Attenuation and dispersion of antiplane shear waves due to scattering by many two-dimensional cavities

Journal of the Acoustical Society of America

Volumn 125, Issue 6, 2009, Pages 3589-3596

  Kawahara, Jun ^a   Ohno, Taichi ^a,c   Yomogida, Kiyoshi ^b  

^a IBARAKI UNIVERSITY   (Japan)

^b HOKKAIDO UNIVERSITY   (Japan)

^c OYO RMS Corp   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIPLANE SHEAR WAVE; ERROR TOLERANCE; THEORETICAL PREDICTION; TWO-DIMENSIONAL CAVITIES;

SHEAR WAVES; TWO DIMENSIONAL;

FORECASTING;

ARTICLE; COMPUTER SIMULATION; FOLDY THEORY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SHEAR FLOW; SOUND TRANSMISSION; THEORY;

EID: 67649090667     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3124779     Document Type: Article

References (41)

1. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).
2. S. M. Nair, D. K. Hsu, and J. H. Rose, " Porosity estimation using the frequency dependence of the ultrasonic attenuation.," J. Nondestruct. Eval. 8, 13-26 (1989). 10.1007/BF00566584
3. H. Sato and M. C. Fehler, Seismic Wave Propagation and Scattering in the Heterogeneous Earth (Springer-Verlag, New York, 1998).
4. L. L. Foldy, " The multiple scattering of waves. I. General theory of isotropic scattering by randomly distributed scatterers.," Phys. Rev. 67, 107-119 (1945). 10.1103/PhysRev.67.107
5. M. Lax, " Multiple scattering of waves.," Rev. Mod. Phys. 23, 287-310 (1951). 10.1103/RevModPhys.23.287
6. M. Lax, " Multiple scattering of waves. II. The effective field in dense systems.," Phys. Rev. 85, 621-629 (1952). 10.1103/PhysRev.85.621
7. P. C. Waterman and R. Truell, " Multiple scattering of waves.," J. Math. Phys. 2, 512-537 (1961). 10.1063/1.1703737
8. P. Lloyd and M. V. Berry, " Wave propagation through an assembly of spheres IV. Relation between different multiple scattering theories.," Proc. Phys. Soc. London 91, 678-688 (1967). 10.1088/0370-1328/91/3/321
9. V. Twersky, " Acoustic bulk parameters in distributions of pair-correlated scatterers.," J. Acoust. Soc. Am. 64, 1710-1719 (1978). 10.1121/1.382150 (Pubitemid 9415522)
10. L. Tsang, J. A. Kong, and T. Habashy, " Multiple scattering of acoustic waves by random distribution of discrete spherical scatterers with the quasicrystalline and Percus-Yevick approximation.," J. Acoust. Soc. Am. 71, 552-558 (1982). 10.1121/1.387524 (Pubitemid 12518171)
11. V. K. Varadan, Y. Ma, and V. V. Varadan, " Scattering and attenuation of elastic waves in random media.," Pure Appl. Geophys. 131, 577-603 (1989). 10.1007/BF00876265
12. F. V. Meulen, G. Feuillard, O. B. Matar, and F. Levassort, " Theoretical and experimental study of the influence of the particle size distribution on acoustic wave properties of strong inhomogeneous media.," J. Acoust. Soc. Am. 110, 2301-2307 (2001). 10.1121/1.1404435
13. Z. Ye and L. Ding, " Acoustic dispersion and attenuation relations in bubbly mixture.," J. Acoust. Soc. Am. 98, 1629-1636 (1995). 10.1121/1.413429
14. F. S. Henyey, " Corrections to Foldy's effective medium theory for propagation in bubble clouds and other collections of very small scatterers.," J. Acoust. Soc. Am. 105, 2149-2154 (1999). 10.1121/1.426819
15. R.-B. Yang, " A dynamic generalized self-consistent model for wave propagation in particulate composites.," J. Appl. Mech. 70, 575-582 (2003). 10.1115/1.1576806
16. D. G. Aggelis, S. V. Tsinopoulos, and D. Polyzos, " An iterative effective medium approximation (IEMA) for wave dispersion and attenuation predictions in particulate composites, suspensions and emulsions.," J. Acoust. Soc. Am. 116, 3443-3452 (2004). 10.1121/1.1810273
17. J. Mobley, K. R. Waters, C. S. Hall, and J. N. Marsh, " Measurements and predictions of the phase velocity and attenuation coefficient in suspensions of elastic microsphere.," J. Acoust. Soc. Am. 106, 652-659 (1999). 10.1121/1.427139
18. D. J. McClements, " Comparison of multiple scattering theories with experimental measurements in emulsions.," J. Acoust. Soc. Am. 91, 849-853 (1992). 10.1121/1.402490
19. A. K. Holmes, R. E. Challis, and D. J. Wedlock, " A wide bandwidth study of ultrasound velocity and attenuation in suspensions: Comparison of theory with experimental measurements.," J. Colloid Interface Sci. 156, 261-268 (1993). 10.1006/jcis.1993.1109
20. A. K. Hipp, G. Storti, and M. Morbidelli, " On multiple-particle effects in the acoustic characterization of colloidal dispersions.," J. Phys. D: Appl. Phys. 32, 568-576 (1999). 10.1088/0022-3727/32/5/011
21. C. Layman, N. S. Murthy, R.-B. Yang, and J. Wu, " The interaction of ultrasound with particulate composites.," J. Acoust. Soc. Am. 119, 1449-1456 (2006). 10.1121/1.2161450
22. A. Richter, F. Babick, and S. Ripperger, " Polydisperse particle size characterization by ultrasonic attenuation spectroscopy for systems of diverse acoustic contrast in the large particle limit.," J. Acoust. Soc. Am. 118, 1394-1405 (2005). 10.1121/1.2000773
23. M.-F. Poujol-Pfefer, " Application of an homogenization model to the acoustical propagation in inhomogeneous media.," J. Sound Vib. 184, 665-679 (1995). 10.1006/jsvi.1995.0340
24. R. Benites, K. Aki, and K. Yomogida, " Multiple scattering of SH waves in 2-D media with many cavities.," Pure Appl. Geophys. 138, 353-390 (1992). 10.1007/BF00876878 (Pubitemid 23386881)
25. S. Biwa, S. Yamamoto, F. Kobayashi, and N. Ohno, " Computational multiple scattering analysis for shear wave propagation in unidirectional composites.," Int. J. Solids Struct. 41, 435-457 (2004). 10.1016/j.ijsolstr.2003.09.015
26. T.-K. Hong and B. L. N. Kennett, " Scattering of elastic waves in media with a random distribution of fluid-filled cavities: Theory and numerical modelling.," Geophys. J. Int. 159, 961-977 (2004). 10.1111/j.1365-246X. 2004.02401.x
27. Y. Suzuki, J. Kawahara, T. Okamoto, and K. Miyashita, " Simulations of SH wave scattering due to cracks by the 2-D finite difference method.," Earth, Planets Space 58, 555-567 (2006). (Pubitemid 43978128)
28. C. M. Linton and P. A. Martin, " Multiple scattering by random configurations of circular cylinders: Second-order corrections for the effective wavenumber.," J. Acoust. Soc. Am. 117, 3413-3423 (2005). 10.1121/1.1904270
29. Y. C. Angel and C. Arist́gui, " Analysis of sound propagation in a fluid through a screen of scatterers.," J. Acoust. Soc. Am. 118, 72-82 (2005). 10.1121/1.1931088
30. C. M. Linton and P. A. Martin, " Multiple scattering by multiple spheres: A new proof of the Lloyd-Berry formula for the effective wavenumber.," SIAM J. Appl. Math. 66, 1649-1668 (2006). 10.1137/050636401
31. Y.-H. Pao and C.-C. Mow, Diffraction of Elastic Waves and Dynamic Stress Concentrations (Crane Russak, New York, 1973).
32. L. G. Copley, " Integral equation method for radiation from vibrating bodies.," J. Acoust. Soc. Am. 41, 807-816 (1967). 10.1121/1.1910410
33. F. J. Sánchez-Sesma and E. Rosenblueth, " Ground motion at canyons of arbitrary shape under incident SH waves.," Earthquake Eng. Struct. Dyn. 7, 441-450 (1979). 10.1002/eqe.4290070505 (Pubitemid 10411852)
34. M. Dravinski, " Ground motion amplification due to elastic inclusions in a half-space.," Earthquake Eng. Struct. Dyn. 11, 313-335 (1983). 10.1002/eqe.4290110303
35. G. D. Manolis and D. E. Beskos, Boundary Element Methods in Elastodynamics (Unwin Hyman, London, 1988).
36. R. Benites and K. Aki, " Boundary integral-Gaussian beam method for seismic wave scattering: SH waves in two-dimensional media.," J. Acoust. Soc. Am. 86, 375-386 (1989). 10.1121/1.398299
37. T. Pointer, E. Liu, and J. A. Hudson, " Numerical modelling of seismic waves scattered by hydrofractures: Application of the indirect boundary element method.," Geophys. J. Int. 135, 289-303 (1998). 10.1046/j.1365-246X.1998.00644.x (Pubitemid 29033203)
38. Wave Analysis and Boundary Element Methods, edited by, S. Kobayashi, (Kyoto University Press, Kyoto, 2000), in Japanese.
39. J. M. Martin and S. M. Flatt́, " Intensity images and statistics from numerical simulation of wave propagation in 3-D random media.," Appl. Opt. 27, 2111-2126 (1988). 10.1364/AO.27.002111
40. Z. Ye, " Acoustic dispersion and attenuation in many spherical scatterer systems and the Kramers-Kronig relations.," J. Acoust. Soc. Am. 101, 3299-3305 (1997). 10.1121/1.418311
41. P. Wessel and W. H. F. Smith, " New, improved version of generic mapping tools released.," EOS Trans. Am. Geophys. Union 79, 579 (1998). 10.1029/98EO00426