Transports in fractal porous media

Journal of Hydrology

Volumn 187, Issue 1-2, 1996, Pages 195-213

  Adler, P M ^a  

^a INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF WATER; FRACTALS; POROUS MATERIALS;

CONTINUOUS DETERMINISTIC FRACTALS; FRACTAL POROUS MEDIA; PHASE TRANSPORTS;

HYDROLOGY;

POROUS MEDIA; TRANSPORT PHENOMENA;

FRACTAL DIMENSION; POROUS MEDIUM; SINGLE PHASE TRANSPORT; SOLUTE TRANSPORT;

EID: 0030300846     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(96)03096-X     Document Type: Article

References (17)

1. Adler, P.M., 1986. Transport processes in fractals. VI, Stokes flow through Sierpinski carpets. Phys. Fluids, 29: 15-22.
2. Adler, P.M., 1987. Hydrodynamic properties of fractal flocs. Faraday Discussion Chem. Soc., 83: 145-153.
3. Adler, P.M., 1988. Fractal porous media, III. Transversal Stokes flow through random and Sierpinski carpets. Transp. Porous Media, 3: 185-198.
4. Adler, P.M., 1989. Flow in porous media. In: D. Avnir (Editor), The Fractal Approach to Heterogeneous Chemistry. John Wiley, pp. 341-359.
5. Adler, P.M., 1990. Fractal porous media. In: J. Bear and M.Y. Corapcioglu (Editors), Transports Processes in Porous Media. Nato ASI Series E, Applied Sci., Vol. 202, Kluwer, pp. 723-743.
6. Adler, P.M., 1992. Porous Media: Geometry and Transports. Butterworth/Heinemann.
7. Ben Avraham, D. and Havlin, S., 1983. Exact fractals with adjustable fractal and fracton dimensionality. J. Phys., A16, L559-L563.
8. Brenner, H., 1980. Dispersion resulting from flow through spatially periodic porous media. Phil. Trans. R. Soc., London, A297: 81-133.
9. Gefen, Y., Mandelbort, B.B. and Aharony, A., 1980. Critical phenomena on fractal lattices. Phys. Rev. Lett., 45: 855-858.
10. Gefen, Y., Meir, Y., Mandelbrot, B.B. and Aharony, A., 1983. Geometric implementation of hypercubic lattices with non-integer dimensionality by use of low lacunarity fractal lattices. Phys. Rev. Lett., 50: 145-148.
11. Hutchinson, J.E., 1981. Fractals and self-similarity. Indiana Univ. Math. J., 30: 713-747.
12. Jacquin, C.G. and Adler, P.M., 1987. Fractal porous media II, Geometry of porous geological structures. Trans. Porous Media, 2: 571-596.
13. Lemaître, R. and Adler, P.M., 1990. Fractal porous media, IV, Three dimensional Stokes flow through random media and regular fractals. Transp. Porous Media, 5: 325-340.
14. Mandelbrot, B.B., 1982. The Fractal Geometry of Nature. Freeman, San Francisco.
15. Sallès, J., Prérors, L., Delannay, R., Thorert, J.-F., Auriault, J.L. and Adler, P.M., 1993. Taylor dispersion in random media and regular fractals. Phys. Fluids, AS: 2348-2376.
16. Thovert, J.F., Wary, F. and Adler, P.M., 1990. Thermal conductivity of random media and regular fractals. J. Appl. Phys., 68: 3872-3883.
17. Vignes-Adler, M., Adler, P.M. and Gougat, P., 1987. Transport process along fractals. The Cantor-Taylor brush. Phys. Chem. Hydrodyn., 8: 401-422.