Abstract:
This paper presents a simple and efficient approach for
predicting the dynamic behavior of the sucker rod string. The
dynamic behavior of the sucker rod string is an important
factor for predicting the performance of a pumping system.
Prediction of sucker-rod system behavior involves the solution
of a boundary value problem. Such a problem includes a
differential equation and a set of boundary conditions. For the
sucker-rod problem, the wave equation is used, together with
boundary conditions which describe the initial stress and
velocity of the sucker rods, the motion of the polished rod and
the operation of the downhole pump. Of these items, the wave
equation, the polished rod motion condition and the down-hole
pump conditions are of primary importance. Discussion of the
mathematical model centers about these factors. In this study,
the model consists of two analysis that are used to calculate
the displacement and loads of the operation conditions of the
sucker-rod pump. Practical usefulness of the proposed
approach is shown by simple examples and tests. This study
shows that the proposed approach is very efficient for predicting the performance of a sucker rod pumping system.
