Drillstring vibration analysis using differential quadrature method

Journal of Petroleum Science and Engineering

Volumn 70, Issue 3-4, 2010, Pages 235-242

  Hakimi, H ^a   Moradi, S ^a  

^a SHAHID CHAMRAN UNIVERSITY OF AHVAZ   (Iran)

Author keywords

Differential quadrature method; Drillstring dynamics; Nonlinear geometry; Vibrations

Indexed keywords

BOREHOLE WALL; DIFFERENTIAL QUADRATURE METHODS; DRILL STRINGS; DRILLSTRING DYNAMICS; EFFECTIVE LENGTH; FREE-VIBRATION ANALYSIS; INTERFACE BOUNDARIES; NEWTON-RAPHSON ALGORITHM; NON-LINEAR STATIC ANALYSIS; NONLINEAR DIFFERENTIAL EQUATION; NONLINEAR GEOMETRY; NUMERICAL RESULTS; SYSTEM OF NONLINEAR EQUATIONS; TORSIONAL NATURAL FREQUENCIES; VIBRATION PROBLEM;

BOREHOLES; BOUNDARY CONDITIONS; DIFFERENTIATION (CALCULUS); DRILLS; NATURAL FREQUENCIES; NEWTON-RAPHSON METHOD; NONLINEAR ANALYSIS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; STATIC ANALYSIS;

VIBRATION ANALYSIS;

ALGORITHM; BOREHOLE; DRILLING RIG; DYNAMIC ANALYSIS; GEOMETRY; NONLINEARITY; NUMERICAL MODEL; VIBRATION;

EID: 74149085086     PISSN: 09204105     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.petrol.2009.11.016     Document Type: Article

References (28)

1. Aarrestand T.V., Tonnesen H.A., and Kyllingstad A. Drillstring vibrations: theory and experiments on full-scale research drilling rig. Proceedings of the IADC/SPE Drilling Conference, Dallas, TX, SPE Paper No. 14760 (1986) 311-321
2. Aldred W.D., and Sheppard M.C. Drillstring vibrations: a new generation mechanism and control strategies. Proceedings of 67th Annual Technical Conference and Exhibition, Washington, DC, SPE Paper No. 24582 (1992) 353-363
3. Apostal M.C., Haduch G.A., and Williams J.B. A study to determine the effect of damping on finite-element-based, forced-frequency-response models for bottomhole assembly vibration analysis. 65th Annual Technical Conference and Exhibition of the Society of Petroleum Engineers, New Orleans, LA, SPE Paper No. 20458 (1990)
4. Baily J.J., and Finnie I. An analytical study of drill-string vibration. J. Eng. Ind. Trans. ASME (1960) 122-128
5. Baily J.J., and Finnie I. An experimental study of drill-string vibration. J. Eng. Ind. Trans. ASME (1960) 129-135
6. Baird J.A., Caskey B.C., Wormley D.N., and Stone C.M. GEODYN2: a bottomhole assembly/geological formation dynamic interaction computer program. Society of Petroleum Engineers Annual Technical Conference and Exhibition, Las Vegas, NV, SPE Paper No. 14328 (1985)
7. Bellman R., and Casti J. Differential quadrature and long-term integration. J. Math. Anal. Appl. 10 (1971) 235-238
8. Bellman R., Kashef B.G., and Casti J. Differential quadrature: a technique for the raid solution of nonlinear partial differential equations. J. Comput. Phys. 10 (1972) 40-52
9. Bert C.W., and Malik M. Differential quadrature method in computational mechanics: a review. Appl. Mech. Rev. 49 (1996) 1-28
10. Bhatti M.A. Advanced Topics in Finite Element Analysis of Structures (2000), Springer-Verlag, New York
11. Burgess T.M., McDaniel G.L., and Das P.K. Improving BHA tool reliability with drillstring vibration models: field experience and limitations. Proceedings of the SPE/IADC Drilling Conference, New Orleans, LA, SPE Paper No. 16109 (1987) 517-530
12. Dykstra, M.W., 1996. Nonlinear drill string dynamics. PhD Thesis, The University of Tulsa.
13. Heisig, G., 1993. On the static and dynamic behavior of drill strings in spatially curved boreholes. PhD Thesis, Technical University Braunschweig.
14. Jansen J.D. Nonlinear rotor dynamics as applied to oilwell drillstring vibrations. J. Sound Vib. 147 (1991) 115-135
15. Jogi P.N., Macpherson J.D., and Neubert M. Field verification of model-derived natural frequencies of a drill string. J. Energy Resour. Technol. 124 (2002) 154-162
16. Khan, K.Z., 1986. Longitudinal and torsional vibration of drillstrings. MS Thesis, Massachusetts Institute of Technology.
17. Khulief Y.A., and Al-Naser H. Finite element dynamic analysis of drillstring. J. Finite Elem. Anal. Des. 41 (2005) 1270-1288
18. Moradi S., and Taheri F. Postbuckling analysis of delaminated composite beams by differential quadrature method. J. Compos. Struct. 46 (1999) 33-39
19. Navarro-Lopez E.M., and Cortes D. Avoiding harmful oscillations in a drillstring through dynamical analysis. J. Sound Vib. 307 (2007) 152-171
20. Paslay P.R., Jan Y.M., Kingman J.E.E., and Macpherson J.D. Detection of BHA lateral resonances while drilling with surface longitudinal and torsional sensors. 67th Annual Technical Conference of the Society of Petroleum Engineers, Washington, DC, SPE Paper No. 24583 (1992) 365-372
21. Rey, O.F., 1983. Dynamics of unbalanced drill collars in a slanted hole. MS Thesis, Massachusetts Institute of Technology.
22. Shu C., and Richards B.E. Application of generalized differential quadrature to solve two-dimensional in compressible Navier-Stoke equation. Int. J. Numer. Methods Fluids 15 (1992) 791-798
23. Shyu, R.J., 1989. Bending of rotating drillstrings, PhD Thesis, Massachusetts Institute of Technology.
24. Spanos P.D., and Chevallier A.M. Nonlinear stochastic drill-string vibrations. Proceedings of the 8th ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, Notre Dame, Indiana, PMC2000-251 (2000)
25. Spanos P.D., Chevallier A.M., Politis N., and Payne B. Oil well drilling: a vibration perspective. Shock Vibr. Dig. 35 (2003) 81-99
26. Thomson W.T. Theory of Vibration with Applications (1998), Prentice Hall, New Jersey
27. Yigit A.S., and Christoforou A.P. Coupled axial and transverse vibrations of oilwell drillstrings. J. Sound Vib. 195 (1996) 617-627
28. Yigit A.S., and Christoforou A.P. Coupled torsional and bending vibration of drillstrings subject to impact with friction. J. Sound Vib. 215 (1998) 167-181