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  • 1
    Publication Date: 2015-12-02
    Description: Horizontal-to-vertical spectral ratios of microtremors (MHVRs) have been interpreted as representing either the Rayleigh-wave ellipticity or the amplitude ratio of the sum of Rayleigh and Love waves in a horizontally layered structure. However, based on the recently established diffuse field concept, the theoretical form of MHVR has been proposed to be the square root of the ratio between the imaginary part of the horizontal Green’s function on the surface and that of the vertical one. The theory assumes that the energy of a wavefield inside the earth will be equipartitioned among the various states in 3D space. In the case of microtremors, this may occur for randomly applied point-force loadings on the surface after sufficient lapse time to allow multiple scattering. Recent works on diffuse fields suggest that equipartition may arise in several ways, but understanding the emergence of equipartition in realistic settings requires further scrutiny. In the meantime, the resulting formula is quite simple, and its meaning has theoretical support from deterministic exact solutions. As references, we use observed microtremor data from several sites that were reported previously and validate the diffuse field method (DFM) as an alternative method to explain observed MHVR. We use only sites with reliable velocity structures to compare different methods quantitatively. As a result, we found that the DFM solutions with the corresponding 1D layered structures well explain the observed MHVRs for most of the sites. Thus, we believe that MHVR can be used to invert a 1D velocity structure by using DFM as a theoretical tool.
    Print ISSN: 0037-1106
    Electronic ISSN: 1943-3573
    Topics: Geosciences , Physics
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  • 2
    Publication Date: 2014-04-04
    Description: Large horizontal ground motions with peak ground accelerations (PGAs) of more than 800 cm/s 2 and peak ground velocities of nearly 60 cm/s were observed at a KiK-net station, Iwase (IBRH11), during the 2011 M w  9.0 Tohoku, Japan, earthquake. We investigated site effects on the large ground motions by inverting the subsurface structure and simulating ground motions considering soil nonlinearity. The structure from the seismic bedrock to the surface in the linear regime was inverted from (1) array records of microtremors using Rayleigh-wave inversion, (2) surface-to-borehole spectral ratios of weak motions using S -wave inversion based on the 1D wave propagation theory, and (3) horizontal-to-vertical spectral ratios of weak motions using the inversion based on the diffuse-field theory for plane waves. The main cause of the large ground motions was found to be a strong impedance contrast between soft layers with an S -wave velocity ( V S ) of less than 381 m/s and a layer with V S =2371 m/s at a depth of 30 m. The strong motions at the surface during the 2011 Tohoku earthquake simulated by equivalent-linear analysis using borehole records at a depth of 103 m are in reasonable agreement with the observed records, whereas those simulated using linear analysis were approximately twice as large as the observed values. The results showed that the nonlinearity of the surface soils reduced the amplification factors and the PGAs by half compared with the values for the linear regime. The PGAs of the bedrock motions with V S =2371 m/s were estimated, using equivalent-linear analysis, to have reached approximately 500 cm/s 2 .
    Print ISSN: 0037-1106
    Electronic ISSN: 1943-3573
    Topics: Geosciences , Physics
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  • 3
    Publication Date: 2014-10-04
    Description: We propose an optimal way to use horizontal-to-vertical spectral ratios (HVRs) for subsurface structure exploration, based on the diffuse field concept ( Kawase et al. , 2011 ; Sanchez-Sesma et al. , 2011 ). This approach is applicable to both earthquake and microtremor ground motions. We show here analyses of the observed ground-motion data at and around a K-NET station in Miyagi Prefecture, Japan, where very large peak horizontal ground acceleration was observed during the earthquake of 11 March 2011 off the Pacific coast of Tohoku, Japan. We compare HVRs of the strong motions for the mainshock and the largest peak acceleration aftershock with those averaged over tens of weak motions to observe soil nonlinearity effects on the HVRs. Then, we determine detailed velocity profiles from the HVRs at the K-NET Tsukidate station and the temporary aftershock observation sites. We find that HVRs can be explained quite well by the identified velocity profiles at all the target sites. The observed peak at 9 Hz for the averaged weak-motion data originates in the topmost layers lying over the engineering bedrock.
    Print ISSN: 0037-1106
    Electronic ISSN: 1943-3573
    Topics: Geosciences , Physics
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