Solution Appraisal in Non-Linear Inversion
Published:January 01, 1995
An inversion process is incomplete without an analysis of the errors in the constructed solutions. When dealing with inexact experimental data, a fundamental task is the determination of how close to the truth (if there is one !) or how representative of the real world our inverse solution is. To shed some light on this issue, we will examine how the experimental errors translate into errors in the model estimates and use the well developed tools of linear appraisal (Section 6) to estimate approximate reliability of the non-linear solutions.
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Geophysical Data Analysis: Understanding Inverse Problem Theory and Practice
“This publication is designed to provide a practical understanding of leastsquares methods of parameter estimation and uncertainty analysis. The practical problems covered range from simple processing of time- and space-series data to inversion of potential field, seismic, electrical, and electromagnetic data. The various formulations are reconciled with field data in the numerous examples provided in the book; well-documented computer programs are also given to show how easy it is to implement inversion algorithms.”