Drilling vibration reduction via attractive ellipsoid method

Saldivar, Belem; Mondié, Sabine

doi:10.1016/j.jfranklin.2012.12.010

Cited by 23 publications

(17 citation statements)

References 40 publications

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“…However, bit-rock interaction experiments with single cutters may not reveal the intrinsic velocity weakening effect. Further investigation in this field was done by Saldivar et al 38,39 In the study, a friction model similar to the one by Navarro-L opez et al [29][30][31] was presented. D'Alembert transformation and Laplace transform were used to analyze and simulate the drillstring behavior.…”

Section: Distributed Vibration Modelsmentioning

confidence: 99%

Stick–slip vibrations in oil well drillstring: A review

Tang

Guo

Zhu

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

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A survey of the literature related to theoretical and experimental studies on stick-slip vibration in oilwell drillstring is carried out in this study. It aims to explain key concepts and present the existing methods for studying this phenomenon. After briefly describing the stick-slip vibration related problems, theoretical models for such phenomenon are discussed including both coupled and uncoupled models. Discussion for experimental investigations including both laboratory and field tests are hereinafter addressed. This study aims to summarize the literature related to the stick-slip vibration, and help researchers in understanding and suppressing such phenomenon.

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Section: Distributed Vibration Modelsmentioning

confidence: 99%

Stick–slip vibrations in oil well drillstring: A review

Tang

Guo

Zhu

et al. 2019

Journal of Low Frequency Noise, Vibration and Active Control

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show abstract

“…Consider the neutral model (37) of the torsional dynamics of an oilwell drillstring affected by the stick-slip phenomenon as presented in [77], [78] and [79]. The stick-slip phenomenon consists in the undesired event that a constant rotational velocity applied on the top of the string does not translate to a steady speed at the bottom of the hole.…”

Section: Open-loop Reduced Order Modelmentioning

confidence: 99%

Model Reduction of Neutral Linear and Nonlinear Time-Invariant Time-Delay Systems With Discrete and Distributed Delays

Scarciotti

Astolfi

2016

IEEE Trans. Automat. Contr.

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Abstract-The problem of model reduction by moment matching for linear and nonlinear differential time-delay systems is studied. The class of models considered includes neutral differential time-delay systems with discrete-delays and distributeddelays. The description of moment is revisited by means of a Sylvester-like equation for linear time-delay systems and by means of the center manifold theory for nonlinear time-delay systems. In addition the moments at infinity are characterized for both linear and nonlinear time-delay systems. Parameterized families of models achieving moment matching are given. The parameters can be exploited to derive delay-free reduced order models or time-delay reduced order models with additional properties, e.g. interpolation at an arbitrary large number of points. Finally, the problem of obtaining a reduced order model of an unstable system is discussed and solved.

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“…The angular velocity coming from the rotor Ω does not match the rotational speed of the load ∂Φ ∂t (0, t), this sliding speed results in the local torsion of the drillstring. In order to take into account this phenomenon, the following boundary condition is considered in [30] and [31]:…”

Section: Torsional Dynamicsmentioning

confidence: 99%