A simplified model to explore the root cause of stick–slip vibrations in drilling systems with drag bits

Richard, Thomas; Germay, Christophe; Detournay, Emmanuel

doi:10.1016/j.jsv.2007.04.015

Cited by 278 publications

(251 citation statements)

References 32 publications

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“…2: Section of the bottom-hole profile located between two successive blades of a drill bit, characterized by n identical blades symmetrically distributed around the axis of revolution. The width of wearflat per blade is n = /n and the thickness of the rock ridge in front of a blade is d n = d/n (adapted from [8])…”

Section: Model Of the Drillstringmentioning

confidence: 99%

“…As discussed further below, the nature of the bit-rock interaction laws implies that both the weight-on-bit W and the torque-on-bit T are actually functions of the history of Φ (denoted by t 0 Φ) and the history of U (denoted by t 0 U ) [8], although the parameters of the interaction laws are assumed to be rate-independent [23]. The boundary conditions at the bit can be generically written as…”

Section: Model Of the Drillstringmentioning

confidence: 99%

“…In particular, the stick-slip oscillations of PDC bits have generally been attributed to a rateweakening bit-rock interface law [4,5,6,7]. However, a model based on a rate-independant bitrock interaction law has recently been proposed [8,9] that also predicts stick-slip oscillations of the bit. This model (henceforth referred to as the RGD model) instead makes use of the socalled regenerative effect, introduced by Tlusty [10] and Tobias [11] in their pioneering studies of tool chatter in metal machining.…”

Section: Introductionmentioning

confidence: 99%

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Multiple mode analysis of the self-excited vibrations of rotary drilling systems

Germay¹,

Denoël

Detournay

2009

Journal of Sound and Vibration

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142

101

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This paper extends the approach proposed by to analyze the axial and torsional vibrations of drilling systems that are excited by the particular boundary conditions at the drag bit-rock interface, by basing the formulation of the model on a continuum representation of the drillstring rather than on a characterization of the drilling structure by a two degree of freedom system. These boundary conditions account for both cutting and frictional contact at the interface. The cutting process combined with the quasi-helicoidal motion of the bit leads to a regenerative effect that introduces a coupling between the axial and torsional modes of vibrations and a state-dependent delay in the governing equations, while the frictional contact process is associated with discontinuities in the boundary conditions when the bit sticks in its axial and angular motion. The dynamic response of the drilling structure is computed using the finite element method. While the general tendencies of the system response predicted by the discrete model are confirmed by this computational model (for example that the occurence of stick-slip vibrations as well as the risk of bit bouncing are enhanced with an increase of the weight-on-bit or a decrease of the rotational speed), new features in the self-excited response of the drillstring can be detected. In particular, stickslip vibrations are predicted to occur at natural frequencies of the drillstring different from the fundamental one (as sometimes observed in field operations), depending on the operating parameters.

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Section: Model Of the Drillstringmentioning

confidence: 99%

Section: Model Of the Drillstringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multiple mode analysis of the self-excited vibrations of rotary drilling systems

Germay¹,

Denoël

Detournay

2009

Journal of Sound and Vibration

Self Cite

142

101

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show abstract

“…Navarro-Lopez and Cortes [2007], Saldivar et al [2011], Sagert et al [2013], Bekiaris-Liberis and Krstic [2014]. Recent works (Richard et al [2007]) suggest, however, that the mechanisms leading to stick-slip involve both the axial and torsional vibrations.…”

Section: Mechanical Instabilitiesmentioning

confidence: 99%

A distributed parameter systems view of control problems in drilling

Meglio

Aarsnes

2015

IFAC-PapersOnLine

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We give a detailed view of estimation and control problems raised by the drilling process where the distributed nature of the system cannot be ignored. In particular, we focus on the transport phenomena in Managed Pressure Drilling (MPD) and UnderBalanced Operations (UBO), as well as the time-delay mechanisms of the mechanical stick-slip vibrations. These industrial challenges raise increasingly difficult control questions for hyperbolic systems.

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“…In the past few years, a number of mathematical models have been introduced to study the torsional Behaviour of the drill-strings during drilling operation; see [4] for a detailed review of the recent development. For example, Richard et al [5] studied a simplified model to explore the root cause of stick-slip vibrations in drilling systems with drag bits, and Germay et al [6] introduced a state-dependent delay at the bit-rock interface. A reduced-order model allowing for radial, bending, and torsion motions of a flexible drill-string and stickslip interactions between the drill-string and the outer shell was developed by Liao et al [7].…”

Section: Introductionmentioning

confidence: 99%

Numerical and experimental studies of stick–slip oscillations in drill-strings

Liu

Chávez

et al. 2017

Nonlinear Dyn

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The cyclic nature of the stick-slip phenomenon may cause catastrophic failures in drillstrings or at the very least could lead to the wear of expensive equipment. Therefore, it is important to study the drilling parameters which can lead to stickslip, in order to develop appropriate control methods for suppression. This paper studies the stick-slip oscillations encountered in drill-strings from both numerical and experimental points of view. The numerical part is carried out based on path-following methods for nonsmooth dynamical systems, with a special focus on the multistability in drill-strings. Our analysis shows that, under a certain parameter window, the multistability can be used to steer the response of the drill-strings from a sticking equilibrium or stick-slip oscillation to an equilibrium with constant drill-bit rotation. In addition, a small-scale downhole drilling rig was implemented to conduct a parametric study of the stick-slip phenomenon. The parametric study involves the use of two flexible shafts with varying mechanical properties to observe the effects that would have on stick-slip during operation. Our experimental results demonstrate that varying some of the mechanical properties of the drill-string could in fact control the nature of stick-slip oscillations.

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A simplified model to explore the root cause of stick–slip vibrations in drilling systems with drag bits

Cited by 278 publications

References 32 publications

Multiple mode analysis of the self-excited vibrations of rotary drilling systems

Multiple mode analysis of the self-excited vibrations of rotary drilling systems

A distributed parameter systems view of control problems in drilling

Numerical and experimental studies of stick–slip oscillations in drill-strings

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