Nuclear-magnetic-resonance relaxation due to the translational diffusion of fluid confined to quasi-two-dimensional pores

D. A. Faux, P. J. McDonald, N. C. Howlett
2017 Physical review. E  
Nuclear magnetic resonance (NMR) relaxation experimentation is an effective technique for non-destructively probing the dynamics of proton-bearing fluids in porous media. The frequencydependent relaxation rate T −1 1 can yield a wealth of information on the fluid dynamics within the pore provided data can be fit to a suitable spin diffusion model. A spin diffusion model yields the dipolar correlation function G(t) describing the relative translational motion of pairs of 1 H spins which then can
more » ... be Fourier transformed to yield T −1 1 . G(t) for spins confined to a quasi-two-dimensional (Q2D) pore of thickness h is determined using theoretical and Monte Carlo techniques. G(t) shows a transition from three-to two-dimensional (2D) motion with the transition time proportional to h 2 . T −1 1 is found to be independent of frequency over the range 0.01-100 MHz provided h 5 nm and increases with decreasing frequency and decreasing h for pores of thickness h < 3 nm. T −1 1 increases linearly with the bulk water diffusion correlation time τ b allowing a simple and direct estimate of the bulk water diffusion coefficient from the high-frequency limit of T −1 1 dispersion measurements in systems where the influence of paramagnetic impurities is negligible. Monte Carlo simulations of hydrated Q2D pores are executed for a range of surfaceto-bulk desorption rates for a thin pore. G(t) is found to decorrelate when spins move from the surface to the bulk, display three-dimensional properties at intermediate times and finally show a bulk-mediated surface diffusion (Lévy) mechanism at longer times. The results may be used to interpret NMR relaxation rates in hydrated porous systems in which the paramagnetic impurity density is negligible.
doi:10.1103/physreve.95.033116 pmid:28415296 fatcat:rnrwtf3bcjfnbfk7qvp5wtkyya