Numerical modelling of geothermal vertical heat exchangers for the short time analysis using the state model size reduction technique

According to the introduction of a dynamic operating mode in ground-coupled heat pump systems, a short time analysis within and around borehole heat exchangers is required in the modern geothermal system simulation. A numerical modelling could be a proper answer for this challenge. However, the numerical model is time consuming and necessitates a large memory particularly in such large systems. Therefore, the state model size reduction technique has been applied in this paper with various numerical techniques particularly in the finite elements method. As a result, the reduced model developed is: (a) relevant with a validation using a traditional analytical model (using 100% modes) and (b) efficient in calculation time, only using 6% modes and consequently reducing time consumption up to 95%.