Mathematical modeling of horizontal drillstrings subjected to friction and shocks effects

Abstract : During the process of oil prospection, an equipment called drillstring is used to drill the soil. This device presents a three-dimensional nonlinear dynamics subjected to e ects of friction and shock. This work aims to analyze the nonlinear dynamics of a drillstring in horizontal con guration. For this purpose, the drillstring is modeled as a beam theory with rotatory inertia and shear deformation of the the cross section, undergoing large displacements. This model also takes into account the e ects of friction and shock, induced by the lateral impacts between the drillstring and the borehole wall. The model equations are discretized using the Galerkin/ nite element method, and the resulting initial value problem is integrated using the Newmark method. Numerical simulations are conducted to investigate the e ects of the lateral shock in nonlinear dynamic of the column.
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A. Cunha Jr, Christian Soize, R. Sampaio. Mathematical modeling of horizontal drillstrings subjected to friction and shocks effects. XXXV Congresso de Matematica Aplicada e Computacional, CNMAC 2014, Sep 2014, Natal, RN, Brazil. pp.1-7. ⟨hal-01066528⟩

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