Wave propagation, scattering and imaging using dual-domain one-way and one-return propagators

Pure and Applied Geophysics

Volumn 160, Issue 3-4, 2003, Pages 509-539

  Wu, Ru Shan ^a  

^a University of California   (United States)

Author keywords

Depth migration; Modeling; One way propagation; Scattering; Seismic imaging; Wave propagation

Indexed keywords

ALGORITHM; IMAGING METHOD; SEISMIC WAVE; WAVE PROPAGATION; WAVE SCATTERING;

EID: 0037344268     PISSN: 00334553     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00012548     Document Type: Article

References (89)

1. AKI, K. (1973), Scattering of P Waves under the Montana Lasa, J. Geophys. Res. 78, 1334-1346.
2. AKI, K. and RICHARDS, P., Quantitative Seismology, vol. II (W.H. Freeman, San Francisco 1980).
3. BERMAN, D. H., WRIGHT, E. B., and BAER, R. N. (1989), An Optimal PE-type Wave Equation, J. Acoust. Soc. Am. 86, 228-233.
4. BOOKER, H. G. and GORDON, W. E. (1950), A Theory of Radio Scattering in the Troposphere, Proc. Inst. Radio Eng. 38, 401.
5. BRAMLEY, E. N. (1954), The Diffraction of Waves by Irregular Refracting Medium, Proc. R. Soc. A225, 515.
6. BRAMLEY, E. N. (1977), The Accuracy of Computing Ionospheric Radio-wave Scintillation by the Thin-phase-screen Approximation, J. Atmos. and Terres. Phys. 39, 367-373.
7. BROWN, W. P. (1973), High Energy Laser Propagation, Hughes Research Laboratory, Rept. on contract N00014-B-C-0460.
8. CHANDRASEKHAR, S. (1952), Mon. Not. R. Ast. Soc. 112, 475.
9. CHERNOV, L. A., Wave Propagation in a Random Medium (McGraw-Hill, New York 1960).
10. CLAERBOUT, J. F. (1970), Coarse Grid Calculations of Waves in Inhomogeneous Media with Applications to Delineation of Complicated Seismic Structure, Geophys. 35, 407-418.
11. CLAERBOUT, J. F., Fundamentals of Geophysical Data Processing (McGraw-Hill, 1976).
12. CLAERBOUT, J. F., Imaging the Earth's Interior (Blackwell Scientific Publications, 1985).
13. DE HOOP, M., LE ROUSSEAU, J., and WU, R.-S. (2000), Generalization of the Phase-screen Approximation for the Scattering of Acoustic Waves, Wave Motion 31, 43-70.
14. DE WOLF, D. A. (1971), Electromagnetic Reflection from an Extended Turbulent Medium: Cumulative Forward-scatter Single-backscatter Approximation, IEEE Trans. Ant. and Prop. AP-19, 254-262.
15. DE WOLF, D. A. (1985), Renormalization of EM fields in Application to Large-angle Scattering from Randomly Continuous Media and Sparse Particle Distribution, IEEE Trans. Ant. and Prop. AP-33, 608-615.
16. DEVANEY, A. J. (1982), A Filtered Back Propagation Algorithm for Diffraction Tomography, Ultrasonic Img. 4, 336-350.
17. DEVANEY, A. J. (1984), Geophysical Diffraction Tomography, Trans. IEEE GE-22, 3-13.
18. FEHLER, M., SATO, H., and HUANG, L.-J. (2000), Envelope Broadening of Outgoing Waves in 2-D Random Media: A Comparison between the Markov Approximation and Numerical Simulations, Bull. Seismol. Soc. Am., in press.
19. FEIT, M. D. and FLECK, J. A., Jr. (1978), Light Propagation in Graded-index Optical Fibers, Appl. Opt. 17, 3990-3998.
20. FISHMAN, L. and McCOY, J. J. (1984), Derivation and Application of Extended Parabolic Wave Theories II. Path Intergral Representations, J. Math. Phys. 25, 297-308.
21. FLATTÉ, S. M., Sound Transmission through a Fluctuating Ocean (Cambridge University Press, 1979).
22. FLATTÉ, S. M. and TAPPERT, F. D. (1975), Calculation of the Effect of Internal Waves on Oceanic Sound Transmission, J. Acoust. Soc. Am. 58, 1151-1159.
23. FLATTÉ, and WU (1988), Small-scale structure in the lithosphere and asthenosphere deduced from arrival-time and amplitude fluctuations at NORSAR, J. Geophys. Res. 93, 6601-6614.
24. FLECK, J. A., Jr., MORRIS, J. R., and FEIT, M. D. (1976), Time-dependent Propagation of High Energy Laser Beams through the Atmosphere, Appl. Phys. 10, 129-160.
25. GUBERNATIS, J. E., DOMANY, E., and KRUMHABSL, J. A. (1977a), Formal Aspects of the Theory of the Scattering of Ultrasound by Flaws in Elastic Materials, J. Appl. Phys. 48, 2804-2811.
26. GUBERNATIS, J. E., DOMANY, E., KRUMHABSL, J. A., and HUBERMAN, M. (1977b), The Born Approximation in the Theory of the Scattering of Elastic Waves by Flaws, J. Appl. Phys. 48, 2812-2819.
27. HARDIN, R. H. and TAPPERT, F. D. (1973), Applications of the Split-step Fourier Method to the Numerical Solution of Nonlinear and Variable Coefficient Wave Equation, SIAM Rev. 15, 423.
28. HERMANN, J. and BRADLEY, L. C. (1971), Numerical Calculation of Light Propagation, MIT Lincoln Laboratory, Cambridge, Mass., Rept. LTP-10.
29. HUANG, L.-J. and FEHLER, M. (1998), Accuracy Analysis of the Split-step Fourier Propagator: Implications for Seismic Modeling and Migration, Bull. Seismol. Soc. Am. 88, 18-29.
30. HUANG, L.-J. and FEHLER, M. (2000a), Quasi-born Fourier Migration, Geophys. J. Int. 140, 521-534.
31. HUANG, L.-J. and FEHLER, M. (2000b), Globally Optimized Fourier Finite-difference Method, Geophys., submitted.
32. HUANG, L.-J., FEHLER, M., ROBERTS, P., and BURCH, C. C. (1999a), Extended Local Rytov Fourier Migration Method, Geophysics 64, 1535-1545.
33. HUANG, L.-J., FEHLER, M., and WU, R.-S. (1999b), Extended Local Born Fourier Migration Method, Geophys. 64, 1524-1534.
34. HUANG, L.-J. and WU R.-S. (1996), Prestack Depth Migration with Acoustic Pseudo-screen Propagators, Mathematical Methods in Geophysical Imaging IV, SPIE 2822, 40-51.
35. ISHIMARU, A., Wave Propagation and Scattering in Random Media, vol. II (Academic Press, New York 1978).
36. JIN, S. and WU, R.-S. (1999a), Depth Migration with a Windowed Screen Propagator, J. Seismic Exploration 8, 27-38.
37. JIN, S. and WU, R.-S. (1999b), Common-offset Pseudo-screen Depth Migration, Expanded Abstracts, SEG 69th Annual Meeting, 1516-1519.
38. JIN, S., MOSHER, C. C., and WU, R.-S. (2000), 3-D Prestack Wave Equation Common-offset Pseudo-screen Depth Migration, Expanded abstracts, SEG 70th Annual Meeting, 842-845.
39. JIN, S., WU, R.-S., and PENG, C. (1998), Prestack Depth Migration Using a Hybrid Pseudo-screen Propagator, Expanded Abstracts, SEG 68th Annual Meeting, 1819-1822.
40. JIN, S., WU, R.-S., and PENG, C. (1999), Seismic Depth Migration with Screen Propagators, Comput. Geosci. 3, 321-335.
41. LIU, Y. B. and WU, R.-S. (1994), A Comparison between Phase-screen, Finite Difference and Eigenfunction Expansion Calculations for Scalar Waves in Inhomogeneous Media. Bull. Seismol. Soc. Am. 84, 1154-1168.
42. KNEPP, D. L. (1983), Multiple Phase-screen Calculation of the Temporal Behavior of Stochastic Waves, Proc. IEEE 71, 722-727.
43. LE ROUSSEAU, J. H. and DE HOOP, M. V. (2000). Scalar Generalized-screen Algorithms in Transversely Isotropic Media with a Vertical Symmetry Axis, Geophysics, submitted.
44. LEE, D., MASON, I. M., and JACKSON, G. M. (1991), Split-step Fourier Shot-record Migration with Deconvolution Imaging, Geophysics 56, 1786-1793.
45. MARTIN, J. M. and FLATTÉ, S. M. (1988), Intensity Images and Statistics from Numerical Simulation of Wave Propagation in 3-D Random Media, Appl. Opt. 17, 2111-2126.
46. MCDANIEL, S. T. (1975), Parabolic Approximations for Underwater Sound Propagation, J. Acoust. Soc. Am. 58, 1178-1185.
47. MERCIER, R. P. (1962), Diffraction by a Screen Causing Large Random Phase Fluctuations. Proc. Cambridge Phil. Soc. 58, 382-400.
48. MILES, J. W. (1960), Scattering of Elastic Waves by Small Inhomogeneities. Geophys. 25, 643-648.
49. MORSE, P.M. and FESHBACH, H., Methods of Theoretical Physics (McGraw-Hill Book Comp., New York 1953).
50. RINO, C. L. (1978), Iterative Methods for Treating Multiple Scattering of Radio Waves, J. Atmos. Terr. Phys. 40, 1101-1118.
51. RINO, C. L. (1982), On the Application of Phase-screen Models to the Interpretation of Ionospheric Scintillation Data, Radio Sci. 17, 855-867.
52. RINO, C. L. (1988), A Spectral-domain Method for Multiple Scattering in Continuous Randomly Irregular Media, IEEE Tr. Anten. and Prop. 36, 1114-1128.
53. RISTOW, D. and RUHL, T. (1994), Fourier Finite-difference Migration, Geophys. 59, 1882-1893.
54. SALPETER, E. E. (1967), Interplanetary Scintillations, Astrophys. J. 147, 433-448.
55. SCHNEIDER, W. A. (1978), Integral Formulation in Two and Three Dimensions, Geophys. 43, 49-76.
56. STOFFA, P., FOKKEMA, J., DE LUNA FREIRE, R., and KESSINGER, W. (1990), Split-step Fourier Migration, Geophys. 55, 410-421.
57. TAPPERT, F. D. (1974), Parabolic Equation Method in Underwater Acoustics, J. Acoust. Soc. Am. 55, Supplement 34(A).
58. TATARSKII, V. L., The Effects of the Turbulent Atmosphere on Wave Propagation (translated from Russian) (National Technical Information Service, 1971).
59. THOMSON, D. J. and CHAPMAN, N. R. (1983), A Wide Angle Split-step Algorithm for the Parabolic Equation, J. Acoust. Soc. Am. 74, 1848 1854.
60. TOLSTOY, A., BERMAN, D. H., and FRANCHI, E. R. (1985), Ray Theory versus the Parabolic Equation in a Long-range Ducted Environment, J. Acoust. Soc. Am. 78, 176-189.
61. TWERSKY, V. (1964), On Propagation in Random Media of Discrete Scatterers, Proc. Am. Math. Soc. Soc. Symp. Stochas. Proc. Math. Phys. Eng. 16, 84-116.
62. WILD, A. J. and HUDSON, J. A. (1998), A Geometrical Approach to the Elastic Complex-screen, J. Geophys. Res. 103, 707-726.
63. WILD, A. J., HOBBS, R. W., and FRENJE, L. (2000). Modeling Complex Media: An Introduction to the Phase-screen Method, Phys. Earth and Planet. Interiors 120, 219-226.
64. WU, R.-S. (1989a). The Perturbation Method in Elastic Wave Scattering, Pure Appl. Geophys. 131, 605-637.
65. WU, R.-S. (1989b), Seismic wave scattering. In Encyclopedia of Geophysics (ed., D. James, Van Norstrand Reinhold and Comp.), 1166-1187.
66. WU, R.-S. (1994), Wide-angle Elastic Wave One-way Propagation in Heterogeneous Media and an Elastic Wave Complex-screen Method, J. Geophys. Res. 99, 751-766.
67. WU, R.-S. (1996), Synthetic Seismograms in Heterogeneous Media by One-return Approximation, Pure Appl. Geophys. 148, 155-173.
68. WU, R.-S. and AKI, K. (1985a), Scattering Characteristics of Elastic Waves by an Elastic Heterogeneity, Geophys. 50, 582-595.
69. WU, R.-S. and AKI, K. (1985b), Elastic Wave Scattering by a Random Medium and the Small-scale Inhomogeneities in the Lithosphere, J. Geophys. Res. 90, 10,261-10,273.
70. WU, R.-S. and DE HOOP, M. V. (1996), Accuracy analysis and numerical tests of screen propagators for wave extrapolation, Mathematical Methods in Geophysical Imaging IV, SPIE 2822, 196-209.
71. WU, R.-S. and FLATTÉ S. M. (1990), Transmission Fluctuations across an Array and Heterogeneities in the Crust and Upper Mantle, Pure Appl. Geophys. 132, 175-196.
72. WU, R.-S. and HUANG, L.-J. (1992), Scattered Field Calculation in Heterogeneous Media Using Phase-screen Propagator, Expanded Abstracts of the Technical Program, SEG 62nd Annual Meeting, 1289-1292.
73. WU, R.-S. and HUANG, L.-J. (1995), Reflected wave modeling in heterogeneous acoustic media using the De Wolf approximation. Mathematical Methods in Geophysical Imaging III, SPIE 2571, 176-186.
74. WU, R.-S., HUANG, L.-J., and XIE, X.-B. (1995), Backscattered Wave Calculation Using the De Wolf Approximation and a Phase-screen Propagator, Expanded Abstracts, SEG 65th Annual Meeting, 1293-1296.
75. WU, R.-S. and JIN, S. (1997), Windowed GSP (Generalized Screen Propagators) Migration Applied to SEG-EAEG Salt Model Data, Expanded abstracts, SEG 67th Annual Meeting, 1746-1749.
76. WU, R.-S., JIN, S., and XIE, X.-B. (2000a), Seismic Wave Propagation and Scattering in Heterogeneous Crustal Waveguides Using Screen Propagators: I SH Waves, Bull. Seismol. Soc. Am. 90, 401-413.
77. WU, R.-S., JIN, S., and XIE, X.-B. (2000b), Energy Partition and Attenuation of Lg Waves by Numerical Simulations Using Screen Propagators, Phys. Earth and Planet. Inter. 120, 227-244.
78. WU, R.-S. and TOKSÖZ, M. N. (1987), Diffraction Tomography and Multisource Holography Applied to Seismic Imaging, Geophys. 52, 11-25.
79. WU, R.-S. and XIE, X.-B. (1993), A Complex-screen Method for Elastic Wave One-way Propagation in Heterogeneous Media, Expanded Abstracts of the 3rd International Congress of the Brazilian Geophysical Society.
80. WU, R.-S. and XIE, X.-B. (1994), Multi-screen backpropagator for fast 3D elastic prestack migration. Mathematical Methods in Geophysical Imaging II, SPIE, 2301, 181-193.
81. WU, R.-S., XIE, X.-B., and WU, X.-Y. (1999), Lg wave simulations in heterogeneous crusts with irresular topography using half-space screen propagators, Proceedings of the 21th Annual Seismic Research Symposium on Monitoring a Comprehensive Test Ban Treaty, pp. 683-693.
82. WU, X.-Y. and WU, R.-S. (1998), An Improvement to Complex Screen Method for Modeling Elastic Wave Reflections, Expanded abstracts, SEG 68th Annual Meeting, 1941-1944.
83. WU, X.-Y. and WU, R.-S. (1999), Wide-angle Thin-slab Propagator with Phase Matching for Elastic Wave Modeling, Expanded abstracts, SEG 69th Annual Meeting, 1867-1870.
84. XIE, X.-B. and WU, R.-S. (1995), A Complex-screen Method for Modeling Elastic Wave Reflections, Expanded Abstracts, SEG 65th Annual Meeting, 1269-1272.
85. XIE, X.-B. and WU, R.-S. (1996), 3-D Elastic Wave Modeling Using the Complex Screen Method, Expanded Abstracts of the Technical Program, SEG 66th Annual Meeting, 1247-1250.
86. XIE, X.-B. and WU, R.-S. (1998), Improve the Wide Angle Accuracy of Screen Method under Large Contrast, Expanded abstracts, SEG 68th Annual Meeting, 1811-1814.
87. XIE, X.-B. and WU, R.-S. (1999), Improving the Wide Angle Accuracy of the Screen Propagator for Elastic Wave Propagation, Expanded abstracts, SEG 69th Annual Meeting, 1863-1866.
88. XIE, X.-B. and WU, R.-S. (2000), Modeling Elastic Wave Forward Propagation and Reflection Using the Complex-screen Method, J. Acoust. Soc. Am., accepted.
89. XIE, X.-B., MOSHER, C.C. and WU, R.-S. (2000), The Application of Wide Angle Screen Propagator to 2-D and 3-D Depth Migrations, Expanded abstracts, SEG 70th Annual Meeting, 878-881.