基于Stokes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 Boundary-Value Theory

针对源自经典Stokes边值理论的大地水准面计算模型适用性问题,提出了3种实用化的Stokes积分模型分阶段改化方法,分析讨论了数据截断误差和观测噪声对大地水准面计算结果的影响,设计了改化计算模型的数值检验方案,使用超高阶位模型EGM2008作为数值模拟标准场,对3种改化计算模型进行了数值计算实验和精度检核,同时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方法计算大地水准面可获得1 cm的内符合度。

In order to improve the adaptability of computation model for the determination of geoid based on the Stokes boundary-value theory, we propose three step by step modified approaches to the Stokes integral model.Then the effects of truncation error and observation noise on the computed results of geoid are analyzed and discussed.And a 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 three modified models are examined and evaluated by numerical computations.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 using the modified Stokes models can reach 1 cm in some conditions.