The purpose of this work is to use the double-scale asymptotic expansion method of periodic medium homogenization to determine the macroscopic equations of a saturated porous medium under large transformations. The solid part of the porous medium is made up of a material, the constitutive law of which is incremental and can be of the plastic or incrementally non linear kind. The filling fluid is newtonian and incompressible. Both the solid and fluid parts are connected and the porous medium is saturated. The evolution is assumed slow enough as to ignore the accelerations as well in the solid as n the fluid, so the evolution of the solid is quasi static and the fluid flow is stationary.
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