考虑井筒储存和表皮效应的变流率问题的精确解

ACCURATE SOLUTION FOR VARIABLE-RATE CASE WITH WELLBORE STORAGE AND SKIN EFFECTS

本文用较新的观点,建立了无限大均质地层(考虑井筒储存和表皮效应)中单井系统变流率问题的压力降分布的数学模型;利用Lap1ace变换法,解出了井底压力变化的精确解析解;并将其无因次化,以便于在实际中用来制作试井分析样板曲线图,并简要地指出了实际应用此精确解的方法。

Using a new point of view, this paper provides a mathematical model that assumes the drawdown distribution of variable-rate case of a single-well system in infinite, isotropic formation, taking wellbore storage and skin effects into consideration. The model gives an accurate analytical slution to the change in bottom-hole pressure, using Laplace's transform method, and gives its dimensionless form so as to draw a typical curve for well-test analysis easily in practice. This paper also briefly presents the method of applying the accurate analytical solution.