Brine flow has been measured to unheated boreholes for periods of a few days and to heated holes for two years in the WIPP facility. It is suggested that Darcy flow may dominate the observed influx of brine. Exact solutions to a linearized model for one-dimensional, radial flow are evaluated for conditions approximating the field experiments. Flow rates of the correct order of magnitude are calculated for permeabilities in the range 10/sup -21/ to 10/sup -20/ m/sup 2/ (1 to 10 nanodarcy) for both the unheated and heated cases. 20 refs., 3 figs., 1 tab