Asymptotic Structure of the Seismic Radiation from an Explosive Column

Marco Rosales-Vera,Iván Piñeyro,Gastón Pinilla

doi:10.1155/2018/9681465

Abstract

We study the structure of the seismic radiation in the far field produced by an explosive column. Using an asymptotic solution for the far field of vibration (Heelan’s solution), we find analytical expressions to the peak particle velocity (PPV) diagrams. These results are extended to the case of a charge with finite velocity of detonation.

Highlights

The radiation of elastic waves produced by a cylindrical charge in a borehole has important applications in seismic exploration, mining geophysics, and blast vibration prediction
A pioneering theoretical work is that developed by Heelan (1953) [1, 2], where he study the radiation from a cylindrical source of finite length, the walls of which are subjected to symmetric lateral and tangential stresses
In this work we study the structure of the seismic radiation in the far field produced by an explosive column

Summary

Introduction

The radiation of elastic waves produced by a cylindrical charge in a borehole has important applications in seismic exploration, mining geophysics, and blast vibration prediction. A pioneering theoretical work is that developed by Heelan (1953) [1, 2], where he study the radiation from a cylindrical source of finite length, the walls of which are subjected to symmetric lateral and tangential stresses. His papers were credited with demonstrating the generation of shear waves by artificial sources in a borehole; at the time this was a fundamentally surprising result. The results are compared with those existing in the literature

Mathematical Model

60 P wave

Conclusions