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根据煤体变形破坏与其中瓦斯渗流的相互影响和相互作用机理，提出了煤和瓦斯突出的固流耦合失稳理论，即突出是含瓦斯煤体在采掘活动影响下，局部发生迅猛、突然破坏而造成的，是应力、瓦斯及煤质３个主要因素综合作用的结果．采用Ｄｉｒｉｃｈｌｅｔ势能最小原理作为突出发生准则，建立了瓦斯对煤影响的本构关系及煤和瓦斯突出固流耦合的数学模型，并用有限无法进行数值模拟，结果表明，采深和瓦斯压力的增加都将使突出发生的危险增加．
According to the interaction and interaction mechanism between deformation and destruction of coal and its gas seepage, the theory of coupled solid-fluid instability of coal and gas outburst is put forward, that is, the outburst is the local occurrence of gas-bearing coal under the influence of excavation activity. And caused, is the result of the combined effect of stress, gas and coal quality three major factors. Based on Dirichlet potential minimum principle, the constitutive relation between gas and coal and the mathematical model of coal-gas outburst and fluid-flow coupling are established, and numerical simulation is conducted with limited results. The results show that both the mining depth and gas pressure increase Will increase the risk of highlighting.