Analysis of drilling vibrations: A time-delay system approach

Islam Boussaada 1 Hugues Mounier 2 Silviu-Iulian Niculescu 3, 1 Arben Cela 4
1 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
3 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : The main purpose of this study is the description of the qualitative dynamical response of a rotary drilling system with a drag bit, using a model that takes into consideration the axial and the torsional vibration modes of the bit. The studied model, based on the interface bit-rock, contains a couple of wave equations with boundary conditions consisting of the angular speed and the axial speed at the top additionally to the angular and axial acceleration at the bit whose contain a realistic frictional torque. Our analysis is based on the center manifold Theorem and Normal forms theory whose allow us to simplify the model.
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Conference papers
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Submitted on : Sunday, June 9, 2013 - 7:39:15 PM
Last modification on : Tuesday, June 4, 2019 - 11:08:06 AM
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  • HAL Id : hal-00832013, version 1


Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu, Arben Cela. Analysis of drilling vibrations: A time-delay system approach. 20th Mediteranean Conference on Control and Automation, Jul 2012, Barcelona, Spain. p. 610-614. ⟨hal-00832013⟩



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