小波变换在少震、弱震区地下水位数据分析中的应用

利用小波变换和多尺度分析原理，对位于少震弱震区的湖南的具有不同变化形态的6口典型井4年的水位日均值序列进行了分析。结果显示，通过多尺度分析可以很方便地将水位日均值序列中的高频部分与低频部分分开，而且对不同井孔的含水层系统而言，分离出去的频率成分的主模是不同的，这反应出不同井孔的含水层系统对同一频率的响应存在差异，主模的频率反映了正常背景下井孔－含水层系统的优势频率。Morlet小波分析的结果对时间序列的突然变化和周期结构都有很好的反映。

The application of Wavelet Transform to the process of water level observational data for weak earthquake region

In this paper Wavelet transform and Multiscale analysis are applied to the process of the daily mean value observed at six different well in weak earthquake region. The results show: with Multiscale analysis, we can easily separate high frequency composition and low frequency composition for the water-well daily mean value, and the results are good. The main modulus of high frequency for each well is different;it shows that there is response difference to different water-well system at same frequency. The frequency of main modulus represents the predominant frequency of a water-well-horizon. Based on Morlet Wavelet Transform analysis,we can find that it is useful to show the sudden change and the periodicity of water-well daily mean value.