One-dimensional Mathematical Model Of Seepage Failure Of Coal Containing Gas

In order to study the process of coal and gas outburst,tectonic coal as the physical basis of coal and gas outburst,to establish one-dimensional mathematical model of continuous infiltration failure of coal and gas.Based on the established one-dimensional seepage instability criterion,it is assumed that the coal wall background pressure is decayed by exponential law,integrated into state equation of ideal gas and continuity equation to establish one-dimensional mathematical model of seepage failure of coal containing gas.To solve the one-dimensional mathematical model of seepage failure of coal containing gas through finite-difference method,and analyze the primary instability and sustainable stratified instability of coal seam.The results show that the greater the coal seepage rate and the slower the background pressure dissipation,the greater the thickness of the unstable stratified stratum and the greater the interval of the stratified instability.The faster the dissipation rate of coal gas wall background pressure,the greater the intensity.In order to study the effect of the dissipation rate of coal gas wall background pressure,using the self-made experimental equipment to do the uncovering coal experiment of seal door,the uncovering coal experiment of sand and gravel reverse filter layer,the uncovering coal experiment of metal electrode bar grill,and the uncovering coal experiment of roadway barrier-free.Four kinds of uncovering coal experiments’ coal samples are compacted by 15MPa pressure,the total mass of coal sample quality was 35kg,and the quality of the loose coal sample was 0.30kg,1.80kg,5.36kg and 23.88kg.Outburst total mass of coal sample quality accounted for the total mass ratio was 0.85%,5.10%,15.3%and 68.4%.The experimental results show that the uncovering coal experiment of seal door,the uncovering coal experiment of sand and gravel reverse filter layer,the uncovering coal experiment of metal electrode bar grill,and the uncovering coal experiment of roadway barrier-free outburst scales are increased.