Theoretical modelling of post - buckling contact interaction of a drill string with inclined bore-hole surface

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

doi:10.12989/sem.2014.49.4.427

Cited by 8 publications

(12 citation statements)

References 20 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). Then, the G surface metrics is determined by the formula (6) In this case, the x k curvature represents the geodesical curvature geod k of the L curve in the G surface and it can be expressed as follows [17,20]:…”

Section: Fig 2 Axial Line L Of the Ds In Its Buckling In The Cylindrmentioning

confidence: 99%

“…In the first place, both of them are singularly perturbed [17,21] and for this reason, their modes of stability loss have the shapes of boundary effects, usually localized in boundary zones. Secondly, as a rule, these modes represent damping out oscillating harmonics.…”

Section: Equations Of Critical States Of the Ds Inside Inclined Bore-mentioning

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: Fig 2 Axial Line L Of the Ds In Its Buckling In The Cylindrmentioning

confidence: 99%

Section: Equations Of Critical States Of the Ds Inside Inclined Bore-mentioning

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

View full text Add to dashboard Cite

show abstract

“…Besides, the problem possesses essential complications stemming from appearance of additional constraints, imposed on the DS by the well wall surface, and application of contact and friction distributed forces, as well as change of orientation of gravity forces compressing the DS to the well wall (Dawson and Paslay 1984;Wang and Yuan 2012;Gulyayev et al 2014).…”

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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Global analysis of drill string buckling in the channel of a curvilinear bore-hole

Gulyayev

Shlyun

2017

Journal of Natural Gas Science and Engineering

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Theoretical modelling of post - buckling contact interaction of a drill string with inclined bore-hole surface

Cited by 8 publications

References 20 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

Global analysis of drill string buckling in the channel of a curvilinear bore-hole

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