“…Furthermore, simple dimensionless analytical solutions are easy to understand and fast to evaluate while being sufficiently accurate, which makes them useful for governance and policymaking (Marazuela et al., 2022; Pophillat, Attard, et al., 2020; Regnier et al., 2023; Serianz et al., 2022). Such analytical solutions may also be used to replace or complement computationally intensive numerical simulations, or to rapidly identify meaningful regions of parameter space for more detailed numerical investigation, especially in urban settings where multiple ATES systems are located within a small area, which is a scenario that might otherwise require highly complex numerical models (Attard et al., 2020; Burns et al., 2020; Lyden et al., 2022; Previati et al., 2022; Walch et al., 2021). Simple analytical solutions are also useful for interpreting (thermal) tracer tests to characterize aquifer properties (Del Val et al., 2021; Park & Lee, 2021; Schroth & Istok, 2005; Tang & van der Zee, 2021a), as the alternatives of solving inverse problems with numerical models or exact analytical solutions with integral transforms, are highly computationally intensive (Jung & Pruess, 2012; Regnier et al., 2022).…”