Retrieval of Green's functions of elastic waves from thermal fluctuations of fluid-solid systems

Journal of the Acoustical Society of America

Volumn 125, Issue 4, 2009, Pages 1960-1970

  Godin, Oleg A ^a,b  

^a UNIVERSITY OF COLORADO   (United States)

^b EARTH SYSTEM RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC CHARACTERIZATIONS; AMBIENT NOISE; ANISOTROPIC SOLIDS; CROSS CORRELATIONS; FLOW REVERSALS; FLUCTUATION DISSIPATIONS; GENERAL INTEGRAL EXPRESSIONS; INHOMOGENEOUS FLOWS; INHOMOGENEOUS FLUIDS; LINEAR COMBINATIONS; LONG-RANGE CORRELATIONS; MECHANICAL SYSTEMS; RECIPROCAL TRANSMISSIONS; SOLID SYSTEMS; THERMAL EQUILIBRIUMS; THERMAL FLUCTUATIONS; THERMAL PHONONS; TWO POINTS; TWO-POINT CORRELATION FUNCTIONS;

DIFFERENTIAL EQUATIONS; FLUIDS;

GREEN'S FUNCTION;

ANISOTROPY; ARTICLE; CORRELATION ANALYSIS; FLUID FLOW; MATHEMATICAL COMPUTING; PHONON; PRESSURE; PRIORITY JOURNAL; VELOCITY; WAVEFORM;

EID: 64649095978     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3082101     Document Type: Article

References (68)

1. S. M. Rytov, " On thermal agitation in distributed systems.," Sov. Phys. Dokl. 1, 555-559 (1956). 0038-5689
2. M. L. Levin and S. M. Rytov, A Theory of Equilibrium Thermal Fluctuations in Electrodynamics (Nauka, Moscow, 1967) (in Russian).
3. S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskii, Principles of Statistical Radiophysics. 3: Elements of Random Fields (Springer, New York, 1989), Chaps..
4. J. F. Claerbout, " Synthesis of a layered medium from its acoustic transmission response.," Geophysics GPYSA7 0016-8033 10.1190/1.1439927 33, 264-269 (1968).
5. J. Rickett and J. Claerbout, " Acoustic daylight imaging via spectral factorization: Helioseismology and reservoir monitoring.," The Leading Edge LEEDFF 1070-485X 10.1190/1.1438420 18, 957-960 (1999).
6. K. Wapenaar, " Retrieving the elastodynamic Green's function of an arbitrary inhomogeneous medium by cross correlation.," Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.254301 93, 254301 (2004).
7. R. L. Weaver and O. I. Lobkis, " Ultrasonics without a source: Thermal fluctuation correlations at MHz frequencies.," Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.134301 87, 134301 (2001).
8. R. L. Weaver and O. I. Lobkis, " Elastic wave thermal fluctuations, ultrasonic waveforms by correlation of thermal phonons.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1564017 113, 2611-2621 (2003).
9. O. I. Lobkis and R. L. Weaver, " On the emergence of the Green's function in the correlations of a diffuse field.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1417528 110, 3011-3017 (2001).
10. M. Campillo and A. Paul, " Long-range correlations in the diffuse seismic coda.," Science SCIEAS 0036-8075 10.1126/science.1078551 299, 547-549 (2003).
11. N. M. Shapiro and M. Campillo, " Emergence of broadband Rayleigh waves from correlations of the ambient seismic noise.," Geophys. Res. Lett. GPRLAJ 0094-8276 10.1029/2004GL019491 31, L07614 (2004).
12. N. M. Shapiro, M. Campillo, L. Stehly, and M. Ritzwoller, " High resolution surface wave tomography from ambient seismic noise.," Science SCIEAS 0036-8075 10.1126/science.1108339 307, 1615-1618 (2005).
13. K. G. Sabra, P. Gerstoft, and P. Roux, " Extracting time-domain Green's function from ambient seismic noise.," Geophys. Res. Lett. GPRLAJ 0094-8276 10.1029/2004GL021862 32, L03310 (2005).
14. R. L. Weaver, " Information from seismic noise.," Science SCIEAS 0036-8075 10.1126/science.1109834 307, 1568-1569 (2005).
15. M. Campillo, " Phase and correlation in random' seismic fields and the reconstruction of the Green function.," Pure Appl. Geophys. PAGYAV 0033-4553 10.1007/s00024-005-0032-8 163, 475-502 (2006).
16. P. Goúdard, L. Stehly, F. Brenguier, M. Campillo, Y. Colin de Verdìre, E. Larose, L. Margerin, P. Roux, F. J. Sánchez-Sesma, N. M. Shapiro, and R. L. Weaver, " Cross-correlation of random fields: Mathematical approach and applications.," Geophys. Prospect. GPPRAR 0016-8025 10.1111/j.1365-2478.2007.00684.x 56, 375-393 (2008).
17. K. G. Sabra, P. Roux, P. Gerstoft, W. A. Kuperman, and M. C. Fehler, " Extracting coherent coda arrivals from cross-correlations of long period seismic waves during the Mount St. Helens 2004 eruption.," Geophys. Res. Lett. GPRLAJ 0094-8276 10.1029/2005GL025563 33, L06313 (2006).
18. Y. Yang, M. H. Ritzwoller, A. L. Levshin, and N. M. Shapiro, " Ambient noise Rayleigh wave tomography across Europe.," Geophys. J. Int. GJINEA 0956-540X 10.1111/j.1365-246X.2006.03203.x 168, 259-274 (2007).
19. P. Goúdard, C. Cornou, and P. Roux, " Phase-velocity dispersion curves and small-scale geophysics using noise correlation slantstack technique.," Geophys. J. Int. GJINEA 0956-540X 10.1111/j.1365-246X.2007. 03654.x 172, 971-981 (2008).
20. P. Goúdard, P. Roux, and M. Campillo, " Small-scale seismic inversion using surface waves extracted from noise cross correlation.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.2838251 123, EL26-EL31 (2008).
21. T. L. Duvall, Jr., S. M. Jefferies, J. W. Harvey, and M. A. Pomerantz, " Time-distance helioseismology.," Nature (London) NATUAS 0028-0836 10.1038/362430a0 362, 430-432 (1993).
22. P. M. Giles, T. L. Duvall, Jr., P. H. Scherrer, and R. S. Bogart, " A subsurface flow of material from the Sun's equator to its poles.," Nature (London) NATUAS 0028-0836 10.1038/36294 390, 52-54 (1997).
23. J. E. Rickett and J. F. Claerbout, " Calculation of the Sun's impulse response by multi-dimensional spectral factorization.," Sol. Phys. SLPHAX 0038-0938 10.1023/A:1005205406377 192, 203-210 (2000).
24. P. Roux, W. A. Kuperman, and the NPAL Group, " Extracting coherent wave fronts from acoustic ambient noise in the ocean.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1797754 116, 1995-2003 (2004).
25. K. G. Sabra, P. Roux, A. M. Thode, G. L. D'Spain, W. S. Hodgkiss, and W. A. Kuperman, " Using ocean ambient noise for array self-localization and self-synchronization.," IEEE J. Ocean. Eng. IJOEDY 0364-9059 10.1109/JOE.2005.850908 30, 338-347 (2005).
26. K. G. Sabra, P. Roux, and W. A. Kuperman, " Arrival-time structure of the time-averaged ambient noise cross-correlation function in an oceanic waveguide.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1835507 117, 164-174 (2005).
27. L. A. Brooks and P. Gerstoft, " Ocean acoustic interferometry., " J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.2723650 121, 3377-3385 (2007).
28. P. Gerstoft, W. S. Hodgkiss, M. Siderius, and C. H. Harrison, " Passive fathometer processing.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.2831930 123, 1297-1305 (2008).
29. C. H. Harrison, " Target detection and location with ambient noise.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.2872516 123, 1834-1837 (2008).
30. C. Farrar and G. James, " System identification from ambient vibration measurements on a bridge.," J. Sound Vib. JSVIAG 0022-460X 10.1006/jsvi.1997.0977 205, 1-18 (1997).
31. R. Snieder and E. Cafak, " Extracting the building response using seismic interferometry; theory and application to the Millikan Library in Pasadena, California.," Bull. Seismol. Soc. Am. BSSAAP 0037-1106 10.1785/0120050109 96, 586-598 (2006).
32. K. G. Sabra, E. S. Winkel, D. A. Bourgoyne, B. R. Elbing, S. L. Ceccio, M. Perlin, and D. R. Dowling, " On using cross-correlation of turbulent flow-induced ambient vibrations to estimate the structural impulse response. Application to structural health monitoring.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.2710463 121, 1987-2005 (2007).
33. K. G. Sabra, A. Srivastava, F. L. di Scalea, I. Bartoli, P. Rizzo, and S. Conti, " Structural health monitoring by extraction of coherent guided waves from diffuse fields.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.2820800 123, EL8-EL13 (2008).
34. V. I. Mirgorodskii, V. V. Gerasimov, and S. V. Peshin, " Experimental studies of passive correlation tomography of incoherent acoustic sources in the Megahertz frequency band.," Acoust. Phys. 52, 606-612 (2006). 1063-7710
35. K. G. Sabra, S. Conti, P. Roux, and W. A. Kuperman, " Passive in vivo elastography from skeletal muscle noise.," Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2737358 90, 194101 (2007).
36. A. Derode, E. Larose, M. Campillo, and M. Fink, " How to estimate the Green's function of a heterogeneous medium between two passive sensors? Application to acoustic waves.," Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1617373 83, 3054-3056 (2003).
37. A. Derode, E. Larose, M. Tanter, J. de Rosny, A. Tourin, M. Campillo, and M. Fink, " Recovering the Green's function from field-field correlations in an open scattering medium.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1570436 113, 2973-2976 (2003).
38. R. Snieder, " Extracting the Green's function from the correlation of coda waves: A derivation based on stationary phase.," Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.046610 69, 046610 (2004).
39. R. Snieder, " Extracting the Green's function of attenuating heterogeneous acoustic media from uncorrelated waves.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.2713673 121, 2637-2643 (2007).
40. O. A. Godin, " Recovering the acoustic Green's function from ambient noise cross-correlation in an inhomogeneous moving medium.," Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.054301 97, 054301 (2006).
41. R. L. Weaver and O. I. Lobkis, " Diffuse fields in open systems and the emergence of the Green's function.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1810232 116, 2731-2734 (2004).
42. K. Wapenaar, E. Slob, and R. Snieder, " Unified Green's function retrieval by cross-correlation.," Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.234301 97, 234301 (2006).
43. O. A. Godin, " Emergence of the acoustic Green's function from thermal noise.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.2430764 121, EL96-EL102 (2007).
44. R. L. Weaver and O. I. Lobkis, " Diffuse fields in ultrasonics and seismology.," Geophysics GPYSA7 0016-8033 10.1190/1.2212247 71, SI5-SI9 (2006).
45. K. Wapenaar, " Nonreciprocal Green's function retrieval by cross correlation.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.2208153 120, EL7-EL13 (2006).
46. In structural acoustics, determination of wave fields in coupled fluid-solid systems is referred to as fluid-structure and flow-structure problems, depending on the presence of a background flow, while elastic waves within the solid are called structure-born sound.
47. R. H. Mellen, " The thermal-noise limit in the detection of underwater acoustic signals.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1906924 24, 478-480 (1952).
48. T. Bowen, in Acoustical Imaging, edited by, J. P. Powers, (Plenum, New York, 1982), Vol. 11, pp. 549-561.
49. V. I. Passechnik, " Verification of the physical basis of acoustothermography.," Ultrasonics ULTRA3 0041-624X 10.1016/0041-624X(94) 90009-4 32, 293-299 (1994).
50. Yu. N. Barabanenkov and V. I. Pasechnik, " A study of correlation properties of thermal acoustic radiation.," Acoust. Phys. AOUSEK 1063-7710 41, 494-496 (1995).
51. E. V. Krotov, M. V. Zhadobov, A. M. Reyman, G. P. Volkov, and V. P. Zharov, " Detection of thermal acoustic radiation from laser-heated deep tissue.," Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1521245 81, 3918-3920 (2002).
52. V. A. Vilkov, E. V. Krotov, A. D. Mansfel'd, and A. M. Reiman, " Application of focusing arrays to the problems of acoustic brightness thermometry.," Acoust. Phys. AOUSEK 1063-7710 10.1134/1.1851630 51, 63-70 (2005).
53. E. E. Godik, Yu. V. Gulyaev, Yu. V. Mirgorodskii, and V. I. Pasechnik, in Acoustic Sensing and Probing: Fourth Course of the International School on Physical Acoustics (World Scientific, Singapore, 1991), pp. 77-95.
54. R. A. Kruger, D. R. Reinecke, and G. A. Kruger, " Thermoacoustic computed tomography-Technical considerations.," Med. Phys. MPHYA6 0094-2405 10.1118/1.598688 26, 1832-1837 (1999).
55. L. D. Landau and E. M. Lifshits, Statistical Physics, Course of Theoretical Physics Vol. 5, 3rd ed. (Reed, Oxford, 1980).
56. O. A. Godin, " Reciprocity and energy theorems for waves in a compressible inhomogeneous moving fluid.," Wave Motion WAMOD9 0165-2125 10.1016/S0165-2125(96)00037-6 25, 143-167 (1997).
57. L. M. Brekhovskikh and O. A. Godin, Acoustics of Layered Media. 2: Point Sources and Bounded Beams, 2nd ed. (Springer, New York, 1999), Chap..
58. O. A. Godin, " Reciprocity relations and wave energy conservation for inhomogeneous flow/anisotropic solid systems.," Acoust. Phys. 43, 688-693 (1997). 1063-7710
59. L. M. Brekhovskikh and O. A. Godin, Acoustics of Layered Media. 1: Plane and Quasi-Plane Waves, 2nd ed. (Springer, New York, 1998), Chap..
60. R. L. Weaver, " Ward identities and retrieval of Green's functions in the correlations of a diffuse field.," Wave Motion WAMOD9 0165-2125 10.1016/j.wavemoti.2007.07.007 45, 596-604 (2008).
61. K. Aki and P. Richards, Quantitative Seismology: Theory and Methods (Freeman, San Francisco, 1980), Chap..
62. S. M. Rytov, " Correlation theory of thermal fluctuations in an isotropic medium.," Sov. Phys. JETP 6, 130-140 (1958). 0038-5646
63. R. Snieder, K. Wapenaar, and U. Wegler, " Unified Green's function retrieval by cross-correlation; connection with energy principles.," Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.036103 75, 036103 (2007).
64. P. Roux, K. G. Sabra, and W. A. Kuperman, " Ambient noise cross correlation in free space: Theoretical approach.," J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.1830673 117, 79-84 (2005).
65. R. Snieder, " Recovering the Green's function of the diffusion equation from the response to a random forcing.," Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.046620 74, 046620 (2006).
66. H. B. Callen and T. A. Welton, " Irreversibility and generalized noise.," Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.83.34 83, 34-40 (1951).
67. W. Munk, P. Worcester, and C. Wunsch, Ocean Acoustic Tomography (Cambridge University Press, Cambridge, England, 1995), Chap..
68. O. A. Godin, D. Yu. Mikhin, and D. R. Palmer, " Monitoring ocean currents in the coastal zone.," Izv. Akad. Nauk, Fiz. Atmos. Okeana IAKOEG 1023-6317 36, 131-142 (2000).