ROCK DESTRUCTION EFFECT ON THE STABILITY OF A DRILLING STRUCTURE

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Probabilistic model identification of the bit–rock-interaction-model uncertainties in nonlinear dynamics of a drill-string (2010, methodology): “There are different models in the literature for the bit-rock interaction, for example, autonomous models (Challamel (2000); Navarro-Lopez (2009); Tucker and Wang (2003)) or the distributed delay model (Germay et al. (2009)).”
Unveiling complexity of drill–string vibrations: Experiments and modelling (2015, unknown): “More advanced formulations decompose the Torque On Bit (TOB) and WOB into cutting and frictional force components, which are functions of the Depth Of Cut (DOC) and a velocity independent friction [23,24], contrary the studies, where velocity-weakening effects are taken into account [25–27].”
Multiple mode analysis of the self-excited vibrations of rotary drilling systems (2009, background): “Such apparent weakening of the resisting torque with the angular velocity during a stick-slip cycle has been observed in field and laboratory experiments [32, 33] and is usually interpreted as an intrinsic property of the bit-rock interface [4, 5, 6, 7].”