Material Property Estimation Using Nonlinear Inversion

  • William R. Petrick
  • Lee H. Pearson
Part of the Review of Progress in Quantitative Nondestructive Evaluation book series


Nonlinear inversion is the process of estimating material property values from a set of measured data. The map between the parameters and the measured data is a mathematical model. The specific mathematical model to be used in this study is the acoustic wave equation. This equation is linear in the field variable; however, it is nonlinear in the model parameter.


Initial Guess Layer Model Nonlinear Inversion Acoustic Wave Equation Parameter Confidence Interval 
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    Y. Bard, Nonlinear Parameter Estimation (Academic Press, Inc., 1974 ).MATHGoogle Scholar
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    W. Menke, Geophysical Data Analysis: Discrete Inverse Theory (Academic Press, Inc., 1984 ).Google Scholar
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    D. W. Marquardt, An Algorithm for Least Squares Estimation on Nonlinear Parameters, J. Soc. Ind. Appl. Math., 1963, No. 2, pp. 431–441.MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • William R. Petrick
    • 1
  • Lee H. Pearson
    • 1
  1. 1.Applied Research Department M/S 244Thiokol CorporationBrigham CityUSA

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