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Journal of Mining Science, Vol. 45, No. 5, 2009 MODELING THE ELASTIC WAVE PROPAGATION
 

Summary: 427
Journal of Mining Science, Vol. 45, No. 5, 2009
MODELING THE ELASTIC WAVE PROPAGATION
IN A BLOCK MEDIUM UNDER THE IMPULSE LOADING
N. I. Aleksandrova, M. V. Ayzenberg-Stepanenko*, and E. N. Sher UDC 622.7 + 622
The wave propagation analysis revealed that the low-frequency pendulum wave propagating in a 2D block
medium with periodic structure due to the action of local impulse has a two-wave structure. The shape of
such wave depends on its propagation direction. Modeling the blast-induced seismic wave propagation in a
two-layer block rock mass with the weak upper layer and stiff lower layer showed that the far distant point
from the wave excitation source is first reached by the small amplitude pendulum wave running in the stiffer
lower layer and then by the delayed maximum-amplitude wave propagating in the upper layer.
Elastic wave, block rock mass, impulse loading, pendulum wave, two-layer medium
Down to recent times, the rock mechanics and geophysics have extensively been using a theory
that a rock mass deforms as a uniform medium dynamics of which is described by the linear theory of
elastic wave propagation. The latter theory grounded methodological outlines for stress calculation in
rocks with excavations, as well as for seismic data processing and interpretation in geoexploration and
mining.
The recent investigations motivate the reconsideration of the prevailing opinions by pointing at the
block structure of rock masses to be taken into account in mathematical models of geomechanical and
seismic events. These studies have highly been inspired by Sadovsky's fundamental concept on block

  

Source: Alexandrov, Victor - Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk

 

Collections: Mathematics