西影井水位的相空间重构及其与地震活动关系  

Phase-space reconstruction of water level time series of Xiying well and its relationship with regional seismic activity

作　　者：王卫东[1] 豆晨 张永志[1] 郑怡[2] 赵云峰[3] WANG Wei-dong;DOU Chen;ZHANG Yong-zhi;ZHENG Yi;ZHAO Yun-feng(School of Geological Engineering and Geomatics,Chang'an University,Xi'an 710054,P.R.C.;Earthquake Administration of Shaanxi Province,Xi'an 710068 ,P.R.C.;Second Crust Monitoring and Application Center,CEA,Xi'an 710054,P.R.C.)

机构地区：[1]长安大学地质工程与测绘学院,陕西西安710054 [2]陕西省地震局,陕西西安710068 [3]中国地震局第二监测中心,陕西西安710054

出　　处：《西南民族大学学报（自然科学版）》2019年第1期82-87,共6页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金(41274005);中央高校基本科研业务费专项资金(创新团队)(2013G3262012)

摘　　要：地下水位的动态演变过程对地震活动性分析具有重要意义,西影井水位时间序列受多种因素影响,呈现出高度非线性非平稳的特征.根据混沌理论,采用相空间重构GP算法,分析了西影井水位日均值差分时间序列的混沌动力学特征,结果表明其最小嵌入维数为8,并在此基础上研究了西影井水位日均值差分时间序列饱和关联维的时间变化特征.结果表明,西影井水位日均值差分时间序列饱和关联维随时间的变化与西安及邻区地震活动和中强地震孕育过程密切相关,在1998年1月5日泾阳5. 2级地震前后,西影井水位日均值差分时间序列饱和关联维经历了明显的上升—下降—加速下降—回升的过程.这种分维变化特征可能与地震孕育过程有关,可能反映了地震孕育过程中区域应力场的变化,有助于捕捉未来该地区中强地震发生的前兆信息.The dynamic evolution of groundwater level is of great significance for the analysis of seismicity. The time series of water level of Xiying well is affected by many factors and present a highly non-linear and non-stationary feature. In this paper,the chaos characteristic of the difference time series of water level of Xiying well is analyzed by using G-P algorithm,the results show that the minimum embedding dimension is 8. Based on the results,the temporal curve of the saturated correlation dimension of the difference time series of water level of Xiying well is determined. The results show that the saturated correlation dimension of the difference time series of water level of Xiying well is obviously related to the regional seismic activity. Before and after the Jingyang earthquake with ML= 5.2,the saturated correlation dimension of the difference time series of water level of Xiying well experienced a process of rise-fall-rapidly fall-recovery. The temporal variation of the saturated correlation dimension of the difference time series of water level of Xiying well may reflect the changes of the regional stress field during the seismogenic process. And the study of such temporal variation in the fractal dimension may help to capture the precursor information of moderate and strong earthquakes around the area in the future.

关 键 词：地下水位时间序列 相空间重构 饱和关联维 地震活动性 西影井 

分 类 号：P315.7[天文地球—地震学] P64[天文地球—固体地球物理学]