The heat transfer capability of the underground geothermal heat exchanger (GHE) is influenced by groundwater advection, and heat conduction and groundwater heat advection is coupled. Based on porous medium theory, the GHE’s mathematical model under coupled heat conduction and advection is established with correspond simplifications. Through numerical simulation, the performance of the GHE with groundwater advection is analyzed. The GHE’s heat transfer effect in winter in the continuous operation mode(COM) and the intermittent operation mode(IOM) is compared, furthermore the soil recovering effect in IOM is analyzed, finally the heat recovering time which the soil demands in a system running period is researched. It supplies theory support and technology accumulation for the application of ground-source heat pump (GSHP).