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Last update: T_KG (09.05.2013)
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Last update: T_KG (09.05.2013)
The aim of the lecture is to provide students with the theory of prestressed self-gravitating bodies and its application in seismology. |
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Last update: prof. RNDr. František Gallovič, Ph.D. (10.06.2019)
Oral exam |
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Last update: T_KG (09.05.2013)
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Last update: T_KG (09.05.2013)
Lecture |
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Last update: T_KG (09.05.2013)
Basic axioms in continuum mechanics, the Cauchy and Piola-Kirchhoff stress tensors and momentum equations, boundary conditions; linearized theory - relation between the Cauchy and Piola-Kirchhoff stress tensors in a prestressed body and the momentum equation for a general model of the Earth. Eigenfrequencies and eigenfunctions of the SNREI model Decomposition to toroidal and spheroidal oscillations using spherical harmonics; first- and second-order ordinary-differential-equation eigenproblems and numerical methods of their solution, the MINEOS code and the program based on direct numerical discretization. Influence of ellipticity, rotation and the Coriolis force, calculation of the quality factors of normal modes Multiplet splittings - first and second order effects, relation between frequency-dependence of elastic moduli and the quality factors of normal modes. Synthetic-seismograms and co-seismic-response calculations Seismic-moment tensor, calculations of synthetic seismograms and co-seismic response for spherical models with non-splitted multiplets, synthetic seismograms for splitted multiplets. Inverse problem for seismic-source parameters Data from broadband seismographs, superconducting gravimeters and GNSS stations, sensitivity of normal modes to seismic-moment-tensor parameters. Theory of splitting for aspherical structural models Perturbation theory for isolated multiplets. |