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Empirical Improvements For Estimating Earthquake Response Spectra With Random‐Vibration Theory

D. Boore, E. Thompson
Published 2012 · Computer Science

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The stochastic method of ground-motion simulation is often used in combination with the random-vibration theory to directly compute ground-motion in- tensity measures, thereby bypassing the more computationally intensive time-domain simulations. Key to the application of random-vibration theory to simulate response spectra is determining the duration (Drms) used in computing the root-mean-square oscillator response. Boore and Joyner (1984) originally proposed an equation for Drms, which was improved upon by Liu and Pezeshk (1999). Though these equations are both substantial improvements over using the duration of the ground-motion ex- citation for Drms, we document systematic differences between the ground-motion intensity measures derived from the random-vibration and time-domain methods for both of these Drms equations. These differences are generally less than 10% for most magnitudes, distances, and periods of engineering interest. Given the systematic nature of the differences, however, we feel that improved equations are warranted. We empirically derive new equations from time-domain simulations for eastern and western North America seismological models. The new equations improve the random-vibration simulations over a wide range of magnitudes, distances, and oscil- lator periods. Online Material: SMSIM parameter files, tables of coefficients and model parameters, and shaded contour plots of TD/RV ratios for two WNA models.
This paper references
10.1007/978-3-0348-8010-7_10
Simulation of Ground Motion Using the Stochastic Method
D. M. Boore (2003)
10.1785/0120050015
The Estimation of Minimum-Misfit Stochastic Models from Empirical Ground-Motion Prediction Equations
F. Scherbaum (2006)
10.1785/0120090056
Comparing Stochastic Point-Source and Finite-Source Ground-Motion Simulations: SMSIM and EXSIM
D. Boore (2009)
10.1785/0120050245
Earthquake Ground-Motion Prediction Equations for Eastern North America
G. Atkinson (2006)
10.3133/OFR9680A
SSMSIM : Fortran programs for simulating ground motions from earthquakes
D. Boore (1996)
An Improvement on the Estimation of Pseudoresponse Spectral Velocity Using RVT Method
L. Liu (1999)
10.1785/0120060034
Damping Correction Factors for Horizontal Ground-Motion Response Spectra
W. I. Cameron (2007)
10.18637/JSS.V042.I11
Genetic Optimization Using Derivatives: The rgenoud Package for R
W. Mebane (2011)
Simulation of artificial earthquakes, Earthq
G. R. Saragoni (1974)
Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra
D. Boore (1983)
PEGASOS: A comprehensive probabilistic seismic hazard assessment for nuclear power plants in Switzerland, in Proceedings
N. A. Abrahamson (2002)
10.1002/EQE.4290020305
Simulation of artificial earthquakes
G. R. Saragoni (1973)
10.1785/0120030175
Empirical Attenuation of Ground-Motion Spectral Amplitudes in Southeastern Canada and the Northeastern United States
G. Atkinson (2004)
PEGASOS Refinement Project: An improved PSHA for Swiss nuclear power plants
P. Renault (2010)
10.1007/PL00012553
Simulation of Ground Motion Using the Stochastic Method
D. M. Boore (2003)
PEGASOS: A comprehensive probabilistic seismic hazard assessment for nuclear power plants in Switzerland, in Proc
N. A. Abrahamson (2002)
Earthquake Ground-Motion Prediction Equations for Eastern
G. Atkinson (2007)
Attenuation and excitation of three-component ground motion in southern California
M. Raoof (1999)
A note on the use of random vibration theory to predict peak amplitudes of transient signals
D. Boore (1984)
Ground-motion relations for eastern North America
G. Atkinson (1995)
Structural Response to Stationary Excitation
A. Kiureghian (1980)
10.3133/OFR00509
SMSIM — Fortran Programs for Simulating Ground Motions from Earthquakes: Version 2.3 — A Revision of OFR 96–80–A
D. Boore (2000)
10.1098/rspa.1956.0173
The statistical distribution of the maxima of a random function
D. Cartwright (1956)
PEGASOS RefinementProject:An improvedPSHAforSwissnuclearpowerplants, in Proceedings of the 14th European Conference on Earthquake Engineering, Ohrid, Macedonia, 30 August–3 September 2010, paper no
P. Renault (2010)
10.1785/0119990064
Stochastic Modeling of California Ground Motions
G. Atkinson (2000)
Staedtke (2006).The estimation of minimum-misfit stochastic models from empirical ground-motion prediction equations, Bull. Seismol
F. 249–267. Scherbaum (2006)
Structural response to stationary excitation, J
A. Der Kiureghian (1980)



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10.1785/0120140022
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10.1785/0120140058
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10.1785/0120150129
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10.1785/0120150328
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10.1007/s10518-013-9482-z
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10.1785/0120140281
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Iswar D. Gupta (2017)
10.1785/GSSRL.83.1.190
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Analysis of the local site effects on the amplification of seismic ground motion in Croatia
D. Stanko (2018)
10.1785/0220150241
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Alireza Babaie Mahani (2016)
10.1785/0120160164
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A. Baltay (2017)
10.1785/0120170211
Development of Ground‐Motion Duration Models for Use in Random Vibration Theory Site‐Response AnalysisDevelopment of Ground‐Motion Duration Models
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10.1785/0120180095
Evaluation of the Interperiod Correlation of Ground‐Motion SimulationsEvaluation of the Interperiod Correlation of Ground‐Motion Simulations
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10.1080/10286608.2015.1046032
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10.1785/0120170076
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Albert R. Kottke (2020)
Westaway, R., and Younger, P. L. (2014) Quantification of potential macroseismic effects of the induced seismicity that might result from hydraulic fracturing for shale gas exploitation in the UK. Quarterly Journal
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