Quantized attractors in wave models of torsion vibrations of deep-hole drill strings

Gulyaev, V. I.; Glushakova, O. V.; Khudolii, S. N.

doi:10.3103/s0025654410020123

Cited by 13 publications

(6 citation statements)

References 6 publications

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“…However, if the length of DS is not small, the application of the model of the torsion oscillation of the pendulum is not justified for the analysis of its dynamics, since the oscillations of its elements cease to be co-phased and their modeling should be performed based on the wave differential equation. The necessity of such theory is indicated in the works [6,14,18,19]. It is important to take into account the viscous friction forces acting from the side of the washing liquid to the string along its entire length.…”

Section: Introductionmentioning

confidence: 99%

Investigation on Torsional Vibration of Drill String in Cylindrical Cavities of Vertical Bore-Hole with Liquid Medium

Musa¹,

Tjprc²

2018

IJMPERD

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The research work deals with the torsional vibration of a drill string in a vertical cylindrical cavity of a borehole with liquid medium. The mechanical interaction models of the drill string with viscous liquid are investigated, Also this paper describes the vibrations of the drill string bit with allowance made for viscous friction, the nonlinear deferential equation with partial derivatives is used. The oscillation scheme of torsional auto-vibration of homogeneous drill string in the form of oscillation pendulum is stated. It was found that the properties of the liquid medium in whichthe rotating column, lead to a small range of angular velocity value, which are generated during the self-oscillation.

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Section: Introductionmentioning

confidence: 99%

Investigation on Torsional Vibration of Drill String in Cylindrical Cavities of Vertical Bore-Hole with Liquid Medium

Musa¹,

Tjprc²

2018

IJMPERD

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“…Often, their drivage is accompanied by emergency situations and failures. Amidst them, there are -loss of the bending stability of the drill string under action of gravity forces, torque, inertia forces of rotary motion, etc [1,6,9,10,13,15,17,20]; -self-excitation of torsion autovibration of the drill bit accompanied by alternation of its fast and slow motions [2,4,7,8,11,19,22]; -generation of whirling vibration of the bit connected with instability of the whole system and transition of the bit motion from the regime of pure spinning to its rolling on the bore-hole bottom [5,18,21]; -locking up and sticking of the drill strings in the zones of the bore-holes with enlarged contact and friction forces [3,12,14,16,23]. But the drivage of curvilinear bore-holes is fraught with great technological difficulties caused by permanent balance change of the forces of gravity, resistance (friction), inertia, and elasticity acting on the drill string and its bit.…”

Section: Introductionmentioning

confidence: 99%

Computer Simulation of the Least Energy Consuming and Emergency-Free Regimes of Drilling of Hyper Deep Curvilinear Bore-Holes

2013

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The problem of computer simulation of mechanical behavior of drill strings in hyper deep vertical, inclined and horizontal bore-holes is stated with the aim of forecasting the possible initiation of emergency situations during carrying out drilling operations. The question of stability and post-critical non-linear deforming and dynamics of the drill strings are considered. It is shown that all of them are singularly perturbed from the mathematical point of view and because of this, they are poorly amenable to theoretical (computational) analysis. The algorithms allowing surmounting these difficulties are proposed.The software for study of these phenomena is elaborated.In the stages of design of an elongated curvilinear bore-hole with complicated 3D geometry and technological regimes of their drivage, the elaborated software permits one to construct its trajectory securing the smallest values of resistance forces and to choose the least energy-consuming and safe regimes of drilling. It ensures also the possibility to determine the requirements for the necessary accuracy of the bore-hole drivage and for the acceptable geometrical distortions and imperfections.In the stage of the bore-hole drivage, the created software permits to calculate forces and moments of resistance forces with allowance made for the real geometry of the bore-hole and admitted distortion of its axial line. It is possible to prognosticate possible emergency situations and design the measures for their exclusion. At the stage of the emergency situation liquidation, this software allows to simulate the mechanical behavior of the system and its responses to the methods used for elimination of the failure consequences.

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“…As this takes place, the principal technological component of these processes is the drilling of new deep oil and gas wellbores, which can be accompanied by the occurrence of some quasi-static and dynamic phenomena influencing the whole working procedure. Among these are friction between the drill bits and strings, 1,2 quasistatic buckling of drill strings in vertical deep boreholes 3 and vibrations that can include axial, torsional [4][5][6] and bending 7 periodic motions.…”

Section: Introductionmentioning

confidence: 99%

Nonholonomic dynamics of drill string bit whirling in a deep bore-hole

Gulyayev

Shevchuk

2013

Proceedings of the Institution of Mechanical Engineers, Part K:

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This article studies the problem of wirl vibrations of a rotating drill string bit under conditions of its friction interaction with the bore-hole bottom surface at the wandering contact point. The mechanism of the bit spinning and rolling without sliding on the rigid surface has been analyzed. To study the wirl vibrations, the methods of nonholonomic mechanics are used. As an example, spherical bit whirling on spherical bore-hole bottom is considered. The kinematic inducement of the rotating bit motion without sliding is shown to be the main cause of its stability loss. The detailed study of the bit whirling revealed three types of its stable and unstable motions associated with direct and inverse rolling as well as pure spinning. It is found that the most detectable influence on dynamics of the system and its stability is exerted by the overall stiffness of the drill string tube, which depends on parameters of compressive axial force and torque and diminishes as their critical values are approached.

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Quantized attractors in wave models of torsion vibrations of deep-hole drill strings

Cited by 13 publications

References 6 publications

Investigation on Torsional Vibration of Drill String in Cylindrical Cavities of Vertical Bore-Hole with Liquid Medium

Investigation on Torsional Vibration of Drill String in Cylindrical Cavities of Vertical Bore-Hole with Liquid Medium

Computer Simulation of the Least Energy Consuming and Emergency-Free Regimes of Drilling of Hyper Deep Curvilinear Bore-Holes

Nonholonomic dynamics of drill string bit whirling in a deep bore-hole

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