Numerical simulation method of safe distance between concealed karst cave and tunnel based on energy catastrophe

摘要

Stability of rock stratum between concealed karst cave and tunnel is evaluated by the catastrophe theory. The numerical simulation method of safe distance between concealed karst cave and tunnel is proposed based on catastrophe theory energy catastrophe. Through array of rock stratum energy change and distance change between concealed karst cave and tunnel, a cusp catastrophe model of safe distance between concealed karst cave and tunnel is built. The simulation of safe distance between concealed karst cave and tunnel can be finished by Ansys program and Matlab, and automatically calculates the safe distance by a compile interface program, which is verified by engineering example.