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The design of heat exchanger fields is a key phase to ensure the long-termsustainability of such renewable energy systems. This task has to beaccomplished by modelling the relevant processes in the complex system made upof different exchangers, where the heat transfer must be considered withinexchangers and outside exchangers. We propose a mathematical model for thestudy of the heat conduction into the soil as consequence of the presence ofexchangers. Such a problem is formulated and solved with an analyticalapproach. On the basis of such analytical solution, we propose an optimisationprocedure to compute the best position of the exchangers by minimising theadverse effects of neighbouring devices. Some numerical experiments are used toshow the effectiveness of the proposed method also by taking into account areference approximation procedure of the problem based on a finite differencemethod.

Inverse heat conduction to model and optimise a geothermal field