Analysis of stick-slip oscillations of drill-string via cosserat rod model

Marcos Silveira*, Charles Wang, Marian Wiercigroch

*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

An integrated model for the study of the complex dynamical and geometrical behaviour of a drill-string is developed based on the modified Cosserat rod element method. The model includes general deformation of the rod with flexure, extension, torsion and shear, and allows analysis of the main vibration modes, torsional, axial and lateral, and also their couplings. Shape functions are obtained from the solution of nonlinear partial differential equations of motion in quasistatic sense, containing up to third order nonlinear terms, and the final ordinary differential equations of motion for the elements are derived from Lagrange's approach. Boundary conditions are taken as applied to a drill-string to account for the motor and the drill-bit. The model offers significant performance advantage over a standard Finite Element approach, which facilitates numerical analysis. Such model is capable of simulating stick-slip oscillations in the drill-bit-rock interface and contact of the drill-string with borehole wall along its length.

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
Pages337-345
Number of pages9
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

  • Cosserat rod model
  • Drill-string
  • Stick-slip oscillations

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    Silveira, M., Wang, C., & Wiercigroch, M. (2013). Analysis of stick-slip oscillations of drill-string via cosserat rod model. 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. 337-345). (IUTAM Bookseries; Vol. 32). Springer . https://doi.org/10.1007/978-94-007-5742-4_26