新疆石油地质

新疆石油地质 ›› 2003, Vol. 24 ›› Issue (2): 149-151+188.

• 油藏工程 • 上一篇    下一篇

分形双孔介质封闭油气藏的试井模型

李顺初   

  1. 四川工业学院 计算机科学与工程系,四川 成都 610039
  • 收稿日期:2002-03-08 出版日期:2003-04-01 发布日期:2020-09-17
  • 作者简介:李顺初（1963-）,男,湖北浠水人,副教授,主要从事应用数学、油藏工程与油气井试井技术研究。联系电话：028-87720681

Well Test Model for Fractal Dual Porosity Closed Reservoir

LI Shun-chu   

  • Received:2002-03-08 Online:2003-04-01 Published:2020-09-17
  • About author:LI Shun-chu (1963-), Male, Associate Professor, Reservoir Engineering, Department of Computer Science and Engineering, Sichuan U-niversity of Science and Technology, Chengdu, Sichuan 610039, China

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摘要： 针对分形双孔介质模型,对于裂缝介质和岩块介质分别引入了反映分形体的几何特征的分形维数及分形渗流网络连通状况的分形指数;建立了外边界封闭且考虑井筒储存和表皮效应下的变流率问题的试井分析数学模型;并对一类具有广泛应用的特例,求得了无因次地层压力和井底压力的拉普拉斯空间解,归纳出了几个通用公式,并作了进一步应用的讨论 ,极大地方便和引导了相应的应用,对油气藏数值模拟具有指导意义。

关键词: 多孔介质, 分形学, 压力, 分布, 渗流

Abstract: In fractal dual porosity reservoir model, the features of fractured media and rock matrix are introduced, which reflect the frac-tal dimension that describes fractal geometrical characteristic and the fractal index that depicts connectivity of fractal flow network. The mathematical model with closed boundary for well test analysis is developed considering variable flow rate under borehole storage and skin effects. For a special case that is widely applied, this paper presents Laplace space solution for dimensionless reservoir pressure and bottom hole pressure,reducing several practical formulas,and making further discussion for application. This study can be as a guide for oil/gas reservoir simulation with great convenience and instruction to the relative uses.

Key words: porous media, fractal, pressure, distribution, percolation

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