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258  5 Geothermal Reservoir Simulation
                                               Fluid pressure  Fluid heat at
                                 Ratio of efficiency of heat extraction, CO 2  : H 2 O  5  CO 2  more efficient
                                                        10 MPa eq. 1000 m
                                                        20 MPa eq. 2000 m
                                  10
                                                        30 MPa eq. 3000 m
                                                        40 MPa eq. 4000 m
                                   7
                                   4
                                   3
                                   2

                                   1


                                      Line at which efficiency of heat
                                      extraction using CO 2  is the same
                                      as that of water
                                         300       350       400        450  H 2 O more efficient
                                               Reservoir temperature
                               Figure 5.8  Consideration of the efficiency of CO 2 as a
                               circulating fluid against H 2 Oas a circulatingfluid.

                               will give an indication of which fluid is better applied under which conditions, as
                               presented in Figure 5.8. The CO 2 properties were taken from (Span and Wagner,
                               1994) and compiled in Sultanov (2006).
                                 The peak seen in the CO 2 under 10 MPa and at a temperature of around
                               310–320 K is related to the proximity of the critical point. Looking at the ratio of
                               efficiencies it becomes apparent that for reservoir conditions found under a typical
                                                   ◦
                               geothermal gradient of 30 Ckm −1  that at from a depth of 800 m to approximately
                               4km CO 2 will be more efficient that H 2 O. At depths of more than 4 km (under
                               normal geothermal gradients) H 2 Owill bemoreefficientattransportingheat
                               energy out of the reservoir than CO 2 .Itisalsoimportanttonotethatforthe
                               higher reservoir temperature required for base load power production and better
                                                   ◦
                               efficiencies (about >130 C) that H 2 O turns out to be the more efficient fluid.
                               Forclosersurface reservoirsystems and smallerheat requirements, forexample,
                                  ◦
                               100 C or less, CO 2 proves to be the more efficient fluid.
                               5.3.4
                               Uncertainty Assessment

                               Data uncertainty is one of the major problems in subsurface reservoir analysis
                               (Section 5.1.2). (Watanabe et al., 2009) used spatially correlated random fields to
                               generate parameter distributions. The stochastic properties of the random field
                               are probability distribution (frequency) and spatial correlation. The probability
                               distribution represents the quantitative trend of parameter values. For example,
                               the distribution of hydraulic conductivity in aquifers often appears as a lognormal
                               shape. As explained above, we assume normal distributions for all THM
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