[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]
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全张量重力梯度仪测量方程及误差分析()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
40
期数:
2010年第3期
页码:
517-521
栏目:
仪器科学与技术
出版日期:
2010-05-20

文章信息/Info

Title:
Measurement equations and error analysis of full tensor gravity gradiometer
作者:
李海兵 蔡体菁
东南大学仪器科学与工程学院, 南京 210096
Author(s):
Li Haibing Cai Tijing
School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China
关键词:
全张量重力梯度仪 加速度计 误差分析
Keywords:
full tensor gravity gradiometer accelerometer error analysis
分类号:
U666.1
DOI:
10.3969/j.issn.1001-0505.2010.03.016
摘要:
为了研究加速度计性能与全张量重力梯度仪测量精度之间的关系,从全张量重力梯度仪的测量原理出发,建立了重力梯度仪的测量方程,并根据坐标变换矩阵得到测量坐标系和惯性平台坐标系下全张量重力梯度仪的输出表达式.根据加速度计的输入输出数学模型,给出了包含加速度计性能参数的输出方程,并分析了加速度计性能对全张量重力梯度仪测量精度的影响.理论分析结果表明,当旋转圆盘中心存在加速度时,加速度计的零位偏置、标度系数的非一致性以及二阶非线性系数均产生重力梯度测量误差.通过采用高精度加速度计、高精度稳定平台及标度系数在线自动补偿技术,可以提高重力梯度仪的测量精度.
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:

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备注/Memo

备注/Memo:
作者简介: 李海兵(1979—),男,博士生; 蔡体菁(联系人),男,博士,教授,博士生导师,caitij@seu.edu.cn.
基金项目: 国家高技术研究发展计划(863计划)资助项目(2006AA12Z302).
引文格式: 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]
更新日期/Last Update: 2010-05-20