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This study reveals how Rayleigh waves change above their high-frequency cutoff. The surface wave transforms into a pseudo-interface wave, radiating energy as P2-waves into the poroelastic material.

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Area of Science:

  • Geophysics
  • Acoustics
  • Materials Science

Background:

  • Rayleigh waves propagating along permeable boundaries of poroelastic half-spaces exhibit high-frequency cutoffs.
  • Above this cutoff, the Rayleigh pole becomes absent, indicating a change in wave behavior.

Purpose of the Study:

  • To investigate the specific characteristics of surface wave propagation during the transition through the high-frequency cutoff.
  • To analyze the transformation of Rayleigh waves in poroelastic media.

Main Methods:

  • Theoretical investigation utilizing Biot's theory for poroelasticity.
  • Inclusion of experimentally determined mechanical parameters for water-saturated sintered glass beads.

Main Results:

  • The upper cutoff frequency for Rayleigh waves can occur within a range where the wavelength is significantly larger than pore size.
  • Beyond the cutoff frequency, the Rayleigh pole shifts to an unphysical Riemann sheet.
  • The Rayleigh wave transforms into a pseudo-interface wave.

Conclusions:

  • The transition through the cutoff frequency causes the Rayleigh wave to become a pseudo-interface wave.
  • This transformation involves the radiation of energy into the half-space as P2-wave motion.
  • The findings are relevant for understanding wave propagation in porous materials.