Improved daily GRACE gravity field solutions using a Kalman smoother

Abstract Different GRACE data analysis centers provide temporal variations of the Earth's gravity field as monthly, 10-daily or weekly solutions. These temporal mean fields cannot model the variations occurring during the respective time span. The aim of our approach is to extract as much temporal information as possible out of the given GRACE data. Therefore the temporal resolution shall be increased with the goal to derive daily snapshots. Yet, such an increase in temporal resolution is accompanied by a loss of redundancy and therefore in a reduced accuracy if the daily solutions are calculated individually. The approach presented here therefore introduces spatial and temporal correlations of the expected gravity field signal derived from geophysical models in addition to the daily observations, thus effectively constraining the spatial and temporal evolution of the GRACE solution. The GRACE data processing is then performed within the framework of a Kalman filter and smoother estimation procedure. The approach is at first investigated in a closed-loop simulation scenario and then applied to the original GRACE observations (level-1B data) to calculate daily solutions as part of the gravity field model ITG-Grace2010. Finally, the daily models are compared to vertical GPS station displacements and ocean bottom pressure observations. From these comparisons it can be concluded that particular in higher latitudes the daily solutions contain high-frequent temporal gravity field information and represent an improvement to existing geophysical models.

[1]  Maik Thomas,et al.  Simulation and observation of global ocean mass anomalies , 2007 .

[2]  Enrico Kurtenbach,et al.  Entwicklung eines Kalman-Filters zur Bestimmung kurzzeitiger Variationen des Erdschwerefeldes aus Daten der Satellitenmission GRACE , 2011 .

[3]  The Release 04 CHAMP and GRACE EIGEN Gravity Field Models , 2010 .

[4]  Jeffrey P. Walker,et al.  THE GLOBAL LAND DATA ASSIMILATION SYSTEM , 2004 .

[5]  A. Eicker,et al.  Deriving daily snapshots of the Earth's gravity field from GRACE L1B data using Kalman filtering , 2009 .

[6]  D. Chambers,et al.  Evaluation of high‐frequency oceanographic signal in GRACE data: Implications for de‐aliasing , 2011 .

[7]  Grzegorz Michalak,et al.  GFZ GRACE Level-2 Processing Standards Document for Level-2 Product Release 0005 , 2012 .

[8]  M. Watkins,et al.  The gravity recovery and climate experiment: Mission overview and early results , 2004 .

[9]  D. Simon Optimal State Estimation: Kalman, H Infinity, and Nonlinear Approaches , 2006 .

[10]  Arthur Gelb,et al.  Applied Optimal Estimation , 1974 .

[11]  H. Moritz Advanced Physical Geodesy , 1980 .

[12]  M. Rothacher,et al.  System Earth via Geodetic-Geophysical Space Techniques , 2010 .

[13]  Peter Steigenberger,et al.  Vertical deformations from homogeneously processed GRACE and global GPS long-term series , 2011 .

[14]  A. Eicker,et al.  ITG-Grace2010: the new GRACE gravity field release computed in Bonn , 2010 .

[15]  Torsten Mayer-Gürr,et al.  Gravitationsfeldbestimmung aus der Analyse kurzer Bahnbögen am Beispiel der Satellitenmissionen CHAMP und GRACE , 2008 .

[16]  R. Reynolds,et al.  The NCEP/NCAR 40-Year Reanalysis Project , 1996, Renewable Energy.

[17]  C. Striebel,et al.  On the maximum likelihood estimates for linear dynamic systems , 1965 .

[18]  Florent Lyard,et al.  Modeling the barotropic response of the global ocean to atmospheric wind and pressure forcing ‐ comparisons with observations , 2003 .

[19]  N. G. Val’es,et al.  CNES/GRGS 10-day gravity field models (release 2) and their evaluation , 2010 .

[20]  Olaf Boebel,et al.  Validation of GRACE Gravity Fields by In-Situ Data of Ocean Bottom Pressure , 2010 .

[21]  黄晓燕,et al.  IgG , 2010, Definitions.

[22]  P. Döll,et al.  A global hydrological model for deriving water availability indicators: model tuning and validation , 2003 .

[23]  J. Bouman Quality assessment of satellite-based global gravity field models , 2000 .

[24]  A. Eicker,et al.  ITG-Grace02s: a GRACE gravity field derived from range measurements of short arcs , 2007 .

[25]  Petra Döll,et al.  Value of river discharge data for global-scale hydrological modeling , 2007 .