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110   Analysis and Design of Energy Geostructures


                Table 3.11 Hydraulic conductivity of materials characterising energy geostructures.
                Material type  Material                           Hydraulic conductivity, k [m/s]
                                                                    21   23
                Soils          Gravel                             10  10
                                                                    22
                               Cleaned sands (coarse grained)     10  10 24
                                                                    24
                               Sand (mixed)                       10  5   10 25
                               Fine sand                          5 3 10 24  to 10 25
                                                                       25
                               Silty sand                         2 3 10  10 26
                                                                    25
                               Silt                               10  10 28
                                                                    28
                               Clay                               10  10 210
                Rock           Sandstone                          10 210  10 212
                  (laboratory  Siltstone                          10 210  10 211
                                                                       213      212
                  testing)     Granite                            5 3 10   2 3 10
                               Slate                              7 3 10 213  1.6 3 10 212
                                                                       213        212
                               Brèche                             7 3 10   4.6 3 10
                               Calcite                            7 3 10 212  9.3 3 10 210
                               Limestone                          7 3 10 212  1.2 3 10 29
                               Dolomite                           4.6 3 10 211  1.2 3 10 210
                                                                        29
                               Sandstone                          1.6 3 10  1.2 3 10 27
                                                                       29
                               Strong argillite                   6 3 10  2 3 10 28
                                                                       26
                               Black schist (fissured)            6 3 10  3 3 10 26
                               Fine sandstone                     2 3 10 29
                               Olithique rock                     1.3 3 10 28
                                                                        27       29
                               Bradford sandstone                 2.2 3 10  6 3 10
                                                                        25
                               Glenrose sandstone                 1.5 3 10  1.3 3 10 26
                                                                        27         27
                               Altered sandstone                  0.6 3 10  1.5 3 10
                Rock mass (in  Migmatite                          3.3 3 10 26
                  situ)        Gneiss and clayey schist           0.7 3 10 27
                                                                        25
                               Gneiss                             1.2 3 10  1.9 3 10 25
                                                                        25
                               Pegmatoïde granite                 1.2 3 10  0.6 3 10 25
                                                                        24
                               Lignite                            1.7 3 10  23.9 3 10 24
                                                                        24
                               Sandstone                          1.7 3 10  23.9 3 10 24
                                                                        24
                               Argillite                          1.7 3 10  23.9 3 10 24
                                                                        24
                               Eocene limestone                   1.7 3 10  23.9 3 10 24
                                                                       26
                               Impermeable rock with 0.1 mm       8 3 10
                                 discontinuities at 1 m intervals
                                                                    29   212
                Concrete       Concrete                           10  10
                Source: Data from Vulliet, L., Laloui, L., Zhao, J., 2016. Mécanique des sols et des roches (TGC volume 18): avec
                écoulements souterrains et transferts de chaleur. PPUR Presses polytechniques, after Silin-Bekchurin, A., 1958.
                Dynamics of Underground Water. Moscow Izdat, Moscow University, Moscow.
                where T is the absolute temperature expressed in Kelvin. As the dynamic viscosity of
                water decreases for an increase in temperature, the hydraulic conductivity of soils
                increases for increasing temperature values (Burghignoli et al., 2000; Towhata et al.,
                1993). This phenomenon yields to higher flow velocities and greater groundwater
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