Geothermal energy can be a useful supplement to traditional fossil fuels because it is resourceful, available, and reasonably priced. In terms of CO2 emissions, water pollution [JFAS], and air pollution, this energy is less polluting than fossil fuels. Significant change in the construction sector increases the need for heating in buildings as well as the need for cooling. In the meantime, geothermal technology has advanced to access deeper subsurface layers and extract heat at higher temperatures. In this article, we present a geothermal installation that will provide heating and cooling for a detached home in Tlemcen city in Algeria. The coaxial cable's thermal behavior and double U borehole heat exchangers were examined in both the long and short terms using numerical simulations by EWS (ErdWärmeSonden) software. Two different types of ground (limestone and Gravel) with various thermal conductivity levels were taken into consideration when conducting the analysis. Thermal resistances of the borehole and infill material are also involved in this study. As a result, the more conductive ground type draws attention to the coaxial probe's higher yield.