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

• Articles • Previous Articles     Next Articles

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

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.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals