Magnetic resonance as a probe of permeability in porous media

Abstract

Results of a theoretical study of the permeability k and proton relaxation rate ${\mathrm{T}}_1^{\mathrm{-}1}$ in fully and partially saturated porous media are presented. Numerical calculations on two distinct geometrical models of granular materials predict a strong correlation between k and ${\mathrm{\phi }}^4$ ${\mathrm{T}}_1^2$ for fully saturated systems (with porosity φ) in agreement with a recent experimental study.