广义残差地形模型及其在局部重力场逼近中的应用

doi:10.11947/j.AGCS.2016.20150219

测绘学报 ›› 2016, Vol. 45 ›› Issue (5): 531-537.doi: 10.11947/j.AGCS.2016.20150219

广义残差地形模型及其在局部重力场逼近中的应用

吴怿昊¹, 罗志才^1,2,3, 周波阳⁴

1. 武汉大学测绘学院, 湖北武汉 430079;
2. 武汉大学地球空间环境与大地测量教育部重点实验室, 湖北武汉 430079;
3. 武汉大学测绘遥感信息工程国家重点实验室, 湖北武汉 430079;
4. 广东工业大学测绘工程系, 广东广州 510006

收稿日期:2015-04-27 修回日期:2016-03-01 出版日期:2016-05-20 发布日期:2016-05-30
通讯作者: 罗志才 E-mail:zhcluo@sgg.whu.edu.cn
作者简介:吴怿昊(1987-),男,博士生,研究方向为物理大地测量学。E-mail: whuwyh@126.com
基金资助:
国家自然科学基金(41374023; 41131067; 41174020);国家留学基金委基金(201306270014);中央高校基本科研业务费专项(2042014gf041)

Generalized Residual Terrain Model and Its Application in Regional Gravity Field Approximation

WU Yihao¹, LUO Zhicai^1,2,3, ZHOU Boyang⁴

1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
2. Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University, Wuhan 430079, China;
3. State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Wuhan 430079, China;
4. Department of Surveying and Mapping, Guangdong University of Technology, Guangzhou 510006, ChinaAbstract

Received:2015-04-27 Revised:2016-03-01 Online:2016-05-20 Published:2016-05-30
Supported by:
The National Natural Science Foundation of China (Nos.41374023;41131067;41174020);The State Scholarship Fund from Chinese Scholarship Council (No.201306270014);The Fundamental Research Funds for the Central Universities (No.2042014gf041)

摘要/Abstract

摘要： 研究了残差地形模型中的非调和性问题,比较了基于棱柱体和球冠体的积分模型,提出了基于球冠体积分的广义残差地形模型。以泊松小波径向基函数为构造基函数,结合广义残差地形模型,融合多源实测重力数据构建了局部区域重力场模型。研究结果表明:基于棱柱体积分的残差地形模型精度较低,在山区可能引入毫伽级以上的误差,建议采用更为接近真实地形表面的球冠体积分模型。相比于原始的残差地形模型,基于球冠体积分的广义残差地形模型能更为精确地逼近局部重力场模型中地形因素引起的高频效应。

关键词: 残差地形模型, 调和改正, 泊松小波径向基函数, 似大地水准面, 局部重力场建模

Abstract: We studied the so-called non-harmonic problem in residual terrain model (RTM) and compared the RTM corrections based on prisms and tesseroids. Moreover, we proposed the generalized RTM based on tesseroids, together with which the regional gravity field was modeled based on Poisson wavelets basis function by using heterogeneous gravity data sets. The results show that the RTM correction based on prism integral has a poor performance in mountainous regions, which may introduce errors with the magnitude of several mGal. Thus, we suggest using RTM based on tesseroids, which lead to a better approximation of the topography. Compared to original residual terrain model,the generalized one leads a better approximation of the regional gravity filed at the high-frequency part caused by local topographical variation.

Key words: residual terrain model, harmonic correction, Poisson wavelets radial basis function, quasi-geoid, regional gravity field modeling

中图分类号:

P223

吴怿昊, 罗志才, 周波阳. 广义残差地形模型及其在局部重力场逼近中的应用[J]. 测绘学报, 2016, 45(5): 531-537.

WU Yihao, LUO Zhicai, ZHOU Boyang. Generalized Residual Terrain Model and Its Application in Regional Gravity Field Approximation[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(5): 531-537.

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广义残差地形模型及其在局部重力场逼近中的应用

Generalized Residual Terrain Model and Its Application in Regional Gravity Field Approximation

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