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198                          Geothermal Energy: Renewable Energy and the Environment


                                1.30
                                      y = 1.1067 + 0.0000292 • x (R = 0.40)
                                1.25

                                1.20
                              Temperature ratio  1.15





                                1.10

                                1.05


                                1.00
                                  0           500         1000         1500
                                                  Time (Hrs.)

            FIGUre 10.14  Variation in the ratio of borefield supply temperature to return temperature to the borefield
            for the time period from November 4, 2005 through January 4, 2006. The light-gray line is a least squares fit
            to the data. The equation for the line is shown in the figure, as is the goodness of fit.

            synopsIs

            Ground source heat pump systems take advantage of the low temperature geothermal resource that
            exists in the shallow subsurface (less than 200 m depth). The constant flux of heat from the interior
            of the Earth plus the influx of solar energy to soils provides a reliable thermal reservoir from which
            heat can be extracted. High efficiency heat pumps that are coupled to this reservoir can move the
            thermal energy from the Earth to buildings by use of simple heat pumps. The heat pump technology
            currently available allows COP values in the range of 3 to 5, which makes them the most energy
            efficient means for HVAC purposes. Sizing such systems is a straightforward and well-developed
            practice, but relies on the availability of high quality information regarding soils and properties of
            the building to assure that a functioning system reliable meets the demand placed on it.

                 Problems
                  10.1   Describe how a ground source heat pump works. What determines its efficiency?
                  10.2   What does COP measure? What variables go into computing COP?
                  10.3   How might you change the performance of a heat pump so that its COP went from
                        3.5 to 5.0?
                  10.4     At 25°C, how much heat is available, per degree temperature drop, from a soil com-
                        posed of equal parts quartz, alkali feldspar, and calcite, with a water-filled porosity
                        of 15%?
                  10.5   For a heating system employing a heat pump with a COP of 3.8 for a building heating
                        load of 15 kW, calculate the length of the heating loop needed. Assume the soil proper-
                        ties are those in Problem 10.4, that the thermal conductivity of the pipe is the same as
                        the soil, the fractional heating time is 0.5, that the minimum soil temperature is 10°C,
                        and the heat pump fluid minimum temperature is 3°C.
                  10.6     From the Weaverville case study, explain, hour by hour from Figure 10.12, the factors
                        that are controlling the temperature for the return from the room heat pump.
                  10.7     What would be the advantages and disadvantages of maintaining the thermostat at the
                        same temperature 24 hours a day, if the pattern in Figure 10.12 is being considered?
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