The casing string in the curvilinear borehole is represented as a long elastic rod, for which a non-uniform system of differential equations is constructed and integrated taking into account its own weight and friction. Formulas for the distribution of axial forces and bending moments in the body of the column, as well as the reactions of the walls leading the column to the actual well profile are obtained. To calculate these force factors, a method for numerical integration of inclinometric measurements data and software for numerical analysis of a real well are developed. This technique allows to detect the areas of local increase of the curvature and difficult passage of the curvilinear well and calculate the parameters of the stress-strain state of the casing column in it.
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