Acoustic wave propagation and internal fields in rigid frame macroscopically inhomogeneous porous media

Journal of Applied Physics

Volumn 102, Issue 2, 2007, Pages

  De Ryck, L ^a   Lauriks, W ^a   Fellah, Z E A ^b   Wirgin, A ^b   Groby, J P ^c   Leclaire, P ^d   Depollier, C ^e  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b LABORATOIRE DE MÉCANIQUE ET D ACOUSTIQUE   (France)

^c CENTRE DE MATHÉMATIQUES APPLIQUÉES   (France)

^d UNIVERSITÉ DE BOURGOGNE   (France)

^e UNIVERSITÉ DU MAINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC FIELDS; ACOUSTIC WAVE PROPAGATION; ACOUSTIC WAVE REFLECTION; GREEN'S FUNCTION; PRESSURE EFFECTS;

INHOMOGENEOUS LAYERS; INHOMOGENEOUS POROUS MATERIALS; PRESSURE FIELDS; TRANSMISSION COEFFICIENTS; WAVE PROPAGATION MODELS;

POROUS MATERIALS;

EID: 34547577876     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2752135     Document Type: Article

References (47)

1. M. A. Biot, J. Acoust. Soc. Am. 0001-4966 10.1121/1.1908239 28, 168 (1956); M. A. Biot, J. Acoust. Soc. Am. 0001-4966 10.1121/1.1908241 28, 179 (1956).
2. M. A. Biot, J. Acoust. Soc. Am. 0001-4966 10.1121/1.1908239 28, 168 (1956); M. A. Biot, J. Acoust. Soc. Am. 0001-4966 10.1121/1.1908241 28, 179 (1956).
3. M. A. Biot, J. Appl. Phys. 0021-8979 10.1063/1.1728759 33, 1482 (1962).
4. N. Sebaa, Z. E. A. Fellah, M. Fellah, E. Ogam, A. Wirgin, F. G. Mitri, C. Depollier, and W. Lauriks, J. Acoust. Soc. Am. 0001-4966 10.1121/1.2335420 120, 1816 (2006).
5. C. Boutin, P. Royer, and J. -L. Auriault, Int. J. Solids Struct. 0020-7683 10.1016/S0020-7683(98)00091-2 35, 4709 (1998).
6. O. Matsuda and O. B. Wright, J. Opt. Soc. Am. B 19, 3028 (2002). 0740-3224
7. J. Lundstedt and M. Norgren, Prog. Electromagn. Res.. 43, 1 (2003).
8. L. M. Brekhovskikh and Y. P. Lysanov, Fundamentals of Ocean Acoustics (Springer, Berlin, 1991).
9. J. L. Buchanan, R. P. Gilbert, A. Wirgin, and Y. S. Xu, Marine Acoustics: Direct and Inverse Problems (SIAM, Philadelphia, 2004).
10. A. J. Robins, J. Acoust. Soc. Am. 0001-4966 10.1121/1.421274 103, 1337 (1998).
11. R. H. Stolt and B. Jacobs, Stanford Exploration Project Report. 24, 135 (1980).
12. J. G. Berryman and R. R. Greene, Geophys. J. 45, 213 (1980).
13. S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties (Springer, New York, 2002).
14. D. L. Johnson, J. Koplik, and R. Dashen, J. Fluid Mech. 0022-1120 10.1017/S0022112087000727 176, 379 (1987).
15. K. Attenborough, Phys. Rep. 0370-1573 10.1016/0370-1573(82)90131-4 82, 179 (1982).
16. J. F. Allard, Propagation of Sound in Porous Media: Modeling Sound Absorbing Materials (Chapman and Hall, London, 1993).
17. L. De Ryck, J. P. Groby, P. Leclaire, A. Wirgin, W. Lauriks, C. Depollier, and Z. E. A. Fellah, Appl. Phys. Lett. 0003-6951 10.1063/1.2431570 90, 181901 (2007).
18. Y. Champoux and J. F. Allard, J. Appl. Phys. 0021-8979 10.1063/1.349482 70, 1975 (1991).
19. P. Leclaire, W. Kelders, L. Lauriks, N. R. Brown, M. Melon, and B. Castagǹde, J. Appl. Phys. 0021-8979 10.1063/1.363817 80, 2009 (1996).
20. V. Tournat, V. Pagneux, D. Lafarge, and L. Jaouen, Phys. Rev. E 1063-651X 10.1103/PhysRevE.70.026609 70, 026609 (2004).
21. G. Kristensson, A. Karlsson, and S. Rikte, in Scattering, edited by, R. Pike, and, P. Sabatier, (Academic, San Diego, 2002), pp. 277-294.
22. L. Knopoff, Bull. Seismol. Soc. Am. 54, 431 (1964).
23. R. Hähner, in Scattering, edited by, R. Pike, and, P. Sabatier, (Academic, San Diego, 2002), pp. 75-94.
24. P. Sabatier, in Scattering, edited by, R. Pike, and, P. Sabatier, (Academic, San Diego, 2002), pp. 717-725.
25. R. G. Newton, in Scattering, edited by, R. Pike, and, P. Sabatier, (Academic, San Diego, 2002), pp. 686-701.
26. J. -P. Groby and C. Tsogka, in Mathematical and Numerical Aspects of Wave Propagation WAVES 2003, edited by, G. C. Cohen, and, E. Heikkola, (Springer, Berlin, 2003), pp. 911-915.
27. Z. Alterman, J. Phys. Earth 16, 113 (1968). 0022-3743
28. G. Kristensson and R. J. Krueger, J. Math. Phys. 0022-2488 10.1063/1.527083 27, 1667 (1986); G. Kristensson and R. J. Krueger, J. Math. Phys. 0022-2488 10.1063/1.527084 27, 1683 (1986).
29. G. Kristensson and R. J. Krueger, J. Math. Phys. 0022-2488 10.1063/1.527083 27, 1667 (1986); G. Kristensson and R. J. Krueger, J. Math. Phys. 0022-2488 10.1063/1.527084 27, 1683 (1986).
30. G. Kristensson and R. J. Krueger, J. Math. Phys. 0022-2488 10.1063/1.527667 28, 360 (1987).
31. G. Kristensson and R. J. Krueger, Inverse Probl. 0266-5611 10.1088/0266-5611/5/3/010 5, 375 (1989).
32. P. Sabatier, J. Math. Phys. 0022-2488 10.1063/1.533336 41, 4082 (2000).
33. J. P. Groby, L. De Ryck, P. Leclaire, A. Wirgin, W. Lauriks, R. P. Gilbert, and Y. S. Xu, Math. Methods Appl. Sci. 0170-4214 10.1002/mma.781 30, 91 (2007).
34. S. He, J. Math. Phys. 0022-2488 10.1063/1.530361 34, 4628 (1993).
35. R. J. Krueger and L. Ochs, Wave Motion 0165-2125 10.1016/0165-2125(89) 90024-3 11, 525 (1989).
36. S. R. Pride and J. G. Berryman, J. Mech. Phys. Solids 0022-5096 10.1016/S0022-5096(97)00043-4 46, 719 (1998).
37. J. M. Carcione, Wavefield in Real Media: Wave Propagation in Anisotropic, Anelastic and Porous Media (Pergamon, New York, 2001).
38. M. A. Biot and D. G. Willis, J. Appl. Mech. 36, 594 (1957). 0021-8936
39. H. Deresiewicz and R. Skalak, Bull. Seismol. Soc. Am. 53, 783 (1963).
40. T. Bourbí, O. Coussy, and B. Zinszner, Acoustics of Porous Media (Technip, Paris, 1987).
41. M. Fellah, Z. E. A. Fellah, and C. Depollier, Signal Process. 86, 2658 (2006). 0165-1684
42. d'Alembert, Opuscules Math́mathiques ou Ḿmoires sur Diff́rens Sujets de Ǵoḿtrie, de Ḿchanique, d'Optique, d'Astronomie (C.-A. Jombert, Paris, 1761-1780).
43. B. A. Auld, Acoustic Fields and Waves in Solids (Krieger, Malabar, FL, 1990).
44. O. Forslund and S. He, Prog. Electromagn. Res.. 19, 147 (1998).
45. C. Rorres, J. Bai, P. C. Pederson, and O. J. Tretiak, J. Acoust. Soc. Am. 0001-4966 10.1121/1.392771 78, 1851 (1985).
46. Z. E. A. Fellah, S. Berger, W. Lauriks, C. Depollier, P. Trompette, and J. Y. Chapelon, J. Appl. Phys. 0021-8979 10.1063/1.1572191 93, 9352 (2003).
47. J. P. Groby, Symposium on the Acoustics of Poro-Elastic Materials, (ENTPE, Lyon, France, 2005), pp. 53-60.