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本文详细地推导了在均质承压含水层中的非稳定流边界单元法的计算公式。分别用边界单元法、有限元法及解析法来模拟北京福利农场1号孔1966年1月16日的抽水试验。讨论了计算中遇到的时间积分的计算方法及时间步长等问题。所得到的计算结果表明:非稳定流边界单元法计算的水位降深对大多数观测孔来说,其数值精度比有限元高;该方法能较好的模拟边界进水量随时间的变化过程;计算结果的精度随边界结点的增加而得到提高。但是,边界单元法随拟合时间的增加,将需要较多的计算机时。
In this paper, the formula of the unsteady flow boundary element method in a homogeneous confined aquifer is derived in detail. Boundary element method, finite element method and analytical method were respectively used to simulate the pumping test of No. 1 hole of Beijing welfare farm on January 16, 1966. Discusses the calculation of the time integrals encountered in the calculation and the time steps and other issues. The calculated results show that for the most observation wells, the numerical accuracy of the water level decay calculated by the unsteady flow boundary element method is higher than that of the finite element method. This method can better simulate the process of the boundary inflow with time The accuracy of calculation results is improved with the increase of boundary nodes. However, the boundary element method will require more computer time as the fitting time increases.