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International Journal of Fluid Mechanics Research

ISSN Print: 1064-2277
ISSN Online: 2152-5102

International Journal of Fluid Mechanics Research


pages 770-782

Normal Waves in an Elastic Porous Layer with Free Surfaces for the Case of Open

N. S. Gorodetskaya
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRACT

The dispersion properties of normal waves in an elastic porous layer are investigated on the basis of the Biot theory for the case of open pores. The resultant dispersion spectrum is much more complicated than of an ideal elastic layer even without allowance for dissipation, because of the existence of three kinds of waves in the porous, liquid-saturated medium. For a specific frequency, the elastic porous layer contains a finite number of real and an infinite number of pure imaginary and complex roots of the dispersion equation. The article compares the parameters of normal waves in an elastic porous layer with a free surface for the case of open and closed pores. The behavior of the first traveling wave is investigated in the low- and high-frequency limits.