An Inversion of NMR Echo Data Based on a Normalized Iterative Hard Thresholding Algorithm

The inversion of nuclear magnetic resonance (NMR) echo data requires solving the discrete Fredholm integral equation of the first kind, which is an ill-posed problem. In this letter, a surrogate objective function of an NMR inversion without an explicit regularization term based on least-squares fit...

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Bibliographic Details
Published in:	IEEE geoscience and remote sensing letters Vol. 15; no. 9; pp. 1332 - 1336
Main Authors:	Guo, Jiangfeng, Xie, Ranhong
Format:	Journal Article
Language:	English
Published:	Piscataway IEEE 01.09.2018 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">T ₂ spectra Algorithms Computer simulation Data Decomposition Echoes Fredholm equations Histograms Ill posed problems Integral equations Inversion Iterative algorithms Iterative methods Least squares Linear programming Magnetic resonance Mathematical models NMR normalized iterative hard thresholding algorithm Nuclear magnetic resonance nuclear magnetic resonance (NMR) Numerical simulations Objective function Regularization Relaxation time Reservoirs Sandstone Sedimentary rocks Signal to noise ratio Singular value decomposition Spectra
ISSN:	1545-598X, 1558-0571
Online Access:	Get full text
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