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为探索砂岩孔隙微观特征与宏观渗透性能的相关性,针对酸刺沟煤矿3个钻孔不同深度9个砂岩样本的SEM图像(放大1 000倍)进行统计分析,SEM图像中孔隙“周长-面积”具有较好的分形特征,分形维数值取1~1.3.之后,借鉴宏观砂岩孔隙中水体渗流的不等径毛束管模型,建立了基于微观孔隙分形特征的渗流不等径毛束管理论模型,推导了微观尺度下渗透系数和渗透率的计算理论模型,计算了各样本的渗透率和渗透系数,取值范围分别在0.002~0.09 m D和1.2~24.4 m/s.为验证理论模型的计算结果,对相同岩芯样本的渗透率进行了中尺度下的实测,实测值取值范围0.34~0.59 m D.最后经相关分析,建立了微观尺度和中尺度下渗透率的相关关系式,相关系数为0.7.可以得出结论,所建立砂岩孔隙微观尺度下渗透率计算的理论公式有一定的合理性,其与中尺度的渗透率存在一定的相关性.
In order to explore the correlation between microscopic characteristics of sandstone pores and macroscopic permeability, the SEM images (magnification of 1 000 times) of 9 sandstone samples of 3 boreholes at different depths in the S3 Mine were statistically analyzed. - area "has better fractal characteristics and the fractal dimension value is 1 ~ 1.3. After that, based on the unequal diameter capillary tube model of water seepage in macroscopic sandstone pores, a seepage unequal-diameter fur based on microscopic pore fractal features The theoretical model of permeability coefficient and permeability at micro scale was deduced, and the permeability and permeability coefficient of each sample were calculated, which ranged from 0.002 to 0.09 m D and 1.2 to 24.4 m / s, respectively The calculated results of the theoretical model verify that the permeability of the same core sample is measured at the mesoscale, and the measured values range from 0.34 to 0.59 m D. Finally, the correlation between the permeability at the mesoscale and the mesoscale The correlation coefficient is 0.7, and it can be concluded that the theoretical formula for permeability calculation at the microscopic scale of sandstone porosity is reasonable, which is related to the mesoscale permeability.