收稿日期: 2012-04-22
修回日期: 2012-07-01
网络出版日期: 2012-09-10
基金资助
山东省地质勘查基金项目“济南城市地质调查”（编号：鲁勘字（2011）46号）；国家自然科学基金项目“浅层大陆盐化咸水水文地质参数变异机制研究”（编号：41172222）资助.
Cross Wavelet Analysis of Groundwater Level Regimes and Precipitation Groundwater Level Regime in Ji’nan Spring Region
Received date: 2012-04-22
Revised date: 2012-07-01
Online published: 2012-09-10
利用1988—2009年济南泉域8个地下水位动态观测点不同时段观测资料及1998—2009年降水数据，采用连续小波变换、交叉小波变换方法对济南泉域地下水位动态的多时间尺度特征、相互关系及其对降水的响应进行了分析。结果表明：①济南泉域地下水位动态存在显著的0.82~1.16 a的主振荡周期，低频部分仅在部分年份存在1.95~3.09 a的振荡周期；②含水岩组富水性对地下水位动态存在影响，研究区主径流方向上弱富水性地段地下水位动态时滞较强富水性地段长，强富水性地段4个观测孔地下水位波动时序基本一致；③地下水位动态对降水的响应滞后明显，为73.06~134.42 d，总体表现为地下水径流路径越长，响应越滞后；④基于地下水位动态与基于降水—地下水位动态交叉小波变换得到的观测点对水位动态的滞后时间多数一致，同一径流路径上局部点对滞后时间之和与全局点对有很好的对应关系。交叉小波分析可定量评价泉域地下水位动态及其与降水的相关关系。
祁晓凡 , 杨丽芝 , 韩 晔 , 尚 浩 , 邢立亭 . 济南泉域地下水位动态及其对降水响应的交叉小波分析[J]. 地球科学进展, 2012 , 27(9) : 969 -978 . DOI: 10.11867/j.issn.1001-8166.2012.09.0969
Based on observations of eight groundwater level regime observational points from 1998 to 2009 in Jinan spring region and the precipitation amount from 1988 to 2009, by adopting the methods of continuous wavelet transform, cross wavelet transform and cross phase, the paper analyzes the multipletimescale characteristics of groundwater level regime, its correlation with each other, as well as response to precipitation. Conclusions are drawn as follows: The region is of obvious 0.82~1.16 years significant oscillation periods with 1.95~3.09 years of lowfrequency oscillation occurring in some areas with no obvious highfrequency oscillation period. Observations from three dot pairs, the Tuwu villageWater Group Co, Xiaozhuang villageKuangli village, and Laoshigou villageRoyal Heights established to investigate the main runoff of the region by analyzing cross wavelet transforms of groundwater level regime and precipitationgroundwater level regime show that the water level regime of the nether observational points lag behind that of the upper ones respectively by 9.41, 11.90, 33.97 d and 5.63, 17.73, 31.87 d. Water abundance of the region is also surveyed and it is believed that water abundance has impact on timedelay characteristic of groundwater level regime and that larger figures occur in weak abundance sections while small ones in strong water abundance sections. The four observational points, the parking lot 102, Xiaozhuang village, Water Group Co, Dayu Village in strong water abundance sections show similar groundwater level fluctuations, which is resulted from basically simultaneous runoff supply or strong runoff. The groundwater level regime in Laoshigou village lags behind precipitation by 73.06 d, other observational points by 101.11~134.42 d, indicating that there is significant timedelay between groundwater level regime and precipitation, and also that the longer the groundwater runoff distance, the longer the timedelay is. Based on cross wavelet transform of groundwater level regime and precipitationgroundwater level regime, most observational points get close timedelay, despite a few different figures due to difference in precipitation data, observation time and precipitation recharge mechanism, etc. Under the same observation time in cross wavelet transform of groundwater level regime, a functional relationship is found between the total timedelay sum of part dot pairs and that of the whole dot pairs in the same runoff areas. Thus, cross wavelet can be analyzed to investigate correlation between groundwater level regime and precipitation of a region.
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