Reflection/transmission laws for slowness vectors in viscoelastic anisotropic media

Studia Geophysica et Geodaetica

Volumn 51, Issue 3, 2007, Pages 391-410

  Cerveny V ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Reflection and transmission laws; Snell's law; Viscoelastic anisotropic media

Indexed keywords

ALGORITHM; ANISOTROPY; VISCOELASTICITY; WAVE ATTENUATION; WAVE PROPAGATION;

EID: 34547562654     PISSN: 00393169     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11200-007-0022-7     Document Type: Article

References (20)

1. Aki K. and Richards P., 1980. Quantitative Seismology. Theory and Methods. Freeman, San Francisco.
2. Borcherdt R.D., 1977. Reflection and refraction of type-II S waves in elastic and anelastic media. Bull. Seismol. Soc. Amer., 67, 43-67.
3. Borcherdt R.D., 1982. Reflection-refraction of general P-and type-I S waves in elastic and anelastic solids. Geophys. J. R. Astr. Soc., 70, 621-638.
4. Carcione J.M., 2001. Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic and Porous Media. Pergamon, Amsterdam.
5. Caviglia G. and Morro A., 1992. Inhomogeneous Waves in Solids And Fluids. World Scientific, Singapore.
6. Caviglia G. and Morro A., 1999. Existence and uniqueness in the reflection-transmission problem. Q. J. Mech. Appl. Math., 52, 543-564.
7. V̌ervený V., 2001. Seismic Ray Theory. Cambridge Univ. Press, Cambridge.
8. Červený V., Molotkov I.A. and Pšenčík I., 1977. Ray Method in Seismology. Charles University, Praha.
9. Červený V. and Pšenčík I., 2005. Plane waves in viscoelastic anisotropic media-I. Theory. Geophys. J. Int., 161, 197-212.
10. Declercq N.F., Briers R., Degrieck J. and Leroy O., 2005. The history and properties of ultrasonic inhomogeneous waves. IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 52, 775-791.
11. Deschamps M., 1994. Reflection and refraction of the evanescent plane wave on plane interfaces. J. Acoust. Soc. Am., 96, 2841-2848.
12. Deschamps M., Poirée B. and Poncelet O., 1997. Energy velocity of complex harmonic plane waves in viscous fluids. Wave Motion, 25, 51-60.
13. Fedorov F.I., 1968. Theory of Elastic Waves in Crystals. Plenum, New York.
14. Gajewski D. and Pšenčík I., 1987. Computation of high-frequency seismic wavefields in 3-D laterally inhomogeneous anisotropic media. Geophys. J. R. Astr. Soc., 91, 383-411.
15. Henneke E.G., 1972. Reflection-refraction of a stress wave at a plane boundary between anisotropic media. J. Acoust. Soc. Am., 51, 210-217.
16. Krebes E.S., 1983. The viscoelastic reflection/transmission problem, two special cases. Bull. Seismol. Soc. Amer., 73, 1673-1683.
17. Krebes E.S. and Daley P.F., 2007. Difficulties with computing anelastic plane wave reflection and transmission coefficients. Geophys. J. Int., doi: 10.1111/j.1365-246X.2006.03349.x.
18. Robein E., 2003. Velocities, Time-Imaging and Depth-Imaging in Reflection Seismics. Principles and Methods. EAGE Publications, Houten, The Netherlands.
19. Ruud B.O., 2006. Ambiguous reflection coefficients for anelastic media. Stud. Geophys. Geod., 50, 479-498.
20. Wennerberg L., 1985. Snell's law for viscoelastic materials. Geophys. J. R. Astr. Soc., 81, 13-18.