Acoustics of Rotating Deformable Saturated Porous Media

Author: AURIAULT, JEAN-LOUIS

Source: Transport in Porous Media, Volume 61, Number 2, November 2005 , pp. 235-237(3)

Publisher: Springer

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Abstract:

We investigate wave propagation in elastic porous media which are saturated by incompressible viscous Newtonian fluids when the porous media are in rotation with respect to a Galilean frame. The model is obtained by upscaling the flow at the pore scale. We use the method of multiple scale expansions which gives rigorously the macroscopic behaviour without any prerequisite on the form of the macroscopic equations. For Kibel numbers $$\cal{O}$$ A A(1), the acoustic filtration law resembles a Darcy’s law, but with a conductivity which depends on the wave frequency and on the angular velocity. The bulk momentum balance shows new inertial terms which account for the convective and Coriolis accelerations. Three dispersive waves are pointed out. An investigation in the inertial flow regime shows that the two pseudo-dilatational waves have a cut-off frequency.

Keywords: acoustics; rotating porous media; filtration law; wave propogation in porous media; homogenisation

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s11242-004-8214-x

Affiliations: 1: Laboratoire Sols Solides Structures (3S), UJF, INPG, CNRS, Domaine Universitaire, BP 53, 38041, GRENOBLE Cedex, France, Email: jean-louis.auriault@hmg.inpg.fr

Publication date: 2005-11-01