Abstract
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.
Citation
J. F. Clouet. J. P. Fouque. "Spreading of a Pulse Travelling in Random Media." Ann. Appl. Probab. 4 (4) 1083 - 1097, November, 1994. https://doi.org/10.1214/aoap/1177004904
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