SPREADING OF A PULSE TRAVELLING IN RANDOM MEDIA
成果类型：
Article
署名作者：
Clouet, J. F.; Fouque, J. P.
署名单位：
Institut Polytechnique de Paris; Ecole Polytechnique; ENSTA Paris
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/aoap/1177004904
发表日期：
1994
页码：
1083-1097
关键词：
摘要：
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.