Validity ranges of three analytical solutions to heat transfer in the vicinity of single boreholes

Philippe, Mikael; Bernier, Michel; Marchio, Dominique

doi:10.1016/j.geothermics.2009.07.002

Cited by 121 publications

(49 citation statements)

References 6 publications

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“…Subsurface resistances are evaluated according to the temperature difference between the far field temperature and that at the GHE and the ground interface or the borehole radius. A thermal response function representing the GHE is used to calculate the temperature at the borehole radius like the infinite cylindrical heat source, the infinite line source or the finite line source equations (Philippe et al 2009). The temperature penalty can be found according to the length, the separating distance and the disposition of boreholes in a given GHE field (Bernier et al 2008) or removed from equation 1 and incorporated in the thermal response function representing the GHE with the superposition principle (Eskilson 1987).…”

Section: Gchp Design Basicsmentioning

confidence: 99%

“…Various thermal response functions G can again be used in equation 7 and have different validity ranges (Philippe et al 2009). The borehole thermal resistance R b is to link the temperature at the borehole radius, calculated with the G function, to the water temperature in pipe assuming steady-state heat transfer inside the borehole.…”

Section: Gchp Design Basicsmentioning

confidence: 99%

“…The infinite line source equation (Carslaw 1945) has a validity range on the order of hours (Philippe et al 2009) and is therefore suitable for TRT analysis, where computed temperature increments are found with:…”

Section: Conventional Trtmentioning

confidence: 99%

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Colloquium 2016: Assessment of subsurface thermal conductivity for geothermal applications

Raymond

2018

Can. Geotech. J.

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The construction of green buildings using geothermal energy requires knowledge of the ground thermal conductivity, assessed when designing the heating and cooling system of commercial buildings with ground-coupled heat pumps. The most commonly used method for active field assessment is the thermal response test (TRT), which consists of circulating heated water in a pilot ground heat exchanger (GHE) where temperature and flow rate are monitored. The transient thermal perturbation is analyzed to evaluate the subsurface thermal conductivity. Heat injection can also be performed with a heating cable in the GHE to conduct a TRT without water circulation, which can be affected by surface temperature variations. Mots-clés : géothermie, géothermique, géophysique thermique, pompe à chaleur, conductivité thermique, test de réponse thermique, échangeur de chaleur au sol.

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Section: Gchp Design Basicsmentioning

confidence: 99%

Section: Gchp Design Basicsmentioning

confidence: 99%

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Colloquium 2016: Assessment of subsurface thermal conductivity for geothermal applications

Raymond

2018

Can. Geotech. J.

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“…Although this is not the case in reality, analysis shows that for typical borehole geometries, where the length-to-diameter ratio is greater than 500, the finite length of the borehole does not become important until heat injection has continued for some decades (Loveridge and Powrie, 2013). Similarly, for a smalldiameter borehole (,150 mm), the effect of the finite size of the cross-section results in less than 5% error in predictions of temperature change, provided the time period is greater than half a day (Philippe et al, 2009). …”

Section: Limitationsmentioning

confidence: 94%

Thermal response testing through the Chalk aquifer in London, UK

Loveridge

Holmes²,

Powrie

et al. 2013

Proceedings of the Institution of Civil Engineers - Geotechnica

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Thermal conductivity of the ground is an important parameter in the design of ground energy systems, which have an increasing role to play in providing renewable heat to the built environment. For larger schemes, the bulk thermal conductivity of the ground surrounding the system is often determined in situ using a thermal response test. Although this test method is commonly used, its limitations are often not fully understood, leading to an over-simplistic interpretation that may fail to identify key facets of the ground thermal behaviour. These limitations are highlighted using data from an instrumented thermal response test carried out in a 150 m deep borehole in east London. It is shown that a single, unique value of bulk thermal conductivity may not be appropriate, as stratification of the ground can lead to differences in thermal performance, depending on the direction of heat flow. Groundwater flow within the Chalk aquifer is also shown to have an important effect on the long-term heat transfer characteristics.

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“…The approach to BHE modeling can be analytical (see e.g. Philippe et al 2009) or numerical (see e.g. Al-Khoury and Bonnier 2006).…”

Section: Introductionmentioning

confidence: 99%

Experimental setup to measure the heat-exchange processes by controlling thermal and hydraulic conditions

Scotton¹,

Teza²,

Rossi³

et al. 2018

Proceedings of the IGSHPA Research Track 2018

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The design of a Borehole Heat Exchanger (BHE) is based on the evaluation of the thermal exchange capacity of the whole system constituted by the probes and the surrounding ground. The energy performance of a BHE mainly depends on the thermal properties of the sediments, the possible groundwater flow and the changes in the thermal gradient in the probe's surroundings due to the continuous heat exchange with the subsoil. The interpretation of the in-field applications is often difficult because in many instances the information needed is unavailable due to difficulties of in-field

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Validity ranges of three analytical solutions to heat transfer in the vicinity of single boreholes

Cited by 121 publications

References 6 publications

Colloquium 2016: Assessment of subsurface thermal conductivity for geothermal applications

Colloquium 2016: Assessment of subsurface thermal conductivity for geothermal applications

Thermal response testing through the Chalk aquifer in London, UK

Experimental setup to measure the heat-exchange processes by controlling thermal and hydraulic conditions

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