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地震 ›› 2008, Vol. 28 ›› Issue (4): 91-102.

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采用主成分分析方法研究降水对地下水位的影响

郑小菁, 刘序俨, 韦永祥, 陈莹   

  1. 福建省地震局, 福建 福州 350003
  • 收稿日期:2007-11-19 修回日期:2008-03-30 出版日期:2008-10-31 发布日期:2021-10-29
  • 作者简介:郑小菁(1965-), 女, 福州市人, 高级工程师, 主要从事地震地下流体等研究。
  • 基金资助:
    “十一五”国家科技支撑计划(2006BAC01B02-03-02)

Analysis of Effect of Precipitation to Underground Water Level of Qingyang Stressed Well of Fujian Province

ZHENG Xiao-jing, LIU Xu-yan, WEI Yong-xiang, CHEN Ying   

  1. Earthquake Administration of Fujian Province, Fuzhou 350003, China
  • Received:2007-11-19 Revised:2008-03-30 Online:2008-10-31 Published:2021-10-29

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摘要： 基岩裂隙地下水的井水位变化是一个受综合因素影响的观测量。 文中采用主成分分析方法, 分析了福建晋江青阳基岩裂隙水观测井2007年3~8月的地下水位观测资料, 并分别与降水当天值和降水累加值进行了对比研究, 讨论了两种计算结果。 根据计算结果分析认为, 基岩裂隙水观测井的地下水位对当天降水值的响应不显著, 主成分分析中的第一综合量主要为水位本身的得分, 而第二种情况得到的结果则分别反映了3~8月份逐月降水累加值对水位的影响, 说明降水对水位的影响具有累加效应, 并对5~8月份造成这种累加效应不明显的情况进行了探讨, 给出了逐月水位与降水累加值的逐月第一与第二综合量曲线。

关键词: 水位, 降水, 方差-协方差矩阵, 特征值与特征向量, 主成分分析

Abstract: Considered the level of underground water in Qingyang stressed well as a comprehensive observed quantity, authors give the brief introduction of principle, method and processing steps of principal components analysis (PCA) method. By using the underground water level and precipitation observation of stressed well in Qingyang, Jinjiang City, Quanzhou, from March to June 2007, the water level has been analyzed by PCA using the intraday rainfall and the accumulated precipitation separately, and comparison of these two situations indicates that the water level can not be effected by the intraday rainfall and the result reflects the real water level of stressed well; on the other hand, the water level has been effected by accumulated rainfall from March to June 2007 and the result reflect the accumulated effects of rainfall. Finally, authors give the curves of first and second synthetic observation values.

Key words: Water level, Precipitation, Variance-covariance matrix, Eigenvalue and eigenvector, Principal components analysis

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