https://hal.archives-ouvertes.fr/hal-01194190Cunha Jr, AmericoAmericoCunha JrUERJ - Universidade do Estado do Rio de Janeiro [Rio de Janeiro]MSME - Laboratoire de Modélisation et Simulation Multi Echelle - UPEM - Université Paris-Est Marne-la-Vallée - UPEC UP12 - Université Paris-Est Créteil Val-de-Marne - Paris 12 - CNRS - Centre National de la Recherche ScientifiqueDepartamento de Eng. Mecânica - PUC RioSoize, ChristianChristianSoizeMSME - Laboratoire de Modélisation et Simulation Multi Echelle - UPEM - Université Paris-Est Marne-la-Vallée - UPEC UP12 - Université Paris-Est Créteil Val-de-Marne - Paris 12 - CNRS - Centre National de la Recherche ScientifiqueSampaio, RubensRubensSampaioDepartamento de Eng. Mecânica - PUC RioComputational modeling of the nonlinear stochastic dynamics of horizontal drillstringsHAL CCSD2015nonlinear dynamicshorizontal drill-stringuncertainty quantificationparametric probabilistic approachrobust optimization[SPI.MECA] Engineering Sciences [physics]/Mechanics [physics.med-ph][MATH.MATH-PR] Mathematics [math]/Probability [math.PR][MATH.MATH-ST] Mathematics [math]/Statistics [math.ST]Soize, Christian2015-09-05 01:19:392022-09-29 14:21:152015-09-07 13:23:28enJournal articleshttps://hal.archives-ouvertes.fr/hal-01194190/document10.1007/s00466-015-1206-6application/pdf1This work intends to analyze the nonlinear stochastic dynamics of drillstrings in horizontal configuration. For this purpose, it considers a beam theory, with effects of rotatory inertia and shear deformation, which is capable of reproducing the large displacements that the beam undergoes. The friction and shock effects, due to beam/borehole wall transversal impacts, as well as the force and torque induced by bit-rock interaction, are also considered in the model. Uncertainties of bit-rock interaction model are taken into account using a parametric probabilistic approach. Numerical simulations have shown that the mechanical system of interest has a very rich nonlinear stochastic dynamics, which generate phenomena such as bit-bounce, stick-slip, and transverse impacts. A study aiming to maximize the drilling process efficiency, varying drillstring velocities of translation and rotation is presented. Also, the work presents the definition and solution of two optimizations problems, one deterministic and one robust, where the objective is to maximize drillstring rate of penetration into the soil respecting its structural limits.