中文摘要：

针对工程建设中存在的有限区域地下水流动问题，以及已有文献中隔水边界条件下解析解计算结果的不合理性，利用Fourier变换和Hankel变换分别推导了矩形有限区域和圆形有限区域在不同边界条件下的地下水非稳流解析解，指出了已有文献中有限区域隔水边界条件下解析解存在的问题，保证了有限区域地下水流动问题的合理计算。

英文摘要：

Due to regional groundwater flow in the engineering construction site and the unreasonable results of the analytical solutions from literatures related to no-flow boundary, analytical solutions of unsteady groundwater flow in rectangular area and circular area were derived by Fourier integral transforms and Hankel integral transforms under the different boundary conditions. The existing problems of analytical solution were pointed out under no-flow boundary conditions, then the groundwater flow computation in reasanableness limited areas can be assured.