Comparative Analysis of Lateral Vibration in Drill String Components: Euler-Bernoulli Modeling of Tool Joints and Pipes

Drill strings, with their complex dynamics, are a crucial component in drilling systems. Their importance stems from their role in transmitting motion and force from the surface to the drill bit through drill pipes connected by tool joints. This paper focuses on analyzing the lateral displacement of tool joints and the dynamic behavior of the rolling drill pipe under axial loads. The study, based on the Euler-Bernoulli differential equation and wave propagation in a periodic structure to describe the dynamics of rolling drill joints and rolling drill pipe, takes into account various factors, including full joint pipe equations, gravity, and curvature factors. Simulation and results emphasize how it differs from the dynamic rolling cylinder, which stands in for drill joints and rolling drill pipe: joints are rolling under axial load in contact with borehole walls, which makes them subjected to restoring lateral force in addition to the axial load (axial tension/axial compression) and the gravity effect. In contrast, the rolling drill pipe does not make contact with the borehole during its motion. This makes it subject to pure axial load with a gravity factor, and the lateral force is present as a boundary effect only in the pipe end where it contacts the tool joints.