核磁共振二维谱反演技术综述

二维谱的出现是核磁共振（NMR）检测技术的一次飞跃，从二维谱中可以快速、精确地对不同组分进行区分，因而在测录井和常规实验中被广泛采用. 为了给相关研究提供借鉴和参考，推动二维反演技术的发展，该文对近年来国内外在核磁共振二维谱反演技术领域的研究进展进行了综述. 从实验采集数据中反演出二维谱的过程，比一维反演需要解决更多、更复杂的问题. 通过研究罚函数正则化和子空间正则化两大类方法，分析了不同二维反演算法的优点和不足. 根据对近年来国内外相关文献的深入分析可知，虽说目前已有的二维反演算法都存在一定的局限性，但其仍然具有很大的发展空间.

A Review on the Inversion Methods in 2D NMR

Two-dimensional (2D) NMR parameter maps are widely used in NMR-based well logging and conventional NMR experiments to distinguish different components in mixtures. In recent years, much research efforts were dedicated to develop inversion algorithms that could convert raw experimental data into 2D NMR maps. This paper reviews the recent progresses in this area of research. The methodological complexity of 2D inversion, relative to 1D inversion, was discussed. There are two major approaches for 2D inversion: regularization using penalty terms and regularizing in subspace. The advantages and disadvantages of the approaches were analyzed. It is concluded that all the existing 2D inversion algorithms have limitations such that further development are needed.