Why Do Modern Probabilistic Seismic-Hazard Analyses Often Lead to Increased Hazard Estimates?

The basic elements of probabilistic seismic-hazard analysis (psha) were established almost four decades ago and psha has now become the most widely used approach for estimating seismic-design loads. Although the use of psha is widespread, considerable confusion remains regarding the details of how the calculations should be performed. This situation is largely a result of the way the discipline of psha evolved through a series of articles, reports, and software packages. This article demonstrates that the feature of psha about which there is perhaps the greatest degree of misunderstanding is the treatment of the aleatory variability in ground- motion prediction equations, which exerts a very pronounced influence on the calculated hazard. Probabilistic hazard studies performed in recent years have frequently resulted in appreciably higher design ground motions than had been obtained in previous assessments carried out in the 1970s and 1980s, often sparking controversial debate. Although several factors may contribute to the higher estimates of seismic hazard in modern studies, the main reason for these increases is that in the earlier studies the ground-motion variability was either completely neglected or treated in a way that artificially reduced its influence on the hazard estimates.

[1]  J. Bommer,et al.  Adapting earthquake actions in Eurocode 8 for performance‐based seismic design , 2006 .

[2]  C Kostas Makropoulos,et al.  HAZAN: a FORTRAN program to evaluate seismic-hazard parameters using Gumbel's theory of extreme value statistics , 1984 .

[3]  Giuliano F. Panza,et al.  SEISMIC GROUND MOTION MODELLING AND DAMAGE EARTHQUAKE SCENARIOS A BRIDGE BETWEEN SEISMOLOGISTS AND SEISMIC ENGINEERS , 2002 .

[4]  John A. Lepore Book reviewDynamic waves in civil engineering : D. A. Howells, I. P. Haigh and G. Taylor (Eds.). 575 pages, diagrams, 6 x 9 in. New York, John Wiley, 1971. Price $28.50 (approx. £10·95). , 1973 .

[5]  R. Mcguire Probabilistic seismic hazard analysis and design earthquakes: Closing the loop , 1995, Bulletin of the Seismological Society of America.

[6]  Marc Nicolas,et al.  A Probabilistic Approach to Seismic Hazard in Metropolitan France , 2004 .

[7]  Kenneth W. Campbell,et al.  Near-source attenuation of peak horizontal acceleration , 1981 .

[8]  W. Milne,et al.  Distribution of earthquake risk in Canada , 1969 .

[9]  Robin K. McGuire,et al.  FORTRAN computer program for seismic risk analysis , 1976 .

[10]  J. Klügel,et al.  Reply to the comment on J.U. Klügel's: “Problems in the application of the SSHAC probability method for assessing earthquake hazards at Swiss nuclear power plants,” Eng. Geol. Vol. 78, pp. 285–307, by Musson et al. , 2005 .

[11]  Roger D. Borcherdt,et al.  Preliminary Analysis of Strong-motion Recordings from the 28 September 2004 Parkfield, California Earthquake , 2005 .

[12]  Julian J. Bommer,et al.  Hazard-consistent earthquake scenarios , 2000 .

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

[14]  R. Mcguire Seismic Hazard and Risk Analysis , 2004 .

[15]  Ellis L. Krinitzsky,et al.  How to obtain earthquake ground motions for engineering design , 2002 .

[16]  James N. Brune,et al.  Probabilistic Seismic Hazard Analysis without the Ergodic Assumption , 1999 .

[17]  C. Cornell Engineering seismic risk analysis , 1968 .

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

[19]  J.-U. Klügel,et al.  Problems in the application of the SSHAC probability method for assessing earthquake hazards at Swiss nuclear power plants , 2005 .

[20]  N. Abrahamson,et al.  On the Use of Logic Trees for Ground-Motion Prediction Equations in Seismic-Hazard Analysis , 2005 .

[21]  Robert J. Budnitz,et al.  Recommendations for probabilistic seismic hazard analysis: Guidance on uncertainty and use of experts , 1997 .

[22]  Jens-Uwe Klügel,et al.  Error inflation in Probabilistic Seismic Hazard Analysis , 2007 .

[23]  Luis Esteva,et al.  Criteria for the Construction of Spectra for Seismic Design , 1967 .

[24]  Paul Slovic,et al.  Judgment under uncertainty: Corrective procedures , 1982 .

[25]  Bernice Bender,et al.  Incorporating acceleration variability into seismic hazard analysis , 1984 .

[26]  Martin C. Chapman,et al.  On the Use of Elastic Input Energy for Seismic Hazard Analysis , 1999 .

[27]  M. Trifunac,et al.  Uniform risk functionals for characterization of strong earthquake ground motion , 1978 .

[28]  Baoping Shi,et al.  Comment on “How Can Seismic Hazard around the New Madrid Seismic Zone Be Similar to That in California?” by Arthur Frankel , 2005 .

[29]  Julian J. Bommer,et al.  Evaluating hazard results for Switzerland and how not to do it: A discussion of “Problems in the application of the SSHAC probability method for assessing earthquake hazards at Swiss nuclear power plants” by J-U Klügel , 2005 .

[30]  Baoping Shi,et al.  Communicating with uncertainty: A critical issue with probabilistic seismic hazard analysis , 2003 .

[31]  N. Abrahamson,et al.  Magnitude-dependent variance of peak ground acceleration , 1995, Bulletin of the Seismological Society of America.

[32]  J. Bommer,et al.  Style-of-Faulting in Ground-Motion Prediction Equations , 2003 .

[33]  D. Boore,et al.  CAN SITE RESPONSE BE PREDICTED? , 2004 .

[34]  Julian J. Bommer,et al.  Empirical Prediction Equations for Peak Ground Velocity Derived from Strong-Motion Records from Europe and the Middle East , 2007 .

[35]  Giuliano F. Panza,et al.  Multi-scale seismicity model for seismic risk , 1997, Bulletin of the Seismological Society of America.

[36]  James N. Brune,et al.  New ground motion data and concepts in seismic hazard analysis , 2000 .

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

[38]  J. Bommer,et al.  PREDICTION OF HORIZONTAL RESPONSE SPECTRA IN EUROPE , 1996 .

[39]  Terje Aven,et al.  Foundations of risk analysis : a knowledge and decision-oriented perspective , 2003 .

[40]  C. A. Cornell,et al.  Seismic risk analysis based on a quadratic magnitude-frequency law , 1973 .

[41]  W. B. Joyner,et al.  Equations for Estimating Horizontal Response Spectra and Peak Acceleration from Western North American Earthquakes: A Summary of Recent Work , 1997 .

[42]  L. Reiter Earthquake Hazard Analysis: Issues and Insights , 1991 .

[43]  A. Arias A measure of earthquake intensity , 1970 .

[44]  J.-U. Klügel,et al.  Reply to the comment on J.U. Klügel's: Problems in the application of the SSHAC probability method for assessing earthquake hazards at Swiss nuclear power plants, in Engineering Geology, Vol. 78, pp. 285–307, by Wang, by J.U, Klügel , 2005 .

[45]  Robert J. Hansen,et al.  Seismic design for nuclear power plants , 1970 .

[46]  David M. Boore,et al.  Peak horizontal acceleration and velocity from strong motion records including records from the 1979 Imperial Valley, California, earthquake , 1981 .

[47]  Carl Allin Cornell,et al.  Probabilistic Analysis of Damage to Structures under Seismic Loads , 1971 .

[48]  James N. Brune,et al.  Methodology for using precarious rocks in Nevada to test seismic hazard models , 1999, Bulletin of the Seismological Society of America.

[49]  Julian J. Bommer,et al.  DETERMINISTIC VS. PROBABILISTIC SEISMIC HAZARD ASSESSMENT: AN EXAGGERATED AND OBSTRUCTIVE DICHOTOMY , 2002 .

[50]  Emilio Rosenblueth,et al.  Probabilistic Design to Resist Earthquakes , 1964 .

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

[52]  C. Allin Cornell,et al.  Seismic Risk Analysis of Boston , 1975 .

[53]  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 .

[54]  Zhenming Wang UNDERSTANDING SEISMIC HAZARD AND RISK ASSESSMENTS : AN EXAMPLE IN THE NEW MADRID SEISMIC ZONE OF THE CENTRAL UNITED STATES , 2006 .

[55]  J. Bommer,et al.  Relationships between Median Values and between Aleatory Variabilities for Different Definitions of the Horizontal Component of Motion , 2006 .

[56]  Ellis L. Krinitzsky,et al.  Earthquake probability in engineering—Part 2: Earthquake recurrence and limitations of Gutenberg-Richter b-values for the engineering of critical structures: The third Richard H. Jahns distinguished lecture in engineering geology , 1993 .

[57]  S. T. Algermissen,et al.  Probabilistic earthquake acceleration and velocity maps for the United States and Puerto Rico , 1990 .

[58]  Gail M. Atkinson,et al.  Single-Station Sigma , 2006 .