4. Conclusions
The present paper has experimentally investigated wave-induced backfilling processes beneath submarine pipelines, following initial scouring due to a steady current (so-called current-to-wave backfilling scenarios). Backfilling induced by both regular and irregular waves has been considered, with both yielding similar results. The results demonstrate that the initially scoured profile will back- fill to a new equilibrium scour depth governed by the new wave climate, generally consistent with previous experimental (Fredsøe et al., 1992) and numerical (Fuhrman et al., 2014) results involving wave-to-wave backfilling scenarios. Making use of video camera recordings, the time series of the scour depth for each experiment has been obtained and analyzed, yielding corresponding backfilling time scales via integration. For the first time the (current-to-wave) backfilling time scale for submarine pipelines has been quantified in terms of the governing Shields parameter, leading to the regression equation: T∗ b = 0.3h−5/3, presented as Eq. (15) within the paper. Importantly, this is a full order of magnitude larger than for the corresponding well-known scour time scale. No additional dependence of the backfilling time scale on the Keulegan-Carpenter number has been detected from the present data set. While the new expression is strictly valid only for currentto-wave backfilling scenarios, comparison with previously measured wave-to-wave backfilling time scales (Fredsøe et al., 1992) suggests that it can likely be taken as an upper limit for more general wave-induced backfilling situations, provided that the initial (prebackfilling) scour depth does not exceed that expected from a pure current (approximately S0/D =0.6—0.8). The experimental campaign has additionally been complemented with similar numerical simulations (using regular waves), based on a fully-coupled hydrodynamic and morphodynamic CFD model (Jacobsen et al., 2014), extending previous pipeline scour-related applications of Fuhrman et al. (2014) and Larsen et al. (2016). Comparison of the numerical and experimental results demonstrates the ability of the CFD model to reasonably simulate the current-to-wave backfilling process, both in terms of the achieved new wave-induced equilibrium scour depths as well as the corresponding backfilling time scales.