Linearized inverse scattering based on seismic Reverse Time Migration
Analysis of PDEs
2011-01-24 v2 Mathematical Physics
math.MP
Abstract
In this paper we study the linearized inverse problem associated with imaging of reflection seismic data. We introduce an inverse scattering transform derived from reverse-time migration (RTM). In the process, the explicit evaluation of the so-called normal operator is avoided, while other differential and pseudodifferential operator factors are introduced. We prove that, under certain conditions, the transform yields a partial inverse, and support this with numerical simulations. In addition, we explain the recently discussed 'low-frequency artifacts' in RTM, which are naturally removed by the new method.
Cite
@article{arxiv.1012.4278,
title = {Linearized inverse scattering based on seismic Reverse Time Migration},
author = {Tim J. P. M. Op 't Root and Christiaan C. Stolk and Maarten V. de Hoop},
journal= {arXiv preprint arXiv:1012.4278},
year = {2011}
}