This paper investigates the deformation of an acoustic pulse travelling in a slab of random medium when its width is large compared to the size of the random inhomogeneities of the medium. A limit theorem is shown that explains how the shape of the transmitted pulse can be obtained as a result of a deterministic Gaussian convolution of the initial pulse. Since the random fluctuations are not supposed to be small, this gives a new rigorous formulation of the O'Doherty-Anstey result, which is well known in geophysical literature theory.
Publié le : 1994-11-14
Classification:
Waves in random media,
transmitted pulse,
diffusion approximation,
stochastic equations,
73D70,
60B10,
60H10
@article{1177004904,
author = {Clouet, J. F. and Fouque, J. P.},
title = {Spreading of a Pulse Travelling in Random Media},
journal = {Ann. Appl. Probab.},
volume = {4},
number = {4},
year = {1994},
pages = { 1083-1097},
language = {en},
url = {http://dml.mathdoc.fr/item/1177004904}
}
Clouet, J. F.; Fouque, J. P. Spreading of a Pulse Travelling in Random Media. Ann. Appl. Probab., Tome 4 (1994) no. 4, pp. 1083-1097. http://gdmltest.u-ga.fr/item/1177004904/