Ground‐Motion Prediction Equations for Central and Eastern North America Using the Hybrid Empirical Method and NGA‐West2 Empirical Ground‐Motion Models

The hybrid empirical method (HEM) of simulating ground-motion intensity measures (GMIMs) in a target region uses stochastically simulated GMIMs in the host and target regions to develop adjustment factors that are applied to empirical GMIM predictions in the host region. In this study, the HEM approach was used to develop two new ground-motion prediction equations (GMPEs) for a target region defined as central and eastern North America (CENA), excluding the Gulf Coast region. The method uses five new empirical GMPEs developed by the Pacific Earthquake Engineering Research Center for the Next Generation Attenuation-West2 (NGA-West2) project to estimate GMIMs in the host region. The two new CENAGMPEs are derived for peak ground acceleration and response spectral ordinates at periods ranging from 0.01 to 10 s, moment magnitudes (M) ranging from 4.0 to 8.0, and rupture distance (Rrup) as far as 1000 km from the site, although the GMPEs are best constrained for Rrup < 300–400 km. The predicted GMIMs are for a reference site defined as CENA hard rock with VS30 3000 m=s and κ0 0:006 s. The seismological parameters for the western North America host region were adopted from a point-source inversion of the median GMIM predictions from the NGA-West2 GMPEs for events and sites with M ≤ 6:0, Rrup ≤ 200 km, VS30 760 m=s, a generic (average of strike slip and reverse) style of faulting, and earthquake-depth and sediment-depth parameters equal to the default values recommended by the NGA-West2 developers. The two CENAGMPEs are based on two fundamentally different approaches to magnitude scaling at large magnitudes: (1) using the HEM approach to model magnitude scaling over the entire magnitude range and (2) using the HEM approach to model magnitude scaling for events with M ≤ 6:0 and using the magnitude scaling predicted by the NGA-West2 GMPEs for the larger events.

[1]  D. Perkins,et al.  National Seismic-Hazard Maps: Documentation June 1996 , 1996 .

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

[3]  V. Graizer Ground‐Motion Prediction Equations for Central and Eastern North America , 2016 .

[4]  Norman A. Abrahamson,et al.  Summary of the ASK14 Ground Motion Relation for Active Crustal Regions , 2014 .

[5]  D. Boore The Uses and Limitations of the Square‐Root‐Impedance Method for Computing Site Amplification , 2013 .

[6]  Jonathan P. Stewart,et al.  Reference Rock Site Condition for Central and Eastern North America , 2014 .

[7]  Charles S. Mueller,et al.  Documentation for the 2008 update of the United States National Seismic Hazard Maps , 2008 .

[8]  Gail M. Atkinson,et al.  Generic finite-fault model for ground-motion prediction in eastern North America , 1999, Bulletin of the Seismological Society of America.

[9]  Robin K. McGuire,et al.  The character of high-frequency strong ground motion , 1981 .

[10]  J. Boatwright,et al.  Regional Spectral Analysis of Three Moderate Earthquakes in Northeastern North America , 2011 .

[11]  G. Atkinson,et al.  Source Parameters of Earthquakes in Eastern and Western North America Based on Finite-Fault Modeling , 2002 .

[12]  I. M. Idriss An NGA-West2 Empirical Model for Estimating the Horizontal Spectral Values Generated by Shallow Crustal Earthquakes , 2014 .

[13]  R. Herrmann,et al.  A regional ground motion excitation/attenuation model for the San Francisco region , 2007 .

[14]  G. Atkinson,et al.  Equivalent Point‐Source Modeling of Moderate‐to‐Large Magnitude Earthquakes and Associated Ground‐Motion Saturation Effects , 2014 .

[15]  Julian J. Bommer,et al.  The Variability of Ground-Motion Prediction Models and Its Components , 2010 .

[16]  Kenneth W. Campbell,et al.  Estimates of Shear-Wave Q and κ0 for Unconsolidated and Semiconsolidated Sediments in Eastern North America , 2009 .

[17]  D. Boore Comparing Stochastic Point-Source and Finite-Source Ground-Motion Simulations: SMSIM and EXSIM , 2009 .

[18]  Luca Malagnini,et al.  Attenuation and excitation of three-component ground motion in southern California , 1999 .

[19]  Timothy D. Ancheta,et al.  NGA-West2 Research Project , 2014 .

[20]  K. Campbell,et al.  Ground Motion Prediction Equations for Eastern North America Using the Hybrid Empirical Method and NGA-West 2 Empirical Ground Motion Models , 2015 .

[21]  Bahereh The conversion , 1983, Craft Brew.

[22]  Shahram Pezeshk,et al.  Empirical-Stochastic Ground-Motion Prediction for Eastern North America , 2005 .

[23]  Jonathan P. Stewart,et al.  NGA-West2 Equations for Predicting PGA, PGV, and 5% Damped PSA for Shallow Crustal Earthquakes , 2014 .

[24]  K. Campbell,et al.  Estimation of κ0 Implied by the High‐Frequency Shape of the NGA‐West2 Ground‐Motion Prediction Equations , 2016 .

[25]  Frank Scherbaum,et al.  The Estimation of Minimum-Misfit Stochastic Models from Empirical Ground-Motion Prediction Equations , 2006 .

[26]  Gail M. Atkinson,et al.  Regionally Adjustable Generic Ground‐Motion Prediction Equation Based on Equivalent Point‐Source Simulations: Application to Central and Eastern North America , 2015 .

[27]  Gail M. Atkinson,et al.  Modifications to Existing Ground-Motion Prediction Equations in Light of New Data , 2011 .

[28]  K. Campbell,et al.  Adjusting Central and Eastern North America Ground‐Motion Intensity Measures between Sites with Different Reference‐Rock Site Conditions , 2017 .

[29]  Walter J. Silva,et al.  DEVELOPMENT OF REGIONAL HARD ROCK ATTENUATION RELATIONS FOR CENTRAL AND EASTERN NORTH AMERICA, MID-CONTINENT AND GULF COAST AREAS , 2002 .

[30]  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 .

[31]  K. W. Campbell,et al.  Ground Motion Simulation Using the Hybrid Empirical Method: Issues and Insights , 2011 .

[32]  David M. Boore,et al.  Path Durations for Use in the Stochastic‐Method Simulation of Ground Motions , 2014 .

[33]  G. Atkinson,et al.  “Did You Feel It?” Intensity Data: A Surprisingly Good Measure of Earthquake Ground Motion , 2007 .

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

[35]  K. Campbell,et al.  NGA-West2 Ground Motion Model for the Average Horizontal Components of PGA, PGV, and 5% Damped Linear Acceleration Response Spectra , 2014 .

[36]  K. Campbell PREDICTION OF STRONG GROUND MOTION USING THE HYBRID EMPIRICAL METHOD AND ITS USE IN THE DEVELOPMENT OF GROUND-MOTION (ATTENUATION) RELATIONS IN EASTERN NORTH AMERICA , 2003 .

[37]  Gail M. Atkinson,et al.  Evaluation of models for earthquake source spectra in eastern North America , 1998, Bulletin of the Seismological Society of America.

[38]  Jonathan P. Stewart,et al.  Validation of the SCEC Broadband Platform V14.3 Simulation Methods Using Pseudospectral Acceleration Data , 2015 .

[39]  Yi-Hau Chen,et al.  A New Method for Estimation of the Attenuation Relationship with Variance Components , 2002 .

[40]  Gail M. Atkinson,et al.  The Attenuation of Fourier Amplitudes for Rock Sites in Eastern North America , 2014 .

[41]  Kenneth W. Campbell,et al.  An Evaluation of Eastern North American Ground-Motion Models Developed Using the Hybrid Empirical Method , 2014 .

[42]  David M. Boore,et al.  Site amplifications for generic rock sites , 1997, Bulletin of the Seismological Society of America.

[43]  M. Chapman,et al.  Modeling Geometrical Spreading and the Relative Amplitudes of Vertical and Horizontal High‐Frequency Ground Motions in Eastern North America , 2012 .

[44]  Gail M. Atkinson,et al.  An Equivalent Point‐Source Model for Stochastic Simulation of Earthquake Ground Motions in California , 2015 .

[45]  Norman A. Abrahamson,et al.  Taxonomy of κ: A Review of Definitions and Estimation Approaches Targeted to Applications , 2014 .

[46]  G. Atkinson,et al.  Modeling finite-fault radiation from the ωn spectrum , 1997, Bulletin of the Seismological Society of America.

[47]  W. Silva,et al.  An empirical study of earthquake source spectra for California earthquakes , 1997, Bulletin of the Seismological Society of America.

[48]  N. Abrahamson,et al.  Composite Ground-Motion Models and Logic Trees: Methodology, Sensitivities, and Uncertainties , 2005 .

[49]  Susan E. Hough,et al.  Shaking from Injection‐Induced Earthquakes in the Central and Eastern United States , 2014 .

[50]  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 .

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

[52]  Robert R. Youngs,et al.  Update of the Chiou and Youngs NGA Model for the Average Horizontal Component of Peak Ground Motion and Response Spectra , 2014 .

[53]  D. Boore Orientation-independent, nongeometric-mean measures of seismic intensity from two horizontal components of motion , 2010 .

[54]  Shahram Pezeshk,et al.  Hybrid Empirical Ground-Motion Prediction Equations for Eastern North America Using NGA Models and Updated Seismological Parameters , 2011 .

[55]  J. Brune Tectonic stress and the spectra of seismic shear waves from earthquakes , 1970 .

[56]  Robert B. Herrmann,et al.  The effect of crustal structure on strong ground motion attenuation relations in eastern North America , 1987 .

[57]  David M. Boore,et al.  Revisions to Some Parameters Used in Stochastic‐Method Simulations of Ground Motion , 2015 .

[58]  Gail M. Atkinson,et al.  Stochastic Finite-Fault Modeling Based on a Dynamic Corner Frequency , 2005 .

[59]  G. Atkinson,et al.  FINSIM--a FORTRAN Program for Simulating Stochastic Acceleration Time Histories from Finite Faults , 1998 .

[60]  Robert B. Herrmann,et al.  High-Frequency Ground-Motion Scaling in the Pacific Northwest and in Northern and Central California , 2008 .

[61]  Linda Al Atik,et al.  Epistemic Uncertainty for NGA-West2 Models: , 2014 .

[62]  Gail M. Atkinson,et al.  Determination of Stress Parameters for Eight Well-Recorded Earthquakes in Eastern North America , 2010 .

[63]  J. Douglas Earthquake ground motion estimation using strong-motion records: a review of equations for the estimation of peak ground acceleration and response spectral ordinates , 2003 .

[64]  John Douglas,et al.  GROUND-MOTION PREDICTION EQUATIONS FOR SOUTHERN SPAIN AND SOUTHERN NORWAY OBTAINED USING THE COMPOSITE MODEL PERSPECTIVE , 2006 .

[65]  Benjamin Edwards,et al.  Ground motion prediction equations , 2014 .

[66]  Gail M. Atkinson,et al.  A guide to differences between stochastic point-source and stochastic finite-fault simulations , 2009 .

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

[68]  Linda Al Atik,et al.  Kappa ( ) Scaling of Ground-Motion Prediction Equations Using an Inverse Random Vibration Theory Approach , 2014 .

[69]  Robert W. Graves,et al.  Source and ground motion models of Australian earthquakes , 2009 .

[70]  Jonathan P. Stewart,et al.  Comparison of NGA-West2 GMPEs , 2014 .

[71]  Gail M. Atkinson,et al.  Empirical Attenuation of Ground-Motion Spectral Amplitudes in Southeastern Canada and the Northeastern United States , 2004 .

[72]  Linda Al Atik,et al.  A Model for Single‐Station Standard Deviation Using Data from Various Tectonic Regions , 2013 .

[73]  G. Atkinson,et al.  Regional Differences in Ground‐Motion Amplitudes of Small‐to‐Moderate Earthquakes across North America , 2013 .

[74]  G. R. Toro,et al.  Model of Strong Ground Motions from Earthquakes in Central and Eastern North America: Best Estimates and Uncertainties , 1997 .

[75]  Robin K. McGuire,et al.  RMS accelerations and spectral amplitudes of strong ground motion during the San Fernando, California earthquake , 1980 .

[76]  Annemarie S. Baltay,et al.  Understanding the Magnitude Dependence of PGA and PGV in NGA‐West 2 Data , 2014 .

[77]  K. Assatourians,et al.  Attenuation and Source Characteristics of the 23 June 2010 M 5.0 Val-des-Bois, Quebec, Earthquake , 2010 .

[78]  F. Scherbaum,et al.  On the Conversion of Source-to-Site Distance Measures for Extended Earthquake Source Models , 2004 .

[79]  G. Atkinson,et al.  Ground-motion relations for eastern North America , 1995, Bulletin of the Seismological Society of America.