A unified Born-Kirchhoff representation for acoustic media

Journal of Seismic Exploration

Volumn 6, Issue 2-3, 1997, Pages 217-226

  Novais, Amélia ^a   Santos, Lúcio T ^b   Tygel, Martin ^b   Ursin, Bjørn ^c  

^a FEDERAL UNIVERSITY OF SÃO CARLOS   (Brazil)

^b UNIVERSITY OF CAMPINAS   (Brazil)

^c NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Born; Born Kirchhoff; Helmholtz Kirchhoff; Reciprocity

Indexed keywords

EID: 2342427231     PISSN: 09630651     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. Ben-Menahem, A. and Beydoun, W.B., 1985. Range of validity of seismic ray and beam methods in general inhomogeneous media - I: General theory. Geophys.J.R.Astr.Soc., 82: 207-234.
2. Bleistein, N., 1984. Mathematical Methods for Wave Phenomena. Academic Press Inc., New York.
3. Červený, V., 1995. Seismic Wave Fields in Three-Dimensional Isotropic and Anisotropic Structures. Lecture Notes, University of Trondheim, Trondheim, Norway.
4. Chapman, C.H. and Coates, R.V., 1994. Generalized Born scattering in anisotropic media. Wave Motion, 19: 309-341.
5. Deregowski, S.M. and Brown, S.M., 1983. A theory of acoustic diffractors applied to 2-D models. Geophys. Prosp., 31: 293-333.
6. Druzhinin, A.B., 1994. Seismic modelling by scalar wave beam method. Russian Geology and Geophysics, 5: 83-102.
7. Frazer, L.N. and Sen, M.K., 1985. Kirchhoff-Helmholtz reflection seismograms in a laterally inhomogeneous multi-layered elastic medium - I: Theory. Geophys.J.R.Astr.Soc., 89: 121-147.
8. Frazer, L.N., 1988. Quadrature of wavenumber integrals. In: Doornbos, D.J. (Ed.), Seismological Algorithms - Computational methods and computer programs. Academic Press, Inc., New York: 279-288.
9. de Hoop, M.V. and Bleistein, N., 1996. Micro-local, non-linear, resolution analysis of generalized Radon transform inversions in anisotropic media. Project Review, Center of Wave Phenomena, Colorado School of Mines, CWP-206: 27-54.
10. Lumley, D.E. and Beydoun, W.B., 1993. Angle-dependent reflectivity estimation by Kirchhoff migration/inversion: Theory. Stanford Exploration Report, SEP 79: 205-225.
11. Spencer, C., de Hoop, M.V. and Burridge, R., 1995. Linearity, resolution and covariance in GRT inversions for anisotropic elastic moduli. SPIE proceedings, 2571: 110-122.
12. Tygel, M., Schleicher, J. and Hubral, P., 1994. Kirchhoff-Helmholtz theory in modeling and migration. J. of Seismic Explor., 3: 203-214.
13. Wapenaar, C.P.A. and Berkhout, A.J., 1993. Representations of seismic reflection data. J. of Seismic Explor., 2: 123-131.
14. Ursin, B. and Tygel, M., 1997. Reciprocal volume and surface scattering integrals for anisotropic elastic media. Wave Motion, in press.