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A Fast Simulation Approach to the Thermal Recovery Characteristics of Deep Borehole Heat Exchanger after Heat Extraction
Zhao, Yazhou1,2,3; Ma, Zhibo4; Pang, Zhonghe1,2,3
2020-03-01
Source PublicationSUSTAINABILITY
Volume12Issue:5Pages:27
AbstractNecessary intermittence after heat extraction for a deep borehole heat exchanger (DBHE) is beneficial for sustainable operation. This paper centers on the fast simulation for thermal recovery characteristics of DBHE under intermittent condition. First of all, in view of the existing temperature gradient and multi-layer heterogeneity of rock underground that could never be ignored for DBHE, we extend the classical finite line source model based on heat source theory and superposition principle to account for the vertical heat flux distribution varying along depth and heterogeneous thermal conductivities in the multi-layer rock zone. Moreover, a fast simulation approach for heat transfer analysis inside the borehole coupled with the extended finite line source model is put forward to depict the transient thermal response and dynamic thermal recovery of rock outside borehole. To the authors' knowledge, no such algorithm for deep BHE has yet been suggested in the previous literature. This approach has proven to be reliable and efficient enough for DBHE simulation under the intermittent condition. Simulation results show that at least 65 days of intermittence for the model in study should be spared after the heating season to achieve sustainable heat extraction in the next cyclic operation. Compared to the detailed solution based on full discretization numerical schemes, the relative error for borehole bottom temperature was 0.79%. In addition, comparison of the simulation results for thermal performance during the heating season in a three-year cyclic operation with 205 days intermittence shows that both the outflow temperature and heat extraction rate in the subsequent cycle after intermittence are in good agreement with the full 3D numerical solution in the reference (with a relative error of 6.36% for the outflow temperature and 9.3% for the heat extraction rate). Regarding the calculation speed, around a 13 times acceleration can be achieved. Finally, it is also promising to be applicable for thermal recovery simulation after heat extraction of vertical closed loop borehole heat exchangers at arbitrary length from shallow to deep.
Keyworddeep borehole heat exchanger thermal recovery fast simulation extended finite line source model vertical heat flux distribution heterogeneous thermal conductivities
DOI10.3390/su12052021
Funding Organization"Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences
WOS KeywordLINE SOURCE MODEL ; TIME ; GROUNDWATER ; STORAGE ; GHES ; PUMP
Language英语
Funding Project"Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences[XDA 21020202]
Funding Organization"Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences ; "Transformation Technologies for Clean Energy and Demonstration", Strategic Priority Research Program of the Chinese Academy of Sciences
WOS Research AreaScience & Technology - Other Topics ; Environmental Sciences & Ecology
WOS SubjectGreen & Sustainable Science & Technology ; Environmental Sciences ; Environmental Studies
WOS IDWOS:000522470900322
PublisherMDPI
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/95564
Collection页岩气与地质工程院重点实验室
Corresponding AuthorPang, Zhonghe
Affiliation1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Shale Gas & Geoengn, Beijing 100029, Peoples R China
2.Chinese Acad Sci, Innovat Acad Earth Sci, Beijing 100029, Peoples R China
3.Univ Chinese Acad Sci, Coll Earth & Planetary Sci, Beijing 100049, Peoples R China
4.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China
First Author AffilicationKey Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academy of Sciences
Corresponding Author AffilicationKey Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Zhao, Yazhou,Ma, Zhibo,Pang, Zhonghe. A Fast Simulation Approach to the Thermal Recovery Characteristics of Deep Borehole Heat Exchanger after Heat Extraction[J]. SUSTAINABILITY,2020,12(5):27.
APA Zhao, Yazhou,Ma, Zhibo,&Pang, Zhonghe.(2020).A Fast Simulation Approach to the Thermal Recovery Characteristics of Deep Borehole Heat Exchanger after Heat Extraction.SUSTAINABILITY,12(5),27.
MLA Zhao, Yazhou,et al."A Fast Simulation Approach to the Thermal Recovery Characteristics of Deep Borehole Heat Exchanger after Heat Extraction".SUSTAINABILITY 12.5(2020):27.
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