Weak-contrast approximation of the elastic scattering matrix in anisotropic media

Pure and Applied Geophysics

Volumn 148, Issue 3-4, 1996, Pages 685-714

  Ursin, Bjørn ^a   Haugen, Geir U ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Amplitude versus offset and azimuth (AVO A); Anisotropy; Approximative scattering matrix; Weak contrast approximation

Indexed keywords

ANISOTROPY; AVO; SCATTERING;

EID: 0030439802     PISSN: 00334553     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf00874584     Document Type: Article

References (21)

1. AKI, K., and RICHARDS, P. G., Quantitative Seismology, Theory and Methods, vol. 1 (W. H. Freeman and Company 1980).
2. CHAPMAN, C. H. (1994), Reflection / Transmission Coefficient Reciprocities in Anisotropic Media, Geophys. J. Int. 116, 498-501.
3. DALEY, P. F., and HRON, F. (1977), Reflection and Transmission Coefficients for Transversely Isotropic Media, Bull. Seismol. Soc. Am. 67, 661-675.
4. FRYER, G. J., and FRAZER, L. N. (1987), Seismic Waves in Stratified Anisotropic Media - 2: Elastodynamic Eigensolutions for Some Anisotropic Systems, Geophys. J. Roy. Astr. Soc. 91, 73-101.
5. GRAEBNER, M. (1992), Plane-wave Reflection and Transmission Coefficients for a Transverse Isotropic Solid, Geophysics 57, 1512-1519.
6. GUEST, W. S., THOMSON, C. J., and SPENCER, C. P. (1993), Anisotropic Reflection and Transmission Calculations with Application to a Crustal Seismic Survey from the East Greenland Shelf, J. Geophys. Res. 98 (B8), 14.161-14.184.
7. KENNETT, B. L. N., Seismic Wave Propagation in Stratified Media (Cambridge University Press, 1983).
8. NICHOLS, D., MUIR, F., and SCHOENBERG, M. (1989), Elastic properties of rocks with multiple sets of fractures. In Expanded Abstracts of the 59th Annual International Meeting of the SEG, Dallas, 471-474.
9. PETERSON, R. A., FILLIPPONE, W. R., and COKER, F. B. (1955), The Synthesis of Seismograms from Well Log Data, Geophysics 20, 529-564.
10. RICHARDS, P. G., and FRASIER, C. W. (1976). Scattering of Elastic Waves from Depth-dependent Inhomogeneities, Geophysics 41, 441-458.
11. ROKHLIN, S. I., BOLLAND, T. K., and ADLER, L. (1976). Reflection and Refraction of Elastic Waves on a Plane Interface between Two Generally Anisotropic Media, J. Acoust. Soc. Am, 79, 906-918.
12. RÜGER, A. (1995), P-wave reflection coefficients for transversely Isotropic media with vertical and horizontal axis of symmetry. In Expanded Abstracts of the 65th Annual International Meeting of the SEG, Houston, 278-281.
13. SCHOENBERG, M., and PROTAZIO, J. (1992), "Zoeppritz" Rationalized and Generalized to Anisotropy. J. Seism. Expl. 1, 125-144.
14. SHUEY, R. T. (1985), A Simplification of the Zaeppritz Equations, Geophysics 50, 609-614.
15. THOMSEN, L. (1986). Weak Elastic Anisotropy, Geophysics 51, 1954-1966.
16. THOMSEN, L., Weak anisotropic reflections. In Offset-dependent Reflectivity - Theory and Practice of AVO Analysis (eds. Castagna, J. P. and Backus, M. M.), (SEG, Tulsa 1993).
17. URSIN, B. (1983), Review of Elastic and Electromagnetic Wave Propagation in Layered Media, Geophysics 48, 1063-1081.
18. URSIN, B., EKREN, B O., and TJÅLAND, E. (1996), Linearized Elastic Parameter Sections, Geophysical Prospecting 44, 427-455.
19. WOODHOUSE, J H. (1974). Surface Waves in a Laterally Varying Layered Structure, Geophys. J. Roy. Astr. Soc. 37, 461-490.
20. WRIGHT, J (1987). The Effects of Transverse Isotropy on Reflection Amplitude versus Offset, Geophysics 52, 564-567.
21. ZOEPPRITZ, K. (1919), Über Reflexion and Durchgang seismischer Wellen durch Unstetigkeitsfiachen, uber Erdbebenwellen VII B, Nachrichten der königlichen Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-physikalische Klasse, 57-84.