The time-varying transport dynamics of complex hydrodynamic systems with long transit times
are difficult to observe due to the need for multiple tracer injections. Where only one or two distinct tracers
are available, overprinting in the output concentrations limits the injection frequency. In this letter we
propose an experimental method (the Periodic Tracer Hierarchy) that allows overprinted breakthrough
curves to be decomposed into contributions from multiple injections of the same tracer, so long as the
transporting flow is periodic. This method allows the time-varying transit time distributions to be observed
efficiently while making no a priori assumptions about the transport processes operating in the system.
Simulations of transport through a soil column subject to a periodic sequence of irrigation events
demonstrate that the distinct transit time distributions associated with each irrigation event can be
retrieved almost exactly.
Geophysical Research Letters. 41(5). 1567–1575