A Frequency Matching Method: Solving Inverse Problems by Use of Geologically Realistic Prior InformationReport as inadecuate




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Mathematical Geosciences

, Volume 44, Issue 7, pp 783–803

First Online: 22 September 2012Received: 03 February 2012Accepted: 16 July 2012

Abstract

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.

KeywordsGeostatistics Multiple point statistics Training image Maximum a posteriori solution  Download fulltext PDF



Author: Katrine Lange - Jan Frydendall - Knud Skou Cordua - Thomas Mejer Hansen - Yulia Melnikova - Klaus Mosegaard

Source: https://link.springer.com/







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