Predictive assessment of heat exchange performance of geothermal piles

Heat exchange performance of geothermal piles with single U-shaped circulation tube is quantified as a function of design, operational and site-specific variables. A finite difference model is developed to simulate heat transport by circulation fluid and heat conduction in pile and surrounding soil. Finite difference analyses (FDAs) are performed to quantify the effects of several input parameters on heat transfer performance of a geothermal pile. Based on FDA results, closed-form equations are proposed that can be used in calculation of power output from a single geothermal pile with U-shaped circulation tube embedded in it. Parameter sensitivity study and advanced first order second moment (AFOSM) reliability analysis are performed to determine the hierarchy of different input variables in order of their relative impacts on heat transfer performance. Thermal conductivity of soil, initial temperature difference between circulation fluid and ground, and radius of the circulation tube are identified as the three most important parameters that control heat transfer through geothermal piles.

[1]  V. Gnielinski New equations for heat and mass transfer in turbulent pipe and channel flow , 1976 .

[2]  M. C. Bhattacharya,et al.  An explicit conditionally stable finite difference equation for-heat conduction problems , 1985 .

[3]  Shuntaro Inoue,et al.  Experimental study of several types of ground heat exchanger using a steel pile foundation , 2011 .

[4]  Louis Lamarche Short-term behavior of classical analytic solutions for the design of ground-source heat pumps , 2013 .

[5]  R. Al-Khoury,et al.  Efficient finite element formulation for geothermal heating systems. Part II: transient , 2006 .

[6]  H. Brandl Energy foundations and other thermo-active ground structures , 2006 .

[7]  J. McCartney,et al.  Analysis of Thermo-Active Foundations With U-Tube Heat Exchangers , 2012 .

[8]  Darius Mottaghy,et al.  Implementing an effective finite difference formulation for borehole heat exchangers into a heat and mass transport code , 2012 .

[9]  W. H. Leong,et al.  Thermal Conductivity of Standard Sands II. Saturated Conditions , 2011 .

[10]  B. S. Petukhov Heat Transfer and Friction in Turbulent Pipe Flow with Variable Physical Properties , 1970 .

[11]  Parviz Davami,et al.  Unconditionally Stable Fully Explicit Finite Difference Solution of Solidification Problems , 2007 .

[12]  Prasenjit Basu,et al.  An Annular Cylinder Source Model for Heat Transfer through Energy Piles , 2013 .

[13]  Yasuhiro Hamada,et al.  Field performance of an energy pile system for space heating , 2007 .

[14]  K. Soga,et al.  Energy pile test at Lambeth College, London: geotechnical and thermodynamic aspects of pile response to heat cycles , 2009 .

[15]  Xu Zhang,et al.  Numerical and experimental assessment of thermal performance of vertical energy piles: An application , 2008 .

[16]  Louis Lamarche Analytical g-function for inclined boreholes in ground-source heat pump systems , 2011 .

[17]  L. Lamarche,et al.  New solutions for the short-time analysis of geothermal vertical boreholes , 2007 .

[18]  Hans Müller-Steinhagen,et al.  Thermal resistance and capacity models for borehole heat exchangers , 2011 .

[19]  D. Marcotte,et al.  On the estimation of thermal resistance in borehole thermal conductivity test , 2008 .

[20]  Stanislaw Kajl,et al.  A review of methods to evaluate borehole thermal resistances in geothermal heat-pump systems , 2010 .

[21]  Xu Zhang,et al.  Thermal performance and ground temperature of vertical pile-foundation heat exchangers: A case study , 2008 .

[22]  Hongxing Yang,et al.  A new model and analytical solutions for borehole and pile ground heat exchangers , 2010 .

[23]  Cory A. Kramer An Experimental Investigation on Performance of a Model Geothermal Pile in Sand , 2013 .

[24]  Ryozo Ooka,et al.  Development of a numerical model to predict heat exchange rates for a ground-source heat pump system , 2008 .

[25]  Z. Fang,et al.  A finite line‐source model for boreholes in geothermal heat exchangers , 2002 .

[26]  R. Al-Khoury,et al.  Efficient finite element formulation for geothermal heating systems. Part I: steady state , 2005 .

[27]  Z. Fang,et al.  Efficiency of vertical geothermal heat exchangers in the ground source heat pump system , 2003 .

[28]  Somnuk Tangtermsirikul,et al.  A model for predicting thermal conductivity of concrete , 2009 .

[29]  Achintya Haldar,et al.  Probability, Reliability and Statistical Methods in Engineering Design (Haldar, Mahadevan) , 1999 .

[30]  Mostafa H. Sharqawy,et al.  Effective pipe-to-borehole thermal resistance for vertical ground heat exchangers , 2009 .

[31]  Lixia Guo,et al.  Thermal conductivity and heat transfer coefficient of concrete , 2011 .

[32]  Cory A. Kramer,et al.  Laboratory Thermal Performance Tests on a Model Heat Exchanger Pile in Sand , 2015, Geotechnical and Geological Engineering.

[33]  O. J. Zobel,et al.  Heat conduction with engineering, geological, and other applications , 1955 .

[34]  C. G. Olgun,et al.  Design and Operational Considerations of Geothermal Energy Piles , 2011 .

[35]  B. Shen,et al.  A Heat Transfer Model Based on Finite Difference Method for Grinding , 2011 .

[36]  Louis Lamarche,et al.  A new contribution to the finite line-source model for geothermal boreholes , 2007 .

[37]  A. M. Hasofer,et al.  Exact and Invariant Second-Moment Code Format , 1974 .

[38]  M. E. Suryatriyastuti,et al.  Understanding the temperature-induced mechanical behaviour of energy pile foundations , 2012 .

[39]  Prasenjit Basu,et al.  A practical heat transfer model for geothermal piles , 2013 .

[40]  Tolga Y. Ozudogru,et al.  3D Numerical Modeling of Vertical Geothermal Heat Exchangers , 2014 .

[41]  Z. Fang,et al.  Heat transfer analysis of boreholes in vertical ground heat exchangers , 2003 .

[42]  Lyesse Laloui,et al.  Experimental and numerical investigations of the behaviour of a heat exchanger pile , 2006 .

[43]  Wolfram Rühaak,et al.  Finite element modeling of borehole heat exchanger systems: Part 1. Fundamentals , 2011, Comput. Geosci..

[44]  J. Claesson,et al.  SIMULATION MODEL FOR THERMALLY INTERACTING HEAT EXTRACTION BOREHOLES , 1988 .

[45]  R. Courant,et al.  On the Partial Difference Equations, of Mathematical Physics , 2015 .

[46]  Per Eskilson Thermal analysis of heat extraction boreholes , 1987 .

[47]  Wolfram Rühaak,et al.  Finite element modeling of borehole heat exchanger systems: Part 2. Numerical simulation , 2011, Comput. Geosci..