Correlations between diffusion, internal magnetic field gradients, and transverse relaxation in porous systems containing oil and water.

The main focus in this study is to investigate the correlations between internal magnetic field gradients (G0) and transverse relaxation times in liquid-saturated packings of glass beads of different wettabilities. We show how these correlations can be expressed as two-dimensional (2D) diagrams of distribution functions between internal magnetic field gradients and T2 values. In the case where it is difficult to distinguish the signals from oil and water, we separate them based on their difference in diffusivity. In addition to using such diffusion weighting in the G0-T2 diagrams, we also show results from experiments where the direct correlation between diffusion and T2 (D-T2) is determined. The overall results show that the wettability of the glass beads has a strong influence on the appearance of these diagrams, in particular on the location of the fast diffusing water molecules. However, due to their lower diffusivity, the transverse magnetization of the oil molecules is not so greatly influenced by either the presence of the glass beads or their wettability properties. Thus, the wettability properties of a liquid-filled porous material can be determined from the location of the water signal in such 2D diagrams. In particular, we show that this is the case not only for D-T2 diagrams, but also for G0-T2 diagrams.