HR: 1340h
AN: S33A-0298 [Abstracts]
TI: A Centerless Circular Array Method: Extracting Maximal Information on Phase Velocities of Rayleigh
Waves From Microtremor Records From a Simple Seismic Array
AU: * Cho, I
EM: ikuo-chou@aist.go.jp
AF: Geological Survey of Japan, AIST, Central 7, 1-1-1 Higashi, Tsukuba, 305-8567
Japan
AU: Tada, T
EM: kogutek@rs.kagu.tus.ac.jp
AF: Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo, 162-8601
Japan
AU: Shinozaki, Y
EM: sinozaki@rs.kagu.tus.ac.jp
AF: Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo, 162-8601
Japan
AB:
We have developed a Centerless Circular Array (CCA) method of microtremor exploration, an algorithm that enables to estimate
phase velocities of Rayleigh waves by analyzing vertical-component records of microtremors that are obtained with an array of
three or five seismic sensors placed around a circumference. Our CCA method shows a remarkably high performance in
long-wavelength ranges because, unlike the frequency-wavenumber spectral method, our method does not resolve individual
plane-wave components in the process of identifying phase velocities. Theoretical considerations predict that the resolving
power of our CCA method in long-wavelength ranges depends upon the SN ratio, or the ratio of power of the propagating
components to that of the non-propagating components (incoherent noise) contained in the records from the seismic array. The
applicability of our CCA method to small-sized arrays on the order of several meters in radius has already been confirmed in
our earlier work (Cho et al., 2004).
We have deployed circular seismic arrays of different sizes at test sites in Japan where the underground structure is well
documented through geophysical exploration, and have applied our CCA method to microtremor records to estimate phase
velocities of Rayleigh waves. The estimates were then checked against "model" phase velocities that are derived from
theoretical calculations. For arrays of 5, 25, 300 and 600 meters in radii, the estimated and model phase velocities
demonstrated fine agreement within a broad wavelength range extending from a little larger than 3r (r: the array radius) up
to at least 40r, 14r, 42r and 9r, respectively. This demonstrates the applicability of our CCA method to arrays on the order
of several to several hundreds of meters in radii, and also illustrates, in a typical way, the markedly high performance of
our CCA method in long-wavelength ranges.
We have also invented a mathematical model that enables to evaluate the SN ratio in a given microtremor field, and have
applied it to real data. Theory predicts that our CCA method underestimates the phase velocities when noise is present. Using
the evaluated SN ratio and the phase velocity dispersion curve model, we have calculated the apparent values of phase
velocities which theory expects should be obtained by our CCA method in long-wavelength ranges, and have confirmed that the
outcome agreed very well with the phase velocities estimated from real data. This demonstrates that the mathematical
assumptions, on which our CCA method relies, remains valid over a wide range of wavelengths which we are examining, and also
implies that, even in the absence of a priori knowledge of the phase velocity dispersion curve, the SN ratio evaluated with
our mathematical model could be used to identify the resolution limit of our CCA method in long-wavelength ranges.
We have thus been able to demonstrate, on the basis of theoretical considerations and real data analysis, both the
capabilities and limitations of our CCA method.
DE: 0935 Seismic methods (3025, 7294)
DE: 7212 Earthquake ground motions and engineering seismology
DE: 7255 Surface waves and free oscillations
SC: Seismology [S]
MN: Fall Meeting 2005