测井技术2024,Vol.48Issue(1) :8-18,66.DOI:10.16489/j.issn.1004-1338.2024.01.002

非负约束修正阻尼算法求解核磁共振测井T2谱反演问题

Modified Non-Negative Constraint Damping Method for T2 Spectrum Inversion of Nuclear Magnetic Resonance

雷欣 廖昕凯 廖丽丹
测井技术2024,Vol.48Issue(1) :8-18,66.DOI:10.16489/j.issn.1004-1338.2024.01.002

非负约束修正阻尼算法求解核磁共振测井T2谱反演问题

Modified Non-Negative Constraint Damping Method for T2 Spectrum Inversion of Nuclear Magnetic Resonance

雷欣 1廖昕凯 1廖丽丹1
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作者信息

  • 1. 南昌大学数学与计算机学院,江西南昌 330031
  • 折叠

摘要

为了优化核磁共振测井技术,加快核磁共振测井数据处理速度,提出了一类非负约束修正阻尼算法求解核磁共振T2谱反演问题.通过数学建模及理论推导,证明该算法可以更好地保留T2谱的有效信息,同时也能更有效地减少反演问题的噪声对解的影响.数值算例表明新算法相较于修正的截断奇异值算法和阻尼算法具有更好、更稳定的反演效果,尤其是低信噪比情况下新算法的优势更加明显,可以进一步优化核磁共振测井技术.

Abstract

In order to optimize nuclear magnetic resonance (NMR) logging technology and accelerate the processing speed of NMR logging data, a class of non-negative constraint modified damping algorithm is proposed to solve the NMR T2 spectral inversion problem. Through mathematical modeling and theoretical deduction, it is proved that the algorithm can retain the effective information of T2 spectrum better, and reduce the influence of noise on the solution of inversion problem more effectively. Numerical examples show that the new algorithm has better and more stable inversion effect than the modified truncated singular value decomposition method and damping method, especially in the case of low signal-to-noise ratio, the new algorithm has more obvious advantages, and can further optimize the NMR logging technology.

关键词

核磁共振/阻尼算法/奇异值分解/T2谱反演/非负约束

Key words

nuclear magnetic resonance (NMR)/damping method/singular value decomposition/T2 spectrum inversion/non-negative constraint

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基金项目

国家自然科学基金(11901278)

江西省自然科学基金(20202BAB211002)

江西省自然科学基金(20232BAB201018)

中国高教学会高等教育科研规划课题(22SX0409)

出版年

2024
测井技术
中国石油集团测井有限公司

测井技术

CSTPCD
影响因子:0.699
ISSN:1004-1338
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