J4 ›› 2009, Vol. 39 ›› Issue (6): 1150-1155.

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An Improved Algorithm for Singular Value Decomposition Inversion of |T2 Spectrum in Nuclear Magnetic Resonance

LIN Feng1,2, WANG Zhu-wen1|LIU Jing-hua1, DING Yang1, LI Chang-chun1,3   

  1. 1.College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China;2.Faculty of Science, Jilin Institute of Chemical Technology, Jilin, Jilin 132022, China;
    3.Department of Basic Science Jilin Teacher|Institute of Engineering and Technology, Changchun 130052, China
  • Received:2009-06-30 Online:2009-11-26 Published:2009-11-26

Abstract:

The SVD inversion algorithm was improved based on  analysis of the relationship between the optimum  number of singular value retained and SNR. A new iterative scheme was proposed to achieve the nonnegative constraint .The results of numerical simulations and application indicated that the improved SVD algorithm could adapt to low SNR (5<SNR<100) signal inversion and reduce the amount of computation greatly and keep the continuity of T2  spectrum. This algorithm can well meet the needs of NMR logging.

Key words: nuclear magnetic resonance, T2 spectrum, NMR logging, singular value decomposition, geophysical prospecting

CLC Number: 

  • P631.8
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