Critical buckling of drill strings in curvilinear channels of directed bore-holes

Gulyayev, V.I.; Gaidaichuk, V. V.; Andrusenko, E.N.; Shlyun, N

doi:10.1016/j.petrol.2015.03.004

Cited by 13 publications

(7 citation statements)

References 11 publications

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“…It can be concluded from these surveys that, basically, the approaches used by researchers attacking this problem were based on the buckling mode approximation by sinusoidal or helical curves, while as shown by Gulyayev et al [17][18][19], the problem of the DS buckling in channels of long bore-holes is singularly perturbed and therefore, the DS buckling occurs through forming harmonic or spiral wavelets of variable steps in unknown segments of the DS length. Sometimes, they represent high-frequency beating harmonics distributed throughout the total length of the DS.…”

Section: Critical Buckling Of Drill Strings In Cylindrical Cavities Omentioning

confidence: 99%

“…For this purpose, construct the non-linear differential equations of the DS equilibrium and linearize them in the vicinity of the considered stress-strain state. The external loads, corresponding to degeneration of the linearized operator, are considered to be bifurcational and eigen mode of this operator is the mode of the DS buckling [17][18][19].…”

Section: Geometric Prerequisites To the Bending Analysis Of A Drill Smentioning

confidence: 99%

“…2). In parallel with this system, the Frenet trihedron is used [18]. Its tangent unit vector t , unit vector of principal normal n , and unit vector of binormal b are calculated by the formulae…”

Section: Geometric Prerequisites To the Bending Analysis Of A Drill Smentioning

confidence: 99%

“…The bifurcation modeling is based on the analyses of non-linear equations of the curvilinear rod equilibrium. They are represented in scalar form in the moving coordinate system oxyz [18,19] …”

Section: Constitutive Equations Of the Ds Bending Inside Inclined Bormentioning

confidence: 99%

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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%

Section: Geometric Prerequisites To the Bending Analysis Of A Drill Smentioning

confidence: 99%

Section: Geometric Prerequisites To the Bending Analysis Of A Drill Smentioning

confidence: 99%

Section: Constitutive Equations Of the Ds Bending Inside Inclined Bormentioning

confidence: 99%

See 2 more Smart Citations

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

Musa¹,

Gulyayev²,

Shlyun³

et al. 2016

JMEA

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show abstract

“…Gulyayev et al (2014Gulyayev et al ( , 2015 elaborated a new mathematic model of a DS stability loss in smooth curvilinear channels. Without taking into consideration friction effects, they showed that the stated problem was singularly perturbed and so, typically, the modes of buckling were represented by boundary and localized effects in the shapes of wave packages or wavelets.…”

Section: Introductionmentioning

confidence: 99%

Influence of friction on buckling of a drill string in the circular channel of a bore hole

Gulyayev

Shlyun

2016

Pet. Sci.

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Enhancement of technology and techniques for drilling deep directed oil and gas bore hole is one of the most important problems of the current petroleum industry. Not infrequently, the drilling of these bore holes is attended by occurrence of extraordinary situations associated with technical accidents. Among these is the Eulerian loss of stability of a drill string in the channel of a curvilinear bore hole. Methods of computer simulation should play a dominant role in prediction of these states. In this paper, a new statement of the problem of critical buckling of the drill strings in 3D curvilinear bore holes is proposed. It is based on combined use of the theory of curvilinear elastic rods, Eulerian theory of stability, theory of channel surfaces, and methods of classical mechanics of systems with nonlinear constraints. It is noted that the stated problem is singularly perturbed and its solutions have the shapes of localized harmonic wavelets. The calculation results showed that the friction effects lead to essential redistribution of internal axial forces, as well as changing the eigenmode shapes and sites of their localization. These features make the buckling phenomena less predictable and raise the role of computer simulation of these effects.

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On the localised buckling of drillstrings in curved boreholes

Coman

2023

Acta Mech

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Critical buckling of drill strings in curvilinear channels of directed bore-holes

Cited by 13 publications

References 11 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

Influence of friction on buckling of a drill string in the circular channel of a bore hole

On the localised buckling of drillstrings in curved boreholes

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