Abstract
The accuracy of nuclear magnetic resonance (NMR) echo data inversion affects directly the interpretation results. In this study, we proposed a new inversion method of NMR echo data, which constrains the inversion solution using L0 norm. Due to no explicit regularization term of this method, we do not need select the regularization parameter during the inversion. And we compared the inversed T2 spectra from the proposed method with those from truncated singular value decomposition (TSVD) method and those of Tiknohov regularization method using numerical simulation experiment, and analyzed the effect of L0 norm value M on the inversed T2 spectra. The result showed that the proposed method is superior to the TSVD method and Tiknohov regularization method at low data signal-to-noise ratio (SNR), especially for short relaxation time, and M value should be set to equal the number of T2 component for one-dimensional NMR echo data inversion.
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