CRUST 2.0模型在均衡位模型构建中的应用研究

›› 2013, Vol. 42 ›› Issue (5): 640-647.

CRUST 2.0模型在均衡位模型构建中的应用研究

王凯¹,刘晓刚²,李鹃³,毛莉³

1. 总装备部工程设计研究总院
2. 西安测绘研究所
3. 78155部队

收稿日期:2012-07-24 修回日期:2012-12-06 出版日期:2013-10-20 发布日期:2014-01-23
通讯作者: 刘晓刚 E-mail:sungod.2008@yahoo.com.cn
基金资助:
国家自然科学基金项目;国家自然科学基金项目

Application of CRUST 2.0 Global Crustal Model in Isostatic Potential Model Construction

Received:2012-07-24 Revised:2012-12-06 Online:2013-10-20 Published:2014-01-23

摘要/Abstract

摘要： 基于均衡理论构制地球重力场模型中一个关键问题是扰动质量的确定，不同的地壳密度分布将得到不同的扰动质量。本文立足于面凝聚模型和Airy模型两种均衡补偿机制，研究了CRUST 2.0全球地壳模型在构制高分辨率地球重力场模型中的应用，推导了顾及地球物理信息的两种均衡重力场模型构建公式，分别讨论了CRUST 2.0模型和补偿深度在两种补偿机制中构建重力场模型的贡献。数值分析表明，地壳模型中Moho面深度的算术平均值22.97 km不是最佳补偿深度，而40 km相对最优，补偿深度的对模型超高阶部分影响较小；CRUST 2.0模型能够在361-1080频段内较好地改善原模型；相同补偿深度的面凝聚模型和Airy模型在不同频段的优劣性不一致。

关键词: 均衡理论, CRUST 2.0, 均衡位模型, 补偿深度, 地球重力场模型

Abstract: The determination of disturbing mass is one of the key techniques in the construction of the Earth’s gravity field model (EGM) based on Isostasy. Different distribution of crust density with different depth results in different crustal mass. With spherical layer distribution and Airy compensation models, the application of CRUST 2.0 in the establishment of isostatic potential model was studied here. Calculation models of the isostatic EGM were derived. Then, the contributions of CRUST 2.0 and compensation depth towards the models were discussed. Numerical experiments show that 22.97 km is not the best compensation depth, while 40 km is better than the others, and compensation depths do little help to the ultra-high-degree part of the original model. Besides, the crustal model could modify the ideal model between degree 361 and 1080. Finally, it is hard to figure out which one is better than the other when spherical layer distribution and Airy compensation model have the same compensation depth.

Key words: Isostasy, CRUST 2.0, isostatic potential model, compensation depth, EGM

中图分类号:

P228

王凯刘晓刚李鹃毛莉. CRUST 2.0模型在均衡位模型构建中的应用研究[J]. , 2013, 42(5): 640-647.

参考文献

[1] Hofmann-Wellenhof Bernhard，Moritz Helmut. Physical Geodesy[M]. Graz: SpringerWienNewYork, 2005.
[2] LU Zhonglian. Theory and Methods of the Earth's Gravity Field [M]. Beijing: PLA Publishing House, 1996.(陆仲连. 地球重力场理论与方法[M]. 北京: 解放军出版社, 1996.)
[3] GUO Chunxi，WANG Huimin，WANG Bin. Determination of High Resolution Grid Terrain and Isostatic Corrections in All China Area[J]. Acta Geodaetica et Cartographica Sinica. 2002, 31(3): 201-205. (郭春喜，王惠民，王斌. 全国高分辨率格网地形和均衡改正的确定[J]. 测绘学报. 2002, 31(3): 201-205.)
[4] G?ttl Franziska，Rummel Reiner. A Geodetic View On Isostatic Models[J]. Pure and Applied Geophysics. 2009, 166: 1247-1260.
[5] CHEN Shi，WANG Qianshen，ZHU Yiqing，et al. Temporal and Spatial Features of Isostasy Anomaly Using Gravitational Admittance Model at Eastern Margin of Tibetan Plateau[J]. Chinese Journal of Geophysics. 2011, 54(1): 22-34. (陈石，王谦身，祝意青，等. 青藏高原东缘重力导纳模型均衡异常时空特征[J]. 地球物理学报. 2011, 54(1): 22-34.)
[6] Tenzer Robert，Hamayun K.，Vajda Peter. Global Maps of the CRUST 2.0 Crustal Components Stripped Gravity Disturbances[J]. J. Geophys. Res. 2009, 114, B05408, doi:10.1029/2008JB006016.
[7] Rapp Richard H. The Ohio State 1991 Geopotential and Sea Surface Topography Harmonic Coefficient Models[R]. Columbus: Department of Geodetic Science and Surveying, The Ohio State University, 1991.
[8] Rummel Reiner，Rapp Richard，Sunkel Hans，et al. Comparisons of Global Topographic Isostatic Models to the Earth's Observed Gravity Field[R]. Columbus: Department of Geodetic Science and Surveying, The Ohio State University, 1988.
[9] Abd-Elmotaal Hussein A. Isostatic Response of the Earth's Crust Derived by Inverse Isostasy[J]. Journal of Geodynamics. 2004, 37(7): 139-153.
[10] Tsoulis D. Spherical Harmonic Analysis of the CRUST 2.0 Global Crustal Model[J]. J Geod. 2004(78): 7-11.
[11] Pavlis N. K.，Holmes S. A.，Kenyon S. C.，et al. An Earth Gravitational Model to Degree 2160: EGM 2008[C]. Vienna, Austria: 2008.
[12] Hu Minzhang，Li Jiancheng. Computation of Airy-Heiskanen Isostatic Gravity Anomaly with Considering Crust Density Model[J]. Journal of Geodesy and Geodynamics. 2010, 30(5): 48-52. (胡敏章，李建成. 顾及地壳密度模型的Airy-Heiskanen均衡重力异常的计算[J]. 大地测量与地球动力学. 2010, 30(5): 48-52.)
[13] WANG Qianshen，TENG Jiwen，ZHANG Yongqian，et al. The Crustal Structure and Gravity Isostasy in the Middle Western Sichuan Area[J]. Chinese Journal of Geophysics. 2009, 52(2): 579-583. (王谦身，滕吉文，张永谦，等. 四川中西部地区地壳结构与重力均衡[J]. 地球物理学报. 2009, 52(2): 579-583.)
[14] Sj?berg L. E.，Bagherbandi M. A Method of Estimating the Moho Density Contrast with a Tentative Application of EGM08 and CRUST 2.0[J]. Acta Geophysica. 2011, 59(3): 502-525.
[15] Moritz H. The Figure of the Earth: Theoretical Geodesy and the Earth's Interior[M]. Translated by Chen Junyong, Zuo Chuanhui, Trans. Beijing: Surveying and Mapping Press, 1992. (莫里茨 H. 地球形状——理论大地测量学和地球内部物理学[M]. 陈俊勇，左传惠译. 北京: 测绘出版社, 1992.)
[16] Tsoulis D. A Comparison Between the Airy-Heiskanen and the Pratt-Hayford Isostatic Models for the Computation of Potential Harmonic Coef?cients[J]. J Geod. 2001, 74(9): 637-643.
[17] Colombo O. L. Numerical Methods for Harmonic Analysis On the Sphere[R]. Columbus: Department of Geodetic Science and Surveying, The Ohio State University, 1981.
[18] Zhang Chuanding，Xu Houze，Wu Xing. Torus Problem of the Harmonic Analysis in the Earth's Graviy Field [A], Presented at the Proceedings of Geodesy and Geodynamics Development[C]. Wuhan: Science and Technology Press, 2004, 302-314.(张传定，许厚泽，吴星. 地球重力场调和分析中的“轮胎”问题[A]. 大地测量与地球动力学进展[C]. 武汉: 科学技术出版社, 2004, 302-314.)
[19] 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. EGM 2008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.)
[20] Smith W. H. F.，Wessel P. Gridding with Continuous Curvature Splines in Tension[J]. Geophysics. 1990, 55: 293-305.