Next Article in Journal
Tectonic Transport Directions, Shear Senses and Deformation Temperatures Indicated by Quartz c-Axis Fabrics and Microstructures in a NW-SE Transect across the Moine and Sgurr Beag Thrust Sheets, Caledonian Orogen of Northern Scotland
Next Article in Special Issue
Rock Glacier Dynamics by a Thermo-Elastic-Viscoplastic Constitutive Relationship
Previous Article in Journal
Are Past Sea-Ice Reconstructions Based on Planktonic Foraminifera Realistic? Study of the Last 50 ka as a Test to Validate Reconstructed Paleohydrography Derived from Transfer Functions Applied to Their Fossil Assemblages
Previous Article in Special Issue
Tracing δ18O and δ2H in Source Waters and Recharge Pathways of a Fractured-Basalt and Interbedded-Sediment Aquifer, Columbia River Flood Basalt Province
 
 
Article

Enhanced Steady-State Solution of the Infinite Moving Line Source Model for the Thermal Design of Grouted Borehole Heat Exchangers with Groundwater Advection

1
Institute for Building and Energy Systems, Biberach University of Applied Sciences, Karlstraße 11, 88400 Biberach an der Riss, Germany
2
Department of Applied Geology, Martin Luther University of Halle-Wittenberg, 06099 Halle (Saale), Germany
*
Author to whom correspondence should be addressed.
Academic Editors: Thomas Hermans and Jesus Martinez-Frias
Geosciences 2021, 11(10), 410; https://doi.org/10.3390/geosciences11100410
Received: 24 August 2021 / Revised: 23 September 2021 / Accepted: 24 September 2021 / Published: 29 September 2021
(This article belongs to the Collection Early Career Scientists’ (ECS) Contributions to Geosciences)
The objective of this study is to assess the suitability of the analytical infinite moving line source (MLS) model in determining the temperature of vertical grouted borehole heat exchangers (BHEs) for steady-state conditions when horizontal groundwater advection is present. Therefore, a numerical model of a grouted borehole is used as a virtual reality for further analysis. As a result of the first analysis, it has been discovered that established analytical methods to determine the borehole thermal resistance as a mean value over the borehole radius can also be applied to BHEs with groundwater advection. Furthermore, the deviation between a finite MLS and the infinite MLS is found to be only less than 5% for BHEs of a depth of 30 m or more, and Péclet numbers greater than 0.05. Finally, the accuracy of the temperature change calculated with the infinite MLS model at the radius of the borehole wall compared to the temperature change at a numerically simulated grouted borehole is addressed. A discrepancy of the g-functions resulting in a poor dimensioning of BHEs by the infinite MLS model is revealed, which is ascribed to the impermeable grouting material of the numerical model. A correction function has been developed and applied to the infinite MLS model for steady-state conditions to overcome this discrepancy and to avoid poor dimensioning of BHEs. View Full-Text
Keywords: moving line source; groundwater advection; borehole heat exchanger (BHE); darcy velocity moving line source; groundwater advection; borehole heat exchanger (BHE); darcy velocity
Show Figures

Figure 1

MDPI and ACS Style

Van de Ven, A.; Koenigsdorff, R.; Bayer, P. Enhanced Steady-State Solution of the Infinite Moving Line Source Model for the Thermal Design of Grouted Borehole Heat Exchangers with Groundwater Advection. Geosciences 2021, 11, 410. https://doi.org/10.3390/geosciences11100410

AMA Style

Van de Ven A, Koenigsdorff R, Bayer P. Enhanced Steady-State Solution of the Infinite Moving Line Source Model for the Thermal Design of Grouted Borehole Heat Exchangers with Groundwater Advection. Geosciences. 2021; 11(10):410. https://doi.org/10.3390/geosciences11100410

Chicago/Turabian Style

Van de Ven, Adinda, Roland Koenigsdorff, and Peter Bayer. 2021. "Enhanced Steady-State Solution of the Infinite Moving Line Source Model for the Thermal Design of Grouted Borehole Heat Exchangers with Groundwater Advection" Geosciences 11, no. 10: 410. https://doi.org/10.3390/geosciences11100410

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop