Physical Oceanography, Vol. 15, No. 3, 2005
THERMOHYDRODYNAMICS OF THE OCEAN
EVALUATION OF THE PARAMETERS OF TSUNAMI WAVES ALONG
THE SOUTH COAST OF THE CRIMEAN PENINSULA
S. F. Dotsenko
Within the framework of a nonlinear model of long waves, we present the estimates of the par-
ameters of tsunami waves along the south coast of the Crimean Peninsula (from Cape Khersones
to Cape Meganom) with a space resolution of
km. The numerical analysis is carried out for
four typical positions of the elliptic zones of generation and the range of magnitudes
We study the space structure of waves and determine the amplitudes and periods of oscillations
of the level at 11 points of the analyzed part of the coastline of the Black Sea.
At present, we know about 22 wave events in the Black-Sea basin which can be regarded as tsunami waves
[1–6]. This phenomenon was observed along the entire coast of the Black Sea and generated by the earthquakes
whose epicenters were located in the sea or inside the continent. There are only for four cases in the 20th cen-
tury for which the instrumental data on the tsunami waves were accumulated along the sea coast . These data
were generalized in [1, 7]. The estimates of the reliability of information concerning tsunami waves in the Black
Sea according to the scale of reliability proposed in  can be found in .
The available quite modest array of the data of observation of tsunamis does not enable us to perform the
comprehensive investigation of this phenomenon and describe its development in the Black-Sea basin. In similar
cases, we are faced with the necessity of application of regional numerical models. To analyze the physical re-
gularities of the propagation and transformation of tsunami waves in the Black Sea, we realized three types of
numerical prognostic models, namely, the beam (refraction) model [1, 9] and the one-  and two-dimensional
[6, 11–13] finite–difference models of the evolution of waves in the open sea and in the shelf zone.
In what follows, we present the results of numerical simulation of the propagation of tsunami waves in a re-
gion of the Black Sea neighboring with the south coast of the Crimean Peninsula. The corresponding local mo-
del allows one to study the characteristics of tsunami waves near the coast in more details. To specify the par-
ameters of seismic perturbations of the sea, we use the empirical relations deduced for the Eurasian and Pacific
regions. We also analyze the space structure and elements of long waves in the shelf zone for various magni-
tudes and locations of the zones of seismic generation of tsunami.
Mathematical Model Used for the Prediction of Tsunami
To predict the height of tsunami waves near the coast, we use a nonlinear model of long barotropic waves
with parametrization of the bottom friction by a square dependence on the horizontal velocity. In the evolution
problem, the response of the liquid to an underwater seaquake is regarded as an initial perturbation, i.e., as a
Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
10, May–June, 2005. Original article submitted December 8, 2003.
0928-5105/05/1503–0133 © 2005 Springer Science+Business Media, Inc. 133