This paper evaluates and analyzes the safety of solute transport as applicable to the deep geology ground water situation at the disposal of high-level radioactive wastes. This basis is consideration for basic safety assessment. Given the coupling effect from T-H-M-C, the EOS1 and EOS2 can simulate the interactions between groundwater and backfill material when brine and freshwater intrude in the vicinity of field, respectively. With the granite in a certain area in the northwest territories the migration media, the 1D multi-channel solute migration model simulates how the nuclides Cs-134, Co-57 and Tc-99more often involved in the study of granite in China migrate in the media. The results show that Cs-134 can migrate at the fastest rate under the specific conditions, while Tc. 99 is at the slowest rate.