Geodesic
Slow wave in a two-layer acoustic wave guide, placed in an elastic medium
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 109-116

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Kinematic characteristics of a slow wave, propagating in acoustic medium consisting of a two layer (water-oil, gas-oil), and locating inside elastic medium are considered. It is shown that the slow wave appear for arbitrary parameters of model. Its velocty in the low-frequency approx-imation depend on the gas and liquid densities and do not depend on the velocities in its. Dispersion curves of phase velocity of wave are constructed for the wide band of frequencies. 
@article{ZNSL_2002_285_a7,
     author = {P. V. Krauklis and L. A. Krauklis},
     title = {Slow wave in a two-layer acoustic wave guide, placed in an elastic medium},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {109--116},
     publisher = {mathdoc},
     volume = {285},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a7/}
}
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P. V. Krauklis; L. A. Krauklis. Slow wave in a two-layer acoustic wave guide, placed in an elastic medium. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 31, Tome 285 (2002), pp. 109-116. http://geodesic.mathdoc.fr/item/ZNSL_2002_285_a7/