航空重力向上延拓的外部精度评估

蒋涛; 肖学年; 党亚民; 章传银; 刘站科

doi:10.11947/j.AGCS.2018.20170053

测绘学报 >

2018 , Vol. 47 >Issue 5: 567 - 574

DOI: https://doi.org/10.11947/j.AGCS.2018.20170053

大地测量学与导航

航空重力向上延拓的外部精度评估

蒋涛 ,
肖学年 ,
党亚民 ,
章传银 ,
刘站科

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1. 中国测绘科学研究院, 北京 100830;
2. 国家测绘地理信息局第一大地测量队, 陕西西安 710054

蒋涛(1984-),男,博士,副研究员,研究方向为地球重力场建模、大地水准面确定、航空重力测量和垂直基准建立与维持。E-mail:jiangtao@casm.ac.cn

收稿日期: 2017-02-07

修回日期: 2017-07-27

网络出版日期: 2018-06-01

基金资助

国家自然科学基金（41674024）；中国测绘科学研究院基本科研业务费（7771806；7771708）；测绘地理信息公益性行业科研专项（201512002）

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Evaluation of the External Accord Accuracy of Airborne Gravity Data with Upward Continuation

JIANG Tao ,
XIAO Xuenian ,
DANG Yamin ,
ZHANG Chuanyin ,
LIU Zhanke

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1. Chinese Academy of Surveying and Mapping, Beijing 100830, China;
2. The First Geodetic Surveying Brigade National Administration of Surveying, Mapping and Geoinformation, Xi'an 710054, China

Received date: 2017-02-07

Revised date: 2017-07-27

Online published: 2018-06-01

Supported by

The National Natural Science Foundation of China (No.41674024);The Basic Research Program of Chinese Academy of Surveying and Mapping (Nos.7771806;7771708);The Special Scientific Research Program for Public Welfare Profession of Surveying,Mapping and Geographical Information (No.201512002)

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摘要

分别采用基于梯度、基于泊松积分和基于快速傅里叶变换（FFT）的地面重力向上延拓方案，并提出交叉检验方法估计地面重力数据误差及其空中误差传播，对毛乌素测区GT-2A航空重力测量系统采集的空中测线数据进行外符合精度评价。对比结果表明：地面重力格网插值误差和代表性误差对空中点的影响达到0.66~0.92 mGal（1 Gal=1×10^-2 m/s²），航空重力数据误差估计必须扣除这一影响；基于泊松积分和基于FFT的地面重力向上延拓方法能够客观评价航空重力观测值的外符合精度，二者表现相当；扣除地面重力误差影响后，在包含残余边界效应的情况下，毛乌素测区GT-2A航空重力空中测线重力扰动的外符合精度优于1.42 mGal。

关键词： 航空重力; 外符合精度; 向上延拓; 泊松积分; FFT; 交叉检验

本文引用格式

蒋涛 , 肖学年 , 党亚民 , 章传银 , 刘站科 . 航空重力向上延拓的外部精度评估[J]. 测绘学报, 2018 , 47(5) : 567 -574 . DOI: 10.11947/j.AGCS.2018.20170053

Abstract

Three methods for evaluating the external accord accuracy of airborne gravity survey line data, namely the gradient based, the Poisson integral based and the fast Fourier transform (FFT) based upward continuation (UPC) of terrestrial gravity, are introduced. A cross validation method is proposed for the estimation of terrestrial gravity errors and their propagation at flight altitude. The external accord accuracy of airborne gravity survey line data over Mu Us in Inner Mongolia is evaluated based on the three UPC methods and the proposed cross validation method. Numerical results show that the gridding interpolation error and representative error of terrestrial gravity range from 0.66 to 0.92 mGal, which demonstrates the necessity of removing these errors for error estimation of airborne gravity data. The Poisson integral and the FFT based UPC method are capable of evaluating the external accord accuracy of airborne gravity data, both have comparative performance. Applying the methods for the data acquired by GT-2A airborne gravimetry system over Mu Us in Inner Mongolia, it turns out the external accord accuracy of the airborne gravity disturbances is better than 1.42 mGal(1 Gal=1×10^-2 m/s²) after the removal of terrestrial gravity error contribution,while some remaining integral edge effects still exist.

Key words： airborne gravity; external accord accuracy; upward continuation; Poisson integral; FFT; cross validation

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