扰动重力梯度的球冠谐分析建模

doi:10.11947/j.AGCS.2017.20160412

测绘学报 ›› 2017, Vol. 46 ›› Issue (11): 1802-1811.doi: 10.11947/j.AGCS.2017.20160412

扰动重力梯度的球冠谐分析建模

王燚, 姜效典

中国海洋大学海洋地球科学学院, 山东青岛 266100

收稿日期:2016-08-18 修回日期:2017-07-26 出版日期:2017-11-20 发布日期:2017-12-05
作者简介:王燚(1974-),男,博士,讲师,研究方向为地球物理勘探方法与信息技术。E-mail:wyfox009@163.com
基金资助:
海洋公益性行业科研专项经费（201305029-02）

The Spherical Cap Harmonic Analysis Modeling Method Based on Disturbing Gravity Gradients

WANG Yi, JIANG Xiaodian

College of Marine Geo-science, Ocean University of China, Qingdao 266100, China

Received:2016-08-18 Revised:2017-07-26 Online:2017-11-20 Published:2017-12-05
Supported by:
The Oceanic Public Nonprofit Research Project (No. 201305029-02)

摘要/Abstract

摘要：

从球冠谐理论出发，详细推导了球冠坐标系下扰动重力梯度的无奇异性计算公式。基于Tikhonov正则化方法，利用GOCE卫星实际观测数据解算局部重力场球冠谐模型。数值计算表明，基于扰动重力梯度的球冠谐分析建模方法能够有效地恢复局部重力场中的短波信号，与GO_CONS_GCF_2_DIR_R5模型的差异在±0.3×10^-5 m/s²水平。

关键词: 球冠谐和分析, 扰动重力, 重力梯度, Tikhonov正则化方法

Abstract:

It is deduced that the non-singular computational formulae of the disturbing gravity gradients based on spherical cap harmonic analysis theory.On the basis of the Tikhonov regularization method,the spherical cap harmonic model of local gravity field is calculated using GOCE satellite real surveying data.It is shown that the short wavelength information of local gravity field can be recovered from the disturbing gravity gradient data using spherical cap harmonic analysis method,and the difference with the GO_CONS_GCF_2_DIR_R5 model is at ±0.3×10^-5 m/s².

Key words: spherical cap harmonic analysis, disturbing gravity, gravity gradients, Tikhonov regulariza-tion method

中图分类号:

P223

王燚, 姜效典. 扰动重力梯度的球冠谐分析建模[J]. 测绘学报, 2017, 46(11): 1802-1811.

WANG Yi, JIANG Xiaodian. The Spherical Cap Harmonic Analysis Modeling Method Based on Disturbing Gravity Gradients[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(11): 1802-1811.

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扰动重力梯度的球冠谐分析建模

The Spherical Cap Harmonic Analysis Modeling Method Based on Disturbing Gravity Gradients

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