Test and Analysis of Upward Continuation Models for Earth Surface Gravity with Regard to the Effect of Topographic Height

LIU Min; HUANG Motao; DENG Kailiang; OUYANG Yongzhong; ZHAI Guojun; WU Taiqi

doi:10.13203/j.whugis20150519

Volume 43 Issue 1

Jan. 2018

Turn off MathJax

Article Contents

Abstract

References

Geomatics and Information Science of Wuhan University > 2018 > 43(1): 112-119. > DOI: 10.13203/j.whugis20150519

LIU Min, HUANG Motao, DENG Kailiang, OUYANG Yongzhong, ZHAI Guojun, WU Taiqi. Test and Analysis of Upward Continuation Models for Earth Surface Gravity with Regard to the Effect of Topographic Height[J]. Geomatics and Information Science of Wuhan University, 2018, 43(1): 112-119. DOI: 10.13203/j.whugis20150519

Citation:

PDF (2823 KB)

Test and Analysis of Upward Continuation Models for Earth Surface Gravity with Regard to the Effect of Topographic Height

1.
Institute of Geospacial Information, Information Engineering University, Zhengzhou 450001, China
2.
Institute of Hydrographic Surveying and Charting, Tianjin 300061, China
3.
Mechatronics and Automation School, National University of Defense Technology, Changsha 410073, China

Funds:

The National Natural Science Foundation of China 41474012

The National Natural Science Foundation of China 41374018

the Great Scientific Instrument Development Project of China 2011YQ12004503

the National Basic Research Program of China 613219

More Information

Author Bio:
LIU Min, PhD candidate, specialize in marine gravity field theory and applications. E-mail: Ouyangyz@sohu.com
Corresponding author:
DENG Kailiang, PhD. E-mail:dengkailiang036@163.com
Received Date: April 16, 2016
Published Date: January 04, 2018

Graphical Abstract

Abstract

Abstract

Upward continuation plays an important role in approximation of the external gravity field of the earth and in accuracy evaluation of airborne gravity data. This paper reviews the available models for upward continuation including approximate spherical solution and rigorous formulas, and makes a comprehensive comparison and analysis of their properties as well as the applicability of different models. The Ultra-high-degree geopotential model and point mass methods are suggested to be used for the realization of "downward continuation comes before upward" procedure combining the remove-restore technique, paying attention to the stability of the downward continuation solution before the upward continuation. Real numerical computations were carried out to evaluate the effects of topographic height on upward continuations. The performance of different models with regard to the effect of topographic height were compared and analyzed. The accuracy of the upward continuation model was estimated. Some useful conclusions are obtained. in rugged mountainous areas, the maximum rms value of terrain effect on upward continuation can reach several tens mGal(10^-5m/s²). Even if the continuation height is greater than 10 km, the effect of topographic height on upward continuation can exceed 3 mGal. The accuracy of upward continuation model was estimated to be about±1 mGal. The modified Poisson integral model, in which the downward continuation is accomplished using a ultra-high-degree geopotential model and terrain information, is therefore recommended for upward continuation due to its simple computation procedure, high stability, and reliability.
- gravimetry,
- upward and downward continuation,
- terrain effect,
- remove-restore technique,
- ultra-high-degree geopotential model,
- point masses model

FullText(HTML)

References (25)

References

[1]	Moritz H. The Computation of the External GravityField and the Geodetic Boundary-Value Problem[M]//Moritz H. Extension of Gravity Anomalies to Unsurveyed Areas. Washington DC, USA: American Geophysical Union, 1966
[2]	Heiskanen W A, Moritz H. Physical Geodesy[M].San Francisco, USA:Freeman W H and Company, 1967
[3]	宁津生, 黄谟涛, 欧阳永忠, 等.海空重力测量技术进展[J].海洋测绘, 2014, 34(3):67-72 http://www.cqvip.com/QK/87147X/201403/49843916.html Ning Jinsheng, Huang Motao, Ouyang Yongzhong, et al. Development of Marine and Airborne Gravity Measurement Technologies[J].Hydrographic Surveying and Charting, 2014, 34(3):67-72 http://www.cqvip.com/QK/87147X/201403/49843916.html
[4]	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 http://www.wenkuxiazai.com/doc/ccf61d8fcc7931b764ce1528.html Ouyang Yongzhong, Deng Kailiang, Lu Xiuping, et al. Test of Multi-type Gravimeters and Analysis[J]. Hydrographic Surveying and Charting, 2013, 33(4):6-11 http://www.wenkuxiazai.com/doc/ccf61d8fcc7931b764ce1528.html
[5]	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 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dkxbydz201202006 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 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dkxbydz201202006
[6]	黄谟涛, 欧阳永忠, 翟国君, 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 http://ch.whu.edu.cn/CN/abstract/abstract3085.shtml Huang Motao, Ouyang Yongzhong, Zhai Guojun, 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 http://ch.whu.edu.cn/CN/abstract/abstract3085.shtml
[7]	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 http://www.oalib.com/paper/4872013 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 http://www.oalib.com/paper/4872013
[8]	Tziavos I N, Andritsanos V D, Forsberg R, et al. Numerical Investigation of Downward Continuation Methods for Airborne Gravity Data[M]//Jekeli C, Bastos L, Fernandes J. Gravity, Geoid and Space Missions(GGSM). Berlin, Germany: Springer, 2005, 119-124
[9]	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 http://ch.whu.edu.cn/CN/abstract/abstract636.shtml 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 http://ch.whu.edu.cn/CN/abstract/abstract636.shtml
[10]	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 Geophysical Research, 2007, 112(B4):93-101 doi: 10.1029/2005JB004220/full
[11]	翟振和, 孙中苗, 李迎春, 等.航空重力测量在近海区域的精度评估与分析[J].测绘学报, 2015, 44(1):1-5 doi: 10.11947/j.AGCS.2015.20130783 Zhai Zhenhe, Sun Zhongmiao, Li Yingchun, et al. The Accuracy Evaluation and Analysis of Airborne Gravimetry in Coastal Area[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(1):1-5 doi: 10.11947/j.AGCS.2015.20130783
[12]	Cruz J Y, Laskowski P. Upward Continuation of Surface Gravity Anomalies[M]. Ohio, USA:The Ohio State University, 1984
[13]	Argeseanu V S. Upward Continuation of Surface Gravity Anomaly Data[M]//Schwarz K P, Brozena J M, Hein G W. Proceedings of the IAG Symposium on Airborne Gravity Field Determination, New York, USA: Springer, 1995, 95-102
[14]	Kern M. An Analysis of the Combination and Downward Continuation of Satellite, Airborne and Terrestrial Gravity Data[D]. Calgary, Canada: University of Calgary, 2003
[15]	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 http://www.cnki.com.cn/Article/CJFDTOTAL-CHXB504.007.htm Shi Pan, Wang Xingtao. Determination of Terrain Surface Gravity Field Using Airborne Gravimetry and DEM[J]. Acta Geodaetica et Cartographica Sinica, 1997, 26(2):117-121 http://www.cnki.com.cn/Article/CJFDTOTAL-CHXB504.007.htm
[16]	翟振和, 李超, 李红娜.空中重力测量数据代表地面数据的误差分析[J].海洋测绘, 2012, 32(2):1-3 http://www.cqvip.com/QK/87147X/201202/41492742.html Zhai Zhenhe, Li Chao, Li Hongna. The Erorr Analysis of Land Gravity Data Represented by Airborne Gravimetry Data[J]. Hydrographic Surveying and Charting, 2012, 32(2):1-3 http://www.cqvip.com/QK/87147X/201202/41492742.html
[17]	Forsberg R, Olesen A V. Airborne Gravity Field Determination[M]//Guochang X. Sciences of Geodesy-I. Berlin, Germany: Springer-Verlag, 2010, 83-103
[18]	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 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
[19]	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. The Determination and Application of Marine Gravity Field[M]. Beijing:Surveying and Mapping Press, 2005
[20]	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 http://www.cnki.com.cn/Article/CJFDTotal-CHKD201508007.htm 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 http://www.cnki.com.cn/Article/CJFDTotal-CHKD201508007.htm
[21]	Pavliss N K, Holmes S A, Kenyon S C, et al. The Development and Evaluation of the Earth Gravitational Model 2008(EGM2008)[J]. Journal Geophysical Research, 2012, 117(B4):531-535 http://adsabs.harvard.edu/abs/2012JGRB..117.4406P
[22]	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 http://industry.wanfangdata.com.cn/jt/Detail/Periodical?id=Periodical_chxb200904001 Zhang Chuanyin, Guo Chunxi, Chen Junyong, etal.EGM2008 and Its Application Analysis in Chinese Mainland[J]. Acta Geodaetica et Cartographica Sinica, 2009, 38(4):283-289 http://industry.wanfangdata.com.cn/jt/Detail/Periodical?id=Periodical_chxb200904001
[23]	黄谟涛, 宁津生, 欧阳永忠, 等.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 Huang Motao, Ning Jinsheng, Ouyang Yongzhong, et al. Downward Continuation of Airborne Gravimetry on Land Using Geopotential Model and Terrain Information[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(4):355-362 doi: 10.11947/j.AGCS.2015.20130751
[24]	黄谟涛, 欧阳永忠, 刘敏, 等.融合海域多源重力数据的正则化点质量方法[J].武汉大学学报·信息科学版, 2015, 40(2):170-175 http://ch.whu.edu.cn/CN/abstract/abstract3180.shtml Huang Motao, Ouyang Yongzhong, Liu Min, et al. Regularization of Point-Mass Model for Multi-Source Gravity Data Fusion Processing[J]. Geomatics and Information Science of Wuhan University, 2015, 40(2):170-175 http://ch.whu.edu.cn/CN/abstract/abstract3180.shtml
[25]	申文斌, 鄢建国, 晁定波.重力场的局部虚拟向下延拓以及利用EGM96模型的模拟实验检验[J].武汉大学学报·信息科学版, 2006, 31(7):589-593 http://ch.whu.edu.cn/CN/abstract/abstract2495.shtml Shen Wenbin, Yan Jianguo, Chao Dingbo. Local Fictitious Downward Continuation of Gravity Field and Simulation Experiment Tests Using EGM96 Model[J]. Geomatics and Information Science of Wuhan University, 2006, 31(7):589-593 http://ch.whu.edu.cn/CN/abstract/abstract2495.shtml

[1]	LONG En, LÜ Shouye, QU Xiaofei, MENG Gang, LAI Guangling, YANG Yuke. Height Inversion Model of Oil Tank Using Satellite Imagery with Same Name Arc Distance[J]. Geomatics and Information Science of Wuhan University, 2024, 49(3): 411-418. DOI: 10.13203/j.whugis20210239
[2]	LÜ Pinji, LI Zhengyuan, SUN Lingli, LIN Jun, TANG Lei, NI Yipeng. Analysis of Impact of the Tonga Volcanic Eruption in 2022 on the Strain Observation of Chinese Mainland[J]. Geomatics and Information Science of Wuhan University, 2022, 47(6): 927-933. DOI: 10.13203/j.whugis20220174
[3]	LEI Xiangxu, SANG Jizhang, LI Zhenwei, CHEN Junyu, DU Jianli, HE Donglei. Association of Very-Short-Arc Angles Data for LEO Space Objects[J]. Geomatics and Information Science of Wuhan University, 2020, 45(10): 1526-1532. DOI: 10.13203/j.whugis20180386
[4]	LOU Yidong, YAO Xiuguang, LIU Yang, ZHENG Fu. Impact of Ambiguity Resolution and Arc Length on Regional Precise Orbit Determination[J]. Geomatics and Information Science of Wuhan University, 2016, 41(2): 249-254. DOI: 10.13203/j.whugis20140201
[5]	LIU Xiaoxia, JIANG Zaisen, WU Yanqiang. The Applicability of Kriging Interpolation Method in GPSVelocity Gridding and Strain Calculating[J]. Geomatics and Information Science of Wuhan University, 2014, 39(4): 457-461. DOI: 10.13203/j.whugis20120086
[6]	WU Yanqiang, JIANG Zaisen, YANG Guohua, FANG Ying. Application and Method of GPS Strain Calculating in Whole Mode Using Multi-Surface Function[J]. Geomatics and Information Science of Wuhan University, 2009, 34(9): 1085-1089.
[7]	DING Kaihua, XU Cajjun. Current Crustal Strain Field in the Sichuan-Yunnan Area by Joint Inversion of GPS and Seismic Moment Tensor[J]. Geomatics and Information Science of Wuhan University, 2009, 34(3): 265-268.
[8]	ZHU Xinhui, SUN Fuping, QIN Yong. Establishment of Plate Motion Model by the Integrated Data of GPS and VLBI[J]. Geomatics and Information Science of Wuhan University, 2005, 30(7): 604-608.
[9]	DU Ruilin, QIAO Xuejun, YANG Shaomin, WANG Qi. Results of the Crustal Deformation by GPS Survey and Horizontal Strain Rate Fields in the Three Gorges Area[J]. Geomatics and Information Science of Wuhan University, 2004, 29(9): 768-771.
[10]	Zhang Zuxun, Bao Xiuzhi, Cao Hui. Arc Spline and Arclet Processing[J]. Geomatics and Information Science of Wuhan University, 1994, 19(3): 189-193.

Cited By

Cited by

Periodical cited type(5)

1.	黄少华，万永革，冯淦，李枭，关兆萱. 2022年9月17日中国台湾地震序列的触发机制及其动力学成因. 地质力学学报. 2023(05): 674-684 .
2.	李之诺，卢佳遇，高锐，陈致同. 斜向聚合及弧后伸展作用对台湾北部-琉球地区的构造影响——砂箱模型实验的启示. 地球学报. 2022(05): 609-615 .
3.	李建涛，刚慧龙. 基于ITRF14框架的URCORS坐标分析. 工程勘察. 2022(10): 62-66 .
4.	高源，瞿伟，张勤，王庆良，郝明. GNSS揭示的汾渭盆地及周缘现今地壳运动与应变差异. 武汉大学学报(信息科学版). 2021(07): 1063-1070+1113 .
5.	徐良叶，邵德盛，吴学群，牛甜. 最小二乘配置的云南区域形变与应变特征研究. 测绘科学. 2021(12): 16-23+74 .

Other cited types(4)

Get Citation

PDF

XML

Article views (1252) PDF downloads (273) Cited by(9)

Test and Analysis of Upward Continuation Models for Earth Surface Gravity with Regard to the Effect of Topographic Height

Abstract

References

Related Articles

Cited by

Periodical cited type(5)

Other cited types(4)

Catalog

Related

Test and Analysis of Upward Continuation Models for Earth Surface Gravity with Regard to the Effect of Topographic Height

Abstract

References

Related Articles

Cited by

Periodical cited type(5)

Other cited types(4)

Catalog

Related

Export File

Citation

Format

Content