Particle motion of plane waves in viscoelastic anisotropic media

Geologiya i Geofizika

Volumn 47, Issue 5, 2006, Pages 557-567

  Cerveny V ^a   Psencik I ^b  

^a CHARLES UNIVERSITY   (Czech Republic)

^b GEOPHYSICAL INSTITUTE   (Czech Republic)

Author keywords

Homogeneous and inhomogeneous plane waves; Polarization; Viscoelastic anisotropic medium

Indexed keywords

ANISOTROPIC MEDIUM; PARTICLE MOTION; POLARIZATION; SEISMIC WAVE; WAVE PROPAGATION;

EID: 33845687877     PISSN: 00167886     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (33)

1. Helbig K. Foundations of anisotropy for exploration seismics. Pergamon, Oxford, 1994, 486 p.
2. Musgrave M.J.P. Crustal acoustic. Holden Day, San Francisco, 1970.
3. Borcherdt R.D. Energy and plane waves in linear viscoelastic media // J. Geophys. Res., 1973, v. 78, p. 2442-2533.
4. Buchen P.W. Plane waves in linear viscoelastic media // Geophys. J. Roy. Astron. Soc., 1971, v. 23, p. 531-542.
5. Carcione J.M. Wave fields in real media: Wave propagation in anisotropic, anelastic and porous media. Amsterdam, Pergamon, 2001, 316 p.
6. Caviglia G., and Morro A. Inhomogeneous waves in solids and fluids // World Scientific, Singapore, 1992, p. 1-15.
7. Krebcs E.S. Discrepancies in energy calculations for inhomogeneous waves // Geophys. J. Roy. Astron. Soc., 1983, v. 75, p. 839-846.
8. Carcione J.M., Cavallini F. Energy balance and fundamental relations in anisotropic-viscoelastic media// Wave Motion, 1993, v. 18, p. 11-20.
9. Carcione J.M., Cavallini F. Forbidden directions for inhomogeneous pure shear waves in dissipative anisotropic media // Geophysics, 1995, v. 60, p. 522-530.
10. Krebes E.S., Le L.H.T. Inhomogeneous plane waves and cylindrical waves in anisotropic anelastic media // J. Geophys. Res., 1994, v. 99, No B12, p. 23899-23919.
11. Romeo M. Inhomogeneous waves in anisotropic dissipative solids // Q.J. Mech. Appl. Math., 1994, v. 47, p. 481-491.
12. Daley P.F., Hron F. Reflection and transmission coefficients for transversely Isotropic media // Bull. Seismol. Soc. Amer., 1977, v. 67, p. 661-676.
13. Gajewski D., Pšenčik I. Computation of high-frequency seismic wavefileds in 3-D laterally inhomogeneous anisotropic media// Geophys. J. Roy. Astron. Soc., 1987, v. 91, p. 383-411.
14. Frazer L.N., Fryer G. J. Useful properties of the system matrix for a homogeneous anisotropic visco-elastic solid // Geophys. J., 1989, v. 97, p. 173-177.
15. Kennett B.L.N. Seismic wave propagation in stratified media. Cambridge, Cambridge Univ. Press, 1983, 342 p.
16. Kennett B.L.N. The seismic wavefield. V. I: Introduction and theoretical development. Cambridge, Cambridge Univ. Press, 2001.
17. Thomson C.J. Notes on Rmatrix, a program to find the seismic plane-wave response of a stack of anisotropic layers // Queen's University, Dept. of Geol. Sci. Kingston, 1996.
18. Thomson C.J. Notes on waves in layered media to accompany program'Rmatrix // Notes on Rmatrix, a Program to Find the Seismic Plane-wave Response of a Stack of Anisotropic Layers Ibid., 1998, Rep.7, p. 147-162.
19. Woodhouse J.H. Surface waves in laterally varying structure // Geophys. J. Rot. Astron. Soc., 1974, v. 37, p. 461-490.
20. Stroh A.N. Steady state problems in anisotropic elasticity // J. Math. Phys., 1962, v. 41, p. 77-103.
21. Shuvalov A.L. On the theory of plane inhomogeneous waves in anisotropic elastic media // Wave Motion, 2001, v. 34, p. 401-429.
22. Shuvalov A.L., Scott N.H. On the properties of homogeneous viscoelastic waves // Q.J. Mech. Appl. Math., 1999, v. 52, p. 405-417.
23. Shuvalov A.L., Scott N.H. On singular features of acoustic wave propagation in weakly dissipative anisotropic thermoviscoelasticity // Acta Mechanica, 2000, v. 140, p. 1-15.
24. Caviglia G., Morro A. Existence and uniqueness in the reflection-transmission problem // Q.J. Mech. Appl. Math., 1999, v. 52, p. 543-564.
25. Červeny V. Inhomogeneous harmonic plane waves in viscoelastic anisotropic media // Stud. Geophys. Geod., 2004, v. 48, p. 167-186.
26. Červeny V., Pšenčik I. Slowness vectors in viscoelastic anisotropic media. Part 1: Theory // Geophys. J. Int., 2005, v. 161, p. 197-212.
27. Červeny V., Pšenčik I. Plane waves in viscoelastic anisotropic media, Part 2: Numerical examples // Geophys. J. Int. Ibid., p. 213-229.
28. Jakobsen M., Johansen T.A., McCann C. The acoustic signature of fluid flow in complex porous media// J.Appl. Geophys., 2003, v. 54, p. 219-246.
29. Schoenberg M., Helbig K. Orthorhombic media: modeling elastic wave behavior in a vertically fractured earth//Geophysics, 1997, v. 62, p. 1954-1974.