We report a theoretical development which aims at interpreting Pulsed Gradi
ent Spin Echo data for diffusing fluids in saturated porous media. It consi
sts in analyzing the time dependence of PGSE amplitudes for each single gra
dient strength, and introduces a new diffusion coefficient D((q) over right
arrow) as being continuously dependent on the length scale in the material
. Both experimental measurements on water saturated bead packings and simul
ated experiments in 2D and 3D model systems are interpreted with this appro
ach. D((q) over right arrow) is shown to give a new insight in the micro-ma
cro transition. Its evolution vs. the length scale is non trivial, and can
be sensitive to local slow kinetic effects. (C) 2001 Elsevier Science Inc.
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