Level III Reliability Design of an Armor Block of Rubble Mound Breakwater Using Probabilistic Model of Wave Height Optimized for the Korean Sea Wave Conditions and Non-Gaussian Wave Slope Distribution

Yong Jun Cho

doi:10.3390/jmse9020223

Abstract

In this study, a Level III reliability design of an armor block of rubble mound breakwater was developed using the optimized probabilistic wave height model for the Korean marine environment and Van der Meer equation. To demonstrate what distinguishes this study from the others, numerical simulation was first carried out, assuming that wave slope follows Gaussian distribution recommended by PIANC. Numerical results showed that Gaussian wave slope distribution overpredicted the failure probability of armor block, longer and shorter waves, and on the contrary, underpredicted waves of the medium period. After noting the limitations of Gaussian distribution, some efforts were made to develop an alternative for Gaussian distribution. As a result, non-Gaussian wave slope distribution was analytically derived from the joint distribution of wave amplitude and period by Longuet–Higgins using the random variables transformation technique. Numerical results showed that non-Gaussian distribution could effectively address the limitations of Gaussian distribution due to its capability to account for the nonlinear resonant wave–wave interaction and its effects on the wave slope distribution that significantly influences the armor block’s stability. Therefore, the non-Gaussian wave slope distribution presented in this study could play an indispensable role in addressing controversial issues such as whether or not enormous armor blocks like a Tetrapod of 100 t frequently mentioned in developing countermeasures against rough seas due to climate change is too conservatively designed.

Highlights

Water waves generated offshore by various mechanisms propagate toward nearby beaches, and during this process, waves become irregular due to the variability inherent in the marine environment
The limitation of the deterministic design method is on full display on the enormous armor blocks such as a TTP of 100 t frequently mentioned in developing countermeasures against rough seas due to climate change, leading to a critique raised in the coastal engineering community that the port’s outer facilities in Korea are too conservatively designed
Reliability design was performed based on the probability model preferred in the United States [3,4,5]

Summary

Introduction

Water waves generated offshore by various mechanisms propagate toward nearby beaches, and during this process, waves become irregular due to the variability inherent in the marine environment. Armor blocks of the port’s outer facilities have been designed using a deterministic design method based on the Hudson equation [2] in. The limitation of the deterministic design method is on full display on the enormous armor blocks such as a TTP of 100 t frequently mentioned in developing countermeasures against rough seas due to climate change, leading to a critique raised in the coastal engineering community that the port’s outer facilities in Korea are too conservatively designed

Objectives

Methods

Conclusion