Study of the Algorithm for Inversion of Low Field Nuclear Magnetic Resonance Relaxation Distribution_Journal of Biomedical Engineering

Authors：

 CHENShanshan ^1,3 , WANGHongzhi ^1,3 , YANGPeiqiang ² , ZHANGXuelong ^1,3

1. Shanghai Medical Instrumentation College, Shanghai 200093, China;
2. Shanghai Niumag Electronic Technology Plant Ltd, Shanghai 200333, China;
3. Niumag-Smic NMR Analyzing and Testing center, Shanghai 200093, China;

Corresponding author：

CHENShanshan, Email: chenss@smic.edu.cn

Keywords：

nuclear magnetic resonance; relaxation spectrum; inversion; regularization

DOI：

10.7507/1001-5515.20140127

Video：

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Abstract Full text Figures/Tables Video References Cited by

It is difficult to reflect the properties of samples from the signal directly collected by the low field nuclear magnetic resonance (NMR) analyzer. People must obtain the relationship between the relaxation time and the original signal amplitude of every relaxation component by inversion algorithm. Consequently, the technology of T2 spectrum inversion is crucial to the application of NMR data. This study optimized the regularization factor selection method and presented the regularization algorithm for inversion of low field NMR relaxation distribution, which is based on the regularization theory of ill-posed inverse problem. The results of numerical simulation experiments by Matlab7.0 showed that this method could effectively analyze and process the NMR relaxation data.

Citation： CHENShanshan, WANGHongzhi, YANGPeiqiang, ZHANGXuelong. Study of the Algorithm for Inversion of Low Field Nuclear Magnetic Resonance Relaxation Distribution. Journal of Biomedical Engineering, 2014, 31(3): 682-685,713. doi: 10.7507/1001-5515.20140127 Copy

1.	肖立志.核磁共振成像测井与岩石核磁共振及其应用[M].北京:科学出版社,1998.
2.	王为民,李培,叶朝辉.核磁共振弛豫信号的多指数反演[J].中国科学A辑,2001,31(8):730-736.
3.	WHITTALL K P, MACKAY A L. Quantitative interpretation of NMR relaxation data[J]. J Magn Reson, 1989, 84(1):134-152.
4.	BORGIA G C, BROWN R J, FANTAZZINI P. Uniform-penalty inversion of multiexponential decay data. Ⅱ. Data spacing, T(2) data, systemic data errors, and diagnostics[J]. J Magn Reson, 2000, 147(2):273-285.
5.	PARKER R L, SONG Y Q. Assigning uncertainties in the inversion of NMR relaxation data[J]. J Magn Reson, 2005, 174(2):314-324.
6.	MOHNKE O, YARAMANCI U. Pore size distributions and hydraulic conductivities of rocks derived from Magnetic Resonance Sounding relaxation data using multi-exponential decay time inversion[J]. J Appl Geophys, 2008, 66(3-4):73-81.
7.	GHOSH S, KEENER K M, PAN Y. A simulation based method to assess inversion algorithms for transverse relaxation data[J]. J Magn Reson, 2008, 191(2):226-230.
8.	NOVIKOV D S, KISELEV V G. Transverse NMR relaxation in magnetically heterogeneous media[J]. J Magn Reson, 2008, 195(1):33-39.
9.	PRANGE M, SONG Y Q. Understanding NMR T(2) spectral uncertainty[J]. J Magn Reson, 2010, 204(1):118-123.
10.	翁爱华,李舟波,王雪秋.核磁测井数据弛豫谱反演软件研究[J].长春科技大学学报,2001,31(4):395-397,403.
11.	姚绪刚,王忠东.一种新的核磁共振弛豫谱反演算法[J].测井技术,2003,27(5):373-376,445.
12.	XIAO L Z, WANG Z D, LIU T Y. Application of multi-exponential inversion method to NMR measurements[J]. Petrol Sci, 2004, 1(1):20-22.
13.	王鹤,李鲠颖.反演与拟合相结合处理核磁共振弛豫数据的方法[J].物理学报,2005,54(3):1431-1436.
14.	姜瑞忠,姚彦平,苗盛,等.核磁共振T₂谱奇异值分解反演改进算法[J].石油学报,2005,26(6):57-59.
15.	赵烈加,刘卫,陈小华,等.基于L曲线准则的T₂谱反演算法研究[J].石油天然气学报,2007,29(6):82-86.
16.	谭茂金,石耀霖,谢关宝.基于遗传算法的核磁共振T₂分布反演[J].测井技术,2007,31(5):413-416.
17.	林峰,王祝文,刘菁华,等.核磁共振T₂谱奇异值反演改进算法[J].吉林大学学报(地球科学版),2009,39(6):1150-1155.
18.	苏俊磊,孙建孟,张守伟.核磁共振弛豫信号的多指数反演及应用[J].石油天然气学报,2010,32(6):87-91,529.
19.	李鹏举,姜大鹏,李鹏飞,等.核磁共振T₂谱M-P广义逆反演研究[J]. 吉林大学学报地球科学版,2011,41(2):579-585.
20.	LIN F, Wang Z W, LI J Y,et al. Study on algorithms of low SNR inversion of T₂ spectrum in NMR[J]. Appl Geophys, 2011, 8(3):233-238.
21.	寿国法.生物医学电磁正反问题数值计算方法研究[D].杭州:浙江大学,2009.
22.	汪红志,张学龙,武杰.核磁共振成像技术实验教程[M].北京:科学出版社,2008.

1. 肖立志.核磁共振成像测井与岩石核磁共振及其应用[M].北京:科学出版社,1998.
2. 王为民,李培,叶朝辉.核磁共振弛豫信号的多指数反演[J].中国科学A辑,2001,31(8):730-736.
3. WHITTALL K P, MACKAY A L. Quantitative interpretation of NMR relaxation data[J]. J Magn Reson, 1989, 84(1):134-152.
4. BORGIA G C, BROWN R J, FANTAZZINI P. Uniform-penalty inversion of multiexponential decay data. Ⅱ. Data spacing, T(2) data, systemic data errors, and diagnostics[J]. J Magn Reson, 2000, 147(2):273-285.
5. PARKER R L, SONG Y Q. Assigning uncertainties in the inversion of NMR relaxation data[J]. J Magn Reson, 2005, 174(2):314-324.
6. MOHNKE O, YARAMANCI U. Pore size distributions and hydraulic conductivities of rocks derived from Magnetic Resonance Sounding relaxation data using multi-exponential decay time inversion[J]. J Appl Geophys, 2008, 66(3-4):73-81.
7. GHOSH S, KEENER K M, PAN Y. A simulation based method to assess inversion algorithms for transverse relaxation data[J]. J Magn Reson, 2008, 191(2):226-230.
8. NOVIKOV D S, KISELEV V G. Transverse NMR relaxation in magnetically heterogeneous media[J]. J Magn Reson, 2008, 195(1):33-39.
9. PRANGE M, SONG Y Q. Understanding NMR T(2) spectral uncertainty[J]. J Magn Reson, 2010, 204(1):118-123.
10. 翁爱华,李舟波,王雪秋.核磁测井数据弛豫谱反演软件研究[J].长春科技大学学报,2001,31(4):395-397,403.
11. 姚绪刚,王忠东.一种新的核磁共振弛豫谱反演算法[J].测井技术,2003,27(5):373-376,445.
12. XIAO L Z, WANG Z D, LIU T Y. Application of multi-exponential inversion method to NMR measurements[J]. Petrol Sci, 2004, 1(1):20-22.
13. 王鹤,李鲠颖.反演与拟合相结合处理核磁共振弛豫数据的方法[J].物理学报,2005,54(3):1431-1436.
14. 姜瑞忠,姚彦平,苗盛,等.核磁共振T₂谱奇异值分解反演改进算法[J].石油学报,2005,26(6):57-59.
15. 赵烈加,刘卫,陈小华,等.基于L曲线准则的T₂谱反演算法研究[J].石油天然气学报,2007,29(6):82-86.
16. 谭茂金,石耀霖,谢关宝.基于遗传算法的核磁共振T₂分布反演[J].测井技术,2007,31(5):413-416.
17. 林峰,王祝文,刘菁华,等.核磁共振T₂谱奇异值反演改进算法[J].吉林大学学报(地球科学版),2009,39(6):1150-1155.
18. 苏俊磊,孙建孟,张守伟.核磁共振弛豫信号的多指数反演及应用[J].石油天然气学报,2010,32(6):87-91,529.
19. 李鹏举,姜大鹏,李鹏飞,等.核磁共振T₂谱M-P广义逆反演研究[J]. 吉林大学学报地球科学版,2011,41(2):579-585.
20. LIN F, Wang Z W, LI J Y,et al. Study on algorithms of low SNR inversion of T₂ spectrum in NMR[J]. Appl Geophys, 2011, 8(3):233-238.
21. 寿国法.生物医学电磁正反问题数值计算方法研究[D].杭州:浙江大学,2009.
22. 汪红志,张学龙,武杰.核磁共振成像技术实验教程[M].北京:科学出版社,2008.

Journal of Biomedical Engineering

Study of the Algorithm for Inversion of Low Field Nuclear Magnetic Resonance Relaxation Distribution

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