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Envelope broadening of spherically outgoing waves in three-dimensional random media having power law spectra
https://nied-repo.bosai.go.jp/records/4460
https://nied-repo.bosai.go.jp/records/446023a833b4-6961-42dd-93c4-2514469cbe74
Item type | researchmap(1) | |||||||||||
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公開日 | 2023-03-30 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Envelope broadening of spherically outgoing waves in three-dimensional random media having power law spectra | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
著者 |
T Saito
× T Saito
× H Sato
× M Ohtake
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抄録 | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | [1] High-frequency S wave seismogram envelopes are broadened with increasing travel distance due to diffraction and scattering. The basic mechanism of the broadening has been studied on the basis of the scattering theory with the parabolic approximation for the scalar wave equation in random media. However, conventional models are not realistic enough since the plane wave modeling is too simple and the Gaussian autocorrelation function (ACF) is far from the reality to represent the inhomogeneity in the Earth. Focusing on the early part of envelopes, we formulated the envelope broadening of spherically outgoing scalar waves in three-dimensional von Karman-type random media, of which the spectra decay according to a power law at large wave numbers. Random media are characterized by three parameters: RMS fractional velocity fluctuation epsilon, correlation distance a, and order kappa that controls the gradient of the power law spectra. This model predicts that the envelope duration increases with both travel distance and frequency when short-wavelength components are rich in random media, while the duration is independent of frequency when short-wavelength components are poor. Introducing phenomenological attenuation Q, we developed a method for estimating the parameters of inhomogeneity and attenuation from the envelope duration. Applying this method to S wave seismogram envelopes for the frequency range from 2 to 32 Hz in northeastern Honshu Japan, we estimated the random inhomogeneity parameters as kappa = 0.6, epsilon(2.2)a(-1) approximate to 10(-3.6) [km(-1)] and f/Q = 0.0095 [s(-1)], where f is frequency. The power law portion of the estimated power spectral density function is P( m) approximate to 0.01 m(-4.2) [km(3)], where m is wave number. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH 巻 107, 号 B5 |
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出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | AMER GEOPHYSICAL UNION | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | EISSN | |||||||||||
収録物識別子 | 2169-9356 | |||||||||||
DOI | ||||||||||||
関連識別子 | 10.1029/2001JB000264 |