A torsional-axial vibration analysis of drill string endowed with kinematic coupling and stochastic approach

Chen, Jingkai; Liao, Hualin; Zhang, Yanting; Liang, Hongjun; Liu, Chuanfu; Dong, Qi

doi:10.1016/j.petrol.2020.108157

Cited by 12 publications

(5 citation statements)

References 35 publications

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“…In the literature, different stochastic and deterministic approaches have been applied to drill strings to investigate the problem of uncertainties. The research in [39,40] presented some examples of stochastic models. The authors in [41] proposed a stochastic model for the bit-rock interaction torque.…”

Section: Robustness To Parametric Uncertaintiesmentioning

confidence: 99%

Stick–Slip Suppression in Drill String Systems Using a Novel Adaptive Sliding Mode Control Approach

Zribi,

Sidhom,

Gharib

2024

Vibration

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A novel control technique is presented in this paper, which is based on a first-order adaptive sliding mode that ensures convergence in a finite time without any prior information on the upper limits of the parametric uncertainties and/or external disturbances. Based on an exponent reaching law, this controller uses two dynamically adaptive control gains. Once the sliding mode is reached, the dynamic gains decrease in order to loosen the system’s constraints, which guarantees minimal control effort. The proof of convergence was demonstrated according to Lyapunov’s criterion. The proposed algorithm was applied to a drill string system to evaluate its performance because such systems present variable operating conditions caused by, for example, the type of rock. The effectiveness of the proposed controller was evaluated by conducting a comparative study that involved comparing it against a commonly used sliding mode controller, as well as other recent adaptive sliding mode control techniques. The different mathematical performance measures included energy consumption. The proposed algorithm had the best performance measures with the lowest energy consumption and it was able to significantly improve the functioning of the drill string system. The results indicated that the proposed controller had 20% less chattering than the classic SM controller. Finally, the proposed controller was the most robust to uncertainties in system parameters and external disturbances, thus demonstrating the auto-adjustable features of the controller.

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Section: Robustness To Parametric Uncertaintiesmentioning

confidence: 99%

Stick–Slip Suppression in Drill String Systems Using a Novel Adaptive Sliding Mode Control Approach

Zribi,

Sidhom,

Gharib

2024

Vibration

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“…In this basis, using the continuous pole assignment method, an observer-based control scheme for time-delay systems is proposed. Based on the lumped mass technique, Chen et al 17 established a model of axial-torsional coupling vibration of drill string with multiple degrees of freedom. The drill bit’s axial displacement is defined as a function of the drill bit’s rotation angle.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear analysis of axial-torsional vibration of drill string based on a 3 DOF model

Tao

Zhang

et al. 2022

Advances in Mechanical Engineering

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Based on a model with three-degree-of-freedom, the nonlinear coupled axial-torsional vibration of drill string is numerically studied considering a modified contact model of bit-rock interaction. The effects of driving angular velocities, nominal drilling pressures, and formation stiffness on response are discussed. The simulation results show that response can be periodic, quasi-periodic or chaotic motion with the variation of system parameters. Increasing driving angular velocity is helpful to reduce the duration of sticking and even make the system stick-slip free. However, bit-bounce may occur if driving angular velocity is too large. Increasing nominal drilling pressure can cause the system to be more prone to stick-slip, but it has dampening effect on bit-bounce. The larger the formation stiffness is, the smaller the amplitude of the axial vibration response of the system is, and the driving angular velocity corresponding to the maximum amplitude of the axial vibration response is also larger, whereas the variation of the amplitude of torsional vibration is smaller. Compared with the results from two-degree-of-freedom model, the amplitude of torsional vibration of the present model is remarkable greater. Meanwhile, the present model is more prone to stick-slip than the one with two-degree-of-freedom, and it is not easy to bit bounce.

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“…Currently, there are transfer matrix method [2], lumped mass method [3], generalized coordinate method [4], hypothetical mode method [5], nite element method [6,7], elastic line method [8], and other methods to analyse the vibration mechanism of drill string. For a drill string system with multiple pipe sections, Han et al calculated the total vibration transfer matrix by multiplying all individual matrices; each is obtained for an individual pipe section [2].…”

Section: Introductionmentioning

confidence: 99%

“…It is di cult to obtain accurate solutions while dealing with multi-DOF vibration systems. Chen et al concentrated the masses along the drill string and proposed a kinematic coupled approach to correlate the axial displacement of the bit to the rotation angle of the bit [3]. However, this approach only discusses torsional and longitudinal coupled vibration, and the natural frequency error increases with the increase of the order of the mode shape.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Longitudinal-Bending-Torsional Coupled Vibration Mechanism of the Drilling of a Roof Bolter for Mine Support System

Liu

et al. 2022

Mathematical Problems in Engineering

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The condition of the drilling of a roof bolter for mine support system is complex, and the existing analytical approaches for the vibration of the drilling for oil wells cannot be fully applicable to it. In order to reveal the vibration mechanism of bolt drilling, some models for longitudinal, bending, and torsional coupled vibration were established based on the energy method and finite element method. A global matrix was assembled in the order of units. Taking the drilling condition as the boundary conditions, a reduced-order model was constructed. The simulations for drilling mudstone show that the order of mode shape is positively correlated with the corresponding natural frequency, and the low-order mode shape plays a decisive role in the vibration characteristics of a drill string. The order of causing drill string displacement from large to small is as follows: longitudinal vibration, torsional vibration, and bending vibration. Compared with the bit, the displacements of longitudinal and torsional vibration of the tail of the drill string are decreased by 93.2% and 84.7%, respectively. The perturbed force and reaction torque are the main reasons for inducing the coupled vibration of it. This research provides a theoretical basis for analysing the vibration characteristics of the drilling of roof bolters for mine support systems and developing their absorbers.

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A torsional-axial vibration analysis of drill string endowed with kinematic coupling and stochastic approach

Cited by 12 publications

References 35 publications

Stick–Slip Suppression in Drill String Systems Using a Novel Adaptive Sliding Mode Control Approach

Stick–Slip Suppression in Drill String Systems Using a Novel Adaptive Sliding Mode Control Approach

Nonlinear analysis of axial-torsional vibration of drill string based on a 3 DOF model

Analysis of the Longitudinal-Bending-Torsional Coupled Vibration Mechanism of the Drilling of a Roof Bolter for Mine Support System

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