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 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.
- A Frequency Matching Method: Solving Inverse Problems by Use of Geologically Realistic Prior Information
- Open Access
- Available under Open Access This content is freely available online to anyone, anywhere at any time.
Volume 44, Issue 7 , pp 783-803
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- Multiple point statistics
- Training image
- Maximum a posteriori solution
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- Author Affiliations
- 1. Center for Energy Resources Engineering, Department of Informatics and Mathematical Modeling, Technical University of Denmark, Richard Petersens Plads, Building 321, 2800, Kongens Lyngby, Denmark