Pulsed field gradient NMR self-diffusion studies of water were used to determine surface-to-volume ratios and specific surface areas of the grains forming a glacial sand deposit. Both quantities exhibit a noninteger power-law dependence as a function of the diameters of the grains. The associated fractal dimensions of the surface area ( Dₛ) and of the pore volume ( Dᵥ) are found to be Dₛ-Dᵥ0ex0ex=0ex0ex-0.70±0.05 and Dₛ0ex0ex=0ex0ex2.20±0.05. The results demonstrate that NMR studies with native pore fluids are suitable to investigate the fractal nature of natural, unconsolidated porous materials.
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Stallmach et al. (2002) studied this question.
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