# [1]李海兵,蔡体菁.全张量重力梯度仪测量方程及误差分析[J].东南大学学报(自然科学版),2010,40(3):517-521.[doi:10.3969/j.issn.1001-0505.2010.03.016] 　Li Haibing,Cai Tijing.Measurement equations and error analysis of full tensor gravity gradiometer[J].Journal of Southeast University (Natural Science Edition),2010,40(3):517-521.[doi:10.3969/j.issn.1001-0505.2010.03.016] 点击复制 全张量重力梯度仪测量方程及误差分析() 分享到： var jiathis_config = { data_track_clickback: true };

40

2010年第3期

517-521

2010-05-20

## 文章信息/Info

Title:
Measurement equations and error analysis of full tensor gravity gradiometer

Author(s):
School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China

Keywords:

U666.1
DOI:
10.3969/j.issn.1001-0505.2010.03.016

Abstract:
To study the relationship between the accelerometer performance and the measurement precision of a full tensor gravity gradiometer, measurement equations are derived according to the measurement principle of full tensor gravity gradiometers. The output expressions of the full tensor gravity gradiometer in a measuring coordinate system and in an inertial platform coordinate system are obtained, respectively, according to the coordinate transformation matrix. According to the input-output mathematical model of the accelerometer, the output equation including accelerometer performance parameters is presented, and the influence of the accelerometer performance on the measurement precision of the gravity gradiometer is analyzed. The theoretical analysis results show that when the rotating disc center is in acceleration, the accelerometer bias, scale-factor inconsistency and second order nonlinear terms result in the measurement errors of the gravity gradiometer. The measurement precision of the gravity gradiometer can be improved by using a high precision accelerometer, a high precision stable platform and a scale-factor online automatic compensation technique.

## 参考文献/References:

[1] 蔡体菁,周百令.重力梯度仪的现状和前景[J].中国惯性技术学报,1999,7(1):39-42.
Cai Tijing,Zhou Bailing.Status and prospects of gravity gradiometers[J].Journal of Chinese Inertial Technology,1999,7(1):39-42.(in Chinese)
[2] Jekeli C.Airborne Gradiometry error analysis[J]. Surveys in Geophysics,2006,27(2):257-275.
[3] Lee J B.Falcon gravity gradiometer technology [J]. Exploration Geophysics,2001,32(4):247-250.
[4] Dransfield M H,Lee J B.The FALCON airborne gravity gradiometer systems[C] //ASEG-PESA Airborne Gravity 2004 Workshop.Sydney,Australia,2004:15-20.
[5] Hatch D.Evaluation of a full tensor gravity gradiometer for kimberlite exploration[C] //ASEG-PESA Airborne Gravity 2004 Workshop.Sydney,Australia,2004:73-80.
[6] Murphy C A.The Air-FTGTM airborne gravity gradiometer system[C] //ASEG-PESA Airborne Gravity 2004 Workshop.Sydney,Australia,2004:7-14.
[7] Vankann F J,Winterflood J.Gravity gradiometer:US,WO2008/061284A1 [P].2008-05-29.
[8] Brett J,Brewster J.Accelerometer and rate sensor package for gravity gradiometer instruments:US,WO2006/073496A1 [P].2006-07-13.
[9] Justin A R.Gravity gradiometer aided inertial navigation within non-GNSS environments [D].College Park,MD,USA:University of Maryland,2008.
[10] 李海兵,蔡体菁.旋转加速度计重力梯度仪误差分析[J].中国惯性技术学报,2009,17(5):525-528.
Li Haibing,Cai Tijing.Error analysis on gravity gradiometer of rotating accelerometer[J].Journal of Chinese Inertial Technology,2009,17(5):525-528.(in Chinese)
[11] 杨功流,刘洋希,李晓平.重力梯度仪加速度计控制回路分析与设计[J].中国惯性技术学报,2009,17(2):145-147,152.
Yang Gongliu,Liu Yangxi,Li Xiaoping.Analysis and design on control loops of gravity gradiometer accelerometer[J].Journal of Chinese Inertial Technology,2009,17(2):145-147,152.(in Chinese)
[12] Metzger E H.Recent gravity gradiometer developments [C] //AIAA Guidance and Control Specialist Conference.Hollywood,CA,USA,1977,1801:306-315.

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