Multi-scale structured imaging using wave packets and prolate spheroidal wave functions

Summary, in English

Imaging and inverse scattering of seismic reflection data can be formulated in terms of a certain class of Fourier integral operators. We present an approximation and discretization of such operators following a multiscale approach, based on wave packets as the quanta for representing seismic data. One of the key ingredients in our approach is the coupling of dyadic parabolic decomposition and prolate spheroidal wave functions. As an example, we detail our method for parametrices of evolution equations, and obtain a onestep algorithm wave- equation for imaging and inverse scattering, time and depth extrapolation, velocity continuation, and extended imaging

• Författare: Herwig Wendt; Maarten V. de Hoop; Fredrik Andersson; Anton A. Duchkov
• Avdelning/ar: Matematik LTH; ELLIIT: the Linköping-Lund initiative on IT and mobile communication
• Publiceringsår: 2010
• Språk: Engelska
• Sidor: 3359-3363
• Publikation/Tidskrift/Serie: SEG Technical Program Expanded Abstracts
• Volym: 29
• Issue: 1
• Länkar: http://dx.doi.org/10.1190/1.3513546
• Dokumenttyp: Konferensbidrag
• Förlag: SEG
• Ämne: Mathematics
• Nyckelord: migration; imaging; wave propagation
• Status: Published
• Forskningsgrupp: Harmonic Analysis and Applications
• ISBN/ISSN/Övrigt: ISSN: 1052-3812