Applications of Partial Differential Equations in Stability Index and Critical Length in Avalanche Dynamics

In this study, Stability analysis of snow slab which is under detonation has developed in the present model. The model has been studied by using the basic concepts of non-detonation model and concepts of underwater explosions with appropriate modifications to the present studies. The studies have also been extended to account the effect of critical length variations at the time of detonation and its effects on various material parameters through the concepts of fracture mechanics. The results indicate that the stability and critical length values are lower for the detonation (present) values in comparison with the non-detonated values. The importance of the studies in Avalanche forecasting has been highlighted.