重力卫星时变重力场位系数误差Fan滤波算法分析
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摘要
针对GRACE(gravity recovery and climate experiment)时变重力场模型中因高阶项误差引起的南北条带误差,分析利用滤波算法消除该条带误差的基本原理,着重研究Fan滤波和高斯滤波的理论差异,最后利用CSR(center for space research of texas university in austin)提供的Level-2 RL05版本时GRACE重力场数据对2010年全球陆地水储量月变化进行了数值计算,并分别利用Fan滤波和高斯滤波对相关误差进行了处理,并将计算结果与GLDAS(global land data assimilation system)水文模型的结果进行了验证分析。比较结果表明:Fan滤波相对于高斯滤波,能够有效地消除模型高阶项误差引起的条带误差。
Aimming to"south-north"band errors caused by the high-order error in gravity recovery and climate experiment( GRACE) time-variable gravity field model,the basic principle of filter algorithm for elimination of this band error was analyzed,and the theory differences between Fan filter and Guassian filter were studied. Finally,the global continental water storage variation in 2010 was calculated using GRACE Level-2 RL05 gravity filed data published by center for space research of texas university in austin( CSR),and the correlated errors were processed by Fan filter and Guassian filter. The calculated results are verified and analyzed by comparing to global land data assimilation system( GLDAS) hydrological model. The comparison results show that Fan filter can effectively eliminate the band error caused by the model high-order term error compared with gaussion filter.
Aimming to"south-north"band errors caused by the high-order error in gravity recovery and climate experiment( GRACE) time-variable gravity field model,the basic principle of filter algorithm for elimination of this band error was analyzed,and the theory differences between Fan filter and Guassian filter were studied. Finally,the global continental water storage variation in 2010 was calculated using GRACE Level-2 RL05 gravity filed data published by center for space research of texas university in austin( CSR),and the correlated errors were processed by Fan filter and Guassian filter. The calculated results are verified and analyzed by comparing to global land data assimilation system( GLDAS) hydrological model. The comparison results show that Fan filter can effectively eliminate the band error caused by the model high-order term error compared with gaussion filter.
引文
1崔立鲁,朱贵发.利用重力卫星数据恢复地球质量迁移方法的研究[J].科学技术与工程,2015,15(14):106-109Cui Lilu,Zhu Guifa.The research on using the method to restore earth's mass migration based on gravity satellite data[J].Science Technology and Engineering,2015,15(14):106-109
2崔立鲁,朱贵发.冰后回弹对南极地区冰盖质量变化影响的研究[J].科技技术与工程,2015,15(28):107-111Cui Lilu,Zhu Guifa.The research on the effects of ice rebound for the quality change of antarctic ice caps[J].Science Technology and Engineering,2015,15(28):107-111
3 Pernille E K,Ole B A,Michailovsky I B,et al.Evaluating tessretrial water storage variations from regionally constrained GRACE mason data and hydrological model over Southern Africa preliminary results[J].Internatuional Journal of Remote Sensing,2010,31(14):3899-3912
4李琼.地表物质迁移的时变重力场反演方法及其应用研究[D].武汉:武汉大学,2014Li Qiong.Earth's surface mass transport recovered from temporal gravity field and its application[D].Wuhan:Wuhan University,2014
5邹正波,罗志才,李辉,等GRACE探测强地震重力变化[J].大地测量与地球动力学,2010,30(2):6-9Zou Zhengbo,Luo Zhicai,Li Hui,et al.Detection of gravity change before and after strong earthquake by GRACE[J].Journal of Geodesy and Geodynamics,2010,30(2):6-9
6蒋涛,王正涛,金涛勇,等GRACE时变重力场位系数相关误差的滤波消除技术[J].武汉大学学报信息科学版,2009,34(12):1407-1409,1414Jiang Tao,Wang Zhengtao,Jin Taoyong,et al.Filter technique of removing corrrelated errors existing in GRACE time variable gravity data[J].Geomatics and Information Science of Wuhan Univerity,2009,34(12):1407-1409,1414
7 Swenson S,Wahr J.Post-processing removal of correlated errors in GRACE data[J].Geophysical Research Letters,2006,33:L08402
8郭飞霄,孙中苗,汪菲菲,等GRACE卫星时变重力场滤波方法研究进展[J].地球物理学进展,2018,33(5):1783-1788Guo Feixiao,Sun Zhongmiao,Wang Feifei,et al.Review of GRACEsatellite time-variable gravity filtering methods[J].Progress in Geophysics,2018,33(5):1783-1788
9郭飞霄,苗岳旺,肖云.GRACE时变重力位系数扇形滤波算法分析[J].测绘科学技术学报,2015,32(3):231-235,240Guo Feixiao,Miao Yuewang,Xiao Yun.Fan filtering algorithm analysis of GRACE time-variable geopotential coeffcients[J].Journal of Geomatics Science and Technology,2015,32(3):231-235,240
10 Zhang Zizhan,Chao Biaofeng,Lu Yang,et al.An effective filter for GRACE time variable gravity:Fan filter[J].Geophysical Research Letters,2009,36:L17311
11 Chen Jianli,Rodell M,Wilson C R,et al.Low degree spherical harmnonic influences on gravity recovery and climate experiment(GRACE)water storage estimates[J].Geophysical Research Letters,2005,32:L14405
12 Swnson S,Chambers D,Whar J.Estimating geocenter variations form a combination of GRACE and ocean model output[J].Journal of Geophysical Research:Solid Earth,2008,113(B8):194-205
13崔立鲁,张涌,安家春.超宽巷组合辅助电离层残差法北斗周跳探测与修复[J].科学技术与工程,2018,18(15):1-5Cui Lilu,Zhang Yong,An Jiachun.Detection and repair of BDSbased on ionosphere residual method combined with ultra-wide lane carrier[J].Science Technology and Engineering,2018,18(15):1-5
14崔立鲁,杜石.北斗三频无几何相位组合实时周跳探测与修复[J].科学技术与工程,2018,18(29):7-12Cui Lilu,Du Shi.The real-time detection and repair of beidou triple-frequency cycle slip based on Geometry-free phase combination[J].Science Technology and Engineering,2018,18(29):7-12
15崔立鲁,高先明,邹正波,等.顾及系数矩阵中误差项的三维坐标转换参数总体最小二乘迭代算法[J].科学技术与工程,2019,19(3):1-5Cui Lilu,Gao Xianming,Zou Zhengbo,et al.The total leastsquares iterative algorithm for three-dimensional coordinate transformation parameters based on the error in the coefficient matix[J].Science Technology and Engineering,2019,19(3):1-5
16詹金刚,王勇.卫星重力捕捉龙潭水库储水量变化[J].地球物理学报,2011,54(5):1187-1192Zhan Jingang,Wang Yong.Detect water storage variation of Longtan Reservoir with GRACE data[J].Chinese Journal of Geophysics,2011,54(5):1187-1192
17崔立鲁,肖亚鹏,邹正波,等.相位电离层残差二阶差分辅助伪距相位组合北斗周跳探测与修复[J].科学技术与工程,2019,19(9):15-21Cui Lilu,Xiao Yapeng,Zou Zhengbo,et al.Detection and repair of Beidou cycle slip based on pseudo-phase combination and second-order time-difference phase ionospheric residual[J].Science Technology and Engineering,2019,19(9):15-21
2崔立鲁,朱贵发.冰后回弹对南极地区冰盖质量变化影响的研究[J].科技技术与工程,2015,15(28):107-111Cui Lilu,Zhu Guifa.The research on the effects of ice rebound for the quality change of antarctic ice caps[J].Science Technology and Engineering,2015,15(28):107-111
3 Pernille E K,Ole B A,Michailovsky I B,et al.Evaluating tessretrial water storage variations from regionally constrained GRACE mason data and hydrological model over Southern Africa preliminary results[J].Internatuional Journal of Remote Sensing,2010,31(14):3899-3912
4李琼.地表物质迁移的时变重力场反演方法及其应用研究[D].武汉:武汉大学,2014Li Qiong.Earth's surface mass transport recovered from temporal gravity field and its application[D].Wuhan:Wuhan University,2014
5邹正波,罗志才,李辉,等GRACE探测强地震重力变化[J].大地测量与地球动力学,2010,30(2):6-9Zou Zhengbo,Luo Zhicai,Li Hui,et al.Detection of gravity change before and after strong earthquake by GRACE[J].Journal of Geodesy and Geodynamics,2010,30(2):6-9
6蒋涛,王正涛,金涛勇,等GRACE时变重力场位系数相关误差的滤波消除技术[J].武汉大学学报信息科学版,2009,34(12):1407-1409,1414Jiang Tao,Wang Zhengtao,Jin Taoyong,et al.Filter technique of removing corrrelated errors existing in GRACE time variable gravity data[J].Geomatics and Information Science of Wuhan Univerity,2009,34(12):1407-1409,1414
7 Swenson S,Wahr J.Post-processing removal of correlated errors in GRACE data[J].Geophysical Research Letters,2006,33:L08402
8郭飞霄,孙中苗,汪菲菲,等GRACE卫星时变重力场滤波方法研究进展[J].地球物理学进展,2018,33(5):1783-1788Guo Feixiao,Sun Zhongmiao,Wang Feifei,et al.Review of GRACEsatellite time-variable gravity filtering methods[J].Progress in Geophysics,2018,33(5):1783-1788
9郭飞霄,苗岳旺,肖云.GRACE时变重力位系数扇形滤波算法分析[J].测绘科学技术学报,2015,32(3):231-235,240Guo Feixiao,Miao Yuewang,Xiao Yun.Fan filtering algorithm analysis of GRACE time-variable geopotential coeffcients[J].Journal of Geomatics Science and Technology,2015,32(3):231-235,240
10 Zhang Zizhan,Chao Biaofeng,Lu Yang,et al.An effective filter for GRACE time variable gravity:Fan filter[J].Geophysical Research Letters,2009,36:L17311
11 Chen Jianli,Rodell M,Wilson C R,et al.Low degree spherical harmnonic influences on gravity recovery and climate experiment(GRACE)water storage estimates[J].Geophysical Research Letters,2005,32:L14405
12 Swnson S,Chambers D,Whar J.Estimating geocenter variations form a combination of GRACE and ocean model output[J].Journal of Geophysical Research:Solid Earth,2008,113(B8):194-205
13崔立鲁,张涌,安家春.超宽巷组合辅助电离层残差法北斗周跳探测与修复[J].科学技术与工程,2018,18(15):1-5Cui Lilu,Zhang Yong,An Jiachun.Detection and repair of BDSbased on ionosphere residual method combined with ultra-wide lane carrier[J].Science Technology and Engineering,2018,18(15):1-5
14崔立鲁,杜石.北斗三频无几何相位组合实时周跳探测与修复[J].科学技术与工程,2018,18(29):7-12Cui Lilu,Du Shi.The real-time detection and repair of beidou triple-frequency cycle slip based on Geometry-free phase combination[J].Science Technology and Engineering,2018,18(29):7-12
15崔立鲁,高先明,邹正波,等.顾及系数矩阵中误差项的三维坐标转换参数总体最小二乘迭代算法[J].科学技术与工程,2019,19(3):1-5Cui Lilu,Gao Xianming,Zou Zhengbo,et al.The total leastsquares iterative algorithm for three-dimensional coordinate transformation parameters based on the error in the coefficient matix[J].Science Technology and Engineering,2019,19(3):1-5
16詹金刚,王勇.卫星重力捕捉龙潭水库储水量变化[J].地球物理学报,2011,54(5):1187-1192Zhan Jingang,Wang Yong.Detect water storage variation of Longtan Reservoir with GRACE data[J].Chinese Journal of Geophysics,2011,54(5):1187-1192
17崔立鲁,肖亚鹏,邹正波,等.相位电离层残差二阶差分辅助伪距相位组合北斗周跳探测与修复[J].科学技术与工程,2019,19(9):15-21Cui Lilu,Xiao Yapeng,Zou Zhengbo,et al.Detection and repair of Beidou cycle slip based on pseudo-phase combination and second-order time-difference phase ionospheric residual[J].Science Technology and Engineering,2019,19(9):15-21