A comparison of observed and simulated site response in the Rhône valley

SUMMARY Site effects in the city of Sion in the Rhone valley are analysed from weak motion signals recorded on a dense temporary array. We simulate the recorded events with a 3-D finite differ- ence method for frequencies up to 4 Hz using a recently developed velocity model of the Sion basin. Site-to-reference Fourier spectral ratios are computed from 16 local and regional events. All sites exhibit amplification factors of up to 12 between 0.5 and 0.6 Hz, which can be reproduced by the numerical simulations. By rotating the weak motion to directions parallel and perpendicular to the valley axis, we show that this low-frequency amplification is caused by the SH00 and SV0 fundamental modes of 2-D resonance. Additional peaks of amplification can be observed at higher frequencies, with amplification factors of up to 20 at some sites. Application of the high-resolution frequency-wavenumber and the multiple signal char- acterization method to the vertical component of recorded and simulated signals show that edge-generated surface waves arriving from almost all directions dominate the wavefield at 1.25 and 2.50 Hz. Peak ground velocities computed from the simulated ground motion show interference patterns that depend strongly on the incidence direction, and the computed amplification of peak ground velocities are generally in agreement with the observations. We conclude that the complex 3-D geometry of the basin needs to be considered to evaluate site effects up to at least 2.5 Hz.

[1]  S. Hartzell,et al.  Site Response, Shallow Shear-Wave Velocity, and Wave Propagation at the San Jose, California, Dense Seismic Array , 2003 .

[2]  Cécile Cornou,et al.  Contribution of Dense Array Analysis to the Identification and Quantification of Basin-Edge-Induced Waves, Part II: Application to Grenoble Basin (French Alps) , 2003 .

[3]  H. Maurer Seismotectonics and upper crustal structure in the western swiss alps , 1993 .

[4]  J. Douglas,et al.  Internet site for European strong-motion data , 2004 .

[5]  R. D. Borcherdt,et al.  Sediment-induced amplification and the collapse of the Nimitz Freeway , 1990, Nature.

[6]  Arthur Frankel,et al.  A three-dimensional simulation of seismic waves in the Santa Clara Valley, California, from a Loma Prieta aftershock , 1992 .

[7]  P. Bard,et al.  The two-dimensional resonance of sediment-filled valleys , 1985 .

[8]  Hiroshi Kawase,et al.  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 , 1996 .

[9]  D. Giardini,et al.  Earthquakes in Switzerland and surrounding regions during 2005 , 2006 .

[10]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[11]  Donat Fäh,et al.  Reconstructing the damage field of the 1855 earthquake in Switzerland: historical investigations on a well-documented event , 2006 .

[12]  A. Frankel,et al.  Observations of Basin Ground Motions from a Dense Seismic Array in San Jose, California , 2001 .

[13]  W. B. Joyner Strong motion from surface waves in deep sedimentary basins , 2000 .

[14]  R. Schmidt,et al.  Multiple source DF signal processing: An experimental system , 1986 .

[15]  Donat Fäh,et al.  Earthquakes in Switzerland and surrounding regions during 2004 , 2005 .

[16]  P. Maechling,et al.  Strong shaking in Los Angeles expected from southern San Andreas earthquake , 2006 .

[17]  Corine Frischknecht,et al.  Seismic Soil Effect in an Embanked Deep Alpine Valley: A Numerical Investigation of Two-Dimensional Resonance , 2004 .

[18]  Donat Fäh,et al.  Two-dimensional resonances in Alpine valleys identified from ambient vibration wavefields , 2006 .

[19]  Thomas Kailath,et al.  Detection of signals by information theoretic criteria , 1985, IEEE Trans. Acoust. Speech Signal Process..

[20]  Donat Fäh,et al.  Array measurements of S‐wave velocities from ambient vibrations , 2004 .

[21]  Roberto Paolucci,et al.  Shear Resonance Frequencies of Alluvial Valleys by Rayleigh's Method , 1999 .

[22]  C. Frischknecht,et al.  Toward Seismic Microzonation—2-D Modeling and Ambient Seismic Noise Measurements: The Case of an Embanked, Deep Alpine Valley , 2005 .

[23]  Edward H. Field,et al.  Spectral amplification in a sediment-filled Valley exhibiting clear basin-edge-induced waves , 1996, Bulletin of the Seismological Society of America.

[24]  D. Giardini,et al.  Identifying 2D Resonance in Microtremor Wave Fields , 2003 .

[25]  P. Heitzmann,et al.  Incision and backfilling of Alpine valleys: Pliocene, Pleistocene and Holocene processes , 1995 .

[26]  T. Ohmachi,et al.  Ground Motion Characteristics Estimated from Spectral Ratio between Horizontal and Verticcl Components of Mietremors. , 1997 .

[27]  Donat Fäh,et al.  Earthquake Catalogue of Switzerland (ECOS) and the Related Macroseismic Database , 2003 .

[28]  Matthias Ohrnberger,et al.  Surface-wave inversion using a direct search algorithm and its application to ambient vibration measurements , 2004 .

[29]  Aspasia Zerva,et al.  Estimation of signal characteristics in seismic ground motions , 1996 .

[30]  Donat Fäh,et al.  A combined inversion of Rayleigh wave dispersion and 2-D resonance frequencies , 2007 .

[31]  Pierre-Yves Bard,et al.  The seismic response of sediment-filled valleys. Part 2. The case of incident P and SV waves , 1980 .

[32]  J. Capon High-resolution frequency-wavenumber spectrum analysis , 1969 .

[33]  Kim B. Olsen,et al.  Site Amplification in the Los Angeles Basin from Three-Dimensional Modeling of Ground Motion , 2000 .

[34]  Daniel Lavallée,et al.  Hysteretic and Dilatant Behavior of Cohesionless Soils and Their Effects on Nonlinear Site Response: Field Data Observations and Modeling , 2005 .

[35]  Moshe Reshef,et al.  A nonreflecting boundary condition for discrete acoustic and elastic wave equations , 1985 .