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5.6 Bad Urach  269



                                                                   Production borehole
                                                                              (U4)
                                              Injection borehole  400 m
                          Z =−3850 m              (U3)


                                                               Profile line
                                                       60 m
                                                           Observation point
                             300 m


                                                       150 m

                         Z =−4150 m
                                                                        800 m           Z
                                                                                      Y   X
                                      300 m

                         Figure 5.14  Cuboid reservoir model with a borehole doublet (U3 and U4).

                           Z
                                         Injection                     Production
                                X            T = 323.15 K                    p =−10 MPa
                                      s
                                  s  = r g z  p =+10 MPa  ∂p   ∂T
                                   zz
                                                           = 0   = 0
                                                         ∂z    ∂z
                                                         400 m
                          ∂p                                                              ∂p
                            = 0                                                             = 0
                          ∂x                                                              ∂x    300 m
                          ∂T                                                              ∂T
                            = 0                                                             = 0
                                     s
                          ∂x    s zz0 =r g z                                              ∂x
                                          s
                                                                                   l
                                s xx 0 = s = nr g z       T =T r +w(z r −z )   p 0 = r g z
                                                           0
                                     yy
                                                        ∂p   ∂T
                                                        ∂z  = 0  ∂z  = 0
                                                         800 m
                         Figure 5.15  Thermodynamic system conditions for the geothermal reservoir.

                         cuboid are 300 m high, 300 m wide, and 800 m long (Figure 5.14). The observation
                         point is selected to be rather close to the injection borehole as the significance of
                         THM coupling during heat extraction is more evident in this area.
                           The reservoir depth is between 3850–4150 m. The corresponding THM system
                         conditions are depicted in Figure 5.15. Concerning the initial conditions (t = 0),
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