Asymptotic analysis of surface waves at vacuum/porous medium and liquid/porous medium interfaces
- Edelman, Inna
- Wilmański, Krzysztof
2010 Mathematics Subject Classification
- 35C20 35L50 74J15
- asymptotic expansions, waves in porous media
Surface waves at a free interface of a saturated porous medium and at an interface between a porous medium and a liquid are investigated. Existence and peculiarities of such surface waves are revealed. At a free interface two types of surface waves are proved to be possible: the true Stoneley wave, propagating almost without attenuation, and the leaky generalized Rayleigh wave, which reradiates a part of its energy into interior of a medium. At a porous medium/liquid interface three types of surface waves are expected. These are the true Stoneley wave, the pseudo Stoneley wave, and the generalized Rayleigh wave.
- Contin. Mech. Thermodyn. 14 (2002), pp. 25--44