### Position tomography and seismic inversion

**Symes, W ***(Rice University)*

Friday 16 December 2011, 16:30-17:00

Seminar Room 1, Newton Institute

#### Abstract

Active source seismic data may depend on more parameters than the spatial dimension of the earth model, and thus must satisfy some internal consistency conditions. Membership in the kernel of an annihilation operator provides one useful way to express these conditions. For linearized data simulation with smooth reference model, annihilators may belong to well-studied classes of oscillatory integral operators, which have rich geometric structure. I will describe generally how annihilators arise and lead to inversion algorithms, and specifically how space-shift annihilators and associated position tomography problems may be used to determine the reference model in the linearized description of reflected waveform inversion.

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