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High-resolution spherical harmonic representation of the Earth's topographic gravitational potential based on a three-layer decomposition of the topography with variable density values. Main features: - Three-layer decomposition of the topography using information of the new 1'x1' Earth2014 topography model - Rigorous separate modeling of rock, water, and ice masses with layer-specific density values: Rock: 2670 kg m-3, Water: 1030 kg m-3 (Ocean), 1000 kg m-3 (Inland), Ice: 917 kg m-3 - Ellipsoidal arrangement of the topography using the GRS80 ellipsoid + geoid undulations as height reference surface - Additional compilation of a consistent rock-equivalent version REQ_TOPO_2015 using condensed DTM-heights Processing: - Forward modelling in the space domain using tesseroid mass bodies - Transformation of global gridded values to the frequency domain by applying harmonic analysis up to degree and order 2190 Model versions: - Spherical harmonic coefficients of the RWI model are provided by two versions (GM = 3.986004415e+14 m3 s-2, a = 6378136.3 m): RWI_TOPO_2015 (topographic potential) REQ_TOPO_2015 (topogr. potential of rock-equivalent heights) - To allow the evaluation of the RWI model by synthesis software that by default subtracts the coefficients of a normal gravity field, two additional versions are available: RWI_TOPO_2015_plusGRS80 (RWI_TOPO_2015 + GRS80) REQ_TOPO_2015_plusGRS80 (REQ_TOPO_2015 + GRS80) where the following zonal harmonic coefficients of the GRS80 normal gravity field are added to the coefficients of the RWI model: C( 0,0) = 0.100000014676351e+01 C( 2,0) = -0.484167032228604e-03 C( 4,0) = 0.790304535833168e-06 C( 6,0) = -0.168725253450154e-08 C( 8,0) = 0.346053594536695e-11 C(10,0) = -0.265006548323563e-14 C(12,0) = -0.410788602320538e-16 C(14,0) = 0.447176931400485e-18 C(16,0) = -0.346362561442980e-20 Note that these coefficients are already rescaled to the above specified parameters GM and a of the RWI model. Details about the used Earth2014 topography model can be found in Hirt and Rexer (2015, https://doi.org/10.1016/j.jag.2015.03.001).
High-resolution spherical harmonic representation of the Earth's topographic, isostatic, and topographic-isostatic gravitational potential based on a three-layer decomposition of the topography with variable density values and a modified Airy-Heiskanen concept incorporating seismic Moho depths. Main features: - Three-layer decomposition of the topography using information of the 5'x5'global topographic database DTM2006.0 - Rigorous separate modeling of rock, water, and ice masses with layer-specific density values (2670, 1000, 920 kg m-3) - Avoidance of geometry changes compared to classical condensation methods (e.g. rock-equivalent heights) - Ellipsoidal arrangement of the topography using the GRS80 ellipsoid as reference surface - Adapted and modified Airy-Heiskanen isostatic concept - Incorporation of seismic Moho depths derived from CRUST2.0 - Location-dependent estimation of the crust-mantle density contrast Processing: - Forward modelling in the space domain using tesseroid mass bodies - Transformation of global gridded values to the frequency domain by applying harmonic analysis up to degree and order 1800 Model versions: - Spherical harmonic coefficients of the RWI model are provided by three versions (GM = 3.986004415e+14 m3 s-2, a = 6378136.3 m): RWI_TOPO_2012 (topographic potential) RWI_ISOS_2012 (isosatic potential) RWI_TOIS_2012 (topographic-isostatic potential) - To allow the evaluation of the RWI model by synthesis software that by default subtracts the coefficients of a normal gravity field, three additional versions are available: RWI_TOPO_2012_plusGRS80 (topographic potential + GRS80) RWI_ISOS_2012_plusGRS80 (isosatic potential + GRS80) RWI_TOIS_2012_plusGRS80 (topogr.-isostatic potential + GRS80) where the following zonal harmonic coefficients of the GRS80 normal gravity field are added to the coefficients of the RWI model: C( 0,0) = 0.100000014676351e+01 C( 2,0) = -0.484167032228604e-03 C( 4,0) = 0.790304535833168e-06 C( 6,0) = -0.168725253450154e-08 C( 8,0) = 0.346053594536695e-11 C(10,0) = -0.265006548323563e-14 C(12,0) = -0.410788602320538e-16 C(14,0) = 0.447176931400485e-18 C(16,0) = -0.346362561442980e-20 Note that these coefficients are already rescaled to the above specified parameters GM and a of the RWI model. Details about the used DTM2006.0 topography model can be found in Pavlis et al. (2012, https://doi.org/10.1029/2011JB008916). Details about the used CRUST2.0 model is available from Laske et al. (2000, https://igppweb.ucsd.edu/~gabi/crust2.html).
GRACE monthly gravity field solutions starting from April 2002 to June 2017 up to degree and order 90 computed with the Celestial Mechanics Approach at AIUB. The time series is an updated of AIUB-RL02 GRACE monthly gravity field time series using Level-1B GRACE data and updated background models. The dataset is created within the framework of the G3P - Global Gravity-based Groundwater Product project (https://www.g3p.eu/), this project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 870353.
Post-processed GRACE/GRACE-FO spherical harmonic coefficients of GFZ RL06 Level-2 GSM products representing an estimate of Earth's gravity field variations during the specified timespan. Post-processing steps comprise: (1) subtraction of a long-term mean field; (2) optionally, decorrelation and smoothing with VDK filter (anisotropic filter taking the actual error covariance information of the underlying GSM coefficients into account, see Horvath et al. (2018)); (3) replacement of coefficients C20, C30 (only for the months within the period from 2016/11 through 2017/06), C21 and S21 (only for the months within the period from 2002/04 through 2017/06) and its formal standard deviations by values estimated from a combination of GRACE/GRACE-FO and Satellite Laser Ranging (SLR); (4) subtraction of linear trend caused by Glacial Isostatic Adjustment (GIA) as provided by a numerical model; (5) insertion of geocenter coefficients (C10, C11, S11); and (6) removal of estimated aliased signal of the S2 tide (161 days period). These coefficients represent signals caused by water mass redistribution over the continents and in the oceans. These post-processed GRACE/GRACE-FO GSM products are denoted as Level-2B products. There are multiple variants of Level-2B products available that differ by the characteristics of the anisotropic filter applied. These variants are distinguishable by the following strings in the product file names: - 'NFIL': Level-2B product is not filtered - 'VDK1': Level-2B product is filtered with VDK1 - 'VDK2': Level-2B product is filtered with VDK2 - 'VDK3': Level-2B product is filtered with VDK3 - 'VDK4': Level-2B product is filtered with VDK4 - 'VDK5': Level-2B product is filtered with VDK5 - 'VDK6': Level-2B product is filtered with VDK6 - 'VDK7': Level-2B product is filtered with VDK7 - 'VDK8': Level-2B product is filtered with VDK8 The individual auxiliary data sets and models used during the post-processing steps mentioned above are provided as well (in the aux_data folder): - 'GRAVIS-2B_2002095-2020091_GFZOP_0600_NFIL_0004.gz': Long-term mean field calculated as unweighted average of the 183 available GFZ RL06 GSM products in the period from 2002/04 up to and including 2020/03. - 'GRAVIS-2B_GFZOP_GRACE+SLR_LOW_DEGREES_0004.dat': time series of coefficients C20, C30, C21 and S21 estimated from a combination of GRACE/GRACE-FO and SLR - 'GRAVIS-2B_GIA_ICE-6G_D_VM5a_0004.gz': Model from Peltier et al. (2018) for subtraction of linear trend caused by GIA - 'GRAVIS-2B_GFZOP_GEOCENTER_0004.dat': Time series with geocenter coefficients estimated from GFZ RL06 Further information about the Level-2B products and the auxiliary data is provided in the header of the corresponding data files. --------------------------------------------------------------------------------------------- Version History: 16 January 2025: Release of Version 0004. This is an update of Version 0003 of the same data set (see changelog). 21 April 2023: Release of Version 0003. This is an update of Version 0002 of the same data set (see changelog). 09 June 2020: Release of Version 0002. This is an update of Version 0001 of the same data set (see changelog). All changes and updates are documented in the changelog available via the data download section. Previously released versions of this data set are available in the "old_versions" subfolder in the data download folder.
Post-processed GRACE/GRACE-FO spherical harmonic coefficients of COST-G RL01 Level-2 GSM products representing an estimate of Earth's gravity field variations during the specified timespan. Post-processing steps comprise: (1) subtraction of a long-term mean field; (2) optionally, decorrelation and smoothing with VDK filter (anisotropic filter taking the actual error covariance information of the underlying GSM coefficients into account, see Horvath et al. (2018)); (3) replacement of coefficients C20 and C30 (only for the months within the period from 2016/11 through 2017/06) and its formal standard deviations by values estimated from a combination of GRACE/GRACE-FO and Satellite Laser Ranging (SLR); (4) subtraction of linear trend caused by Glacial Isostatic Adjustment (GIA) as provided by a numerical model; (5) insertion of geocenter coefficients (C10, C11, S11); and (6) removal of estimated aliased signal of the S2 tide (161 days period). These coefficients represent signals caused by water mass redistribution over the continents and in the oceans. These post-processed GRACE/GRACE-FO GSM products are denoted as Level-2B products. There are multiple variants of Level-2B products available that differ by the characteristics of the anisotropic filter applied. These variants are distinguishable by the following strings in the product file names: - 'NFIL': Level-2B product is not filtered - 'VDK1': Level-2B product is filtered with VDK1 - 'VDK2': Level-2B product is filtered with VDK2 - 'VDK3': Level-2B product is filtered with VDK3 - 'VDK4': Level-2B product is filtered with VDK4 - 'VDK5': Level-2B product is filtered with VDK5 - 'VDK6': Level-2B product is filtered with VDK6 - 'VDK7': Level-2B product is filtered with VDK7 - 'VDK8': Level-2B product is filtered with VDK8 The individual auxiliary data sets and models used during the post-processing steps mentioned above are provided as well (in the aux_data folder): - 'GRAVIS-2B_2002095-2020091_GFZOP_0600_NFIL_0003.gz': Long-term mean field calculated as unweighted average of the 183 available GFZ RL06 GSM products in the period from 2002/04 up to and including 2020/03. - 'GRAVIS-2B_COSTG_GRACE+SLR_LOW_DEGREES_0003.dat': time series of coefficients C20, C30, C21 and S21 estimated from a combination of GRACE/GRACE-FO and SLR - 'GRAVIS-2B_GIA_ICE-6G_D_VM5a_0003.gz': Model from Peltier et al. (2018) for subtraction of linear trend caused by GIA - 'GRAVIS-2B_COSTG_GEOCENTER_0003.dat': Time series with geocenter coefficients estimated from COST-G RL01 Further information about the Level-2B products and the auxiliary data is provided in the header of the corresponding data files. --------------------------------------------------------------------------------------------- Version History: 21 April 2023: Release of Version 0003. This is an update of Version 0002 of the same data set (see changelog). 15 June 2020: Initial release of the data. Note that the initial version number is 0002 in order to reflect the consistent data processing of this data set and Version 0002 of the data set Dahle & Murböck (2019, https://doi.org/10.5880/GFZ.GRAVIS_06_L2B). All changes and updates are documented in the changelog available via the data download section. Previously released versions of this data set are available in the "old_versions" subfolder of the data download folder.
Post-processed GRACE/GRACE-FO spherical harmonic coefficients of COST-G RL02 Level-2 GSM products representing an estimate of Earth's gravity field variations during the specified timespan. Post-processing steps comprise: (1) subtraction of a long-term mean field; (2) optionally, decorrelation and smoothing with VDK filter (anisotropic filter taking the actual error covariance information of the underlying GSM coefficients into account, see Horvath et al. (2018)); (3) replacement of coefficients C20 and C30 (only for the months within the period from 2016/11 through 2017/06) and its formal standard deviations by values estimated from a combination of GRACE/GRACE-FO and Satellite Laser Ranging (SLR); (4) subtraction of linear trend caused by Glacial Isostatic Adjustment (GIA) as provided by a numerical model; (5) insertion of geocenter coefficients (C10, C11, S11); and (6) removal of estimated aliased signal of the S2 tide (161 days period). These coefficients represent signals caused by water mass redistribution over the continents and in the oceans. These post-processed GRACE/GRACE-FO GSM products are denoted as Level-2B products. There are multiple variants of Level-2B products available that differ by the characteristics of the anisotropic filter applied. These variants are distinguishable by the following strings in the product file names: - 'NFIL': Level-2B product is not filtered - 'VDK1': Level-2B product is filtered with VDK1 - 'VDK2': Level-2B product is filtered with VDK2 - 'VDK3': Level-2B product is filtered with VDK3 - 'VDK4': Level-2B product is filtered with VDK4 - 'VDK5': Level-2B product is filtered with VDK5 - 'VDK6': Level-2B product is filtered with VDK6 - 'VDK7': Level-2B product is filtered with VDK7 - 'VDK8': Level-2B product is filtered with VDK8 The individual auxiliary data sets and models used during the post-processing steps mentioned above are provided as well (in the aux_data folder): - 'GRAVIS-2B_COSTG_0200_2002095-2020091_NFIL_0001.gz': Long-term mean field calculated as unweighted average of the 183 available GFZ RL06 GSM products in the period from 2002/04 through 2020/03 - 'GRAVIS-2B_COSTG_0200_GRACE+SLR_LOW_DEGREES_0001.dat': Time series of coefficients C20, C30, C21 and S21 estimated from a combination of GRACE/GRACE-FO and SLR - 'GRAVIS-2B_COSTG_0200_GIA_ICE-6G_D_VM5a_0001.gz': Model from Peltier et al. (2018) for subtraction of linear trend caused by GIA - 'GRAVIS-2B_COSTG_0200_GEOCENTER_0001.dat': Time series with geocenter coefficients estimated from COST-G RL02.1 Further information about the Level-2B products and the auxiliary data is provided in the header of the corresponding data files. --------------------------------------------------------------------------------------------- Version History: 22 July 2025: Initial release of the data (Version 0001).
Spherical harmonic coefficients that are zero over the continents, and provide the anomalous simulated ocean bottom pressure that includes non-tidal air and water contributions elsewhere during the specified timespan. These coefficients differ from GLO (or GAC) coefficients over the ocean domain by disregarding upper air density anomalies. The anomalous signals are relative to the mean field from 2003-2014. --------------------------------------------------------------------------------------------- Version History: 19 September 2024: Release of Version 6.3. This is an update of Version 6.1 of the same data set (see changelog for details). Note that Version 6.2 was skipped to ensure consistent version numbering within the GRACE-FO Science Data System. 27 April 2022: Release of Version 6.1. This is an update of Version 6.0 of the same data set (see changelog for details). 12 June 2019: Initial release of the data (Version 6.0). All changes and updates are documented in the changelog available via the data download section (ftp://isdcftp.gfz-potsdam.de/grace-fo/Level-2/GFZ).
Spherical harmonic coefficients that represent the sum of the ATM (or GAA) and OCN (or GAB) coefficients during the specified timespan. These coefficients represent anomalous contributions of the non-tidal dynamic ocean to ocean bottom pressure, the non-tidal atmospheric surface pressure over the continents, the static contribution of atmospheric pressure to ocean bottom pressure, and the upper-air density anomalies above both the continents and the oceans. The anomalous signals are relative to the mean field from 2003-2014. --------------------------------------------------------------------------------------------- Version History: 19 September 2024: Release of Version 6.3. This is an update of Version 6.1 of the same data set (see changelog for details). Note that Version 6.2 was skipped to ensure consistent version numbering within the GRACE-FO Science Data System. 27 April 2022: Release of Version 6.1. This is an update of Version 6.0 of the same data set (see changelog for details). 12 June 2019: Initial release of the data (Version 6.0). All changes and updates are documented in the changelog available via the data download section (ftp://isdcftp.gfz-potsdam.de/grace-fo/Level-2/GFZ).
Spherical harmonic coefficients that represent anomalous contributions of the non-tidal dynamic ocean to ocean bottom pressure during the specified timespan. The anomalous signals are relative to the mean field from 2003-2014. --------------------------------------------------------------------------------------------- Version History: 19 September 2024: Release of Version 6.3. This is an update of Version 6.1 of the same data set (see changelog for details). Note that Version 6.2 was skipped to ensure consistent version numbering within the GRACE-FO Science Data System. 27 April 2022: Release of Version 6.1. This is an update of Version 6.0 of the same data set (see changelog for details). 12 June 2019: Initial release of the data (Version 6.0). All changes and updates are documented in the changelog available via the data download section (ftp://isdcftp.gfz-potsdam.de/grace-fo/Level-2/GFZ).
Spherical harmonic coefficients representing an estimate of Earth's mean gravity field during the specified timespan derived from GRACE-FO mission measurements. These coefficients represent the full magnitude of land hydrology, ice, and solid Earth processes. Further, they represent atmospheric and oceanic processes not captured in the accompanying GAC product. --------------------------------------------------------------------------------------------- Version History: 19 September 2024: Release of Version 6.3. This is an update of Version 6.1 of the same data set (see changelog for details). Note that Version 6.2 was skipped to ensure consistent version numbering within the GRACE-FO Science Data System. 27 April 2022: Release of Version 6.1. This is an update of Version 6.0 of the same data set (see changelog for details). 12 June 2019: Initial release of the data (Version 6.0). All changes and updates are documented in the changelog available via the data download section (ftp://isdcftp.gfz-potsdam.de/grace-fo/Level-2/GFZ).
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