A process in which material comprising an aqueous liquid with dispersed particulate solids is transferred as a fluid to a deposition area, then allowed to stand and rigidify, and in which rigidification is improved while retaining the fluidity of the material during transfer, by combining with the material an effective rigidifying amount of aqueous solution of a water-soluble polymer. The process is particularly suitable for the treatment of the tailings underflow resulting from a mineral processing operation and the co-disposal of fine and coarse tailings fractions. In addition, liquor released during the rigidification step is of high clarity.