Abstract: A new theoretical treatment has been developed for computing the average reservoir pressure using an integral of reservoir pressure distribution when the reservoir is homogenous, circular in shape, with a well located at the centre of a circle. The outer boundaries are considered both closed and kept at a constant pressure. This is a precise method theoretically. In the closed case, the relation between dimensionless average pressure and dimensionless time is linear if C_D and S are neglected. When the dimensionless producing time is long, the dimensionless average pressure is almost unchanged, if the out boundaries keep at a constant pressure. According to the results of calculation, a series of graphs and tables of dimensionless pressure vs. dimensionless time are obtained. It is very convenient for practical application in petroleum engineering.

摘要： 给出了均匀介质、圆形地层中心一口井,在外边界定压及外边界封闭的条件下,利用压力分布进行积分的方法求平均地层压力.从理论上讲,这是一个精确的方法.在外边界封闭的情况下,不考虑C_D和S的无量纲平均地层压力,与无量纲生产时间成正比;在外边界定压的情况下,当无量纲生产时间较大时,无量纲平均地层压力几乎不变,将计算结果制成图表,对油田开发的实际应用是非常方便.

关键词: 地层压力, 平均值, 压力分布, 计算方法, 积分方程, 拉普拉斯变换