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254  5 Geothermal Reservoir Simulation


                                  1.0 × 10 −14


                                  1.0 × 10 −15
                                 Permeability (m 2 )  1.0 × 10 −16


                                       −17
                                  1.0 × 10

                                  1.0 × 10 −18

                                  1.0 × 10 −19

                                  1.0 × 10 −20
                                         0.1                  1                    10
                                                              Porosity (%)

                               Figure 5.4  Porosity–permeability relationship observed at
                               the Falkenberg site (Pape et al., 1999).
                               5.3.2
                               Fluid Properties

                               The properties of geothermal fluids strongly depend on temperature and salinity,
                               see, for example, (Wagner and Kurse, 1998), who use a very general thermodynamic
                               description of fluid properties based on the free Helmholtz energy.

                               5.3.2.1 Density and Viscosity
                               In terms of the influence of the state variables, the effects of changes in pressure are
                               smaller than those of temperature and salt concentration (Figure 5.5). Examples
                               of the reservoir pressures and temperatures typical of the geothermal systems
                               have been analyzed by McDermott et al. (2006) in water vapor phase diagrams. All
                               the reservoirs plot in the subcritical region of the diagram. Although supercritical
                               conditions are not reached in potential EGS reservoirs, significant changes are seen
                               in the fluid properties of the hot, highly compressed reservoir fluids.
                                 In addition to general thermodynamic description of fluid properties, frequently
                               phenomenological equations of state are used. The dynamic viscosity of the
                               fluid phase is typically regarded as a function of concentration and temperature
                               (Diersch, 2002).

                                                       2
                                     µ    1 + 1.85ω − 4.1ω + 44.5ω 3
                                       =                                                  (5.16)
                                     µ 0   1 + 0.7063ς − 0.04832ς 3
                               with mass fraction and relative temperature coefficients
                                    ω = C/ρ,  ς = (T − 150)/100
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