中文摘要：

在矿井瓦斯地质研究基础上，根据煤与瓦斯突出黏滑机理和突变理论，建立了煤与瓦斯突出黏滑失稳一突变理论预警模型．以瓦斯因素和地质因素为煤与瓦斯突出预警的控制变量，将其归类分化为相应的预警指标，提出了突出危险等级划分指标的界限，利用模糊数学推导出突变模糊隶属度函数，选择对应突变模型计算出突出警情的突变级数．以潞安环能股份有限公司余吾煤业为例对煤与瓦斯突出黏滑失稳一突，芝预警模型的可行性进行了验证．

英文摘要：

According to gas-geological research, an early-warning model of coal and gas outburst was built based on the stick-slip and catastrophe theory. In the model, gas factors and geological factors were considered as control variables of coal and gas outburst early-warning and were classified to the corresponding early warning indexes, then the coal and gas outburst grades of danger were determined and their warning index limits were divided. ~zzy mathematics was used to deduce the mutation fuzzy membership function, and the catastrophe series, which can reflect the outburst, was worked out by means of choosing the corresponding mutation model. An example of Yuwu Coal Mine of Lu＇an Environmental Energy Development Co., Ltd. verified the feasibility of this early-warning model.