### Abstract

The variation of scattering attenuation ratios of P and S waves (Q_{P}^{-1}/Q_{S}^{-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 = α_{0}/β_{0}) 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 language | English |
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Pages (from-to) | 211-224 |

Number of pages | 14 |

Journal | Geophysical Journal International |

Volume | 158 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2004 Jul 1 |

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### All Science Journal Classification (ASJC) codes

- Geophysics
- Geochemistry and Petrology

### Cite this

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*Geophysical Journal International*, vol. 158, no. 1, pp. 211-224. https://doi.org/10.1111/j.1365-246X.2004.02298.x

**Scattering attenuation ratios of P and S waves in elastic media.** / Hong, Tae Kyung.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Scattering attenuation ratios of P and S waves in elastic media

AU - Hong, Tae Kyung

PY - 2004/7/1

Y1 - 2004/7/1

N2 - 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 = α0/β0) 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.

AB - 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 = α0/β0) 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.

UR - http://www.scopus.com/inward/record.url?scp=3843062594&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3843062594&partnerID=8YFLogxK

U2 - 10.1111/j.1365-246X.2004.02298.x

DO - 10.1111/j.1365-246X.2004.02298.x

M3 - Article

AN - SCOPUS:3843062594

VL - 158

SP - 211

EP - 224

JO - Geophysical Journal International

JF - Geophysical Journal International

SN - 0956-540X

IS - 1

ER -