Quasi-static model for predicting explosion cavity with spherical charges

The characteristic dimension of the explosion-generated cavity in the soil is the most important influence factor for the feature of the far field seismic wave. In this paper we established a quasi-static model to predict the characteristic dimension of the cavity. When a spherical charge was detonated in the homogeneous, incompressible, infinite and elastic mediums, the analytical expressions of the fine crushing zone and the radial fissures zone were shown in this model. In addition, we also used this model to calculate the dimension of the divisions in different conditions. Finally, we conducted a comparison among the quasi-static model, the dynamic model and the experiments. The errors range of the quasi static model was 5.4%-16.0%. The results show that our model can be used to predict exactly the dimension of the cavity.