On the velocity of the Biot slow wave in a porous medium: Uniform asymptotic expansion
- Edelman, Inna
2010 Mathematics Subject Classification
- 35C20 35L45 74F10 74J10 76M45
- Porous media, bulk waves, asymptotics, bifurcation
Asymptotic behavior of the Biot slow wave is investigated. Formulae for short- and long-wave approximations of phase velocity of the P2 wave are presented. These asymptotic expansions are compared with exact solution, constructed numerically. It is shown that both expansions fit very well the real velocity of the P2 mode. Procedure for matching of short- and long-wave asymptotic expansions is suggested.