A system of double concentric pipes having different enthalpy for a vertical geothermal aero exchanger, that includes a plurality of pipes integrated by an external tube and a concentric inner tube arranged vertically underground; wherein the external tube is connected to an air inlet which takes air from outside, the air through the external tube runs through said external tube to a lower part until reaching a bottom of the external tube and enters a head and then runs upwards through the inner tube until reaching a branch connected to an air outlet; a separation device is placed between an internal face of a wall and a cylindrical surface of a tubular element and has a function of keeping constant the space between the external and inner tubes; wherein the branch of each pipe is connected to a tubular section by which at least one impeller forces a climatized air into the environment, wherein the external tube produces a thermal exchange between the air admitted and the surrounding earth, characterized in that the external tube is made of a high thermal diffusion material, and the inner tube, the branches, the tubular element, the sections, and the impeller are made of low thermal diffusion material; wherein the high thermal diffusion material is selected from the group consisting of a high density polyethylene, a high density polyethylene with antibacterial material, a polypropylene with antibacterial material, a sanitary polypropylene, a polyvinyl chloride with added minerals, a polychloride sanitary vinyl, and wherein the low thermal diffusion material is selected from the group consisting of polyvinyl chloride, pipes of plastic material covered with expanded glass, pipes of plastic material covered with polyethylene foam, pipes made of plastic material covered with elastomeric foam and pipes made of plastic material covered with vermiculite. the external tube is connected to an air inlet which takes air from outside, the air through the external tube runs through said external tube to a lower part until reaching a bottom of the external tube and enters a head and then runs upwards through the inner tube until reaching a branch connected to an air outlet; a separation device is placed between an internal face of a wall and a cylindrical surface of a tubular element and has a function of keeping constant the space between the external and inner tubes; wherein the branch of each pipe is connected to a tubular section by which at least one impeller forces a climatized air into the environment, wherein the external tube produces a thermal exchange between the air admitted and the surrounding earth, characterized in that the external tube is made of a high thermal diffusion material, and the inner tube, the branches, the tubular element, the sections, and the impeller are made of low thermal diffusion material; wherein the high thermal diffusion material is selected from the group consisting of a high density polyethylene, a high density polyethylene with antibacterial material, a polypropylene with antibacterial material, a sanitary polypropylene, a polyvinyl chloride with added minerals, a polychloride sanitary vinyl, and wherein the low thermal diffusion material is selected from the group consisting of polyvinyl chloride, pipes of plastic material covered with expanded glass, pipes of plastic material covered with polyethylene foam, pipes made of plastic material covered with elastomeric foam and pipes made of plastic material covered with vermiculite.