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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On the Inverse Problem of Seismic Imaging: A Mathe
matical View on Full Waveform Inversion - Andreas
Rieder (Karlsruhe Institute of Technology (KIT))
DTSTART;TZID=Europe/London:20230330T145000
DTEND;TZID=Europe/London:20230330T154000
UID:TALK198274AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/198274
DESCRIPTION:\nTime-domain full waveform inversion (FWI) is the
up-to-date geophysical imaging technique being ca
pable to exploit the full information content of r
ecorded seismic waves which have been excited loca
lly by controlled sources or globally by earthquak
es. Mathematically\, FWI entails a parameter ident
ification task for the underlying wave propagation
model.\n \;\nIn this talk I will first model
wave propagation in dispersive media by the viscoe
lastic wave equation and introduce the resulting n
onlinear and ill-posed inverse problem. Further\,
I will shortly present some of the research on the
Mathematics of FWI done within our Collaborative
Research Center "Wave Phenomena". In the second pa
rt of the talk we will have a closer look to FWI i
n the acoustic regime. Here\, we validate the tang
ential 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 import
ant ingredient in the convergence analysis of a va
riety of inversion algorithms for nonlinear ill-po
sed problems\, such as FWI.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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