Drill-string dynamics with uncertainty in the bit-rock nonlinear interaction model

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

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

The stochastic dynamics of a drill-string is analyzed, where the uncertainty is in the bit-rock nonlinear interaction model. The Maximum Entropy Principle is used to construct a probabilistic model for the nonlinear operator related to the bit-rock interaction model. A numerical model is developed using the Timoshenko beam theory and it is discretized by means of the Finite Element Method. The nonlinear dynamics analyzed considers the main efforts that the column is subjected to as, for instance, imposed rotation at the top, fluid-structure interaction, impact between the column and the borehole, and finite strains (what couples axial, torsional and lateral vibrations).

Mots clés: random matrix; modeling uncertainties; random uncertainties; uncertainty quantification; drill-string dynamics; bit-rock nonlinear interaction; nonparametric probabilistic method; modeling errors

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

T.G. Ritto, Christian Soize, R. Sampaio. Drill-string dynamics with uncertainty in the bit-rock nonlinear interaction model. 2nd International Conference on Uncertainty in Structural Dynamics, The University of Sheffield, Jun 2009, Sheffield, United Kingdom. pp.1-10. ⟨hal-00691742⟩