In this study, we review the principles of blast array design for vibration reduction and we present a parametric Laplace-domain model to predict source time functions for mine blasts that accounts for the relation between charge weight and frequency. We developed the model for one of Europe's largest iron ore mines, Mt. Erzberg, Austria, where we repeatedly monitored production blasts with arrays of 80–125 seismic sensors. Our model enables us to simulate not only resonance modes and Doppler shifts but also time-domain waveforms. We use the normalized cross-correlation coefficient of observed and synthetic waveforms to calibrate the model. The overall good match of our predictions suggests that our modelling of the source time functions could be used for more advanced predictions of the peak ground velocity, which is essential to designing charge weight distributions in modern mining operations.