A unified approach to 3-D seismic reflection imaging, Part II: Theory

Geophysics

Volumn 61, Issue 3, 1996, Pages 759-775

  Tyge, Martin ^a   Schleicher, Jörg ^a,b   Hubral, Peter ^b  

^a UNIVERSITY OF CAMPINAS   (Brazil)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

IMAGE PROCESSING; INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; REFLECTION; VELOCITY;

DIFFRACTION STACK INTEGRALS; IMAGE TRANSFORMATIONS; ISOCHRONE STACK INTEGRALS; SEISMIC REFLECTION IMAGING; TRUE AMPLITUDE WEIGHTS;

SEISMIC PROSPECTING;

DIFFRACTION STACK INTEGRAL; ISOCHRONE STACK INTEGRAL; SEISMIC REFLECTION IMAGING; SEISMIC STACKING;

EID: 0030135644     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1444002     Document Type: Article

References (18)

1. Beylkin, G., 1985a, imaging of discontinuities in the inverse scattering problem by inversion of a generalized Radon transform: J. Math. Phys., 26, 99-108.
2. _ 1985b, Reconstructing discontinuities in multidimensional inverse scattering problems: Applied Optics, 24, 4086-4088.
3. Bleistein, N., 1987, On the imaging of reflectors in the earth: Geophysics, 52, 931-942.
4. Červený, V., and de Castro, M. A., 1993, Application of dynamic ray tracing in the 3-D inversion of seismic reflection data: Geophys. J. Internat., 113, 776-779.
5. Goldin, S. V., 1988, Transformation and reconstruction of discontinuities in problems of a tomographic type. Academy of Sciences, Sibierian Branch, Institute for Geology and Geophysics (in Russian).
6. _ 1989, Method of discontinuities and theoretical problems of migration: 59th Ann. Internat. Mtg., Soc. Expl. Geoph., Expanded Abstracts, 1326-1328.
7. _ 1990, A geometrical approach to seismic processing: The method of discontinuities: Stanford Expl. Proj., Rep. 67, 171-209.
8. Goldin, S. V., 1991, Decomposition of geometrical approximation of a reflected wave: Soviet Geology and Geophysics, 32, no. 7, 110-119, (Geologiya i Geofizika, 32, no. 7, 128-136).
9. Goldin, S. V., 1991, Decomposition of geometrical approximation of a reflected wave: Soviet Geology and Geophysics, 32, no. 7, 110-119, (Geologiya i Geofizika, 32, no. 7, 128-136).
10. Hubral, P., Schleicher, J., and Tygel, M., 1992, Three-dimensional paraxial ray properties-Part II. Applications: J. Seis. Expl., 1, 347-362.
11. Hubral, P., Schleicher, J., and Tygel, M., 1996, A unified approach to 3-D seismic reflection imaging-Part I: Basic concepts: Geophysics, 61, 742-758 (this issue).
12. Miller, D., Oristaglio, M., and Beylkin, G., 1987, A new slant on seismic imaging: Migration and integral geometry: Geophysics, 52, 943-964.
13. Schleicher, J., 1993, Bestimmung von Reflexionskoeffizienten aus Reflexionsseismogrammen: Ph.D. thesis, Universität Karlsruhe (TH), in German.
14. Schleicher, J., Tygel, M., and Hubral, P., 1993, 3-D true-amplitude finite-offset migration: Geophysics, 58, 1112-1126.
15. Sun, J., 1995, Three-dimensional crosswell transmissions: Paraxial ray solutions and reciprocity paradox: Geophysics, 60, 810-820.
16. Tygel, M., Schleicher, J., and Hubral, P., 1994a, Kirchhoff-Helmholtz theory in modelling and migration: J. Seism. Expl., 3, 203-214.
17. _ 1994b, Pulse distortion in depth migration: Geophysics, 59, 1561-1569.
18. _ 1995, Dualities between reflectors and reflection-time surfaces: J. Seism. Expl., 4, 123-150.