Résumé
The relationship between concentration and discharge (C/Q) is widely studied to understand the behavior of solute transport in complex natural media during storm events. The causes of C/Q hysteresis are due to the delay between the signals of C and Q at a given observation point. Many indices are used to characterize the C/Q hysteresis curve, like the hysteresis index (HI) and the flushing index (FI). The limitation of relating C/Q hysteresis relationships or indices to storm event parameters is because, in real-world situations, we ignore and do not control storm event parameters. This paper is the first attempt to study the variability of C/Q relationships under a well-known storm event on a controlled experimental channel. We tested nine scenarios where the storm event consisted of a triangular input signal with a constant peak and a variable duration. The main parameter of this study is the storm event duration. We calculated known indices, like the hysteresis index (HI) and the flushing index (FI), and we introduced the following two new indices: the saturation index (SI) and the bisector index (BI). Then we related all calculated indices to the storm duration parameter. The importance of our study is that it presents, for the first time, a quantitative description of how the magnitude of the hysteresis indices varies with the storm duration parameter. We found that the most popular HI index does not follow a monotonic behavior for increasing storm duration. Conversely, the FI index and the two newly introduced indices (SI and BI) follow a monotonic behavior for increasing storm duration according to a Fermi-type function. The SI varies between 0.11 and 0.93, while the BI varies between 1 and 0.32 for an increasing storm event duration.