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Some References on Fractals
& Porous Media


(1) Michel Rieu and Garrison Sposito, "Fractal Fragmentation,
Soil Porosity, and Soil Water Properties: I. Theory and
II. Applications," SOIL SCI. AM. J., SEP-OCT, (1991),
pp. 1231-1238 and 1239-1244.



(2) A. J. Katz and A. H. Thompson, "Fractal Sandstone Pores:
Implications for Conductivity and Pore Formation," Physical
Review Letters, Volume 54 (1985), Number 12: pp. 1325-1328.



(3) "Fractals and Rocks," The Technical Review (Schlumberger)
Volume 36, Number 1.



(4) Po-zen Wong, "FRACTAL SURFACES IN POROUS MEDIA,"
AIP Conference Proceedings - March 25, 1987 - Volume 154, Issue 1,
pp. 304-318.



(5) Allen G. Hunt, "PERCOLATION THEORETICAL TREATMENTS
OF WATER RETENTION AND UNSATURATED HYDRAULIC
CONDUCTIVITY: RELEVANCE TO WATER AND ENERGY FLUXES
ACROSS THE LAND-AIR INTERFACE," CIRES, University of
Colorado, Boulder, CO.


(6) Allen G. Hunt, "Continuum Percolation Theory for Water Rentention
and Hydraulic Conductivity of Fractal Soils: Extension of the Critical
Volume Fraction for Percolation and Extension to Non-Equilibrium,"
CIRES, University of Colorado, Boulder, CO.



(7) Annette Dathe and Martin Thullner, "The Relationship between fractal
properties of solid matrix and pore space in porous media," Geoderma
129 (2005), pp. 279-290.



(8) N. R. A. Bird and E. M. A. Perrier, "The pore-solid fractal model of soil
scaling," European Journal of Soil Science, Volume 54, Issue 3 (2003),
pp. 467-475.



(9) Kewen Li, "Characterization of Rock Heterogeneity Using Fractal
Geometry," Society of Petroleum Engineers (2004), SPE 86975



(10) Edity Perrier, Nigel Bird, and Michel Rieu, "Generalizing the fractal
model of soil structure: the pore-solid fractal approach," Geoderma,
Volume 88 (1999), pp. 137-164.



(11) Po-zen Wong, "THE STATISTICAL PHYSICS OF SEDIMENTARY
ROCK," PHYSICS TODAY, DECEMBER (1988), pp. 24-32.



(12) Alison N. Anderson, John W. Crawford, and Alex B. McBratney,
"On Diffusion in Fractal Soil Structures," Soil Science Society of America
Journal, Volume 64 (2000).



(13) Michael Sukop, Edmund Perfect, and Nigel R. A. Bird, "Water retention
of prefractal porous media generated with the homogeneous and
heterogeneous algorithms," WATER RESOURCES RESEARCH, VOL.
37, NO. 10 (2001), pp. 2631-2636.



(14) Kewen Li, "Theoretical Development of the Brooks-Corey Capillary
Pressure Model from Fractal Modeling of Porous Media," Society of
Petroleum Engineers (2004), SPE 89429.



(15) Kewen Li, "Generalized Capillary Pressure and Relative Permeability
Model Inferred from Fractal Characterization of Porous Media,"
Society of Petroleum Engineers (2004), SPE 89874.


(16) Ruben Dario Arizabalo, Klavdia Oleschko, Gabor Korvin, Gerardo
Ronquillo, and Esteban Cedillo-Pardo
, "Fractal and cumulative trace
analysis of wire-line logs from a well in a naturally fractured limestone
reservoir in the Gulf of Mexico", Geofisica Internacional (2004), Vol. 43,
Num. 3, pp 467-476.

 

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