水平井五点井网产能计算研究

石油大学学报990311

石油大学学报

JOURNAL OF THE UNIVERSITY OF

PETROLEUM,CHINA

1999年第23卷 第3期 vol.23No.31999

水平井五点井网产能计算研究

姚约东　葛家理　何顺利

摘要：对已有的联合井网（五点法注采井网）的产能公式进行了深入研究，运用等值渗流阻力法重新推导出五点井网的产量计算公式，根据镜像反映和势的叠加原理给出该井网的三维求解过程，并运用以上方法进行了实例求解。结果表明，新推导出的公式比原有公式的计算精度高,能满足现场联合井网产量预测的要求。

关键词：水平井；直井；五点井网；产能预测；计算公式

中图分类号：TE 313 文献标识码：A

FORMULA FOR CALCULATING PRODUCTIVITY OF 5－SPOT PATTERN IN

HORIZONTAL WELL

Yao Yuedong, Ge Jiali and He Shunli// 1999,23(3):41～43

Combination production of vertical and horizontal wells of 5-spot pattern is studied. A new formula for calculating production rate is introduced by using the flow resistance method. Based on the imaging and the superposition principles, a 3D steady state solution of the pattern is proposed. An example of production rate was calculated by the new formula. The method suggested in this paper can improve the accuracy of calculation, and it can forecast productivity in the oilfield development program for using a combination of horizontal and vertical wells.

Key words: horizontal well; vertical well; 5-spot pattern; productivity forecast; formula

About the first author: Yao Yuedong, male, was born in 1972. He graduated from the University of Petroleum in 1995. He is working towards his Ph.D degree on oilfield development at the University of Petroleum, China (Beijing:102200).

引　言

近年来，水平井与直井联合开采方法越来越受到重视，并在现场中得以应用。郎兆新等先后给出稳定流状态下的产量计算公式［1，2］。进一步研究表明，所给公式在推导过程中有疏忽。本文根据等值渗流阻力法重新推导水平井与直井联合面积布井的五点井网产量计算公式，并根据镜像反映和势的叠加原理，求解三维流动情况下的产量。

1　原有产量计算公式分析

原有联合面积井网的产量计算公式有郎兆新提出的公式［1］

(1)

曲德斌提出的公式［2］　

(2)

两者的差别在于式(2)分母中的第三项有2，其推导过程基本一样。分析其推导过程，在计算渗流阻力file:///E|/qk/sydxxb/sydx99/sydx9903/990311.htm（第 1／6 页）2010-3-23 8:11:11