Nuclear magnetic relaxation in fractal pores

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Abstract
The theory of nuclear magnetic relaxation of a fluid in a porous medium is applied to the case of a medium having a fractal structure resembling a Menger sponge. Rapid diffusion within a pore is assumed and the limiting cases of rapid and vanishing diffusion between pores are treated. The results are compared with experiments on two sandstone samples. There is good qualitative agreement with the case of vanishing interpore diffusion but poor quantitative agreement. It appears that the quantitative disagreement could be at least partially removed by including moderate diffusion between pores. DOI: http://dx.doi.org/10.1103/PhysRevB.34.6503 © 1986 The American Physical Society