煤和瓦斯突出的固流耦合失稳理论

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，即突出是含瓦斯煤在体采掘活动影响下，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Ｄｉｒｉｃｈｌｅｒ势能量小原理作为突出发生准则，建立了瓦斯对影响的本构关系及煤和瓦斯突出固流耦合的数学模，并用有限元法进行数值模拟，结果表明，采深和瓦斯压的增加都将使突出发生的危险增加。

THEORY OF INSTABILITY OF FLOW FIXATION COUPLING FOR COAL AND GAS OUTBURST

instability theory of flow fixation coupling is proposed based on the mechanism of interaction between coal solid deformation and infiltration of gas in coal. That is,coal and gas outburst is a rapid and sudden local failure of gaseous coal resulted from mining.The three main factors are:stress,gas and coal quality. A mathematic model for flow fixation coupling for coal and gas outburst and the constitutive relation between coal and gas are established by using Dirichlet's potential minimum principle as a criterion for occurrence of outburst. And numeric simulation is made by finite element method.The results show that the proneness of outburst will increase with the increase of mining depth and gas pressure.