Effect of changes in the crank radius on the kinematics of the pumping unit when regulating the dynamic level of the fluid in the well

The article deals with the effect of changes in the crank radius on the kinematics of the pumping unit when regulating the dynamic level of the fluid between the tubing strings and the casing in order to increase the well production rate or reduce the accident rate. To improve the quality of prediction, the movement of a polished rod over time is calculated using the Fourier variable separation method: the product of the rocker head of a pumping unit determined as movement of a slider crank mechanism along the straight line (as a circle chord), and the difference of this chord with a length of the circumference equivalent to the movement of the swivel joint of the balancer with a connecting rod. As a result, the accuracy of calculations is increased and the solution of the problem is simplified. (paper)