Mathematical modeling of horizontal drillstrings subjected to friction and shocks effects

Resumen

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 effects of fric- tion and shock. This work aims to analyze the nonlinear dynamics of a drillstring in horizontal configuration. 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 effects of friction and shock, induced by the lateral impacts between the drillstring and the borehole wall. The model equations are discretized using the Galerkin/finite element method, and the resulting initial value problem is integrated using the Newmark method. Numerical simulations are conducted to investigate the effects of the lateral shock in nonlinear dynamic of the column.