Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004geoji.157..315d&link_type=abstract
Geophysical Journal International, Volume 157, Issue 1, pp. 315-331.
Astronomy and Astrophysics
Astronomy
12
Integral Transforms, Inverse Theory, Tomography, Traveltime
Scientific paper
We derive an explicit formula relating a recovered 3-D seismic slowness image to the actual seismic slowness under the assumption that a tomographically complete collection of finite-frequency traveltime shifts is inverted using linearized ray theory. The tomographically recovered image is blunted, or diminished in amplitude, and blurred, or spread laterally, as a result of wave front healing and other finite-frequency diffraction effects. The 1-D spreading varies as the cube root of the amplitude reduction, so that total volume-integrated slowness is conserved.
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