Nonlinear topics in the
Bayesian approach to inverse problems
with applications to seismic inversion

Dr. Ing. Thesis of Odd Kolbjørnsen
Department of Mathematical Sciences
Norwegian University of Science and Technology
May 2002

Introduction and fundamentals of inverse problems

Introduction	ps-file	gunzip-file	pdf-file
Fundamentals of inverse problems	ps-file	gunzip-file	pdf-file

Piecewise affine inverse problems

Bayesian inversion of piecewise affine operators in a Gaussian framework, with Henning Omre	Journal of Computational and Graphical Statistics; VOL.14. NO.1 (MARCH 2005); P.56-74
Geostatistical approach to event migration of seismic reflection times.	ps-file	gunzip-file	pdf-file
Case specific uncertainty assessment in cross well tomography	ps-file	gunzip-file	pdf-file

Inversion of seismic AVO data.

Cauchy prior for Bayesian linearized seismic AVO inversion.	ps-file	gunzip-file	pdf-file
Rapid spatially coupled AVO inversion in the Fourier domain, with Arild Buland and Henning Omre.	GEOPHYSICS; VOL.68 NO.3 (MAY-JUNE 2003); P.824-836

Presentations:

Presentation of thesis:
"Nonlinear topics in the Bayesian approach to inverse problems with applications to seismic inversion", Slides used for the thesis presentation
Assigned topic for the defence:
"Wavelets in an applied Perspective Mathematical Formulations and Statistical aspects",
Slides used for the assigned topic and References for the assigned topic (not updated since talk)

Funding:

My degree was funded by the Research Council of Norway

Odd Kolbjørnsen 12.06 - 2002.
Go back to hompepage Odd Kolbjørnsen <ok@math.ntnu.no>