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Multifractional splines: from seismic singularities to geological transitions

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dc.contributor.author de Hoop, Martijn V.
dc.contributor.author Herrmann, Felix
dc.contributor.other Massachusetts Institute of Technology. Earth Resources Laboratory en_US
dc.date.accessioned 2011-12-21T19:07:17Z
dc.date.available 2011-12-21T19:07:17Z
dc.date.issued 2002
dc.identifier.uri http://hdl.handle.net/1721.1/67849
dc.description.abstract A matching pursuit technique in conjunction with an imaging method is used to obtain quantitative information on geological records from seismic data. The technique is based on a greedy, non-linear search algorithm decomposing data into atoms. These atoms are drawn from a redundant dictionary of seismic waveforms. Fractional splines are used to define this dictionary, whose elements are not only designed to match the observed waveforms but also to span the appropriate family of geological patterns. Consequently, the atom’s parameterization provides localized scale, order and direction information that reveals the stratigraphy and the type of geological transitions. Besides a localized scaling characterization, the atomic decomposition allows for an accurate denoised reconstruction of data with only a small number of atoms. Application of this approach to angles gathers allows us to track geological singularities from seismic data. Our characterization bridges the gap between the analysis of the main features within geologic processes, i.e. the geologic patterns, and the interpretation of their associated seismic response. A case study of Valhall data is presented. en_US
dc.description.sponsorship Massachusetts Institute of Technology. Earth Resources Laboratory en_US
dc.publisher Massachusetts Institute of Technology. Earth Resources Laboratory en_US
dc.relation.ispartofseries Earth Resources Laboratory Industry Consortia Annual Report;2002-10
dc.title Multifractional splines: from seismic singularities to geological transitions en_US
dc.type Technical Report en_US
dc.contributor.mitauthor de Hoop, Martijn V.
dc.contributor.mitauthor Herrmann, Felix
dspace.orderedauthors Herrmann, Felix; de Hoop, Martijn V. en_US


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