
Meanwhile, Sharpe also took the influences of the detonation pressure of explosive source and the seismic wave attenuation with the increase of spreading distance into consideration when making the model.

obtained the analytical solution of the elastic waves in the viscoelastic medium models of Duvall and Ricker. Targeting at the theoretical model of point-source explosion and based on the research of Sharpe, Blake et al. Sharpe obtained the elastic wave analytical solution of the pressure on the wall of the spherical explosive cavity. established a cavity vibration model in one-dimensional space, based on which a method for calculating the cavity size under spherical impact was given out. To study the seismic wave forming process induced by explosive source, Jeffreys et al. Considering that the explosive source and the physical properties of the excitation medium have significant effects on seismic wave characteristics, the theoretical relationship between the explosive source and excitation medium parameters and the amplitude-frequency characteristics of the seismic waves can be established, thus to acquire the seismic waves satisfying the demands of seismic exploration by designing proper explosives excitation plan. It provides high-frequency and broad-frequency domain to achieve higher seismic resolution, aiming to satisfy the “smaller, thinner, and deeper” demands of seismic prospecting. IntroductionĮxplosive is a common seismic source used for stimulating seismic waves artificially in seismic prospecting. The research shows that the theoretical model built up in this study can describe the characteristics of the seismic wave spectrum excited by explosive in a comparatively accurate way. The main frequency and the bandwidth of the seismic waves formed by the detonation of the explosives in the silt clay increase by 23.2% and 13.6% compared to those exploded in the silt. The results of using this model show that the main frequency and the bandwidth of the seismic waves caused by the explosion are influenced by the initial detonation pressure, the adiabatic expansion of the explosive, and the geotechnical parameters, which increase with the reduction of initial detonation pressure and the increase of the adiabatic expansion. The model for calculating the seismic wave spectrum excited by explosive source was acquired by taking the seismic source model of spherical cavity as the basis. To reveal the characteristics and laws of the seismic wavefield amplitude-frequency excited by explosive source, the method for computing the seismic wave spectrum excited by explosive was studied in this paper.
