基于逆Stokes公式的测高重力反演中央区效应计算

Calculation of Innermost Area Effects in Altimetry Gravity Recovery Based on the Inverse Stokes Formula

为提高利用逆Stokes公式反演测高重力的精度,将中央区大地水准面高表示成双三次多项式插值形式,引入了非奇异变换,推导出了重力异常的计算公式。大地水准面高理论模型下的分析表明,该公式有较高的精度。以分辨率为2′×2′的大地水准面高数据为背景场进行了实际计算,结果说明中央区对反演重力异常有不容忽视的贡献。本文导出的公式可为高精度重力异常的反演提供理论依据。

In order to improve the precision of the altimetry gravity computed by the inverse Stokes formula, the geoidal height of the innermost area is expressed as double cubic polynomial, and a formula to calculate gravity anomaly of this area is derived after the non-singular transformation is introduced. The analysis based on the theoretical model of the geoidal height shows that the accuracy of this formula is quite high. A practical calculation is done based on the geoidal height data with a resolution of 2′ 〉 2′, and the results indicate that the contribution of the innermost area to the gravity anomaly recover should not be ignored. The formula derived in this paper could provide theoretical basis for the gravity anomaly recovery with high precision.