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Elastic waves in fluid-saturated porous media

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Book cover Macroscopic Properties of Disordered Media

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References

  1. M. A. Biot, Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range, J. Acoust. Soc. Am. 28, 168–178 (1956).

    Google Scholar 

  2. M. A. Biot, Theory of propagation of elastic waves in a fluid-saturated porous solid. IT. Higher frequency range, J. Acoust. Soc. Am. 28, 179–191 (1956).

    Google Scholar 

  3. M. A. Biot, Mechanics of deformation and acoustic propagation in porous media, J. Appl. Phys. 33, 1482–1498 (1962).

    Google Scholar 

  4. T. J. Plona, Observation of a second bulk compressional wave in a porous medium at ultrasonic frequencies, Appl. Phys. Lett. 36, 259–261 (1980).

    Google Scholar 

  5. J. G. Berry-man, Confirmation of Biot's theory, Appl. Phys. Lett. 37, 382–384 (1980).

    Google Scholar 

  6. N. C. Dutta, Theoretical analysis of observed second bulk compressional wave in a fluid-saturated porous solid at ultrasonic frequencies, Appl. Phys. Lett. 37, 898–900 (1980).

    Google Scholar 

  7. J. Korringa, R. J. S. Brown, D. D. Thompson, and R. J. Runge, Self-consistent imbedding and the ellipsoidal model for porous rocks, J. Geophys. Res. 84, 5591–5598 (1979).

    Google Scholar 

  8. J. G. Berryman, Theory of elastic properties of composite materials, Appl. Phys. Lett. 35, 856–858 (1979).

    Google Scholar 

  9. J. G. Berryman, Long-wavelength propagation in composite elastic media I. Spherical inclusions, J. Acoust. Soc. Am. 68, 1809–1819 (1980).

    Google Scholar 

  10. J. G. Berryman, Long-wavelength propagation in composite elastic media II. Ellipsoidal inclusions, J. Acoust. Soc. Am. 68, 1820–1831 (1980).

    Google Scholar 

  11. R. J. S. Brown, Connection between formation factor for electrical resistivity and fluid-solid coupling factor in Biot's equations for acoustic waves in fluid-filled porous media, Geophysics 45, 1269–1275 (1980).

    Google Scholar 

  12. D. L. Johnson, Equivalence between fourth sound in liquid He II at low temperatures and the Biot slow wave in consolidated porous media, Appl. Phys. Lett. 37, 1065–1067 (1980).

    Google Scholar 

  13. P. N. Sen, C. Scala, and M. H. Cohen, A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads, Geophysics 46, 781–795 (1981).

    Google Scholar 

  14. R. D. Stoll and G. M. Bryan, Wave attenuation in saturated sediments, J. Acoust. Soc. Am. 47, 1440–1447 (1970).

    Google Scholar 

  15. R. D. Stoll, Acoustic waves in saturated sediments, in Physics of Sound in Marine Sediments, edited by L. Hampton (Plenum, New York, 1974), pp. 19–39

    Google Scholar 

  16. J. Korringa, On the Biot-Gassmann equations, to appear.

    Google Scholar 

  17. A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity (Dover, New York, 1944), pp. 43, 62, 102.

    Google Scholar 

  18. M. A. Biot and D. G. Willis, The elastic coefficients of the theory of consolidation, J. Appl. Mech. 24, 594–601 (1957).

    Google Scholar 

  19. J. Geertsma, The effect of fluid pressure decline on volumetric changes of porous rocks, Trans. AIMS 210, 331–340 (1957).

    Google Scholar 

  20. F. Gassmann, Über die elastizität poröser medien, Veirteljahrsschrift der Naturforschenden Gesellschaft in Zürich 96, 1–23 (1951).

    Google Scholar 

  21. R. J. S. Brown and J. Korringa, On the dependence of the elastic properties of a porous rock on the compressibility of the pore fluid, Geophysics 40, 608–616 (1975).

    Google Scholar 

  22. T. T. Wu, The effect of inclusion shape on the elastic moduli of a two-phase material, Int. J. Solids Structurers 2, 1–8 (1966).

    Google Scholar 

  23. D. M. Chase, Wave propagation in liquid-saturated open-cell foam, J. Acoust. Soc. Am. 65, 1–8 (1979).

    Google Scholar 

  24. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, London, 1959), p. 96.

    Google Scholar 

  25. T. S. Lundgren, Slow flow through stationary random beds and suspensious of spheres, J. Fluid Mech. 51, 273–299 (1972).

    Google Scholar 

  26. J. M. Hovem, Viscous attenuation of sound in suspensions and high-porosity marine sediments, J. Acoust. Soc. Am. 67, 1559–1563 (1980).

    Google Scholar 

  27. R. Burridge and J. B. Keller, Poroelasticity equations derived from microstructure, to appear.

    Google Scholar 

  28. J. M. Hovem and G. D. Ingram, Viscous attenuation of sound in saturated sand, J. Acoust. Soc. Am. 66, 1807–1812 (1979).

    Google Scholar 

  29. J. Geertsma and D. C. Smit, Some aspects of elastic wave propagation in fluid-saturated porous solids, Geophysics 26, 169–181 (1961).

    Google Scholar 

  30. T. J. Plona and D. L. Johnson, Experimental study of the two bulk compressional modes in water-saturated porous structures, in Proceedings of the November, 1980, IEEE Ultrasonics Symposium., to appear.

    Google Scholar 

  31. H. Deresiewicz and R. Skalak, On uniqueness in dynamic poroelasticity, Bull. Seismol. Soc. Am. 53, 783–788 (1963).

    Google Scholar 

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R. Burridge S. Childress G. Papanicolaou

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© 1982 Springer-Verlag

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Berryman, J.G. (1982). Elastic waves in fluid-saturated porous media. In: Burridge, R., Childress, S., Papanicolaou, G. (eds) Macroscopic Properties of Disordered Media. Lecture Notes in Physics, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11202-2_3

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  • DOI: https://doi.org/10.1007/3-540-11202-2_3

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