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Sound pulse broadening in stressed granular media
Phys. Rev. E 91, 022205 – Published 17 February, 2015
DOI: https://doi.org/10.1103/PhysRevE.91.022205
Abstract
The pulse broadening and decay of coherent sound waves propagating in disordered granular media are investigated. We find that the pulse width of these compressional waves is broadened when the disorder is increased by mixing the beads made of different materials. To identify the responsible mechanism for the pulse broadening, we also perform the acoustic attenuation measurement by spectral analysis and the numerical simulation of pulsed sound wave propagation along one-dimensional disordered elastic chains. The qualitative agreement between experiment and simulation reveals a dominant mechanism by scattering attenuation at the high-frequency range, which is consistent with theoretical models of sound wave scattering in strongly random media via a correlation length.
Article Text
References (28)
- H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996).
- X. Jia, C. Caroli, and B. Velicky, Phys. Rev. Lett. 82, 1863 (1999).
- X. Jia, J. Laurent, Y. Khidas, and V. Langlois, Chin. Sci. Bull. 54, 4327 (2009).
- P. J. Digby, J. Appl. Mech. 48, 803 (1981).
- B. Velický and C. Caroli, Phys. Rev. E 65, 021307 (2002).
- H. A. Makse, N. Gland, D. L. Johnson, and L. Schwartz, Phys. Rev. E 70, 061302 (2004).
- S. Wildenberg, M. van Hecke, and X. Jia, Europhys. Lett. 101, 14004 (2013).
- M. Wyart, L. E. Silbert, S. R. Nagel, and T. A. Witten, Phys. Rev. E 72, 051306 (2005).
- C. Song, P. Wang, and H. A. Makse, Nature (London) 453, 629 (2008).
- I. Agnolin, J.-N. Roux, P. Maassad, X. Jia, and P. Mills, in Powders & Grains 2005, edited by R. García Rojo, H. Herrmann, and S. McNamara (Balkema, Rotterdam, 2005), p. 313.
- M. van Hecke, J. Phys.: Condens. Matter 22, 033101 (2010).
- M. Arroyo, D. Muir Wood, and P. D. Greening, Géotechnique 53, 337 (2003).
- E. T. Owens and K. E. Daniels, Soft Matter 9, 1214 (2013).
- E. Somfai, J. N. Roux, J. H. Snoeijer, M. van Hecke, and W. van Saarloos, Phys. Rev. E 72, 021301 (2005).
- O. Mouraille, W. A. Mulder, and S. Luding, J. Stat. Mech. (2006) P07023.
- J. O'Donovan, C. O'Sullivan, and G. Marketos, Granular Matter 14, 733 (2012).
- G. S. Grest, S. R. Nagel, and A. Rahman, Phys. Rev. Lett. 49, 1271 (1982).
- S. M. Rytov, Y. A. Kravtsov, and V. I. Tatarski, Elements of Random Fields, Principles of Statistical Radiophysics No. 4 (Springer-Verlag, Berlin, 1989).
- J.-P. Fouque, J. Garnier, G. Papanicolaou, and K. Solna, Wave Propagation and Time Reversal in Randomly Layered Media (Springer, New York, 2007), Chap. 8.2.3.
- J. H. Page, H. P. Schriemer, A. E. Bailey, and D. A. Weitz, Phys. Rev. E 52, 3106 (1995).
- X. Jia, Phys. Rev. Lett. 93, 154303 (2004).
- J. P. Weight, J. Acoust. Soc. Am. 81, 815 (1987).
- B. Audoin and J. Roux, Ultrasonics 34, 25 (1996).
- H. A. Makse, D. L. Johnson, and L. M. Schwartz, Phys. Rev. Lett. 84, 4160 (2000).
- Y. Yang, Ph.D. thesis, Université Paris-Est Marne-la-Vallée, 2013 (in French).
- L. A. Chernov, Wave Propagation in a Random Medium (McGraw-Hill, New York, 1960).
- T. Brunet, X. Jia, and P. Johnson, Geophys. Res. Lett. 35, 19308 (2008).
- Y.-H. Wang and J. C. Santamarina, Granular Matter 9, 365 (2007).