  A model linking the molecular-scale dynamics of fluids confined to nano-pores
to nuclear magnetic resonance (NMR) relaxation rates is proposed. The model is
fit to experimental NMR dispersions for water and oil in an oil shale assuming
that each fluid is characterised by three time constants and L\'{e}vy
statistics. Results yield meaningful and consistent intra-pore dynamical time
constants, insight into diffusion mechanisms and pore morphology. The model is
applicable to a wide range of porous systems and advances NMR dispersion as a
powerful tool for measuring nano-porous fluid properties.

Mesoscale and Nanoscale Physics;Soft Condensed Matter