Thermal response of slender geothermal boreholes to subannual harmonic excitations

M Hermanns, S Ibáñez - SIAM Journal on Applied Mathematics, 2019 - SIAM
The thermal response of geothermal heat exchangers after 25, 50, or even 100 years of
operation plays a fundamental role in their correct sizing. A possible approach is to use time …

Model order reduction for the input–output behavior of a geothermal energy storage

PH Takam, R Wunderlich - Journal of Engineering Mathematics, 2024 - Springer
In this article, we consider a geothermal energy storage system in which the spatio-temporal
temperature distribution is modeled by a heat equation with a time-dependent convection …

Frequency-dependent thermal resistance of vertical U-tube geothermal heat exchangers

BS Tilley, VC Yang, JC Baiense, S Evans - Journal of Engineering …, 2017 - Springer
Geothermal ground-source heat pumps have been used for nearly 30 years as an
environmentally friendly alternative to fossil fuel systems. The limitations on a wider range of …

[PDF][PDF] On Mathematical Modeling of Slinky Geothermal Heat Systems

KH Chen - 2015 - core.ac.uk
The purpose of this project was to mathematically model a Slinky-Coil Geothermal Heating
System. We first consider and discuss the difficulties of modeling one loop of a slinky coil …

[PDF][PDF] A Tutorial Approach to the Analysis of a Geothermal Heating Problem

E Ostrom - 2014 - core.ac.uk
This report covers the background from calculus, ordinary differential equations, including
initial value problems and boundary value problems, that a student would need to use in the …