Fractal dimension for tortuous streamtubes in porous media

Fractals

Volumn 15, Issue 4, 2007, Pages 385-390

  Yongjin, Feng ^a   Boming, Yu ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Fractal dimension; Porous media; Tortuosity

Indexed keywords

MATHEMATICAL MODELS; POROSITY; POROUS MATERIALS;

ANALOGY MODEL; ANALYTICAL EXPRESSIONS; TORTUOSITY;

FRACTAL DIMENSION;

EID: 37249039406     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0218348x07003654     Document Type: Article

References (11)

1. S. W. Wheatcraft and S. W. Tyler, An explanation of scale-dependent dispersitvity in heterogeneous aquifers using concepts of fractal geometry, Water Resour. Res. 24 (1988) 566-578.
2. A. Majumdar, Role of fractal geometry in the study of thermal phenomena, in Annual Review of Heat Transfer, Vol. 4 (Hemisphere Publishing Co., 1992), pp. 51-110.
3. M. Sahami, Flow phenomena in rock: from continuum models to fractals, percolation, cellular automata, and simulated annealing, Rev. Mod. Phys. 65 (1993) 1393-1534.
4. J. Bear, Dynamics of Fluids in Porous Media (American Elsevier Publishing Company Inc., New York, 1972), pp. 441, 460 and 461.
5. M. Kaviany, Principles of Heat Transfer in Porous Media, 2nd edn. (Springer-Verlag New York, Inc., 1995), pp. 430 and 478-487.
6. J. Feder, Fractals (Plenum Press, New York, 1988), pp. 8 and 31-61.
7. B. M. Yu and P. Cheng, A fractal permeability model for bi-dispersed porous media, Int. J. Heat Mass Transfer 45 (2002) 2983-2993.
8. B. Q. Zhang and X. F. Liu, Effects of fractal trajectory on gas diffusion in porous media, AIChE J. 49 (2003) 3037-3047.
9. B. M. Yu, Fractal character for tortuous streamtubes in porous media, Chin. Phys. Lett. 22 (2005) 158-160.
10. B. M. Yu and J. H. Li, A geometry model for tortuosity of flow path in porous media, Chin. Phys. Lett. 21 (2004) 1569-1571.
11. B. M. Yu and J. H. Li, Some fractal characters of porous media, Fractals 9 (2001) 365-372.