GRACE离散时变重力场的大尺度动态变化模型构建分析

doi:10.11947/j.AGCS.2018.20180167

摘要/Abstract

摘要： 针对GRACE月时变重力场的离散球谐系数，提出联合经验正交函数分解和多通道奇异谱分析的方法，在有效实现空间维数压缩和条带噪声去除的同时，提取、分析其动态变化特征并构建相应的变化模型。结果表明，GRACE离散球谐系数存在显著的周年项和长期趋势项变化成分，其中，周年项模态的方差贡献达到50.6%，扣除周年项成分后长期趋势项的累积方差贡献达到77.4%。以长期趋势项和周年项成分构建的非线性模型能较好地反映离散球谐系数及其反演结果的动态变化特征，其对全球陆表等效水柱高的拟合标准差介于0.3~14.0 cm，平均标准差为1.8 cm。研究结果可为分析地球重力场各参量变化特征及地球动力学变化提供重要参考。

关键词: GRACE, 时变重力场, 球谐系数, 动态变化模型

Abstract: For the monthly spherical harmonic coefficients (SHCs) from GRACE, a method using empirical orthogonal function (EOF) and multi-channel singular spectrum analysis (MSSA) is presented to effectively reduce its dimension and remove its strip noise. The dynamic changing of the SHCs is analyzed, and the corresponding changing model is then constructed. The significant annual term and long term trend have been found in the discrete SHCs, which account for 50.6% and 77.4% (after the annual term has been deducted) of the total variance, respectively. The nonlinear model, which constructed from long term trend and annual term, can perfectly reflect the dynamic changing of the SHCs and its inversion results. And the fitting standard deviation of the equivalent water height on grids over global land areas is between 0.3 cm and 14.0 cm, and the average standard deviation is 1.8 cm. This study can provide valuable implications for the research on the parameter changing characteristics of gravity field and geodynamics.

Key words: GRACE, time variable gravity, spherical harmonic coefficients, dynamic changing model

中图分类号:

P223

朱传东, 刘金钊, 王同庆, 陈兆辉, 张品, 张双喜. GRACE离散时变重力场的大尺度动态变化模型构建分析[J]. 测绘学报, 2018, 47(12): 1581-1590.

ZHU Chuandong, LIU Jinzhao, WANG Tongqing, CHEN Zhaohui, ZHANG Pin, ZHANG Shuangxi. An Analysis on the Construction of Large-scale Dynamic Changing Model of Discrete Time Variable Gravity from GRACE[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(12): 1581-1590.

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