Neutrino-induced extensive air showers can be detected with arrays of antennas on the ground, such as the Radio Detector extension of Auger (Auger-RD). But these neutrino showers depend on extra variables that are unique to them, such as the atmospheric depth of the neutrino interaction or the tau-lepton decay. This makes the phase space of neutrino events much larger than that of hadronic showers. Blindly exploring such a vast phase space would need a truly astronomical number of full simulations. In order to investigate the relevant phase space, we have developed a fast and comprehensive framework for the simulation of the radio emission and its detection, called RDSim. This framework uses simplified approaches to drastically reduce the number of full simulations needed to investigate the vast neutrino event phase space in detail. The RDSim framework makes it possible to investigate events with a very low trigger probability, as well as many geometrical effects due to the array layout.

In this work, we also present first estimates of the Auger-RD apertures for neutrino events, as obtained with RDSim, leading to a better understanding of the strengths and weaknesses of the detector. It also constrains the phase space of detectable events, allowing the optimization of dedicated full simulation libraries needed for future, more detailed studies of the Auger-RD neutrino performance.