STATIONARY FILTRATION IN A FRACTAL
INHOMOGENEOUS POROUS MEDIUM

B. A. Suleimanov,a É. M. Abbasov,a 
and A. O. Éfendievab 

UDC 532.546

The case of one-dimensional stationary filtration in an 
inhomogeneous porous medium with a fractal structure has been investigated. 
The fluid was assumed to be volumetrically incompressible. It has 
been shown that the resistance of the medium grows with increase in 
the fractal dimension <$Eitalic{ alpha }>, whereas the flow rate of 
the fluid sharply drops.

a "Gipromorneftegaz" State Research and Production Institute, 
88 Zardabi Ave., Baku, Az1012, Azerbaijan Republic; b Institute 
of Mathematics and Mechanics, National Academy of Sciences of 
the Azerbaijan Republic, Baku, Azerbaijan Republic. Translated 
from Inzhenerno-Fizicheskii Zhurnal, Vol. 78, No. 4, pp. 194-196, 
July-August, 2005. Original article submitted April 21, 2004; 
revision submitted October 12, 2004.