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Permanent link (DOI): https://doi.org/10.7939/R3MS9S

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Regularization of the AVO inverse problem by means of a multivariate Cauchy probability distribution Open Access

Descriptions

Other title
Subject/Keyword
Regularization
AVO inversion
AVO
Multivariate Cauchy
Trivariate Cauchy
Bivariate Cauchy
Bayesian inversion
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Alemie, Wubshet M.
Supervisor and department
Sacchi, Mauricio (Physics)
Examining committee member and department
Gu, Jeff (Physics)
Leuangthong, Oy (Engineering)
Kravchinsky, Vadim (Physics)
Department
Department of Physics
Specialization

Date accepted
2010-01-08T16:31:46Z
Graduation date
2010-06
Degree
Master of Science
Degree level
Master's
Abstract
Amplitude Variation with O set (AVO) inversion is one of the techniques that is being used to estimate subsurface physical parameters such as P-wave velocity, S-wave velocity, and density or their attributes. AVO inversion is an ill-conditioned problem which has to be regularized in order to obtain a stable and unique solution. In this thesis, a Bayesian procedure that uses a Multivariate Cauchy distribution as a prior probability distribution is introduced. The prior includes a scale matrix that imposes correlation among the AVO attributes and induces a regularization that provokes solutions that are sparse and stable in the presence of noise. The performance of this regularization is demonstrated by both synthetic and real data examples using linearized approximations to the Zoeppritz equations.
Language
English
DOI
doi:10.7939/R3MS9S
Rights
License granted by Wubshet Alemie (alemie@ualberta.ca) on 2010-01-08 (GMT): Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of the above terms. The author reserves all other publication and other rights in association with the copyright in the thesis, and except as herein provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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File title: Regularization of the AVO inverse problem by means of a multivariate Cauchy probability distribution, MSc Thesis
File author: Wubshet M. Alemie
Page count: 101
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