Mathematics – Analysis of PDEs
Scientific paper
2010-12-20
Mathematics
Analysis of PDEs
Scientific paper
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.
't Root Tim J. P. M. Op
de Hoop Maarten V.
Stolk Christiaan C.
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