From Science Direct, which is channeling the Journal of Theoretical Biology, comes some work on theropods of the Mesozoic – or, more precisely, on their feet:
Living elephants produce seismic waves during vocalizations and locomotion that are potentially detectable at large distances. In the Mesozoic world, seismic waves were probably a very relevant source of information about the behavior of large dinosaurs. In this work, we study the relationship between foot shape and the directivity pattern of seismic waves generated during locomotion. For enlarged foot morphologies (based on a morphological index) of theropod dinosaurs, there is a marked effect of seismic wave directivity at 20 m. This effect is not important in the foot morphologies of other dinosaurs, including the foot shapes of herbivores and theropods such as therizinosaurids. This directivity produces a lower intensity in the forward direction that would slightly reduce the probability of detection of an ambush predator. Even more relevant is the fact that during the approach of a predator, the intensity of seismic waves detected by potential prey remains constant in the mentioned distance range. This effect hides the predator’s approach, and we call this “seismic wave camouflage”. We also discuss the potential relationship of this effect with enlarged fossil footprints assigned to metatarsal support.
In effect, their feet made it difficult to deduce the range. Only prey that ran, or hid, at the first sign of trouble might have survived – which makes for an odd visual of a wave of panicked critters preceding a big theropod. Any creature trying to decide if it was really necessary to run or if he could skip it ran a significant chance of being lunch.