基于多元线性回归的航空重力梯度测量自身梯度校正

doi:10.13278/j.cnki.jjuese.20190040

吉林大学学报(地球科学版) ›› 2020, Vol. 50 ›› Issue (3): 883-894.doi: 10.13278/j.cnki.jjuese.20190040

基于多元线性回归的航空重力梯度测量自身梯度校正

孙勇¹, 于平¹, 王新月², 黄大年¹

1. 吉林大学地球探测科学与技术学院, 长春 130026;
2. 吉林大学仪器科学与电气工程学院, 长春 130026

收稿日期:2019-03-05 出版日期:2020-05-26 发布日期:2020-05-29
作者简介:孙勇(1988-),男,博士研究生,主要从事航空重磁数据处理研究,E-mail:1139906865@qq.com
基金资助:
吉林省自然科学基金项目（20180101312JC）；国家高技术研究发展计划项目（2014AA06A613）；博士后创新人才支持计划项目（B2017-014）

Correction of Self-Gradient in Airborne Gravity Gradient Measurement Based on Multiple Linear Regression

Sun Yong¹, Yu Ping¹, Wang Xinyue², Huang Danian¹

1. College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China;
2. College of Instrumentation and Electrical Engineering, Jilin University, Changchun 130026, China

Received:2019-03-05 Online:2020-05-26 Published:2020-05-29
Supported by:
Supported by National Science Foundation of Jilin Province (20180101312JC), National High-Tech R & D Program of China (2014AA06A613), and National Postdoctoral Program for Innovative Talents (B2017-014)

摘要/Abstract

摘要： 航空重力梯度勘探中，载体自身产生的重力梯度效应对于超高精度的重力梯度仪而言是一种严重的干扰。由于载体结构复杂，用常规的载体建模并正演难以精确去除这种干扰。本文从统计学角度出发，用多元线性回归来处理自身梯度效应，不需要对载体模型做出任何假设与近似，用纯数据驱动的方式来校正自身梯度的干扰。回归诊断与模型仿真验证了这种校正方式有较高的准确性，并且当实际的转角落在地面标定的范围内时具备预测能力。

关键词: 航空重力梯度, 自身梯度效应, 回归分析

Abstract: The self-gradient effect produced by the vehicle is a serious disturbance to the ultra-high precision of the gravity gradiometer in an airborne gravity gradient survey. Due to the complexity of the vehicle structure, it is difficult to remove these interferences by using conventional modeling and forward calculation accurately. In this article, a multiple linear regression algorithm is used to deal with its own gradient effect, which corrects the interference from the gradient in a pure data-driven way,without making any assumptions or approximations to the vehicle model. Through regression diagnosis and model simulation, this correction method has high accuracy and predictive ability when the actual corner is within the ground calibration range.

Key words: airborne gravity gradient, self-gradient effect, regression analysis

中图分类号:

P631.1

孙勇, 于平, 王新月, 黄大年. 基于多元线性回归的航空重力梯度测量自身梯度校正[J]. 吉林大学学报(地球科学版), 2020, 50(3): 883-894.

Sun Yong, Yu Ping, Wang Xinyue, Huang Danian. Correction of Self-Gradient in Airborne Gravity Gradient Measurement Based on Multiple Linear Regression[J]. Journal of Jilin University(Earth Science Edition), 2020, 50(3): 883-894.

参考文献

[1] Dransfield M, Tiaan L R, Darren B. Airborne Gravimetry and Gravity Gradiometry at Fugro Airborne[C]//Abstracts from the ASEG-PESA Airborne Gravity Workshop. Sydney:[s. n.], 2010:49-57.
[2] Nabighian M N, Ander M E, Grauch V J S. Historical Development of the Gravity Method in Exploration[J]. Geophysics, 2005, 70(6):63-79.
[3] Murphy C A. The Air-FTGTM Airborne Gravity Gradiometer System[C]//Airborne Gravity 2004:Abstracts from the ASEG-PESA Airborne Gravity Workshop. Sydney:[s. n.], 2004:7-13.
[4] Difrancesco D. Advances and Challenges in the Development and Deployment of Gravity Gradiometer Systems[C]//EGM 2007 International Workshop.[S. l.]:European Association of Geoscientists & Engineers, 2007:1-6.
[5] Bell Geospace. Air-FTG® Acquisition and Processing Report Geological Survey of Swede Kiruna Survey, Kiruna, Sweden[R/OL].[2013-11-02]. http://www.bellgeo.com
[6] Bell Geospace. Processing and Acquisition of Air-FTG® Data and Airborne Magnetics Trill Project and Extension Sudbury Basin, Ontario, Canada for Wallbridge Mining Company Limited[R/OL].[2015-03-01].
[7] Marshall M R. An Investigation into the Feasibility of Using a Modern Gravity Gradient Instrument for Passive Aircraft Navigation and Terrain Avoidance[D]. Dayton:Department of the Airforce University, 2009.
[8] 袁圆. 全张量重力梯度仪数据的综合分析与处理解释[D]. 长春:吉林大学,2015. Yuan Yuan. Comprehensive Analysis, Processing and Interpretation of the Full Tensor Gravity Gradient Data[D].Changchun:Jilin University, 2015.
[9] 丁昊,孙晓洁,李海兵. 旋转式重力梯度仪自身梯度补偿研究[J]. 导航与控制,2015,14(2):29-31. Ding Hao, Sun Xiaojie, Li Haibing. Research on Self-Gradient Compensation of Rotating Accelerometer Gravity Gradiomter[J]. Navigation and Control, 2015, 14(2):29-31.
[10] 孙中苗. 航空重力测量理论、方法及应用研究[D].郑州:解放军信息工程大学,2004. Sun Zhongmiao. Throry, Methods and Applications of Airborne Gravimetry[D]. Zhengzhou:Information Engineering University, 2004.
[11] 王泰涵,肖锋,袁园,等. 航空重力梯度测量飞行姿态影响及误差校正[J].世界地质,2014,33(3):680-684. Wang Taihan, Xiao Feng, Yuan Yuan, et al. Impact of Flight Attitude and Error Correction on Airborne Gradiometry[J]. Global Geology, 2014, 33(3):680-684.
[12] Specification of Cessna Caravan N208CC[EB/OL].[2019-01-05].http://cessna.txtav.com/en/turboprop/caravan#cvingspan.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

基于多元线性回归的航空重力梯度测量自身梯度校正

Correction of Self-Gradient in Airborne Gravity Gradient Measurement Based on Multiple Linear Regression

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 4

Metrics

本文评价

推荐阅读 10

[1]	刘海龙, 马小龙, 袁欣, 穆环玲, 冷冰原, 洪梅. 基于多元回归分析的铬污染地下水风险评价方法[J]. 吉林大学学报(地球科学版), 2016, 46(6): 1823-1829.
[2]	朱建伟, 赵刚, 刘博, 郭巍, 成俊. 油页岩测井识别技术及应用[J]. J4, 2012, 42(2): 289-295.
[3]	安鹏程，陈剑平，邱道宏. 偏压连拱隧道围岩稳定性分析与现场监控量测[J]. J4, 2008, 38(2): 285-0289.
[4]	房春生，吕莉莎，钟宇红，张子宜，王菊，董德明，于连贵，刘辉，刘春阳，苏红石，赵静. 典型城市环境空气中总悬浮颗粒物源项分析实例研究[J]. J4, 2007, 37(5): 988-0992.