小波分析在井水位的气压和潮汐改正中的应用

本文将小波分析方法应用于地下水位观测资料的气压和潮汐改正中。该方法利用小波将气压观测和理论重力固体潮资料分解为不同频段的时间序列,用最小二乘法求出气压和固体潮不同频段的响应系数,以消除气压和固体潮对水位的影响。用该方法计算的结果与一般线形回归分析方法得到的结果进行对比,发现该方法能更有效地分析和消除气压和固体潮对地下水位的影响。小波分解在井水位气压、潮汐改正中的应用以波动理论和振动理论为基础,它不仅考虑了观测资料的频率域特性,而且还能直接在时间域内计算出不同频率范围的气压系数和潮汐系数,具有明确的物理意义。

Application of Wavelet Decomposition to Remove Barometric and Tidal Response in Borehole Water Level

Wavelet decomposition is used to analyse barometric fluctuation and earth tidal response in borehole water level changes. We apply wavelet analysis method to decompose barometric fluctuation and earth tidal response into several temporal series in different frequency ranges. Barometric and tidal coefficient in different frequency ranges is computed with least-square method to remove barometric and tidal response. Comparing this with general linear regress analysis method, we find wavelet analysis method can efficiently remove barometric and earth tidal response in borehole water level. Wavelet analysis method is based on wave and shaking theory. It not only considers the frequency characteristics of the observed data but also the temporal characteristic, and it can get barometric and tidal coefficient in different frequency range. This method has definite physical meaning.