| 核磁共振T2谱M-P广义逆反演研究 |
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| 引用本文： | 李鹏举,姜大鹏,李鹏飞,宋延杰. 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 |
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| 作者姓名： | 李鹏举 姜大鹏 李鹏飞 宋延杰 |
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| 作者单位： | 东北石油大学地球科学学院,黑龙江大庆,163318;东北石油大学计算机与信息技术学院,黑龙江大庆,163318 |
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| 基金项目： | 中海油股份有限公司项目(JSKF2009YJ0007) |
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| 摘 要： | 基于广义逆和奇异值分解理论,研究核磁共振T2谱反演的截断法和阻尼法。首先给出反演问题的M-P广义逆解;然后对系数矩阵进行奇异值分解求其M-P广义逆,对奇异值进行截断或者加阻尼,保证解的稳定性兼顾其分辨率;最后利用迭代技术实现解的非负约束。数值仿真实验和岩心T2谱反演表明:对于双峰谱,在信噪比SNR≥10时,截断法和阻尼法反演T2谱的分辨率和稳定性都很高;截断法截断因子选择范围小,在SNR<10时解的分辨率和稳定性差;阻尼法阻尼因子选择范围大,在SNR<10时解的稳定性好,但短组分分辨率低,长组分分辨率高。对于三峰谱,当SNR≥20时,截断法和阻尼法反演的T2谱光滑连续,具有三峰结构;当SNR<20时两者均不能反演出与构造谱接近的三峰谱。因此,2种方法可应用于SNR≥10的双峰谱和SNR≥20的三峰谱反演;从分辨率和稳定性、平滑噪声及截断和阻尼因子的选取上,阻尼法略优于截断法。
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| 关 键 词： | 测井 核磁共振 M-P广义逆 奇异值分解 T2谱 反演 |
Study on the Inversion of NMR T_2 Spectrum with M-P Generalized Inversion |
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| LI Peng-ju,JIANG Da-peng,LI Peng-fei,SONG Yan-jie .College of Earth Sciences,Northeast Petroleum University,Daqing ,Heilongjiang,China .College of Computer , Information Technology,Heiliongjiang,China. Study on the Inversion of NMR T_2 Spectrum with M-P Generalized Inversion[J]. Journal of Jilin Unviersity:Earth Science Edition, 2011, 41(2): 579-585 |
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| Authors: | LI Peng-ju JIANG Da-peng LI Peng-fei SONG Yan-jie .College of Earth Sciences Northeast Petroleum University Daqing Heilongjiang China .College of Computer Information Technology Heiliongjiang China |
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| Affiliation: | LI Peng-ju1,JIANG Da-peng1,LI Peng-fei2,SONG Yan-jie1 1.College of Earth Sciences,Northeast Petroleum University,Daqing 163318,Heilongjiang,China 2.College of Computer and Information Technology,Heiliongjiang,China |
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| Abstract: | The authors discussed both the cutoff method and damping method for NMR T2 spectrum inversion,which are based on the theory of generalized inverse and singular value decomposition.At first,the solution of M-P generalized inverse of the inversion problem is presented.Then M-P generalized inverse of coefficient matrix is obtained by means of singular value decomposition.The stability and resolution of the solution are ensured by discarding some small singular values or adding damping term.Finally,the non-nega... |
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| Keywords: | well logging nuclear magnetic resonance(NMR) M-P generalized inverse singular value decomposition T2 spectrum inversion |
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