A stochastic analysis of the coupled lateral–torsional drill string vibration

Volpi, Lucas P.; Lobo, D.M.; Ritto, T.G.

doi:10.1007/s11071-020-06099-z

Cited by 24 publications

(3 citation statements)

References 32 publications

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“…In another sense, it aims to benefit most from the limited data. In uncertain rotor systems, the random or stochastic modeling of uncertainties is the most common practice [40,[126][127][128] and relevant theoretical frameworks are more sophisticated. Then, the accurate stochastic modeling of uncertainties is a topic of primary importance [129].…”

Section: Classificationsmentioning

confidence: 99%

A state-of-the-art review on uncertainty analysis of rotor systems

Sinou

Zhu

et al. 2023

Mechanical Systems and Signal Processing

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Section: Classificationsmentioning

confidence: 99%

A state-of-the-art review on uncertainty analysis of rotor systems

Sinou

Zhu

et al. 2023

Mechanical Systems and Signal Processing

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“…Some authors use a pure torsional model [1,2,3,4,5], while others consider coupling mechanisms. For instance, lateral-torsional [6,7,8], axial-torsional [9,10], and fully lateral-axial-torsional coupled vibrations [11,12,13,14]. One can find single torsional models, lumped parameters representation, and continuous systems discretized using the finite element method.…”

Section: Introductionmentioning

confidence: 99%

ABC for model selection and parameter estimation of drill-string bit-rock interaction models and stochastic stability

Castello¹,

Ritto²

2022

Preprint

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The bit-rock interaction considerably affects the dynamics of a drill string. One critical condition is the stick-slip oscillations, where torsional vibrations are high; the bit angular speed varies from zero to about two times (or more) the top drive nominal angular speed. In addition, uncertainties should be taken into account when calibrating (identifying) the bit-rock interaction parameters. This paper proposes a procedure to estimate the parameters of four bit-rock interaction models, one of which is new, and at the same time select the most suitable model, given the available field data. The approximate Bayesian computation (ABC) is used for this purpose. An approximate posterior probability density function is obtained for the parameters of each model, which allows uncertainty to be analyzed. Furthermore, the impact of the uncertainties of the selected models on the torsional stability map (varying the nominal top drive angular speed and the weight on bit) of the system is evaluated.

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“…Zhou et al [12] and An et al [13] explored the dynamical behaviors of axially functionally graded pipes with flowing fluid. Volpi et al [14] presented a three-degrees-of-freedom lumped parameter model and studied the lateral-torsional vibration of the drill string. Zhu et al [15] and Huo et al [16] analyzed the non-linear lateral vibrations and the beat phenomenon in the tip trajectories of a beam.…”

Section: Introductionmentioning

confidence: 99%

Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction

et al. 2021

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In this research, the non-linear dynamics of the drill string system model, considering the influence of fluid—structure coupling and the effect of support stiffness, are investigated. Using Galerkin’s method, the equation of motion is discretized into a second-order differential equation. On the basis of an improved mathematical model, numerical simulation is carried out using the Runge—Kutta integration method. The effects of parameters, such as forcing frequency, perturbation amplitude, mass ratio and flow velocity, on the dynamic characteristics of the drill string system are studied under different support stiffness coefficients, in which bifurcation diagrams, waveforms, phase diagrams and Poincaré maps of the system are provided. The results indicate that there are various dynamic model behaviors for different parameter excitations, such as periodic, quasi-periodic, chaotic motion and jump discontinuity. The system changes from chaotic motion to periodic motion through inverse period-doubling bifurcation, and the support stiffness has a significant influence on the dynamic response of the drill string system. Through in-depth study of this problem, the dynamic characteristics of the drill string can be better understood theoretically, so as to provide a necessary theoretical reference for prevention measures and a reduction in the number of drilling accidents, while facilitating the optimization of the drilling process, and provide basis for understanding the rich and complex nonlinear dynamic characteristics of the deep-hole drill string system. The study can provide further understanding of the vibration characteristics of the drill string system.

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A stochastic analysis of the coupled lateral–torsional drill string vibration

Cited by 24 publications

References 32 publications

A state-of-the-art review on uncertainty analysis of rotor systems

A state-of-the-art review on uncertainty analysis of rotor systems

ABC for model selection and parameter estimation of drill-string bit-rock interaction models and stochastic stability

Non-Linear Dynamic Analysis of Drill String System with Fluid-Structure Interaction

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