We study how the tsunami mode is generated by a scaled double-couple seismi
c source, and how it propagates in realistic oceanic models. The method dev
eloped and used is the direct extension to tsunami waves propagating in mul
tilayered oceanic media of the well-known Haskell method. The most intensiv
e tsunamis may be expected from sources located within the crust in the dee
p-water parts of the ocean. The extension to laterally heterogeneous struct
ures shows that, if the thickness of the ocean liquid layer diminishes, the
maximum amplitude of the tsunami wave train increases.