Abstract
This paper investigates the rheological behaviour effects of non-Newtonian fluids on the evolution in time of the shape of a moving interface separating two immiscible and incompressible fluids during the gravitational segregation process in a porous medium. A rheological model of Bingham type was used to illustrate these effects. An approximate analytical solution has been developed for determining the shape of the moving interface in function of time, assuming that its initial shape, i.e. at t = 0 , is known. The pressure and velocity distributions ahead and behind the interface have also been obtained. The conditions in which the separation of the two phases, oil and water, may be complete are discussed and implications of the presence of a threshold gradient in gravitational segregation mechanism in porous medium are shown.
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