摘要
现有的求解有杆抽油系统预测模型的方法都存在一定的局限性 ,为此 ,把抽油泵处的边界条件处理成一维方程 ,与求解波动方程第一类初边值问题的隐式差分方程组合并 ,提出了求解预测模型的隐式差分法。隐式差分法是无条件稳定的 ,它可以根据精度要求合理地选择步长 ,从而显著节省计算时间。实例计算表明 ,隐式差分法与显示差分法计算结果非常接近 ,其中隐式差分法能计算出抽油杆在任一瞬时与任一截面的位移和载荷 ,适合于各种工况下的抽油井预测。
The present algorithms for the wave equation of rod pumping system have shortcomings. Therefore by combining the lower boundary condition of the wave equation with the implicit differential equation for the first initial-boundary-value problem, the implicit differential method for the wave equation is put forward. The method is unconditionally stable, and it can select rationally step length according to accuracy requirements, thereby the time for calculation can be reduced remarkably.
出处
《石油机械》
北大核心
2002年第2期40-42,0,共3页
China Petroleum Machinery
