On estimating site damping with soil non-linearity from earthquake recordings

Abstract This study proposes an approach for estimating the damping factor of non-linear soil and its role in seismic wave responses at soil sites from earthquake recordings. In particular, the paper first reviews the Fourier-based approach to characterizing the dynamic features of soil sites in seismic ground motion and shows the deficiencies for assessing non-linear site amplification and damping. It then offers an alternative approach, i.e., the Hilbert–Huang transform (HHT) for non-linear and non-stationary data process, in addressing the non-linearity issues. This study focuses on discerning the signature of non-linear site damping from the general non-linear features in the motion that are typically shown in the frequency-dependent site amplification. As a result, the study proposes an HHT-based approach to estimate site damping with non-linear soil from earthquake recordings and to measure the influences in the motion at soil sites. With the use of recordings from the mainshock and aftershock of the 2001 Nisqually earthquakes, this study shows that the proposed approach is able to assess appropriately the site damping that can be used to estimate the influences of soil damping in non-linear site responses.

[1]  Jianwen Liang,et al.  An Alternative Approach to Characterize Nonlinear Site Effects , 2005 .

[2]  Mustafa Erdik,et al.  Site Response Analysis , 1987 .

[3]  D. B. Preston.  Spectral Analysis and Time Series , 1983 .

[4]  You-Lin Xu,et al.  Modal identification of Di Wang Building under Typhoon York using the Hilbert–Huang transform method , 2003 .

[5]  G. Tomlinson,et al.  Nonlinearity in Structural Dynamics: Detection, Identification and Modelling , 2000 .

[6]  Shuo Ma,et al.  Signatures of the Seismic Source in EMD-Based Characterization of the 1994 Northridge, California, Earthquake Recordings , 2003 .

[7]  S. Kramer.  Geotechnical Earthquake Engineering , 1996 .

[8]  Daniel Lavallée,et al.  Nonlinear site response; laboratory modeling as a constraint for modeling accelerograms , 1998 .

[9]  Shuo Ma,et al.  Hilbert-Huang transform analysis of dynamic and earthquake motion recordings , 2003 .

[10]  Erdal Safak,et al.  Models and Methods to Characterize Site Amplification from a Pair of Records , 1997 .

[11]  David Carver,et al.  Nonlinear and Linear Site Response and Basin Effects in Seattle for the M 6.8 Nisqually, Washington, Earthquake , 2002 .

[12]  N. Huang,et al.  System identification of linear structures based on Hilbert–Huang spectral analysis. Part 1: normal modes , 2003 .

[13]  N. Huang,et al.  A new view of nonlinear water waves: the Hilbert spectrum , 1999 .

[14]  R. Dobry,et al.  Effect of Soil Plasticity on Cyclic Response , 1991 .

[15]  Chin-Hsiung Loh,et al.  Application of the Empirical Mode Decomposition-Hilbert Spectrum Method to Identify Near-Fault Ground-Motion Characteristics and Structural Responses , 2004 .

[16]  E. Field,et al.  Nonlinear ground-motion amplification by sediments during the 1994 Northridge earthquake , 1997, Nature.

[17]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[18]  Vincent P. Drnevich,et al.  Shear modulus and damping in soils , 1972 .

[19]  R. L. Wesson,et al.  USGS National Seismic Hazard Maps , 2000 .

[20]  S. S. Shen,et al.  A confidence limit for the empirical mode decomposition and Hilbert spectral analysis , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[21]  L. W. Salvino,et al.  Empirical mode analysis of structural response and damping , 2000 .

[22]  Mustafa Erdik,et al.  Strong ground motion seismology , 1987 .

[23]  V. Drnevich,et al.  Shear Modulus and Damping in Soils: Measurement and Parameter Effects (Terzaghi Leture) , 1972 .

[24]  Arthur Frankel,et al.  Simulation of Broadband Ground Motion Including Nonlinear Soil Effects for a Magnitude 6.5 Earthquake on the Seattle Fault, Seattle, Washington , 2001 .

[25]  R. Borcherdt.  Effects of local geology on ground motion near San Francisco Bay , 1970 .

[26]  E. Field,et al.  Magnitude of nonlinear sediment response in Los Angeles basin during the 1994 Northridge, California, earthquake , 1998, Bulletin of the Seismological Society of America.

[27]  R. Clough,et al.  Dynamics Of Structures , 1975 .