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

作者:Lange Katrine*; Frydendall Jan; Cordua Knud Skou; Hansen Thomas Mejer; Melnikova Yulia; Mosegaard Klaus
来源:Mathematical Geosciences, 2012, 44(7): 783-803.
DOI:10.1007/s11004-012-9417-2

摘要

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.

  • 出版日期2012-10