A Frequency Matching Method: Solving Inverse Problems by Use of Geologically Realistic Prior Information
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...
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Veröffentlicht in: | Mathematical geosciences 2012-10, Vol.44 (7), p.783-803 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | 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. |
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ISSN: | 1874-8961 1874-8953 |
DOI: | 10.1007/s11004-012-9417-2 |