Title :
Analysis of drilling vibrations: A time-delay system approach
Author :
Boussaada, Islam ; Mounier, Hugues ; Niculescu, Silviu-Iulian ; Cela, Arben
Author_Institution :
Lab. des Signaux et Syst., Supelec, Gif-sur-Yvette, France
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.
Keywords :
acceleration; delay systems; drag; drilling (geotechnical); dynamic response; friction; rocks; torque; torsion; vibrations; wave equations; angular acceleration; angular speed; axial acceleration; axial speed; axial vibration mode; boundary conditions; center manifold theorem; drag bit; drilling vibration analysis; interface bit-rock; normal form theory; qualitative dynamical response; realistic frictional torque; rotary drilling system; time delay system approach; torsional vibration mode; wave equations; Analytical models; Differential equations; Eigenvalues and eigenfunctions; Equations; Manifolds; Mathematical model; Vibrations; Center Manifold; Drilling system; Functional differential equations; Neutral systems; Normal forms; Time-delay systems; Vibrations analysis;
Conference_Titel :
Control & Automation (MED), 2012 20th Mediterranean Conference on
Conference_Location :
Barcelona
Print_ISBN :
978-1-4673-2530-1
Electronic_ISBN :
978-1-4673-2529-5
DOI :
10.1109/MED.2012.6265705