Multiple Nonlinear Regression Analysis for the Stability of Non-overtopping Perforated Quarter Circle Breakwater

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RESEARCH ARTICLE

Multiple Nonlinear Regression Analysis for the Stability of Non-overtopping Perforated Quarter Circle Breakwater S. Binumol 1 & Subba Rao 2 & Arkal Vittal Hegde 2 Received: 25 December 2018 / Accepted: 23 August 2019 / Published online: 12 October 2020 # Harbin Engineering University and Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract Breakwaters have been built throughout the centuries for the coastal protection and the port development, but changes occurred in their layout and criteria used for the design. Quarter circle breakwater (QBW) is a new type evolved having advantages of both caisson type and perforated type breakwaters. The present study extracts the effect of change in the percentage of perforations on the stable conditions of seaside perforated QBW by using various physical models. The results were graphically analyzed using dimensionless parameters and it was concluded that there is a reduction in dimensionless stability parameter with an increase in steepness of the wave and change in water depth to the height of breakwater structure. Multiple non–linear regression analysis was done and the equation for the best fit curve with a higher regression coefficient was obtained by using Excel statistical software—XLSTAT. Keywords Breakwater . Perforations . Regression analysis . Stability . Wave steepness . Water depth

1 Introduction Ports are considered to be the most important transit locations to carry out the world trade through seaways, which need to be protected from the disturbances due to the incoming waves. A seaport plays an important role in the sector of sea transportations, exports, imports, tourism, and travel, and thus, it is an important ingredient of economic growth. Water transport is a major economy input for a nation with over 82% of world trade in tons and 94% of world trade in tons-kilometers which are moved by shipping and thereby through ports. Article Highlights • Stability of perforated quarter circle breakwater based on physical models and empirical approaches is studied. • An equation is developed for the stability parameter using the multiple nonlinear regression analysis. * S. Binumol [email protected] 1

Department of Civil Engineering, Shinas College of Technology, Sultanate of Oman & formerly Research Scholar, Department of Applied Mechanics & Hydraulics, National Institute of Technology Karnataka, Surathkal, Mangalore, India

2

Department of Applied Mechanics & Hydraulics, National Institute of Technology Karnataka, Surathkal, Mangalore, India

The basic requirement of any port, harbor, or marina is a sheltered area free from the sea waves. In the coastal areas where natural protection from sea waves is not available, the development of harbor requires artificial protection for the creation of calm areas. Large structures such as rubble mound breakwaters or vertical wall breakwaters were constructed in major harbors and nearer to other marine structures where more tranquility conditions are essential for its sustainabil