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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。
The Galerkin method is used to derive the finite layer equation of instability flow in stratified heterogeneous anisotropic confined aquifer based on Fourier function. Based on the comparison between the finite layer solution and the analytical solution, the validity of the finite layer method is verified and the influences of the calculation area, the number of items and other factors on the calculation results are discussed in depth. The influence of the size of the calculation area on the finite layer The convergence rate of the solution and so on. Finally, we give an approximate estimation formula for calculating the number of terms under a certain accuracy condition.