考虑采空区瓦斯抽采工作面漏风引起采空区遗煤氧化升温问题,基于Darcy渗流定律、Fick扩散定律和Fourier导热定律,利用质量守恒方程和能量守恒方程建立了考虑温度变化的采空区流场、瓦斯浓度场、氧浓度场、固体温度场和气体温度场的瓦斯抽采多场耦合数学模型;应用有限体积法分别离散了考虑温度变化下的采空区瓦斯抽采多场耦合二维数学模型,基于Microsoft Visual Basic编制了计算机解算程序,利用Tecplot软件对求解结果进行可视化,研究了瓦斯抽采前后的采空区瓦斯压力、瓦斯浓度、氧浓度、固体温度和气体温度分布情况及前后变化趋势.结果表明:瓦斯抽采前,采空区下隅角附近存在明显的气体高压区并且向四周逐渐降低,上隅角附近存在明显的气体低压区并且向四周逐渐升高;瓦斯浓度从下隅角向上隅角逐渐降低,采空区深处的瓦斯体积分数高于近工作面处,高达16.0％;采空区下隅角附近的氧气体积分数较高,达到7.0％,且氧气浓度由下隅角向上隅角逐渐降低;在采空区漏入风侧存在明显的固体和气体高温区,并且温度由此处向四周逐渐降低.瓦斯抽采后,在抽采点处形成气体低压区,气体压力在采空区深度方向变化趋势缓慢;采空区上隅角的瓦斯浓度大幅降低,而采空区深处的瓦斯受抽采的影响较小;采空区浅部(0～100 m)氧气浓度升高,采空区深部(100～300 m)氧气浓度基本保持不变;高温区依旧形成于采空区漏入风侧,但高温区的范围有所扩大,采空区内固体和气体温度最大值要比抽采前高2℃.

Based on the triaxial compression tests of sandstone under constant confining pressures, stress-strain curves under different confining pressures were obtained. Based on the volumetric strain of cracks in the compression process, damage variable was defined and the increment of the volumetric strain of cracks was assumed to follow Weibull distribution. In consideration of the nonlinear elastic properties and the effect of residual stress in the process of rock compression, and based on strain equivalence hypothesis, the statistical damage constitutive model of sandstone under triaxial compression was deduced theoretically. The theoretical model was verified by experiments, and the physical meaning and change laws of each model parameter under different confining pressures were also discussed. The research results show that the model is correct and reasonable.