Abstract
The problem is posed of determining the resistance forces and internal forces in the drill string during drilling and when performing tripping operations in a curved well. The object of the study is the geometry of the centerline of deep inclined well trajectories. The aim of the work is to formulate and solve new problems of structural mechanics about nonlinear deformation of drill strings in directional wells. To study the mechanics of elastic bending of drill strings in directional wells, the methods of structural mechanics of flexible curved rods were used; methods of differential geometry and theory of surfaces; numerical Runge-Kutta method. The study of the influence of geometric imperfections of the borehole centerline on the forces of contact interaction between the drill string and the borehole wall has been carried out. The case is considered when geometric imperfections have the form of a localized spiral of variable radius. KEY WORDS: OIL AND GAS WELLS, CURVED TRAJECTORY, DRILLING COLUMN, RESISTANCE FORCES.
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