采用重力异常的导纳理论推估海底地形

doi:10.11947/j.AGCS.2015.20140427

测绘学报 ›› 2015, Vol. 44 ›› Issue (10): 1092-1099.doi: 10.11947/j.AGCS.2015.20140427

采用重力异常的导纳理论推估海底地形

欧阳明达^1,2,3,4, 孙中苗^3,4, 翟振和^3,4, 刘晓刚^3,4

1. 西安测绘总站, 陕西西安 710054;
2. 信息工程大学地理空间信息学院, 河南郑州 450001;
3. 西安测绘研究所, 陕西西安 710054;
4. 地理信息工程国家重点实验室, 陕西西安 710054

收稿日期:2014-08-19 修回日期:2015-03-08 出版日期:2015-10-20 发布日期:2015-10-23
作者简介:欧阳明达(1986—),男,硕士生,研究方向为物理大地测量.E-mail:oymd6666@163.com
基金资助:
国家自然科学基金(41174017;41304022);宇航动力学国家重点实验室开放基金(2013ADL-DW0103)

Bathymetry Prediction Based on the Admittance Theory of Gravity Anomalies

OUYANG Mingda^1,2,3,4, SUN Zhongmiao^3,4, ZHAI Zhenhe^3,4, LIU Xiaogang^3,4

1. Technical Division of Surveying and Mapping, Xi'an 710054, China;
2. Institute of Geospatial Information, Information Engineering University, Zhengzhou 450001, China;
3. Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China;
4. Stake Key Laboratory of Geo-information Engineering, Xi'an 710054, China

Received:2014-08-19 Revised:2015-03-08 Online:2015-10-20 Published:2015-10-23
Supported by:
The National Natural Science Foundation of China(Nos.41174017,41304022),State Key Laboratory of Aerospace Dynamics Open Fund(No. 2013ADL-DW0103)

摘要/Abstract

摘要： 系统探讨了采用重力异常的导纳理论推估海底地形的方法.在频率域内对海底地形和重力异常的相关性进行了分析,确定在20～300 km波段内两者相关系数最高,适合通过重力异常反演.以皇帝海山链为例,分别采用未补偿导纳模型和顾及挠曲补偿的导纳模型开展研究,其中涉及的地壳厚度和有效弹性厚度等参数通过均衡响应函数法得到.引入余弦低通滤波器,有效地解决了向下延拓过程中产生的高频震荡问题.算例结果表明,采用重力异常的导纳理论能够有效地反演海底地形,结果真实可靠,反演模型的相对精度在6%左右,与ETOPO1模型相当,且能够刻画出ETOPO1模型中未显现的地形细节.由于地形变化剧烈,反演模型在海山链沿线附近精度不甚理想.

关键词: 重力地形导纳, 海底地形, 重力异常, 均衡理论

Abstract: Based on the admittance theory of gravity anomalies, the method of bathymetry prediction was studied in detail in this paper. In frequency domains, the correlation between gravity anomalies and bathymetry was analyzed, which suggests that the wavelength band correlated strongly was in a range of 20—300 km, this band was appropriated to inverse bathymetry by gravity anomalies. Took the Emperor Chain as an example, the uncompensated admittance model and flexural isostatic admittance model were used for researching, respectively, the included parameter of crust thickness and effective elastic thickness were calculated by the isostatic response function. As the down continuation factor was unstable, a high-cut filter was proposed in the inversion procedure to ensure convergence of series. The results showed that, the admittance theory of gravity anomalies can be used effectively in the bathymetry prediction, the predicted result was real and reliable, the relative precision was approximately 6%, which was equal to ETOPO1 model, and the detailed feature of sea floor which was not showed in ETOPO1 model can also be depicted; the precisions were not so well in areas of ocean mountains intensively distributed because of the complexion of the sea floor.

Key words: gravity topography admittance, bathymetry, gravity anomalies, isostatic theory

中图分类号:

P228

欧阳明达, 孙中苗, 翟振和, 刘晓刚. 采用重力异常的导纳理论推估海底地形[J]. 测绘学报, 2015, 44(10): 1092-1099.

OUYANG Mingda, SUN Zhongmiao, ZHAI Zhenhe, LIU Xiaogang. Bathymetry Prediction Based on the Admittance Theory of Gravity Anomalies[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(10): 1092-1099.

参考文献

[1] HUANG Motao, ZHAI Guojun, GUAN Zheng, et al. On the Recovery of Gravity Anomalies from Altimeter Data[J]. Acta Geodaetica et Cartographica Sinica, 2001, 30(2): 179-184. (黄谟涛, 翟国君, 管铮, 等. 利用卫星测高数据反演海洋重力异常研究[J]. 测绘学报, 2001, 30(2): 179-184.)
[2] LI Jiancheng, NING Jinsheng, CHEN Junyong, et al. Determination of Gravity Anomalies over the South China Sea by Combination of TOPEX/Poseidon, ERS2 and Geosat Altimeter Data[J]. Acta Geodaetica et Cartographica Sinica, 2001, 30(3): 197-202. (李建成, 宁津生, 陈俊勇, 等. 联合TOPEX/Poseidon, ERS2和Geosat卫星测高资料确定中国近海重力异常[J]. 测绘学报, 2001, 30(3): 197-202.)
[3] LI Shanshan, WU Xiaoping, ZHANG Chuanding, et al. Regional Quasi-geoid Refining Considering Corrections of Terrain and Complete Spherical Bouguer Anomaly's Gradient Term[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(4): 510-516. (李姗姗, 吴晓平, 张传定, 等. 顾及地形与完全球面布格异常梯度项改正的区域似大地水准面精化[J]. 测绘学报, 2012, 41(4): 510-516.)
[4] WANG Hubiao, WANG Yong, XU Daxin, et al. Distribution of Navigation Value about Vertical Gradient and Its Navigability Analysis[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(4): 364-369. (王虎彪, 王勇, 许大欣, 等. 重力垂直梯度导航值特征分布与可导航性分析[J]. 测绘学报, 2010, 39(4): 364-369.)
[5] ZENG Hualin. Gravity Field and Gravity Exploration[M]. Beijing: Geological Publishing House, 2005. (曾华霖. 重力场与重力勘探[M]. 北京: 地质出版社, 2005.)
[6] SIEMENS C W. On Determining the Depth of the Sea Without the Use of the Sounding-Line[J]. Philosophical Transactions of the Royal Society of London, 1876, 166: 671-692.
[7] PARKER R L. The Rapid Calculation of Potential Anomalies[J]. Geophysical Journal of the Royal Astronomical Society, 1973, 31(4): 447-455.
[8] OLDENBURG D W. The Inversion and Interpretation of Gravity Anomalies[J]. Geophysics, 1974, 39(4): 526-536.
[9] WATTS A B. An Analysis of Isostasy in the World's Oceans: 1. Hawaiian-Emperor Seamount Chain[J]. Journal of Geophysical Research, 1978, 83(B12): 5989-6004.
[10] SMITH W H F, SANDWELL D T. Bathymetric Prediction from Dense Satellite Altimetry and Sparse Shipboard Bathymetry[J]. Journal of Geophysical Research, 1994, 99(B11): 21803-21824.
[11] HWANG C. A Bathymetric Model for the South China Sea from Satellite Altimetry and Depth Data[J]. Marine Geodesy, 1999, 22(1): 37-51.
[12] HU Minzhang, LI Jiancheng, XING Lelin. Global Bathymetry Model Predicted from Vertical Gravity Gradient Anomalies[J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(6): 556-565. (胡敏章, 李建成, 邢乐林. 由垂直重力梯度异常反演全球海底地形模型[J]. 测绘学报, 2014, 43(6): 559-565.)
[13] MOORE J G. Relationship Between Subsidence and Volcanic Load, Hawaii[J]. Bulletin Volcanologique, 1970, 34(2): 562-576.
[14] WATTS A B. On Geoid Heights Derived from Geos 3 Altimeter Data Along the Hawaiian-Emperor Seamount Chain[J]. Journal of Geophysical Research, 1979, 84(B8): 3817-3826.
[15] SUZANNE N L, SANDWELL D T, SMITH W H F. Three-Dimensional Estimation of Elastic Thickness under the Louisville Ridge[J]. Journal of Geophysical Research, 2000, 105(B6): 13239-13252.
[16] HEISKANEN W A, VENING MEINESZ F A. The Earth and Its Gravity Field[M]. New York: McGraw-Hill, 1958.
[17] AIRY G B. On the Computation of the Effect of the Attraction of Mountain-Masses, as Disturbing the Apparent Astronomical Latitude of Stations in Geodetic Surveys[J]. Philosophical Transactions of the Royal Society of London, 1855, 145: 101-104.
[18] BARRALL J. The Strength of the Earth's Crust[J]. The Journal of Geology, 1914, 22(5): 441-468.
[19] VENING MEINESZ F A. Gravity over the Hawaiian Archipelago and over the Madeira Area: Conclusions about the Earth's Crust[M]. [S.l.]: Proc Kon Ned Akad Wetensia, 1941.
[20] GUNN R. A Quantitative Study of Isobaric Equilibrium and Gravity Anomalies in the Hawaiian Islands[J]. Journal of the Franklin Institute, 1943, 236(4): 373-390.
[21] WALCOTT R I. Flexure of the Lithosphere at Hawaii[J]. Tectonophysics, 1970, 9(5): 435-446.
[22] WATTS A B, Bodine J H, Ribe N M. Observations of Flexure and the Geological Evolution of the Pacific Ocean Basin[J]. Nature, 1980, 283(5747): 532-537.
[23] LEWIS B T R, DORMAN L M. Experimental Isostasy: 2. An Isostatic Model for the USA Derived from Gravity and Topographic Data[J]. Journal of Geophysical Research, 1970, 75(17): 3367-3386.

采用重力异常的导纳理论推估海底地形

Bathymetry Prediction Based on the Admittance Theory of Gravity Anomalies

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