Non-linear dynamics of a drill-string with uncertain model of the bit-rock interaction

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

The drill-string dynamics is difficult to predict due to the non-linearities and uncertainties involved in the problem. In this paper a stochastic computational model is proposed to model uncertainties in the bit-rock interaction model. To do so, a new strategy that uses the non-parametric probabilistic approach is developed to take into account model uncertainties in the bit-rock non-linear interaction model. The mean model considers the main forces applied to the column such as the bit-rock interaction, the fluid-structure interaction and the impact forces. The non-linear Timoshenko beam theory is used and the non-linear dynamical equations are discretized by means of the finite element method. (C) 2009 Elsevier Ltd. All rights reserved.

Mots clés: Drill-string dynamics; Uncertainties; Bit-rock probabilistic model; Non-linear stochastic dynamics; Non-parametric probabilistic approach; INNER-CYLINDER ROTATION; LAMINAR-FLOW; DRILLSTRINGS; VIBRATIONS; ELEMENT; MECHANICS; FLUID

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

T.G. Ritto, Christian Soize, R. Sampaio. Non-linear dynamics of a drill-string with uncertain model of the bit-rock interaction. International Journal of Non-Linear Mechanics, 2009, 44 (8), pp.,865-876. ⟨10.1016/j.ijnonlinmec.2009.06.003⟩. ⟨hal-00684337⟩