The optimization of open-loop shallow geothermal systems, which includes both design and operational aspects, is an important research area aimed at improving their efficiency and sustainability and the effective management of groundwater as a shallow geothermal resource. This paper investigates various approaches to address optimization problems arising from such research questions. The identified optimization approaches are thoroughly analyzed based on criteria such as computational efficiency and applicability. Moreover, a novel classification scheme is introduced that categorizes the approaches according to the type of groundwater simulation model (numerical or simplified) and the optimization algorithm used (gradient-based or derivative-free). Finally, a comprehensive review of existing approaches is provided, highlighting their strengths and limitations and offering recommendations for both the use of existing approaches and the development of new ones in this field.

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