The best isotropic approximation of an anisotropic Hooke's law

Bollettino di Geofisica Teorica ed Applicata

Volumn 40, Issue 1, 1999, Pages 1-18

  Cavallini, F ^a  

^a ISTITUTO NAZIONALE DI OCEANOGRAFIA E DI GEOFISICA SPERIMENTALE OGS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645355253     PISSN: 00066729     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. Abbudi M. and Barnett D. M.; 1991: Three-dimensional computer visualization of the slowness surfaces of anisotropic crystals. In:Wu J. J., Ting T. C. T., and Barnett D. M. (eds), Modern theory of anisotropic elasticity and applications. SIAM, Philadelphia, pp. 290-300.
2. Arts R. J.; 1993: A study of general anisotropic elasticity in rocks by wave propagation: theoretical and experimental aspects. Ph. D. Thesis, Université P. et M. Curie, Paris (France), 248 pp.
3. Auld B. A.; 1990: Acoustic fields and waves in solids. Vol. 1, 2. nd edition, Robert Krieger Publishing Co., Malabar (Florida), 435 pp.
4. Babuska V. and Cara M.; 1991: Seismic anisotropy in the Earth. Kluwer, Dordrecht, 217 pp.
5. Backus G.; 1970: A geometrical picture of anisotropic elastic tensors. Revs Geophys. Space Phys., 8, 633-671.
6. Banchoff T. and Wermer J.; 1991: Linear algebra through geometry. 2. nd ed., Springer-Verlag, New York, 305 pp.
7. Bourbie T., Coussy O. and Zinsner B.; 1987: Acoustics of porous media. Editions Technip, Paris, 334 pp.
8. Carcione J. M.; 1992: Anisotropic Q and velocity dispersion of finely layered media. Geophys. Prospecting, 40, 761-783.
9. Carcione J. M. and Cavallini F.; 1995: Attenuation and quality factor surfaces in anisotropic-viscoelastic media. Mech. of Mater, 19, 311-327.
10. Carcione J. M. and Cavallini F.; 1994: A rheological model for anelastic anisotropic media with applications to seismic wave propagation. Geophys. J. Internat, 119, 338-348.
11. Crampin S.; 1981: A review of wave motion in anisotropic and cracked elastic media. Wave Motion, 3, 343-391.
12. Curie P.; 1884: Sur la symétrie. Bull. Soc. Mineral. France, 7, 418-457.
13. Fedorov F. I.; 1968: Theory of elastic waves in crystals. Plenum Press, New York, 375 pp.
14. Fjaer E., Holt R. M. and Rathore J. S. (eds); 1996: Seismic anisotropy. Society of Exploration Geophysics, Tulsa (Oklahoma), 763 pp.
15. Grant F. S. and West G. F.; 1965: Interpretation theory in applied geophysics. McGraw-Hill, New York, 583 pp.
16. Gurtin M. E.; 1981: An introduction to continuum mechanics. Academic Press, San Diego (California), 265 pp.
17. Helbig K.; 1994: Foundations of anisotropy for exploration seismics. Pergamon, Oxford, 486 pp.
18. Kawasaki I.; 1989: Seismic anisotropy in the Earth. In: James D. E. (ed), The encyclopedia of solid Earth geophysics, Van Nostrand Reinhold, New York, 1328 pp.
19. Mehrabadi M. M. and Cowin S. C.; 1990: Eigentensors of linear anisotropic elastic materials. Q. Jl. Mech. & Appl. Math., 43, 15-41.
20. Schoenberg M., Muir F. and Sayers C.; 1996: Introducing ANNIE: a simple three-parameter anisotropic velocity model for shales. J. Seismic Explor., 5, 35-49.
21. Thill R. E., Bur T. R. and Steckley R. C.; 1973: Velocity anisotropy in dry and saturated rock spheres and its relation to rock fabric. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr., 10, 535-557.
22. Thomsen L.; 1986: Weak elastic anisotropy. Geophysics, 51, 1954-1966.
23. Thomson W. (Lord Kelvin); 1856: Elements of a mathematical theory of elasticity. Phil. Trans. R. Soc., 166, 481-498.
24. Vernik L. and Liu X.; 1997: Velocity anisotropy in shales: A petrophysical study. Geophysics, 62, 521-532.