## Gaussian packets in the computation of seismic wavefields

**Ludek Klimes**
### Summary

A method of computing synthetic seismograms by
means of the three-parametric summation of Gaussian
packets over space is proposed. The expansion of the
wavefield specified in terms of a complex-valued amplitude
and a phase function into Gaussian packets is very similar
to the expansion into Gaussian beams, with the additional
summation over points along the rays. The initial
conditions for the wavefield, for which the initial
directions of the rays are time-independent (e.g. the point
source), are assumed. The summation is performed in the
frequency domain. The synthetic seismograms are then
evaluated by the fast Fourier transform for any source time
function. The method should not require a substantial
increase of the computational time with respect to the ray
and Gaussian beam methods.

### Keywords

Seismic waves, summation of Gaussian packets,
space-time Gaussian beams, high-frequency asymptotics,
paraxial approximation.

### Whole paper

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Geophys. J. int., **99** (1989), 421-433.

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