Explicit calculation of nuclear-magnetic-resonance relaxation rates in small pores to elucidate molecular-scale fluid dynamics

Nuclear-magnetic-resonance (NMR) spin-lattice (T-1(-1)) and spin-spin (T-2(-1)) relaxation rate measurements can act as effective nondestructive probes of the nanoscale dynamics of H-1 spins in porous media. In particular, fast-field-cycling T-1(-1) dispersion measurements contain information on the dynamics of diffusing spins over time scales spanning many orders of magnitude. Previously published experimental T-1(-1) dispersions from a plaster paste, synthetic saponite, mortar, and oil-bearing shale are reanalyzed using a model and associated theory which describe the relaxation rate contributions due to the interaction between spin ensembles in quasi-two-dimensional pores. Application of the model yields physically meaningful diffusion correlation times for all systems. In particular, the surface diffusion correlation time and the surface desorption time take similar values for each system, suggesting that surface mobility and desorption are linked processes. The bulk fluid diffusion correlation time is found to be two to five times the value for the pure liquid at room temperature for each system. Reanalysis of the oil-bearing shale yields diffusion time constants for both the oil and water constituents. The shale is found to be oil wetting and the water T-1(-1) dispersion is found to be associated with aqueous Mn2+ paramagnetic impurities in the bulk water. These results escalate the NMR T-1(-1) dispersion measurement technique as the primary probe of molecular-scale dynamics in porous media yielding diffusion parameters and a wealth of information on pore morphology.