This paper is the first in a series of reports describing Nuclear Magn
etic Resonance (NMR) and numerical modelling studies of the representa
tion of the structure of porous media and associated transport phenome
na. In this paper the interpretation of Pulsed Gradient Spin Echo (PGS
E) NMR data are considered. In extending earlier studies in which the
porous medium is assumed to be macroscopically homogeneous, we have co
nsidered the effect of spatial variations in both the diffusivity and
relaxation properties within the porous medium, occurring over lengths
cales of order > 100 mu m. Expressions for the log-attenuation plot an
d the diffusivity are derived. The theory gives excellent agreement wi
th experimental PGSE data obtained for a variety of porous catalyst su
pport pellets, and both the effective diffusivity of the materials and
an indication of the degree of heterogeneity of diffusion are obtaine
d. Sample tortuosities are found to be in the range 1.3-4.3. The resul
ts suggest that macroscopically heterogeneous materials have a greater
tortuosity than more homogeneous materials.