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SUMMARY:Non-periodic homogenization for seismic forward and inverse proble
 ms - Yann  Capdeville (CNRS (Centre national de la recherche scientifique)
 \; Université de Nantes)
DTSTART:20160413T133000Z
DTEND:20160413T143000Z
UID:TALK65460@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The modeling of seismic elastic wave full waveform in a limite
 d frequency band is now well established with a set of efficient numerical
  methods like the spectral element\, the discontinuous Galerking or the fi
 nite difference methods. The constant increase of computing power with tim
 e has now allow the use of seismic elastic wave full waveforms in a limite
 d frequency band to image the elastic properties of the earth. Nevertheles
 s\, inhomogeneities of scale much smaller the minimum wavelength of the wa
 vefield associated to the maximum frequency of the limited frequency band\
 , are still a challenge for both forward and inverse problems. In this wor
 k\, we tackle the problem of elastic properties and topography varying muc
 h faster than the minimum wavelength. Using a non periodic homogenization 
 theory and a matching asymptotic technique\, we show how to compute effect
 ive elastic properties and local correctors and how to remove the fast var
 iation of the topography. The implications on the homogenization theory on
  the inverse problem will be presented.
LOCATION:Seminar Room 2\, Newton Institute
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