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

Fingerprint

Drill strings
Stick-slip
Damping
Degrees of freedom (mechanics)
Time delay
Drilling
Stiffness
Friction

Keywords

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

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Nandakumar, K., Wiercigroch, M., & Pearson, C. (2013). Bit-bounce and stick-slip in drill-string dynamics. In M. Wiercigroch, & G. Rega (Eds.), IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010 (pp. 323-335). (IUTAM Bookseries; Vol. 32). Springer . https://doi.org/10.1007/978-94-007-5742-4_25

Bit-bounce and stick-slip in drill-string dynamics. / Nandakumar, K.; Wiercigroch, Marian; Pearson, Chris.

IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010. ed. / Marian Wiercigroch; Giuseppe Rega. Springer , 2013. p. 323-335 (IUTAM Bookseries; Vol. 32).

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

Nandakumar, K, Wiercigroch, M & Pearson, C 2013, Bit-bounce and stick-slip in drill-string dynamics. in M Wiercigroch & G Rega (eds), IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010. IUTAM Bookseries, vol. 32, Springer , pp. 323-335, IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, 2010, Aberdeen, United Kingdom, 27/07/10. https://doi.org/10.1007/978-94-007-5742-4_25
Nandakumar K, Wiercigroch M, Pearson C. Bit-bounce and stick-slip in drill-string dynamics. In Wiercigroch M, Rega G, editors, IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010. Springer . 2013. p. 323-335. (IUTAM Bookseries). https://doi.org/10.1007/978-94-007-5742-4_25
Nandakumar, K. ; Wiercigroch, Marian ; Pearson, Chris. / Bit-bounce and stick-slip in drill-string dynamics. IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design: Proceedings of the IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design, held Aberdeen, UK, 27-30 July 2010. editor / Marian Wiercigroch ; Giuseppe Rega. Springer , 2013. pp. 323-335 (IUTAM Bookseries).
@inproceedings{a94b54250c8a42ac9e5543033adcefa0,
title = "Bit-bounce and stick-slip in drill-string dynamics",
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.",
keywords = "Axial and torsional damping, Delay differential equations, Drill-string dynamics, Stick-slip",
author = "K. Nandakumar and Marian Wiercigroch and Chris Pearson",
note = "We thank the BG Group for financial assistance to carry out a research project on the modeling of drill-string dynamics of which this work forms a part. KN thanks Pankaj Wahi for technical discussions that gave initial directions to this work.",
year = "2013",
month = "1",
day = "1",
doi = "10.1007/978-94-007-5742-4_25",
language = "English",
isbn = "9789400757417",
series = "IUTAM Bookseries",
publisher = "Springer",
pages = "323--335",
editor = "Marian Wiercigroch and Giuseppe Rega",
booktitle = "IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design",

}

TY - GEN

T1 - Bit-bounce and stick-slip in drill-string dynamics

AU - Nandakumar, K.

AU - Wiercigroch, Marian

AU - Pearson, Chris

N1 - We thank the BG Group for financial assistance to carry out a research project on the modeling of drill-string dynamics of which this work forms a part. KN thanks Pankaj Wahi for technical discussions that gave initial directions to this work.

PY - 2013/1/1

Y1 - 2013/1/1

N2 - 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.

AB - 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.

KW - Axial and torsional damping

KW - Delay differential equations

KW - Drill-string dynamics

KW - Stick-slip

UR - http://www.scopus.com/inward/record.url?scp=85032670430&partnerID=8YFLogxK

U2 - 10.1007/978-94-007-5742-4_25

DO - 10.1007/978-94-007-5742-4_25

M3 - Conference contribution

AN - SCOPUS:85032670430

SN - 9789400757417

SN - 9789400794511

T3 - IUTAM Bookseries

SP - 323

EP - 335

BT - IUTAM Symposium on Nonlinear Dynamics for Advanced Technologies and Engineering Design

A2 - Wiercigroch, Marian

A2 - Rega, Giuseppe

PB - Springer

ER -