GRADIENT-CONSISTENT NONLINEAR MODEL OF THE GENERATION OF ULTRASOUND IN THE PROPAGATION OF SEISMIC-WAVES

Authors
KRYLOV AL MAZUR NG NIKOLAYEVSKII VN EL GA
Citation
Al. Krylov et al., GRADIENT-CONSISTENT NONLINEAR MODEL OF THE GENERATION OF ULTRASOUND IN THE PROPAGATION OF SEISMIC-WAVES, Journal of applied mathematics and mechanics, 57(6), 1993, pp. 1057-1066
Citations number
10
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
57
Issue
6
Year of publication
1993
Pages
1057 - 1066
Database
ISI
SICI code
0021-8928(1993)57:6<1057:GNMOTG>2.0.ZU;2-Z
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 ass ociated 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.