Dynamics of rotary drilling with non-uniformly distributed blades

Yao Yan (Corresponding Author), Marian Wiercigroch

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper investigates the linear stability and nonlinear dynamics of drilling with non-uniformly distributed blades in the drill-bit. The analysis is based on a lumped parameter model considering both axial and torsional drill-string deformation, with both regenerative cutting and frictional effects in bit-rock interaction considered as sources of drilling instability. Given the flexibility of angles’ selection introduced by the non-uniform blade distribution, eigenvalue analysis reveals that letting one angle occupy the majority of the angles summation and introducing an extra blade can enlarge the stable region for stationary drilling. Then perturbation analysis finds both subcritical and supercritical types of instability on the stability boundaries, where the subcritical Hopf bifurcation introduces large-amplitude oscillations to deteriorate the global drilling stability in the regions close to the up-left and up-right areas of the stable regions. Moreover, numerical bifurcation analysis of drilling with 3 non-uniformly distributed blades discovers various complex nonlinear dynamics including bit-bounce, stick-slip motion, loss of contact.
Original languageEnglish
Pages (from-to)270-281
Number of pages12
JournalInternational Journal of Mechanical Sciences
Volume160
Early online date11 May 2019
DOIs
Publication statusE-pub ahead of print - 11 May 2019

Fingerprint

blades
drilling
Drilling
drill bits
Drill strings
Stick-slip
Hopf bifurcation
flexibility
slip
eigenvalues
strings
Rocks
rocks
perturbation
oscillations
interactions

Keywords

  • drill-string vibration
  • non-uniform distribution of blades
  • state-dependent delay
  • bit-bounce
  • stick-slip
  • Stick-slip
  • Drill-string vibration
  • State-dependent delay
  • Bit-bounce
  • Non-uniform distribution of blades

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Materials Science(all)
  • Civil and Structural Engineering

Cite this

Dynamics of rotary drilling with non-uniformly distributed blades. / Yan, Yao (Corresponding Author); Wiercigroch, Marian.

In: International Journal of Mechanical Sciences, Vol. 160, 01.09.2019, p. 270-281.

Research output: Contribution to journalArticle

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abstract = "This paper investigates the linear stability and nonlinear dynamics of drilling with non-uniformly distributed blades in the drill-bit. The analysis is based on a lumped parameter model considering both axial and torsional drill-string deformation, with both regenerative cutting and frictional effects in bit-rock interaction considered as sources of drilling instability. Given the flexibility of angles’ selection introduced by the non-uniform blade distribution, eigenvalue analysis reveals that letting one angle occupy the majority of the angles summation and introducing an extra blade can enlarge the stable region for stationary drilling. Then perturbation analysis finds both subcritical and supercritical types of instability on the stability boundaries, where the subcritical Hopf bifurcation introduces large-amplitude oscillations to deteriorate the global drilling stability in the regions close to the up-left and up-right areas of the stable regions. Moreover, numerical bifurcation analysis of drilling with 3 non-uniformly distributed blades discovers various complex nonlinear dynamics including bit-bounce, stick-slip motion, loss of contact.",
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note = "This research is supported by National Natural Science Foundation of China (Grants No. 11872147, 11502048, 11772229, and 11572224), Sichuan Science and Technology Program (Grant No. 2018HH0101) and the Fundamental Research Funds for the Central Universities (Grant No. ZYGX2018J078).",
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