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Numerical modeling of free oscillations applied to superconducting-gravimeter data in a low-frequency seismic range
Zábranová, Eliška ; Matyska, Ctirad (advisor) ; Martinec, Zdeněk (referee) ; Vavryčuk, Václav (referee)
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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Ambient noise investigation of rock structures in Bohemian Paradise
Müller, Jozef ; Burjánek, Jan (advisor) ; Zábranová, Eliška (referee)
We carry out non-invasive ambient noise investigation of rock structures in Bohemian Paradise (Bohemian Cretaceous Basin, Czech Republic). The study is focused on two key topics: 1) An in-situ elastic moduli estimate of competent, horizontally deposited sandstone layers. This is done by performing an ambient noise array measurement. The recording is processed with f-k array analysis, from which frequency-dependent Love and Rayleigh wave dispersion curves as well as the Rayleigh wave ellipticity are retrieved. The data are inverted for P- and S-wave velocity profiles, from which the Young's and shear modulus are successfully estimated. 2) Study of local response of Kapelník rock tower. We analyse a dataset of ambient noise recordings from the top of the tower and from its foot. Information about tower oscillation frequencies and directions, together with amplification ratios, are retrieved from particle motion polarisation analysis and from site-to-reference spectral ratios. The Euler-Bernoulli beam theory is finally used to interpret the measured data using the elastic moduli estimated from the noise array measurement. Keywords: Bohemian Paradise, rock tower, seismic ambient noise, seismic surface waves
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Numerical modeling of free oscillations applied to superconducting-gravimeter data in a low-frequency seismic range
Zábranová, Eliška ; Matyska, Ctirad (advisor) ; Martinec, Zdeněk (referee) ; Vavryčuk, Václav (referee)
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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