|
|
- 2017
质量负荷引起地表形变的格林函数和球谐函数方法对比研究
|
Abstract:
固体地球对地表质量负荷响应，一般采用格林函数或球谐函数方法来计算。两者在数学上是等价的，在实际计算中存在差异。应用地表流体质量负荷变化数据，定量分析了二者在计算地表位移时的精度。结果表明，同一负荷作用下对单点地表位移的计算，两者的精度在误差水平上是一致的，其计算效率也是一致的；但在计算全球1°规则网格站点时，球谐函数方法要比格林函数方法在计算效率上快近100倍。对地表流体质量变化而言，2°空间网格的分辨率一般可满足改正GPS位移数据的精度，且地表流体引起的站点垂直位移变化可解释超过50%的GPS观测方差
| [1] | Farrell W E. Deformation of the Earth by Surface Loads[J]. Reviews of Geophysics & Space Physics, 1972, 10(3):761-797 |
| [2] | Mangialotti S, Cazenave A, Soudarin L, et al. Annual Vertical Crustal Motions Predicted from Surface Mass Redistribution and Observed by Space Geodesy[J].J Geophy Res, 2001, 106(4):277-291 |
| [3] | Mitrovica J X, Davis J L, Shapiro I I. A Spectral Formalism for Computing Three-dimensional Deformations Due to Surface Loads[J].J Geophys Res, 1994, 99(B4):7057-7073 |
| [4] | Merriam J B.Atmospheric Pressure and Gravity[J].Geophys J Int, 1992, 109(3):488-500 |
| [5] | Sun Heping, Ducarme B, Dehant V. Effect of the Atmospheric Pressure on Surface Displacement[J].J Geod, 1995, 70(3):131-139 |
| [6] | Guo Junyi, Li Yingbing, Huang Yong, et al. Green's Function of the Deformation of the Earth as a Result of Atmospheric Loading[J].Geophysical Journal International, 2004, 159(1):53-68 |
| [7] | Wahr J, Molenaar M, Bryan F. Time Variability of the Earth's Gravity Field:Hydrological and Oceanic Effects and Their Possible Detection Using GRACE[J]. Journal of Geophysical Research Solid Earth, 1998, 103(B12):30205-30230 |
| [8] | Yan Haoming, Zhu Yaozhong. Response of Sea Level to Variation of Atmospheric Pressure[J]. Chinese Journal of Geophysics, 2001, 44(3):320-326(闫昊明, 朱耀仲.全球海平面对大气压变化的响应[J].地球物理学报, 2001, 44(3):320-326) |
| [9] | Chambers D P.Evaluation of New GRACE Time-variable Gravity Data over the Ocean[J].Geophysical Research Letters, 2006, 33(17):12-16 |
| [10] | Longman I M.A Green's Function for Determining the Deformation of the Earth Under Surface Mass Loads:Computation and Numerical Results[J]. J Geophys Res, 1963, 68(2):485-496 |
| [11] | Spratt R S.Modelling the Effect of Atmospheric Pressure Variations on Gravity[J].Geophysical Journal of the Royal Astronomical Society, 1982, 71(1):173-186 |
| [12] | Cazenave A, Remy F, Dominh K, et al.Global Ocean Mass Variation Continental Hydrology and the Mass Balance of Antarticaice Sheet at Seasonal Time Scale[J].Geophys Res Lett, 2000, 27(22):3755-3758 |
| [13] | Crétaux J, Soudarin L, Davidson F J M, et al. Seasonal and Interannual Geocenter Motion from SLR and DORIS Measurements:Comparison with Surface Loading Data[J].Journal of Geophysical Research, 2002, 107(B12):2374-2383 |
| [14] | de Linage C, Hinderer J, Rogister Y. A Search for the Ratio Between Gravity Variation and Vertical Displacement Due to a Surface Load[J]. Geophysical Journal International, 2007, 171(3):986-994 |
| [15] | Xu Houze, Chen Zhenbang, Yang Huaibing. The Effect of Oceanic Tides on the Gravity Tidal Observations[J]. Chinese Journal of Geophysics, 1982, 25(2):120-129(许厚泽,陈振邦,杨怀冰.海潮潮汐对重力潮汐观测的影响[J].地球物理学报, 1982, 25(2):120-129) |
| [16] | Swenson S, Chambers D, Wahr J. Estimating Geocenter Variations from a Combination of GRACE and Ocean Model Output[J]. Journal of Geophysical Research Atmospheres, 2008, 113(B8):194-205 |
| [17] | Cheng Mingkang, Tapley B D. Variations in the Earth's Oblateness During the Past 28 Years[J]. Journal of Geophysical Research Solid Earth, 2005, 110(B9):1404-1413 |
| [18] | Longman I M. A Green's Function for Determining the Deformation of the Earth Under Surface Mass Loads:Theory[J].J Geophys Res, 1962, 67(2):845-850 |
| [19] | Wang Hansheng, Xu Houze, Li Guoying. Improvement of Computations of Load Love Numbers of SNREI Earth Model[J].Chinese Journal of Geophysics, 1996(s1):182-189(汪汉胜, 许厚泽, 李国营. SNREI地球模型负荷勒夫数数值计算的新进展[J]. 地球物理学报, 1996(S1):182-189) |
| [20] | Wang Hangsheng, Wu Patrick. Effects of Lateral Variations in Lithospheric Thickness and Mantle Viscosity on Glacially induced Relative Sea Levels and Long Wavelength Gravity Field in a Spherical, Self-gravitating Maxwell Earth[J]. Earth & Planetary Science Letters, 2006, 249(3/4):368-383 |
| [21] | Dong D, Fang P, Bock Y, et al. Anatomy of Apparent Seasonal Variations from GPS-Derived Site Position Time Series[J]. Journal of Geophysical Research, 2002, 107(B4):2075-2091 |
| [22] | Yan Haoming, Chen Wu, Zhu Yaozhong, et al. Contributions of Thermal Expansion of Monuments and Nearby Bedrock to Observed GPS Height Changes[J].Geophysical Research Letters, 2009, 36(13):88-97 |
| [23] | Jiang Weiping, Li Zhao, Liu Hongfei, et al. Cause Analysis of the Non-linear Variation of the IGS Reference Station Coordinate Time Series Inside China[J]. Chinese Journal of Geophysics, 2013, 56(7):2228-2237(姜卫平, 李昭, 刘鸿飞, 等.中国区域IGS基准站坐标时间序列非线性变化的成因分析[J].地球物理学报, 2013, 56(7):2228-2237) |
| [24] | Dahle C, Flechtner F, Gruber C, et al.GFZ GRACE Level-2 Processing Standards Document for Level-2 Product Release 0005[R].Scientific Technical ReportSTR/12/02-Data, GFZ, Potsdam, 2013 |
