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Heat and mass transfers in the context of energy geostructures  77


                   Table 3.3 Typical values of soil porosity.
                   Soil type                                                  Porosity range, n [ ]
                   Uniform materials  Equal spheres (theoretical values)      0.26 , n , 0.48
                                      Standard Ottawa sand                    0.33 , n , 0.44
                                      Clean, uniform sand (fine or medium)    0.29 , n , 0.50
                                      Uniform, inorganic silt                 0.29 , n , 0.52
                   Well-graded        Silty sand                              0.23 , n , 0.47
                     materials        Clean, fine to coarse sand              0.17 , n , 0.49
                                      Micaceous sand                          0.29 , n , 0.55
                                      Silty sand and gravel                   0.12 , n , 0.46
                   Mixed soils        Sandy or silty clay                     0.20 , n , 0.64
                                      Skip-graded silty clay with stones or rock  0.17 , n , 0.50
                                        fragments
                                      Well-graded gravel, sand, silt and clay mixture  0.11 , n , 0.41
                   Clay soils         Clay (30% 50% clay sizes)               0.33 , n , 0.71
                                      Colloidal clay (0.002 mm . 50%)         0.37 , n , 0.92
                   Organic soils      Organic silt                            0.35 , n , 0.75
                                      Organic clay (30% 50% clay sizes)       0.41 , n , 0.81
                   Source: Modified after Rees, S., Adjali, M., Zhou, Z., Davies, M. & Thomas, H., 2000. Ground heat transfer effects on
                   the thermal performance of earth-contact structures. Renew. Sustain. Energy Rev. 4 (3), 213 265.


                   2. In general, the denser the soil, rock, or concrete is, the smaller the pores and the
                      greater the contact points between solid grains are [typical values of porosity, n,
                      which are intrinsically related to dry density, ρ , are reported for soils in Table 3.3
                                                               d
                      with reference to the work of Rees et al. (2000)]. The thermal conductivity of
                      minerals is greater than that of water and air. For this reason, the greater the dry
                      density of geomaterials is for the same fluid filling the pores, the higher the overall
                      effective thermal conductivity of the medium will be.
                   3. Since water has a higher thermal conductivity than air, a geomaterial with pores
                      filled with water is characterised by a higher thermal conductivity than the same
                      material with the pores filled with air. The different magnitude between the ther-
                      mal conductivity of minerals, water and air also indicates that conduction heat
                      transfer primarily occurs between the solid particles rather than through the fluid
                      phase(s) (cf. Fig. 3.4). This phenomenon is particularly pronounced when a porous
                      material is completely dry and heat flows mainly through the contact points
                      between the grains instead of through the air-filled pores because of the greater
                      thermal conductivity of the grains compared to that of the air. This phenomenon
                      still characterises porous materials with increasing water content, although the pres-
                      ence of water layers of increasing thickness that cover the solid particles until the
                      pores are completely filled with water indicates a more significant proportion of
                      heat flowing in the water-filled pores compared to a dry case. A typical relationship
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