利用小扰动方法处理了任意形状非均质油藏不稳定渗流问题，将解表达成关于扰动参数的无穷幂级数形式。应用边界元方法和杜哈美原理获得了考虑井筒储存和表皮效应的井底压力。绘制了考虑油藏非均质性、复杂边界以及油藏内存在不渗透区域等因素的井底不稳定压力典型曲线，并分析了曲线特征。与解析方法的对比表明，本文的扰动边界元方法计算精度很高，适用于任意形状非均质油藏的不稳定压力动态分析。

The transient flow mathematical model of arbitrary shaped heterogeneous reservoir is constructed in this paper. In order to solve this model, perturbation method is employed and the solution is expanded into a series in powers of perturbation parameter. By using the boundary element method and Duhamel principle, wellbore pressure with effects of skins and wellbore storage is obtained. The type curves are plotted and analyzed considering effects of heterogeneity, arbitrary shape and impermeable barries. At last, the perturbation boundary element method is verified against the analytical solution and is applicable to transient pressure analysis of arbitrary shaped reservoir.