• ISSN 2097-1893
    • CN 10-1855/P

    基于地块分区的陆态网GNSS坐标序列时空滤波

    Spatiotemporal filtering of GNSS coordinate time series from the crustal movement observation network based on plate partitioning

    • 摘要: 全球导航卫星系统(GNSS)已成为大陆地壳形变监测、地球动力学研究与灾害预警的常规技术手段,大尺度 GNSS 网内站点间共模误差(CME)的空间相关性随距离增大而衰减,导致主成分分析(PCA)/独立成分分析(ICA)时空滤波中很多分量难以表现出所有站点的空间响应一致分布. 针对这一问题,本文依据中国大陆第一级活动构造块体划分原则,将研究区域划分为川滇、东北、华北、华南、青藏高原、西域六个子区域,采用PCA方法对每个子区域开展三维GNSS坐标序列时空滤波研究. 实验选取2013年至2023年中陆态网208个质量合格的GNSS坐标时间序列,数据预处理包括趋势项去除、阶跃项改正和粗差剔除. 以均方根(RMS)、幂律噪声幅度及经验累积分布函数(ECDF)量化滤波效果,并结合大气负荷、水文负荷、非潮汐海洋负荷改正解析共模误差来源. 在噪声特性分析中,采用白噪声叠加幂律噪声组合模型描述坐标时间序列的随机特性,通过最大似然估计法估计滤波前后的噪声参数变化. 在CME物理解释部分,引入谐波分析方法提取周年与半周年周期信号,并采用不匹配值(D值)定量评估CME与环境负荷位移的周期一致性. 结果表明: 分区PCA滤波在北(N)、东(E)、垂向(U)三个分量的平均RMS较原始序列分别降低21.39%、20.20%和29.15%,滤波效果显著优于整体PCA滤波;幂律噪声幅度平均降幅达31.07%、31.13%和33.41%,可更有效抑制序列中的噪声;经环境负荷改正后,分区滤波提取的垂向共模误差与地表质量负荷位移具有更高的周期一致性,证实垂向共模误差主要来源于大气、水文与非潮汐海洋负荷的联合作用. 研究结果可为大尺度GNSS网坐标序列共模误差精细处理、区域形变高精度监测提供一种新思路.

       

      Abstract: Global Navigation Satellite System (GNSS) has become a routine technical tool for continental crustal deformation monitoring, geodynamic research, and disaster early warning. In large-scale GNSS networks, the spatial correlation of common mode errors (CME) between stations decays rapidly with increasing distance, making it difficult for spatiotemporal filtering methods such as principal component analysis (PCA) and independent component analysis (ICA) to extract components that exhibit consistent spatial responses across all stations. To address this issue, this study divides the study area into six subregions-Chuandian region, Northeast region, North China region, South China region, the Qinghai–Xizang Plateau region, and Xiyu region—based on the first-level active tectonic blocks in mainland China, and applies the PCA method to perform three-dimensional GNSS coordinate time series spatiotemporal filtering for each subregion. The experiment selects 208 GNSS coordinate time series with qualified data quality from the Crustal Movement Observation Network of China (CMONOC) spanning from 2013 to 2023. Data preprocessing includes trend removal, step discontinuity correction, and gross error elimination. The filtering performance is quantified using root mean square (RMS), power-law noise amplitude, and empirical cumulative distribution function (ECDF), while the sources of CME are analyzed in combination with atmospheric loading, hydrological loading, and non-tidal oceanic loading corrections. In the noise characteristic analysis, a combined white noise plus power-law noise model is adopted to describe the stochastic properties of the coordinate time series, and the maximum likelihood estimation method is used to estimate noise parameter variations before and after filtering. In the geophysical interpretation of CME, harmonic analysis is introduced to extract annual and semi-annual periodic signals, and a mismatch index (D-value) is employed to quantitatively evaluate the consistency of periodic components between CME and environmental loading displacements. The results demonstrate that the sub-regional PCA filtering reduces the average RMS of the north (N), east (E), and vertical (U) components by 21.39%, 20.20%, and 29.15%, respectively, significantly outperforming global PCA. The average power-law noise amplitudes are reduced by 31.07%, 31.13%, and 33.41%, respectively, indicating more effective suppression of noise in the time series. After environmental loading corrections, the vertical CME extracted by partitioned filtering exhibits higher periodic consistency with surface mass loading displacements, confirming that the vertical CME mainly originates from the combined effects of atmospheric, hydrological, and non-tidal oceanic loadings. The findings provide a new approach for refined CME processing in large-scale GNSS network coordinate time series and high-precision monitoring of regional deformation.

       

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