Perturbation and finite element analysis for stress-seepage coupled problems in three dimensional oil reservoir

Chen Jie; Li Yaochen

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Perturbation and finite element analysis for stress-seepage coupled problems in three dimensional oil reservoir

更新时间：2026-06-25

- Perturbation and finite element analysis for stress-seepage coupled problems in three dimensional oil reservoir
- Vol. 21, Issue 2, (2000)
- 作者机构：
  
  上海铁道大学土木建筑学院,上海,200331
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU452
- Online First：12 December 2016，
  
  Published：2000
- 稿件说明：
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Chen Jie, Li Yaochen. Perturbation and finite element analysis for stress-seepage coupled problems in three dimensional oil reservoir[J]. 2000, 21(2).
DOI：

Chen Jie, Li Yaochen. Perturbation and finite element analysis for stress-seepage coupled problems in three dimensional oil reservoir[J]. 2000, 21(2). DOI：

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

计算了一个水驱法进行油田二次开发的算例并给出了计算结果。

Abstract

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 perturbation 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 a represented.

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