Abstract
This work is concerned with deriving macroscopic models for describing the propagation of shock waves in porous elastic media saturated by a viscous Newtonian fluid. This is performed using the results that are obtained by upscaling the porous medium behaviour from the pore scale description. This upscaling shows four different macroscopic models. Porous media are classified according to two separated categories that are related to the elastic and viscous properties of the solid and the fluid. In each category, shock waves are described by the large frequency limit behaviour. That yields a monophasic elastic model for category 1 media of low fluid viscosity or large solid rigidity and a monophasic viscoelastic model for large fluid viscosity or low solid rigidity for category 2 media.
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