Theory of compressional and transverse wave propagation in consolidated porous media

Journal of the Acoustical Society of America

Volumn 106, Issue 2, 1999, Pages 575-581

  Buckingham, Michael J ^a,b  

^a UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

^b UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC DISPERSION; ATTENUATION; EQUATIONS OF MOTION; GRAIN BOUNDARIES; LINEAR EQUATIONS; MICROCRACKS; POROUS MATERIALS; ROCKS; SHEAR WAVES; STRESS RELAXATION; WAVE EQUATIONS;

COMPRESSIONAL WAVES; KRONIG-KRAMERS RELATIONS; TRANSVERSE WAVES;

ACOUSTIC WAVE TRANSMISSION;

ARTICLE; ATTENUATION; DENSITY; HYSTERESIS; MATHEMATICAL ANALYSIS; MOLECULAR INTERACTION; POROSITY; PRIORITY JOURNAL; SHEAR STRESS; SOUND TRANSMISSION;

EID: 0032776391     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.427026     Document Type: Article

References (32)

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).
2. M. A. Biot, "Theory of propagation of elastic waves in a fluid-saturated porous solid: II. Higher frequency range," J. Acoust. Soc. Am. 28, 179-191 (1956).
3. M. N. Toksöz and D. H. Johnston (eds.), "Seismic Wave Attenuation," Geophysics Reprint Series, No. 2 (Society of Exploration Geophysicists, Tulsa, OK, 1981), p. 459.
4. 7 cycles per second," J. Geophys. Res. 66, 581-588 (1961).
5. D. H. Johnston, M. N. Toksöz, and A. Timur, "Attenuation of seismic waves in dry and saturated rocks. II. Mechanisms," Geophysics 44, 691-711 (1979).
6. M. R. Wyllie, A. R. Gregory, and L. W. Gardner, "Elastic wave velocities in heterogeneous and porous media," Geophysics 21, 41-70 (1956).
7. F. J. McDonal, F. A. Angona, R. L. Mills, R. L. Sengbush, R. G. Van Nostrand, and J. E. White, "Attenuation of shear and compressional waves in Pierre shale," Geophysics 23, 421-439 (1958).
8. K. Winkler, A. Nur, and M. Gladwin, "Friction and seismic attenuation in rocks," Nature (London) 277, 528-531 (1979).
9. M. J. Buckingham, "Theory of acoustic attenuation, dispersion and pulse propagation in granular materials including marine sediments," J. Acoust. Soc. Am. 102, 2579-2596 (1997).
10. M. J. Buckingham, "Theory of compressional and shear waves in fluid-like marine sediments," J. Acoust. Soc. Am. 103, 288-299 (1998).
11. M. J. Buckingham, "On the phase speed and attenuation of an interface wave in an unconsolidated marine sediment," J. Acoust. Soc. Am. (in press).
12. R. Kronig, "On the theory of dispersion of X-rays," J. Opt. Soc. Am. 12, 547-557 (1926).
13. H. A. Kramers, "La diffusion de la lumiere par les atomes," in Atti Congr. Intern. Fisica, pp. 545-557 (1927).
14. T. J. Plona, "Observation of a second bulk compressional wave in a porous medium at ultrasonic frequencies," Appl. Phys. Lett. 36, 259-261 (1980).
15. D. L. Johnson and T. J. Plona, "Acoustic slow waves and the consolidation transition," J. Acoust. Soc. Am. 72, 556-565 (1982).
16. R. S. Carmichael, CRC Practical Handbook of Physical Properties of Rocks and Minerals (CRC Press, Boca Raton, 1989), p. 741.
17. P. M. Morse and H. Feshbach, Methods of Theoretical Physics: Part I (McGraw-Hill, New York, 1953).
18. L. Peselnick and I. Zietz, "Internal friction of fine grained limestones at ultrasonic frequencies," Geophysics 24, 285-296 (1959).
19. P. G. Nutting, "A study of elastic viscous deformation," Proc. Am. Soc. Testing Mat. 21, 1162-1171 (1921).
20. R. Bachdahl and L. E. Nielsen, "The application of Nutting's equation to the viscoelastic behavior of certain polymeric systems," J. Appl. Phys. 22, 1344-1349 (1951).
21. D. E. Weston, "On the frequency independence of the acoustic loss factor in earth materials," Geophys. J. R. Astron. Soc. 8, 269-271 (1963).
22. A. Erdélyi, Tables of Integral Transforms, Volume 1 (McGraw-Hill, New York, 1954), p. 391.
23. M. N. Toksöz, D. H. Johnston, and A. Timur, "Attenuation of seismic waves in dry and saturated rocks, I. Laboratory measurements," Geophysics 44, 681-690 (1979).
24. M. O'Donnell, E. T. Jaynes, and J. G. Miller, "Kramers-Kronig relationship between ultrasonic attenuation and phase velocity," J. Acoust. Soc. Am. 69, 696-701 (1981).
25. J. E. White, Underground Sound: Application of Seismic Waves (Elsevier, Amsterdam, 1983), p. 253
26. F. Gassmann, "Über die elastizität poröser medien," Vierteljahrsscher. Naturforsch. Ges. Zürich 96, 1-23 (1951).
27. E. L. Hamilton, "Elastic properties of marine sediments," J. Geophys. Res. 76, 579-604 (1971).
28. W. F. Murphy, III, "Effects of partial water saturation on attenuation in Massilon sandstone and Vycor porous glass," J. Acoust. Soc. Am. 71, 1458-1468 (1982).
29. J. B. Walsh, "Seismic wave attenuation in rock due to friction," J. Geophys. Res. 71, 2591-2599 (1966).
30. D. H. Johnston, "Attenuation: A state-of-the-art summary," in Seismic Wave Attenuation (Society of Exploration Geophysicists, Tulsa, OK, 1981), pp. 123-135.
31. B. I. Pandit and M. S. King, "The variation of elastic wave velocities and quality factor of a sandstone with moisture content," Can. J. Earth Sciences 16, 2187-2195 (1979).
32. -1) and velocity in sedimentary rocks," J. Geophys. Res. 85, 5190-5198 (1980).