西南石油大学学报(自然科学版) ›› 1997, Vol. 19 ›› Issue (2): 47-50.DOI: 10.3863/j.issn.1000-2634.1997.02.10

• 油气藏工程 • 上一篇    下一篇

有界分形油藏的压力动态分析

李凡华 刘慈群   

  1. (中科院渗流流体力学研究所)
  • 收稿日期:1996-06-02 修回日期:1900-01-01 出版日期:1997-04-20 发布日期:1997-04-20

Pressure Transient Analysis of Finite Fractal Reservoirs

Li Fanhua Liu Ci-qun   

  1. (Institute of Porous Flow and Fluid Mechanics, He Bei, 102801)
  • Received:1996-06-02 Revised:1900-01-01 Online:1997-04-20 Published:1997-04-20

摘要:

从广义对流扩散方程出发,首先给出了其在拉氏空间中的通解,然后给出了等压或不渗透外边界条件下,考虑井筒存储和表皮效应的拉氏空间中的解;计算并讨论了孔隙度和渗透率谱指数θφ,θk和井筒存储系数Cd及表皮因子s′对无因次井底压力的影响,并求得了不渗透边界影响到达井底后双对数曲线上出现的直线段斜率为1。
 

关键词: 油藏, 试井解释, 分形学, 井底压力, 压力动态, 动态分析

Abstract:

In this paper, we get the general solution of generalized convection-diffusion (C-D) equation in Laplace space, and then get the solution under the condition of uniform pressure or non-permeable outer boundary, taking wellbore storage and skin effect into account. We calculate and discuss the effects on dimensionless bottom hole pressure (Pwd) of porosity spectral exponent, permeability spectral exponent, wellbore storage coefficient, and skin factor. After the effect of non-permeable boundary condition reaches the bottom hole ,a straight line on log-log plot yields with slope of 1.0.

Key words: Reservoirs, Well test interpretation, Bottom hole pressure, Pressure behavior, Performance analysis

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