Physics
Scientific paper
Aug 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995geoji.122..537f&link_type=abstract
Geophysical Journal International, Vol. 122, No. 2, p. 537 - 550
Physics
34
Earth: Seismicity
Scientific paper
The authors present a new method to calculate complete synthetic seismograms for a spherically symmetric Earth model which uses neither eigenfrequencies and eigenfunctions nor an Earth-flattening transformation. The response of the Earth to a moment tensor point source is evaluated in the frequency domain for both spheroidal and toroidal motion by numerical integration of the appropriate system of ordinary differential equations with source term and summation over vector spherical harmonics. Attenuation is included by using complex elastic moduli. Owing to the discrete sampling of the response in the frequency domain, the numerical effort is proportional to the length of the desired time series for a fixed maximum frequency. Time aliasing is suppressed by evaluating the response at complex frequencies with constant imaginary part. The authors have compared synthetic seismograms obtained by the new method with normal-mode seismograms up to a frequency of 20 mHz and achieve excellent agreement for all three components. The accuracy of the method is further corroborated by comparisons with real data up to a frequency of 200 mHz. The authors tested the numerical scheme up to frequencies of 1 Hz and harmonic degrees of 12000 and did not find any numerical instabilities. The approach sheds some light on how normal modes make up body waves.
Dalkolmo Jörg
Friederich Wolfgang
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