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Issue Date: 31-May-2011
Authors: Spata, Alessandro
Title: SISTEM: a new method to integrate geodetic and satellite data to estimate 3D ground deformation maps
Abstract: We propose a new technique, based on the elastic theory, to efficiently produce an estimate of three-dimensional surface displacement maps by integrating sparse Global Positioning System (GPS) measurements of deformations and Differential Interferometric Synthetic Aperture Radar (DInSAR) maps of movements of the Earthà à à à à ¢ s surface. Previous approaches known in literature to combine GPS and DInSAR data require two steps: a first step in which sparse GPS measurements are interpolated in order to fill in GPS displacements in the DInSAR grid, and a second step to estimate the three-dimensional surface displacement maps by using a suitable optimization technique. One of the advantages of the proposed approach, with respect to the previous ones, is that it does not require preliminary interpolation of the observed deformation pattern. Indeed, we propose a linear matrix equation which accounts for both GPS and DInSAR data whose solution provides simultaneously the strain tensor, the displacement field and the rigid body rotation tensor. The mentioned linear matrix equation is solved by using the Weighted Least Square (WLS), thus assuring both numerical robustness and high computation efficiency. The proposed methodology was tested on both synthetic and experimental data, these last from GPS and DInSAR measurements carried out on Mt. Etna during the 2003-2004 time interval. In order to appreciate the results accuracy standard estimated errors are provided. These tests also allow optimising the choice of specific parameters of this algorithm. This method can be further exploited to account for other available data sets, such as additional interferograms, or other geodetic data (e.g. levelling, tilt, etc.), in order to achieve higher accuracy.
Appears in Collections:Area 09 - Ingegneria industriale e dell'informazione

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