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The damage characteristics of a shallow buried tunnel under multipleexplosive loads is an important research issue in the design and evaluation ofprotective engineering. It is of great significance to develop a method forearly warning of the safety of the shallow buried features. The discreteelement method is used to establish a mechanical model of the shallow buriedtunnel. The South Load Equivalent Principle treats blast loads as a series ofdynamic forces acting uniformly on the surface. Based on the discrete elementmethod, the dynamic response after each blast load and the damage evolutionprocess of the surrounding rock of the tunnel are obtained. The strengthreduction method is used to obtain the surrounding rock of the tunnel.Introduce the theory of continuous homology, and use the mathematical method ofcontinuous homology to quantitatively and qualitatively analyze the failurecharacteristics of the discrete element model under multiple explosive loads.The results show that the method of continuous homology can accurately reflectthe topological characteristics of the surrounding rock of the tunnel Themaximum one-dimensional bar code connection radius can effectively warn tunnelinstability. This provides a new mathematical method for tunnel safety designand disaster prediction research.

Sustained Coherence Characteristics of Failure Process of Shallow Buried Tunnel under Multiple Explosive Loads based on Persistent Homology