郭金运^1,2,,
高文宗¹,
于红娟^1,3,
刘新¹,
孔巧丽^1,2,
陈晓东⁴
1. 山东科技大学测绘科学与工程学院, 青岛 266590
2. 山东科技大学矿山灾害预防控制省部共建国家重点实验室, 青岛 266590
3. 同济大学测绘与地理信息学院, 上海 200092
4. 中国科学院测量与地球物理研究所, 武汉 430077

基金项目: 国家自然科学基金（41374009，41774001，41704015，41374084，41574072），国家科技基础性工作专项（2015FY310200），山东科技大学科研创新团队支持计划（2014TDJH101）联合资助


详细信息

作者简介: 郭金运, 男, 1969年生, 博士, 教授, 博导, 主要从事空间大地测量、海洋大地测量、物理大地测量等研究.E-mail:jinyunguo1@126.com

中图分类号: P223

收稿日期:2018-02-07
修回日期:2018-09-06
上线日期:2018-10-05

Gravity tides extracted from relative gravimetric data with singular spectrum analysis

GUO JinYun^1,2,,
GAO WenZong¹,
YU HongJuan^1,3,
LIU Xin¹,
KONG QiaoLi^1,2,
CHEN XiaoDong⁴
1. College of Geomatics, Shandong University of Science and Technology, Qingdao 266590, China
2. State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, China
3. College of Surveying and Geo-informatics, Tongji University, Shanghai 200092, China
4. Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China


MSC: P223

--> Received Date: 07 February 2018
Revised Date: 06 September 2018
Available Online: 05 October 2018


摘要
摘要:针对相对重力测量数据中存在的重力固体潮信号，本文提出将奇异谱分析方法（Singular Spectrum Analysis，SSA）应用到相对重力测量数据处理中，在不需要测站坐标等先验信息的条件下从相对重力数据中提取重力固体潮，提供了一种获取重力固体潮的新思路.采用模拟的相对重力数据进行实验，利用SSA方法和小波变换方法分别从模拟信号中提取重力固体潮并进行结果对比，SSA获取的重力固体潮与理论值残差RMS为0.3 μGal，小波方法获取的残差RMS为1.6 μGal.利用CG-5相对重力仪实测数据进行实验，提出一种利用SSA外推时间序列来削弱边界效应的新思路，实验结果显示采用这种方法后重力固体潮值与理论值残差序列的RMS和STD均有所减小.通过实验发现削弱边界效应后SSA提取的重力固体潮与采用Tamura潮波表计算的重力固体潮理论值残差RMS值为2.2 μGal.利用SSA提取的零点漂移值与最小二乘拟合得到的结果基本一致，十天内的差值小于0.4 μGal/d.
关键词: 奇异谱分析/
重力固体潮/
零点漂移/
边界效应/
相对重力测量

Abstract:In order to obtain and study the gravity tides in relative gravimetric data, the singular spectrum analysis (SSA) method was firstly applied to extract gravity tides without any a priori information (e.g. station coordinate) from relative gravimetric data. The SSA and wavelet results of extracting gravity tides from simulated signals were compared. The RMS of residuals between gravity tides extracted with SSA and theoretical values is 0.3 μGal, and the RMS of residuals between gravity tides extracted with wavelet and theoretical values is 1.6 μGal. Based on the relative gravimetric data observed by CG-5 Autograv, a new method of extrapolating time series with SSA to weaken the impact of SSA boundary effect is put forward. The experimental results indicate that the RMS and STD of residuals between the gravity tides and the model theoretical values are all reduced. Based on the above processing, the gravity tides extracted with SSA are consistent with model theoretical values calculated by Tamura table, and the RMS of residuals between them is only 2.2 μGal. In addition, the zero drift obtained with SSA is basically the same as the value obtained with the least squares fitting method with the difference of less than 0.4 μGal/d.
Key words:Singular spectrum analysis/
Gravity tides/
Zero drift/
Boundary effect/
Relative gravimetry



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