A multi-domain combined GRACE de-striping filtering method taking into account spatial complementarity of geographic latitude

doi:10.11947/j.AGCS.2024.20240072

Abstract

Abstract:

An important issue that limits the effectiveness of the application of time-varying satellite gravity field model is the influence of noise in the spherical harmonic coefficients, which is mainly manifested in the signal recovery of the Earth's surface mass field by the north-south striping (NSS) noise and random noise. In order to effectively suppress the NSS noise, a multi-domain combined gravity recovery and climate experiment (GRACE) de-striping filter is proposed in this paper, which combines the advantages of the Swenson & Whar (S&W) decorrelation filter and the multi-channel singular spectrum analysis in the spatial domain (SSAS) filter, and utilizes the least-squares method and the multichannel singular spectrum analysis to take into account the signal characteristics in the spectral and spatial domains. The results show that, compared with the traditional filters, the combined filter proposed in this paper can adapt to the filtering needs of different latitudes, effectively eliminate the NSS noise effects in the middle and high latitudes and low latitudes, retain more geophysical signals, and improve the possibility of observing small-scale signals.

Key words: GRACE, stripe noise, spatial complementarity, reconstruction filter

CLC Number:

P228

Xiaohui WU, Yunlong WU, Guodong XU, Shuang YI, Sulan LIU, Bao ZHANG, Yulong ZHONG, Lizhe WANG. A multi-domain combined GRACE de-striping filtering method taking into account spatial complementarity of geographic latitude[J]. Acta Geodaetica et Cartographica Sinica, 2024, 53(11): 2149-2165.

Figures/Tables 12

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Tab.1

Tab.2

Fig.10

References 30

[1]	CHEN J L, WILSON C R, TAPLEY B D, et al. 2005 drought event in the Amazon River basin as measured by GRACE and estimated by climate models[J]. Journal of Geophysical Research (Solid Earth), 2009, 114(B5): B05404.
[2]	XU Guodong, WU Yunlong, LIU Sulan, et al. How 2022 extreme drought influences the spatiotemporal variations of terrestrial water storage in the Yangtze River catchment: insights from GRACE-based drought severity index and in situ measurements[J]. Journal of Hydrology, 2023, 626: 130245.
[3]	CHEN Jianli, TAPLEY B, WILSON C, et al. Global ocean mass change from GRACE and GRACE follow-on and altimeter and Argo measurements[J]. Geophysical Research Letters, 2020, 47(22): e90656.
[4]	CHEN J L, WILSON C R, TAPLEY B D, et al. GRACE detects coseismic and postseismic deformation from the Sumatra-Andaman earthquake[J]. Geophysical Research Letters, 2007, 34(13): L13302.
[5]	王星星, 李斐, 郝卫峰, 等. GRACE RL05反演南极冰盖质量变化方法比较[J]. 武汉大学学报(信息科学版), 2016, 41(11): 1450-1457.
	WANG Xingxing, LI Fei, HAO Weifeng, et al. Comparison of several filters in the rates of Antarctic ice sheet mass change based on GRACE RL05 data[J]. Geomatics and Information Science of Wuhan University, 2016, 41(11): 1450-1457.
[6]	SWENSON S, WAHR J. Post-processing removal of correlated errors in GRACE data[J]. Geophysical Research Letters, 2006, 33(8): L08402.
[7]	PREVOST P, CHANARD K, FLEITOUT L, et al. Data-adaptive spatio-temporal filtering of GRACE data[J]. Geophysical Journal International, 2019, 219(3): 2034-2055.
[8]	SCHRAMA E J O, WOUTERS B, LAVALLÉE D A. Signal and noise in gravity recovery and climate experiment (GRACE) observed surface mass variations[J]. Journal of Geophysical Research (Solid Earth), 2007, 112(B8): B08407.
[9]	WOUTERS B, SCHRAMA E J O. Improved accuracy of GRACE gravity solutions through empirical orthogonal function filtering of spherical harmonics[J]. Geophysical Research Letters, 2007, 34(23): L23711.
[10]	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): 30205-30229.
[11]	HAN S C, SHUM C K, JEKELI C, et al. Non-isotropic filtering of GRACE temporal gravity for geophysical signal enhancement[J]. Geophysical Journal International, 2005, 163(1): 18-25.
[12]	ZHANG Zizhan, CHAO B F, LU Yang, et al. An effective filtering for GRACE time-variable gravity: Fan filter[J]. Geophysical Research Letters, 2009, 36(17): L17311.
[13]	SASGEN I, MARTINEC Z, FLEMING K. Wiener optimal filtering of GRACE data[J]. Studia Geophysica et Geodaetica, 2006, 50(4): 499-508.
[14]	SASGEN I, MARTINEC Z, FLEMING K. Wiener optimal combination and evaluation of the gravity recovery and climate experiment (GRACE) gravity fields over Antarctica[J]. Journal of Geophysical Research (Solid Earth), 2007, 112(B4): B04401.
[15]	CHEN J L, WILSON C R, SEO K W. Optimized smoothing of gravity recovery and climate experiment (GRACE) time-variable gravity observations[J]. Journal of Geophysical Research (Solid Earth), 2006, 111(B6): B06408.
[16]	KUSCHE J. Approximate decorrelation and non-isotropic smoothing of time-variable GRACE-type gravity field models[J]. Journal of Geodesy, 2007, 81(11): 733-749.
[17]	KUSCHE J, SCHMIDT R, PETROVIC S, et al. Decorrelated GRACE time-variable gravity solutions by GFZ, and their validation using a hydrological model[J]. Journal of Geodesy, 2009, 83(10): 903-913.
[18]	YI Shuang, SNEEUW N. A novel spatial filter to reduce north-south striping noise in GRACE spherical harmonic coefficients[J]. Journal of Geodesy, 2022, 96(4): 23.
[19]	超能芳, 王正涛, 孙健. 各向异性组合滤波法反演陆地水储量变化[J]. 测绘学报, 2015, 44(2): 174-182. DOI:. doi: 10.11947/j.AGCS.2015.20130719
	CHAO Nengfang, WANG Zhengtao, SUN Jian. The inversion of terrestrial water storage changes by non-isotropic combination filter[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(2): 174-182. DOI:. doi: 10.11947/j.AGCS.2015.20130719
[20]	郭飞霄, 孙中苗, 任飞龙, 等. GRACE时变重力场各向异性高斯组合滤波方法[J]. 测绘学报, 2019, 48(7): 898-907. DOI:. doi: 10.11947/j.AGCS.2019.20180365
	GUO Feixiao, SUN Zhongmiao, REN Feilong, et al. Non-isotropic Gaussian combination filtering method of GRACE time-variable gravity[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(7): 898-907. DOI:. doi: 10.11947/j.AGCS.2019.20180365
[21]	SUN Yu, RIVA R, DITMAR P. Optimizing estimates of annual variations and trends in geocenter motion and J2 from a combination of GRACE data and geophysical models[J]. Journal of Geophysical Research (Solid Earth), 2016, 121(11): 8352-8370.
[22]	CHENG Minkang, RIES J. The unexpected signal in GRACE estimates of C₂₀[J]. Journal of Geodesy, 2017, 91(8): 897-914.
[23]	LOOMIS B D, RACHLIN K E, WIESE D N, et al. Replacing GRACE/GRACE-FO with satellite laser ranging: impacts on Antarctic ice sheet mass change[J]. Geophysical Research Letters, 2020, 47(3): e2019GL085488.
[24]	YI Shuang, SNEEUW N. Filling the data gaps within GRACE missions using singular spectrum analysis[J]. Journal of Geophysical Research (Solid Earth), 2021, 126(5): e2020JB021227.
[25]	CHAMBERS D P. Evaluation of new GRACE time-variable gravity data over the ocean[J]. Geophysical Research Letters, 2006, 33(17): L17603.
[26]	DUAN X J, GUO J Y, SHUM C K, et al. On the postprocessing removal of correlated errors in GRACE temporal gravity field solutions[J]. Journal of Geodesy, 2009, 83(11): 1095-1106.
[27]	RODELL M, HOUSER P R, JAMBOR U, et al. The global land data assimilation system[J]. Bulletin of the American Meteorological Society, 2004, 85(3): 381-394.
[28]	SAVE H, BETTADPUR S, TAPLEY B D. High-resolution CSR GRACE RL05 mascons[J]. Journal of Geophysical Research (Solid Earth), 2016, 121(10): 7547-7569.
[29]	LOOMIS B D, LUTHCKE S B, SABAKA T J. Regularization and error characterization of GRACE mascons[J]. Journal of Geodesy, 2019, 93(9): 1381-1398.
[30]	WATKINS M M, WIESE D N, YUAN D N, et al. Improved methods for observing Earth's time variable mass distribution with GRACE using spherical cap mascons[J]. Journal of Geophysical Research (Solid Earth), 2015, 120(4): 2648-2671.

方法	维多利亚湖	纳尔马达河	新疆某地区
P3M10	17.742 3	9.779 4	6.775 1
SSAS	14.955 5	7.235 8	7.984 4
DSS	11.136 9	4.854 9	4.799 6
P3M10+DDK6	7.800 8	5.772 2	5.476 3
SSAS+DDK6	7.262 6	3.829 7	6.689 6
DSS+DDK6	6.076 3	3.397 3	4.302 3
DDK6	8.847 6	5.054 5	6.885 6

方法	维多利亚湖	纳尔马达河	新疆某地区
CSR Mascon	5.365 7	2.266 7	3.245 8
Mascon GSFC	8.516 4	3.819 7	2.378 4
JPL Mascon	6.479 9	3.261 9	3.178 8
P3M10	13.493 1	11.505 2	6.094 5
SSAS	9.570 7	7.636 9	7.253 9
DSS	7.209 1	6.495 3	4.291 9
P3M10+DDK6	6.091 6	8.308 2	4.715 6
SSAS+DDK6	5.017 1	5.346 4	5.653 1
DSS+DDK6	6.491 1	5.276 6	3.678 5
DDK6	5.647 8	6.437 2	5.872 3