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提出一种新的基于整体迭代修正的核磁共振(NMR)驰豫信号多指数反演方法,并对新方法的具体实现过程和应用效果进行了详细讨论。通过算例,对新方法和基于奇异值分解的MAP-Ⅱ算法反演结果进行了对比,分别给出不同布点方式以及不同信噪比下NMR横向和纵向弛豫信号的多指数反演结果。结果表明,在16～64点对数均匀布点时,新方法明显优于MAP-Ⅱ,特别是在信噪比较低的情况下,仍然能保证弛豫谱的真实性,该方法可应用于岩心NMR实验分析以及NMR测井资料解释处理。
A new multi-exponential inversion method of nuclear magnetic resonance (NMR) relaxation signal based on global iterative correction is proposed. The realization process and application effect of the new method are discussed in detail. A numerical example is given to compare the inversion results of the new method and the MAP-Ⅱ algorithm based on the singular value decomposition. The multi-index inversion results of the transverse and longitudinal relaxation signals under different locations and SNRs are given respectively. The results show that the new method is obviously better than MAP-Ⅱ when the logarithm is distributed evenly between 16 and 64 points, especially when the signal-to-noise ratio is low, which can still guarantee the authenticity of the relaxation spectrum. This method can be applied to Core NMR experimental analysis and interpretation of NMR log data processing.