一种新的有杆抽油泵功图诊断模型及计算方法  

A New Model and Calculating Method for Pump Dynamograph Diagnosis of Sucker Rod Pumping Systems

作　　者：孙仁远[1] 张云飞 范坤坤 王剑[2] 刘卓[1] 陆雪皎[1] 

机构地区：[1]中国石油大学(华东)石油工程学院,山东青岛266580 [2]中石化河南油田工程院,河南南阳473132

出　　处：《应用数学和力学》2014年第4期423-431,共9页Applied Mathematics and Mechanics

基　　金：长江学者和创新团队发展计划(IRT1294);国家科技重大专项(2011ZX05031-002-007HZ)~~

摘　　要：通过对多级杆柱上的微元体进行动力学分析,对现有的Gibbs模型进行了改进,建立了一个新的有杆抽油泵功图诊断数学模型.采用隐式差分格式和变步长有限差分格式对模型进行求解,得到了接箍上、下分界面处和抽油杆均质段任意位置处的位移及载荷表达式,推导了等效阻尼系数的计算公式,建立了相应的迭代算法来计算井下泵功图.以某油井地面示功图为例,利用该模型进行了实例计算,与Gibbs方法对比结果表明,该模型及算法得到的泵功图更接近实际.The existing Gibbs model was improved through analysis of the dynamic characteris- tics of the micro units out of hybrid sucker rods. A new pump dynamograph diagnosis mathe- matical model was established for sucker rod pumping systems. The model was solved with the methods of implicit difference scheme and variable step size finite difference scheme. The dis- placement and load expressions at the interface of the box coupling and at any position of the u- niform sucker rod segments were obtained. The formula of equivalent damping coefficient was derived and calculated through the corresponding iterative algorithm. With a well surface dyna- mometer card as an example, the pump dynamograph was calculated by means of the new model, and the results were compared with those from the Gibbs method. The comparison indi- cates that the new model and algorithm is stable and reliable, and the resulting pump dynamo- graph fits the actual situation better than that from the Gibbs model.

关 键 词：数学模型 泵功图 等效阻尼系数 迭代算法 

分 类 号：TE358[石油与天然气工程—油气田开发工程] O302[理学—力学]