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一种新的有杆抽油泵功图诊断模型及计算方法

孙仁远 张云飞 范坤坤 王剑 刘卓 陆雪皎

孙仁远, 张云飞, 范坤坤, 王剑, 刘卓, 陆雪皎. 一种新的有杆抽油泵功图诊断模型及计算方法[J]. 应用数学和力学, 2014, 35(4): 423-431. doi: 10.3879/j.issn.1000-0887.2014.04.008
引用本文: 孙仁远, 张云飞, 范坤坤, 王剑, 刘卓, 陆雪皎. 一种新的有杆抽油泵功图诊断模型及计算方法[J]. 应用数学和力学, 2014, 35(4): 423-431. doi: 10.3879/j.issn.1000-0887.2014.04.008
SUN Ren-yuan, ZHANG Yun-fei, FAN Kun-kun, WANG Jian, LIU Zhuo, LU Xue-jiao. A New Model and Calculating Method for Pump Dynamograph Diagnosis of Sucker Rod Pumping Systems[J]. Applied Mathematics and Mechanics, 2014, 35(4): 423-431. doi: 10.3879/j.issn.1000-0887.2014.04.008
Citation: SUN Ren-yuan, ZHANG Yun-fei, FAN Kun-kun, WANG Jian, LIU Zhuo, LU Xue-jiao. A New Model and Calculating Method for Pump Dynamograph Diagnosis of Sucker Rod Pumping Systems[J]. Applied Mathematics and Mechanics, 2014, 35(4): 423-431. doi: 10.3879/j.issn.1000-0887.2014.04.008

一种新的有杆抽油泵功图诊断模型及计算方法

doi: 10.3879/j.issn.1000-0887.2014.04.008
基金项目: 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)
详细信息
    作者简介:

    孙仁远 (1968—),男,山东招远人,教授,博士(通讯作者. Tel: +86-532-86981166;E-mail: sunrenyuan@126.com)

  • 中图分类号: TE358;O302

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

Funds: The National Science and Technology Major Project of China(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.
  • [1] 张琪. 采油工程原理与设计[M]. 山东:中国石油大学出版社, 2006:157-163.(ZHANG Qi.Principles of Petroleum Production Engineering and Design [M]. Shandong: China University of Petroleum Press, 2006: 157-163.(in Chinese))
    [2] 刘磊明, 张发强, 闫成玉, 殷进垠, 黄学斌. 有杆抽油系统通用数学模型研究[J]. 石油学报, 2008,29(5): 769-772.(LIU Lei-ming, ZHANG Fa-qiang, YAN Cheng-yu, YIN Jin-yin, HUANG Xue-bin. Study on a general mathematical model for suck and pumping system[J].Acta Petrolei Sinica,2008,29(5): 769-772.(in Chinese))
    [3] 李子丰, 李敬元, 马兴瑞, 黄文虎. 油气井杆管柱动力学基本方程及应用[J]. 石油学报, 1999,20(3): 87-90.(LI Zi-feng, LI Jing-yuan, MA Xing-rui, HUANG Wen-hu. Fundamental equations and its applications for dynamical analysis of rod and pipe string in oil and gas wells[J].Acta Petrolei Sinica,1999,20(3): 87-90.(in Chinese))
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    [5] 崔振华. 有杆抽油系统[M]. 北京: 石油工业出版社, 1994: 253-254.(CUI Zhen-hua.Sucker Rod Pumping System [M]. Beijing: Petroleum Industry Press, 1994: 253-254.(in Chinese))
    [6] 王凯. 定向井有杆抽油泵系统诊断模型的建立[J]. 中国石油大学学报(自然科学版), 2010,34(2): 130-135.(WANG Kai. Modeling method for fault diagnosis to sucker rod pumping system in directional well[J].Journal of China University of Petroleum(Edition of Natural Science),2010,34(2): 130-135.(in Chinese))
    [7] 曹钧合. 抽油杆柱动态方程等效粘滞阻尼系数的确定[J]. 石油钻采工艺, 1988,15(2): 97-101.(CAO Jun-he. Sucker rod dynamics equations to determine the equivalent viscous damping[J].Oil Drilling & Production Technology,1988,15(2): 97-101.(in Chinese))
    [8] 余国安, 高国华. 利用示功图计算抽油井阻尼系数[J]. 石油钻采工艺, 1991,5(5): 57-64.(YU Guo-an, GAO Guo-hua. Calculating viscous damping factor of pumping wells with dynamometer cards[J].Oil Driling & Production Technology,1991,5(5): 57-64.(in Chinese))
    [9] Everitt T A, Jennings J W. An improved finite-difference calculation of downhole dynamometer cards for sucker-rod pumps[J].SPE Production Engineering,1992,7(1): 121-127.
    [10] Chacin J E, Purcupile J C. A new model for studying oilwell pumping installations[C]// SPE Annual Technical Conference and Exhibition.Dallas, Texas: Society of Petroleum Engineers, 1987: 395-405.
    [11] 李冬平. 有杆抽油系统杆柱动特性的预测与计算机仿真[D]. 硕士学位论文. 西安: 西安理工大学,2003: 35-38.(LI Dong-ping. Prediction of sucker rod string dynamic characteristics and computer simulation research for rod pumping system[D]. Master Thesis. Xi’an: Xi’an University of Technology, 2003: 35-38.(in Chinese))
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出版历程
  • 收稿日期:  2013-07-25
  • 修回日期:  2013-11-06
  • 刊出日期:  2014-04-15

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