Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000geoji.141..157d&link_type=abstract
Geophysical Journal International, Volume 141, Issue 1, pp. 157-174.
Astronomy and Astrophysics
Astronomy
157
Body Waves, Fréchet Derivatives, Global Seismology, Ray Theory, Tomography, Traveltime
Scientific paper
We use body wave ray theory in conjunction with the Born approximation tocompute 3-D Fréchet kernels for finite-frequency seismic traveltimes, measured by cross-correlation of a broad-band waveform with a spherical earth synthetic seismogram. Destructive interference among adjacent frequencies in the broad-band pulse renders a cross-correlation traveltime measurement sensitive only to the wave speed in a hollow banana-shaped region surrounding the unperturbed geometrical ray. The Fréchet kernel expressing this sensitivity is expressed as a double sum over all forward-propagating body waves from the source and backward-propagating body waves from the receiver to every single scatterer in the vicinity of this central ray. The kernel for a differential traveltime, measured by cross-correlation of two phases at the same receiver, is simply the difference of the respective single-phase kernels. In the paraxial approximation, an absolute or differential traveltime kernel can be computed extremely economically by implementing a single kinematic and dynamic ray trace along each source-to-receiver ray.
Dahlen F. A.
Hung Shu-Huei
Nolet Guust
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