基于矩谐分析的航空重力向下延拓

›› 2013, Vol. 42 ›› Issue (4): 0-0.

• 学术论文 •

基于矩谐分析的航空重力向下延拓

蒋涛¹,党亚民²,章传银¹,金涛勇³

1. 中国测绘科学研究院
2. 中国测绘科学研究院大地所
3. 武汉大学

收稿日期:2012-10-29 修回日期:2013-01-11 出版日期:2013-08-20 发布日期:2014-01-23
通讯作者: 党亚民 E-mail:dangym@casm.ac.cn
基金资助:
国家科技支撑计划;国家重点基础研究发展计划;国家自然科学基金面上项目

Downward continuation of airborne gravity data based on rectangular harmonic analysis

Yamin Dang ²

Received:2012-10-29 Revised:2013-01-11 Online:2013-08-20 Published:2014-01-23
Contact: Yamin Dang E-mail:dangym@casm.ac.cn

摘要/Abstract

摘要： 提出了基于矩谐分析的航空重力向下延拓方法，以重力扰动作为基本观测值，给出了基于矩谐分析的向下延拓模型和算法。利用EGM2008重力位模型设计模拟数值试验，对比研究矩谐分析、直接法和基于广义岭估计的逆Poisson积分法，分别采用这三种方法将飞行高度处含高斯白噪声的2.5′×2.5′ 重力扰动向下延拓至大地水准面，与真实值作外部检验。数值比较结果表明：矩谐分析在延拓精度、稳定性和边界效应等方面都要优于直接法和基于广义岭估计的逆Poisson积分法，能取得良好的向下延拓效果。

关键词: 航空重力, 向下延拓, 矩谐分析

Abstract: Rectangular harmonic analysis (RHA) is proposed for the downward continuation (DWC) of airborne gravity data in this paper, the mathematical model and detailed algorithm are presented. By conducting a simulated numerical experiment based on EGM2008 Earth gravitational model, three DWC approaches: RHA, direct method and inverse Poisson integral method based on generalized ridge estimate are compared and studied. The 2.5′×2.5′gravity disturbances with Gauss white noise at the flight levels are downward continued to the Geoid and compared with the true values. The numerical results show that RHA performs better than direct method or inverse Poisson integral method based on generalized ridge estimate.

Key words: airborne gravity, downward continuation, rectangular harmonic analysis

中图分类号:

P223

蒋涛党亚民章传银金涛勇. 基于矩谐分析的航空重力向下延拓[J]. , 2013, 42(4): 0-0.

Yamin Dang. Downward continuation of airborne gravity data based on rectangular harmonic analysis[J]. Acta Geodaetica et Cartographica Sinica, 2013, 42(4): 0-0.

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基于矩谐分析的航空重力向下延拓

Downward continuation of airborne gravity data based on rectangular harmonic analysis

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