Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
The 32nd ISCIE International Symposium on Stochastic Systems Theory and Its Applications (Nov. 2000, Tottori)
Stochastic Properties of Earthquake Source Time Function Modeled by Impulse Train
Hitoshi MORIKAWASumio SAWADAKenzo TOKIKunio KAWASAKIYasushi KANEKO
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2001 Volume 2001 Pages 183-188

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Abstract
In order to discuss the relationship between the lower and higher frequency components of source spectra, we deal with impulse train model as source time function, because spectral characteristics of source time function depend on occurrence times of impulse function which corresponds to small extent on the fault. Considering the successive rupture of small extent on a fault plane, we represent the source time function by time series which consist of random sequence of impulses. Under this assumption, the spectral characteristics of source time function are obtained analytically and numerically from the stochastic viewpoints: namely, on one hand, the trend of impulse train determines the frequency characteristics of phase spectrum in lower frequency range, and on the other hand, the fluctuation from the trend settles higher frequency range. Furthermore, it is shown that the spectral properties of source time function can be determined using only two parameters which are number of impulses N and probability density function (PDF) of occurrence time of impulse fT(t).
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© 2001 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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