Abstract
This paper aims at constructing a novel hysteretic (non-reversible) bit-rock interaction model for the torsional dynamics of a drillstring. Non-reversible means that the torque on bit is not represented only in terms of the bit speed, but also of the bit acceleration, producing a hysteretic behavior. Here, the drillstring is considered as a continuous system which is discretized by means of the finite element method, where a reduced-order model is applied using the normal modes of the associated conservative system. The nonlinear torsional vibrations of the drillstring system are analyzed comparing the proposed bit-rock interaction model to a commonly used reversible model (without hysteresis). The parameters of the proposed hysteretic bit-rock interaction and of the commonly used reversible model are fitted to field data. Results show the system including a bit-rock interaction model with hysteresis effects reproduces a good approach of stick-slip cycle, and the simulated drillstring dynamics using the bit-rock interaction presents a similar behavior comparing to the field data.
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Acknowledgments
The fourth author would like to acknowledgment the financial support of the Brazilian agencies CNPq, CAPES, and FAPERJ. The authors would also like to acknowledge Schlumberger Oilfield Services for publishing this article.
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Real, F.F., Batou, A., Ritto, T.G., Desceliers, C., Aguiar, R.R. (2019). Hysteretic (Non-reversible) Bit-Rock Interaction Model for Torsional Vibration Analysis of a Drillstring. In: Cavalca, K., Weber, H. (eds) Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM . IFToMM 2018. Mechanisms and Machine Science, vol 62. Springer, Cham. https://doi.org/10.1007/978-3-319-99270-9_36
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