Stability of Deep Coal Pillar Based on Catastrophe Theory
The stability of the protective coal pillar under deep conditions was studied which based on the long distance inclined tunnel construction using shield method in Shenhua Xinjie coal mine.It was found that,according to differences in stress characteristics in different regions,the coal pillar can be divide into elastic core zone and edge plastic zone,on this basis,a coal pillar cusp-catastrophe model was established,and a formula for determining the instability of the coal pillar was derived.The macroscopic process of coal pillar instability evolution can be described by the cusp catastrophe model effectively.The stable state of protective coal pillars under deep shield inclined tunnels during mining was analyzed through numerical calculation.As the experiment results showed,as the mining energy of the coal mining slowly releases,the 120 m coal pillar gradually yielded from the edge to the interior,and a 4.5 m plastic zone appeared on one side.By formula calculation,coal pillar in this project can maintain stability under deep mining conditions.The research results provide a reference for the reasonable design of coal pillars in similar projects.