Superstatistics model for T2 distribution in NMR experiments on porous media

[Display omitted] •Analytical function for T2 distribution on porous media.•Non-linear model for NMR transverse relaxation decay based in superstatistics.•Solution of non-linear least-square problem without regularization.•Model decay applicable to high- and low-field experiments on porous media.•Possible prediction of cutoffs parameters on NMR petrophysics. We propose analytical functions for T2 distribution to describe transverse relaxation in high- and low-fields NMR experiments on porous media. The method is based on a superstatistics theory, and allows to find the mean and standard deviation of T2, directly from measurements. It is an alternative to multiexponential models for data decay inversion in NMR experiments. We exemplify the method with q-exponential functions and χ2-distributions to describe, respectively, data decay and T2 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.