用褶积滤波处理井水位对固体潮响应的滞后

本文给出了一种用褶积滤波处理井水位对固体潮响应滞后的新方法。鲁07井水位观测资料用这种方法处理比一般回归方法的平均中误差少4.6mm。文中讨论了褶积滤波积分区间长度与水井含水层渗透系数的关系及褶积滤波比别尔采夫滤波的优越性。

RESPONSE LAG OF WELL WATER LEVEL TO SOLID TIDE PROCESSED BY CONVOLUTION FILTERING

This paper proposed a new method for processing the response lag of well water level to solid tide using convolution filtering. Because water transfusion between boreholes and the aquifer needs a certain time, the well water level has a lag "memory" influence on solid tide response. Such influence can be removed by using convolution filtering,. Taking the observed data of No. 07 well water level in Shandong Province for an example, the average error of the well water level solid tide influence corrected by general regression method is 11.5 mm, and it is only 7.1 mm by the new method. So the correction effect of the new methods is better. The interval lengh of the convolution filtering integral is an index of the system to keep "memory" time interval of interference response. Generally, the smaller the coefficient of permeability and thickness of the aquifer, the longer the lag "memory" time of the well-water-level response to solid tide, the longer the interral length of the convolution integral. The size of this length can be determined through tests or calculation. Pertsev's filtering can process periodic variation composition of lag, but it can not remove the lag "memory" influence, and it also has a defect of causality reversion. And the convolution filtering has no such a defect, so it is a better new method for processing the response lag of well-water level to solid tide.