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Abstract: We consider acoustic pulse propagation in inhomogeneous media over relatively long propagation distances. Our main objective is to characterize the spreading of the travelling pulse due to microscale variations in the medium parameters. The pulse is generated by a point source and the medium is modeled by a smooth three dimensional background that is modulated by stratified random fluctuations. We refer to such media as locally layered. We show that, when the pulse is observed relative to its... (Update)
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BibTeX entry: (Update)
K. Solna and G. Papanicolaou. Ray theory for a locally layered random medium. http://georgep.stanford.edu/ papanico/pubs.html, 1999. http://citeseer.ist.psu.edu/solna99ray.html More
@misc{ solna99ray,
author = "K. Solna and G. Papanicolaou",
title = "Ray theory for a locally layered random medium",
text = "K. Solna and G. Papanicolaou. Ray theory for a locally layered random medium.
http://georgep.stanford.edu/ papanico/pubs.html, 1999.",
year = "1999",
url = "citeseer.ist.psu.edu/solna99ray.html" }
Citations (may not include all citations):56 Asymptotic approximations of integrals (context) - Wong - 1989
55 Asymptotic expansions of integrals (context) - Bleistein, Handelsman - 1986
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23 Quantitative Seismology-Theory and Methods (context) - Aki, Richards - 1980
16 Topics in nonlinear functional analysis (context) - Nirenberg - 1973
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16 one-dimensional wave propagation in a highly discontinuous m.. (context) - Burridge, Chang - 1988
13 Spreading of a pulse travelling in random media - Clouet, Fouque - 1994
13 Asymptotic theory of mixing stochastic ordinary differential.. (context) - Kohler, Papanicolaou - 1974
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8 Beyond effective medium theory: Pulse stabilization for mult.. (context) - Lewicki, Burridge et al. - 1996
8 Geophysical Prospecting (context) - O'Doherty, Anstey et al. - 1971
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6 Long time evolution of wavefronts in random media (context) - Lewicki - 1994
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4 Stochastic equations and wave propagation in random media (context) - Keller - 1964
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4 Reflection of wavefronts by randomly layered media - Papanicolaou, Lewicki - 1994
3 part I: Derivation of the O'Doherty-Anstey formula (context) - Banik, Lerche et al. - 1985
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2 Power statistics for wave propagation in one dimension and c.. (context) - Kohler, Papanicoalou - 1973
2 An Introduction to Probabilty Theory and Its Applications (context) - Feller - 1971
2 part II: Model spectra (context) - Banik, Lerche et al. - 1985
2 Estimation of pulse shaping for well logs (context) - Solna - 1998
2 and the generalized primary wave (context) - Resnick, Lerche et al. - 1986
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