A grade-consistent nonlinear model for ultrasound generation in seismic wave propagation

A. L. Krylov; N. G. Mazur; V. N. Nikolaevskij; G. A. El'

A grade-consistent nonlinear model for ultrasound generation in seismic wave propagation

A. L. Krylov^*, N. G. Mazur, V. N. Nikolaevskij, G. A. El'

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

On the basis of a detailed analysis of the grade-consistent micropolar model for a granular solid medium, equations for the propagation of weak nonlinear waves have been developed. The high-frequency oscillation mode is associated with ultrasonic waves, the low-frequency one relates to common seismic waves in rocks. On the basis of asymptotic consideration, evolutionary equations have been obtained, including for the case of LW-SW resonance. The latter corresponds to the generation of ultrasound (noise) by passing seismic waves.

Original language	English
Pages (from-to)	100-109
Number of pages	10
Journal	Prikladnaya Matematika i Mekhanika
Volume	57
Issue number	6
Publication status	Published - 1 Nov 1993
Externally published	Yes

Cite this

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abstract = "On the basis of a detailed analysis of the grade-consistent micropolar model for a granular solid medium, equations for the propagation of weak nonlinear waves have been developed. The high-frequency oscillation mode is associated with ultrasonic waves, the low-frequency one relates to common seismic waves in rocks. On the basis of asymptotic consideration, evolutionary equations have been obtained, including for the case of LW-SW resonance. The latter corresponds to the generation of ultrasound (noise) by passing seismic waves.",

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AU - Krylov, A. L.

AU - Mazur, N. G.

AU - Nikolaevskij, V. N.

AU - El', G. A.

PY - 1993/11/1

Y1 - 1993/11/1

N2 - On the basis of a detailed analysis of the grade-consistent micropolar model for a granular solid medium, equations for the propagation of weak nonlinear waves have been developed. The high-frequency oscillation mode is associated with ultrasonic waves, the low-frequency one relates to common seismic waves in rocks. On the basis of asymptotic consideration, evolutionary equations have been obtained, including for the case of LW-SW resonance. The latter corresponds to the generation of ultrasound (noise) by passing seismic waves.

AB - On the basis of a detailed analysis of the grade-consistent micropolar model for a granular solid medium, equations for the propagation of weak nonlinear waves have been developed. The high-frequency oscillation mode is associated with ultrasonic waves, the low-frequency one relates to common seismic waves in rocks. On the basis of asymptotic consideration, evolutionary equations have been obtained, including for the case of LW-SW resonance. The latter corresponds to the generation of ultrasound (noise) by passing seismic waves.

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M3 - Article

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JF - Prikladnaya Matematika i Mekhanika

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A grade-consistent nonlinear model for ultrasound generation in seismic wave propagation

Abstract

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