Stabilization of torsional vibration in oilwell drillstring system
| Autor: | Rhouma Mlayeh, Lotfi Beji, Samir Toumi, Azgal Abichou |
|---|---|
| Přispěvatelé: | Informatique, Biologie Intégrative et Systèmes Complexes (IBISC), Université d'Évry-Val-d'Essonne (UEVE), Laboratoire d'Ingénierie Mathématique (LIM), Ecole Polytechnique de Tunisie, Université de Carthage - University of Carthage-Université de Carthage - University of Carthage |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Engineering Drilling 02 engineering and technology 01 natural sciences Stability (probability) [SPI.AUTO]Engineering Sciences [physics]/Automatic symbols.namesake 020901 industrial engineering & automation Exponential stability 0103 physical sciences 010301 acoustics Torsional vibrations Partial differential equation Torsional vibration business.industry General Engineering Mechanics Damped wave Vibration Classical mechanics Backstepping symbols business Stability |
| Zdroj: | European Journal of Control European Journal of Control, Elsevier, 2017, 35, pp.19--27. ⟨10.1016/j.ejcon.2017.03.002⟩ European Journal of Control, 2017, 35, pp.19--27. ⟨10.1016/j.ejcon.2017.03.002⟩ |
| ISSN: | 0947-3580 |
| Popis: | International audience; Stick-slip oscillations also known as torsional vibrations appearing in oilwell drilling systems are a source of economic losses, borehole disruption, pipes disconnection, and prolonged drilling time. The torsional dynamics is modeled by a damped wave equation. An important stability issue is to find a control law that reject perturbations due to torsional vibrations. Hence, the primary aim of this paper is to prove the well-posedness of the damped wave equation. In the next step, using the Riemann invariants, the damped wave equation is transformed into 2 × 2 first-order transport equations. The backstepping techniques combined with kernel equations and the Lyapunov theory are used to prove the local exponential stability of the transformed system, consequently the torsional dynamic. Simulation results are presented to illustrate the effectiveness of the control law. |
| Databáze: | OpenAIRE |
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