CAJ | 학술논문

本文经随机实验统计分析得出孔隙率函数(3ln渍-2ln(1-渍))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。
본문경수궤실험통계분석득출공극솔함수(3ln지-2ln(1-지))근사복종정태분포，재실험적립경범위내(30~180 mm)，기기망치화방차도수착암괴립경적증대이증대。재추도출암층이유하침곡면방정적기출상，선후추연출연공구모락암체공극솔적련속비균질분포모형화수궤리산화비균질분포모형。의거모형계산구형매화공간득출이하결과：연공구천부급변연측모락암체적공극솔대，이중간구역공극솔소；공극솔등치선재x-y평면상적투영정측당적“U”형분포；연x축，수착심입연공구거리적증가，공극솔정류부지수형식쇠감。차외，공극솔련속분포화수궤리산화분포，재정체적변화추세상시상동적，구별지처재우후자소표시적공극솔구유일정적수궤파동성。장상술수궤리산화모형응용재모화구온도장적수치모의중，병경현장홍외측온험증료모의적준학성화공극솔모형적괄용성。
Through statistical analysis of random experiments, there is a function of porosity 3lnφ-2ln(1-φ) that approximately follows a normal distribution. In the test particle size range of 30 to 180 mm, the expectation and variance of this function value increase with an increase in grain size of rock blocks. On the basis of deriving the subsidence hypersurface equation of a basic roof, a continuous inhomogeneous distribution model and a random inhomogeneous distribution model of porosity in the combustion space area ( CSA) are deduced. For a rectangular coal fire space, the porosity in the shallow and edge side of CSA is large, but in the middle region is small. In the x-y plane, the porosity contour appears a side lying U-shaped distribution, and the porosity presents negative exponent attenuation with an increase in distance entering CSA along the x axis. In addition, the overall trend of the porosity of contin-uous distribution and random distribution is the same, but the difference is that the porosity described by the random distribution model has a certain stochastic volatility. The random distribution model of porosity has been used in a numerical simulation of the temperature field in a fire zone, and the accuracy of simulation and the applicability of this porosity model are verified by infrared temperature measurements.