Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (10): 1145-1152.

• 论文 • 上一篇    下一篇

ANOMALOUS DIFFUSION IN FRACTAL POROUS MEDIUM

王子亭   

  1. Department of Applied Mathematics, University of Petroleum, Dongying 257062, P. R. China
  • 收稿日期:1999-01-23 修回日期:2000-06-29 出版日期:2000-10-18 发布日期:2000-10-18
  • 基金资助:
    the Natural Science Foundation of Petroleum University

ANOMALOUS DIFFUSION IN FRACTAL POROUS MEDIUM

WANG Zi-ting   

  1. Department of Applied Mathematics, University of Petroleum, Dongying 257062, P. R. China
  • Received:1999-01-23 Revised:2000-06-29 Online:2000-10-18 Published:2000-10-18
  • Supported by:
    the Natural Science Foundation of Petroleum University

摘要: Fractal media has many characteristics different from those of homogeneous media, it has a correlated self-similar structure. The particle diffusion in pore fractal is different from Fick’s diffusion, and its mean-squared displacement follows fractal scaling law. The model of particle diffusion in pore fractal by means of the statistics method of stochastic process is structured and some fractal characteristics and non-Markov property are proved.

Abstract: Fractal media has many characteristics different from those of homogeneous media, it has a correlated self-similar structure. The particle diffusion in pore fractal is different from Fick’s diffusion, and its mean-squared displacement follows fractal scaling law. The model of particle diffusion in pore fractal by means of the statistics method of stochastic process is structured and some fractal characteristics and non-Markov property are proved.

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