Dynamics of a distributed drill string system: Characteristic parameters and stability maps

U.J.F. Aarsnes, N. van de Wouw

Research output: Contribution to journalArticleAcademicpeer-review

19 Citations (Scopus)
6 Downloads (Pure)

Abstract

This paper involves the dynamic (stability) analysis of distributed drill-string systems. A minimal set of parameters characterizing the linearized, axial-torsional dynamics of a distributed drill string coupled through the bit-rock interaction is derived. This is found to correspond to five parameters for a simple drill string and eight parameters for a two-sectioned drill-string (e.g., corresponding to the pipe and collar sections of a drilling system). These dynamic characterizations are used to plot the inverse gain margin of the system, parametrized in the non-dimensional parameters, effectively creating a stability map covering the full range of realistic physical parameters. This analysis reveals a complex spectrum of dynamics not evident in stability analysis with lumped models, thus indicating the importance of analysis using distributed models. Moreover, it reveals trends concerning stability properties depending on key system parameters useful in the context of system and control design aiming at the mitigation of vibrations.

Original languageEnglish
Pages (from-to)376-412
Number of pages37
JournalJournal of Sound and Vibration
Volume417
DOIs
Publication statusPublished - 17 Mar 2018

Keywords

  • Delay equations
  • Distributed systems
  • Drill-string vibrations
  • Infinite dimensional systems
  • Stability
  • Stick-slip

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