The use of Rayleigh-wave ellipticity for site-specific hazard assessment and microzonation: application to the city of Lucerne, Switzerland

SUMMARY The sediments underlying the city of Lucerne (Switzerland) consisting of fluvio-lacustrine deposits of Quaternary age have the potential to produce strong amplification of the seismic wavefield. To obtain a reliable estimation of the deep soil structure, we combine different methodologies based on ambient noise recordings, such as single station horizontal to vertical ratios and three-component array analysis. Two novel techniques to estimate Rayleigh-wave ellipticity from ambient noise recordings are tested. These are based on a single- and a multistation approach, respectively. The first utilizes the continuous wavelet transform to perform a decomposition of the noise wavefield and to isolate and extract the Rayleigh-wave contribution. The second, conversely, relies on a high-resolution f–k method to achieve the same result. We compare the results from the two techniques to provide an evaluation of their capabilities and limitations. A two-step inversion scheme is then presented to improve resolution on the bedrock depth. In particular, the surface wave dispersion information is initially used to constrain the soft sediment part, while the Rayleigh-wave ellipticity peak is subsequently used for constraining the bedrock depth. It is shown that such an approach is beneficial to map the bedrock geometry over dense urban areas. The output velocity model is then used to compute the local seismic amplification by means of gridded 1-D approximation.

[1]  F. Scherbaum,et al.  ON THE RESOLUTION OF H/V MEASUREMENTS TO DETERMINE SEDIMENT THICKNESS, A CASE STUDY ACROSS A NORMAL FAULT IN THE LOWER RHINE EMBAYMENT, GERMANY , 2004 .

[2]  Cécile Cornou,et al.  Effects of Love Waves on Microtremor H/V Ratio , 2008 .

[3]  Masayuki Takemura,et al.  Characteristics of long-period microtremors and their applicability in exploration of deep sedimentary layers , 1994, Bulletin of the Seismological Society of America.

[4]  L. Knopoff A matrix method for elastic wave problems , 1964 .

[5]  Donat Fäh,et al.  Analysis of three-component ambient vibration array measurements , 2008 .

[6]  W. Stephenson,et al.  SHEAR-WAVE VELOCITY PROFILE FOR HOLOCENE SEDIMENTS MEASURED FROM MICROTREMOR ARRAY STUDIES, SCPT, AND SEISMIC REFRACTION , 2005 .

[7]  D. Giardini,et al.  Magnitudes and source areas of large prehistoric northern Alpine earthquakes revealed by slope failures in lakes , 2006 .

[8]  D. Fäh,et al.  Derivation of a Reference Shear-Wave Velocity Model from Empirical Site Amplification , 2011 .

[9]  N. Theodulidis,et al.  Empirical evaluation of microtremor H/V spectral ratio , 2008 .

[10]  Frank Scherbaum,et al.  Love’s formula and H/V-ratio (ellipticity) of Rayleigh waves , 2004 .

[11]  R. T. Lacoss,et al.  ESTIMATION OF SEISMIC NOISE STRUCTURE USING ARRAYS , 1969 .

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

[13]  Kohji Tokimatsu,et al.  S-Wave Velocity Profiling by Joint Inversion of Microtremor Dispersion Curve and Horizontal-to-Vertical (H/V) Spectrum , 2005 .

[14]  Three‐dimensional VS profiling using microtremors in Kushiro, Japan , 2008 .

[15]  Pierre-Yves Bard,et al.  Site effects and microzonation in the city of Thessaloniki (Greece) comparison of different approaches , 1996, Bulletin of the Seismological Society of America.

[16]  Donat Fäh,et al.  A theoretical investigation of average H/V ratios , 2001 .

[17]  Matthias Ohrnberger,et al.  Array performances for ambient vibrations on a shallow structure and consequences over Vs inversion , 2008 .

[18]  F. Cotton,et al.  The nature of noise wavefield and its applications for site effects studies A literature review , 2006 .

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

[20]  Frank Scherbaum,et al.  Determination of shallow shear wave velocity profiles in the Cologne, Germany area using ambient vibrations , 2003 .

[21]  Donat Fäh,et al.  Estimating Rayleigh wave particle motion from three-component array analysis of ambient vibrations , 2010 .

[22]  Donat Fäh,et al.  H/V ratio: a tool for site effects evaluation. Results from 1-D noise simulations , 2006 .

[23]  Y Nakamura,et al.  A METHOD FOR DYNAMIC CHARACTERISTICS ESTIMATION OF SUBSURFACE USING MICROTREMOR ON THE GROUND SURFACE , 1989 .

[24]  Ricardo Dobry,et al.  Simplified procedures for estimating the fundamental period of a soil profile , 1976 .

[25]  Michael W. Asten,et al.  Array estimators and the use of microseisms for reconnaissance of sedimentary basins , 1984 .

[26]  F. Chávez-García,et al.  Topographic site effects and HVSR. A comparison between observations and theory , 1996, Bulletin of the Seismological Society of America.

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

[28]  A. Grossmann,et al.  Cycle-octave and related transforms in seismic signal analysis , 1984 .

[29]  D. Fäh,et al.  Inversion of local S-wave velocity structures from average H/V ratios, and their use for the estimation of site-effects , 2003 .

[30]  D. Giardini,et al.  The earthquake in Unterwalden on September 18, 1601: A historico-critical macroseismic evaluation , 2003 .

[31]  M. Hobiger Polarization of surface waves : characterization, inversion and application to seismic hazard assessment , 2011 .

[32]  Peter Bormann,et al.  New Relationships between Vs, Thickness of Sediments, and Resonance Frequency Calculated by the H/V Ratio of Seismic Noise for the Cologne Area (Germany) , 2002 .

[33]  Masanori Horike,et al.  INVERSION OF PHASE VELOCITY OF LONG-PERIOD MICROTREMORS TO THE S-WAVE-VELOCITY STRUCTURE DOWN TO THE BASEMENT IN URBANIZED AREAS , 1985 .

[34]  Dario Albarello,et al.  Alternative interpretations of horizontal to vertical spectral ratios of ambient vibrations: new insights from theoretical modeling , 2010 .

[35]  Francisco J. Chávez-García,et al.  Are microtremors useful in site response evaluation , 1994 .

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

[37]  B. Endrun Love wave contribution to the ambient vibration H/V amplitude peak observed with array measurements , 2011 .

[38]  D. Fäh,et al.  Historical seismicity in Central Switzerland , 2004 .

[39]  N. Theodulidis,et al.  Horizontal-to-vertical spectral ratio and geological conditions: The case of Garner Valley Downhole Array in southern California , 1996, Bulletin of the Seismological Society of America.

[40]  Jeffrey C. Lagarias,et al.  Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..