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Generation of Hydroelastic Surface Waves in Heavy Fluid by Harmonic Seismic Sources in Elastic Half‐Space
Author(s) -
SekerjZenkovitch S. Ya.,
Shingareva I. K.,
Zakharov D. D.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.199807815104
Subject(s) - rayleigh wave , inviscid flow , half space , compressibility , dipole , physics , rotation (mathematics) , mechanics , surface wave , harmonic , transformation (genetics) , geology , classical mechanics , mathematical analysis , geometry , mathematics , acoustics , optics , biochemistry , chemistry , quantum mechanics , gene
The influence of layered ocean structure on the tsunami generation under action of seismic sources is studied in the long‐wave approximation. The ocean consists of two incompressible inviscid heavy fluid layers with close densities (its bottom assumed to be linearly elastic). Three harmonic sources are considered: center of rotation or of dilatation, and momentless double dipole. On the basis of integral transformation method, and of asymptotic expansions, three waves (Rayleigh, tsunami, and interface one) are singled out to describe the far field. Using MAPLE system of symbolic computations, the numerical investigation is performed. The conclusions are formulated.