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Journal of Mining Science, Vol. 46, No. 6, 2010 ROCK FAILURE
 

Summary: 639
Journal of Mining Science, Vol. 46, No. 6, 2010
ROCK FAILURE
WAVE PROPAGATION IN THE 2D PERIODICAL MODEL OF A
BLOCK-STRUCTURED MEDIUM. PART I: CHARACTERISTICS
OF WAVES UNDER IMPULSIVE IMPACT
N. I. Aleksandrova and E. N. Sher UDC 539.375
The authors use a two-dimension plane model to analyze seismic wave propagation in block-structured
media under impulse loading. Dynamics of the medium is described by means of pendulum approximation,
where blocks are considered incompressible and deformation and displacement occur via compressible
intermediate layers. The simplest calculation model of a square lattice composed of masses and springs
connected in axial and diagonal directions is under discussion in the article.
Block-structured medium, seismic waves, two-dimension lattice of masses, impulse loading, point source
Recent researches of seismic wave propagation in rocks have proved the need of making allowance
for block-like structure of rocks in geomechanical and seismic math modeling. The fundamental
conception of geomedium and its elements being structured as hierarchies of blocks was formulated by
Sadovsky [1]: a rock mass is a system of various scale blocks that are nested in one another and mutually
linked by intermediate layers composed of weaker and fractured rocks, this hierarchical system deforms
nonlinearly and possesses complex rheology. Presence of pliant intermediate layers conditions that a
block rock mass deforms due to deformation of these interbeds, both is statics and dynamics. It was said

  

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

 

Collections: Mathematics