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Dynamics of Saturated and Deformable Porous Media

Homogenization Theory and Determination of the Solid-Liquid Coupling Coefficients

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Physics of Finely Divided Matter

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 5))

Abstract

The main purpose of the paper is the description of the dynamics of an elastic deformable porous medium saturated by a newtonian viscous fluid.

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References

  1. ATKIN R.J., CRAINE R.E., J. Inst. Maths. Appl., 17, 153 (1976).

    Article  MATH  MathSciNet  Google Scholar 

  2. BIOT M.A., J. Acoust. Soc. Am., 28, 168 (1956).

    Article  ADS  MathSciNet  Google Scholar 

  3. SANCHEZ PALENCIA E., Non homogeneous media and vibration theory (Springer-Verlag, Berlin 1980).

    MATH  Google Scholar 

  4. LEVY T., Int. J. Eng. Sci., 17, 1005 (1979).

    Article  MATH  Google Scholar 

  5. AURIAULT J.L., Int. J. Eng. Sci., 18, 775 (1980).

    Article  MATH  Google Scholar 

  6. ENE H.J., SANCHEZ-PALENCIA E., J. de Mécanique, 14, 73 (1975).

    MATH  MathSciNet  Google Scholar 

  7. AURIAULT J.L., Homogenization — Application to porous saturated media. Summer School GDANSK 1983).

    Google Scholar 

  8. NECAS J., Les Méthodes directes en théorie des équations elliptiques (Masson, Paris 1967).

    MATH  Google Scholar 

  9. AYALA MILLIAN G., BREBBIA C.A., “Solution of wave propagation problems in a saturated medium” in variational methods in engineering” (Brebbia & Tottenham ed., London 1975).

    Google Scholar 

  10. BONNET G., Contribution à l’étude de milieux poreux saturés en régime dynamique: application à la reconnaissance par pompage harmonique et à la reconnaissance sismique. (thèse D. es. Sc., Montpellier 1985).

    Google Scholar 

  11. AURIAULT J.L., BORNE L., CHAMBON R., to be published in J. Acoust. Soc. Am. (1985).

    Google Scholar 

  12. JOHNSON D.L., PLONA J.J., SCALA C., PASIERB F., KOJIMA H., Phys. Rev. Lett., 49, 1840 (1982).

    Article  ADS  Google Scholar 

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© 1985 Springer-Verlag Berlin Heidelberg

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Bonnet, G., Auriault, JL. (1985). Dynamics of Saturated and Deformable Porous Media. In: Boccara, N., Daoud, M. (eds) Physics of Finely Divided Matter. Springer Proceedings in Physics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93301-1_37

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  • DOI: https://doi.org/10.1007/978-3-642-93301-1_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-93303-5

  • Online ISBN: 978-3-642-93301-1

  • eBook Packages: Springer Book Archive

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