NONLINEAR PLANE WAVES LOCALIZED IN A POROUS MEDIUM WITH HOLLOWS FILLED WITH A LIQUID

The propagation of periodic (cnoidal) longitudinal plane waves and solitons in a porous medium with hollows fi lled with a liquid was investigated on the assumption that the energy of a wave is not dissipated in the medium. The infl uence of the parameters of this system, in particular, the sizes of the spherical hollows, on the main parameters (amplitude and width) of a solitary wave propagating in the medium and the infl uence of the nonlinearity of the velocity of this wave on its amplitude and wave number were determined. The results obtained were compared with the corresponding data for solitons demonstrating classical behavior. The dispersion properties of a porous medium with hollows fi lled with a liquid were considered, and the behavior of the corresponding dispersion curves depending on the changing parameters of the medium was analyzed.
   
Author:  S. M. Aizikovich, V. I. Erofeev, and A. V. Leont′eva
Keywords:  liquid-saturated porous medium with hollows, Biot medium, longitudinal plane wave, cnoidal wave, soliton
Page:  1369