Journal article
A Frequency Matching Method: Solving Inverse Problems by Use of Geologically Realistic Prior Information
Center for Energy Resources Engineering, Centers, Technical University of Denmark1
Department of Informatics and Mathematical Modeling, Technical University of Denmark2
Scientific Computing, Department of Informatics and Mathematical Modeling, Technical University of Denmark3
CERE – Center for Energy Ressources Engineering, Department of Chemical and Biochemical Engineering, Technical University of Denmark4
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.
Language: | English |
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Publisher: | Springer-Verlag |
Year: | 2012 |
Pages: | 783-803 |
ISSN: | 18748953 and 18748961 |
Types: | Journal article |
DOI: | 10.1007/s11004-012-9417-2 |
ORCIDs: | 0000-0003-4529-0112 |