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本文经随机实验统计分析得出孔隙率函数(3lnφ-2ln(1-φ))近似服从正态分布,在实验的粒径范围内(30~180 mm),其期望值和方差都随着岩块粒径的增大而增大.在推导出岩层二维下沉曲面方程的基础上,先后推演出燃空区冒落岩体孔隙率的连续非均质分布模型和随机离散化非均质分布模型.依据模型计算矩形煤火空间得出以下结果:燃空区浅部及边缘侧冒落岩体的孔隙率大,而中间区域孔隙率小;孔隙率等值线在x-y平面上的投影呈侧躺的“U”形分布;沿x轴,随着深入燃空区距离的增加,孔隙率呈类负指数形式衰减.此外,孔隙率连续分布和随机离散化分布,在整体的变化趋势上是相同的,区别之处在于后者所表示的孔隙率具有一定的随机波动性.将上述随机离散化模型应用在某火区温度场的数值模拟中,并经现场红外测温验证了模拟的准确性和孔隙率模型的适用性.
According to the statistical analysis of random experiments, the porosity function (3lnφ-2ln (1-φ)) approximates to the normal distribution. In the experimental range of particle size (30-180 mm), the expected value and variance are as follows On the basis of deducing the equation of 2-D sinking surface of rock strata, the continuous heterogeneity distribution model of porosity and randomized discrete heterogeneous distribution Model.The rectangular coal fire space is calculated according to the model and the following results are obtained: the porosity of the rock mass in the shallow part and the edge of the burned area is large while the porosity in the middle area is small; the projection of the porosity contour on the xy plane is Along the x-axis, porosity decreases exponentially as the distance goes deeper into the fossil fuel zone.In addition, the continuous distribution of porosity and the distribution of randomized discretization in the overall change Trend is the same, the difference lies in the porosity of the latter has a certain degree of stochastic volatility.The stochastic discretization model is applied to the numerical simulation of temperature field in a fire zone, and verified by field infrared thermometry The accuracy of the simulation and the applicability of the porosity model.