Theoretical Basis of Empirical Relations About Response Spectra of Strong Ground-Motions

Takemura, Masashi; Ohta, Tokiharu; Hiehata, Shigeto

doi:10.3130/aijsx.375.0_1

Cited by 3 publications

(5 citation statements)

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“…One is an ambiguity in the physical meanings of the formulation (e.g., Takemura et al, 1987), and the other is an ambiguity in the interpretation of distance when the station is located within a source dimension from the earthquake fault (e.g., Shakal and Bernreuter, 1980). The first problem is a big obstacle in predicting the strength of ground motions for hypothetical earthquakes by extrapolation using the attenuation curve.…”

Section: Empirical Approachmentioning

confidence: 99%

“…The first problem is a big obstacle in predicting the strength of ground motions for hypothetical earthquakes by extrapolation using the attenuation curve. To solve this problem, Takemura et al (1987) proposed the following formula based on the point source solution of S-waves: (5) and the relation between the distance coefficient b and Q-value along the wave propagation path is as follows: (6) where T is the period, and Qs and Vs are Q-value of S-waves and S-wave velocity, respectively. Ishida (1986), Kudo (1982), Ohta and Kagami (1976) also derived the same kind of formulas with coefficients determined semi-empirically.…”

Section: Empirical Approachmentioning

confidence: 99%

“…Site specific amplification factors have been obtained from regression analysis for accelerograms (e.g., Kamiyama and Yanagisawa, 1986;Kinoshita et al, 1986;Takemura et al, 1987) based on formulas of attenuation curves for the observed response spectra, which are usually described by earthquake magnitude and hypocentral or epicentral distance. Details of the attenuation curves will be described in Subsec.…”

Section: Empirical Evaluation Of Site Amplification Factorsmentioning

confidence: 99%

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Strong Motion Seismology in Japan.

1995

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This paper reviews strong motion seismology in Japan. It describes advances in strong motion seismology in the last decade, the current state of the art, and unresolved issues in the following areas: (1) Observation and data processing of strong ground motion, (2) Local site effects, and (3) Simulation and prediction of strong ground motion. In the first area, it reviews the current state of strong motion observation and data processing: fundamental subjects in strong motion seismology. In the next area, it describes empirical evaluations of site amplification factors, effects of soil nonlinearity, effects of topographical and subsurface irregularity, and application of microtremors. In the last area, it summarizes the results of empirical, semi-empirical, and numerical techniques for the simulation and the prediction of strong ground motions due to actual earthquakes. Finally, future directions of research are suggested, based on the current state of the art in strong motion seismology.

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Section: Empirical Approachmentioning

confidence: 99%

Section: Empirical Approachmentioning

confidence: 99%

Section: Empirical Evaluation Of Site Amplification Factorsmentioning

confidence: 99%

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Strong Motion Seismology in Japan.

1995

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“…The coefficient b(T) is related to the Q-value (Qs) along the source-to-site propagation path of S-waves (Takemura et al, 1987) …”

Section: Regression Analysismentioning

confidence: 99%

“…Recently, to overcome the latter problem, a form of attenuation formula has been investigated from the physical point of view (Takemura et al, 1987;Fukushima and Tanaka, 1991), and the validity of the method for estimating regression coefficients has been discussed (Joyner and Boore, 1993). However, the problem of evaluating the effect of fault size in near-source regions has not been solved.…”

Section: Introductionmentioning

confidence: 99%

Intensity of Strong Ground Motion on Pre-Quaternary Stratum and Surface Soil Amplifications during the 1995 Hyogo-ken Nanbu Earthquake, Japan.

et al. 1996

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We obtained an attenuation relation of response spectra to magnitude, source-to-site distance and soil classification by performing regression analysis of strong-motion data recorded in California. We applied the attenuation relation to the 1995 Hyogo-ken Nanbu earthquake and found that the estimates at pre-Quaternary sites agree well with the observed values. Peak ground accelerations on pre-Quaternary stratum in Kobe are consistent with the source models, and they are estimated to be about 350 cm/s2, while the estimates for Awaji Island vary with the source models from 600 to 1,200 cm/s2. We calculated the amplification factors of Quaternary stratum during the Hyogo-ken Nanbu earthquake by taking ratios between the observed records at Quaternary sites and estimates on pre-Quaternary stratum. As the amplifications in the heavily damaged area are large near the natural period of wooden houses (04-0.5 s), these short-period amplifications might be one of the reasons Kobe suffered extensive damage. The estimated amplification factors generally agree with those estimated from other earthquake records as well as with one-dimensional wave propagation theory, while the amplifications at alluvial sites were larger at periods of more than 1 s and might be affected by surface waves.

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An Empirical Scaling of Strong-Motion Spectra With Application to Estimate of Source Spectra

Kamiyama

Matsukawa

1990

Doboku Gakkai Ronbunshu

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A new regression model of strong-motion spectra is derived by incorporating the conception of the dummy variables to the conventional regression model. The dummy variables are available not only to obtain the amplification factors due to local soil conditions of each observation site but also to estimate the non-linear dependences of spectral amplitude on earthquake magnitude and hypocentral distance. The new regression model is applied to 228 strong-motion spectra obtained in Japan. The regression results are used to estimate the source spectra, as well as being discussed in detail, in particular, from the view points of faulting and wave propagation mechanisms. It is finally concluded that the specific barrier model is more connected with the present statistical source spectra than the stochastic w-square model.

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Theoretical Basis of Empirical Relations About Response Spectra of Strong Ground-Motions

Cited by 3 publications

References 0 publications

Strong Motion Seismology in Japan.

Strong Motion Seismology in Japan.

Intensity of Strong Ground Motion on Pre-Quaternary Stratum and Surface Soil Amplifications during the 1995 Hyogo-ken Nanbu Earthquake, Japan.

An Empirical Scaling of Strong-Motion Spectra With Application to Estimate of Source Spectra

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