Probabilistic model for the bit-rock interaction model of a drill-string system

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

In this paper a probabilistic model is proposed for the bit-rock interaction model of a drill-string system. A new strategy to take into account uncertainties in a local constitutive nonlinear equation using the nonparametric probabilistic approach is developed. The deterministic model considers the main forces that are applied to the column such as bit-rock interaction, fluid-structure interaction and impact forces. The nonlinear Timoshenko beam theory is applied and the system is discretized by means of the Finite Element Method.

Mots clés: uncertainty quantification; nonlinear dynamics; random vibration; modeling errors; random uncertainties; bit-rock interaction; drill-string system

Domaines: Mécanique [physics.med-ph]; Probabilités [math.PR]; Vibrations [physics.class-ph]

T.G. Ritto, Christian Soize, R. Sampaio. Probabilistic model for the bit-rock interaction model of a drill-string system. COBEM 2009, 20th International Congress of Mechanical Engineering, ABCM, Nov 2009, Gramado-RS, Brazil. pp.1-10. ⟨hal-00692828⟩