重力网的分段线性动态平差

doi:10.11947/j.AGCS.2016.20150362

测绘学报 ›› 2016, Vol. 45 ›› Issue (5): 511-520.doi: 10.11947/j.AGCS.2016.20150362

重力网的分段线性动态平差

隗寿春^1,2, 徐建桥², 周江存²

1. 中国科学院大学, 北京 100049;
2. 中国科学院测量与地球物理研究所大地测量与地球动力学国家重点实验室, 湖北武汉 430077

收稿日期:2015-07-08 修回日期:2016-02-01 出版日期:2016-05-20 发布日期:2016-05-30
作者简介:隗寿春(1986-),男,博士生,研究方向为地面重力数据处理。E-mail: scwei1986@126.com
基金资助:
国家973计划(2014CB845902);国家自然科学基金(41274085)

Piece-wise Linear Dynamic Adjustment for Gravity Network

WEI Shouchun^1,2, XU Jianqiao², ZHOU Jiangcun²

1. University of Chinese Academy of Sciences, Beijing 100049, China;
2. State Key Laboratory of Geodesy and Earth's Dynamics, Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, ChinaAbstract

Received:2015-07-08 Revised:2016-02-01 Online:2016-05-20 Published:2016-05-30
Supported by:
The National Basic Research Program of China (973 Program) (No.2014CB845902);The National Natural Science Foundation of China(No. 41274085)

摘要/Abstract

摘要： 为研究重力场的时变特性,考虑到我国全国重力网布设和观测的现状,引入一种分段线性动态平差模型,用于流动重力网的平差处理。与传统静态平差模型相比,该模型可以得到更可靠的重力场变化特征。为验证模型的有效性,对我国全国重力网数据和模拟数据分别进行了动态平差和静态平差处理。结果显示,对于全国重力网数据,两种平差方法得到的重力变化率的平均差值为13.4×10^-8 m·s^-2/a,最大差值达50×10^-8 m·s^-2/a,且动态平差精度明显优于传统静态平差。对于模拟数据,动态平差结果中80%以上的平差值与理论值差值在1×10^-8 m·s^-2/a以内,只有两个差值超过2×10^-8 m·s^-2/a,而静态平差结果中只有44.4%的平差值与理论值差值在1×10^-8 m·s^-2/a以内,差值超过2×10^-8 m·s^-2/a的占21%。因此,本文提出的分段线性动态平差模型与传统静态平差模型相比能更有效地反映真实重力场的变化信息。

关键词: 流动重力观测, 全国重力网, 动态平差, 分段线性模型

Abstract: Based on the status of the distribution and measurements in the national gravity network, a piece-wise linear dynamic adjustment model is introduced and applied to the analysis of the relative gravity observations in order to study the temporal gravity variations in mainland China. Compared with the traditional static adjustment model, more reliable temporal gravity variation characteristics can be given by the new model. To verify the validity of the model, it is processed that the gravity data from the national network and simulated data using the two methods, respectively. For the national gravity network, the mean difference of the rates of gravity changes obtained by the two adjustment methods is 13.4×10^-8 m·s^-2/a, with a maximum of 50×10^-8 m·s^-2/a. The precision of the dynamic adjustment is obviously better than the traditional static adjustment. For the simulated data, the rates of gravity change are compared with the theoretical ones at the same points. It is found that over 80% of the differences are less than 1×10^-8 m·s^-2/a from dynamic adjustment, and only two differences are larger than 2×10^-8 m·s^-2/a. In contrary, there are only 44.4% of the differences are less than 1×10^-8 m·s^-2/a from static adjustment, and 21% of the differences are larger than 2×10^-8 m·s^-2/a. Therefore, the piece-wise linear dynamic adjustment model can provide more reliable information of the temporal gravity changes compared with the traditional static adjustment model.

Key words: mobile gravity observation, national gravity network, dynamic adjustment, piece-wise linear model

中图分类号:

P223

隗寿春, 徐建桥, 周江存. 重力网的分段线性动态平差[J]. 测绘学报, 2016, 45(5): 511-520.

WEI Shouchun, XU Jianqiao, ZHOU Jiangcun. Piece-wise Linear Dynamic Adjustment for Gravity Network[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(5): 511-520.

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重力网的分段线性动态平差

Piece-wise Linear Dynamic Adjustment for Gravity Network

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