An OMP-based T2spectrum estimation algorithm for NMR logging data

作者:Zhang Menglei; Huang Chunrong; Chen Jiayu; Li Feng; Duan Shihui; Ling Qiang
来源:29th Chinese Control and Decision Conference, CCDC 2017, 2017-05-28 To 2017-05-30.
DOI:10.1109/CCDC.2017.7979426

摘要

This paper proposes a T2spectrum estimation algorithm for low SNR nuclear magnetic resonance (NMR) logging data with strong Gaussian and/or non-Gaussian noise. It have two key contributions. The first contribution is the introduction of the Tikhonov regularization method which provides an initial feasible solution for the SVD non-negative iteration process and can improve the accuracy of the final solution under white Gaussian noise. The second contribution is the implementation of the orthogonal matching pursuit (OMP) algorithm which can calculate the range of the nonzero T2spectrum and can resolve the iteration divergence issue in the existence of non-Gaussian noise. To verify the effectiveness of our algorithm, multiple groups of NMR logging data are used to test its estimation performance. The estimation results confirm that our algorithm can yield good performance even under very low SNR.