Probabilistic model identification of the bit-rock-interaction-model uncertainties in nonlinear dynamics of a drill-string

T.G. Ritto (1, 2) , Christian Soize (2) , R. Sampaio (1)

1 PUC Rio - Department of Mechanical Engineering
2 MSME - Laboratoire de Modélisation et Simulation Multi Echelle

This paper deals with a procedure to perform the identification of the probabilistic model of uncertainties in a bit-rock interaction model for the nonlinear dynamics of a drill-string. The bit-rock interaction model is represented by a nonlinear constitutive equation, whose uncertainties are modeled using the nonparametric probabilistic approach. The identification of the parameter of this probabilistic model is carried out using the maximum likelihood method together with a statistical reduction in the frequency domain using the Principal Component Analysis. (C) 2010 Elsevier Ltd. All rights reserved.

Mots clés: Probabilistic identification; Maximum likelihood method; Bit-rock interaction; Stochastic dynamical system; Drill-string nonlinear dynamics; DRILLSTRINGS; VIBRATIONS; SYSTEMS

Domaines: Mécanique [physics.med-ph]; Probabilités [math.PR]; Statistiques [math.ST]

T.G. Ritto, Christian Soize, R. Sampaio. Probabilistic model identification of the bit-rock-interaction-model uncertainties in nonlinear dynamics of a drill-string. Mechanics Research Communications, 2010, 37 (6), pp.584-589. ⟨10.1016/j.mechrescom.2010.07.004⟩. ⟨hal-00684312⟩