Poroelastic Media

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 6)


In this chapter, we will investigate the acoustic macroscopic behavior of saturated porous media. The macroscopic quasi-static behavior will be deduced classically by neglecting inertial terms. The material of the porous matrix is elastic and the saturating fluid is viscous, Newtonian, and incompressible. The local structure is assumed periodic with a period Y of characteristic length 1 The characteristic length L at the macroscopic scale can be associated with the wave length λ. For simplicity, we will use L = λ2/π.


Porous Medium Strouhal Number Local Description Macroscopic Model Fracture Medium 
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© Springer Science+Business Media New York 1997

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