NDLI: A Trade-Off Solution between Model Resolution and Covariance in Surface-Wave Inversion

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A Trade-Off Solution between Model Resolution and Covariance in Surface-Wave Inversion

Content Provider	Springer Nature Link
Author	Xia, Jianghai Xu, Yixian Miller, Richard D. Zeng, Chong
Copyright Year	2010
Abstract	Regularization is necessary for inversion of ill-posed geophysical problems. Appraisal of inverse models is essential for meaningful interpretation of these models. Because uncertainties are associated with regularization parameters, extra conditions are usually required to determine proper parameters for assessing inverse models. Commonly used techniques for assessment of a geophysical inverse model derived (generally iteratively) from a linear system are based on calculating the model resolution and the model covariance matrices. Because the model resolution and the model covariance matrices of the regularized solutions are controlled by the regularization parameter, direct assessment of inverse models using only the covariance matrix may provide incorrect results. To assess an inverted model, we use the concept of a trade-off between model resolution and covariance to find a proper regularization parameter with singular values calculated in the last iteration. We plot the singular values from large to small to form a singular value plot. A proper regularization parameter is normally the first singular value that approaches zero in the plot. With this regularization parameter, we obtain a trade-off solution between model resolution and model covariance in the vicinity of a regularized solution. The unit covariance matrix can then be used to calculate error bars of the inverse model at a resolution level determined by the regularization parameter. We demonstrate this approach with both synthetic and real surface-wave data.
Starting Page	1537
Ending Page	1547
Page Count	11
File Format	PDF
ISSN	00334553
Journal	Pure and applied geophysics
Volume Number	167
Issue Number	12
e-ISSN	14209136
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2010-03-16
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Model resolution matrix Model covariance matrix Model assessment Singular values Trade-off solution Geophysics/Geodesy
Content Type	Text
Resource Type	Article
Subject	Geochemistry and Petrology Geophysics

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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