A mathematical model to evaluate the stresses and strains of oil strings in a transient state

This study presents the development of a mathematical model to assess the performance of oil strings during the drilling process of a reservoir, considering the dynamic conditions and operational characteristics of the equipment during its functions, and taking into account the mechanical properties of API K55 steel. The research resulted in a set of equations that model the behavior of stresses and deformations experienced by the oil tools when transmitting torque, facilitating the opening of the reservoir. A finite element analysis was conducted to evaluate the structural behavior of the strings and to estimate the time required to reach permanent deformations, as well as the time before failure occurs.