An analytical solution for solute transport through fractured media with matrix diffusion

Mathematical Modeling of Non-Fickian Diffusional Mass Exchange of Radioactive Contaminants in Geological Disposal Formations

“…Thus, the derivative of c 1 with respect to x is ignored. This is the same assumption with Grisak and Pickens [29] and Tang et al [12]. Dependence of c 1 on x is a consequence of the boundary conditions on the rock-fracture interface (y = 0), which couples c 1 with the mean concentration in the fracture, c.…”

“…Let us turn to solution of the boundary value problem (26)- (29). In the case where Λ = 0, β = 1/2, and converting to originals, we obtain…”

Synthesis report on thermally driven coupled processes

“…Any sorptive phase will generally have restricted availability to the mobile phase. The effects of diffusion in sorbents, on radionuclide transport, are similar to the widely recognized matrix-diffusion mechanism, in which retardation occurs because of mobile-immobile phase-diffusive transfer (Grisak and Pickens, 1981;Neretnieks, 1980). The process is temperature-controlled because, to a first approximation, rates of molecular diffusion are proportional to the square root of absolute temperature.…”

Phase I Contaminant Transport Parameters for the Groundwater Flow and Contaminant Transport Model of Corrective Action Unit 97: Yucca Flat/Climax Mine, Nevada Test Site, Nye County, Nevada, Revision 0

“…Numerical models and analytical solutions presenting analyses of the effect of matrix diffusion during transport in fractured geologic media have been reported by Neretnieks (1980), 1981), Tang et al (1981), Noorishad and Mehran (1982), Huyakorn et al (1983a and b), Feenstra , Grisak and Pickens (1981), Neretnieks et al (1982), Moreno et al (1985), , ; and for field tracer tests by Jones et al (1992), Novakowski and Lapcevic (1994), IT (1998), , and.…”