西南石油大学学报(自然科学版) ›› 2001, Vol. 23 ›› Issue (2): 40-43.DOI: 10.3863/j.issn.1000-2634.2001.02.011

• 石油工程 • 上一篇    下一篇

用边界元法分析复杂形状油藏不稳定压力动态

刘启国1 李晓平1 吴晓庆2

  

  1. 1.西南石油学院石油工程学院,四川 南充 637001;2.西南石油学院计算机科学学院
  • 收稿日期:2000-05-24 修回日期:1900-01-01 出版日期:2001-04-20 发布日期:2001-04-20
  • 通讯作者: 刘启国

ANALYSIS OF PRESSURE TRANSIENT BEHAVIORS IN ARBITRARILY SHAPED RESERVOIRS BY THE BOUNDARY ELEMENT METHOD

LIU Qi-guo1 LI Xiao- ping1 WU Xiao- qing2
  

  1. Southwest Petroleum Inst ,China
  • Received:2000-05-24 Revised:1900-01-01 Online:2001-04-20 Published:2001-04-20
  • Contact: LIU Qi-guo

摘要: 油藏的形态对井底压力动态响应有着显著的影响,常规的解析方法只能计算规则形状油藏的井底压力响应。首先依据边界元理论推导了任意形状外边界地层以及任意形状外边界地层中含多个任意形状局部不渗透团块的复杂形状油藏的井底不稳定压力响应的计算方法,应用杜哈美原理考虑了井筒储集效应和表皮效应对井底压力动态的影响,然后将边界元方法计算的结果与常规解析方法求解的结果进行了比较,并分析了任意形状油藏的井底不稳定压力动态特征。

关键词: 压力动态, 积分方程, 井筒储存, 表皮效应, 边界元, 任意形状

Abstract: The effect of the shape of reservoir boundaries on the well-bore pressure response is evident. The conventional analytical methods can only be used to calculate wellbore pressure responsein regularly shaped reservoirs. In this paper, according to the theory of Boundary-Element Method (BEM), pressure transient solution in an arbitrarily shaped reservoir with any number
of irregularly shaped impermeable sub-regions is proposed by Laplace domain BEM. By using Duhamel theorem, the influence of wellbore storage and skin effect on pressure transient response is considered. Then the BEM results are compared to that of analytical methods. And pressure transient behavior
characters in arbitrary reservoir shaped are analyzed.

Key words: pressure performance, integral equation, wellbore storage, skin effect, boundary element, arbitrary shape

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