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Abstract |
Mathematical Problems of Generation and
Interaction of Acoustic and Seismic Waves From Vibrational Sources
V.V.Kovalevsky, G.V.Reshetova
(Institute of Computational Mathematics and Mathematical Geophysics, SB RAS,
Novosibirsk, Russia)
e-mail:
vvkov@opg.sscc.ru
The
paper deals with the statement of mathematical problems and the analysis of
experimental data of physical phenomena, connected with generation,
long-distance propagation and interaction of the acoustic and the seismic waves
from powerful vibrational sources working on the interface of the elastic Earth
- atmosphere. This phenomena were observed in the experiments with powerful
seismic vibrators of the infrasonic frequency range, when the acoustic and the
induced surface seismic waves were recorded at the distances of 20 and 50 km
from the sources. Three problem of mathematical modeling of this phenomena are
considered. 1 - Modeling of acoustic waves radiation. The mathematical
statement of the problem is connected with solution of the direct dynamic problem
for an elastic medium and acoustics with a vibrational source on the interface
of two media. 2 - Modeling of long-distance propagation of acoustic waves. In
contrast to the seismic channel, the acoustic channel is much more variable and
depends on atmospheric conditions. The problem is three- dimensional and the
model of a medium should be nonlinear and include characteristics of a real
atmosphere - the altitude distribution of a density, temperature and velocity
of a wind in order to determine conditions of the formation of the near-surface
wave channel. 3 - Modeling of acousto-seismic induction process. The
mathematical statement is the solution of the direct dynamic problem for an
layered elastic medium and acoustics with the acoustic wave moving at the angle
to the interface of two media.
Section
: 6