Contents I. Introduction
The design of the pumping system, parameter optimization and the nodes energy consumption optimization are based on the dynamic parameters simulation, prediction and optimization of the beam pumping system [1]–[2]. Large studies have been done for the dynamic parameters simulation of the rod pumping system by scholars at home and abroad. The dynamic parameters prediction model of the rod pumping system is proposed firstly by S.G. Gbbs [3]–[4], and the one-dimensional damped wave equation for the longitudinal vibration of the sucker rod string is established. Subsequently, the dynamic parameters prediction simulation technology of rod pumping system is developed and improved [3]–[4]. The coupling vibration simulation model of the rod, tube and liquid for the rod pumping system is established [5]–[14]. However, with the development and improvement of dynamic simulation models of the rod pumping system, the further research on the dynamic coupling mathematical simulation model of the ground equipment system and underground rod tube liquid system is needed. When the motor speed fluctuation is not considered, the dynamics mathematical model of the rod pumping system is only composed of the partial differential equations describing the rod tube liquid coupling vibration. On the basis of the mathematical model, the numerical simulation model is established with the difference method at present [7]–[14]. Taking account of the motor rotating speed fluctuations, the dynamics mathematical model of the rod pumping system is composed of two differential equations, one the differential equation is used to describe the crank movement and the other is used to describe rod tube liquid coupling vibration [1], [10]–[11]. For the dynamic coupling mathematical model, the numerical integration method is applied to establishing the numerical simulation model of the crank motion, and the difference method is used for establishing the numerical simulation model of the rod tube liquid coupling vibration at present [1], [10]–[11]. Because of non-unified numerical simulation model between the surface installations and underground system, the comprehensive simulation algorithm is unable to be built. Therefore, the iterative approach is used to solve the mathematical between the ground part and the underground part. Although the result of the system simulation model can be gat, the solving speed is very slow, especially in the combinatorial optimization of a large number of parameters. Therefore, it is very important to do an in-depth study of the system dynamic simulation model of beam pumping unit and the comprehensive simulation algorithm, and develop a fast walking beam pumping oil system prediction software for properly understanding of rod pumping system's characteristics, optimizing the system's configuration, improving beam-pumping system's efficiency and reducing the energy consumption of the system. In order to achieve the simulation prediction of the system dynamic parameters, the comprehensive integration method is used in the numerical simulation model. Good agreement is found between the experimentally obtained results and the simulations, and the forecast accuracy and speed of the software are both improved.
