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Numerical analysis of thermal response tests with a groundwater flow and heat transfer model

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  • Raymond, J.
  • Therrien, R.
  • Gosselin, L.
  • Lefebvre, R.

Abstract

The Kelvin line-source equation, used to analyze thermal response tests, describes conductive heat transfer in a homogeneous medium with a constant temperature at infinite boundaries. The equation is based on assumptions that are valid for most ground-coupled heat pump environments with the exception of geological settings where there is significant groundwater flow, heterogeneous distribution of subsurface properties, a high geothermal gradient or significant atmospheric temperature variations. To address these specific cases, an alternative method to analyze thermal response tests was developed. The method consists in estimating parameters by reproducing the output temperature signal recorded during a test with a numerical groundwater flow and heat transfer model. The input temperature signal is specified at the entrance of the ground heat exchanger, where flow and heat transfer are computed in 2D planes representing piping and whose contributions are added to the 3D porous medium. Results obtained with this method are compared to those of the line-source model for a test performed under standard conditions. A second test conducted in waste rock at the South Dump of the Doyon Mine, where conditions deviate from the line-source assumptions, is analyzed with the numerical model. The numerical model improves the representation of the physical processes involved during a thermal response test compared to the line-source equation, without a significant increase in computational time.

Suggested Citation

  • Raymond, J. & Therrien, R. & Gosselin, L. & Lefebvre, R., 2011. "Numerical analysis of thermal response tests with a groundwater flow and heat transfer model," Renewable Energy, Elsevier, vol. 36(1), pages 315-324.
    • Handle: RePEc:eee:renene:v:36:y:2011:i:1:p:315-324
    DOI: 10.1016/j.renene.2010.06.044
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    References listed on IDEAS

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    1. Gehlin, S.E.A. & Hellström, G., 2003. "Influence on thermal response test by groundwater flow in vertical fractures in hard rock," Renewable Energy, Elsevier, vol. 28(14), pages 2221-2238.
    2. Gehlin, S.E.A. & Hellström, G. & Nordell, B., 2003. "The influence of the thermosiphon effect on the thermal response test," Renewable Energy, Elsevier, vol. 28(14), pages 2239-2254.
    3. Marcotte, D. & Pasquier, P., 2008. "On the estimation of thermal resistance in borehole thermal conductivity test," Renewable Energy, Elsevier, vol. 33(11), pages 2407-2415.
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