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Study on the Inversion Algorithm of Nuclear Magnetic Resonance Transverse-relaxation Distribution

Author: ChenYuan
Tutor: KongLi
School: Huazhong University of Science and Technology
Course: Detection Technology and Automation
Keywords: NMR logging T2 spectrum distribution Inversion Iteration
CLC: P631.81
Type: Master's thesis
Year: 2009
Downloads: 142
Quote: 0
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Abstract


Today in the development of nuclear magnetic resonance logging , the static magnetic field and an alternating electromagnetic field interactions strongly non- uniformity of the environment has been unanimously approved , so the growing number of NMR logging technology popularization and application in this background . Papers based on logging echo train signal detection and acquisition - based NMR echo signal , multi-exponential relaxation spectrum inversion mathematical model . The size of the model depends on the echo train sampling time , and the distribution of the number of deployments , usually the former than the latter , and therefore the solution spectrum equation is ill-posed , another unavoidable random noise will produce the original solution spectrum model impact. Incorporated SNR truncating singular matrix in a conventional singular value decomposition method , so the size of the matrix of singular adjusted automatically with the SNR , to thereby obtain a higher resolution, more stable solution . And iterative computation of the inversion results , so as to meet the non- negative constraints restrict fluid solution spectrum . Non - negative least square method improved by adding a penalty term to meet the error iterative Tikhonov regularization principle to obtain the initial solution to improve the computation accuracy of the inversion algorithm . Nonlinear operator thought the introduction of the new algorithm on the basis of improving the traditional algorithm , combined , in the search for the optimal solution with the true solution to the minimum error , linear processing and iterative correction operator . The new algorithm with traditional algorithm inversion results were compared , to prove that it can get more continuous real spectrum distribution , which better reflects the relaxation of pore fluid characteristics and mode of occurrence . Another new algorithm of the inversion problem specific parameters such as: the adaptability of the algorithm on the signal-to-noise ratio , layout mode , the number of deployments were specific analysis.

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