Estimation of Reshaped Profile in Berm Breakwaters Using Experimental Data

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In the area of prediction of the reshaped profile of slopes, Popov (1960) [13] investigated the stable slopes in coastal area by means of physical modeling. The stability of reshaped profile in rubble mound breakwaters with rock or concrete cube armors was studied by Priest et al. (1964) [14]. Van der Meer (1992) released the first version of his computer software, named "BREAKWAT [15]", in order to predict the reshaped profile in berm breakwaters. According to the studies performed by Lykke Anderson (2006), Van der Meer (1992) method predicts the reshaped profile of dynamically stable berm breakwaters (H0T0>70) with acceptable accuracy. But for statically stable berm breakwaters (H0T0>70) "BREAKWAT" software predicts overestimated damage for the breakwater. Besides, in this method, the cross-section area of eroded and accumulated parts are supposed to be equivalent, while according to the experimental results, because of the material compression phenomenon, these two areas are not necessarily equal. Ezabad et al. (2005) [16] presented a computer software named "IB" in which the reshaped profile of a rubble mound structure could be estimated, using some equations based on statistical models.

2. Experimental data
A total number of 412 test results are used in the present study, which are obtained from the experiments carried out by Moghim (2009) [17] and Shekari (2013) [18].
The ranges of these effective parameters covered in the tests are listed in Table 2. The material properties related to different armor and filter layers are listed in Table 3.

3. Model tree
Model tree is one of the machine learning approaches which makes the complex configuration of some modeling subjects appear to be insoluble by dividing them into simpl...

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... of error for these estimations is given in Table 12.

6. Conclusions
In this study with a total of 412 tests and implementing the M5' machine learning approach, seven new formulas for seven fundamental reshaping parameters are driven. By means of these seven equations, a geometric algorithm in a computer program is written which could predict the reshaped profile in seaward slope of berm breakwater. The following results can be drawn from the present study:
- The predictive accuracy of the model trees, although it builds linear regression models, was observed to be high enough in the estimation of the equations for reshaping parameters
- According to Figure 7 to 14 and Table 11, the new program which is introduced in this study shows better results for validation indices comparing to those of BREAKWAT3 in the range of parameters governed by the existing datasets.

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