Page 295 - Geothermal Energy Systems Exploration, Development, and Utilization
P. 295

5.6 Bad Urach  271


















                                                     2
                                           Permeability (m )
                                 1.0e-018  1.6e-017  2.5e-016  4.0e-015

                         Figure 5.16  Permeability distribution for a stimulated reser-
                         voir by single borehole (top) and two boreholes (bottom):
                         linear (left) and quadratic enhancement functions (right).


                           Figure 5.16 illustrates the reservoir permeability distribution if both boreholes
                         are used for hydraulic stimulation. From experimental observation it is known
                         that the stimulation radius is in the range of the borehole distance (Weidler et al.,
                         2002; Baisch et al., 2004). The effect of hydraulic stimulation on the permeability
                         (enhancement factor) is strongly dependent on the injection borehole distance.
                         The functional behavior of the decay of the permeability enhancement factor is
                         difficult to characterize. Therefore, we investigate two models in order to scale the
                         permeability enhancement depending on borehole distance: linear and quadratic
                         decline of enhancement factor (Figure 5.16).
                           Figure 5.17 depicts the THM results for both cases, single and double hydraulic
                         borehole stimulation using linear and quadratic permeability enhancement func-
                         tions. Hydraulic stimulation of the borehole doublet leads to an overall increase
                         of reservoir permeability; therefore we obtain a much larger temperature draw-
                         down in the observation point. The numerical study shows very impressively the
                         consequences of single and multiple borehole stimulations to the long-term ther-
                         mal reservoir evolution. These scenario analyses provide useful information for
                         optimization of reservoir management.

                         5.6.1.4 Monte Carlo Analysis
                         We consider a reservoir type, where hydraulic stimulation is conducted in
                         two boreholes with a quadratic permeability enhancement factor and the
                         porosity–permeability relationship corresponds to that from the Falkenberg site
                         (Figure 5.4). To perform a representative Monte Carlo simulation, we conduct 100
                         stochastic simulations. In order to be able to run this number of fully coupled
   290   291   292   293   294   295   296   297   298   299   300