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

Research output: Contribution to journalArticlepeer-review


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

External departments

  • RAS - Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation
  • RAS - United Schmidt Institute of Physics of the Earth


Original languageEnglish
Pages (from-to)100-109
Number of pages10
JournalPrikladnaya Matematika i Mekhanika
Issue number6
Publication statusPublished - 1 Nov 1993
Externally publishedYes
Publication type

Research output: Contribution to journalArticlepeer-review


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.