Abstract
The propagation of surface waves over a statistically uneven bottom is considered on the basis of equations of the linear potential theory. The expression which emphasizes the dispersion influence is obtained for the spatial decrement of the average field. The north-east Pacific is considered as an example.
Similar content being viewed by others
References
Howe, M. S. On wave scattering by random inhomogeneities with application to the theory of water bores.J. Fluid Mech. (1971)45, 785–804.
Elter, J. F. and Molyneax, J. E. The long-distance propagation of shallow water waves over an ocean of random depth.J. Fluid Mech. (1972)53, 1–15.
Pelinovsky, E. N. Propagation of waves in a statistically inhomogeneous ocean. In:Non-linear Waves. Moscow: Nauka (1979), pp. 331–551.
Ermakov, S. A. On the attenuation of internal waves in the ocean with a rough bottom.Izv. Acad. Sci. USSR, Fiz. Atmos. Okeana (1977)13, 1296–1301.
Bourret, R. C. Stochastically perturbed fields with application to wave propagation in random media.Nuovo Cimento (1962)26, 1–31.
Holloway, G., Murty, T. and Fok, E. Effects of bathymetric roughness upon tsunami travel time.Sci. Tsunami Hazard. (1986)4, 165–172.
Ermakov, S. A. and Pelinovsky, E. N. Anomalous attenuation of tsunami in a stratified ocean with a rough bottom.Izv. Acad. Sci. USSR, Fiz. Atmos. Okeana (1979)15, 662–668.
Bell, T. H. Topographically generated internal waves in the open ocean.J. Geophys. Res. (1975)80, 320–327.
Additional information
Translated by Mikhail M. Trufanov.
Rights and permissions
About this article
Cite this article
Dyatlov, A.I., Pelinovsky, E.N. Scattering of surface waves in a basin with a statistically uneven bottom. Soviet Journal of Physical Oceanography 1, 411–415 (1990). https://doi.org/10.1007/BF02196994
Issue Date:
DOI: https://doi.org/10.1007/BF02196994