基于Molodensky边值理论的似大地水准面计算模型改化及分析检验  

Modification and Test of the Model for Computing Quasi-Geoid Based on the Molodensky Boundary-Value Theory

作　　者：黄谟涛 邓凯亮 刘敏 吴太旗 陆秀平 欧阳永忠 翟国君 陈欣 王许 HUANG Motao;DENG Kailiang;LIU Min;WU Taiqi;LU Xiuping;OUYANG Yongzhong;ZHAI Guojun;CHEN Xin;WANG Xu(Naval Research Academy,Tianjin 300061,China;Key Laboratory of Marine Environmental Survey Technology and Application,Ministry of Natural Resources,Guangzhou 510300,China;91001 Troops,Beijing 100830,China)

机构地区：[1]海军研究院,天津300061 [2]自然资源部海洋环境探测技术与应用重点实验室,广东广州510300 [3]91001部队,北京100830

出　　处：《海洋测绘》2020年第4期1-8,共8页Hydrographic Surveying and Charting

基　　金：国家自然科学基金(41804011,41974005,41774021,41706111);国家重点研发计划(2016YFC0303007,2016YFB0501704)。

摘　　要：针对源自现代Molodensky边值理论的似大地水准面计算模型适用性问题,首先分析研究了Molodensky级数解计算模型的技术特点,提出了3种特定计算模型的实用改化方法,同时设计了4种分步改化模型检验方案,使用超高阶位模型EGM2008作为数值模拟标准场,对分步改化模型的计算效果进行了数值精度检核,并开展了数据观测噪声影响评估检验,得出了一些有参考和实际应用价值的研究结论。在一定条件下,使用改化Molodensky方法计算似大地水准面可获得1 cm的内符合度。In order to improve the adaptability of computation model for the determination of quasi-geoid based on the Molodensky boundary-value theory,we make a detail analysis and research on the technological characteristics of the computation models from Molodensky’s series solution,and propose three practical modified approaches to the three integral models.Then a four-step numerical scheme for testing the modified computation models is designed.A numerical standard simulation gravity field is established using ultra-high-degree geopotential model EGM2008.The different modified models from the four computation steps are examined and evaluated by numerical tests.The influence of noise in observational data is studied through numerical experimentation.Some useful conclusions with reference significance are achieved.It is showed that the internal fitting accuracy of computing quasi-geoid using the modified Molodensky models can reach 1 cm on some conditions.

关 键 词：Molodensky边值理论 似大地水准面 模型改化 误差分析 计算精度 

分 类 号：P223[天文地球—大地测量学与测量工程]