Abstract

Extensive graphical results are given of a non-linear transport equation approach (derived and described in part I of this work) for crack population in a spherical medium surrounding a charged borehole. The central quantity numerically computed by time integration is the “damage” or the total volume associated with the cracks. Typically, intensive cracking (large damage) appears near the borehole and close to the surface (spalling), where the detonation pulse becomes (upon reflection) tensile. The extents and quantities of damage in these two zones are given as functions of the sample size, initial crack distribution, attenuation length and the form of the pulse. An interesting result arising from this non-linear method is the disappearance of the spall zone in spite of the relatively strong tensile part of the wave. This phenomenon is caused by the increased attenuation of the tensile pulse (on its way to the surface) due to the large number of cracks (either iniatially present or formed later).

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