Nonlinear effects near an explosions
Alvarado de la Tejera, Salvador
De Bremaecker, Jean-Claude
Master of Arts
The purpose of this study is to find the dimensions of the shattered zone produced by the explosion of a spherical charge, in terms of the properties of the medium and the weight of the explosive charge; and then, to establish a relationship between the size of this nonlinear region and the frequency spectrum of the elastic signal. The computation of the size of the shattered zone, shows that this region is bounded by a so called "Critical Radius," which occurs when the shock wave pressure caused by the explosion decreases in value until it equals the yield strength of the medium. Within this region, different values of the shock wave pressure for different values of explosive charges follow the Principle of Similarity. The calculation of the frequency spectra, shows that for an ideally elastic medium, the shape of the frequency spectrum of the signal outside the shattered zone, changes as a function of both the critical radius and the P-wave velocity of the medium.