  The damage characteristics of a shallow buried tunnel under multiple
explosive loads is an important research issue in the design and evaluation of
protective engineering. It is of great significance to develop a method for
early warning of the safety of the shallow buried features. The discrete
element method is used to establish a mechanical model of the shallow buried
tunnel. The South Load Equivalent Principle treats blast loads as a series of
dynamic forces acting uniformly on the surface. Based on the discrete element
method, the dynamic response after each blast load and the damage evolution
process of the surrounding rock of the tunnel are obtained. The strength
reduction method is used to obtain the surrounding rock of the tunnel.
Introduce the theory of continuous homology, and use the mathematical method of
continuous homology to quantitatively and qualitatively analyze the failure
characteristics of the discrete element model under multiple explosive loads.
The results show that the method of continuous homology can accurately reflect
the topological characteristics of the surrounding rock of the tunnel The
maximum one-dimensional bar code connection radius can effectively warn tunnel
instability. This provides a new mathematical method for tunnel safety design
and disaster prediction research.
