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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
引用本文: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.
作者姓名:吴怿昊  罗志才  周波阳
作者单位: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
基金项目:国家自然科学基金(41374023;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) The National Natural Science Foundation of China(.41374023;41174020),The State Scholarship Fund from Chinese Scholarship Council(201306270014),The Fundamental Research Funds for the Central Universities(2042014gf041)
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  
收稿时间:2015-04-27
修稿时间:2016-03-01

Generalized Residual Terrain Model and Its Application in Regional Gravity Field Approximation
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.
Authors:WU Yihao  LUO Zhicai  ZHOU Boyang
Institution: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
Abstract:We studied the so-called non-harmonic problem in residual terrain model (RTM)and compared the RTMcorrections based on prisms and tesseroids.Moreover,we proposed the generalized RTMbased 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 RTMcorrection 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.
Keywords:residual terrain model  harmonic correction  Poisson wavelets radial basis function  quasi-geoid  regional gravity field modeling
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