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arxiv: 1012.4278 · v2 · pith:FJ7H5CXCnew · submitted 2010-12-20 · 🧮 math.AP · math-ph· math.MP

Linearized inverse scattering based on seismic Reverse Time Migration

classification 🧮 math.AP math-phmath.MP
keywords inverselinearizedmigrationoperatorscatteringseismictransformaddition
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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.

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