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arXiv · 1101.0060

A general framework for waves in random media with long-range correlations

Renaud Marty·Knut Sølna
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Abstract

We consider waves propagating in a randomly layered medium with long-range correlations. An example of such a medium is studied in \citeMS and leads, in particular, to an asymptotic travel time described in terms of a fractional Brownian motion. Here we study the asymptotic transmitted pulse under very general assumptions on the long-range correlations. In the framework that we introduce in this paper, we prove in particular that the asymptotic time-shift can be described in terms of non-Gaussian and/or multifractal processes.

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Renaud Marty, Knut Sølna. 2010-12-30. A general framework for waves in random media with long-range correlations. https://doi.org/10.1214/10-aap689

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