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Axial–Torsional Vibrations of Drill Strings with Crush-and-Shear Hybrid Bits at Constant Tension of Suspension Cables

  • ROCK FAILURE
  • Published:
Journal of Mining Science Aims and scope

Abstract

The article describes the rotary drilling modeling using the two-mass system of a drill string with a crush-and-shear hybrid drill bit. The head resistance of rocks on the bit is determined non-linearly: the penetration rate is added with the strength loss in the supporting medium under impact. The scope of the analysis embraces the continuous force generated by the rotating bit and the pulsed impacts by the drill strings at the end-points of the bit–bottomhole detachment. The initial conditions of the post-impact process, which define the initial penetration rate and the speed of the bit, are determined with regard to potential stick–slip effects. The numerical modeling proves that, as against the torsional vibrations, the axial–torsional vibrations of the drill string often result in the chaotic dynamics of drilling.

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REFERENCES

  1. Belokobyl’sky, S.V., Dinamika sistem s sukhim treniem i ee prilozhenie k zadacham gornoi mekhaniki (Dry Friction System Dynamics and Implications in Rock Mechanics), Moscow: Mashinostroenie, 2002.

    Google Scholar 

  2. Yunin, E.K. and Khegai, V.K., Dinamika grlubokogo bureniya (Deep Drilling Dynamics), Moscow: Nedra-Biznestsentr, 2004.

    Google Scholar 

  3. Gulyaev, V.I., Khudoliy, S.N. and Glushakova, O.V., Self-Excitation of Torsional Vibrations in Deep Drilling Strings, Probl. Prochn., 2009, no. 6, pp. 31–43.

  4. Monteiro, H.L.S. and Trindade, M.A., Performance Analysis of Proportional–Integral Feedback Control for the Reduction of Stick–Slip-Induced Torsional Vibrations in Oil Well Drillstrings, J. Sound Vibration, 2017, vol. 398, pp. 28–38.

    Article  Google Scholar 

  5. Tang, L., Guo, B., Zhu, X., Shi, Ch., and Zhou, Y., Stick–slip Vibrations in Oil Well Drillstring: A Review, J. Low Frequency Noise, Vibration Active Control, 2020, vol. 12, pp. 1–23.

    Google Scholar 

  6. Tarasov, V.N., Boyarkina, I.V., Kovalenko, M.V., Kuznetsov, S.M., and Shlegel’, I.F., Teoriya udara v stroitel’stve i mashinostroenii (Impact Theory in Construction and Machine Building), Moscow, 2006.

  7. Aptukov, V.N. and Fonarev, A.V., Approximated Estimate of Pile Penetration Depth in Soil in Multiple Impacts, Vestn. Perm. Univer. Matem. Mekhan. Informat., 2010, no. 2 (2), pp. 41–45.

  8. Isakov, A.L., Kondratenko, A.S., and Petreev, A.V., Simulation of Metal Pipe Driving in Soil with Batchwise Removal of Plug, Journal of Mining Science, 2019, vol. 55, no. 4, pp. 547–555.

    Article  Google Scholar 

  9. Aleksandrova, N.I. and Kondratenko, A.S., Calculation of Pipe Movement with Soil Plug under Longitudinal Impact, Journal of Mining Science, 2018, vol. 54, no. 3, pp. 384–396.

    Article  Google Scholar 

  10. Aleksandrova, N.I., Numerical–Analytical Investigation into Impact Pipe Driving in Soil with Dry Friction. Part II: Deformable External Medium, Journal of Mining Science, 2013, vol. 49, no. 3, pp. 413–425.

    Article  Google Scholar 

  11. Aleksandrova, N.I., Influence of Soil Plug on Pipe Ramming Process, Journal of Mining Science, 2017, vol. 53, no. 6, pp. 1073–1084.

    Article  Google Scholar 

  12. Sagomonya, A.Ya., Pronikanie (Penetration), Moscow: MGU, 1974.

    Google Scholar 

  13. Koronatov, V.A., ABC of Construction of a Rigorous Drilling Theory, Sistemy. Metody. Tekhnologii, 2016, no. 4, pp. 83–94.

  14. Koronatov, V.A., Basics of Mathematically Rigorous Deep Drilling Theory, Sistemy. Metody. Tekhnologii, 2020, no. 2, pp. 23–29.

  15. Sineev, S.V., Drilling Process Models and Applications, Vestn. Assots. Bur. Podrayd., 2009, no. 3, pp. 35–44.

  16. Richard, T., Germay, C., and Detournay, E., A Simplified Model to Explore the Root Cause of Stick–Slip Vibrations in Drilling Systems with Drag Bits, J. Sound Vibration, 2007, vol. 305, no. 3, pp. 432–456.

    Article  Google Scholar 

  17. Besselink, B., van de Wouw, N., and Nijmeijer, H., A Semi-Analytical of Stick–Slip Oscillations in Drilling Systems, ASME J. Comput. Nonlinear Dynamics, 2011, vol. 6, P. 021006.

    Article  Google Scholar 

  18. Detournay, E. and Defourny, P., A Phenomenological Model for the Drilling Action of Drag Bits, International J. Rock Mech. Min. Sci. Geomechanics Abstracts, 1992, vol. 29, no. 1, pp. 13–23.

    Article  Google Scholar 

  19. Tashakori, S., Vossoughi, G., Zohoor, H., and Yazdi, E., A. Modification of the Infinite-Dimensional Neutral-Type Time-Delay Dynamic Model for the Coupled Axial–Torsional Vibrations in Drill Strings with a Drag Bit, J. Comput. Nonlinear Dynamics, 2020, vol. 15, no. 8, pp. 1–6.

    Article  Google Scholar 

  20. Kragel’sky, I.V. and Shchedrov, V.S., Razvitie nauki o trenii (Development of the Friction Science), Moscow: AN SSSR, 1956.

    Google Scholar 

  21. Contensou, P., Couplage Entre Frottement de Glissement et Frottement de Pivotement Dans la Théorie de la Toupee, Kreiselprobleme Gyrodynamics: IUTAM Symposium Celerina, Berlin: Springer, 1963, pp. 201–216.

  22. Andronov, V.V. and Zhuravlev, V.F., Sukhoe trenie v zadachakh mekhaniki (Dry Friction in Problems in Mechanics), Moscow: NITS–Izhevsk: IKI, 2010.

    Google Scholar 

  23. Koronatov, V.A., Dry Friction in Nonprogressive Sliding of a Body and the Contensou–Zhuravlev Theory Review, Sistemy. Metody. Tekhnologii, 2019, no. 1, pp. 21–28.

  24. Borisov, A.V., Karavaev, Yu.L., Mamaev, I.S., Erdakova, N.N., Ivanova, T.B., and Tarasov, V.V., Experimental Study into Sliding of a Body with an Axially Symmetric Base on a Rough Surface, Nelinein. Dinamika, 2015, vol. 11, no. 3, pp. 547–577.

    Article  Google Scholar 

  25. Painlevè, P., Lemons sur le Frotlement, Paris: Hermann, 1895.

    Google Scholar 

  26. Koronatov, V.A., Coulomb Law in Sliding of Bodies in Nonprogressive Motion and the Painleve Paradox, Sistemy. Metody. Tekhnologii, 2019, no. 4, pp. 25–35.

  27. Goldsmith, W., Impact: The Theory and Physical Behavior of Colliding Solids, Edward Arnold Publishers Ltd., 1960.

    Google Scholar 

  28. Koronatov, V.A., Elementary Theory of Hammer Penetration in Hard Rocks in Single Impact with Regard to Cracking, Sistemy. Metody. Tekhnologii, 2021, no. 1, pp. 25–33.

  29. Koronatov, V.A., Elementary Theory of Hammer Penetration in Rocks in Single Impact: Application, Sistemy. Metody. Tekhnologii, 2021, no. 3, pp. 25–34.

  30. Koronatov, V.A., Elementary Theory of Hammer Penetration in Rocks in Single Impact: Generalization for the Case of a Rotary Hammer, Sistemy. Metody. Tekhnologii, 2022, no. 1, pp. 21–29.

  31. Nagaev, R.F., Isakov, K.A., and Lebedev, N.A., Dinamika gornykh mashin (Dynamics of Mining Machines), Saint-Petersburg: SPPGI, 1996.

    Google Scholar 

  32. Tucker, R.W. and Wang, C., Torsional Vibration Control and Cosserat Dynamics of a Drill-Rig Assembly, Meccanica, 2003, vol. 38, pp. 143–159.

    Article  Google Scholar 

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Authors and Affiliations

  1. Bratsk State University, 665709, Bratsk, Russia

    V. A. Koronatov

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  1. V. A. Koronatov
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Correspondence to V. A. Koronatov.

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Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, 2023, No. 1, pp. 45-60. https://doi.org/10.15372/FTPRPI20230105.

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Koronatov, V.A. Axial–Torsional Vibrations of Drill Strings with Crush-and-Shear Hybrid Bits at Constant Tension of Suspension Cables. J Min Sci 59, 39–52 (2023). https://doi.org/10.1134/S1062739123010052

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  • DOI: https://doi.org/10.1134/S1062739123010052

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