A new method for the prediction of wave runup on vertical piles

Abstract Wave runup is an important issue that needs to be considered in the design of offshore structure such as wind turbine piles. Most of the recent proposed formulas for the estimation of wave runup height on vertical piles are based on the calculation of wave kinematics using an appropriate wave theory. In this study, regular and irregular wave runups were investigated based on scaling arguments using available experimental datasets. Effective nondimensional parameters were found by considering the physics of wave–pile interaction as well as the correlation based sensitivity analysis. Wave height to water depth ratio and wave steepness were identified as the governing parameters for the estimation of runup height to wave height ratio. New formulas were developed for the estimation of wave runup height using a combination of model tree and nonlinear regression techniques. The performance of the new formulas was also compared with those of previous methods using accuracy metrics. The present method does not need any pre-calculation for the determination of wave kinematics and provides accurate prediction of wave runup (i.e. runup height exceeded by 2% of the waves and maximum runup height) compared to the other methods.

[1]  D. Kriebel,et al.  Nonlinear wave interaction with a vertical circular cylinder. Part I: Diffraction theory , 1990 .

[2]  Amir Etemad-Shahidi,et al.  Design of rubble-mound breakwaters using M5 ′ machine learning method , 2009 .

[3]  D. Kriebel NONLINEAR WAVE INTERACTION WITH A VERTICAL CIRCULAR CYLINDER - PART II: WAVE RUN-UP , 1992 .

[4]  John M. Niedzwecki,et al.  Wave Runup and Forces on Cylinders in Regular and Random Waves , 1992 .

[5]  Tom Andersen,et al.  Horns Rev II, 2-D Model Tests: wave run-up on pile , 2006 .

[6]  Amir Etemad-Shahidi,et al.  Predicting wave run-up on rubble-mound structures using M5 model tree , 2011 .

[7]  Tom Andersen,et al.  Design Loads on Platforms on Offshore wind Turbine Foundations with Respect to Vertical Wave Run-up , 2007 .

[8]  M. H. Kazeminezhad,et al.  AN ALTERNATIVE APPROACH FOR INVESTIGATION OF THE WAVE-INDUCED SCOUR AROUND PIPELINES , 2010 .

[9]  Peter Frigaard,et al.  Wave run-up on slender piles in design conditions Model tests and design rules for offshore wind , 2011 .

[10]  Julien De Rouck,et al.  Wave run-up on cylindrical and cone shaped foundations for offshore wind turbines , 2007 .

[11]  Moo-Hyun Kim,et al.  The complete second-order diffraction solution for an axisymmetric body Part 1. Monochromatic incident waves , 1989, Journal of Fluid Mechanics.

[12]  P. Frigaard,et al.  Large scale model test investigation on wave run-up in irregular waves at slender piles , 2013 .

[13]  Roland K. Price,et al.  Machine Learning Approach to Modeling Sediment Transport , 2007 .

[14]  B. Lemehaute An introduction to hydrodynamics and water waves , 1976 .

[15]  Melvin J. Dubnick Army Corps of Engineers , 1998 .

[16]  John M. Niedzwecki,et al.  WAVE INTERACTION WITH TENSION LEG PLATFORMS , 1992 .

[17]  Amir Etemad-Shahidi,et al.  Stability of rubble-mound breakwater using H50 wave height parameter , 2012 .

[18]  R. Hallermeier,et al.  Nonlinear Flow of Wave Crests Past a Thin Pile , 1976 .

[19]  Ian H. Witten,et al.  Data mining: practical machine learning tools and techniques, 3rd Edition , 1999 .

[20]  Seyed Jamshid Mousavi,et al.  APPLICATION OF FUZZY INFERENCE SYSTEM IN THE PREDICTION OF WAVE PARAMETERS , 2005 .

[21]  William J. Easson,et al.  Runup on columns in steep, deep water regular waves , 2001 .

[22]  David L. Kriebel,et al.  Nonlinear Wave Runup on Large Circular Cylinders , 1992 .

[23]  Amir Etemad-Shahidi,et al.  Classification and Regression Trees Approach for Predicting Current-Induced Scour Depth Under Pipelines , 2014 .

[24]  M. H. Kazeminezhad,et al.  Prediction of wave-induced scour depth under submarine pipelines using machine learning approach , 2011 .

[25]  T. Sarpkaya,et al.  Mechanics of wave forces on offshore structures , 1981 .

[26]  Dag Myrhaug,et al.  Wave run-up on slender circular cylindrical foundations for offshore wind turbines in nonlinear random waves , 2010 .