The Theoretically Derived Probability Distribution of Scour

@article{manfreda2018scourdist,
  author  = {Manfreda, S. and Link, O. and Pizarro, A.},
  title   = {{The theoretically derived probability distribution of scour}},
  journal = {Water},
  year    = {2018},
  volume  = {10},
  pages   = {1520},
  doi     = {10.3390/w10111520}
}

Based on recent contributions regarding the treatment of unsteady hydraulic conditions in the state-of-the-art scour literature, theoretically derived probability distribution of bridge scour is introduced. The model has been derived assuming a rectangular hydrograph shape with a given duration, and a random flood peak, following a Gumbel distribution. A model extension for a more complex flood event has also been presented, assuming a synthetic exponential hydrograph shape. The mathematical formulation can be extended to any flood-peak probability distribution. The aim of the paper is to move forward the current approaches adopted for the bridge design, by coupling hydrological, hydraulic, and erosional models, in a mathematical closed form. An example of the application of the proposed distribution has been included with the aim to provide a guidance for the parameters estimation.

How to cite: Manfreda S., O. Link, A. Pizarro, The Theoretically Derived Probability Distribution of Scour, Water, 10, 1520, 2018. [pdf]