“…Commonly rather simple models are used to represent the soil medium behavior, such as elastic [8,9] or elastic plastic with elastic volumetric deformation [10][11][12]. However, proper representation of the soil behavior should account for the bulk irreversible compaction [6,13,14] (including the stage of a full compaction [15] and, sometime, of full locking [16]), as well as elastic plastic behavior of the deviatoric parts depending on the soil pressure. An accompanied problem of much interest that is developed throughout this process is the cavity development and expansion around the explosive location [17] and its interaction with an obstacle in the case of an explosive that is placed in close proximity to the obstacle.…”