Abstract
We propose a high-resolution technique for estimating the source time
function of a seismic event from only one record. This technique
is based on the spectral factorization of the minimum phase wavelet
from the most random part of a seismogram: its coda. As the coda
non-stationarity is inconsistent with the classical spectral factorization
theory, we develop a two-step algorithm: first, the diffuse coda
field is whitened to remove the non-stationary attenuation effect;
second, the minimum phase wavelet equivalent of the seismic source
time function is estimated. Applied to the recordings of the Kursk's
wreck, this method gives a source wavelet strikingly similar to the
general shape of an underwater explosion, allowing us to infer its
depth and yield. Based on the fundamental ” random” character
of diffusive waves, this approach opens up promising applications
for new blind deconvolution methods.
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