Harmonic Thermal Response of Thermally Interacting Geothermal Boreholes

DOI10.1137/18M119001XzbMath1429.86014WikidataQ126304546 ScholiaQ126304546MaRDI QIDQ5212044

Santiago Ibáñez, Miguel Hermanns

Publication date: 24 January 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

heat equationharmonic excitationasymptotic matchingsingular expansiongeothermal boreholesgeothermal heat exchangers

Mathematics Subject Classification ID

Heat equation (35K05) Asymptotic expansions of solutions to PDEs (35C20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Geological problems (86A60) Linear integral equations (45A05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Vulcanology; magma and lava flow (86A70)

Uses Software

• COMSOL
• DLMF

Cites Work

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• Perturbation methods in applied mathematics
• Matched asymptotic expansions. Ideas and techniques
• On the Steady-State Thermal Response of Slender Geothermal Boreholes
• Thermal Response of Slender Geothermal Boreholes to Subannual Harmonic Excitations
• Asymptotic Analysis of Vertical Geothermal Boreholes in the Limit of Slowly Varying Heat Injection Rates

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