Abstract
Influences on the ground motion simulations by soil amplification effects and multiple seismic wave interferences in the heterogeneous medium are investigated. Detailed velocity structure obtained from the microtremor array survey is adopted in the ground motion simulation. Analyses for amplification ratios of core samples of ten drill holes with 40 m deep in the sedimentary layers show that the soil amplification ratio influences nonlinearly the seismic ground motion. Based on the above analysis results, the ground motion in the heavily damaged zone in the Japanese Kobe earthquake of 1995 is simulated in a digital SH seismic wave model by using the pseudospectral method with the staggered grid RFFT differentiation (SGRFFTD). The simulated results suggest that the heterogeneous velocity structure results in a complicated distribution of the maximum amplitudes of acceleration waveforms with multiple peaks at the surface. Spatial distribution of the maximum amplitudes coincides well with that of collapse ratios of buildings in Kobe. The dual peaks of the collapse ratios away from the earthquake fault coincide well with the double peak amplitudes of simulated seismic acceleration waves also. The cause for the first peak amplitude of the ground motion is attributable to the interference of the secondary surface wave from the bedrock propagating horizontally along the surface sedimentary layer and the body wave from the basin bottom according to analyses of wave snapshots propagating in inhomogeneous structure of the Osaka group layers. The second peak amplitude of the ground motion may be attributive to the interference of the secondary surface wave from the tunneling waves in the shallow sediments and the body wave. It is important for the study on complicated distributions of earthquake damages to investigate influences on the ground motion by soil amplification effects and multiple seismic wave interferences due to the structure. Explorations of the structure to the bedrock are necessary for the urban mitigation disaster. Seismic wave simulations are valid for aseismatic study.
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References
Frankel, A., Mapping seismic hazard in the central and eastern United States, Seism. Res. Let., 1995, 66: 8–21.
Graves, R. W., Three dimensional finite difference modeling of the San Andreas fault: Source parameterization and ground motion levels, Bull. Seism. Soc. Am., 1998, 88: 881–897.
Zhao, Z. X., Xu, J. R., Horiuchi, H., Differentiation operation in the wave equation for the pseudospectral method with a staggered mesh, Earth Planets Space, 2001, 53: 327–332.
Somerville, P. G., Smith, N. F., Graves, R. W., Modification of empirical strong ground motion attenuation relations to include the amplitude and duration effects of rupture directivity, Seismological Research Litters, 1997, 68: 199–222.
Iwata, T., Hatayama, K., Kawase, H. et al., Site amplification of ground motions during aftershocks of the 1995 Hyogo-ken Nanbu earthquake in severely damaged zone—Array observation of ground motions in Higashinada ward, Kobe city, Japan, J. Phys. Earth., 1996, 44: 553–561.
Zhao, Z. X., Kubota, R., Suzuki, F. et al., Crustal structure in the Southern Kanto-Tokai region derived from tomographic method for seismic explosion survey, Journal of Physics of the Earth, 1997, 45: 433–453.
Holzer, T. L., Youd, T. L., Hanks, T. C., Dynamics of liquefication during 1987 Superstition Hills, California earthquake, Science, 1989, 244: 56–59.
Kawase, H., The cause of the damage belt in Kobe: “The basin-edge effect,” Constructive interference of the direct S-wave with the basin-induced diffracted/Rayleigh waves, Seismological Research Letters, 1996, 67: 25–34.
Zhao, Z. X., Xu, J. R., Staggered grid real value FFT differentiation and the application, Chinese Journal of Geophysics (in Chinese with English abstract), 2003, 46: 234–240.
Irikura, K., Causative fault, strong ground motion and damages from the 1995 hyogoken Nanbu earthquake, Butsuri-Tansa (in Japanese with English abstract), 1995, 48: 463–489.
Fukushima, Y., Tanaka, T., A new attenuation relation for peak horizontal acceleration of strong earthquake ground motion in Japan, Bull. Seism. Soc. Am., 1990, 80: 757–783.
Fujiwara, H., Takenaka, H., Calculation of surface waves for a thin basin structure using a direct boundary element method with normal modes, Geophys. J. Int., 1994, 117: 69–91.
Hao, X., Seo, K., Samano, T., Low damage anomaly of the 1976 Tangshan earthquake: An analysis based on the explosion ground motions, Bull. Seism. Soc. Am., 1994, 84: 1081–1027.
Kosloff, D., Reshef, M., Loewenthal, D., Elastic wave calculations by the Fourier method, Bulletin of the Seismological Society of America, 1984, 74: 875–891.
Yoshikawa, S., Ito, H., Summary for the 1995 Hyogo-ken Nanbu earthquake, Chikyu Monthly, Special issue (in Japanese), 1995, 13: 30–38.
Sekiguchi, H., Irikura, K., Iwata, T. et al., Minute locating of faulting beneath Kobe and the waveform inversion of the source process during the 1995 Hyogo-ken Nanbu, Japan, earthquake using strong ground motion records, J. Phys. Earth., 1996, 44: 473–487.
Pitraka, A., Irikura, K., Iwata, T., Three-dimensional simulation of the near-fault ground motion for the 1995 Hyogo-ken Nanbu (Kobe), Japan, earthquake, Bull. Seism. Soc. Am., 1998, 88: 428–440.
Kawase, H., Matsushima, S., Graves, R. W. et al., Three-dimensional wave propagation—The cause of the damage belt during the 1995 Hyogo-ken Nanbu earthquake, Zishin (in Japanese with English abstract), 1998, 50: 431–449.
Zhao, Z. X., Xu, J. R., Kubota, R. et al., Collapse ratios of buildings due to the 1995 Kobe earthquake and interference between S-wave and the second surface wave at basin edge, Chinese Science Bulletin, 2004, 49(2): 189–195.
Ishikawa, K., Mizoguchi, S., Oshika, A., Geology in Kobe area and investigation of the disaster on the 1995 south Hyogo great earthquake, Journal of the Japan Society of Engineering Geology (in Japanese with English abstract), 1995, 36: 62–80.
Aki, K., Local site effects on weak and strong ground motion, Tectonophysics, 1993, 218: 93–111.
Zhao, Z. X., Kubota, R., The distribution of strong ground motion from uppermost crustal structure—Comparison with disaster from the Hyogo-ken Nanbu earthquake, Proceeding of the 97th SEGJ Conference (in Japanese with English abstract), 1997, 71–74.
Zhao, Z. X., Xu, J. R., Horiuchi, S., Staggered grid real value FFT differentiation operator and its application for wave propagation simulation in heterogeneous medium, Chinese Journal of Geophysics, 2003, 46: 324–333.
Hu, L. X., Engineering Seismology, Beijing: Seismologic Press, 1988, 150–173.
Reshef, M., Kosloff, D., Edwards, M. et al., Three-dimensional elastic modeling by the Fourier method, Geophysics, 1988, 53: 1184–1193.
Furumura, T., Kennett, B. L. N., Takenaka, H., Parallel 3-D pseudospectral simulation of seismic wave propagation, Geophysics, 1998, 63: 279–288.
Wang, Y., Takenaka, H., Furumura, T., Modelling seismic wave propagation in a 2-D cylindrical whole earth model using the pseudospectral method, Geophys. J. Int., 2001, 145: 689–708.
Zhao, Z. X., Xu, J. R., Yang, W. C. et al., Simulations of reflection seismic profile of borehole area of Chinese Continental Scientific Drilling, Acta Petrologica Sinica (in Chinese with English abstract), 2004, 20: 127–136.
Zhao, Z. X., Xu, J. R., Basin geological structure and the simulations for mechanism of seismic disaster, Acta Geologica Sinica, 2004, 78: 954–959.
Kubo, T., Earthquake-resisting technologies for building structures, evaluation of seismic resisting capacity of existing buildings brick-wall buildings in Shanghai, China, in WG-1 Earthquake-resisting Technologies for Building Structures, 3rd EQTAP Workshop, Nov 28–30, 2000, Manila Philippines. Organization Committee for the 3rd EQTAP Workshop, 2000, 67–74.
Cerjan, C., Kosloff, D., Koskoff, R. et al., A nonreflecting boundary condition for discrete acoustic and elastic wave equations, Geophysics, 1985, 50: 705–708.
Furumura, T., Takenaka, H., A stable method for numerical differentiation of data with discontinuities at end-points by means of Fourier transform-symmetric differentiation, Geophys. Expl., 1992, 45: 303–309.
Boatwright, K., Correlation of ground motion and the intensity for the 17 January 1994 Northridge, California Earthquake, BSSA, 2001, 91: 739–752.
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Zhao, Z., Xu, J. & Ryuji, K. Effects of soil amplification ratio and multiple wave interference for ground motion due to earthquake. Chin.Sci.Bull. 49, 2405–2414 (2004). https://doi.org/10.1007/BF03183430
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DOI: https://doi.org/10.1007/BF03183430