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An approximation of the finite line source solution to model thermal interactions between geothermal boreholes

Massimo Cimmino

Article (2021)

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Abstract

This paper presents an approximation of the finite line source (FLS) solution for the simulation of geothermal systems. The FLS solution requires the evaluation of an integral involving a product of the error function which cannot be solved analytically. An approximate solution of the FLS solution can be obtained using an approximation of the Gaussian Q-function in the form of a weighted sum of exponentials. The new approximation of the FLS solution is shown to be adequately accurate for simulations. Substantial gains in computational speed are obtained, in one case decreasing the computational time for 1000 evaluations of the FLS solution from 3.52 s down to 20 milliseconds.

Uncontrolled Keywords

Boreholes, Geothermal, Finite line source, Thermal response factor, Ground heat exchangers

Subjects: 2100 Mechanical engineering > 2100 Mechanical engineering
2100 Mechanical engineering > 2107 Modelling, simulation and finite element methods
Department: Department of Mechanical Engineering
PolyPublie URL: https://publications.polymtl.ca/10255/
Journal Title: International Communications in Heat and Mass Transfer (vol. 127)
Publisher: Elsevier
DOI: 10.1016/j.icheatmasstransfer.2021.105496
Official URL: https://doi.org/10.1016/j.icheatmasstransfer.2021....
Date Deposited: 06 Apr 2022 16:52
Last Modified: 27 Sep 2024 12:17
Cite in APA 7: Cimmino, M. (2021). An approximation of the finite line source solution to model thermal interactions between geothermal boreholes. International Communications in Heat and Mass Transfer, 127, 5 pages. https://doi.org/10.1016/j.icheatmasstransfer.2021.105496

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