Ground Motion Model for the Vertical-to-Horizontal (V/H) Ratios of PGA, PGV, and Response Spectra

We present a ground motion model (GMM) for the vertical-to-horizontal (V/H) ratios of peak ground acceleration, peak ground velocity, and 5%-damped pseudo-acceleration response spectra at periods ranging from 0.01 s to 10 s. The V/H GMM includes formulations for the median V/H ratio and for the aleatory within-event, between-event, and total standard deviations. The V/H model is based on the GMMs we have developed for the vertical and “average” horizontal components of ground motion using a mathematical formation that accounts for the correlation between these two components. We validated the V/H model against the NGA-West2 empirical database. We consider our V/H model to be valid for worldwide shallow crustal earthquakes in active tectonic regions for moment magnitudes ranging from 3.3 to 8.5, depending on the style of faulting, and for fault rupture distances ranging from 0 km to 300 km. Our V/H model incorporates period-dependent effects of magnitude saturation, style of faulting, hypocentral depth, fault-rupture dip, geometric attenuation, regionally dependent anelastic attenuation and site response, hanging-wall geometry, and magnitude-dependent between-event and within-event aleatory variabilities. The V/H ratios predicted from the model show a strong dependence on spectral period and site response.

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

[2]  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 .

[3]  Polat Gülkan,et al.  Empirical Attenuation Equations for Vertical Ground Motion in Turkey , 2004 .

[4]  N. A. Abrahamson,et al.  Attenuation of vertical peak acceleration , 1989 .

[5]  W. Silva,et al.  NGA-West2 Database , 2014 .

[6]  Mansour Niazi,et al.  Behaviour of near‐source vertical and horizontal response spectra at smart‐1 array, Taiwan , 1992 .

[7]  BEHAVIOR OF HORIZONTAL AND VERTICAL SV AT JMA SITES, JAPAN , 1998 .

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

[9]  Norman A. Abrahamson,et al.  Simulation-Based Hanging Wall Effects , 2014 .

[10]  Jian Zhang,et al.  An Empirical Site-Classification Method for Strong-Motion Stations in Japan Using h/v Response Spectral Ratio , 2006 .

[11]  Mansour Niazi,et al.  Characteristics of Free-Field Vertical Ground Motion during the Northridge Earthquake , 1995 .

[12]  Y. Bozorgnia,et al.  Behavior of near-source peak horizontal and vertical ground motions over SMART-1 Array, Taiwan , 1991, Bulletin of the Seismological Society of America.

[13]  Timothy D. Ancheta,et al.  NGA-West2 Site Database , 2014 .

[14]  Bruce A. Bolt,et al.  Spectral Comparison of Vertical and Horizontal Seismic Strong Ground Motions in Alluvial Basins , 1998 .

[15]  W. Silva,et al.  CHARACTERISTICS OF VERTICAL STRONG GROUND MOTIONS FOR APPLICATIONS TO ENGINEERING DESIGN , 1997 .

[16]  Norman A. Abrahamson,et al.  Site-Specific Design Spectra for Vertical Ground Motion , 2011 .

[17]  Benjamin Edwards,et al.  Characterizing the Vertical-to-Horizontal Ratio of Ground Motion at Soft-Sediment Sites , 2012 .

[18]  N. Abrahamson,et al.  Nonlinear Site Amplification Factors for Constraining the NGA Models , 2008 .

[19]  Yutaka Nakamura,et al.  CLEAR IDENTIFICATION OF FUNDAMENTAL IDEA OF NAKAMURA ' S TECHNIQUE AND ITS APPLICATIONS , 1999 .

[20]  Amr S. Elnashai,et al.  PROCEDURE AND SPECTRA FOR ANALYSIS OF RC STRUCTURES SUBJECTED TO STRONG VERTICAL EARTHQUAKE LOADS , 1997 .

[21]  F. Cotton,et al.  NEW EMPIRICAL RESPONSE SPECTRAL ATTENUATION LAWS FOR MODERATE EUROPEAN EARTHQUAKES , 2003 .

[22]  Kenneth W. Campbell,et al.  Empirical Near-Source Attenuation Relationships for Horizontal and Vertical Components of Peak Ground Acceleration, Peak Ground Velocity, and Pseudo-Absolute Acceleration Response Spectra , 1997 .

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

[24]  Lawrence L. Kupper,et al.  Probability, statistics, and decision for civil engineers , 1970 .

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

[26]  Maria Rosaria Gallipoli,et al.  A critical review of 10 years of microtremor HVSR technique , 2001 .

[27]  Stephen A. Mahin,et al.  Vertical Response of Twelve Structures Recorded during the Northridge Earthquake , 1998 .

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

[29]  Kenneth Campbell,et al.  Engineering Models of Strong Ground Motion , 2002 .

[30]  C. V. Anderson,et al.  The Federal Emergency Management Agency (FEMA) , 2002 .

[31]  Benjamin Edwards,et al.  A Predictive Equation for the Vertical-to-Horizontal Ratio of Ground Motion at Rock Sites Based on Shear-Wave Velocity Profiles from Japan and Switzerland , 2011 .

[32]  T. Lay,et al.  Modern Global Seismology , 1995 .

[33]  Luis Fabian Bonilla,et al.  Effects of Surface Geology on Seismic Motion , 2011 .

[34]  G. Atkinson,et al.  Site condition evaluation using horizontal-to-vertical response spectral ratios of earthquakes in the NGA-West 2 and Japanese databases , 2014 .

[35]  Walter J. Silva,et al.  Properties of Vertical Ground Motions , 2002 .

[36]  Gail M. Atkinson,et al.  Integrated Use of Seismograph and Strong-Motion Data to Determine Soil Amplification: Response of the Fraser River Delta to the Duvall and Georgia Strait Earthquakes , 2000 .

[37]  Julian J. Bommer,et al.  A Model for Vertical-to-Horizontal Response Spectral Ratios for Europe and the Middle East , 2011 .

[38]  K. Campbell,et al.  Updated Near-Source Ground-Motion (Attenuation) Relations for the Horizontal and Vertical Components of Peak Ground Acceleration and Acceleration Response Spectra , 2003 .

[39]  Kim B. Olsen,et al.  Model for Basin Effects on Long-Period Response Spectra in Southern California , 2008 .

[40]  J. Douglas,et al.  Equations for the Estimation of Strong Ground Motions from Shallow Crustal Earthquakes Using Data from Europe and the Middle East: Vertical Peak Ground Acceleration and Spectral Acceleration , 2005 .

[41]  N. N. Ambraseys,et al.  PREDICTION OF VERTICAL RESPONSE SPECTRA IN EUROPE , 1996 .

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

[43]  V. W. Lee,et al.  Empirical models for scaling pseudo relative velocity spectra of strong earthquake accelerations in terms of magnitude, distance, site intensity and recording site conditions , 1989 .

[44]  Yousef Bozorgnia,et al.  DISTANCE SCALING OF VERTICAL AND HORIZONTAL RESPONSE SPECTRA OF THE LOMA PRIETA EARTHQUAKE , 1993 .

[45]  John Douglas,et al.  Site Classification Using Horizontal-to-vertical Response Spectral Ratios and its Impact when Deriving Empirical Ground-motion Prediction Equations , 2007 .

[46]  Kenneth W. Campbell,et al.  Vertical Ground Motion Model for PGA, PGV, and Linear Response Spectra Using the NGA-West2 Database , 2016 .

[47]  K. Campbell,et al.  THE VERTICAL-TO-HORIZONTAL RESPONSE SPECTRAL RATIO AND TENTATIVE PROCEDURES FOR DEVELOPING SIMPLIFIED V/H AND VERTICAL DESIGN SPECTRA , 2004 .

[48]  Lucia Luzi,et al.  Horizontal and vertical ground motion prediction equations derived from the Italian Accelerometric Archive (ITACA) , 2010 .

[49]  M. A. Sandıkkaya,et al.  Erratum to: Compatible ground-motion prediction equations for damping scaling factors and vertical-to-horizontal spectral amplitude ratios for the broader Europe region , 2014, Bulletin of Earthquake Engineering.

[50]  N. Abrahamson,et al.  Orientation-Independent Measures of Ground Motion , 2006 .

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

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