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

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.