Modelování vlastních kmitů Země použité na data ze supravodivých gravimetrů v nízkofrekvenční seismické oblasti

Zábranová, Eliška

Title: Numerical modeling of free oscillations applied to superconducting-gravimeter data in a low-frequency seismic range Author: Eliška Zábranová Department: Department of Geophysics Supervisor: Doc. RNDr. Ctirad Matyska, DrSc. Abstract: Deformations and changes of the gravitational potential of prestressed selfgravitating elastic bodies caused by free oscillations are described by means of the momentum and Poisson equations and the constitutive relation. For spheri- cally symmetric bodies we transform the equations and boundary conditions into ordinary differential equations of the second order by the spherical harmonic de- composition and further discretize the equations by highly accurate pseudospectral difference schemes on Chebyshev grids. We thus receive a series of matrix eigenvalue problems for eigenfrequencies and eigenfunctions of the free oscillations. Since elas- tic parameters are frequency dependent, we solve the problem for several fiducial frequencies and interpolate the results. Both the mode frequencies and the eigen- functions are benchmarked against the output from the Mineos software package based on Runge-Kutta integration techniques. Subsequently, we use our method to calculate low-frequency synthetic accelerograms of the recent megathrust events and compare them with the observed...

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