Magnetic resonance as a probe of permeability in porous media

Abstract

Results of a theoretical study of the permeability k and proton relaxation rate ${\mathrm{T}}_{1}^{\mathrm{\ensuremath{-}}1}$ 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{\ensuremath{\varphi}}}^{4}$${\mathrm{T}}_{1}^{2}$ for fully saturated systems (with porosity \ensuremath{\varphi}) in agreement with a recent experimental study.