Petroleum Wells-Drilling/Production/Construction

Model Development of Torsional Drillstring and Investigating Parametrically the Stick-Slips Influencing Factors

[+] Author and Article Information
Parimal Arjun Patil

e-mail: parimal.patil@tu-clausthal.de

Catalin Teodoriu

Institute of Petroleum Engineering,
Clausthal University of Technology,
Agricola Str. 10, Clausthal-Zellerfeld,
Niedersachen 38678, Germany

1Corresponding author.

Contributed by the Petroleum Division of ASME for publication in the Journal of Energy Resources Technology. Manuscript received July 9, 2012; final manuscript received October 19, 2012; published online December 12, 2012. Assoc. Editor: W. David Constant.

J. Energy Resour. Technol 135(1), 013103 (Dec 12, 2012) (7 pages) Paper No: JERT-12-1158; doi: 10.1115/1.4007915 History: Received July 09, 2012; Revised October 19, 2012

Drillstring vibration is one of the limiting factors maximizing drilling performance. Torsional vibrations/oscillations while drilling is one of the sever types of drillstring vibration which deteriorates the overall drilling performance, causing damaged bit, failure of bottom-hole assembly, overtorqued tool joints, torsional fatigue of drillstring, etc. It has been identified that the wellbore-drillstring interaction and well face-drill bit interaction are the sources of excitation of torsional oscillations. Predrilling analysis and real time analysis of drillstring dynamics is becoming a necessity for drilling oil/gas or geothermal wells in order to optimize surface drilling parameters and to reduce vibration related problems. It is very challenging to derive the drillstring model considering all modes of vibrations together due to the complexity of the phenomenon. This paper presents the mathematical model of a torsional drillstring based on nonlinear differential equations which are formulated considering drillpipes and bottom-hole assembly separately. The bit–rock interaction is represented by a nonlinear friction forces. Parametric study has been carried out analyzing the influence of drilling parameters such as surface rotations per minute (RPM) and weight-on-bit (WOB) on torsional oscillations. Influences of properties of drillstring like stiffness and inertia, which are most of the times either unknown or insufficiently studied during modeling, on torsional oscillation/stick-slip is also studied. The influences of different rock strength on rate of penetration (ROP) considering the drilling parameters have also been studied. The results show the same trend as observed in fields.

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Nes, O., Fjær, E., Tronvoll, J., Kristiansen, T. G., and Horsrud, P., 2012, “Drilling Time Reduction Through an Intergrated Rock Mechanics Analysis,” ASME J. Energy Resour. Technol., 134(3), p. 032802. [CrossRef]
Franca, L. F. P., 2010, “Drilling Action of Roller-Cone Bits: Modeling and Experimental Validation,” ASME J. Energy Resour. Technol., 132(4), p. 043101. [CrossRef]
Dubinsky, V. S., and Baecker, D. R., 1998, “An Interactive Drilling Dynamics Simulator for Drilling Optimization and Training,” SPE Annual Technical Conference and Exhibition, New Orleans, LA, SPE Paper No. 49205-MS. [CrossRef]
Kriesels, P. C., Keultjes, W. J., Dumont, P., Huneidi, I., Owoeye, O. O., and Hartmann, R. A., 1999, “Cost Savings Through an Integrated Approach to Drillstring Vibration Control,” SPE/IADC Middle East Drilling Technical Conference, Abu Dhabi, UAE, Paper No. 57555-MS. [CrossRef]
Guerrero, C., and Kull, B., 2007, “Deployment of an SeROP Predictor Tool for Real-Time Bit Optimization,” SPE/IADC Drilling Conference, Amsterdam, The Neatherlands, Paper No. 105201-MS. [CrossRef]
Brett, J. F., 1992, “The Genesis of Torsional Drillstring Vibrations,” SPE Drilling Engineering, pp. 169–174, Paper No. 21943-PA. [CrossRef]
Yigit, A., and Christoforou, A. P., 2000, “Coupled Torsional and Bending Vibrations of Actively Controlled Drillstrings,” J. Sound Vib., 234(1), pp. 67–83. [CrossRef]
Henneuse, H., 1992, “Surface Detection of Vibrations and Drilling Optimization: Field Experience,” SPE/IADC Drilling Conference, New Orleans, pp. 409–423. [CrossRef]
Halsey, G. W., Kyllingstad, A., and Kylling, A., 1988, “Torque Feedback Used to Cure Stick-Slip Motion,” SPE 63rd Annual Technical Conference and Exhibition, Houston, TX, Paper No. 18049-MS. [CrossRef]
Lin, Y.-Q., and Wang, Y.-H., 1991, “Stick-Slip Vibration of Drill Strings,” ASME J. Eng. Industry, 113(1), pp. 38–43. [CrossRef]
Yigit, A., and Christoforou, A. P., 2006, “Stick-Slip and Bit-Bounce Interaction in Oil-Well Drillstrings,” ASME J. Energy Resour. Technol., 128(4), pp. 268–274. [CrossRef]
Navarro-Lopez, E. M., and Suarez, R., 2004, “Practical Approach to Modelling and Controlling Stick-Slip Oscillation in Oilwell Drillstrings,” International Conference on Control Applications, Taipei, Taiwan, pp. 1454–1460.
Abbassian, F., and Dunayevsky, V. A., 1998, “Application of Stability Approach to Bit Dynamics,” SPE Drill. Completion, 13(2), pp. 99–107. [CrossRef]
Jansen, J. D., and van den Steen, L., 1995, “Active Damping of Self Excited Torsional Vibration in Oil Well Drillstring,” J. Sound Vib., 179(4), pp. 647–668. [CrossRef]
Mihajlovic, N., van Veggel, A. A., van de Wouw, N., and Nijmeijer, H., 2004, “Analysis of Friction-Induced Limit Cycling in a Experimental Drill-String System,” ASME J. Dyn. Sys., Meas., Control, 126(4), pp. 709–720. [CrossRef]
Serrarens, A. F., van de Molengraft, M. J., Kok, J. J., and van den Steen, L., 1998, “H Control for Suppressing Stick-Slip in Oil Well Drillstrings,” IEEE Control Syst., 18(2), pp. 19–30. [CrossRef]
Navarro-Lopez, E. M., 2009, “An Alternative Characterization of Bit-Sticking Phenomena in a Multi-Degree-of-Freedom Controlled Drillstring,” Nonlinear Anal.: Real World Appl., 10(5), pp. 3162–3174. [CrossRef]
Tikhonov, V. S., and Safronov, A. I., 2011, “Analysis of Postbuckling Drillstring Vibrations in Rotary Drilling of Extended-Reach Wells,” ASME J. Energy Resour. Technol., 133(4), p. 043102. [CrossRef]
Karnopp, D., 1985, “Computer Simulation of Stick-Slip Friction in Mechanical Dynamic Systems,” ASME J. Dyn. Sys., Meas., Control, 107(1), pp. 100–103. [CrossRef]
Leine, R. I., van Campen, D. H., de Kraker, A., and van den Steen, L., 1998, “Stick-Slip Vibrations Induced by Alternate Friction Models,” Nonlinear Dyn., 16, pp. 41–54. [CrossRef]
Gradl, C., Eustes, A. W., III, and Thonhauser, G., 2012, “An Analysis of Noise Characteristics of Drill Bits,” ASME J. Energy Resour. Technol., 134(1), p. 013103. [CrossRef]
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. [CrossRef]
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, pp. 540–558. [CrossRef]
Navarro-Lopez, E. M., and Cortes, D., 2007, “Sliding-Mode Control of a Multi-DOF Oilwell Drillstring With Stick-Slip Oscillations,” Proceedings of the 2007 American Control Conference, New York, IEEE, pp. 3837–3842. [CrossRef]
Dykstra, M. W., Nuebert, M., Hanson, J. M., and Meiners, M. J., 2001, “ Improving Drilling Performance by Applying Advanced Dynamics Models,” SPE/IADC Drilling Conference, Paper No. 67697-MS. [CrossRef]
Caicedo, H. U., Calhoun, W. M., and Ewy, R. T., 2005, “Unique ROP Predictor Using Bit-Specific Coefficient of Sliding Friction and Mechanical Efficiency as a Function of Confined Compressive Strength Impacts Drilling Performance,” SPE/IADC Drillng Conference, Amsterdam, The Netherlands, Paper No. 92576-MS. [CrossRef]


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Fig. 1

Schematic of a drilling process with input and output parameters

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Fig. 2

Modeling torsional drillstring

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Fig. 3

Representation of a drillstring as a torsional pendulum driven by a top drive motor

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Fig. 4

Torsional drillstring model using matlab/simulink interface

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Fig. 5

Effect of surface RPM (80–120) on bit speed

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Fig. 6

Effect of surface RPM (120–80) on bit speed (axis reversed for surface RPM in Fig. 5)

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Fig. 7

Effect of surface RPM on rate of penetration

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Fig. 8

Effect of WOB on bit speed

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Fig. 9

Effect of WOB on rate of penetration

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Fig. 10

Effect of drillstring stiffness on bit speed

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Fig. 11

Effect of drillstring stiffness on rate of penetration

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Fig. 12

Effect of drillstring inertia on bit speed

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Fig. 13

Effect of drillstring inertia on rate of penetration

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Fig. 14

Effect of confined compressive strength of rock on ROP

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Fig. 15

Effect of stick-slip influencing parameters on rate of penetration



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