A New Method for Estimation of the Attenuation Relationship with Variance Components

Chen, Yi‐Hau; Tsai, Chih-Hsin

doi:10.1785/0120010205

Cited by 72 publications

(60 citation statements)

References 14 publications

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“…Thanks to the increasing availability of strong-motion records, several recent studies propose to refine groundmotion variability analyses by splitting sigma into various component (e.g., Chen and Tsai, 2002;Al-Atik et al, 2010;Rodriguez-Marek et al, 2011;Edwards and Fäh, 2013). Following the notation of Al-Atik et al (2010), the total variability can then be expressed as σ tot ϕ 2 τ 2 q ;…”

Section: Introductionmentioning

confidence: 99%

Is Ground‐Motion Variability Distance Dependent? Insight from Finite‐Source Rupture Simulations

Imtiaz¹,

Causse²,

Chaljub³

et al. 2015

Bulletin of the Seismological Society of America

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The ground-motion variability sigma is a fundamental component in probabilistic seismic-hazard assessment because it controls the hazard level at very low probabilities of exceedance. So far, most of the analyses based on empirical ground-motion prediction equations do not consider any distance dependency of sigma. This study aims to analyze the potential distance dependency of ground-motion variability, especially in the near-field region, where the variability is poorly constrained due to the lack of available records. We, therefore, investigate the distance dependency of sigma by performing numerical simulations of ground motion for some strike-slip events. Synthetic velocity seismograms (up to 3 Hz) have been generated from a suite of finite-source rupture models of past earthquakes. Green's functions were calculated for a 1D velocity structure using a discrete wavenumber technique (Bouchon, 1981). The within-event component of the ground-motion variability was then evaluated from the synthetic data as a function of distance. The simulations reveal that the within-event component of the ground motion shows a distance dependency, subject to the rupture type. For bilateral ruptures, the variability tends to increase with distance. On the contrary, in case of unilateral events, the variability decreases with distance.

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Section: Introductionmentioning

confidence: 99%

Is Ground‐Motion Variability Distance Dependent? Insight from Finite‐Source Rupture Simulations

Imtiaz¹,

Causse²,

Chaljub³

et al. 2015

Bulletin of the Seismological Society of America

View full text Add to dashboard Cite

show abstract

“…The technique presented here complements the procedures of Lee et al (1998) andChen andTsai (2002), which have similar aims. However, both these methods rely on large welldistributed datasets in order to obtain robust results.…”

Section: Introductionmentioning

confidence: 87%

“…However, both these methods rely on large welldistributed datasets in order to obtain robust results. In particular, the method of Chen and Tsai (2002) derives GMPEs, requires the existence of many dozens of records from individual stations and earthquakes. In contrast the procedure proposed here needs significantly less data.…”

Section: Introductionmentioning

confidence: 99%

Investigating strong ground-motion variability using analysis of variance and two-way-fit plots

Douglas

Gehl

2008

Bull Earthquake Eng

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To cite this version:John Douglas, Pierre Gehl. Investigating strong ground-motion variability using analysis of variance and two-way-fit plots. Bulletin of Earthquake Engineering, Springer Verlag, 2008, 6 (3) Abstract A simple method to quantitatively assess the relative importance of unmodelled site and source effects on the observed variation in ground motions is presented. The method consists of analysis of variance (ANOVA) using the computed residuals with respect to an empirical ground-motion model for strong-motion records of various earthquakes recorded at a common set of stations. ANOVA divides the overall variance into the components due to site and source effects not modelled by the ground-motion model plus the residual variance not explained by these factors. To test this procedure, four sets of observed strongmotion records: two from Italy (Umbria-Marche and Molise), one from the French Antilles and one from Turkey, are used. It is found that for the data from Italy the vast majority of the observed variance is attributable to unmodelled site effects. In contrast, the variation in ground motions in the French Antilles and Turkey data is largely attributable, especially at short periods, to source effects not modelled by the ground-motion prediction equations used.

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“…Woo et al, 2006), although there are some techniques that try to overcome this limitation (e.g. Anderson and Brune, 1999;Chen and Tsai, 2002). Ergodicity is also fundamental for studies of some seismic sequences in the time domain where they appear as a chaotic point-process (e.g.…”

Section: Introductionmentioning

confidence: 99%

Ergodicity of the recent geomagnetic field

Santis

Qamili

Cianchini

2011

Physics of the Earth and Planetary Interiors

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Please cite this article as: De Santis, A., Qamili, E., Cianchini, G., Ergodicity of the recent geomagnetic field, Physics of the Earth and Planetary Interiors (2011), doi: 10.1016/j.pepi.2011 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. AbstractThe geomagnetic field is a fundamental property of our planet: its study would allow us to understand those processes of Earth's interior, which act in its outer core and produce the main field. Knowledge of whether the field is ergodic, i.e., whether time averages correspond to phase space averages, is an important question since, if this were true, it would point out a strong spatiotemporal coupling among the components of the dynamical system behind the present geomagnetic field generation. Another consequence would be that many computations, usually undertaken with many difficulties in the phase space, can be made in the conventional time domain. We analyse the temporal behaviour of the deviation between predictive and definitive geomagnetic global models for successive intervals from 1965 to 2010, finding a similar exponential growth with time. Also going back in time (at around 1600 and 1900 by using the GUFM1 model) confirms the same findings. This result corroborates previous chaotic analyses made in a reconstructed phase space from geomagnetic observatory time series, confirming the chaotic character of the recent geomagnetic field with no reliable prediction after around 6 years from definitive values, and disclosing the potentiality of estimating important entropic quantities of the field by time averages.Although more tests will be necessary, some of our analyses confirm the efforts to improve the representation of the geomagnetic field with more detailed secular variation and acceleration.

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A New Method for Estimation of the Attenuation Relationship with Variance Components

Cited by 72 publications

References 14 publications

Is Ground‐Motion Variability Distance Dependent? Insight from Finite‐Source Rupture Simulations

Is Ground‐Motion Variability Distance Dependent? Insight from Finite‐Source Rupture Simulations

Investigating strong ground-motion variability using analysis of variance and two-way-fit plots

Ergodicity of the recent geomagnetic field

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