Geothermal heat advected by the recharge of underground conduit. Case study of the karstic spring of Lez (Hérault, France)

The karstic flow system of the Lez spring is capturing a large proportion of the deep geothermal heat flow as observed by temperature measurements both above and below the underground karst network. For interpreting these data, an analytical model of heat/fluid interaction based on the conservation...

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Main Author: Vasseur, Guy
Format: Article
Language:English
Published: Académie des sciences 2022-12-01
Series:Comptes Rendus. Géoscience
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Online Access:https://comptes-rendus.academie-sciences.fr/geoscience/articles/10.5802/crgeos.163/
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author Vasseur, Guy
author_facet Vasseur, Guy
author_sort Vasseur, Guy
collection DOAJ
description The karstic flow system of the Lez spring is capturing a large proportion of the deep geothermal heat flow as observed by temperature measurements both above and below the underground karst network. For interpreting these data, an analytical model of heat/fluid interaction based on the conservation of mass and energy in a dual conduit/porous medium system is developed. In the model of energy transport, the energy of the fluid includes its enthalpy plus its gravity potential; the hydraulic head is shown to be the correct potential accounting for both pressure and gravity. The thermal features of the model are expressed as a function of a few parameters: from comparison with the actual data, the depth of the conduit appears to lie around 400 m and the number Pe characterizing the recharge is about 6. When estimated with available thermal data, the amount of geothermal energy captured by the flow system in steady state conditions is significantly lower than the actual energy output of the spring. The possible origin of this offset is discussed: effect of gravity potential, 3D convergence of geothermal heat flux lines, transient effect. Moreover, the mapping of the vertical temperature gradient at low depth indicates the general pattern of the recharge zone energy.
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spelling doaj-art-c2a9a36f39b24ae79475a8f58c195c492025-02-07T10:40:14ZengAcadémie des sciencesComptes Rendus. Géoscience1778-70252022-12-01355S153355710.5802/crgeos.16310.5802/crgeos.163Geothermal heat advected by the recharge of underground conduit. Case study of the karstic spring of Lez (Hérault, France)Vasseur, Guy0https://orcid.org/0000-0001-7971-3297Fondation CERGA: Centre pour l’Enseignement et la Recherche en Geosciences et Applications, Résidence Astérie A2, 740 rue Paul Rimbaud, 34080 Montpellier, FranceThe karstic flow system of the Lez spring is capturing a large proportion of the deep geothermal heat flow as observed by temperature measurements both above and below the underground karst network. For interpreting these data, an analytical model of heat/fluid interaction based on the conservation of mass and energy in a dual conduit/porous medium system is developed. In the model of energy transport, the energy of the fluid includes its enthalpy plus its gravity potential; the hydraulic head is shown to be the correct potential accounting for both pressure and gravity. The thermal features of the model are expressed as a function of a few parameters: from comparison with the actual data, the depth of the conduit appears to lie around 400 m and the number Pe characterizing the recharge is about 6. When estimated with available thermal data, the amount of geothermal energy captured by the flow system in steady state conditions is significantly lower than the actual energy output of the spring. The possible origin of this offset is discussed: effect of gravity potential, 3D convergence of geothermal heat flux lines, transient effect. Moreover, the mapping of the vertical temperature gradient at low depth indicates the general pattern of the recharge zone energy.https://comptes-rendus.academie-sciences.fr/geoscience/articles/10.5802/crgeos.163/TemperatureAnalytical solutionsGroundwater rechargeEnergy budgetKarstSteady stateGravity potential
spellingShingle Vasseur, Guy
Geothermal heat advected by the recharge of underground conduit. Case study of the karstic spring of Lez (Hérault, France)
Comptes Rendus. Géoscience
Temperature
Analytical solutions
Groundwater recharge
Energy budget
Karst
Steady state
Gravity potential
title Geothermal heat advected by the recharge of underground conduit. Case study of the karstic spring of Lez (Hérault, France)
title_full Geothermal heat advected by the recharge of underground conduit. Case study of the karstic spring of Lez (Hérault, France)
title_fullStr Geothermal heat advected by the recharge of underground conduit. Case study of the karstic spring of Lez (Hérault, France)
title_full_unstemmed Geothermal heat advected by the recharge of underground conduit. Case study of the karstic spring of Lez (Hérault, France)
title_short Geothermal heat advected by the recharge of underground conduit. Case study of the karstic spring of Lez (Hérault, France)
title_sort geothermal heat advected by the recharge of underground conduit case study of the karstic spring of lez herault france
topic Temperature
Analytical solutions
Groundwater recharge
Energy budget
Karst
Steady state
Gravity potential
url https://comptes-rendus.academie-sciences.fr/geoscience/articles/10.5802/crgeos.163/
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