CATASTROPHE MODEL FOR ANALYSIS OF GEOMETRICAL INSTABILITY OF HORIZONTAL ORE LAYER OF MINE ZONE NO.2 IN JINCHUAN NICKEL MINE

At first,the HOL was simplified as a mechanical model of a beam on elastic foundation according to its geological condition and cutting characteristics.Then,using catastrophe theory,a catastrophe model was established for the HOL.Based on the model,the necessary and sufficient condition of the hazardous geometrical instability accident for the HOL was obtained.At last,the geometrical instability for the HOL was analyzed with the necessary condition.Analytical result shows that the abrupt catastrophic geometrical instability accident for the HOL will not happen.