%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

W. G. Pritchard Lab Seminar: 3:30-4:30 PM, 104 McAllister Building

	             **Monday February 2, 2004**
	
Homogenization of two-phase flow: high contrast of phase permeability

Grigory Panasenko

Equipe d'Analyse Numerique
Universite Jean Monnet de St. Etienne, France

Abstract:
 
The steady state two-phase nonlinear flow equation is considered in the 
case when one of phases has low effective permeability in some periodic 
set, while on the complementary set it is high; the second phase has no 
contrast of permeabilities in different zones. The homogenization procedure 
gives a homogenized model with a macroscopic effective permeability of the 
second phase depending on the gradient and on the second order derivatives 
of the macroscopic pressure of the first phase. This effect cannot be 
obtained by classical (one small parameter) homogenization. This is joint 
work with G.Virnovsky.   

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%