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Application of the Transfer Matrix Method for the Analysis of Lateral Vibrations of Drillstrings with Parameter Uncertainties

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Model Validation and Uncertainty Quantification, Volume 3

Abstract

To compare the susceptibility of different drillstring assemblies to lateral vibrations while taking parameter uncertainties into consideration, a computationally efficient model based on the transfer matrix method (TMM) in combination with a modal reduction is proposed in this study. Changing boundary conditions along the drilling trajectory are taken into account by combining the linear dynamic analysis from the TMM model with a static solution obtained from a finite element model. The statistical evaluation of the results enables a comparison of the dynamic behavior of different drillstring configurations during an early design stage.

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References

  1. Saldivar Márquez, M.B., Boussaada, I., Mounier, H., Niculescu, S.-I.: Analysis and Control of Oilwell Drilling Vibrations: A Time-Delay Systems Approach. Springer, Cham (2015)

    Book  Google Scholar 

  2. Brett, J.F., Warren, T.M., Behr, S.M.: Bit whirl – a new theory of PDC bit failure. SPE Drill. Eng. 5, 275–281 (1990)

    Article  Google Scholar 

  3. Jansen, J.: Nonlinear dynamics of oilwell drillstrings. PhD thesis, TU Delft (1993)

    Google Scholar 

  4. Gorelik, I., Höhn, O., Neubauer, M., Wallaschek, J.: Model and method for a time-efficient analysis of lateral drillstring dynamics. In: Proceedings of ASME Turbo Expo 2015: Turbine Technical Conference and Exposition (2015)

    Google Scholar 

  5. Stroud, D.R.H., Lines, L.A., Minett-Smith, D.J.: Analytical and experimental backward whirl simulations for rotary steerable bottom hole assemblies. In: SPE/IADC Drilling Conference and Exhibition (2011)

    Google Scholar 

  6. Dykstra, M., Chen, D.-K., Warren, T., Azar, J.: Drillstring component mass imbalance: a major source of downhole vibrations SPE drilling and completion. SPE 11, 234–241 (1996)

    Google Scholar 

  7. Reckmann, H., Jogi, P., Kpetehoto, F., Chandrasekaran, S., Macpherson, J.: MWD failure rates due to drilling dynamics. In: IADC/SPE Drilling Conference and Exhibition (2010)

    Book  Google Scholar 

  8. Baryshnikov, A., Calderoni, A., Ligrone, A., Ferrara, P.: A new approach to the analysis of drillstring fatigue behaviour, SPE drilling & completion. Soc. Pet. Eng. 12, 77–84 (1997)

    Article  Google Scholar 

  9. Sweet, R.: Case history of drillstem failures offshore West Africa SPE drilling engineering. Soc. Pet. Eng. 7, 55–58 (1992)

    Google Scholar 

  10. Christoforou, A., Yigit, A.: Dynamic modeling of rotating drillstrings with borehole interaction. J. Sound Vib. 206, 243–260 (1997)

    Article  Google Scholar 

  11. Yigit, A., Christoforou, A.: Stick-slip and bit-bounce interaction in oil-well drillstrings. Trans. ASME J. Energy Resour. Tech. 128, 268–274 (2006)

    Article  Google Scholar 

  12. Heisig, G.: Zum statischen und dynamischen Verhalten von Tiefbohrsträngen in räumlich gekrümmten Bohrlöchern. PhD Thesis, Technische Universität Braunschweig, Institut für Technische Mechanik (1993)

    Google Scholar 

  13. Spanos, P.D., Payne, M.L.: Advances in Dynamic Bottomhole Assembly Modeling and Dynamic Response Determination SPE/IADC Drilling Conference. Society of Petroleum Engineers, New Orleans (1992)

    Google Scholar 

  14. Rudat, J., Dashevskiy, D.: Development of an innovative model-based stick/slip control system. In: SPE/IADC Drilling Conference and Exhibition. Society of Petroleum Engineers (2011)

    Google Scholar 

  15. Spanos, P., Chevallier, A., Politis, N., Payne, M.: Oil and gas well drilling: a vibrations perspective. Shock vib. Digest 35, 85–103 (2003)

    Article  Google Scholar 

  16. Holzer, H.: Die Berechnung der Drehschwingungen und ihre Anwendung im Maschinenbau. Springer, Berlin (1921)

    MATH  Google Scholar 

  17. Myklestad, N.O.: A new method of calculating natural modes of uncoupled bending vibration of airplane wings and other types of beams. J. Aeronaut. Sci. 11, 153–162 (1944)

    Article  MathSciNet  Google Scholar 

  18. Pestel, E.C., Leckie, F.A.: Matrix Methods in Elastomechanics. McGraw-Hill, New York (1963)

    Google Scholar 

  19. Gasch, R., Knothe, K., Liebich, R. (eds.): Strukturdynamik – Diskrete Systeme und Kontinua. Springer, Berlin (2012)

    Google Scholar 

  20. Bestle, D., Abbas, L., Rui, X.: Recursive eigenvalue search algorithm for transfer matrix method of linear flexible multibody systems. Multibody Sys. Dyn. 32, 429–444 (2014); Springer, Netherlands

    Google Scholar 

  21. Phadke, M.S.: Quality Engineering Using Robust Design. Prentice Hall International, Englewood Cliffs (1989)

    Google Scholar 

  22. Park, G., Hwang, K.-H., Lee, T.-H., Lee, K.H.: Robust design: an overview. AIAA J. 44, 181–191 (2006)

    Article  Google Scholar 

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Acknowledgements

The author would like to thank Baker Hughes and the German Federal Ministry for Economic Affairs and Energy (BMWi) for funding this research (Project Number FKZ 0324015).

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Correspondence to Ilja Gorelik .

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Gorelik, I. et al. (2019). Application of the Transfer Matrix Method for the Analysis of Lateral Vibrations of Drillstrings with Parameter Uncertainties. In: Barthorpe, R. (eds) Model Validation and Uncertainty Quantification, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-74793-4_15

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  • DOI: https://doi.org/10.1007/978-3-319-74793-4_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-74792-7

  • Online ISBN: 978-3-319-74793-4

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