Quasistatic bifurcation states of super-deep vertical drill strings

Gulyaev, V. I.; Gaidaichuk, V. V.; Solov’ev, I. L.; Gorbunovich, I. V.

doi:10.1007/s10913-010-0068-8

Cited by 13 publications

(6 citation statements)

References 6 publications

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“…Taking into account rotation of the drill string, let us introduce a local coordinate system Ox y z ′ ′ ′ rotating along with the drill string [14,15]. The z′ -axis coincides with the direction of the axis of the rod.…”

Section: Derivation Of the Nonlinear Modelmentioning

confidence: 99%

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Modeling of Nonlinear Dynamics of Drill Strings in a Supersonic Air Flow

Khajiyeva¹,

Kudaibergenov²

2015

Proceedings of the 5th International Symposium on Knowledge Acquisition and Modeling

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In this work we study nonlinear lateral vibrations of a drill string moving in a supersonic air flow. A nonlinear mathematical model of drill string vibrations is created on the basis of the nonlinear theory of elasticity making use of the Hamilton principle. Solution to the model is obtained by the Bubnov-Galerkin method in the first, second and third approximations. After reducing to a system of ordinary differential equations the numerical stiffness switching method is applied since the problem appears to be stiff. Comparative analysis of the nonlinear model and its geometrically linear analogue is carried out, and the significance of application of the governing equations taking into account geometric nonlinearity is shown. Drill strings with various parameters of length, operating frequency, axial force, and air flow pressure are investigated.

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Section: Derivation Of the Nonlinear Modelmentioning

confidence: 99%

“…Substituting (17) in (15) at 3 n = and utilizing the Bubnov-Galerkin technique, we obtain a system of three second-order ordinary differential equations:…”

Section: Model Calculationmentioning

confidence: 99%

Modeling of Nonlinear Dynamics of Drill Strings in a Supersonic Air Flow

Khajiyeva¹,

Kudaibergenov²

2015

Proceedings of the 5th International Symposium on Knowledge Acquisition and Modeling

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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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“…Compared to the other types of drilling equipment, the rotary drill has many advantages, such as higher drilling efficiency, lower cost and better security, etc [1][2]. Crawler frame is one of the important support parts for rotary drill bits, which bear the whole weight and external loads in the form of concentrated load delivered to the crawler frame, then the loads through rollers, track shoes will be delivered to the ground in the form of uniform loading, so the crawler frame of the rotary drill bits should have sufficient strength to meet the stability of the whole machine [3][4][5]. With the extensive application of rotary drill bit, the use of advanced design methods for analysis and design of the track frame has become increasingly important.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis of Crawler Frame of the Rotary Drill Bits

Sun

Yang

2011

MSF

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Commercial finite element modeling software ANSYS was used to calculate the stress and deformation distributions of crawler frame of the Rotary drill bits under turning work condition. By using finite element method, the weak points of the crawler frame can be found and the strength of the model can be calculated quickly and correctly. The results show that the crawler frame has enough strength to support the machine to finish the turning process and the maximum displacement distributed in the middle of the crawler frame. This paper will supply references for the structural optimize design of crawler frame of the rotary drill bits.

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Quasistatic bifurcation states of super-deep vertical drill strings

Cited by 13 publications

References 6 publications

Modeling of Nonlinear Dynamics of Drill Strings in a Supersonic Air Flow

Modeling of Nonlinear Dynamics of Drill Strings in a Supersonic Air Flow

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

Finite Element Analysis of Crawler Frame of the Rotary Drill Bits

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