Mathematical Simulation of Underground Explosion
The zones of cavity (zone 1), crush (zone 2), radial cracks (zone 3) and elastic deformation (zone 4) around initial cavity with explosive are usually investigated when explosive process modelling. The zone of cavity appears near the initial cavity with explosive as a result of its expansion; farther is the zone of crush, then is the zone of radial cracks and lastly the zone of elastic deformations. Determination of these zone sizes is necessary for both the right understanding of physical processes of explosion and mathematical model construction for the right description of fracture processes. It is known that the radius of cavity zone r1<2.5r0 (r0 is the radius of initial cavity with explosive), the radius of crush zone r2<10r0 and the radius of radial crack zone r3<100r0 (Fig. 1). The use of theoretical investigations makes it possible to determine sizes of these zones more exactly for materials and rocks.
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