The paper describes mathematical model and numerical results of the study of seismic impact on the buried in the ground projectile with fuse. Projectiles with fuse belong to potentially dangerous objects. The computer estimation of operational condition of potentially dangerous objects is actual problem for Moldova, as well as for other regions. Their damage or destruction in the event of seismic impact (or other force majeure) may lead to environmental disasters. Full-scale physical tests in the industry is not always possible or expensive, therefore increases the relevance of mathematical modeling.