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In this paper we consider the PDE describing the uid ow in a porous medium, fo- cusing on the solution's dependence upon the choice of the saturation curve and the hydraulic conductivity. Basically, we consider two dierent saturation curves (say 1 and 2) and two dierent hydraulic conductivities ( K1 and K2) which are both \close" in the L 1 loc -norm. Then we nd estimates to prove a constitutive stability for the solutions of the corresponding problems with the same boundary and initial conditions.

Continuous dependence on the constitutive functions for a class of problems describing fluid flow in porous media