Gradient-consistent non-linear model of the generation of ultrasound in the propagation of seismic waves

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

The equations of the propagation of weak non-linear waves are obtained by a detailed analysis of the gradient-consistent micropolar model of a granular continuous medium. The high-frequency mode of oscillation is associated with ultrasonic waves, and the low-frequency mode is associated with the usual seismic waves in rocks. The evolution equations that include the case of long-wave-short-wave resonance are obtained by an asymptotic consideration. This resonance corresponds to the case of the generation of ultrasound (noise) by travelling seismic waves.

Original languageEnglish
Pages (from-to)1057-1066
Number of pages10
JournalJournal of Applied Mathematics and Mechanics
Volume57
Issue number6
DOIs
Publication statusPublished - 1993
Externally publishedYes

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