HR: 0800h
AN: S31A-0287 [Abstracts]
TI: Investigating unknowns in seismic interferometry with noncontacting
ultrasonics
AU: * van Wijk, K
EM: kasper@acoustics.mines.edu
AF: Physical Acoustics Laboratory and Department of Geophysics, 1500 Illinois st, Golden, CO 80401
United States
AB:
Cross-correlating an arbitrary input of a linear system with the
resulting output is the basic idea behind the matched filter. As far
back as 1950 it was known that using random noise as an input, the
cross-correlation would synthesize the impulse response of a linear
system. Matched filtering later found its way into geophysics, most
prominently in compressing vibroseis sweeps. Now, derivations showing
the emergence of the Green function between receivers have more
recently (re)surfaced. This result can intuitively be related to
matched filtering, considering that each receiver is a secondary
Huygens source. Arguments based on stationary phase, time-reversal,
and normal modes have led to the same conclusion that the impulse
response between two receivers can be obtained by the derivative of
the cross-correlation of the recorded wave fields in the presence of
equipartition of energy. Equipartition can be achieved in two
ways. First, an impulsive source can scatter in a heterogeneous medium
enough times so that an equal amount of energy is propagating in all
directions. Alternatively, one can imagine a scenario where a
(random) distribution of sources directly creates equipartitioned
energy. The late-time equipartitioned signal in the scattering case
and a distribution of random sources is conceptually the same.
However, it is not clear that equipartition is likely in the Earth in
general: scattering in the Earth can be strong, but so can absorption,
which attenuates the (higher frequency part of the ) signal. On the
other hand, passive sources (ocean waves, microseismic activity) might
be limit in space and time as well. Nevertheless, recent imaging
results in global and exploration scale seismic interferometry point
out that equipartition is not necessary to retrieve vital subsets of
the Green function between receivers. Especially, results in the
literature for retrieving the surface-wave response between receivers
are spectacular, while body-wave reflections between receivers have
not been observed. Here we present computer-controlled and
noncontacting laser ultrasonics that address outstanding issues in
seismic interferometry regarding the location,
amount, correlation and spacing of sources.
DE: 0935 Seismic methods (3025, 7294)
DE: 7205 Continental crust (1219)
DE: 7299 General or miscellaneous
SC: Seismology [S]
MN: Fall Meeting 2005