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Separation of mass signals from gravimetric and geometric observations

Mass displacements and motions inside and between individual components of the Earth system reflect dynamic processes which affect the rotation as well as the gravity field and the shape of the Earth.

The integral mass variations monitored by the satellite gravity mission GRACE contain amongst others atmospheric, oceanic and hydrological mass displacements. To identify mass transports within the Earth system it is necessary to separate the individual components. Like suggested in the illustration below geophysical models of the system components (e.g. WGHM in the case of continental hydrology) can be chosen to deduce adequate mathematical systems of functions. If the same method is applied to all accountable system components (hydrology, ocean and atmosphere) a total model for the gravitational potential is derived by combining the individual model approaches. This model consists of different systems of base functions for the spatial representation and unknown series coefficients reflecting the temporal evolution of the components. Since the GRACE system measures potential differences the unknown series coefficients can be calculated by parameter estimation. If they are estimated enhanced geophysical models exist (see illustration 2). These can be valuated by independent data like GPS time series or time series of supra-conduction gravimeter.

 

 

 

Development and solution of the mathematical models for separation
Estimation of enhanced geophysical model from GRACE observations

 

 

As system of base functions it is possible to choose Empirical Orthogonal Functions (EOF) which will be extracted from the Principal Component Analysis of the geophysical models. Consequently, the time-dependent principal components present the unknown parameters of the adjustment. If the monthly solutions of GRACE are used the estimated parameters mean discrete values with a discretization interval of one month.  If GRACE-L1B data is used instead, a temporal resolution of 5 seconds has to be considered alongside the satellite orbits. In this case an additional temporal modeling will be necessary. Besides a Fourier series a B-spline expansion can be chosen. In this approach also measurements of altimetry and data from other observation techniques can be used. Thus, the unknown parameters are calculable via a joint adjustment.

 

 

 


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