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

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.