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5.5 Groß Sch¨ onebeck  263
                         Table 5.1  Hydraulic and thermal properties of the reservoir
                         rocks under in situ conditions. The hydraulic conductivity was
                         estimated by means of a reference dynamic viscosity of 0.3
                                                   −1
                                      ◦
                         mPa·s(at T = 150 Cand C = 265 g l ).
                         Layer   k      k       K     n     T      λ         c
                                                 −1
                                                                               −1
                                                                      −1
                                                            ◦
                                        2
                               (mD)    (m )   (m s )  (%)  ( )  [W (mK) ]  [J (kg K) ]
                         I      0.05  4.93E-17  1.34E-09  1  138.2  1.9     920
                         IIA    2    1.97E-15  5.37E-08  3  141.7  1.9      920
                         IIB    4    3.95E-15  1.07E-07  8  143.2  2.9      920
                         IIC    8    7.90E-15  2.15E-07  15  145.2  2.8     920
                         III    0.1  9.87E-17  2.68E-09  0.1  146.5  3.0   1000
                         IV     0.1  9.87E-17  2.68E-09  0.5  147.4  2.3   1380

                         for the recent in situ stress field an azimuth of 18 is required. The arrangement
                                                                ◦
                         of the two wells has to fulfill two important conditions. First, the wells should be
                         located in such a way that the pressure in the reservoir would not drop significantly
                         during production, and second, a temperature drop in the production well should
                         be avoided. At the surface the two wells have a distance of 28 m. Owing to the fact
                         that the well E GrSK3/90 is vertically orientated and to ensure a distance of 500 m
                         within the reservoir, the second well Gt GrSk4/05 is drilled as a deviated well. At
                                                                   ◦
                         the top of the reservoir (−3850 m) the inclination is 18 and increases progressively
                             ◦
                         to 48 at −4200 m. Therefore, the distance between the two wells increases from
                         254 to 473 m from the top to the bottom of the reservoir (Figure 5.11). Besides the
                         realization of the required distance within the reservoir, the deviation leads to an
                         increase of the well–reservoir intersection as well. Thus, the thickness increases
                         from 350 m for the vertical well E GrSK3/90 to an apparent thickness of 442 m for
                         the deviated well Gt GrSk4/05.

                         5.5.2.3 Thermal Conditions
                         According to the continental geothermal gradient, the lowest temperature of the
                                                                           ◦
                         reservoir can be found at the Hannover formation with 138 Cand increases
                                          ◦
                         continuously to 147 C for the volcanic rocks. Further parameters are the heat
                         conductivity λ and the heat capacity c of the reservoir fluid and solid rock. A
                         detailed overview of thermal parameters of the North German basin is given by
                         Lotz (2004) and Gehrke (2007); the results of the latter work are summarized in
                         Table 5.1.
                         5.5.2.4 Hydraulic Conditions
                         In our reservoir model, the fluid flow is characterized by two different processes:
                         matrix flow and drainage by induced hydraulic fractures.

                         Matrix Flow In most sedimentary rocks, the porosity is interconnected, which
                         makes the rock permeable for flow. The permeability of a rock can be measured by
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