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# Simultaneous least squares deconvolution and kriging using conjugate gradients

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 dc.contributor.author Kane, Jonathan dc.contributor.author Rodi, William dc.contributor.author Toksoz, M. Nafi dc.contributor.other Massachusetts Institute of Technology. Earth Resources Laboratory en_US dc.date.accessioned 2012-01-17T17:53:15Z dc.date.available 2012-01-17T17:53:15Z dc.date.issued 2001 dc.identifier.uri http://hdl.handle.net/1721.1/68600 dc.description.abstract Least squares deconvolution is a method used to sharpen tomographic images of the earth by undoing the bandlimiting effects imposed by a seismic wavelet. Kriging is a method used by geoscientists to extrapolate and interpolate sparse data sets. These two methodologies have traditionally been kept separate and viewed as unrelated fields of research. We demonstrate the connection between these methods by deriving them both as examples of linear inversion. By posing the methods in this way we can define a joint inverse problem in which observed values of reflectivity in wells are used to improve deconvolution, and, conversely, seismic data is used to help extrapolate well data. en_US Solving this joint problem involves the solution of large sparse sets of linear equations. Due to the structure of the problem, the conjugate gradients method is ideal to perform the solution. Preliminary results show that convergence to a solution for a 3-D problem is fast and accurate, requiring only a few iterations. This methodology can be of great use to interpreters by sharpening the post stack image as well as helping to tie seismic data to wells. dc.publisher Massachusetts Institute of Technology. Earth Resources Laboratory en_US dc.relation.ispartofseries Earth Resources Laboratory Industry Consortia Annual Report;2001-04 dc.subject Inversion dc.title Simultaneous least squares deconvolution and kriging using conjugate gradients en_US dc.type Technical Report en_US dc.contributor.mitauthor Kane, Jonathan dc.contributor.mitauthor Rodi, William dc.contributor.mitauthor Toksoz, M. Nafi dspace.orderedauthors Kane, Jonathan; Rodi, William; Toksoz, M. Nafi en_US
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