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This article highlights a method for natural heating and cooling of systems in areas of moderate climate. Movement of air is generated in the system by an underground piping system. In this paper, we discuss a feasibility study in Algeria of air-conditioning using a ground source heat pump (GSHP) with vertical mounting, coupled with a solar collector. This study consists of modeling ground temperature at different depths, for a clay soil in the city of Tlemcen. Our model is developed from the non-stationary heat equation for a homogeneous medium and takes into consideration the soil thermal diffusivity. It uses the daily ambient temperature during a typical year for the locality of Tlemcen. The study shows the feasibility of using a heating/cooling GSHP in the town of Tlemcen for the particular soil type, and indicates that the duration of air flow in the borehole has a major influence on the outgoing temperature drilling. [ABSTRACT FROM AUTHOR]