A general model for compensating remainder dynamic environment effect on marine and airborne gravimetry

doi:10.11947/j.AGCS.2020.20190010

Abstract

Abstract: In view of the fact that there always existing remainder dynamic environment effect on marine and airborne gravimetry, after finishing a detail analysis on the mechanism of creating different kinds of measurement error source and their change characteristic, we propose a general model to compensate the remainder dynamic environment effect, which is suitable for different kinds of marine and airborne gravimeters. Optimum seeking method of general model expression and estimation method of model parameters are studied and discussed. The famous Akaike information criterion based on information theory is suggested to be used in optimum seeking method of general model expression. And a crosscorrelation analysis is used to make the estimation of model parameters. Finally, an optimum general model expression for compensating the remainder dynamic environment effect is determined under previous double restraining condition. An actual marine gravity measurement set is used as a case study to test the validity of the suggested method and model. It is showed that a distinct overall improvement is gained with the approach, the RMS error of crossover discrepancies is reduced from±9.35×10^-5m/s² with the original observed gravity data to±1.01×10^-5m/s² with the corrected data. This result embodies the excellent performance of the new method and model for eliminating high dynamic environment effect on marine and airborne gravimetry.

Key words: marine and airborne gravimetry, dynamic environment effect, model selection, Akaike information criterion, crosscorrelation analysis, error compensation

CLC Number:

P229

HUANG Motao, CHEN Xin, DENG Kailiang, OUYANG Yongzhong, LU Xiuping, WU Taiqi, ZHAI Guojun. A general model for compensating remainder dynamic environment effect on marine and airborne gravimetry[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(2): 135-146.

References

[1] 黄谟涛, 翟国君, 管铮, 等. 海洋重力场测定及其应用[M]. 北京:测绘出版社, 2005. HUANG Motao, ZHAI Guojun, GUAN Zheng, et al. Determination and application of marine gravity field[M]. Beijing:Surveying and Mapping Press, 2005.
[2] 孙中苗. 航空重力测量理论、方法及应用研究[D]. 郑州:信息工程大学, 2004. SUN Zhongmiao. Theory, methods and applications of airborne gravimetry[D]. Zhengzhou:Information Engineering University, 2004.
[3] 欧阳永忠. 海空重力测量数据处理关键技术研究[D]. 武汉:武汉大学, 2013. OUYANG Yongzhong. On key technologies of data processing for air-sea gravity surveys[D]. Wuhan:Wuhan University, 2013.
[4] OLESEN A V. Improved airborne scalar gravimetry for regional gravity field mapping and geoid determination[D]. Copenhagen:University of Copenhagen, 2002.
[5] FERGUSON S T, HAMMADA Y. Experiences with AIRGrav:results from a new airborne gravimeter[C]//Proceedings of IAG International Symposium on Gravity, Geoid and Geodynamics. Berlin:Springer, 2001:211-216.
[6] OLSON D. GT-1A and GT-2A airborne gravimeters:improvements in design, operation, and processing from 2003 to 2010[C]//Proceedings of the ASEG-PESA Airborne Gravity 2010 Workshop. Sydney:[s.n.], 2010.
[7] 张开东. 基于SINS/DGPS的航空重力测量方法研究[D]. 长沙:国防科学技术大学, 2007. ZHANG Kaidong. Research on the methods of airborne gravimetry based on SINS/DGPS[D]. Changsha:National University of Defense Technology, 2007.
[8] LACOSTE L J B. Crosscorrelation method for evaluating and correcting shipboard gravity data[J]. Geophysics, 1973, 38(4):701-709.
[9] 欧阳永忠, 陆秀平, 黄谟涛, 等. L&R海空重力仪测量误差综合补偿方法[J]. 武汉大学学报(信息科学版), 2011, 36(5):625-629. OUYANG Yongzhong, LU Xiuping, HUANG Motao, et al. An integrated method for compensating the systematic errors of marine and airborne measurements from L&R gravimeter[J]. Geomatics and Information Science of Wuhan University, 2011, 36(5):625-629.
[10] 黄谟涛, 刘敏, 孙岚, 等. 海洋重力测量动态环境效应分析与补偿[J]. 海洋测绘, 2015, 35(1):1-6. HUANG Motao, LIU Min, SUN Lan, et al. Compensation and analysis of dynamic environment effect on marine gravimetry[J]. Hydrographic Surveying and Charting, 2015, 35(1):1-6.
[11] 孙中苗, 夏哲仁, 李迎春. LaCoste & Romberg航空重力仪的交叉耦合改正[J]. 武汉大学学报(信息科学版), 2006, 31(10):883-886. SUN Zhongmiao, XIA Zheren, LI Yingchun. Cross-coupling correction for LaCoste & Romberg airborne gravimeter[J]. Geomatics and Information Science of Wuhan University, 2006, 31(10):883-886.
[12] 张涛, 高金耀, 陈美. 利用相关分析法对S型海洋重力仪数据进行分析与改正[J]. 海洋测绘, 2007, 27(2):1-5. ZHANG Tao, GAO Jinyao, CHEN Mei. Analyzing and correcting S model gravimeter's data with correlation analysis method[J]. Hydrographic Surveying and Charting, 2007, 27(2):1-5.
[13] 孙中苗, 翟振和, 肖云, 等. 航空重力测量的系统误差补偿[J]. 地球物理学报, 2013, 56(1):47-52. SUN Zhongmiao, ZHAI Zhenhe, XIAO Yun, et al. Systematic error compensation for airborne gravimetry[J]. Chinese Journal of Geophysics, 2013, 56(1):47-52.
[14] VALLIANT H D, GEYER R A, ASHWEL M. The LaCoste & Romberg air/sea gravity meter:an overview[M]//GEYER R A, ASHWELL M. Handbook of Geophysical Exploration at Sea. Boca Raton, Florida:CRC Press, 1991:141-176.
[15] OLESEN A V, FORSBERG R, KELLER K, et al. Error sources in airborne gravimetry employing a spring-type gravimeter[C]//Proceeding of the International Association of Geodesy Symposia 125, Vistas for Geodesy in the New Millennium. Berlin:Springer, 2002:205-210.
[16] 黄谟涛, 宁津生, 欧阳永忠, 等. 航空重力测量厄特弗斯改正公式注记[J]. 测绘学报, 2015, 44(1):6-12. DOI:10.11947/j.AGCS.2015.20130330. HUANG Motao, NING Jinsheng, OUYANG Yongzhong, et al. Comments on the formulae of Eötvös corrections for airborne gravimetry[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(1):6-12. DOI:10.11947/j.AGCS.2015.20130330.
[17] 孙中苗, 夏哲仁, 王兴涛, 等. LaCoste & Romberg航空重力仪K因子的动态标定及其特性研究[J]. 地球物理学报, 2007, 50(3):724-729. SUN Zhongmiao, XIA Zheren, WANG Xingtao, et al. Dynamic calibration and properties investigation of the K-factor for LaCoste & Romberg airborne gravimeter[J]. Chinese Journal of Geophysics, 2007, 50(3):724-729.
[18] 黄谟涛, 刘敏, 邓凯亮, 等. 利用重复测线校正海空重力仪格值及试验验证[J]. 地球物理学报, 2018, 61(8):3160-3169. HUANG Motao, LIU Min, DENG Kailiang, et al. Test and correction of scale values for air-sea gravimeters using repeated survey lines[J]. Chinese Journal of Geophysics, 2018, 61(8):3160-3169.
[19] 梁星辉, 柳林涛, 吴鹏飞, 等. 顾及误差频谱特性的CHZ重力仪航空应用研究[J]. 测绘学报, 2013, 42(5):633-639. LIANG Xinghui, LIU Lintao, WU Pengfei, et al. Study on CHZ gravimeter applied in airborne gravimetry involving error spectrum characteristic[J]. Acta Geodaetica et Cartographica Sinica, 2013, 42(5):633-639.
[20] 孙中苗, 夏哲仁. FIR低通差分器的设计及其在航空重力测量中的应用[J]. 地球物理学报, 2000, 43(6):850-855. SUN Zhongmiao, XIA Zheren. Design of FIR lowpass differentiator and its applications in airborne gravimetry[J]. Chinese Journal of Geophysics, 2000, 43(6):850-855.
[21] 杨元喜. 卫星导航的不确定性、不确定度与精度若干注记[J]. 测绘学报, 2012, 41(5):646-650. YANG Yuanxi. Some notes on uncertainty, uncertainty measure and accuracy in satellite navigation[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(5):646-650.
[22] LACOSTE L J B. Measurement of gravity at sea and in the air[J]. Reviews of Geophysics, 1967, 5(4):477-526.
[23] BURNHAM K P, ANDERSON D R. Model selection and multimodel inference:a practical information-theoretic approach[M]. 2nd ed. New York:Springer, 2002.
[24] 常国宾. 海洋测量交叉点误差分析(二):系统误差模型的选择[J]. 海洋测绘, 2015, 35(5):1-7. CHANG Guobin. Analysis of crossover errors in marine surveys, part Ⅱ:the selection of systematic error model[J]. Hydrographic Surveying and Charting, 2015, 35(5):1-7.
[25] 李庆海, 陶本藻. 概率统计原理和在测量中的应用[M]. 北京:测绘出版社, 1982. LI Qinghai, TAO Benzao. Introduction to probability and statistics and its applications in surveys[M]. Beijing:Surveying and Mapping Press, 1982.
[26] LUKACS P M, BURNHAM K P, ANDERSON D R. Model selection bias and freedman's paradox[J]. Annals of the Institute of Statistical Mathematics, 2010, 62(1):117-125.
[27] SAKAMOTO Y, ISHIGURO M, KITAGAWA G. Akaike information criterion statistics[M]. Tokyo:KTK Scientific Publishers, 1986.
[28] AKAIKE H. Information theory and an extension of the maximum likelihood principle[C]//PETROV B N, CSAKI F. Proceedings of the 2rd International Symposium on Information Theory. Budapest:Akademiai Kiado, 1973:267-281.
[29] AKAIKE H. A new look at the statistical model identification[J]. IEEE Transactions on Automatic Control, 1974, 19(6):716-723.
[30] AKAIKE H. Likelihood of a model and information criteria[J]. Journal of Econometrics, 1981, 16(1):3-14.
[31] FELUS Y A, FELUS M. On choosing the right coordinate transformation method[C]//Proceedings of FIG Working Week, Surveyors Key Role in Accelerated Development. Eilat, Israel:[s.n.], 2009.
[32] LEHMANN R. Transformation model selection by multiple hypotheses testing[J]. Journal of Geodesy, 2014, 88(12):1117-1130.
[33] GJB 890A-2008海洋重力测量规范[S]. 北京:总装备部军标出版发行部, 2008. GJB 890A-2008 Specification for marine gravity survey[S]. Beijing:Military Standard Press of the Headquarters of General Equipment, 2008.