When groundwater flow is present, advective heat transport in the soil matrix has to be considered. Hence, the governing equation for advective and conductive heat transport in an isotropic porous media can be expressed (in 2D form) as follows:
where
in which
The input files for the full simulation including the analytical solution for
the soil temperature can be found here. The
geometry of the model is
illustrated in Figure 1. The depth of the model domain is 15 m with an areal
extent of 80 m x 80 m. The BHE is 1U-type and is
represented by a straight line located at
Parameter | Symbol | Value | Unit |
---|---|---|---|
Thermal conductivity of the porous medium | 2.5 | ||
Volumetric heat capacity of the porous medium | |||
Length of the BHE | 15 | ||
Darcy velocity | |||
Specific heat exchange rate of the BHE | 20 | ||
Initial ground temperature | 25 |
The BHE parameters are only relevant for the numerical model and are adopted from the 3D Beier sandbox benchmark.
In Figure 2, the numerically simulated ground temperature distribution from
OGS-6 is shown for the
[1] Diao, N., Li, Q., & Fang, Z. (2004). Heat transfer in ground heat exchangers with groundwater advection. International Journal of Thermal Sciences, 43(12), 1203-1211.
[2] Molina-Giraldo, N., Blum, P., Zhu, K., Bayer, P., & Fang, Z. (2011). A moving finite line source model to simulate borehole heat exchangers with groundwater advection. International Journal of Thermal Sciences, 50(12), 2506-2513.
[3] P. Eskilson, Thermal analysis of heat extraction boreholes, Ph.D. Thesis, University of Lund, Lund, Sweden, 1987.
This article was written by Boyan Meng, Chaofan Chen, Haibing Shao. If you are missing something or you find an error please let us know.
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Last revision: November 12, 2024
Commit: [BL/MPI] Use MPI_COMM_WORLD in reduceMin 4aae83e
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