Asymptotic analysis of surface waves at vacuum/porous medium interface: Low-frequency range
- Edelman, Inna
2010 Mathematics Subject Classification
- 35C20 35L50 74J15 74J10 35B32
- porous media, bulk waves, surface waves, asymptotics, bifurcation
Existence and propagation of the surface waves at a free interface of a saturated porous medium are investigated in the low-frequency range. Similar to the high-frequency range, two types of surface waves are proven to be possible: the generalized Rayleigh wave, which exists always and propagates almost without attenuation and the Stoneley wave, which exists for a limited range of wave numbers and is strongly attenuated. Bifurcation behavior of both the Stoneley wave and the Biot slow bulk wave depending on wave number is revealed.
- Wave Motion 39 (2004), pp. 111--127