中文摘要：

通过三维CT成像技术获得孔隙岩石内部孔隙结构图像，计算了孔隙岩石的孔隙度与统计特征函数；采用随机堆积球的方法，生成了一组与CT模型具有相同孔隙率、不同孔隙结构特征的模型，利用格子Bohzmann方法计算了渗透率，并分析了孔隙结构的统计特征函数与其渗透率之间的关系。结果表明，岩石孔隙结构特征对其渗透率具有重要影响，两点概率函数与线性路径函数距离坐标原点的偏离程度能够很好的反应孔隙岩石渗透率的大小。

英文摘要：

With the 3D CT image technology, internal porous structure images of the porous rock were obtained and the porosity and statistical eigenfunction of the porous rock were calculated. A randomly packed sphere method was applied to establish a group of model with same porosity and different porous structure features as the CT model. A lattices Boltzmann method was applied to calculate the permeability and to analyze the statics eigenfunction of the porous structure and the relationship with the permeabilities. The results showed that the porous structure features of the rock would have important influences to the permeability and the deviation degree of the coordinate origin distanced to the two points probability function and the linear path function could well reflect the size of the porous rock permeability.