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 language | English |
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Pages (from-to) | 1057-1066 |
Number of pages | 10 |
Journal | Journal of Applied Mathematics and Mechanics |
Volume | 57 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1993 |
Externally published | Yes |