Inversion of multichannel geophysical data with projected kernels

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Abstract

Statistical de‐noising methods such as Principal Component Analysis modify data in a way not constrained by physics. In much the same way as frequency‐filtered data must incorporate altered frequency content into numerical interpretation, so must statistically rotated data include the rotation operator in inversion processes. We propose a method of accounting for statistical reduction of data in non‐linear inversions (such as for electromagnetic data) through an incorporation of the rotation operator into the kernels and sensitivity matrix. We show a generalized linear inversion to demonstrate the necessity of rotating the inversion kernels in this abstract and will present a nonlinear parametric example from an unexploded ordnance application.

Additional publication details

Publication type Conference Paper
Publication Subtype Conference Paper
Title Inversion of multichannel geophysical data with projected kernels
DOI 10.1190/1.3255124
Year Published 2009
Language English
Publisher Society of Exploration Geophysicists
Contributing office(s) Crustal Geophysics and Geochemistry Science Center
Description 5 p.
Larger Work Type Book
Larger Work Subtype Conference publication
Larger Work Title SEG technical program expanded abstracts 2009
First page 1459
Last page 1463
Conference Title SEG Houston 2009 International Exposition and Annual Meeting
Conference Location Houston, TX
Conference Date October 25-30, 2009