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Semi-analytical model for temporal clear-water scour at prototype piers

The temporal pier scour process was studied extensively for laboratory scale but remains poorly understood for prototype piers. This research presents a novel semi-analytical solution for temporal clear-water scour at prototype piers with arbitrary initial scour conditions, by integrating the fundamental mass conservation law and the empiricism from previous studies. The proposed solution includes the conventional power-, log- and exponential laws for the initial, growth and decay phases, respectively, in a single model agreeing with recent high-quality data for long durations and prototype scour with a determination coefficient higher than 0.98. The results show that (i) temporal pier scour process is described by two basic parameters: characteristic time tc and equilibrium scour depth η∞; and (ii) the proposed solution may be useful for data correction in relation to η∞ and for real-time bridge scour monitoring during floods. Yet, its predictive power depends on the predictability of tc and η∞, indicating a future research need.