Superstatistics model for T_2 distribution in NMR experiments on porous media

摘要

We propose analytical functions for T_2 distribution to describe transverse relaxation in high- and lowfields NMR experiments on porous media. The method is based on a superstatistics theory, and allows to find the mean and standard deviation of T_2, directly from measurements. It is an alternative to multiexponential models for data decay inversion in NMR experiments. We exemplify the method with qexponential functions and χ~2-distributions to describe, respectively, data decay and T_2 distribution on high-field experiments of fully water saturated glass microspheres bed packs, sedimentary rocks from outcrop and noisy low-field experiment on rocks. The method is general and can also be applied to biological systems.