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.
参考文献
| [1] | J.A.Quiblier .A New Three-Dimensional Modeling Technique for Studying Porous Media[J].Journal of Colloid and Interface Science,1984,98:84-102. |
| [2] | Z.R.Liang;C.P.Fernandes;F.S.Magnani;P.C.Philippi .A Reconstruction Technique for Three-Dimensional Porous Media Using Image Analysis and Fourier Transforms[J].Journal of Petroleum Science and Engineering,1998,21:273-283. |
| [3] | M E Kainourgiakis;E S Kikkinides;Th A Steriotis et al.Structural Transport Properties of Alumina Porous Membranes from Process-Based and Statistical Reconstruction Techniques[J].Journal of Colloid and Interface Science,2000,231:158-167. |
| [4] | 南京工学院数学教研组.工程数学积分变换[M].北京:高等教育出版社,2001 |
| [5] | Papoulis A.Probability,Random Variables,and Stochastic Process[M].New York:McGraw-Hill,1965 |
| [6] | P M Adler;C G Jacquin;J A Quiblier .Flow in Simulated Porous Media[J].International Journal of Multiphase Flow,1990,16(04):691-712. |
| [7] | 何光渝;高水利.Visual Fortran常用算法集[M].北京:科学出版社,2002 |
| [8] | E Pardo-Igúzquiza;M Chica-Olmo .The Fourier Integral Method:an Efficient Spectral Method for Simulation of Random Fields[J].Mathematical Geology,1993,25(02):177-217. |
| [9] | Joshua Wilson Cooper .Characterization and Reconstruction of Three-Dimensional Porous Media[D].The Faculty of the Department of Chemical Engineering University of Houston,2001. |
| [10] | 陈萍;李文;张正军.概率与统计[M].北京:科学出版社,2002:38-39. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%