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Inversion of Geoids for Land Hydrology C: Seasonal Signal Analysis and Water Mass Distribution

This study focuses on the inversion of geoids for land hydrology using GRACE data and global models to analyze seasonal water storage variations. It includes predictive filtering, surface water mass distribution, and solving linear equations to estimate land water content accurately.

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Inversion of Geoids for Land Hydrology C: Seasonal Signal Analysis and Water Mass Distribution

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  1. INVERSION OF GRACE GEOIDS FOR LAND HYDROLOGY C. Reigber, R. Schmidt (GFZ, Potsdam) G. Ramillien, A. Cazenave (LEGOS, Toulouse) Seasonal signal in land water storage

  2. Global Models : Atmosphere : ECMWF(79-93), NCEP(79-96) Oceans : POCM(79-97),ORCA(92-99), MIT(85-96), ECCO assimilation (1993 -…) Soil moisture & Snow cover : LaD(81-98),GSWP(87-88),Huang(79-98) Observed monthly mean variations of the geoid A priori uncertainties of Models and GRACE obs. Inversion for « De-correlation » (Generalized least-squares matrix solving) STEP 1 Maps of geoid anomaly for each hydrological contribution Atmosphere Oceans Soil moisture Snow cover Predictive filtering of the spherical coefficients + compensation (elastic Earth’s response to surface loads) STEP 2 Distribution of surface water masses

  3. : solution vector formed by the list of all spherical harmonic coefficients to be solved • : vector formed with GRACE-derived geoid coefficients • : vector formed by the list of all spherical harmonic coefficients of the ‘first guess’ • : matrix composed of 4 diagonal blocks for separating the 4 reservoirs contributions • : covariance matrices of the ‘a priori’ GRACE errors and a priori model uncertainties • : covariance matrix which describes the statistical properties of the water mass variations in the ‘k-th’ reservoir The solution is computed by solving the linear equation:

  4. GRACE geoids : time span

  5. GRACE geoids (GFZ) April 2002 May 2002 November 2002

  6. May 2002-Nov.2002 (seasonal cycle) Total land water (soil water + snow) Lad(1rst guess) GSWP (1rst guess)

  7. May02-Nov02 (seasonal cycle) GRACE geoids from CSR Total land water (soil water + snow)

  8. May-Nov. (seasonal cycle); Models Total land water (soil water + snow) LaD GSWP

  9. Residuals : GRACE(GFZ) minus solution; seasonal cycle LaD as 1rst guess GSWP as 1rst guess

  10. Seasonal cycle of total land waters (April+May) 2002 minus November 2002 GFZ geoids Same solution whatever the first guess

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