﻿ 卫星测高误差对海洋重力场反演的影响
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1. 西安测绘研究所，陕西 西安 710054；
2. 地理信息工程国家重点实验室，陕西 西安 710054；
3. 信息工程大学 地理空间信息学院，河南 郑州 450052

Influence of Altimetry Errors on Marine Geopotential Recovery
PENG Fuqing1,2,CHEN Shuangjun3,JIN Qunfeng1,2
1. Xi’an Institute of Surveying and Mapping,Xi’an 710054,China;
2. National Key Laboratory of Geo-information Engineering,Xi’an 710054,China;
3. Geo-information Institute,Information Engineering University,Zhengzhou 450052,China
First author: PENG Fuqing(1974—),male,PhD,associate research fellow,majors in satellite altimetry and magnetism.E-mail： altimetry@sohu.com
Abstract:The influence of altimetry errors on marine geopotential recovery is studied,and the formulae for the altimetry stochastic errors transmission during the marine gravity anomalies recovery are presented. In the end,the predicted geopotential errors with several resolutions from 2cm and 8cm altimetry random errors are quantitative analysed,respectively. The results can propose some references for the Chinese altimetry satellite design in the future.
Key words: altimetry     inverse Vening-Meinesz formula     stochastic error

1 引 言

2 误差传播

3 试验分析

3.1 计算测高卫星星下点轨迹

t时刻卫星的经度λ由下式算得

 图 1 测高卫星正常点轨迹示意图 Fig. 1 The sketch map of atimetry satellite orbit tracks on the ground
3.2 推估重力场反演误差

 重力场参数 分辨率 海面高误差 /cm 海面坡度误差 /μrad 反演误差 /mGal 重力异常 1′×1′ 2 15.8 3.9 2′×2′ 7.9 2.0 3′×3′ 5.2 1.3 5′×5′ 3.2 0.8 1′×1′ 8 62.9 15.9 2′×2′ 31.4 8.0 3′×3′ 21.0 5.2 5′×5′ 12.6 3.2
4 结 论

(1) 2cm测高随机误差引发的1′×1′海洋重力异常反演误差为±3.9mGal。

(2) 海洋重力异常反演误差与测高随机误差呈正比变化，与海洋重力异常的空间分辨率成反比变化。

 [1] WANG Haiying, WANG Guangyun. Inversion of Gravity Anomalies from Along-track Vertical Deflections with Satellite Altimeter Data and Its Applications[J]. Acta Geodaetica et Cartographica Sinica, 2001, 30(1): 21-26. (王海瑛,王广运. 卫星测高数据的沿轨迹重力异常反演法及其应用[J]. 测绘学报,2001,30(1): 21-26.) [2] BASIC T, RAPP R H. Ocean Wide Prediction of Gravity Anomalies and Sea Surface Heights Using Geos-3 Seasat, Geosat Altimeter Data and ETOPO5U Bathymetric Data[R]. Columbus: Ohio State University, 1992. [3] HUANG Motao, ZHAI Guojun, GUAN Zheng, et al. On the Recovery of Gravity Anomalies from Altimeter Data[J]. Acta Geodaetica et Cartographica Sinica, 2001, 30(2): 179-184. (黄谟涛,翟国君,管铮, 等. 利用卫星测高数据反演海洋重力异常研究[J]. 测绘学报,2001,30(2): 179-184.) [4] ZHANG C, SIDERIS M G.Oceanic Gravity by Analytical Inversion of Hotines Formula[J]. Marine Geodesy, 1996, 19(2): 115-36. [5] ZHANG Changyou, BLAIS J. Recovery of Gravity Disturbances from Satellite Altimetry by FFT Techniques: A Synthetic Study[J]. Manuscripta Geodaetica, 1993, 18(3): 158-170. [6] HWANG C, KAO E C, PARSONS B. Global Derivation of Marine Gravity Anomalies from Seasat, Geosat, ERS-1 and TOPEX/Poseidon Altimeter Data[J]. Geophysical Jounal International, 1998, 134(2): 449-459. [7] LI Jiancheng, NING Jinsheng, CHEN Junyong, et al. Determination of Gravity Anomalies over the South China Sea by Combination of TOPEX/Poseidon ERS2 and Geosat Altimeter Data[J]. Acta Geodaetica et Cartographica Sinica, 2001, 30(3): 197-202. (李建成, 宁津生, 陈俊勇, 等. 联合TOPEX/Poseidon ERS2 和Geosat卫星测高资料确定中国近海重力异常[J]. 测绘学报,2001, 30(3): 197-202.) [8] HEISKANEN W A, MORITZ H. Physical Geodesy[M]. San Francisco: Freeman W H and Company, 1967. [9] YU Jinhai, ZHANG Chuanding. A Solution Method for the Satellite Altimetry Problem with the Spherical Harmonic Series[J]. Chinese Journal of Geophysics, 2005, 48(3): 561-566. (于锦海,张传定. 卫星测高混合边值问题的球谐级数解法[J]. 地球物理学报, 2005, 48(3): 561-566.) [10] AVISO. AVISO and PODAAC User Handbook: IGDR and GDR Jason Products[M]. 2nd ed. [S.l.]: AVISO, 2004. [11] DONG Xiaojun, HUANG Cheng. Monitoring Global Mean Sea Level Variation with TOPEX/Poseidon Altimetry[J]. Acta Geodaetica et Cartographica Sinica, 2000, 29(3): 266-272. (董晓军,黄珹. 利用TOPEX/Poseidon卫星测高资料监测全球海平面变化[J]. 测绘学报, 2000, 29(3): 266-272.) [12] HU Jianguo, LI Jiancheng, DONG Xiaojun. Using Satellite Altimetry Technique for Monitoring the Sea Level Change[J]. Acta Geodaetica et Cartographica Sinica, 2001, 30(4): 316-321. (胡建国,李建成,董晓军. 利用卫星测高技术监测海平面变化[J]. 测绘学报, 2001, 30(4): 316-321.) [13] HWANG C. Inverse Vening Meinesz Formula and Deflection-geoid Formula: Applications to the Predictions of Gravity and Geoid over the South China Sea[J]. Journal of Geodesy, 1998, 72(3): 304-312. [14] YANG Y. Robust Bayesian Estimation[J]. Bulletin Geodesique, 1991, 65(3): 145-150. [15] YANG Y. Robust Estimation for Dependent Observations[J]. Manuscripta Geodeatica, 1994, 19(1): 10-17. [16] LI Jiancheng, NING Jinsheng, CHEN Junyong, et al. Geoid Determination in China Sea Areas[J]. Acta Geodaetica et Cartographica Sinica, 2003, 32(2): 114-119. (李建成, 宁津生, 陈俊勇, 等. 中国海域大地水准面和重力异常的确定[J]. 测绘学报, 2003, 32(2): 114-119.) [17] PENG Fuqing, ZHANG Ruihua, SHI Pan, et al. Marine Geoid from Satellite Altimeter Data[J]. Chinese Journal of Geophysics, 2003, 46(4): 462-466. (彭富清,张瑞华,石磐,等. 基于卫星测高的海域大地水准面[J]. 地球物理学报, 2003, 46(4): 462-466.) [18] ANDERSON O B,KNUDSEN P.Global Marine Gravity Field from the ERS-1 and Geosat Geodetic Mission Altimetry[J]. Journal of Geophysical Research: Ocean, 1998, 103(C4): 8129-8137. [19] SANDWELL D T. Marine Gravity Anomly from Geosat and ERS 1 Satellite Altimetry[J]. Journal of Geophysical Research, 1997, 102(B5): 10039-10054. [20] KAULA W K. Theory of Satellite Geodesy: Applications of Satellites to Geodesy[M]. New York: Dove Publication Inc, 1966.
http://dx.doi.org/10.13485/j.cnki.11-2089.2014.0050

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#### 文章信息

PENG Fuqing,CHEN Shuangjun,JIN Qunfeng.

Influence of Altimetry Errors on Marine Geopotential Recovery

Acta Geodaetica et Cartographica Sinica,2014,43(4):337-340.
http://dx.doi.org/10.13485/j.cnki.11-2089.2014.0050