Abstract: In water conservancy, hydropower, tunnel of railway and road, and mining industries, many underground works are carried out under slope, making it even more difficult to study the stability of complex underground works.Taking the mining carried out under slope in an open-pit coal mine as the engineering case, the rule of the entropy catastrophe was used to analyze the stability of the wall rock, whose result was then compared with that of numerical simulation.The study concludes that the rock in Profile A is not steady while that in Profile B is comparatively stable.This study is of some reference significance to the safety reliability of real engineering.

Key words: Underground works under slop, Stability, Rule of entropy catastrophe, Numerical simulation