Revealing the hidden signature of fault slip history in the morphology of degrading scarps

Multiple uplift events, either by discrete earthquakes or creep, will steepen and thus apparently rejuvenate fault scarps, raising the possibility that fault slip history leaves a hidden morphological signature. Here we explore this idea by proposing a new analytical formulation to simulate the scarp degradation generated by faulting at regular intervals. Our formulation fills the gap between the single rupture and the creeping fault proposed solutions. We show that the morphology of degrading fault scarps generated by one major or multiple minor earthquakes with the same final total uplift deviates by as much as 10-20%. Our inversion approach highlights the importance of trade-offs between fault slip history and erosion intensity. An identical topographic profile can be obtained either with a stable creep and an intense erosion or with a single seismic event and a weak erosion. Finally, our findings reveal that the previously noticed variation of the diffusion coefficient with time may be an artifact related to the kinematics of faulting. These inferences, derived from the simplest possible diffusion model, are likely to be even more pronounced in nature.