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Heat extraction calculations for deep coaxial borehole heat exchangers: matrix analytical approach

dc.contributor.authorMatyska, Ctirad
dc.contributor.authorZabranova, Eliska
dc.date.accessioned2024-02-29T16:10:35Z
dc.date.available2024-02-29T16:10:35Z
dc.date.issued2023
dc.identifier.urihttps://hdl.handle.net/20.500.14178/2277
dc.description.abstractDeep boreholes represent a source of clean energy. Therefore, effective calculations of potential extraction of heat from boreholes for realistic models of the Earth's crust with variable thermal conductivity and diffusivity are needed. We deal with heat extraction in a quasi-steady state from coaxial boreholes where downward and upward flows of pumped fluid (water) are separated by an inner pipe and connected only at the bottom. We first obtain theoretical estimates of heat extraction for a thermally isolated inner pipe and a model of the ground with constant thermal diffusivity and conductivity. Then, we develop a new analytical matrix method for a general layered ground model that enables us to include depth-dependent ground properties as well as heat exchange between the downward and upward flows of fluid in the borehole. Our straightforward and fast approach is thus suitable for various parametric studies or as a tool for benchmarks of numerical software. A key role in heat extraction from coaxial boreholes is played by the inner-pipe thermal resistance. We apply our method to the parametric study showing the dependence of pumped water temperature and total heat extraction from the borehole on realistic borehole geometries under different amounts of water pumping. The calculations are performed for a 3 km deep borehole as the representative of present deep boreholes used for extraction of geothermal energy and for a 10 km deep borehole. Drilling of such a superdeep borehole has just started in China and our results demonstrate potential limits of geothermal energy extraction from such great depths.en
dc.language.isoen
dc.relation.urlhttps://doi.org/10.1093/gji/ggad367
dc.rightsCreative Commons Uveďte původ 4.0 Internationalcs
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.titleHeat extraction calculations for deep coaxial borehole heat exchangers: matrix analytical approachen
dcterms.accessRightsopenAccess
dcterms.licensehttps://creativecommons.org/licenses/by/4.0/legalcode
dc.date.updated2024-02-29T16:10:35Z
dc.subject.keywordNumerical approximations and analysisen
dc.subject.keywordHeat flowen
dc.subject.keywordHydrothermal systemsen
dc.subject.keyworden
dc.relation.fundingReferenceinfo:eu-repo/grantAgreement/UK/COOP/COOP
dc.date.embargoStartDate2024-02-29
dc.type.obd73
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1093/gji/ggad367
dc.identifier.utWos001124759000011
dc.identifier.eidScopus2-s2.0-85175449383
dc.identifier.obd641285
dc.subject.rivPrimary10000::10500
dcterms.isPartOf.nameGeophysical Journal International
dcterms.isPartOf.issn0956-540X
dcterms.isPartOf.journalYear2023
dcterms.isPartOf.journalVolume235
dcterms.isPartOf.journalIssue3
uk.faculty.primaryId116
uk.faculty.primaryNameMatematicko-fyzikální fakultacs
uk.faculty.primaryNameFaculty of Mathematics and Physicsen
uk.department.primaryId1276
uk.department.primaryNameKatedra geofyzikycs
uk.department.primaryNameDepartment of Geophysicsen
dc.description.pageRange2323-2338
dc.type.obdHierarchyCsČLÁNEK V ČASOPISU::článek v časopisu::původní článekcs
dc.type.obdHierarchyEnJOURNAL ARTICLE::journal article::original articleen
dc.type.obdHierarchyCode73::152::206en
uk.displayTitleHeat extraction calculations for deep coaxial borehole heat exchangers: matrix analytical approachen


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