“…A well-known characteristic of clay-rocks and engineered bentonite barriers is their very low hydraulic permeability k. The existing database indicates that k ranges from w10 À21 to 10 À17 m 2 with little sensitivity, at least in some cases, to the presence of fractures or faults (Neuzil, 1994;Oscarson et al, 1996;Bock et al, 2010;Barbour et al, 2012). In porous media with such low k values, at hydraulic pressure gradients representative of subsurface conditions, molecular diffusion is an important mass transfer mechanism on length scales up to hundreds of meters and millions of years, with implications in the isolation of landfills and contaminated sites (Johnson et al, 1989;Jo et al, 2006;Lange et al, 2009;De Soto et al, 2012), the persistence of dense nonaqueous-phase liquids (DNAPL) in contaminated aquifers (Parker et al, 2004;Chapman and Parker, 2005), the distribution of inert tracers in clay formations (Patriarche et al, 2004b;Lavastre et al, 2005;Mazurek et al, 2011), and the geologic storage of CO 2 (Ketzer et al, 2005;Gherardi et al, 2007) and high-level radioactive waste (HLRW) .…”