承压含水层非稳定流有限层分析

Analysis on Unsteady Groundwater Flow in the Confined Aquifer by Finite Layer Method.

利用伽辽金法,推导了以傅立叶函数为基础的层状非均质各向异性承压含水层非稳定流有限层方程,编制了相应的计算程序。通过算例的有限层解与解析解的对比分析,在验证有限层法正确性的基础上,深入探讨了计算区域、计算项数等因素对计算结果的影响,得到了计算区域尺寸影响有限层解的收敛速度等结论,最后给出了一定精度条件下计算项数选用的近似估算公式。

Based on Galerkin method and Fourier function, the finite layer formulations are derived for calculating the groundwater drawdown in the non-homogeneous and anisotropic layered confined aquifer, and a computer program using FORTRAN Ianguage is developed. The numerical examples are presented and compared with the analytical solutions to demonstrate the validity of finite layer method. The effect of the side lengths of calculating range and the number of Fourier terms on the results is discussed. The numerical results show that the convergence of the results from FLM becomes slow with the increasing of the side length. The approximate formula is given for selecting the reasonable small number of Fourier terms.