摘要
提出了一个较为实际的石油油藏的三维力学模型。以已有的三维介质中应力与渗流耦合问题的变分原理为基础 ,用摄动法证明了当油藏厚度变化为小量时 ,三维问题可简化为平面应变问题 ,并可采用不同厚度的平面应变单元进行有限元分析 ,所得到的解即是该三维问题的零阶摄动解。给出了摄动法的推导和有限元格式 。
This paper presents a practical model for oil reservoir in field recovery. Based on stress seepage coupled variational principles, it is proved, using the perturbation method, that the three dimensional problem can be reducible to a modified plane strain problem with variable thickness of the oil formation if the thickness varies slightly in the horizontal direction. The solution then obtained is the zero order perturtation solution. The global finite element equations are given for the modified plane strain problem. An example for secondary oil recovery in hydraulic fracturing is analyzed numerically and the results are presented.
出处
《岩土力学》
EI
CSCD
2000年第2期113-118,共6页
Rock and Soil Mechanics
基金
国家教委自然科学研究基金 !G- 95( 0 2 ) ]资助
关键词
渗流
多孔介质
摄动法
有限元法
油藏
应力
seepage flow, porous media, perturbation method, finite element analysis
