 
          2988
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          refrigeration capacity. The reason for this increase is the
        
        
          additional convective heat flow caused by the groundwater
        
        
          flow. The flow velocity influences the artificial ground freezing
        
        
          application twice, because the increased refrigeration capacity
        
        
          has to be hold up for a longer time period to freeze the required
        
        
          frost body contour and during the operating phase.
        
        
          5 ACKNOWLEDGEMENTS
        
        
          Figure 5 displays that the refrigeration capacity with
        
        
          groundwater flow decreases with time due to an increasing frost
        
        
          body. However, the refrigeration capacity for a flow velocity of
        
        
          1.0 m/d and 2.0 m/d proceeds constant. This implies an
        
        
          stagnating frost body growth, a steady state. Such a steady state
        
        
          indicates a thermal equlibrium of the heat supplied by the
        
        
          groundwater flow and extracted by the freeze pipes.
        
        
          The displayed results have been gained from an ongoing
        
        
          research project “Energetic saving potential for the construction
        
        
          of complicated basements using the artificial ground freezing
        
        
          method” funded by the Federal Office for Building and
        
        
          Regional Planning (BBR). Sincere thanks are given to the BBR.
        
        
          Furthermore the Wayss & Freytag Ingenieurbau AG, the Züblin
        
        
          Spezialtiefbau GmbH and the Deilmann-Haniel Shaft Sinking
        
        
          GmbH deserve our thanks for the financial support. Our thanks
        
        
          also go to the Geophysica Beratungsgesellschaft mbH for their
        
        
          active support in the further development of SHEMAT.
        
        
          Monitoring points in the soil around the freeze pipe also
        
        
          indicating a stagnation in temperature course confirm this
        
        
          assumption (see Figure 6).
        
        
          6 REFERENCES
        
        
          -10
        
        
          -5
        
        
          0
        
        
          5
        
        
          10
        
        
          0
        
        
          100
        
        
          200
        
        
          300
        
        
          
            Temperature [°C]
          
        
        
          
            Time [h]
          
        
        
          v = 2.0 m/d
        
        
          v = 1.0 m/d
        
        
          v = 0
        
        
          Baehr S. and Stephan K. 2006.
        
        
          
            Wärme- und Stoffübertragung
          
        
        
          . Springer,
        
        
          Berlin.
        
        
          Baier Ch. 2009.
        
        
          
            Thermisch-hydraulische Simulationen zur Optimierung
          
        
        
          
            von Vereisungsmaßnahmen im Tunnelbau unter Einfluss einer
          
        
        
          
            Grundwasserströmung
          
        
        
          . Dissertation, Lehrstuhl für Geotechnik im
        
        
          Bauwesen der RWTH Aachen.
        
        
          Clauser C. 2003.
        
        
          
            Numerical Simulation Of Reactive Flow in Hot
          
        
        
          
            Aquifers – SHEMAT and PROCESSING SHEMAT
          
        
        
          . Springer, New
        
        
          York.
        
        
          Gnielinski V. 1995.
        
        
          
            Ein neues Berechnungsverfahren für die
          
        
        
          
            Wärmeübertragung im Übergangsbereich zwischen laminarer und
          
        
        
          
            turbulenter Rohrströmung
          
        
        
          . Forschung im Ingenieurwesen, Vol.61,
        
        
          No. 9, pp. 240-248.
        
        
          Hellström G. 1991.
        
        
          
            Ground heat Storage – Thermal Analyses of Duct
          
        
        
          
            Storage Systems
          
        
        
          . Ph.D. thesis, Theory. Dep. Of Mathematical
        
        
          Physics, University of Lund.
        
        
          Mottaghy D. and Dijkshoorn L. 2012.
        
        
          
            Implementing an effective finite
          
        
        
          
            difference formulation for borehole heat exchangers into a heat and
          
        
        
          
            mass transport code
          
        
        
          . Renewable Energy 45, pp.59-71.
        
        
          Figure 6. Temperature course of a monitoring point in the upstream.
        
        
          Comparing the refrigeration capacity after 100 hours, when
        
        
          frost body still grows for all flow velocities, it becomes clear
        
        
          that the refrigeration capacity increases about 10 % for a flow
        
        
          velocity of 1.0 m/d and even about 25 % for a flow velocity of
        
        
          2.0 m/d
        
        
          Mottaghy D. and Rath V. 2006.
        
        
          
            Latent heat effects in subsurface heat
          
        
        
          
            transport modelling and their impact on palaeotemperature
          
        
        
          
            reconstructions
          
        
        
          . Geophysical Journal International 164, p. 234-245.
        
        
          Verein Deutscher Ingenieure 2010.
        
        
          
            VDI Heat Atlas
          
        
        
          , 2nd ed. Springer,
        
        
          New York.
        
        
          Ziegler M. and Baier Ch. and Aulbach B. 2009.
        
        
          
            Optimization of
          
        
        
          
            artificial ground freezing applications for tunneling subject to
          
        
        
          
            water seepage
          
        
        
          . Safe tunneling for the city and for the environment:
        
        
          proceddings ITA-AITES World Tunnel Congress, Budapest.
        
        
          4 CONCLUSION
        
        
          An approach for the realistic determination of the refrigeration
        
        
          capacity by calculating the heat transfer processes within a
        
        
          freeze pipe was presented. By separating the “freezrefcap”
        
        
          module from SHEMAT and defining only two necessary
        
        
          interfaces for the coupling a very fine discretization and long
        
        
          computing times as a consequence can be avoided. The module
        
        
          offers the opportunity to calculate the outlet temperature and as
        
        
          a result the refrigeration capacity by entering the inlet
        
        
          temperature and the flow rate of the refrigerant. Thus the
        
        
          influence of different refrigerants on the refrigeration capacity
        
        
          can be estimated by numerical simulations.
        
        
          The aim of further research is to validate the “freezrefcap”
        
        
          module by simulating a laboratory model test influenced by
        
        
          groundwater flow. Thus quantitative statements on the outlet
        
        
          temperature and the refrigeration capacity can be given for
        
        
          various artificial ground freezing applications subject to water
        
        
          seepage.
        
        
          At this point qualitative statements already indicate that the
        
        
          refrigeration capacity increases disproportionally with an
        
        
          increasing flow velocity. In the further research process the
        
        
          influence of the operating phase on the total refrigeration
        
        
          capacity and the related energy consumption is determined. The
        
        
          aim of the research project is the simulation and optimization of
        
        
          artificial ground freezing applications regarding both time and
        
        
          energy aspects already in the design phase.