Scattering attenuation ratios of P and S waves in elastic media

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The variation of scattering attenuation ratios of P and S waves (QP-1/QS-1) is investigated in elastic media by using numerical simulations and theoretical expressions based on the first-order Born approximation. Numerical results from stochastic random media (von Karman, exponential, Gaussian) with mild velocity perturbation (10 per cent in this study) are represented well by theoretical attenuation curves with a minimum scattering angle of 60-90°. The level of scattering attenuation ratios is dependent on the velocity ratio (γ = α00) and the type of medium. The change of perturbation in the density introduces a relatively small variation in attenuation ratio. Attenuation ratios are proportional to normalized frequency (fa, frequency-by-correlation length) at the intermediate-frequency range (0.1 km s-1 < f a < 10 km s-1) and determined constant at the high-frequency (f a > 10 km s-1) and low-frequency (f a < 1 km s-1) regimes. The von Karman-type models look appropriate for the representation of small-scale variation in the Earth. The scattering attenuation ratios can be implemented for the investigation of small-scale heterogeneities in the Earth.

Original languageEnglish
Pages (from-to)211-224
Number of pages14
JournalGeophysical Journal International
Issue number1
Publication statusPublished - 2004 Jul

All Science Journal Classification (ASJC) codes

  • Geophysics
  • Geochemistry and Petrology


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