Calibration of the Specific Barrier Model to the NGA Dataset

The seismic design of structures sometimes necessitates the use of synthetic strong ground motion time histories (European Committee for Standardization 2003; International Code Council 2000). Toward this end, the stochastic method with a point-source representation of the seismic source is a fast and efficient way to generate synthetic time histories ( e.g. , Boore 2003). While other modeling procedures may be more refined and physically realistic ( e.g. , full finite-fault simulations), they generally require a larger number of input parameters for which calibration relations do not exist (see Douglas and Aochi 2008, and references therein). Even for well-recorded earthquakes, these parameters are difficult to develop calibration relations for because of (1) the observed variability in the results from earthquake source process inversion and its dependence on available data ( e.g. , Custodio et al. 2005) and (2) the overall lack of confidence in even the best estimates of the parameters controlling fault rupture (Monelli and Mai 2008; e.g. , Monelli et al. 2009). The simple seismological models also have advantages over empirical ground motion predictive equations (GMPE) (Abrahamson and Shedlock 1997; Power et al. 2008), although the forms of the source, path, and site functions in the simple seismological models may be somewhat less flexible than empirical GMPEs when trying to fit existing data. Seismological models can provide information on the physical nature of the parameters controlling the strong motion while the GMPEs cannot ( e.g. , Boore 2003; Olafsson et al. 2001; R. Sigbjornsson and Ambraseys 2003). Moreover, despite the increase in strong motion recordings over the last couple of decades, and presumably the corresponding increase in knowledge, there are still considerable differences among the median ground motions estimated using the various GMPEs. These differences are a measure of epistemic uncertainty and have not been …

[1]  G. Atkinson,et al.  Ground-Motion Prediction Equations for the Average Horizontal Component of PGA, PGV, and 5%-Damped PSA at Spectral Periods between 0.01 s and 10.0 s , 2008 .

[2]  N. Abrahamson,et al.  Empirical Response Spectral Attenuation Relations for Shallow Crustal Earthquakes , 1997 .

[3]  Tomowo Hirasawa,et al.  Body wave spectra from propagating shear cracks. , 1973 .

[4]  Ragnar Sigbjörnsson,et al.  Uncertainty Analysis of Strong-Motion and Seismic Hazard , 2003 .

[5]  Ragnar Sigbjörnsson,et al.  Stochastic models for simulation of strong ground motion in Iceland , 2001 .

[6]  Benedikt Halldorsson,et al.  Near-Fault and Far-Field Strong Ground-Motion Simulation for Earthquake Engineering Applications Using the Specific Barrier Model , 2011 .

[7]  David M. Boore,et al.  On Simulating Large Earthquakes by Green's–Function Addition of Smaller Earthquakes , 2013 .

[8]  Susana Custódio,et al.  The 2004 Mw6.0 Parkfield, California, earthquake: Inversion of near‐source ground motion using multiple data sets , 2005 .

[9]  David M. Boore,et al.  SEA99: A Revised Ground-Motion Prediction Relation for Use in Extensional Tectonic Regimes , 2005 .

[10]  John G. Anderson,et al.  A MODEL FOR THE SHAPE OF THE FOURIER AMPLITUDE SPECTRUM OF ACCELERATION AT HIGH FREQUENCIES , 1984 .

[11]  Paul G. Richards,et al.  Quantitative Seismology: Theory and Methods , 1980 .

[12]  Chu-Chuan Peter Tsai,et al.  A Model for the High-Cut Process of Strong-Motion Accelerations in Terms of Distance, Magnitude, and Site Condition: An Example from the SMART 1 Array, Lotung, Taiwan , 2000 .

[13]  A. Papageorgiou,et al.  Variations of the specific barrier model—part II: effect of isochron distributions , 2012, Bulletin of Earthquake Engineering.

[14]  A. Papageorgiou The Barrier Model and Strong Ground Motion , 2003 .

[15]  George P. Mavroeidis,et al.  A Mathematical Representation of Near-Fault Ground Motions , 2003 .

[16]  John Douglas,et al.  Consistency of ground-motion predictions from the past four decades , 2010 .

[17]  K. Aki Scaling law of seismic spectrum , 1967 .

[18]  Julian J. Bommer,et al.  Sigma: Issues, Insights, and Challenges , 2009 .

[19]  J. Douglas,et al.  A Survey of Techniques for Predicting Earthquake Ground Motions for Engineering Purposes , 2008 .

[20]  Benedikt Halldorsson,et al.  A Fast and Efficient Simulation of the Far-Fault and Near-Fault Earthquake Ground Motions Associated with the June 17 and 21, 2000, Earthquakes in South Iceland , 2007 .

[21]  Apostolos S. Papageorgiou,et al.  On two characteristic frequencies of acceleration spectra: Patch corner frequency and fmax , 1988 .

[22]  BrianS-J. Chiou,et al.  An NGA Model for the Average Horizontal Component of Peak Ground Motion and Response Spectra , 2008 .

[23]  P. M. Mai,et al.  Bayesian imaging of the 2000 Western Tottori (Japan) earthquake through fitting of strong motion and GPS data , 2009 .

[24]  K. Campbell,et al.  NGA Ground Motion Model for the Geometric Mean Horizontal Component of PGA, PGV, PGD and 5% Damped Linear Elastic Response Spectra for Periods Ranging from 0.01 to 10 s , 2008 .

[25]  Attenuation Characteristics of Taiwan: Estimation of Coda Q, S-wave Q, Scattering Q, Intrinsic Q, and Scattering Coefficient , 2010 .

[26]  Benedikt Halldorsson,et al.  On the use of aftershocks when deriving ground-motion prediction equations , 2010 .

[27]  W. Silva,et al.  Stochastic Modeling of California Ground Motions , 2000 .

[28]  Nick Gregor,et al.  NGA Project Strong-Motion Database , 2008 .

[29]  David R. Brillinger,et al.  Further analysis of the Joyner-Boore attenuation data , 1985 .

[30]  Maurice S. Power,et al.  An Overview of the NGA Project , 2008 .

[31]  David M. Boore,et al.  Simulation of Ground Motion Using the Stochastic Method , 2003 .

[32]  Mihailo D. Trifunac,et al.  Q and high-frequency strong motion spectra , 1994 .

[33]  Benedikt Halldorsson,et al.  Calibration of the Specific Barrier Model to Earthquakes of Different Tectonic Regions , 2005 .

[34]  Keiiti Aki,et al.  Sealing law of far-field spectra based on observed parameters of the specific barrier model , 1985 .

[35]  N. Abrahamson,et al.  Summary of the Abrahamson & Silva NGA Ground-Motion Relations , 2008 .

[36]  Keiiti Aki,et al.  Asperities, barriers, characteristic earthquakes and strong motion prediction , 1984 .

[37]  A. Papageorgiou,et al.  A specific barrier model for the quantitative description of inhomogeneous faulting and the prediction of strong ground motion. I. Description of the model , 1983 .

[38]  N. A. Abrahamson,et al.  A stable algorithm for regression analyses using the random effects model , 1992, Bulletin of the Seismological Society of America.

[39]  Apostolos S. Papageorgiou,et al.  On a new class of kinematic models: symmetrical and asymmetrical circular and elliptical cracks , 2003 .

[40]  David R. Brillinger,et al.  An exploratory analysis of the Joyner-Boore attenuation data , 1984 .

[41]  Ralph J. Archuleta,et al.  A faulting model for the 1979 Imperial Valley earthquake , 1984 .

[42]  P. M. Mai,et al.  Bayesian inference of kinematic earthquake rupture parameters through fitting of strong motion data , 2008 .

[43]  A. Papageorgiou,et al.  Variations of the specific barrier model—part I: effect of subevent size distributions , 2012, Bulletin of Earthquake Engineering.

[44]  David M. Boore,et al.  SMSIM — Fortran Programs for Simulating Ground Motions from Earthquakes: Version 2.3 — A Revision of OFR 96–80–A , 2000 .

[45]  D. Boore Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra , 1983 .