Abstract
The realistic modeling and effective control of drill-strings has been an ongoing research challenge. This has recently come to focus due to the volatility in the oil industry. Owing to the severely nonlinear nature of the drill-string, evolved nonlinear control techniques have recently been proposed to overcome the inherent stick-slip dynamics which are severely detrimental to the drilling performance as well as structural health of any given drill-string. Yet, most of the controller performance is analysed without including the significant delay intrinsic to the overall system. In this paper, the impact of system delay on the overall performance of a controlled drill-string is studied via extensive simulations. The analysis presents the impact of delay on three recently proposed sliding-mode control schemes. A surprising coexistence of attractors is observed from the delayed system on the third controller. This result will potentially impact the design of implementable control schemes proposed in future.
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References
Vromen, T.: Control of stick-slip vibrations in drilling systems (2015)
Liu, Y.: Suppressing stick-slip oscillations in underactuated multibody drill-strings with parametric uncertainties using sliding-mode control. IET Control Theory Appl. 9(1), 91–102 (2014)
Vaziri Hamaneh, S.V.: Dynamics and control of nonlinear engineering systems. Ph.D. dissertation, University of Aberdeen (2015)
Hernandez-Suarez, R., Puebla, H., Aguilar-Lopez, R., Hernandez-Martinez, E.: An integral high-order sliding mode control approach for stick-slip suppression in oil drillstrings. Pet. Sci. Technol. 27(8), 788–800 (2009)
Oladunjoye, I.O., Vaziri, V., Ing, J., Aphale, S.S.: Severity analysis of stick-slip bifurcation in drill-string dynamics under parameter variation. In: IASTED African Conference on Modelling and Simulation, AfricaMS (2016)
Navarro-López, E.M., Suárez, R.: Practical approach to modelling and controlling stick-slip oscillations in oilwell drillstrings. In: Proceedings of the 2004 IEEE International Conference on Control Applications, vol. 2, pp. 1454–1460. IEEE (2004)
Karkoub, M., Zribi, M., Elchaar, L., Lamont, L.: Robust-synthesis controllers for suppressing stick-slip induced vibrations in oil well drill strings. Multibody Syst. Dyn. 23(2), 191–207 (2010)
Richard Degenhardt, P., Cohen, L.J., Tyczynski, P., Sliwa, R.E., Ostrowski, R.: Analysis of possibilities for modification of drill bit geometrical parameters used to drill holes in composite materials of various composition. Aircr. Eng. Aerosp. Technol.: Int. J. 87(2), 120–130 (2015)
Han, G., Timms, A., Henson, J., Aziz, I.A., et al.: Wellbore stability study: lessons and learnings from a tectonically active field. In: Asia Pacific Oil and Gas Conference & Exhibition. Society of Petroleum Engineers (2009)
Livescu, S., Craig, S., et al.: Increasing lubricity of downhole fluids for coiled-tubing operations. SPE J. 20(02), 396–404 (2015)
Abdo, J., Al-Shabibi, A., Al-Sharji, H.: Effects of tribological properties of water-based drilling fluids on buckling and lock-up length of coiled tubing in drilling operations. Tribol. Int. 82, 493–503 (2015)
Marquez, M.B.S., Boussaada, I., Mounier, H., Niculescu, S.-I.: Analysis and control of oilwell drilling vibrations (2015)
Serrarens, A., de Molengraft, M.V., Kok, J., den Steen, L.V.: H control for suppressing stick-slip in oil well drillstrings. IEEE Control Syst. 18(2), 19–30 (1998)
Canudas-de Wit, C., Corchero, M.A., Rubio, F.R., Navarro-López, E.: D-OSKIL: a new mechanism for suppressing stick-slip in oil well drillstrings. In: 44th IEEE Conference on Decision and Control and 2005 European Control Conference, CDC-ECC 2005, pp. 8260–8265. IEEE (2005)
Navarro-López, E.M.: An alternative characterization of bit-sticking phenomena in a multi-degree-of-freedom controlled drillstring. Nonlinear Anal.: Real World Appl. 10(5), 3162–3174 (2009)
Rachinskii, D., Schneider, K.: Dynamic Hopf bifurcations generated by nonlinear terms. J. Differ. Eqn. 210(1), 65–86 (2005)
Navarro-López, E.M., Licéaga-Castro, E.: Non-desired transitions and sliding-mode control of a multi-dof mechanical system with stick-slip oscillations. Chaos Solitons Fractals 41(4), 2035–2044 (2009)
Sprott, J.C., Wang, X., Chen, G.: Coexistence of point, periodic and strange attractors. Int. J. Bifurcat. Chaos 23(05), 1350093 (2013)
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Oladunjoye, I.O., Ing, J., Aphale, S.S. (2017). Delay-Induced Coexistence of Attractors in a Controlled Drill-String. In: Mohamed Ali, M., Wahid, H., Mohd Subha, N., Sahlan, S., Md. Yunus, M., Wahap, A. (eds) Modeling, Design and Simulation of Systems. AsiaSim 2017. Communications in Computer and Information Science, vol 751. Springer, Singapore. https://doi.org/10.1007/978-981-10-6463-0_43
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DOI: https://doi.org/10.1007/978-981-10-6463-0_43
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