基于Stokes-Helmert边值理论的大地水准面计算模型改化及分析检验  

Modification and Test of the Model for Computing Geoid Based on the Stokes-Helmert Boundary-Value Theory

作　　者：黄谟涛 邓凯亮 陈欣 吴太旗 陆秀平 欧阳永忠 翟国君 刘敏 王许 HUANG Motao;DENG Kailiang;CHEN Xin;WU Taiqi;LU Xiuping;OUYANG Yongzhong;ZHAI Guojun;LIU Min;WANG Xu(Naval Research Academy,Tianjin 300061,China;Key Laboratory of Marine Environmental Survey Technology and Application,Ministry of Natural Resources,Guangzhou 510300,China;Command Guarantee Troops of the Naval Staff,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]海参指挥保障大队,北京100830

出　　处：《海洋测绘》2020年第5期1-8,14,共9页Hydrographic Surveying and Charting

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

摘　　要：针对源自Stokes-Helmert边值理论的大地水准面计算模型适用性问题,首先详细解析了Stokes-Helmert方法的基本原理和计算模型,研究探讨了该方法与其他现有方法的关联性和差异性,分析比较了Stokes-Helmert计算模型和相同类型模型的技术特点,提出了Stokes-Helmert计算模型的实用改化方法,同时设计了4种分步改化模型的实验验证方案,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Stokes-Helmert方法计算(似)大地水准面可获得优于2 cm的内符合度。In order to improve the adaptability of computation model for the determination of geoid based on the Stokes-Helmert boundary-value theory,we make a detail analysis and research on the basic principle and computation models of Stokes-Helmert method.And the relevancy and difference between Stokes-Helmert method and other ones are studied and discussed.The technological characteristics of computation models from Stokes-Helmert method and other related ones are analyzed and compared.Some practical modified approaches to the computation models from Stokes-Helmert method are proposed.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 geoid and quasi-geoid using the modified Stokes-Helmert models can reach 2 cm on some conditions.

关 键 词：Stokes-Helmert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]