERGY RESOURCES TECHNOLOGY
, Vol.
117
, June, pp.
115
124
.
18.
Vandiver, J. K., Nicholson, J. W., and Shyu, R. J., 1988, “Case Studies of the Bending Vibration and Whirling Motion of Drill Collars,” SPE 18652.
19.
Vaz
M. A.
, and
Patel
M. H.
,
1995
, “
Analysis of Drill Strings in Vertical and Deviated Holes Using the Galerkin Technique
,”
Engineering Structures
, Vol.
17
, No.
6
, pp.
437
442
.
This content is only available via PDF.
You do not currently have access to this content.