 
          3381
        
        
          Technical Committee 307 + 212 /
        
        
          
            Comité technique 307 + 212
          
        
        
          Heating tests were performed on the energy foundation in
        
        
          the layer of Bonny silt (USCS classification of ML) compacted
        
        
          at a gravimetric water content of 14% to a dry density of
        
        
          1451 kg/m
        
        
          3
        
        
          . An axial stress of 384 kPa was applied to the head
        
        
          of the foundation using a feedback-controlled electric motor.
        
        
          This motor permits the load to be maintained constant but
        
        
          permits free displacement. This implies that the value of K
        
        
          h
        
        
          for
        
        
          the centrifuge-scale foundation should be close to zero. A heat
        
        
          pump, operated outside the centrifuge, was used to control the
        
        
          temperature of the fluid being circulated through the scale-
        
        
          model foundations. Details of the heat control system are
        
        
          provided by Stewart (2012).
        
        
          3.2
        
        
          
            Full-Scale Energy Foundations
          
        
        
          Two drilled shaft foundations installed as part of the new
        
        
          Denver Housing Authority senior residential facilitywere
        
        
          converted into energy foundations. The energy foundations
        
        
          were coupled into a conventional GSHE system which was
        
        
          already being incorporated into the building. This paper focuses
        
        
          on the results of one of the drilled shafts,having a length of 14.8
        
        
          meters and a diameter of 0.91 meters, that includes 3 heat
        
        
          exchanger loops. The shaft consists of a full-length reinforcing
        
        
          cage with nine #7 vertical reinforcing bars tied to #3 lateral
        
        
          reinforcing hoops spaced 0.36 meters on center. A schematic of
        
        
          the drilled shaft within the soil profile is shown in Figure 3. The
        
        
          drilled shaft functioned as rock-socketed, end-bearing elements
        
        
          in bedrock, with an expected load of 3.84 MN.The grade beams
        
        
          attached to the top of the foundation likely provided a non-zero
        
        
          stiffness to the head of the foundation (K
        
        
          h
        
        
          > 0).
        
        
          Foundation A
        
        
          FILL
        
        
          SAND
        
        
          AND
        
        
          GRAVEL
        
        
          CLAYSTONE
        
        
          (Denver Blue
        
        
          Shale)
        
        
          FINISHED GRADE
        
        
          3 Heat Exchanger
        
        
          Loops
        
        
          3.8 m
        
        
          2.0 m
        
        
          2.1 m
        
        
          4.6 m
        
        
          3.0 m
        
        
          2.2 m
        
        
          2.1 m
        
        
          2.1 m
        
        
          1.1 m
        
        
          0.91 m
        
        
          dia.
        
        
          14.8 m
        
        
          Vibrating
        
        
          wire strain
        
        
          gauge
        
        
          locations
        
        
          3 heat
        
        
          exchange
        
        
          loops
        
        
          Figure 3.Soil stratigraphy and layout of foundation instrumentation
        
        
          At the site, urban fill extends from grade to a depth of
        
        
          approximately 3 meters and consists of slightly moist, medium
        
        
          dense, clayey sand with gravel. Beneath the fill, non-expansive,
        
        
          medium dense, silty, sand and gravel extended to a depth of
        
        
          approximately 7.6 meters below grade. Following the sands and
        
        
          gravels, the subsurface conditions consisted of hard sandy
        
        
          claystone bedrock from the Denver formation. Because of the
        
        
          potential for caving during drilling through the overburden and
        
        
          possible perched ground water conditions, a cased-hole method
        
        
          was chosen for installation of the drilled shaft foundations at the
        
        
          site. Groundwater was observed near the depth of the claystone.
        
        
          The heat exchanger system in the energy foundation consists
        
        
          of 44 mm-diameter polyethylene tubing attached to the inside of
        
        
          the reinforcing cages. The drilled shaft contains a total of 82.3
        
        
          linear meters of tubing configured into three loops running the
        
        
          length of the reinforcing cage. The heat exchanger tubing was
        
        
          routed along the inside perimeter of the reinforcing cage to
        
        
          avoid crossing the diameter of the cage, which could block
        
        
          concrete flow or cause segregation of concrete. Equal angular
        
        
          spacing of the tubing was maintained to ensure relatively
        
        
          uniform temperature along the circumference of the shafts. Six
        
        
          vibrating wire concrete-embedment strain gauges with attached
        
        
          thermistors were incorporated into the foundation to monitor
        
        
          temperature and axial strain distributions with depth, although
        
        
          one gauge was damaged. The supply and return temperatures of
        
        
          the heat exchanger fluid were also monitored. More information
        
        
          is provided by McCartney and Murphy (2012).
        
        
          4 STRAIN DISTRIBUTIONS
        
        
          4.1
        
        
          
            Centrifuge-Scale Energy Foundations
          
        
        
          The axial thermal strain distributions in the centrifuge-scale
        
        
          energy foundation after heating to different changes in
        
        
          temperature above the ambient temperature of 20
        
        
          °
        
        
          C are shown
        
        
          in Figure 4(a). Heating leads to a relatively uniform increase in
        
        
          negative axial strain throughout the foundation, indicating
        
        
          thermal expansion. The smallest strains are located near the toe
        
        
          of the foundation, which is as expected due to the rigid end
        
        
          restraint. The axial strains at the very top of the foundation
        
        
          represent the thermal strain for free expansion of the foundation
        
        
          (
        
        
          
        
        
          c
        
        
          
        
        
          T). The measured strains are consistent with these
        
        
          theoretical values, and confirm that the top of the foundation
        
        
          can expand freely. An upward displacement in prototype scale
        
        
          of 1 mm was observed. The thermal axial stresses were
        
        
          calculated from the thermal strains using Equation 1. The
        
        
          location of minimum strain (and maximum stress) reflects the
        
        
          null point for the foundation, which is approximately at the
        
        
          bottom of the foundation. The trend in stress approaches zero at
        
        
          the top of the foundation, supporting the conclusion that K
        
        
          h
        
        
          = 0.
        
        
          Figure 4. Centrifuge results: (a) Axial strains; (b) Axial stresses
        
        
          4.2
        
        
          
            Full-Scale Energy Foundations
          
        
        
          During operation of the heat pump between March and May
        
        
          2012, the temperature of the foundation was relatively uniform,
        
        
          and involved both heating and cooling. The strains induced in
        
        
          the foundation during different average changes in foundation
        
        
          temperature are shown in Figure 5(a). Similar to the centrifuge-