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Spudich, Paul; Ascher, Uri

Calculation of complete theoretical seismograms in vertically varying media using collocation methods. (English) Zbl 0525.73122

Geophys. J. R. Astron. Soc. 75, 101-124 (1983).
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scan of Zbl 0525.73122

MSC:

74L05 Geophysical solid mechanics
86A15 Seismology (including tsunami modeling), earthquakes
74S99 Numerical and other methods in solid mechanics
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
74J99 Waves in solid mechanics
74H50 Random vibrations in dynamical problems in solid mechanics

Keywords:

complete theoretical seismograms; earth models; velocity, density and attenuation profiles are arbitrary piecewise-continuous functions of depth only; solutions for stress-displacement vectors expanded in terms of orthogonal cylindrical functions; seismic source applied at Earth’s surface; radiation condition applied at depth; two-point boundary value problem; collocation technique; solutions for expansion coefficients obtained in depth, frequency and horizontal wavenumber domain; transformed strain tensor at depth formed by linear combinations of solutions; transformed back into space and time domain; successive application of Bessel transform, fast Fourier transform, and multiplication of time signal; strain tensor contracted with seismic moment tensor; reciprocity relation for Green’s functions; displacements at Earth’s surface
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