Statistical moments of travel times at second order in isotropic and anisotropic random media

Waves Random Media

Volumn 10, Issue 3, 2000, Pages 381-394

  Iooss, B ^a   Blanc Benon, Ph ^b   Lhuillier, C ^a  

^a IRFM   (France)

^b ECOLE CENTRALE DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CORRELATION METHODS; PERTURBATION TECHNIQUES; PROBABILITY DISTRIBUTIONS; RAY TRACING; REFRACTIVE INDEX; STATISTICAL METHODS;

ACOUSTIC SPEED PERTURBATION; GAUSSIAN DISTRIBUTION;

ACOUSTIC WAVE TRANSMISSION;

EID: 0034227227     PISSN: 09597174     EISSN: None     Source Type: Journal    
DOI: 10.1088/0959-7174/10/3/305     Document Type: Article

References (27)

1. Blanc-Benon P, Juvé D and Comte-Bellot G 1991 Occurence of caustics for high-frequency waves propagating through turbulent fields Theor. Comput. Fluid Dynam. 2 271-8
2. Blanc-Benon P, Juvé D, Ostashev V E and Wandelt R 1995 On the appearance of caustics for plane sound-wave propagation in moving random media Waves Random Media 5 183-99
3. Boyse W and Keller J B 1995 Short acoustic, electromagnetic and elastic waves in random media J. Opt. Soc. Am. 12 380-9
4. Cerveny V, Popov M M and Psencik I 1982 Computation of wave fields in inhomogeneous media - Gaussian beam approach Geophys. J. R. Astron. Soc. 70 109-28
5. Chernov L A 1960 Wave Propagation in a Random Medium (New York: McGraw-Hill)
6. Fiorina D 1998 Application de la méthode de sommation de faisceaux Gaussiens à l'étude de la propagation ultrasonore en milieu turbulent Thèse École Centrale de Lyon
7. Flatté S M, Dashen R, Munk W H, Watson K M and Zachariasen F 1979 Sound Transmission throug a Fluctuating Ocean (New York: Cambridge University Press)
8. Flatté S M and Wu R S 1988 Small-scale structure in the lithosphere and asthenosphere deduced from arrival time and amplitude fluctuations at NORSAR J. Geophys. Res. 93 6601-14
9. Iooss B 1998 Seismic reflection traveltimes in two-dimensional statistically anisotropic random media Geophys. J. Int. 135 999-1010
10. Iooss B 1998 Tomographie statistique en sismique réflexion: estimation d'un modèle de vitesse stochastique Thèse Ecole des Mines de Paris
11. Juvé D, Blanc-Benon P and Hugon-Jeannin Y 1991 Simulation numérique de la propagation en milieu aléatoire Publ. LMA 125 245-55
12. Karweit M and Blanc-Benon P 1993 Arrival-time variance for acoustic propagation in 3-D random media: the effect of lateral scale C. R. Acad. Sci., Paris II 316 1695-702
13. Karweit M, Blanc-Benon P, Juvé D and Comte-Bellot G 1991 Simulation of the propagation of an acoustic wave through a turbulent velocity field: a study of phase variance J. Acoust. Soc. Am. 89 52-62
14. Keller J B 1962 Wave propagation in random media Symp. Applied Math. vol 16 (Providence, RI: American Mathematical Society) pp 227-46
15. Klyatskin V I 1993 Caustics in random media Waves Random Media 3 93-100
16. Kraichnan R H 1970 Diffusion by a random velocity field Phys. Fluids 13 22-31
17. Kulkarny V A and White B S 1982 Focusing of waves in turbulent inhomogeneous media Phys. Fluids 25 1770-84
18. Papoulis A 1965 Probability, Random Variables and Stochastic Processes (New York: McGraw-Hill)
19. Roth M, Müller G and Snieder R 1993 Velocity shift in random media Geophys. J. Int. 115 552-63
20. Rytov S M, Kravstov Y A and Tatarskii V I 1987 Principles of Statistical Radiophysics (Berlin: Springer)
21. Samuelides Y 1998 Velocity shift using the Rytov approximation J. Acoust. Soc. Am. 104 2596-603
22. Samuelides Y and Mukerji T 1998 Velocity shift in heterogeneous media with anisotropic spatial correlation Geophys. J. Int. 134 778-86
23. Shapiro S, Schwarz R and Gold N 1996 The effect of random isotropic inhomogeneities on the phase velocity of seismic waves Geophys. J. Int. 127 783-94
24. Snieder R and Aldridge D F 1995 Perturbation theory for travel times J. Acoust. Soc. Am. 98 1565-9
25. Tatarskii V I 1961 Wave Propagation in a Turbulent Medium (New York: Dover)
26. Wackernagel H 1995 Multivariate Geostatistics (Berlin: Springer)
27. Witte O, Roth M and Müller G 1996 Ray tracing in random media Geophys. J. Int. 124 159-69