A Frequency Matching Method: Solving Inverse Problems by Use of Geologically Realistic Prior Information

Publication: Research - peer-reviewJournal article – Annual report year: 2012

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The frequency matching method defines a closed form expression for a complex prior that quantifies the higher order statistics of a proposed solution model to an inverse problem. While existing solution methods to inverse problems are capable of sampling the solution space while taking into account arbitrarily complex a priori information defined by sample algorithms, it is not possible to directly compute the maximum a posteriori model, as the prior probability of a solution model cannot be expressed. We demonstrate how the frequency matching method enables us to compute the maximum a posteriori solution model to an inverse problem by using a priori information based on multiple point statistics learned from training images. We demonstrate the applicability of the suggested method on a synthetic tomographic crosshole inverse problem.
Original languageEnglish
JournalMathematical Geosciences
Publication date2012
Volume44
Issue7
Pages783-803
ISSN1874-8961
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 4

Keywords

  • Geostatistics, Multiple point statistics, Training image, Maximum a posteriori solution
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