海洋重力似大地水准面与区域测高似大地水准面的拟合问题
Problem on Fitting Between Marine Gravity Quasi-geoid and Local Altimetric Quasi-geoid
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摘要: 研究了将陆地重力似大地水准面与GPS水准似大地水准面拟合的处理方法推广到海洋的问题,首先从理论上证明了当存在海面地形,则海洋大地水准面与似大地水准面不重合,导出了在海洋上大地水准面差距与高程异常之间差值的公式,由此给出了求定平均海面相对于区域高程基准的正常高以及测高似大地水准面的计算公式。由于测高平均海面与GPS大地高有相近的精度,提出了将海洋重力似大地水准面与区域测高似大地水准面拟合的处理方法,并利用当前最新的海面地形模型和测高平均海面模型做了数值估计。Abstract: This paper studies the problem on extending the method for fitting between terrestrial gravity quasi-geoid and GPS leveling quasi-geoid to the case of sea area near coast. In theory, it is proved that marine geoid can not coincide with the corresponding quasi-geoid if sea surface topography (SST) exists, and a formula is derived for calculating the difference between marine geoid undulation and corresponding height anomaly. The formulas are presented to calculate the normal height of mean sea surface (MSS) on a local vertical datum and altimetric quasi-geoid. Considering the fact that altimetric MSS can have about the same accuracy level as that of GPS geodetic height, an extended method for fitting marine gravity quasi-geoid to altimetric quasi-geoid on a local vertical datum is advanced by using altimetric MSS data.