应用Slepian局部谱方法解算中国大陆重力场球谐模型

陈石; 徐伟民; 王谦身

doi:10.11947/j.AGCS.2017.20150542

测绘学报 >

2017 , Vol. 46 >Issue 8: 952 - 960

DOI: https://doi.org/10.11947/j.AGCS.2017.20150542

大地测量学与导航

应用Slepian局部谱方法解算中国大陆重力场球谐模型

陈石 ,
徐伟民 ,
王谦身

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1. 中国地震局地球物理研究所, 北京 100081;
2. 中国科学院地质与地球物理研究所, 北京 100029

陈石(1980-),男,博士,研究员,主要从事重力位场方法与地球动力学研究。E-mail:chenshi@cea-igp.ac.cn

收稿日期: 2015-10-26

修回日期: 2016-12-23

网络出版日期: 2017-09-01

基金资助

科技部地震行业科研专项（201508006；201508009）；中国地震局地球物理研究所基本科研业务专项（DQJB16A05；DQJB16B07）；川滇国家地震监测预报实验场项目（2016CESE0202）

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The Spherical Harmonic Model of Gravity Field in Mainland China by Slepian Local Spectrum Method

CHEN Shi ,
XU Weimin ,
WANG Qianshen

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1. Institute of Geophysics, China Earthquake Administration, Beijing 100081, China;
2. Institute of Geology and Geophysics, Chinese Academy of Science, Beijing 100029, China

Received date: 2015-10-26

Revised date: 2016-12-23

Online published: 2017-09-01

Supported by

China National Special Fund for Earthquake Scientific Research in Public Interest (Nos.201508006;201508009);Science Foundation Institute of Geophysics;CEA from the Ministry of Science and Technology of China(Nos.DQJB16A05;DQJB16B07);China Earthquake Science Experiment (No.2016CESE0202)

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摘要

根据经典的球谐函数方法，为满足正交化要求，观测数据需要覆盖整个球面，而对于地表局部测量数据，则无法应用球谐方法解算重力场模型。针对此问题，采用Slepian局部谱分析方法解算中国大陆范围内的实测重力场变化数据，并以GOCE卫星球谐函数解作为已知模型，评估由于实际陆地重力测点的非均匀分布对球谐函数解的误差影响。通过计算多个阶次中国大陆局部范围的Slepian基函数分布；采用GOCE卫星获得重力场模型的前72阶球谐系数作为已知结果，评价实际测点非均匀分布的解算有效性，并针对中国大陆地区采用Slepian基函数进行解算，通过模型对比选择最优截段项数；针对2005-2008年中国大陆地区流动重力测量获得的重力场变化信号进行解算，获得了72阶重力场变化模型。

关键词： 时空局部化方法; Slepian函数; 中国大陆; 重力变化; 球谐函数

本文引用格式

陈石 , 徐伟民 , 王谦身 . 应用Slepian局部谱方法解算中国大陆重力场球谐模型[J]. 测绘学报, 2017 , 46(8) : 952 -960 . DOI: 10.11947/j.AGCS.2017.20150542

Abstract

For the purpose of calculating the gravity field model through spherical harmonic method only based on local measurements, it calculated that the measured gravity field data in mainland China by Slepian local spectrum method, and also it evaluated that the error effected by the non-uniformity of measured points by the known spherical harmonic model of GOCE satellite datasets. Firstly it calculated that the Slepian basis functions in mainland China and took the 72 order spherical harmonic model of GOCE satellite to evaluate the effective of the method in non-uniformity of measured points. Then, it recalculated that the gravity filed model by the Slepian localized spectral approach based on the resample points of Chinese mainland, and determined the gravity field variation model of Chinese mainland using the repeated gravity measure datasets from 2005 to 2008.

Key words： spatio-spectral concentration approach; Slepian function; mainland China; gravity variation; spherical harmonic function

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