石油学报 ›› 2003, Vol. 24 ›› Issue (4): 73-76.DOI: 10.7623/syxb200304017

• 油田开发 • 上一篇    下一篇

自动识别油藏渗透率分布微分方程反演算法

柳毓松, 王才经   

  1. 石油大学应用数学系, 山东东营, 257061
  • 收稿日期:2002-08-26 修回日期:2002-11-26 出版日期:2003-07-25 发布日期:2010-05-21
  • 作者简介:柳毓松,男,1977年2月生,1999年毕业于石油大学(华东),现在石油大学(华东)应用数学系从事教学和科研工作.
  • 基金资助:
    中国石油天然气集团公司基础研究项目(990507-04-03)"试井分析技术应用基础研究"的部分成果.

Differential equation inversion method for automatically identifying permeability distribution of oil reservoir

LIU Yu-song, WANG Cai-jing   

  1. University of Petroleum, Dongying 257061, China
  • Received:2002-08-26 Revised:2002-11-26 Online:2003-07-25 Published:2010-05-21

摘要: 利用微分方程反演理论,根据压力方程和饱和度方程非线性耦合的复杂性特点,充分利用隐式压力显式饱和度的成熟算法,形成一种崭新的序贯反演方法,成功地解决了时空域中反演方法、欠定积分方程的数值解法以及不依赖初始猜测的迭代算法中的一系列问题,既快速又准确地自动识别不可压缩流体和多维多相可压缩流体渗流的油藏渗透率分布.理论模型和实际资料检验证明,该方法不仅丰富了微分方程反演理论和方法,而且具有生产实用价值.

关键词: 油藏, 流体流动, 渗透率分布, 自动识别方法, 反演, 数值模拟, 微分方程, 序贯算法

Abstract: An inversion method was proposed on differential equation inversion theory.According to the characterizations of nonlinear coupling between pressure equations and saturability equations,a series of issues in the inversion in time-space domain,the numerical solution of underdetermined integral equation and iterative algorithm without a good initial guess were solved.This method can automatically identify the permeability distribution of incompressible flow reservoir and multi-dimensional multi-phase compressible flow reservoir fleetly and accurately.The results from theoretical model and practical application proved that this method not only richens the differential equation inversion theory,but also has the practical application values.

Key words: oil reservoir, fluid flow, permeability distribution, automatic identification, mathematical simulation, differential equation, sequen-tial inversion

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