Bit-bounce and stick-slip in drill-string dynamics

K. Nandakumar*, Marian Wiercigroch, Chris Pearson

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

A recently proposed two degrees-of-freedom model for axial and torsional vibrations of drill-string elsewhere is here revisited. Themodel involves statedependent time delay, with discontinuous cutting and friction force nonlinearities. The original model is, here, enhanced by introducing axial and torsional damping, and axial stiffness. Stability analysis, which is relatively recent for systems with state-dependent delays, is conducted on the enhanced model. For representative parameter values, it is concluded from the analysis that the original model (with no damping) had no stable operating regime, while the enhanced model possesses some practically relevant stable operating regime. The steady drilling state corresponding to the enhancedmodel is, however, still unstable for a major portion of the operating regime leading to stick-slip and bit-bounce situations.

Original languageEnglish
Title of host publicationIUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design
Subtitle of host publicationProceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010
EditorsMarian Wiercigroch, Giuseppe Rega
PublisherSpringer
Pages323-335
Number of pages13
ISBN (Electronic)9789400757424
ISBN (Print)9789400757417, 9789400794511
DOIs
Publication statusPublished - 1 Jan 2013
EventIUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, 2010 - Aberdeen, United Kingdom
Duration: 27 Jul 201030 Jul 2010

Publication series

NameIUTAM Bookseries
PublisherSpringer
Volume32
ISSN (Print)1875-3507
ISSN (Electronic)1875-3493

Conference

ConferenceIUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, 2010
CountryUnited Kingdom
CityAberdeen
Period27/07/1030/07/10

Keywords

  • Axial and torsional damping
  • Delay differential equations
  • Drill-string dynamics
  • Stick-slip

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