Beyond effective medium theory: Pulse stabilization for multimode wave propagation in high-contrast layered media

SIAM Journal on Applied Mathematics

Volumn 56, Issue 1, 1996, Pages 256-276

  Lewicki, Pawel ^a   Burridge, Robert ^a   De Hoop, Maarten V ^b  

^a SCHLUMBERGER DOLL RESEARCH   (United States)

^b SCHLUMBERGER CAMBRIDGE RESEARCH   (United Kingdom)

Author keywords

Homogenization; Random media; Wave propagation

Indexed keywords

ELECTROMAGNETIC WAVE ATTENUATION; ELECTROMAGNETIC WAVE PROPAGATION; MATHEMATICAL MODELS; RANDOM PROCESSES;

EFFECTIVE MEDIUM THEORY; HOMOGENIZATION; MULTIMODE PLANE WAVE PULSE PROPAGATION; PULSE STABILIZATION; RANDOM MEDIA;

ELECTROMAGNETIC PULSE;

EID: 0030083212     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036139994273661     Document Type: Article

References (12)

1. R. BURRIDGE AND H.-W. CHANG, Multimode, one-dimensional wave propagation in a highly discontinuous medium, Wave Motion, 11 (1988), pp. 231-249.
2. R. BURRIDGE, H.-W. CHANG, AND M. V. DE HOOP, Wave propagation with tunneling in a highly discontinuous medium, Wave Motion, 13 (1991), pp. 307-327.
3. _, The pseudo-primary field due to a point source in a finely layered medium, Geophysical Journal International 104 (1991), pp. 489-506.
4. R. BURRIDGE, G. S. PAPANICOLAOU, P. SHENG, AND B. S. WHITE, Probing a random medium with a pulse, SIAM J. Appl. Math., 49 (1989), pp. 582-607.
5. R. BURRIDGE AND P. LEWICKI, Reflections from a deep interface in a strongly heterogeneous layered medium, to appear.
6. R. BURRIDGE, G. S. PAPANICOLAOU, AND B. S. WHITE, One-dimensional wave propagation in a highly discontinuous medium, Wave Motion, 10 (1988), pp. 19-44.
7. W. KOHLER AND G. PAPANICOLAOU, Asymptotic theory of mixing stochastic ordinary differential equations, Comm. Pure Appl. Math., 27 (1974), pp. 614-668.
8. P. LEWICKI, Long time evolution of wavefronts in random media, SIAM J. Appl. Math., 54 (1994), pp. 907-934.
9. P. LEWICKI, R. BURRIDGE, AND M. DE HOOP, Beyoned the Effective Medium Theory: Elastic Pulse Stabilization in High Contrast Layered Media, Schlumberger-Doll Research Note, DIR-001-94-01, 1994.
10. P. LEWICKI, R. BURRIDGE, AND G. S. PAPANICOLAOU, Pulse stabilization in a strongly heterogeneous layered medium, Wave Motion, 20 (1994), pp. 177-195.
11. R. F. O'DOHERTY AND N. A. ANSTEY, Reflections on amplitudes, Geophysical Prospecting, 19 (1971), pp. 430-458.
12. B. WHITE, P. SHENG, AND B. NAIR, Localization and backscattering spectrum of seismic waves in stratified lithology, Geophysics, 55 (1990), pp. 1158-1165.