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  • 1
    Publication Date: 2017-04-04
    Description: The representation of crustal structure in 3D numerical models often poses particular problems that are difficult to overcome. Practical implementations of an improved crustal model into efficient tools for seismic wave propagation modeling often fail to honor the strongly varying depth of the Moho discontinuity. The widely used Spectral Element Method (SEM) using hexahedral elements follows the compromise to approximate this undulating discontinuity with polynomials inside the elements. This solution is satisfactory when modeling seismic wave propagation on the global scale and limitedly to rather low frequencies, but may induce inaccuracies or artifacts when working at the continental scale, where propagation distances are in the order of a few hundred or thousand kilometers and frequencies of interest are up to 0.1 Hz. An alternative modeling tool for seismic wave propagation simulations is the Discontinuous Galerkin Finite Element Method (ADER-DG) that achieves high-order accuracy in space and time using fully unstructured tetrahedral meshes. With this approach strong and undulating discontinuities can be considered more easily by the mesh and modifications of the geometrical properties can be carried out rapidly due to an external mesh generation process. Therefore, we implement more realistic models for the European crust -- based on a new, comprehensive compilation of currently available information from diverse sources, ranging from seismic prospection to receiver functions studies -- in both, the SEM and ADER-DG codes, to study the effects of the numerical representation of crustal structures on seismic wave propagation modeling. We compare the results of the different methods and implementation strategies with respect to accuracy and performance. Clearly, an improved knowledge and detailed representation of the structure of the Earth's crust is a key requisite for better imaging of the mantle structure.
    Description: Published
    Description: San Francisco, California, USA
    Description: 3.3. Geodinamica e struttura dell'interno della Terra
    Description: open
    Keywords: crust ; wave propagation ; ADER-DG ; SEM method ; Europe ; 04. Solid Earth::04.06. Seismology::04.06.99. General or miscellaneous ; 04. Solid Earth::04.06. Seismology::04.06.09. Waves and wave analysis
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: Poster session
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  • 2
    Publication Date: 2017-04-04
    Description: Implementation of crustal structure challenges accuracy and efficiency of practical numerical solutions of the seismic wave equation. Extremely varying thickness of sedimentary layers and depth of Moho discontinuity create the need for finding viable compromises between speed and precision. We present a study of the influence of different numerical representations of crustal structure on synthetic seismograms. We focus our attention on the European continental scale and consider realistic models for the crust based on a new, comprehensive compilation of currently available information from diverse sources, ranging from seismic prospection to receiver function studies. We investigate different renditions of the Earth structure comparing two approaches: (i) computational meshes honoring the (laterally-varying) geometry of interfaces for a layered crust, and (ii) meshes smoothing out discontinuities of the crustal model within computational elements. The second approach results in computationally more efficient meshes, at the expense of some accuracy in the delineation of the structure, that is however known with some approximation. We compare seismograms, computed using different model discretization accuracies along 2D cross sections, to reference solutions derived from the most accurate structural representation. For the required seismic wave propagation simulations we use the Discontinuous Galerkin Finite Element Method (ADER-DG) providing high-order accuracy in space and time on unstructured meshes. With this approach strong and undulating discontinuities can be considered by the element interfaces and modifications of the geometrical properties can be carried out rapidly due to an external mesh generation process. We analyze the results of the different meshing strategies with respect to accuracy and computational effort. The analysis is based on time-frequency error measures of amplitude and phase misfits and aims at a clear definition of limits in the discretization approach of the crustal structure at the continental scale. Our results are crucial for the creation of computationally more demanding 3D tetrahedral meshes of the model of the European crust in order to understand how much structural detail has actually to be resolved to get sufficiently accurate synthetic data sets in a desired frequency band as this is essential to validate crustal models by comparisons to real seismic observations.
    Description: Published
    Description: Vienna, Austria
    Description: 3.1. Fisica dei terremoti
    Description: restricted
    Keywords: crust ; wave propagation ; ADER-DG ; misfit ; 04. Solid Earth::04.06. Seismology::04.06.99. General or miscellaneous ; 04. Solid Earth::04.06. Seismology::04.06.09. Waves and wave analysis
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: Poster session
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  • 3
    Publication Date: 2017-04-03
    Description: Looking into the structure, composition and behaviour of the Earth is one of the main goals of the seismic studies. Many geophysical problems — such as surface wave, group velocity and full waveform tomography , determination of mantle flows, gravity studies, source inversion — need plausible models as starting point for such studies. Crustal structure varies greatly over small scale length and has a strong effects on seismic waves. A priori models of the crust are thus often used to model seismic wave propagation at large distance and to account for shallow structure when imaging upper mantle structure. Focusing on forward earthquakes simulations, plausible crustal and mantle models are the first step to obtain realistic seismograms and results. Recent development in computer facilities and numerical methods — Spectral Element Method, ADER-DG method, Finite Difference method — enable to solve the wave equation in 3D complex media with high accuracy. These methods require a discrete representation of the investigation domain (mesh) through which we propagate wave. To model seismic wave propagation at the scale of a continent — i.e. signals travelling to stations a few hundred or thousand kilometers from the earthquake source — we have a problem connected to the detail and reliability of current models, that are sufficiently accurate when we look at the global scale, but often miss significant features at the scale of sedimentary basins and mountain ranges, that become very important as we zoom closer. Reliable and detailed information on these structures exist, for instance deriving from active-source studies, but are often not integrated in wide-area compilations such as desirable. At the European scale, it becomes clear that current crustal models are not adequate for modeling regional datasets with enough detail. The global model CRUST2.0 is frequently used for crustal correction and wave propagation, but its resolution is too low for continental-scale studies. Many other detailed information are available, but at different scales, with different information contents, and following different formats: this information needs to be merged into a larger-scale, coherent representation. The other important issue is that connected to the faithful implementation of a known structure in computational meshes used in forward simulations of wave propagation. The shallow crustal discontinuities indeed are difficult to represent, because of the small size of the shallower elements of the mesh that lead to a very short time step. In this study, I am mostly interested in addressing these two fundamental issues, i.e. how to retrieve a ’good’ crustal model for Europe, on the basis of existing knowledge, and how to best represent it for efficient, but accurate, numerical simulation of seismic wave propagation. In the first part (Chapter 1), we analyse the surface wave sensitivity to the crustal structure presenting an exercise, based on surface wave dispersion matching, to reparameterize CRUST2.0 global model in a simpler grid that can be considered equivalent to CRUST2.0 in modeling surface waves. The models is tested from a wave propagating point of view with SPECFEM-3D code. We collect all the informations available on the this region and we create a new comprehensive reference crustal model for the European plate (Chapter 2) that describes the complex structure of the Europe with higher resolution and more plausibility than previous models. However, we can improve the resolution of such large scale compilation: we collect tens of seismic lines in the East Alps region (Chapter 3) building up, applying a geostatistics technique, a complete regional crustal model of that area that was included in EPcrust. This would be an example in which new local models could be developed and integrated in the continental one. The results are available on www.bo.ingv.it/eurorem/EPcrust. Since new models are available, before starting a 3D implementation of the models in numerical methods, in Chapter 4 we quantitatively analyse in 2D the influence of the representation and uncertainties in the knowledge of crustal parameters on simulated wave field. We evaluate different synthetic test cases respect to the reference, analysing the frequency and source-receiver-distance dependence of our approximations. For the simulations, we use an high order ADER-DG scheme implemented in the SeisSol2D code able to honour the discontinuities in the crust with high fidelity. From a seismological point of view the next step after developing a model would be a validation of the model itself. In chapter 5, we go through a validation process of EPcrust. The main goal is to understand if our new model is able to give a better fit of the real data. We use the Spectral Element Method as implemented in SPECFEM3D-Globe. This choice would be a compromise between accuracy of the representation of the crustal structure and computational cost. The ADER-DG methods, well suited for an accurate representation of the sharp interface within the crust, is at the moment computationally too expensive for 3D simulations at continental scale. At the and of this thesis, we give a brief overview on methods and theory applied to obtain our results.
    Description: University of Bologna
    Description: Published
    Description: 3.3. Geodinamica e struttura dell'interno della Terra
    Description: open
    Keywords: Europe ; crust ; crustal structure ; seismic velocity ; wave propagation ; Spectral Element Method ; ADER-DG ; 04. Solid Earth::04.06. Seismology::04.06.09. Waves and wave analysis
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: thesis
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