新疆石油地质

新疆石油地质 ›› 1997, Vol. 18 ›› Issue (3): 247-258.

• 油藏工程 • 上一篇    下一篇

水驱特征曲线研究(四)

俞启泰   

  1. 中国石油天然气总公司石油勘探开发科学研究院 北京 100083
  • 收稿日期:1996-05-02 出版日期:1997-09-01 发布日期:2021-01-18
  • 作者简介:俞启泰,教授级高工 油藏工程

STUDY ON GENERALIZED WATER DISPLACEMENT CURVES- the 4th in Series

Yu Qitai   

  1. Scientific Research Institute of Petroleum Exploration and Development, CNPC, Beijing 100083
  • Received:1996-05-02 Online:1997-09-01 Published:2021-01-18
  • About author:Yu Qitai, Professor of Enginering

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摘要： 广义水驱特征曲线即可对应多条fw-R*关系的水驱特征曲线。本文介绍了九种广义水驱特征曲线,推导了相应的Np-fw、fw-R*、$\frac{dfw}{dR*}-R*$和递减曲线的Qt-t和Np-t关系式。用图形主要研究了它们的fw-R*关系的变化特点。在这些广义水驱特征曲线中,第32种曲线有着良好的fw-R*关系,并已在油田实际中应用,它的缺点是水驱特征曲线表达式较繁复。其他最有价值的水驱曲线是第24种和第25种广义水驱特征曲线。第24种广义水驱特征曲线即$N_p=a-\frac{b}{L_{p}^{b}}$品关系式,当m从∞到0变化时,它对应的递减曲线正好在Arps递减指数从0到1之间变化,即指数、双曲、调和递减曲线,具有广泛的代表性,特别适用于水驱层状油田。第25种广义水驱特征曲线, $N_p=a-\frac{b}{W_{p}^{m}}$,在fw-R*图上为凹形曲线,特别适用底水驱灰岩油田。

关键词: 水驱, 驱替特征曲线, 指数, 含水率, 可采储量, 采出程度, 递减率

Abstract: The generalized water displacemnent curves can be corresponded with many fw-R* relationships. In this paper, 9 types of generalized water displacement curves are presented and corresponded relationships of Np-fw,fw-R*,$\frac{dfw}{dR*}-R*$* and Qt-t and Np-t of corresponded decline curves are derived. The changing characteristics of their relationships of fu- R* were mainly studied with the fgures. The curve of equation (32) has good relatinship of fw-R*,and has already been used in the oilfield. But it has more complex formulas of water displacement curve. The generalized water displacement curves of equations (24) and (25) are valuable ones. For equation (24),that is $N_p=a-\frac{b}{L_{p}^{b}}$, when m is changed from∞ to 0, Arps' decline indices of corresponding decline curves are just changed from 0 to 1,i.e. exponential, hyperbolic and harmonic decline curves, so it has wide representativety and can be used in the bedded reservoirs with water drive especially. The water displacement curve of equation (25), $N_p=a-\frac{b}{W_{p}^{m}}$. is the protruding curve on the coordinate of fw-R*,and can be used in carbonate reservoirs with bottom water drive especially.

Key words: Water drive, Displacement curve, Index, Water cut, Recoverable reserve, Recovery percent, Decline rate