求解有杆泵抽油井一维诊断模型的两种方法

Research of One-Dimensional Diagnostic Model for Sucker-Rod pumpinp Wells

文章探讨了有杆泵抽油机井的一堆故障诊断模型,归纳了求解一堆诊断模型的两类方法。当用付氏级数法求解时,运用采样定理验证了■(付氏级数的项数)与N(示功图采样点数)之间的关系,确定了参数的选择原则。在运用有限差分法求解诊断模型时,提出了按X方向推进的差分原则,从而克服了按时间t逐层推进时遇到的困难。

This paper discusses the one-dimensional diagnostic model for socker-rod pumpingwells and presents two kinds of methods for solving one-dimensional diagnostic models.When they are solved with Fourir series, sampling theorem was used to verify the relationship between (the number of terms of Fourier series)and N(the number of sampling points on the dynamograph) and the parameter selecting principles are thus determined. When finite difference method is used to solve a diagnostic model, difference principle of computing in x direction is presented, and thus overcoming the difficulties in computing section by section of pipes according to time t.