The buckling of elongated rotating drill strings

Gulyayev, V.I.; Gaidaichuk, V. V.; Solovjov, I.L.; Gorbunovich, I. V.

doi:10.1016/j.petrol.2009.05.011

Cited by 77 publications

(22 citation statements)

References 18 publications

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“…Analysis of the DS stability in the bore-holes of these types was initiated after the pioneer paper by Dawsen and Pasley [6]. Later, a lot of refinements were introduced in theoretical models of the buckling effects [7][8][9][10][11][12]. Analysis of whirl interaction of a drill bit with the bore-hole bottom was performed by Musa et al [13].…”

Section: Critical Buckling Of Drill Strings In Cylindrical Cavities Omentioning

confidence: 99%

Critical Buckling of Drill Strings in Cylindrical Cavities of Inclined Bore-Holes

Musa¹,

Gulyayev²,

Shlyun³

et al. 2016

JMEA

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Notwithstanding the fact that the problem of drill string buckling (Eulerian instability) inside the cylindrical cavity of an inclined bore-hole attracts attention of many specialists, it is far from completion. This peculiarity can be explained by the complexity of its mathematic model which is described by singularly perturbed equations. Their solutions (eigen modes) have the shapes of boundary effects or buckles (harmonic wavelets) localized in zones of the bore-hole that are not specified in advance. Therefore, the problem should be stated in the domain of entire length of the drill string or in some separated part including an expected zone of its buckling. In the paper, a mathematic model for computer analysis of incipient buckling of a drill string in cylindrical channel of an inclined bore-hole is elaborated. The constitutive equation is deduced with allowance made for action of gravity, contact, and friction forces. Computer simulation of the drill string buckling is performed for different values of the bore-hole inclination angle, its length, friction coefficient, and clearance. The eigen values (critical loads) are found and modes of stability loss are constructed. The numerical results for the case when the inclination angle equals friction angle coincide with ones obtained analytically.

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Section: Critical Buckling Of Drill Strings In Cylindrical Cavities Omentioning

confidence: 99%

Critical Buckling of Drill Strings in Cylindrical Cavities of Inclined Bore-Holes

Musa¹,

Gulyayev²,

Shlyun³

et al. 2016

JMEA

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“…Some devotion has been given to the study of drilling risers in particular, but all such studies have been mainly focussed on the drill string as can be observed from the following studies: Vaz and Patel (1995), Sampaio et al (2007), Gulyayev et al (2009), Gulyayev andBorshch (2011), etc. These studies have treated the drill string as an independent structure whose motion does not influence any other structure or vice versa.…”

Section: Introductionmentioning

confidence: 99%

Effect Of Drill String Rotation On The Dynamic Response Of Drilling Risers

Major¹,

Big‐Alabo²,

Odi-Owei³

2015

International Journal of Applied Mechanics and Engineering

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The effect of the rotation of a drill string on the response of a drilling riser has been studied. A governing equation for the flexural response that incorporates the effect of the drill string rotation is developed from first principles, and the resulting differential equation is found to have a variable coefficient, which is a function of the drill string rotational speed. Results simulated for the free vibration response show that the drill string rotation reduces the natural frequency and increases the amplitude of vibration of the drilling riser. The implication of these findings is that neglecting the effect of rotation of the drill string leads to under-estimation of the deflection and over-estimation of the natural frequency. Further analysis reveals that for a drilling riser of given dimensions, a drill string rotational speed exists at which the natural frequency of the drilling riser is theoretical equal to zero, and this rotational speed is the threshold rotational speed.

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“…The first ones give rise to its buckling, while the second ones lead to spiral modes of the DS deforming [32].…”

Section: Three-point Boundary Value Problem For Elastic Vibrations Ofmentioning

confidence: 99%

Whirl Interaction of a Drill Bit with the Bore-Hole Bottom

Musa¹,

Gulyayev²,

Shevchuk³

et al. 2015

MME

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This paper deals with the theoretic simulation of a drill bit whirling under conditions of its contact interaction with the bore-hole bottom rock plane. The bit is considered to be an absolutely rigid ellipsoidal body with uneven surface. It is attached to the lower end of a rotating elastic drill string. In the perturbed state, the bit can roll without sliding on the bore-hole bottom, performing whirling vibrations (the model of dynamic equilibrium with pure rolling when maximum cohesive force does not exceed the ultimate Coulombic friction). To describe these motions, a nonholonomic dynamic model is proposed, constitutive partial differential equations are deduced. With their use, the whirling vibrations of oblong and oblate ellipsoidal bits are analyzed, the functions of cohesive (frictional) forces are calculated. It is shown that the system of elastic drill string and ellipsoidal bit can acquire stable or unstable whirl modes with approaching critical Eulerian values by the parameters of axial force, torque and angular velocity. The analogy of the found modes of motions with ones of the Celtic stones is established. It is shown that the ellipsoidal bits can stop their whirling vibrations and change directions of their circumferential motions in the same manner as the ellipsoidal Celtic stones do. As this takes place, the trajectories of the oblate ellipsoidal bits are characterized by more complicated paths and irregularities.

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The buckling of elongated rotating drill strings

Cited by 77 publications

References 18 publications

Critical Buckling of Drill Strings in Cylindrical Cavities of Inclined Bore-Holes

Critical Buckling of Drill Strings in Cylindrical Cavities of Inclined Bore-Holes

Effect Of Drill String Rotation On The Dynamic Response Of Drilling Risers

Whirl Interaction of a Drill Bit with the Bore-Hole Bottom

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