Vibro-impact model and validation of the axial dynamics of a vibration-assisted drilling tool

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(2020) 42:598

TECHNICAL PAPER

Vibro‑impact model and validation of the axial dynamics of a vibration‑assisted drilling tool R. R. Aguiar1 · E. F. V. d’Almeida1 · T. G. Ritto2 Received: 8 May 2020 / Accepted: 5 October 2020 © The Brazilian Society of Mechanical Sciences and Engineering 2020

Abstract A lumped parameter vibro-impact model is proposed to describe the axial dynamics of a vibration-assisted drilling tool prototype, developed to improve the drilling efficiency in hard-rock drilling applications. The purpose of this work is twofold: to develop a new mathematical model that represents the axial dynamics of a vibration-assisted drilling tool, and to validate the proposed mathematical model with field data. The proposed model has seven degrees-of-freedom model with four impact surfaces. High-frequency field data, measured at multiple locations, are used to validate the mathematical model. The results show an overall good match between field data and model outputs, as the vibro-impact model is capable of capturing and reproducing the main dynamic behavior of the vibration-assisted drilling tool. Furthermore, the proposed model is able to reproduce complex dynamic behavior with little computational cost, due to the low number of degrees-of-freedom. Keywords  Vibro-impact system · Lumped parameter system · Vibration-assisted drilling · Percurssive drilling · Impact

1 Introduction Percussive drilling techniques have been an important drilling mechanism since the time of cable tool rigs. The lowfrequency high-energy-level percussive action of cable tools was surpassed in drilling efficiency by the development of rotary rigs and roller cone bits in the beginning of the twentieth century [21]. However, some form of percussion drilling continues to be used today to penetrate hard formations, particularly in mining applications. The working principle of a percussive hammer is to have high-energy loads per cutter and a rotary action that would move the cutters to new unfractured formation between each successive load [21]. Technical Editor: Wallace Moreira Bessa. * R. R. Aguiar [email protected] E. F. V. d’Almeida [email protected] T. G. Ritto [email protected] 1



Brazil Technology Integration Center - Schlumberger Oilfield Services, Rio de Janeiro, Brazil



Department of Mechanical Engineering, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

2

However, not until the 1960s a low-frequency high-energy hammer was introduced into the oilfield industry. Concerning vibro-impact systems, Pavlovskaia et  al. [14] developed a physical model to examine the dynamic behavior of impact oscillators (percussive action). This model consists of a two degrees-of-freedom (DOF) system that accounts for the viscoelastic impacts to reproduce the dynamics of a bounded progressive motion through the usage of a dry frictional slider. The system response revealed a complex behavior ranging from periodic to chaotic motion [14]. Further, Pavlovskaia and Wiercigroch [13] show bifurcation diagrams, indica