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SUMMARY:On the Inverse Problem of Seismic Imaging: A Mathematical View on 
 Full Waveform Inversion - Andreas Rieder (Karlsruhe Institute of Technolog
 y (KIT))
DTSTART:20230330T135000Z
DTEND:20230330T144000Z
UID:TALK198274@talks.cam.ac.uk
DESCRIPTION:\nTime-domain full waveform inversion (FWI) is the up-to-date 
 geophysical imaging technique being capable to exploit the full informatio
 n content of recorded seismic waves which have been excited locally by con
 trolled sources or globally by earthquakes. Mathematically\, FWI entails a
  parameter identification task for the underlying wave propagation model.\
 n&nbsp\;\nIn this talk I will first model wave propagation in dispersive m
 edia by the viscoelastic wave equation and introduce the resulting nonline
 ar and ill-posed inverse problem. Further\, I will shortly present some of
  the research on the Mathematics of FWI done within our Collaborative Rese
 arch Center "Wave Phenomena". In the second part of the talk we will have 
 a closer look to FWI in the acoustic regime. Here\, we validate the tangen
 tial cone condition (TCC) for the corresponding parameter-to-state map in 
 a semi-discrete setting where the searched-for parameters are restricted t
 o a finite dimensional space. The TCC is an important ingredient in the co
 nvergence analysis of a variety of inversion algorithms for nonlinear ill-
 posed problems\, such as FWI.\n
LOCATION:Seminar Room 1\, Newton Institute
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