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