This report describes work done to apply an existing finite element computer program, unsat2, to the unsteady, unsaturated flow of water through waste shale piles. The work was done in three phases: (1) verification of program through comparison with existing data. (2) Verification of program through simulation of flow from field seepage ponds at rifle, Colorado. Considerable laboratory work was done in this phase to obtain capillary pressure-saturation-relative permeability data and hydraulic conductivity values for retorted shale. (3) Application of program to flow due to natural rainfall in a section through the Piceance Basin in Colorado, and a typical waste shale pile.