论文部分内容阅读
将含瓦斯煤岩体简化为气饱和的各向同性均质体,基于混合物理论建立了含瓦斯煤岩体的物理方程、几何方程、连续方程和动力控制方程。瓦斯抽采孔的长度远大于直径,将瓦斯抽采过程中抽采负压引起的孔壁的动态响应问题简化为二维平面应变问题,借助Laplace变换和Laplace逆变换分别建立了相关问题的频域和时域解答。以河南省某煤矿的煤岩体瓦斯参数为例,对孔边的动态响应进行了数值计算,分析了无量纲径向位移、径向应力和环向应力等的变化规律,结果表明:径向位移和径向应力等动态响应主要集中在孔边的一定区域内,且该区域随着抽采时间的增大而扩大;孔壁产生波动较大的环向应力,且该环向应力随着抽采负压的增大而增大。
Based on the mixture theory, the physical equation, geometric equation, continuous equation and dynamic governing equation of gas-bearing coal and rock mass are established. The length of gas drainage hole is much larger than the diameter, which simplifies the dynamic response problem of hole wall caused by negative pressure during gas drainage to two-dimensional plane strain problem. The Laplace transform and Laplace inverse transform are used to establish the correlation frequency Domain and time domain solutions. Taking the gas and coal gas parameters of a coalmine in Henan province as an example, the dynamic response of the borehole is numerically calculated and the variation rules of radial displacement and radial stress are analyzed. The results show that the radial The dynamic responses such as displacement and radial stress are mainly concentrated in a certain area of the edge of the hole, and the area expands with the increase of extraction time. The ring wall produces a large circumferential stress, Pumping negative pressure increases and increases.