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

Abstract

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.

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© 1997 Springer Science+Business Media New York

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Auriault, JL. (1997). Poroelastic Media. In: Hornung, U. (eds) Homogenization and Porous Media. Interdisciplinary Applied Mathematics, vol 6. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1920-0_8

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  • DOI: https://doi.org/10.1007/978-1-4612-1920-0_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7339-4

  • Online ISBN: 978-1-4612-1920-0

  • eBook Packages: Springer Book Archive

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