Modeling a finite-length sucker rod using the semi-infinite wave equation and a proof to Gibbs' conjecture

Abstract

In this paper, we study semi-infinite spatial domain wave equations modeling the real world problem of longitudinal waves propagating along a finite length long slender homogeneous elastic rod. To conclude, we provide a rigorous, yet elegant proof to Gibbs' Theorem and illustrate its validity with an existing well. Copyright 2007, Society of Petroleum Engineers.