General representations for wavefield modeling and inversion in geophysics

Geophysics

Volumn 72, Issue 5, 2007, Pages

  Wapenaar, Kees ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

GREEN'S FUNCTION; INTERFEROMETRY; MATHEMATICAL MODELS; MATRIX ALGEBRA; SEISMIC WAVES; VECTORS; WAVEFORM ANALYSIS;

RECIPROCITY THEOREMS; WAVE VECTORS; WAVEFIELD MONITORING;

GEOPHYSICS;

DATA INVERSION; GEOPHYSICAL METHOD; WAVE EQUATION; WAVE FIELD; WAVE MODELING;

EID: 34548532639     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.2750646     Document Type: Article

References (68)

1. Aki, K., and P. G. Richards, 1980, Quantitative seismology, vol. I: W. H. Freeman & Company.
2. Auld, B. A., 1973, Acoustic fields and waves in solids: Wiley-Interscience.
3. Berkhout, A. J., 1985, Seismic migration: Imaging of acoustic energy by wave field extrapolation: Elsevier Science Publ. Co., Inc.
4. Berkhout, A. J., and D. J. Verschuur, 2003, Transformation of multiples into primary reflections: 73rd Annual International Meeting, SEG, Expanded Abstracts, 1925-1928.
5. Biot, M. A., 1956, Theory of propagation of elastic waves in a fluid-saturated porous solid: I - Low frequency range: Journal of the Acoustical Society of America, 28, 168-178. jas JASMAN 0001-4966 10.1121/ 1.1908239
6. Bleistein, N., 1984, Mathematical methods for wave phenomena: Academic Press Inc.
7. 1987, On the imaging of reflectors in the earth: Geophysics, 52, 931-942. gpy GPYSA7 0016-8033 10.1190/1.1442363
8. Bleistein, N., and J. K. Cohen, 1982, Velocity inversion - Present status, new directions: Geophysics, 47, 1497-1511. gpy GPYSA7 0016-8033 10.1190/1.1441300
9. Bojarski, N. N., 1983, Generalized reaction principles and reciprocity theorems for the wave equations, and the relationship between the time-advanced and time-retarded fields: Journal of the Acoustical Society of America, 74, 281-285. jas JASMAN 0001-4966 10.1121/1.389721
10. Born, M., and E. Wolf, 1965, Principles of optics: Pergamon Press, Inc.
11. Campillo, M., and A. Paul, 2003, Long-range correlations in the diffuse seismic coda: Science, 299, 547-549. sci SCIEAS 0036-8075 10.1126/ science.1078551
12. Claerbout, J. F., 1968, Synthesis of a layered medium from its acoustic transmission response: Geophysics, 33, 264-269. gpy GPYSA7 0016-8033 10.1190/1.1439927
13. Cohen, J. K., and N. Bleistein, 1979, Velocity inversion procedure for acoustic waves: Geophysics, 44, 1077-1087. gpy GPYSA7 0016-8033 10.1190/ 1.1440996
14. de Hoop, A. T., 1958, Representation theorems for the displacement in an elastic solid and their applications to elastodynamic diffraction theory: Ph.D. thesis, Delft University of Technology.
15. 1966, An elastodynamic reciprocity theorem for linear, viscoelastic media: Applied Scientific Research, 16, 39-45. 9sc JNNOAR 1533-4880
16. 1995, Handbook of radiation and scattering of waves: Academic Press, Inc.
17. de Hoop, M. V., and A. T. de Hoop, 2000, Wave-field reciprocity and optimization in remote sensing: Proceedings of the Royal Society of London, Series A, 456, 641-682. prz PRLAAZ 1364-5021 10.1098/ rspa.2000.0534
18. Deresiewicz, H., and R. Skalak, 1963, On uniqueness in dynamic poroelasticity: Bulletin of the Seismological Society of America, 53, 783-788. bss BSSAAP 0037-1106
19. Derode, A., E. Larose, M. Campillo, and M. Fink, 2003, How to estimate the Green's function of a heterogeneous medium between two passive sensors? Application to acoustic waves: Applied Physics Letters, 83, 3054-3056. apl APPLAB 0003-6951 10.1063/1.1617373
20. Draganov, D., K. Wapenaar, W. Mulder, J. Singer, and A. Verdel, 2007, Retrieval of reflections from seismic background-noise measurements: Geophysical Research Letters, 34, L04305-1-L04305-4. gpr GPRLAJ 0094-8276 10.1029/2006GL028735
21. Druzhinin, A., H. Pedersen, M. Campillo, and W. Kim, 1998, Elastic Kirchhoff-Helmholtz synthetic seismograms: Pure and Applied Geophysics, 151, 17-45. pae PAGYAV 0033-4553 10.1007/s000240050103
22. Fokkema, J. T., and P. M. van den Berg, 1993, Seismic applications of acoustic reciprocity: Elsevier Science Publ. Co., Inc.
23. Frazer, L. N., and M. K. Sen, 1985, Kirchhoff-Helmholtz reflection seismograms in a laterally inhomogeneous multi-layered elastic medium, I: Theory: Geophysical Journal of the Royal Astronomical Society, 80, 121-147. gjr GEOJAN 0016-8009
24. Gangi, A. F., 1970, A derivation of the seismic representation theorem using seismic reciprocity: Journal of Geophysical Research, 75, 2088-2095. jgr JGREA2 0148-0227
25. 2000, Constitutive equations and reciprocity: Geophysical Journal International, 143, 311-318. gji GJINEA 0956-540X 10.1046/ j.1365-246X.2000.01259.x
26. Gurevich, B., and M. Schoenberg, 1999, Interface conditions for Biot's equations of poroelasticity: Journal of the Acoustical Society of America, 105, 2585-2589. jas JASMAN 0001-4966 10.1121/1.426874
27. Hill, N. R., and P. C. Wuenschel, 1985, Numerical modeling of refraction arrivals in complex areas: Geophysics, 50, 90-98. gpy GPYSA7 0016-8033 10.1190/1.1441840
28. Kaufman, A. A., and G. V. Keller, 1983, Frequency and transient soundings: Methods in Geochemistry and Geophysics no. 16, Elsevier Science Publ. Co., Inc.
29. Liu, E., J. A. Hudson, S. Crampin, W. D. Rizer, and J. H. Queen, 1995, Seismic properties of a general fracture, in H. P. Rossmanith, ed., Mechanics of jointed and faulted rock: A. A. Balkema Publishers, 673-678.
30. Liu, E., J. A. Hudson, and T. Pointer, 2000, Equivalent medium representations of fractured rock: Journal of Geophysical Research-Solid Earth, 105, 2981-3000. 9ye JGREA2 0148-0227 10.1029/1999JB900306
31. Miller, D., M. Oristaglio, and G. Beylkin, 1987, A new slant on seismic imaging: Migration and integral geometry: Geophysics, 52, 943-964. gpy GPYSA7 0016-8033 10.1190/1.1442364
32. Mittet, R., R. Sollie, and K. Hokstad, 1995, Pre-stack depth migration with compensation for absorption and dispersion: Geophysics, 60, 1485-1494. gpy GPYSA7 0016-8033 10.1190/1.1443882
33. Morse, P. M., and H. Feshbach, 1953, Methods of theoretical physics, vol. I: McGraw-Hill Book Co. Inc.
34. Nakagawa, S., K. T. Nihei, and L. R. Myer, 2000, Shear-induced conversion of seismic waves across single fractures: International Journal of Rock Mechanics and Mining Sciences, 37, 203-218. irm IJRMA2 0148-9062 10.1016/S1365-1609(99)00101-X
35. Oristaglio, M. L., 1989, An inverse scattering formula that uses all the data: Inverse Problems, 5, 1097-1105. inp INPEEY 0266-5611 10.1088/ 0266-5611/5/6/015
36. Pao, Y. H., and V. Varatharajulu, 1976, Huygens' principle, radiation conditions, and integral formulations for the scattering of elastic waves: Journal of the Acoustical Society of America, 59, 1361-1371. jas JASMAN 0001-4966 10.1121/1.381022
37. Porter, R. P., 1970, Diffraction-limited, scalar image formation with holograms of arbitrary shape: Journal of the Optical Society of America, 60, 1051-1059. jox JOSAAH 0030-3941
38. Pride, S., 1994, Governing equations for the coupled electromagnetics and acoustics of porous media: Physical Review B, 50, 15678-15696. prb PRBMDO 0163-1829 10.1103/PhysRevB.50.15678
39. Pyrak-Nolte, L. J., L. R. Myer, and N. G. W. Cook, 1990, Transmission of seismic waves across single natural fractures: Journal of Geophysical Research, 95, 8617-8638. jgr JGREA2 0148-0227
40. Raz, S., 1981, Three-dimensional velocity profile inversion from finite-offset scattering data: Geophysics, 46, 837-842. gpy GPYSA7 0016-8033 10.1190/1.1441221
41. Sabra, K. G., P. Gerstoft, P. Roux, W. A. Kuperman, and M. C. Fehler, 2005, Surface wave tomography from microseisms in Southern California: Geophysical Research Letters, 32, L14311-1-L14311-4. gpy GPYSA7 0016-8033
42. Schneider, W. A., 1978, Integral formulation for migration in two and three dimensions: Geophysics, 43, 49-76. gpy GPYSA7 0016-8033 10.1190/ 1.1440828
43. Schoenberg, M., 1980, Elastic wave behaviour across linear slip interfaces: Journal of the Acoustical Society of America, 68, 1516-1521. jas JASMAN 0001-4966 10.1121/1.385077
44. Schuster, G. T., 2001, Theory of daylight/interferometric imaging: Tutorial: 63rd Annual Conference and Exhibition, EAGE, Extended Abstracts, A32-1-A32-4.
45. Schuster, G. T., J. Yu, J. Sheng, and J. Rickett, 2004, Interferometric/ daylight seismic imaging: Geophysical Journal International, 157, 838-852. gji GJINEA 0956-540X 10.1111/j.1365-246X.2004.02251.x
46. Slob, E., and K. Wapenaar, 2007, Electromagnetic Green's functions retrieval by cross-correlation and cross-convolution in media with losses: Geophysical Research Letters, 34, L05307-1-L05307-5. gpr GPRLAJ 0094-8276 10.1029/2006GL029097
47. Slob, E., D. Draganov, and K. Wapenaar, 2007, Interferometric electromagnetic Green's functions representations using propagation invariants: Geophysical Journal International, 169, 60-80. gji GJINEA 0956-540X 10.1111/j.1365-246X.2006.03296.x
48. Snieder, R., 1990, The role of the Born approximation in nonlinear inversion: Inverse Problems, 6, 247-266. inp INPEEY 0266-5611 10.1088/ 0266-5611/6/2/008
49. 2006, Retrieving the Green's function of the diffusion equation from the response to a random forcing: Physical Review E, 74, 046620-1-046620-4. pre PLEEE8 1063-651X 10.1103/PhysRevE.74.046620
50. Snieder, R., K. Wapenaar, and U. Wegler, 2007, Unified Green's function retrieval by cross-correlation: Connection with energy principles: Physical Review E, 75, 036103-1-036103-14. pre PLEEE8 1063-651X 10.1103/ PhysRevE.75.036103
51. Tarantola, A., 1984, Linearized inversion of seismic reflection data: Geophysical Prospecting, 32, 998-1015. 8uc GPPRAR 0016-8025 10.1111/ j.1365-2478.1984.tb00751.x
52. Ten Kroode, F., 2002, Prediction of internal multiples: Wave Motion, 35, 315-338. wvm WAMOD9 0165-2125 10.1016/S0165-2125(01)00109-3
53. Tygel, M., J. Schleicher, L. T. Santos, and P. Hubral, 2000, An asymptotic inverse to the Kirchhoff-Helmholtz integral: Inverse Problems, 16, 425-445. inp INPEEY 0266-5611 10.1088/0266-5611/16/2/311
54. van Borselen, R. G., J. T. Fokkema, and P. M. van den Berg, 1996, Surface-related multiple elimination: Geophysics, 61, 202-210. gpy GPYSA7 0016-8033 10.1190/1.1443940
55. van Manen, D.-J., A. Curtis, and J. O. A. Robertsson, 2006, Interferometric modeling of wave propagation in inhomogeneous elastic media using time reversal and reciprocity: Geophysics, 71, SI41-SI60. gpy GPYSA7 0016-8033 10.1190/1.2213218
56. van Manen, D.-J., J. O. A. Robertsson, and A. Curtis, 2005, Modeling of wave propagation in inhomogeneous media: Physical Review Letters, 94, 164301-1-164301-4. prl PRLTAO 0031-9007 10.1103/PhysRevLett.94.164301
57. Verschuur, D. J., A. J. Berkhout, and C. P. A. Wapenaar, 1992, Adaptive surface-related multiple elimination: Geophysics, 57, 1166-1177. gpy GPYSA7 0016-8033 10.1190/1.1443330
58. Wapenaar, K., 2006, Green's function retrieval by cross-correlation in case of one-sided illumination: Geophysical Research Letters, 33, L19304-1-L19304-6. gpr GPRLAJ 0094-8276 10.1029/2006GL027747
59. Wapenaar, C. P. A., and A. J. Berkhout, 1989, Elastic wave field extrapolation: Elsevier Science Publ. Co., Inc.
60. Wapenaar, K., D. Draganov, J. Thorbecke, and J. Fokkema, 2002, Theory of acoustic daylight imaging revisited: 72nd Annual International Meeting, SEG, Expanded Abstracts, 2269-2272.
61. Wapenaar, K., and J. Fokkema, 2004, Reciprocity theorems for diffusion, flow and waves: Journal of Applied Mechanics, 71, 145-150. jah JAMCAV 0021-8936 10.1115/1.1636792
62. Wapenaar, K., E. Slob, and J. Fokkema, 2004, Reciprocity and power balance for piecewise continuous media with imperfect interfaces: Journal of Geophysical Research -Solid Earth, 109, B10301-1-B10301-9. 9ye JGREA2 0148-0227 10.1029/2004JB003002
63. Wapenaar, K., E. Slob, and R. Snieder, 2006, Unified Green's function retrieval by cross correlation: Physical Review Letters, 97, 234301-1-234301-4. prl PRLTAO 0031-9007 10.1103/PhysRevLett.97.234301
64. Weaver, R. L., and O. I. Lobkis, 2001, Ultrasonics without a source: Thermal fluctuation correlations at MHz frequencies: Physical Review Letters, 87, 134301-1-134301-4. prl PRLTAO 0031-9007 10.1103/ PhysRevLett.87.134301
65. Weglein, A. B., F. V. Araújo, P. M. Carvalho, R. H. Stolt, K. H. Matson, R. T. Coates, D. Corrigan, D. J. Foster, S. A. Shaw, and H. Zhang, 2003, Inverse scattering series and seismic exploration: Inverse Problems, 19, R27-R83. inp INPEEY 0266-5611 10.1088/0266-5611/19/6/R01
66. Wenzel, F., K. J. Stenzel, and U. Zimmerman, 1990, Wave propagation in laterally heterogeneous layered media: Geophysical Journal International, 103, 675-684. gji GJINEA 0956-540X 10.1111/ j.1365-246X.1990.tb05679.x
67. Wu, R. S., and M. Toksöz, 1987, Diffraction tomography and multisource holography applied to seismic imaging: Geophysics, 52, 11-25. gpy GPYSA7 0016-8033 10.1190/1.1442237
68. Zhang, J., and K. Wapenaar, 2002, Wavefield extrapolation and prestack depth migration in anelastic inhomogeneous media: Geophysical Prospecting, 50, 629-643. 8uc GPPRAR 0016-8025 10.1046/ j.1365-2478.2002.00342.x