The topic of this contribution is the use of the integrated multiscale approach to model the deformation field in volcanic framework retrieved through Differential Interferometric Synthetic Aperture Radar (DInSAR) technique. Specifically, the proposed approach is based on the properties of the harmonic elastic fields satisfying the homogeneity laws and involves multi-scale procedures, such as the Multiridge and ScalFun methods, and boundary analysis techniques, such as the Total Horizontal Derivative (THD). These methodologies allow an unambiguous estimate of the geometrical parameters of the deformation sources, which are the depth, the horizontal position, its shape and horizontal extent, and have turned out to be valid tools for studying simple field sources. We now show the application of the integrated multiscale approach to model sources with any geometry, also irregular. To do this, we perform several synthetic data tests based on simulated deformation field through COMSOL Multiphysics software package; the results show that we are able to estimate geometrical parameters of geometrically irregular bodies without using any reference model. Finally, we propose an application to real ground deformation dataset, that is the case of the 2004 – 2010 uplift episode occurred at Yellowstone caldera resurgent domes area. We conclude by highlighting the advantages of the proposed methodology and the future developments (in progress) arising from the harmonic properties of elastic deformation fields.
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Barone et al. (2024) studied this question.
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