本文基于傅里叶变换的截断高斯场方法的理论,通过从实际多孔介质二维切片的二元化图像中提取孔隙率和自相关函数来构造整个三维多孔结构。模拟结果显示通过傅里叶变换技术得到的随机过程确实满足高斯分布,且构造出的三维多孔结构的统计特性基本与二维切片类似,说明了该技术能够构造出符合要求的三维多孔介质,从而为进一步从孔隙尺度研究其内部传热传质过程奠定了基础。
This paper reconstructs the three dimensional porous media from the porosity and the autocorrelation function obtained from the 2D thin section of a real porous media using a truncated Gaussian method based on Fourier transforms. The results show that the random field obtained by the Fourier transform satisfies the Gaussian distribution and the statistical properties between the reconstructed porous media and the 2D thin section are approximately identical. It indicates that the proper 3D porous media can be reconstructed using the technique above and the technique establishes the basis for the further study on the complicated heat and mass transfer in the porous media.