Exact Kinematic Analysis of pumping units

TLDR: In this article, a new pumping unit Kinematic Analysis method was developed for the calculation of position, velocity, acceleration of the polished rod, and torque factors as functions of crank angle.

Abstract: A new pumping unit Kinematic Analysis method was developed for the calculation of position, velocity, acceleration of the polished rod, and torque factors as functions of crank angle. This method can also be used to calculate the angular position, velocity and acceleration of any part of the pumping unit mechanism. It is more accurate than previous methods because it produces exact results. It can be used to compare pumping units, and can analyze units with varying crank speeds. It can improve gearbox torque analysis by including inertia effects, and can allow the use of conventional dynagraphs for the prediction of downhole dynagraphs.