STUDY ON PREDICTION OF WATER-INRUSH FROM COAL FLOOR BASED ON CUSP CATASTROPHIC MODEL
基于尖点突变模型的煤层底板突水预测研究

When the water-pressure in floor stratum exceeds the floor strength after coal mining, the floor collapses and water-inrush from coal floor occurs. This phenomenon can be tackled by catastrophe theory. In the paper, a cusp catastrophic model of water-inrush from coal floor is established, and water-inrush mechanism of coal floor destruction is analyzed. The ratio of water pressure to stress, IP can be derived from the model. When Ip > 1, water-inrush from coal floor may occur. When Ip < 1, no water-inrush from coal floor occurs. The analysis of actual examples indicates that a cusp model is appropriate to describing the development of the ratio of water pressure to stress, and the prediction of water-inrush from coal floor is pertinent.