The mathematical models based on fuzzy mathematics and grey system theory were applied to the prediction of the natural slope failure due to underground excavation under complex topography in mountain areas.

Large displacements of slope and surface deformation due to underground excavation are discussed using the DDA model with results compared with those from DEM.

In order to ensure normal use of the near buildings under the influence of underground excavation,we need an accurate assessment on the influence of the underground excavating on the adjacent buildings damage.

Based on the underground digging problem of city building and the mining production, the character and the law of surface deformation caused by underground digging are studied the damage of buildings caused by surface deformation is analyzed the height influence on the building s resistant ability is studied.