随机地下水非平稳谱方法

摘要

从一般的随机地下水模型出发，逐步给出了基于傅里叶变换的非平稳谱方法控制方程的建立过程。基于该框架的模型可以很好地处理实际地下水运动的非平稳性和随机性，给出了随机模拟最为关心的各阶距的求解方法，该方法采用半解析半数值技术，对高频部分采用解析方法，对低频部分采用数值方法，既提高了精度又减小了计算量。%Based on the general stochastic groundwater governing equation, the complete nonstationary spectral stochastic model is deduced step by step, which can deal with the complicated heterogeneous and nonstationary properties of large-scale groundwater movement due to the complex structure and component of the stratum. Finally, an approach to compute the moments of the most concern to stochastic groundwater simulation is introduced by combining theoretical and numerical methods. The theoretical techniques are used to handle the item with high frequency and the numerical techniques are used to simulate the item with low frequency.