Seismic interferometry of scattered surface waves in attenuative media

Geophysical Journal International

Volumn 178, Issue 1, 2009, Pages 419-446

  Halliday, David ^a,b   Curtis, Andrew ^a,b  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b Edinburgh Collaborative of Subsurface Science and Engineering   (United Kingdom)

Author keywords

Interferometry; Surface waves and free oscillations; Theoretical seismology; Wave scattering and diffraction

Indexed keywords

GREEN FUNCTION; INTERFEROMETRY; SEISMIC WAVE; SEISMOLOGY; WAVE DIFFRACTION; WAVE SCATTERING;

EID: 67650187799     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2009.04153.x     Document Type: Article

References (77)

1. Aki, K. & Richards, P.G., 2002. Quantitative Seismology, University Science Books, CA.
2. Bakulin, A. & Calvert, R., 2004. Virtual Source: New method for imaging and 4D below complex overburden, in Proceedings of the 74th Annual International Meeting, SEG, Expanded Abstracts, pp. 2477-2480.
3. Bakulin, A. & Calvert, R., 2006. The virtual source method: Theory and case study, Geophysics, 71, SI139-SI150.
4. Blonk, B. & Herman, G.C., 1996. Removal of scattered surface waves using multicomponent seismic data, Geophysics, 61, 1483-1488.
5. Blonk, B., Herman, G.C. & Drijkoningen, G.G., 1995. An elastodynamic inverse scattering method for removing scattered surface waves from field data, Geophysics, 60, 1897-1905.
6. Brandenburg, A. & Snieder, R., 1989. The attenuation of surface waves due to scattering, Geophys. J., 8, 183-194.
7. Campillo, M. & Paul, A., 2003. Long-range correlations in the diffuse seismic coda, Science 299, 547-549.
8. Campman, X.H. & Riyanti, C.D., 2007. Non-linear inversion of scattered seismic surface waves, Geophys. J. Int., 171, 1118-1125.
9. Campman, X.H., van Wijk, K., Scales, J.A. & Herman, G.C., 2005. Imaging and suppressing near-receiver scattered surface waves, Geophysics, 70, V21-V29.
10. Campman, X.H., Herman, G.C. & Muyzert, E., 2006. Suppressing near-receiver scattered waves from seismic land data, Geophysics, 71.
11. Claerbout, J.F., 1968. Synthesis of a layered medium from its acoustic transmission response, Geophysics, 33, 264-269.
12. Curtis, A., Gerstoft, P., Sato, H., Snieder, R. & Wapenaar, K., 2006. Seismic interferometry-turning noise into signal, Leading Edge, 25, 1082-1092.
13. de Hoop, A.T., 1995. Handbook of Radiation and Scattering of Waves, Academic Press, San Diego.
14. Dong, S., He, R. & Schuster, G., 2006. Interferometric prediction and least squares subtraction of surface waves, in Proceedings of the 76th Annual International Meeting, SEG, Expanded Abstracts, pp. 2783-2786.
15. Draganov, D., Wapenaar, K. & Thorbecke, J., 2004. Passive seismic imaging in the presence of white noise sources, Leading Edge, 23, 889-892.
16. Draganov, D., Ghose, R., Ruigrok, E., Thorbecke, J. & Wapenaar, K., 2008. Effect of intrinsic losses on seismic interferometry, in Proceedings of the 70th EAGE Conference and Exhibtion, Rome.
17. Ernst, F., Herman, G.C. & Blonk, B., 2002a. Reduction of near-surface scattering effects in seismic data, Leading Edge, 17, 759.
18. Ernst, F., Herman, G.C. & Ditzel, A., 2002b. Removal of scattered guided waves from seismic data, Geophysics, 67, 1240-1248.
19. Foldy, L.L., 1945. The multiple scattering of waves; I: General theory of isotropic scattering by randomly distributed scatterers, Phys. Rev., 67, 107-119.
20. Gertstoft, P., Sabra, K.G., Roux, P., Kuperman, W.A. & Fehler, M.C., 2006. Green's functions extraction and surface-wave tomography from microseisms in southern California, Geophysics, 71, SI23-SI31.
21. Gosselet, A. & Singh, S.C., 2007. Using symmetry breaking in time-reversal mirror for attenuation determination, SEG Exp. Abs., 26, 1639-1643.
22. Groenenboom, J. & Snieder, R., 1995. Attenuation, dispersion and anisotropy by multiple scattering of transmitted waves through distributions of scatterers, J. acoust. Soc. Am., 98, 3482-3492.
23. Halliday, D.F. & Curtis, A., 2008. Seismic interferometry, surface waves, and source distribution, Geophys. J. Int., 175, 1067-1087.
24. Halliday, D.F. & Curtis, A., 2009. A generalized optical theorem for surface waves and layered media, Phys. Rev. E., in press.
25. Halliday, D.F., Curtis, A. & Kragh, E., 2008. Seismic surface waves in a suburban environment-active and passive interferometric methods, Leading Edge, 27, 210-218.
26. Hargreaves, N.D. & Calvert, A.J., 1991. Inverse- Q filtering by Fourier transform, Geophysics, 56, 519-527.
27. Herman, G.C. & Perkins, C., 2006. Predictive removal of scattered noise, Geophysics, 71, V41-V49.
28. Herman, G.C., Milligan, P.A., Huggins, R.J. & Rector, J.W., 2000. Imaging shallow objects and heterogeneities with scattered guided waves, Geophysics, 65, 247-252.
29. Kaslilar, A., 2007. Inverse scattering of surface waves: Imaging of near-surface heterogeneities, Geophys. J. Int., 171, 352-367.
30. Levander, A., 1990. Seismic scattering near the earth's surface, Pure appl. Geophys, 132.
31. Lobkis, O.I. & Weaver, R.L., 2001. Ultrasonics without a source: thermal fluctuation correlations at MHz frequencies, Phys. Rev. Lett., 87.
32. Malcolm, A.E., Scales, J.A. & van Tiggelen, B.A., 2004. Extracting the Green function from diffuse, equipartitioned waves, Phys. Rev. E, 70, 015601
33. Marquering, H., Dahlen, F.A. & Nolet, G., 1999. Three-dimensional sensitivity kernels for finite-frequency traveltimes: The banana-doughnut paradox, Geophys. J. Int., 137, 805-815.
34. Mehta, K., Bakulin, A., Sheiman, J., Calvert, R. & Snieder, R., 2007. Improving the virtual source method by wavefield separation, Geophysics, 72, V79-V86.
35. Mehta, K., Sheiman, J., Snieder, R. & Calvert, R., 2008. Strenghtening the virtual-source method for time-lapse monitoring, Geophysics, 73, S73-S80.
36. Meier, T., Lebedev, G., Nolet, G. & Dahlen, F.A., 1997. Diffraction tomography using multimode surface waves, J. geophys. Res., 102, 8255-8267.
37. Morse, P.F. & Hildebrandt, G.F., 1989. Ground-roll suppression by the stack array, Geophysics, 54, 290-301.
38. Moschetti, M.P., Ritzwoller, M. & Shapiro, N., 2007. Surface wave tomography of the Western United States from ambient seismic noise: Rayleigh wave group velocity maps, Geochem., Geophys., Geosys, 8, Q08010.
39. Özbek, A., 2000a. Adaptive beamforming with generalized linear constraints, SEG Exp. Abs., 19, 2081-2084.
40. Özbek, A., 2000b. Multichannel adaptive interference cancelling, SEG Exp. Abs., 19, 2088-2091.
41. Pedersen, H.A., Krüger, F. & the SVEKALAPKO Seismic Tomography Working Group, 2007. Influence of the seismic noise characteristics on noise correlations in the Baltic shield, Geophys. J. Int., 168, 197-210.
42. Regone, C.J., 1998. Suppression of coherent noise in 3-D seismology, Leading Edge, 17, 1584-1589.
43. Rhie, J. & Romanowicz, B., 2004. Excitation of Earth's continuous free oscillations by atmosphere-ocean-seafloor coupling, Nature, 431, 552-556.
44. Rhie, J. & Romanowicz, B., 2006. A study of the relation between ocean storms and the Earth's hum, Geochem., Geophys., Geosys, 7, Q10004.
45. Ritzwoller, M., Shapiro, N., Barmin, M.P. & Levshin, A.L., 2002. Global surface wave diffraction tomography, J. geophys. Res., 107, 2335.
46. Ruigrok, E., Draganov, D. & Wapenaar, K., 2008. Global-scale seismic interferometry: Theory and numerical examples, Geophys. Prospect., 56, 395-417.
47. Sabra, K.G., Roux, P. & Kuperman, W.A., 2005. Arrival-time structure of the time-averaged ambient noise cross-correlation function in an oceanic waveguide, J. acoust. Soc. Am., 117, 164-174.
48. Shapiro, N. & Campillo, M., 2004. Emergence of broadband Rayleigh waves from correlations of the ambient seismic noise, Geophys. Res. Lett., 31, L07614.
49. Shapiro, N., Campillo, M., Stehly, L. & Ritzwoller, M., 2005. High-resolution surface-wave tomography from ambient seismic noise, Science, 307, 1615-1617.
50. Slob, E. & Wapenaar, K., 2007. Electromagnetic Green's functions retrieval by cross-correlation and cross-convolution in media with losses, Geophys. Res. Lett., 34, L05307-05301-L05307-05305.
51. Slob, E., Draganov, D. & Wapenaar, K., 2007. Interferometric electromagnetic Green's functions representations using propagation invariants, Geophys. J. Int., 169, 60-80.
52. Snieder, R., 1986. 3D Linearized scattering of surface waves and a formalism for surface wave holography, Geophys. J. R. astr. Soc., 84, 581-605.
53. Snieder, R., 1988. The optical theorem for surface waves and the relation with surface wave attenuation, Geophys. J., 95, 293-302.
54. Snieder, R., 2002. Scattering of surface waves, in Scattering and Inverse Scattering in Pure and Applied Science, pp. 562-577, eds Pike, R. & Sabatier, P., Academic Press, San Diego.
55. Snieder, R., 2004a. A Guided Tour of Mathematical Methods for the Physical Sciences, 2nd edn, Cambridge University Press, Cambridge.
56. Snieder, R., 2004b. Extracting the Green's function from the correlation of coda waves: A derivation based on stationary phase, Phys. Rev. E, 69, 046610.
57. Snieder, R., 2007. Extracting the Green's function of attenuating heterogeneous media from uncorrelated waves, J. acoust. Soc. Am., 121, 2637-2643.
58. Snieder, R. & Nolet, G., 1987. Linearized scattering of surface waves on a spherical Earth, J. Geophys., 61, 55-63.
59. Snieder, R., Wapenaar, K. & Larner, K., 2006. Spurious multiples in seismic interferometry of primaries, Geophysics, 71, SI111-SI124.
60. Snieder, R., van Wijk, K., Haney, M. & Calvert, R., 2008. The cancellation of spurious arrivals in Green's function extraction and the generalized optical theorem, Phys. Rev. E, 78, 036606.
61. Spetzler, J. & Snieder, R., 2001. The effect of small-scale heterogeneity on the arrival time of waves, Geophys. J. Int., 145, 786-796.
62. Spetzler, J., Trampert, J. & Snieder, R., 2002. The effect of scattering in surface wave tomography, Geophys. J. Int., 149, 755-767.
63. Stehly, L., Campillo, M. & Shapiro, N., 2006. A study of the seismic noise from its long-range correlation properties, J. Geophys. Res., 111, B10306.
64. Steiner, B., Saenger, E.H. & Schmalholz, S.M., 2008. Time reverse modeling of low-frequency mircotremors: Application to hydrocarbon reservoir localization, Geophys. Res. Lett., 35, L03307.
65. van Manen, D.-J., Robertsson, J.O.A. & Curtis, A., 2005. Modeling of wave propagation in inhomogeneous media, Phys. Rev. Lett., 94, 164 301-164 304.
66. van Manen, D.-J., Curtis, A. & Robertsson, J.O.A., 2006. Interferometric modeling of wave propagation in inhomogeneous elastic media using time reversal and reciprocity, Geophysics, 71, SI47-SI60.
67. Vasconcelos, I.R., 2007. Interferometry in perturbed media, PhD thesis. Colorado School of Mines.
68. Vasconcelos, I.R. & Snieder, R., 2008a. Interferometry by deconvolution, part 2: Theory for elastic waves and application to drill-bit seismic imaging, Geophysics, 73, S129-S141.
69. Vasconcelos, I.R. & Snieder, R., 2008b. Interferometry by deconvolution, part 1: Theory for acoustic waves and numerical examples, Geophysics, 73, S115-S128.
70. Wang, Y., 2002. A stable and efficient approach of inverse- Q filtering, Geophysics, 67.
71. Wapenaar, K., 2004. Retrieving the elastodynamic Green's function of an arbitrary inhomogeneous medium by cross correlation, Phys. Rev. Lett., 93, 254 301-254 304.
72. Wapenaar, K., 2007. General representations for wavefield modeling and inversion in geophysics, Geophysics, 72, SM5-SM17.
73. Wapenaar, K. & Fokkema, J., 2006. Green's function representations for seismic interferometry, Geophysics, 71, SI33-SI44.
74. Weaver, R.L. & Lobkis, O.I., 2001. On the emergence of the Green's function in the correlations of a diffuse field, J. acoust. Soc. Am., 110, 3011-3017.
75. Wapenaar, K., Thorbecke, J. & Draganov, D., 2004. Relations between reflection and transmission responses of three-dimensional inhomogeneous media, Geophys. J. Int., 156, 179-194.
76. Wapenaar, K., Slob, E. & Snieder, R., 2008. Seismic and electromagnetic controlled-source interferometry in dissipative media, Geophys. Prospect., 56, 419-434.
77. Yang, Y., Ritzwoller, M., Levshin, A.L. & Shapiro, N., 2007. Ambient noise Rayleigh wave tomography across Europe, Geophys. J. Int., 168, 259-274.