Analytic solution of pseudocolloid migration in fractured rock

A form of colloid migration that can enhance or retard the migration of a dissolved contaminant in groundwater is the sorption of the contaminant on the moving colloidal particulate to form pseudocolloids. In this paper the authors develop analytical solutions for the interactive migration of radioactive species dissolved in groundwater and sorbed as pseudocolloids. The solute and pseudocolloids are assumed to undergo advection and dispersion in a one-dimensional flow field in planar fractures in porous rock. Interaction between pseudocolloid and dissolved species is described by equilibrium sorption. Sorbed species on the pseudocolloids undergo radioactive decay, and pseudocolloids can sorb on fracture surfaces and sediments. Filtration is neglected. The solute can decay and sorb on pseudocolloids, on the fracture surfaces, and on sediments and can diffuse into the porous rock matrix