Heat transfer in a borehole heat exchanger: Frequency domain modeling

Griet Monteyne, Saqib Javed, Gerd Vandersteen

Research output: Contribution to journalArticlepeer-review


This paper proposes a new frequency domain method to model the heat transfer between the injected/extracted heat and the temperature of the fluid exiting a borehole heat exchanger. The method is based on in situ measurements and focuses particularly on the short-term borehole heat transfer. It uses a rational function of the Warburg variable in the Laplace domain to model the borehole heat transfer. The rational model is transformed to a time domain model using inverse Laplace transformation. This time domain model makes it possible to calculate the temperature response on a random heat variation signal. The paper also demonstrates a new way to perform the classical thermal response test. Instead of injecting a constant amount of heat, the experiments have been performed using multiple short-duration heat injections. In this way, the obtained rational heat transfer model contains information about both the short- and the long-term heat transfer. The results obtained using the proposed modeling method are compared with those obtained from a state-of-the-art analytical method. The time domain model can be used to design a controller to optimize the performance of a Ground Source Heat Pump system, the efficiency of which depends strongly on the temperature of the fluid exiting the borehole.
Original languageEnglish
Pages (from-to)129-139
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Publication statusPublished - 2014
Externally publishedYes

Subject classification (UKÄ)

  • Building Technologies
  • Energy Systems


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