Skip to Main Content
Therefore, Equation (8) is applied to develop the EPR, MT, and GEP models for evaluation of scour depth around bridge piers due to debris accumulation effects. Two hundred and forty-three scour data sets in the form of input–output parameters for the models' development were collected from the experimental investigations of Melville & Dongol (1992), Lagasse et al. (2010a), Franzetti et al. (2011), Pagliara & Carnacina (2011a), and Sok et al. (2015). Table 1 presents the range of data sets. Of all data sets, about 75% (182 data sets) and 25% (61 data sets) are randomly selected to perform the training and testing stages, respectively. These data sets include four types of debris accumulations with different geometries. General configurations of rectangular, triangular–conical, and circular are illustrated in Figure 2. For square debris accumulation (Figure 2(a)), it can be assumed that is be equal to the parameter. Additionally, Table 2 indicates many empirical equations based regressive models used to evaluate the scour depth around bridge pier with debris accumulation.
Table 1

Ranges of input–output parameters for the scour depth under debris prediction

ReferenceT*U/UcΔAD/bD/d50dd/bh/Dkd(T*)
Melville & Dongol (1992)  407,625.88–5,195,659.4 0.952–0.965 0.00688–0.4387 0.038 35.714 0.0789–0.263 1.724–6.034 1.072–1.798 
Sok et al. (2015)  6,057.1–30,780 0.52–0.744 0–0.143 0.0833–26.083 172.41 0.0833–0.3333 3.5–5 0.083–0.562 
Lagasse et al. (2010a)  6,265.5–887,160.88 0.58–1.66 0.0279–0.337 0.0052–0.0425 17.857–145.71 0.01047–0.7625 2.99–24.4 0.112–11.046 
Pagliara & Carnacina (2011a)  1,000–375,000,000 0.49–1 0–12.91 0.05–0.12 11.36–50 0–1 2.67–5.75 1–2.95 
ReferenceT*U/UcΔAD/bD/d50dd/bh/Dkd(T*)
Melville & Dongol (1992)  407,625.88–5,195,659.4 0.952–0.965 0.00688–0.4387 0.038 35.714 0.0789–0.263 1.724–6.034 1.072–1.798 
Sok et al. (2015)  6,057.1–30,780 0.52–0.744 0–0.143 0.0833–26.083 172.41 0.0833–0.3333 3.5–5 0.083–0.562 
Lagasse et al. (2010a)  6,265.5–887,160.88 0.58–1.66 0.0279–0.337 0.0052–0.0425 17.857–145.71 0.01047–0.7625 2.99–24.4 0.112–11.046 
Pagliara & Carnacina (2011a)  1,000–375,000,000 0.49–1 0–12.91 0.05–0.12 11.36–50 0–1 2.67–5.75 1–2.95 
Table 2

List of empirical equations for prediction of pier scour depth with debris effects

ReferenceEquationEquation no.
Pagliara & Carnacina (2011a)  
formula
 
(9) 
Pagliara & Carnacina (2011a)  
formula
 
(10) 
Pagliara & Carnacina (2011b)  
formula
 
(11) 
Pagliara & Carnacina (2011b)  
formula
 
(12) 
ReferenceEquationEquation no.
Pagliara & Carnacina (2011a)  
formula
 
(9) 
Pagliara & Carnacina (2011a)  
formula
 
(10) 
Pagliara & Carnacina (2011b)  
formula
 
(11) 
Pagliara & Carnacina (2011b)  
formula
 
(12) 
Figure 2

Various configurations of debris accumulations used in the Melville & Dongol (1992), Pagliara & Carnacina (2011a), and Sok et al. (2015) experiments with: (a) rectangular; (b) triangular-conical; (c) circular geometries.

Figure 2

Various configurations of debris accumulations used in the Melville & Dongol (1992), Pagliara & Carnacina (2011a), and Sok et al. (2015) experiments with: (a) rectangular; (b) triangular-conical; (c) circular geometries.

Close Modal

or Create an Account

Close Modal
Close Modal