A method for estimating a property of a material, the method including:
acquiring data using nuclear magnetic resonance (NMR) measurements, the
measurements performed by varying at least one of a magnetic field
gradient (G) and an inter-echo time (TE); organizing the data according
to at least one of magnetic field gradients (G) and inter-echo times (TE)
used in the NMR measurements; calculating a shift of apparent transverse
relaxation time (T.sub.2,app) and (longitudinal relaxation time
T.sub.1)/(apparent transverse relaxation time T.sub.2,app) due to a
variation of the product of G and TE; constructing a mathematical model
of the NMR measurements from the shifts; and inverting the mathematical
model to estimate the property.