Stochastic modeling for hysteretic bit–rock interaction of a drill string under torsional vibrations Article Swipe

View

Related Concepts

Drill string Nonlinear system Vibration Torsional vibration Drill bit Stochastic modelling Stochastic process Bit (key) Torque Control theory (sociology) Computer science Drilling Engineering Mathematics Physics Acoustics Statistics Mechanical engineering Artificial intelligence Quantum mechanics Control (management) Thermodynamics Computer security

Fabio F. Real , Anas Batou , Thiago Ritto , Christophe Desceliers ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.1177/1077546319828245 · OA: W2916234810

This paper aims at constructing a stochastic model for the hysteretic behavior of the nonlinear bit–rock interaction of a drill string under torsional vibrations. The proposed model takes into account the fluctuations of the stick–slip oscillations observed during the drilling process. These fluctuations are modeled by introducing a stochastic process associated with the variations of the torque on bit, which is a function of the bit speed. The parameters of the stochastic model are calibrated with field data. The response of the proposed stochastic model, considering the random bit–rock interaction, is analyzed, and statistics related to the stability of the drill string are estimated.