有杆抽油系统的数学建模及诊断  

Mathematical Modeling and Diagnosis of Rod Pumping System

作　　者：石金喜[1] 窦霁虹[1] 刘作志[1] 王伟[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《延安大学学报（自然科学版）》2013年第2期33-37,共5页Journal of Yan'an University：Natural Science Edition

基　　金：陕西省教育厅自然科学专项基金(11JK0511)

摘　　要：基于第九届"华为杯"全国研究生数学建模竞赛C题,本文建立了有杆抽油系统的模型。首先,利用四连杆机构原理推导出有杆抽油机悬点的位移、速度及加速度的运动规律;其次,对具有初值及边界条件的Gibbs模型求解,利用其解得到两口油井的泵功图;最后,建立检验泵内有无气体的充满系数模型,进而分析了实际泵内的充气情况。The establishment of the model were based on problem C in the 9th ＂huawei cup＂ National Post - Gradu- ate Mathematic Contest in modeling. Firstly ,laws of motion, included displacement,velocity and aceeleration＇s curve of the suspension center in Sucker rod pumping unit, were deduced by using the principle of four bar linkage ;Sec- ondly, the pump diagrams of two oil wells were calculated by usi conditions. Finally, the degree in the actual pump was analysed whether there was gas in the pump. Gibbs modeling with initial value and boundary setting up gas filled coefficient model what tests

关 键 词：抽油机 示功图 Gibbs波动模型 有效冲程 

分 类 号：O29[理学—应用数学]