Syncretic Processing of GOCE Satellite's SST and SGG Data Based on Spectral Combination Method
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摘要: 不同类型重力测量数据的融合处理，是地球重力场模型化研究的难点和热点问题之一.基于调和分析方法推导了由GOCE卫星SST和SGG数据构建地球重力场模型的谱组合公式及对应谱权的具体形式，给出了多种类型重力测量数据联合处理的谱权及谱组合的通用表达式.结果表明，SST数据能够有效改善SGG数据解算模型在低阶部分的精度，从而提高了解算的地球重力场模型的质量和可靠性并拓宽了其频谱范围，使其精度和空间分辨率有更进一步的提高.Abstract: Syncretic processing of various types of gravimetric data is one of the challenging and hot issues in the modeling of Earth's gravitational field model (EGM). The general expressions of the spectral weight and spectral combination of the united-processing of various types of gravimetric data are presented in this paper. What's more, the detailed expressions of spectral combination formulae and the corresponding spectral weights in the EGM determination using satellite-to-satellite tracking (SST) data and satellite gravity gradient (SGG) data of GOCE satellite are derived, based on spherical harmonic analysis method. Experimentation results show that the EGM computed by SGG data is improved by SST data in the low order, whatever the data are simulated or surveyed. It is concluded that as many types of gravimetric data as possible should be combined together in the data processing in order to improve the quality and reliability with widening scope and to improve the precision and spatial resolution of the computational results.
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图 1 SST、SGG、SST+SGG数据恢复的重力场模型阶误差RMS (a)、累计大地水准面误差 (b) 和累计重力异常误差 (c)
Fig. 1. The degree error RMS of the EGM (a), the cumulative geoid error (b) and the cumulative gravity anomaly error (c) recovered by SST, SGG and SST+SGG data
图 2 GOCE-SST、GOCE-SGG、GOCE-SST+GOCE-SGG、GOCE-SST-SGG、GO-CONS-TIM对应的重力场模型阶误差RMS (a)、累计大地水准面误差 (b) 和累计重力异常误差 (c)
Fig. 2. The degree error RMS (a), the cumulative geoid error (b) and the cumulative gravity anomaly error (c) of the GOCE-SST, GOCE-SGG, GOCE-SST+GOCE-SGG, GOCE-SST-SGG and GO-CONS-TIM
表 1 SST、SGG、SST+SGG恢复重力场模型的精度统计结果
Table 1. The precision statistical results of the EGM recovered by SST, SGG, SST+SGG data
数据类型 模型阶数
累计大地水准面
误差 (cm)
累计重力异常
误差 (mGal)SST 70 2.409 0.259 SGG 70 0.249 0.027 SST+SGG 70 0.199 0.021 SGG 200 3.041 0.934 SST+SGG 200 3.037 0.933 
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表 2 GOCE-SST、GOCE-SGG、GOCE-SST+GOCE-SGG、GOCE-SST-SGG、GO-CONS-TIM的精度统计
Table 2. The precision statistical results of the GOCE-SST, GOCE-SGG, GOCE-SST+GOCE-SGG, GOCE-SST-SGG and GO-CONS-TIM
数据类型 模型阶数
累计大地水准面
误差 (cm)
累计重力异常
误差 (mGal)SST 120 86.798 14.567 SGG 120 15.292 1.294 GOCE-SST+GOCE-SGG 120 8.545 1.156 GOCE-SST-SGG 120 92.815 13.358 GO-CONS-TIM 120 2.585 0.344 SGG 200 18.369 2.947 GOCE-SST+GOCE-SGG 200 13.289 2.889 GOCE-SST-SGG 200 590.001 151.670 GO-CONS-TIM 200 5.940 1.491
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