Mathematical model for mechanical buckling of drillstrings within curved bore-holes, A
An innovative mathematical model to describe the mechanical buckling of drillstrings within curved bore-holes was developed. The hypergeometric model congregates the curved bore-hole theory and the generalized beam-column theory, both developed and presented in this work. The curved bore-hole theory dictates the conditions a drill string must satisfy to buckle within a curved bore-hole. The generalized beam column theory describes the singular behavior of an inclined beam-column subjected to a distributed weight and axial forces applied on its ends. The differential equation of the inclined ...
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