Numerical Investigation of the Nonlinear Drill String Dynamics Under Stick–Slip Vibration

This paper presents a comprehensive analysis of the influence of rotary table velocity, weight-on-bit, and viscous damping on the drill string stick–slip vibration. The analysis allows for studying the qualitative and quantitative variation of the dynamic response of the drill pipes and drill collar...

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Main Authors: Mohammad Javad Moharrami, Hodjat Shiri, Clóvis de Arruda Martins
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Vibration
Subjects:
Online Access:https://www.mdpi.com/2571-631X/7/4/56
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author Mohammad Javad Moharrami
Hodjat Shiri
Clóvis de Arruda Martins
author_facet Mohammad Javad Moharrami
Hodjat Shiri
Clóvis de Arruda Martins
author_sort Mohammad Javad Moharrami
collection DOAJ
description This paper presents a comprehensive analysis of the influence of rotary table velocity, weight-on-bit, and viscous damping on the drill string stick–slip vibration. The analysis allows for studying the qualitative and quantitative variation of the dynamic response of the drill pipes and drill collars/bit. To achieve this goal, a robust and practical finite element (FE) model of the full-scaled drill string was developed based on a velocity-weakening formulation of the nonlinear bit–rock interaction. A detailed investigation of damping parameters was carried out. The performance of the developed model was verified through comparisons with a lumped-parameter model and a field test example. Parametric studies on the stick–slip response of the entire drill string under different field operational conditions were conducted. The dynamical time series of the system response were analyzed in terms of the phase planes, response spectra, and descriptive statistics of the drill pipes and drill collars. The findings of the study revealed that for a realistic drill string geometry, the angular velocity (i.e., mean, peak-to-peak amplitude, and standard deviation) and dominant frequency of self-excited torsional stick–slip oscillations along the drill pipes and drill collars/bit are mainly governed by the rotary table velocity. Furthermore, it was shown that the contribution of higher harmonics in the torsional stick–slip response of the drill pipes is more substantial than the drill collars/bit.
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spelling doaj-art-caf992b2e4e84b52bc9dd97aa78f7bf62025-08-20T02:39:41ZengMDPI AGVibration2571-631X2024-11-01741086111010.3390/vibration7040056Numerical Investigation of the Nonlinear Drill String Dynamics Under Stick–Slip VibrationMohammad Javad Moharrami0Hodjat Shiri1Clóvis de Arruda Martins2Civil Engineering Department, Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL A1B 3X5, CanadaCivil Engineering Department, Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL A1B 3X5, CanadaOffshore Mechanics Laboratory, Mechanical Engineering Department, Polytechnic School, University of São Paulo, São Paulo 05508-030, SP, BrazilThis paper presents a comprehensive analysis of the influence of rotary table velocity, weight-on-bit, and viscous damping on the drill string stick–slip vibration. The analysis allows for studying the qualitative and quantitative variation of the dynamic response of the drill pipes and drill collars/bit. To achieve this goal, a robust and practical finite element (FE) model of the full-scaled drill string was developed based on a velocity-weakening formulation of the nonlinear bit–rock interaction. A detailed investigation of damping parameters was carried out. The performance of the developed model was verified through comparisons with a lumped-parameter model and a field test example. Parametric studies on the stick–slip response of the entire drill string under different field operational conditions were conducted. The dynamical time series of the system response were analyzed in terms of the phase planes, response spectra, and descriptive statistics of the drill pipes and drill collars. The findings of the study revealed that for a realistic drill string geometry, the angular velocity (i.e., mean, peak-to-peak amplitude, and standard deviation) and dominant frequency of self-excited torsional stick–slip oscillations along the drill pipes and drill collars/bit are mainly governed by the rotary table velocity. Furthermore, it was shown that the contribution of higher harmonics in the torsional stick–slip response of the drill pipes is more substantial than the drill collars/bit.https://www.mdpi.com/2571-631X/7/4/56drill stringstick–slipnonlinear dynamic vibrationfinite element modelingRayleigh viscous dampingparametric analysis
spellingShingle Mohammad Javad Moharrami
Hodjat Shiri
Clóvis de Arruda Martins
Numerical Investigation of the Nonlinear Drill String Dynamics Under Stick–Slip Vibration
Vibration
drill string
stick–slip
nonlinear dynamic vibration
finite element modeling
Rayleigh viscous damping
parametric analysis
title Numerical Investigation of the Nonlinear Drill String Dynamics Under Stick–Slip Vibration
title_full Numerical Investigation of the Nonlinear Drill String Dynamics Under Stick–Slip Vibration
title_fullStr Numerical Investigation of the Nonlinear Drill String Dynamics Under Stick–Slip Vibration
title_full_unstemmed Numerical Investigation of the Nonlinear Drill String Dynamics Under Stick–Slip Vibration
title_short Numerical Investigation of the Nonlinear Drill String Dynamics Under Stick–Slip Vibration
title_sort numerical investigation of the nonlinear drill string dynamics under stick slip vibration
topic drill string
stick–slip
nonlinear dynamic vibration
finite element modeling
Rayleigh viscous damping
parametric analysis
url https://www.mdpi.com/2571-631X/7/4/56
work_keys_str_mv AT mohammadjavadmoharrami numericalinvestigationofthenonlineardrillstringdynamicsunderstickslipvibration
AT hodjatshiri numericalinvestigationofthenonlineardrillstringdynamicsunderstickslipvibration
AT clovisdearrudamartins numericalinvestigationofthenonlineardrillstringdynamicsunderstickslipvibration