Calculation of Ground Shock Motion Produced by Near Surface Airburst Explosions Using Cagniard Elastic Propagation Theory

摘要

The exact closed form integral solutions of Cagniard (1) for the reflection and refraction of spherical waves in elastic solids were adapted and extended to model the ground shock propagation in a layered earth. In this formulation the particle motion is obtained as a sum of components propagated along rays or paths associated with distinct P and S wave arrivals. Calculations using the Cagniard procedure were used previously successfully by the author to predict the reflection of underwater explosion shock waves from the ocean bottom. The theoretical analysis and computer code development for the ground shock calculations were extensions of the bottom reflection study. The details of the theoretical model and the computer code used in the elastic ground motion calculation are not presented but will be given in a forthcoming report In addition, background information and some other recent applications of the Cagniard elastic propagation theory, are provided.