联合使用位模型和地形信息的陆区航空重力向下延拓方法

黄谟涛; 宁津生; 欧阳永忠; 邓凯亮; 翟国君; 陆秀平; 吴太旗

doi:10.11947/j.AGCS.2015.20130751

测绘学报 >

2015 , Vol. 44 >Issue 4: 355 - 362

DOI: https://doi.org/10.11947/j.AGCS.2015.20130751

大地测量学与导航

联合使用位模型和地形信息的陆区航空重力向下延拓方法

黄谟涛 ,
宁津生 ,
欧阳永忠 ,
邓凯亮 ,
翟国君 ,
陆秀平 ,
吴太旗

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1. 海军海洋测绘研究所, 天津 300061;
2. 海军工程大学导航工程系, 湖北武汉 430033;
3. 武汉大学测绘学院, 湖北武汉 430079

黄谟涛(1961—),男,博士生导师,研究方向为海洋重力场测定理论方法.E-mail:ouyangyz@sohu.com

收稿日期: 2014-01-01

修回日期: 2014-12-31

网络出版日期: 2015-04-27

基金资助

国家973计划(613219);国家自然科学基金(41474012;41174062;41374018);国家重大科学仪器设备开发专项(2011YQ12004503)

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Downward Continuation of Airborne Gravimetry on Land Using Geopotential Model and Terrain Information

HUANG Motao ,
NING Jinsheng ,
OUYANG Yongzhong ,
DENG Kailiang ,
ZHAI Guojun ,
LU Xiuping ,
WU Taiqi

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1. Naval Institute of Hydrographic Surveying and Charting, Tianjin 300061, China;
2. Department of Navigation, Naval University of Engineering, Wuhan 430033, China;
3. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China

Received date: 2014-01-01

Revised date: 2014-12-31

Online published: 2015-04-27

Supported by

The National Basic Research Program of China(973 Program)(No.613219);The National Natural Science Foundation of China(Nos.41474012;41174062;41374018);The Great Scientific Instrument Development Project of China(No.2011YQ12004503)

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摘要

为了规避传统逆Poisson积分向下延拓解算过程的不适定性问题,借鉴导航定位中的“差分”概念,利用超高阶位模型直接计算海域航空重力测量向下延拓改正数的方法.本文在此基础上提出联合使用重力位模型和地形高数据,计算陆部航空重力向下延拓总改正数的改进方案,以飞行高度面与地面对应点的位模型差分信息表征总改正数的中长波分量,以相对应的局部地形改正差分修正量表征总改正数的中高频成分,从而实现航空重力数据点对点向地面的全频段延拓.在地形变化不同区域,联合使用EGM2008位模型、地面实测重力和高分辨率高程数据进行了实际数值计算和精度评估,验证了该方法的有效性.

关键词： 航空重力测量; 向下延拓; EGM2008位模型; 数字高程模型(DEM); 局部地形改正

本文引用格式

黄谟涛 , 宁津生 , 欧阳永忠 , 邓凯亮 , 翟国君 , 陆秀平 , 吴太旗 . 联合使用位模型和地形信息的陆区航空重力向下延拓方法[J]. 测绘学报, 2015 , 44(4) : 355 -362 . DOI: 10.11947/j.AGCS.2015.20130751

Abstract

In order to evade the ill-posedness of downward continuation for airborne gravity data using traditional inverse Poisson integral, in a recent published article,a practical downward continuation method of airborne gravity data was used for the sea surveying areas using the differential conception in navigation and location for reference, in which the continuation corrections are calculated using ultra-high-degree geopotential model. In this paper, we continue using the same idea and develop the method to the application for land surveying areas. It suggests that terrain Information can be used to improve the calculated accuracy of continuation correction from geopotential model. The differential of local topographic corrections on flying height and corresponding ground point is added to the continuation correction from geopotential model, and it makes up the total continuation correction. It is ultimately realized to continue airborne gravity measurements to the ground in full frequency extension. EGM2008 geopotential model, ground gravity data and digital elevation model in high resolution are used as a case study to prove the efficiency of the new method.

Key words： airborne gravimetry; downward continuation; EGM2008 geopotential model; digital elevation model(DEM); local topographic correction

参考文献

[1] MUELLER F, MAYER-GUERR T. Comparison of Downward Continuation Methods of Airborne Gravimetry Data[C]//International Association of Geodesy Symposia Volume 128: A Window on the Future of Geodesy. Berlin: Springer, 2003: 254-258.
[2] TZIAVOS I N, ANDRITSANOS V D, FORSBERG R, et al. Numerical Investigation of Downward Continuation Methods for Airborne Gravity Data[C]//International Association of Geodesy Symposia Volume 129: Gravity, Geoid and Space Missions. Berlin: Springer, 2005: 119-124.
[3] WANG Xingtao, XIA Zheren, SHI Pan, et al. A Comparison of Different Downward Continuation Methods for Airborne Gravity Data[J]. Chinese Journal of Geophysics, 2004, 47(6): 1017-1022. (王兴涛, 夏哲仁, 石磐, 等. 航空重力测量数据向下延拓方法比较[J]. 地球物理学报, 2004, 47(6): 1017-1022.)
[4] HEISKANEN W A, MORITZ H. Physical Geodesy[M]. San Francisco: Freeman W H and Company, 1967.
[5] MORITZ H. Advanced Physical Geodesy[M]. Karlsruhe: Herbert Wichmann Verlag, 1980.
[6] JEKELI C. The Downward Continuation of Aerial Gravimetric Data without Density Hypothesis [J]. Bulletin Géodésique, 1987, 61(4): 319-329.
[7] SHI Pan, WANG Xingtao. The Frequence Domain Analysis for the Determination of Terrestrial Mean Gravity Anomaly Using Airborne Gravimetry[J]. Acta Geodaetica et Cartographica Sinica, 1995, 24(4): 301-308. (石磐, 王兴涛. 空中测量地面平均重力异常的频域分析[J]. 测绘学报, 1995, 24(4): 301-308.)
[8] SHI Pan, WANG Xingtao. Determination of the Terrain Surface Gravity Field Using Airborne Gravimetry and DEM[J]. Acta Geodaetica et Cartographica Sinica, 1997, 26(2): 117-121. (石磐, 王兴涛. 利用航空重力测量和DEM确定地面重力场[J]. 测绘学报, 1997, 26(2): 117-121.)
[9] SHI Pan, SUN Zhongmiao. The Solution to the Problem of the Spherical Interior Dirichlet and Its Application[J]. Acta Geodaetica et Cartographica Sinica, 1999, 28(3): 195-198. (石磐, 孙中苗. 球内Dirichlet问题解及其应用[J]. 测绘学报, 1999, 28(3): 195-198.)
[10] KELLER W, HIRSCH M. Downward Continuation versus Free-air Reduction in Airborne Gravimetry [C]//International Association of Geodesy Symposium Volume 112: Geodesy and Physics of the Earth. Heidelberg, Berlin: Springer Verlag, 1992, 266-270.
[11] WANG Yanfei. Computational Methods for Inverse Problems and Their Applications[M]. Beijing: Higher Education Press, 2007. (王彦飞. 反演问题的计算方法及其应用[M]. 北京: 高等教育出版社, 2007.)
[12] KERN M. An Analysis of the Combination and Downward Continuation of Satellite, Airborne and Terrestrial Gravity Data [D]. Calgary: University of Calgary, 2003.
[13] HWANG C, HSIAO Y S, SHIH H C, et al. Geodetic and Geophysical Results from a Taiwan Airborne Gravity Survey: Data Reduction and Accuracy Assessment [J]. Journal of Geophysical Research, 2007, 112(B4), DOI: 10.1029/2005JB004220.
[14] ALBERTS B. Regional Gravity Field Modeling Using Airborne Gravimetry Data[C]//Publications on Geodesy 70. Delft: Netherlands Geodetic Commission, 2009.
[15] WANG Xingtao, SHI Pan, ZHU Feizhou. Regularization Methods and Spectral Decomposition for the Downward Continuation of Airborne Gravity Data[J]. Acta Geodaetica et Cartographica Sinica, 2004, 33(1): 33-38. (王兴涛, 石磐, 朱非洲. 航空重力测量数据向下延拓的正则化算法及其谱分解[J]. 测绘学报, 2004, 33(1): 33-38.)
[16] GU Yongwei, GUI Qingming. Study of Regularization Based on Signal-to-noise Index in Airborne Gravity Downward to the Earth Surface[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(5): 458-464. (顾勇为, 归庆明. 航空重力测量数据向下延拓基于信噪比的正则化方法的研究[J]. 测绘学报, 2010, 39(5): 458-464.)
[17] JIANG Tao, LI Jiancheng, WANG Zhengtao, et al. Solution of Ill-posed Problem in Downward Continuation of Airborne Gravity[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(6): 684-689. (蒋涛, 李建成, 王正涛, 等. 航空重力向下延拓病态问题的求解[J]. 测绘学报, 2011, 40(6): 684-689.)
[18] DENG Kailiang, HUANG Motao, BAO Jingyang, et al. Tikhonov Two-parameter Regulation Algorithm in Downward Continuation of Airborne Gravity Data[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(6): 690-696. (邓凯亮, 黄谟涛, 暴景阳, 等. 向下延拓航空重力数据的Tikhonov双参数正则化法[J]. 测绘学报, 2011, 40(6): 690-696.)
[19] WU Taiqi, DENG Kailiang, HUANG Motao, et al. An Improved Singular Values Decomposition Method for Ill-posed Problem[J]. Geomatics and Information Science of Wuhan University, 2011, 36(8): 900-903. (吴太旗, 邓凯亮, 黄谟涛, 等. 一种改进的不适定问题奇异值分解法[J]. 武汉大学学报: 信息科学版, 2011, 36(8): 900-903.)
[20] HUANG Motao, OUYANG Yongzhong, LIU Min, et al. Practical Methods for the Downward Continuation of Airborne Gravity Data in the Sea Area[J]. Geomatics and Information Science of Wuhan University, 2014, 39(10): 1147-1152. (黄谟涛, 欧阳永忠, 刘敏, 等. 海域航空重力测量数据向下延拓的实用方法[J]. 武汉大学学报: 信息科学版, 2014, 39(10): 1147-1152.)
[21] PAVLIS N K, HOLMES S A, KENYON S C, et al. The Development and Evaluation of the Earth Gravitational Model 2008 (EGM2008)[J]. Journal of Geophysical Research, 2012, 117(B4), DOI: 10.1029/2011JB008916.
[22] ZHANG Chuanyin, GUO Chunxi, CHEN Junyong, et al. EGM 2008 and Its Application Analysis in Chinese Mainland[J]. Acta Geodaetica et Cartographica Sinica, 2009, 38(4): 283-289. (章传银, 郭春喜, 陈俊勇, 等. EGM2008地球重力场模型在中国大陆适用性分析[J]. 测绘学报, 2009, 38(4): 283-289.)
[23] SUN Zhongmiao, ZHAI Zhenhe, LI Yingchun, et al. Concurrent Flight Test of LaCoste & Romberg (LCR) Airborne Gravimeter Ⅱ and Ⅰ System [J]. Journal of Geodesy and Geodynamics, 2012, 32(2): 24-27. (孙中苗, 翟振和, 李迎春, 等. LCRⅡ型和Ⅰ型航空重力仪的同机飞行试验[J]. 大地测量与地球动力学, 2012, 32(2): 24-27.)
[24] OUYANG Yongzhong, DENG Kailiang, LU Xiuping, et al. Tests of Multi-type Airborne Gravimeters and Data Analysis[J]. Hydrographic Surveying and Charting, 2013, 33(4): 6-11. (欧阳永忠, 邓凯亮, 陆秀平, 等. 多型航空重力仪同机测试及其数据分析[J]. 海洋测绘, 2013, 33(4): 6-11.)
[25] LI Jiancheng, CHEN Junyong, NING Jinsheng, et al. Theory of the Earth's Gravity Field Approximation and Determination of China Quasi-geoid 2000[M]. Wuhan: Wuhan University Press, 2003. (李建成, 陈俊勇, 宁津生, 等. 地球重力场逼近理论与中国2000似大地水准面的确定[M]. 武汉: 武汉大学出版社, 2003.)
[26] ZHANG Chuanyin, CHAO Dingbo, DING Jian, et al. Precision Topographical Effects for any Kond of Field Quantities for any Altitude[J]. Acta Geodaetica et Cartographica Sinica, 2009, 38(1): 28-34. (章传银, 晁定波, 丁剑, 等. 球近似下地球外空间任意类型场元的地形影响[J]. 测绘学报, 2009, 38(1): 28-34.)
[27] HUANG Motao, ZHAI Guojun, GUAN Zheng, et al. The Determination and Application of Marine Gravity Field[M]. Beijing: Surveying and Mapping Press, 2005. (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.)
[28] HEADQUARTERS OF GENERAL EQUIPMENT OF PLA. GJB 6561—2008, Rules for Operations of Airborne Gravimetry[S]. Beijing: Military Standard Press of the Headquarters of General Equipment, 2008. (中国人民解放军总装备部. GJB 6561—2008, 航空重力测量作业规范[S]. 北京: 总装备部, 2008.)

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