 
          3401
        
        
          Technical Committee 307 + 212 /
        
        
          
            Comité technique 307 + 212
          
        
        
          The boundary conditions for the surface of the construction
        
        
          situated below the soil freezing level as a time-constant
        
        
          temperature +1°C were additionally set. Thus, a maximal
        
        
          extraction of thermal energy through the surface of ground-
        
        
          structure contact was simulated.
        
        
          To determine the minimal time parameters for the numerical
        
        
          simulations of various types of foundations, calculations were
        
        
          carried out and values of the heat flow density through the
        
        
          contact surface of the ground with the foundations were
        
        
          obtained for several calendar years. Figure 2 shows the values
        
        
          of the average heat flow density for the heating period.
        
        
          Figure 2. Diagram of average heat flow density through the contact
        
        
          surface of the soil with a 20 m long pile during the heating period
        
        
          The minimal time parameters for the numerical simulation of
        
        
          different energy foundations maintenance were determined on
        
        
          the solution of the test problems. They are the following: 3
        
        
          years for a single energy pile, 7 years for a slab foundation and
        
        
          5 years for a slurry wall.
        
        
          The purpose of the numerical simulation was quantitative
        
        
          evaluation of the thermal energy extracted from different energy
        
        
          foundations under soil conditions in the city of Perm. Thereto,
        
        
          main types of ground bases typical for the city of Perm were
        
        
          ascertained and numerical experiments were carried out. Based
        
        
          on them regression equations were obtained.
        
        
          According to the studies done (Kaloshina S.V. et al. 2006),
        
        
          engineering-geological conditions in Perm can generally be
        
        
          reduced to two types. The first one is represented by low
        
        
          plasticity loam and gravel ground with sandy filling aggregate.
        
        
          The second type is medium sand, under which gravel ground
        
        
          with sandy filling aggregate lies. Low-compressible Upper
        
        
          Permian semi- rock occurs below gravel ground.
        
        
          The experimental site refers to the ground base of the first
        
        
          type. When carrying out the numerical experiment, dependences
        
        
          on various factors of average heat flow density through the
        
        
          contact surface of the deep building parts with the ground were
        
        
          determined.
        
        
          As two main types of ground conditions with concrete values
        
        
          of physical and thermal-physical characteristics of the ground
        
        
          were identified, their impact on energy foundations was taken
        
        
          into account through numerical calculations and obtaining the
        
        
          dependences for each type.
        
        
          Therefore, geometrics parameters and underground structure
        
        
          depth were chosen as the main factors, namely:
        
        
          - for a single pile: a pile radius (
        
        
          
            r
          
        
        
          ) and pile tip depth (
        
        
          
            d
          
        
        
          );
        
        
          - for a sunk slab foundation: foundation width (
        
        
          
            b
          
        
        
          ) and
        
        
          foundation depth (
        
        
          
            d
          
        
        
          );
        
        
          - for a slurry wall: foundation depth (
        
        
          
            d
          
        
        
          ).
        
        
          The following regression dependences based on numerical
        
        
          simulation results were obtained and nomograms were plotted.
        
        
          An example of a nomogram is shown in Fig. 3.
        
        
          Figure 3. Nomogram of dependence of the heat flow density (
        
        
          
            q
          
        
        
          )
        
        
          through the pile-ground contact surface on the radius (
        
        
          
            r
          
        
        
          ) and the pile
        
        
          point depth (
        
        
          
            d
          
        
        
          ). Engineering-geological conditions of the first type.
        
        
          Example of distribution of temperature fields in the soil mass
        
        
          at work energy pile is shown in fig. 4.