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Open AccessArticle

A Theoretically Derived Probability Distribution of Scour

1
Department of European and Mediterranean Cultures, University of Basilicata, 75100 Matera, Italy
2
Department of Civil Engineering, Universidad de Concepción, Concepción 4030000, Chile
*
Author to whom correspondence should be addressed.
Water 2018, 10(11), 1520; https://doi.org/10.3390/w10111520
Received: 11 September 2018 / Revised: 20 October 2018 / Accepted: 21 October 2018 / Published: 26 October 2018
(This article belongs to the Section Hydraulics and Hydrodynamics)
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. View Full-Text
Keywords: scour; bridges; piers; Theoretically Derived Distribution of Scour (TDDS) scour; bridges; piers; Theoretically Derived Distribution of Scour (TDDS)
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MDPI and ACS Style

Manfreda, S.; Link, O.; Pizarro, A. A Theoretically Derived Probability Distribution of Scour. Water 2018, 10, 1520.

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