石油学报 ›› 2006, Vol. 27 ›› Issue (4): 133-138.DOI: 10.7623/syxb200604031

• 石油工程 • 上一篇    下一篇

非均匀地应力场中套管载荷的理论解

殷有泉1, 蔡永恩2, 陈朝伟2, 刘继生3   

  1. 1. 北京大学力学与工程科学系, 北京, 100871;
    2. 北京大学地球物理系, 北京, 100871;
    3. 大庆油田有限责任公司, 黑龙江大庆, 163453
  • 收稿日期:2005-08-10 修回日期:2005-12-16 出版日期:2006-07-25 发布日期:2010-05-21
  • 作者简介:殷有泉,男,1937年8月生,1963年毕业于北京大学数学力学系,现为北京大学教授,博士生导师,长期从事有关塑性力学、计算力学、岩石力学和地球动力学的教学和研究工作.E-mail:yinyq@pku.edu.cn

Theoretical solution of casing loading in non-uniform ground stress field

Yin Youquan1, Cai Yong'en2, Chen Zhaowei2, Liu Jisheng3   

  1. 1. Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, China;
    2. Department of Geophysics, Peking University, Beijing 100871, China;
    3. PetroChina Daqing Oilfield Company, Ltd., Daqing 163453, China
  • Received:2005-08-10 Revised:2005-12-16 Online:2006-07-25 Published:2010-05-21

摘要: 利用弹性力学理论推导出了非均匀地应力条件下套管-地层系统的位移场、应力场和套管载荷的解析表达式.将非均匀地应力分解为均匀地应力和偏差地应力两部分,并用弹性力学方法分别对其进行求解,得出理论解,最后将两部分叠加得到非均匀地应力条件下的套管-地层系统的位移场、应力场和套管载荷.应用实例表明,套管径向压力载荷图形的长轴指向地应力场的最小主压应力方向.

关键词: 非均匀地应力, 套管-地层系统, 套管载荷, 解析解, 弹性力学理论

Abstract: The analytic formulas for displacement field and stress field of formation as well as the casing loading in a casing-stratum system under non-uniform ground stress were deduced in terms of elasticity theory.The non-uniform ground stress can be decomposed into mean part and partial part.Then the problem of casing loading can be decomposed into two easier problems,which can be separately solved.The solutions of two problems can be composed together to get the final result.An example shows that the long axis of the casing pressure figure directs to the minimum principal compression stress.

Key words: non-uniform ground stress, casing-stratum system, casing loading, analytic solution, elasticity theory

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