vii TABLE OF CONTENTS CHAPTER TITLE DECLARATION ii DEDICATION iii ACKNOWLEDGEMENT iv ABSTRACT v ABSTRAK vi TABLE OF CONTENTS vii LIST OF TABLES xii LIST OF FIGURES xiv LIST OF ABBREVIATIONS xix LIST OF SYMBOLS xx LIST OF APPENDICES 1 PAGE INTRODUCTION xxii 1 1.1 Introduction 1 1.2 Background of the Problem 2 1.2.1 Erosion Control and Beach Nourishment in Malaysia 2 1.2.2 Study Shoreline 3 1.2.3 5 Beach Nourishment Design and Depths of Closure 1.3 Objectives of the Study 7 1.4 Benefits of the Study 7 2 LITERATURE REVIEW 2.1 Introduction 2.2 Cross-shore Sediment Transport and Equilibrium 8 8 Beach Profiles 8 2.3 Definition of Depth of Closure 9 2.4 Methods of Determination 12 2.4.1 Predictive Methods 12 2.4.2 Depth of Closure from Profile Surveys 15 2.4.3 Depth Change Criterion 16 2.5 Application of Depth of Closure 18 2.6 Depth of Closure – Malaysian Context 19 2.7 Summary 21 3 RESEARCH METHODOLOGY 23 3.1 Introduction 23 3.2 Scope of the Research 24 3.3 Research Methodology 27 3.3.1 Data Sets 27 3.3.2 Primary Data Collection 28 3.3.3 Numerical Modelling 29 3.3.4 Analysis 30 3.4 4 3.3.5 Depths of Closure from Beach Profile Data 30 3.3.6 31 Depth of Closure from Empirical Formulae Summary FIELD DATA ANALYSIS 31 33 4.1 Introduction 33 4.2 Study Area 34 ix 4.3 Environmental and Climatic Conditions 35 4.4 Data Sets 36 4.5 Beach Profile Survey 36 4.5.1 Survey #1 - 1998 37 4.5.2 Survey #2 - 1999 37 4.5.3 Survey #3 - 2000 38 4.5.4 Survey #4 - 2004 38 4.5.5 Survey Data Selection 38 4.5.6 42 4.6 Sediment Data 42 4.7 Wave 44 4.7.1 UKMO Design Wave Analysis 45 4.7.2 Measured Waves 50 4.8 Tidal Heights 52 4.9 Wind 54 4.10 Summary 55 5 NUMERICAL MODELLING 57 5.1 Introduction 57 5.2 Model Description 57 5.3 Numerical Modelling 59 5.3.1 Model Area and Orientation 59 5.3.2 Wave Breaking Conditions 59 5.4 6 Survey Data Filtering 5.3.3 Calibration 61 5.3.4 66 Prediction of Nearshore Waves from Wave Model Summary 77 DETERMINATION OF DEPTHS OF CLOSURE 79 x 6.1 Introduction 79 6.2 Depth of Closure – Scope and Criteria 80 6.2.1 Definition 80 6.2.2 Algorithm for Determination of Dc from Profile Surveys 81 6.3 Predicted Depth of Closure, Dl,t 84 6.4 Monsoon Dc (1998-1999 surveys) 84 6.4.1 Profile Descriptions and Application of Algorithm 84 6.4.2 Monsoon Dc at Ch.3100 and Ch.2700 84 6.4.3 Monsoon Dc at Ch.2300 and Ch.1900 87 6.4.4 Monsoon Dc at Ch.1500, Ch.1200 and Ch.800 88 6.4.5 Monsoon Dc at Ch.400, Ch.200 and Ch.00 91 6.4.6 Monsoon Dc at Ch.-400, Ch.-900 and Ch.-1400 95 6.4.7 Summary for Monsoon Dc 97 6.5 Annual Dc (1999-2000) 100 6.5.1 Profile Description and Application of Algorithm 100 6.5.2 Annual Dc at Ch.3100 101 6.5.3 Annual Dc at Ch.2700 102 6.5.4 Annual Dc at Ch.1500 103 6.5.5 Annual Dc at Ch.1200 104 6.5.6 Annual Dc at Ch.800 105 6.5.7 Annual Dc at Ch.400 106 6.5.8 Annual Dc at Ch.200 107 6.5.9 Annual Dc at Ch.00 108 6.5.10 Annual Dc at Ch-400, Ch.-900 and Ch.-1400 109 6.6 Summary for Annual Dc (1999-2000) 111 6.7 Time-interval Dc (1999-2004) 113 6.7.1 Profile Description and Application of Algorithm 113 6.7.2 Five-year Dc at Ch.3100 114 6.7.3 Five-year Dc at Ch.2700 115 xi 6.7.4 Five-year Dc at Ch.1500 116 6.7.5 Five-year Dc at Ch.1200 117 6.7.6 Five-year Dc at Ch.800 118 6.7.7 Five-year Dc at Ch.400 119 6.7.8 Five-year Dc at Ch.200 120 6.7.9 Five-year Dc at Ch.00 121 6.7.10 Five-year Dc at Ch.-400, Ch.-900 and Ch.-1400 122 6.8 Summary of 5-year Dc (1999, 2000 and 2004) 124 6.9 Comparison of Event and Time-Interval Dc 126 6.10 Measured Dc vs. Hallermeier’s Equation 127 6.11 Simplified Dc Equations 129 6.12 Observation 131 CONCLUSIONS AND RECOMMENDATIONS 133 7.1 General Conclusions 133 7.2 Suggestions for Future Research 135 7 7.2.1 Dc Criteria and Survey Techniques 135 7.2.2 Wave Data 135 7.2.3 Profile Surveys and Bar Migration Phenomena 136 7.2.4 136 Determining a predictive formula for local Dc REFERENCES APPENDICES A - E 138 142-174 xii LIST OF TABLES TABLE NO. TITLE PAGE 4.1 Profile Survey Data Register 40 4.2 Starting And Ending Points Of Selected Survey Dataset (13 profile lines) off Pantai Sabak, Kelantan 41 4.3 Statistics of UKMO Wave Dataset 47 4.4 Tidal Levels Along Study Shoreline (meters, LSD) 53 4.6 Mean High Water (meters, LSD) 53 4.7 Difference between MSL and MLW at Study Coastline 54 4.8 Difference between MSL and MHW at Study Coastline 54 5.1 Results of Wave Model Calibration 63 5.2 Location of Offshore Points in Model Grid for Extraction of Wave Parameters Predicted Wave Heights At 10 M Depth Based On Offshore wave of H0.137 = 2.9 m and Tm = 6.3 secs 74 Predicted Wave Heights at 10 m depth Based On Offshore Wave of H0.027 = 3.13 m and Tm = 6.54 secs 75 6.1 Depths of Closure (SDDC) for Monsoon Event 1998-1999 99 6.2 Depths of Closure (FDC) for Monsoon Event 1998-1999 99 6.3 Annual Dc (May 1999 – May 2000) 111 6.4 Five-year Dc (1999, 2000, 2004 surveys) for beach-fill design 125 5.3 5.4 67 6.5 Outer Closure Depths Dco (MLW) from Profile Plots 127 6.6 Effective Dc and Predicted depth of closure, Dl,t , MLW 128 6.7 Dc from simplified equations compared with effective Dc 130 6.8 Dc from simplified equation compared to Dco 130 xiv LIST OF FIGURES NO. 1.1 TITLE PAGE Study Area - 4.5 km of Shoreline From Pantai Dasar Sabak to South of Kg. K.S.P. Besar (Sungai Pengkalan Datu) 4 Evolution of Beach-fill based on Theory of Equilibrium Profile 6 Zonation Of Seasonal Beach Profile (Hallermeier 1978, 1981); extracted from Rijkswaterstaat (1987) 10 3.1 Research Model 26 4.1 Location of Study Area 34 4.2 Close-up of Study Area from Kg. Pantai Dasar Sabak to Kg. Senok 35 4.3 Profile Lines At The Study Area 39 4.4 Distribution of sediments along Pantai Sabak 1998, 1999 and 2004 (d50 averaged across all chainages) 43 Distribution of bed sediments along Pantai Sabak 1998-1999. Negative chainages are south of the breakwater 43 4.6 Distribution of bed sediments along Pantai Sabak 2004 44 4.7 Location of Wavebuoy And UKMO Wavedata Source Relative to Kelantan Coast. 45 Offshore Significant Wave Heights at 6.39N 102.92E; 28/05/1999 – 30/07/2004 46 4.9 Histogram of UKMO Waves 47 4.10 Wave Height vs. Wave Period for UKMO Offshore Wave Records 1999 to 2004 48 1.2 2.1 4.5 4.8 xv 4.11 H0.137 Wave from 1999-2000 UKMO Wave Data 49 4.12 H0.027 Wave from 1999-2004 UKMO Wave Data 50 4.13 Wave Buoy Measurements at E19236.3 N33957 (Kelantan Cassini) off Pantai Sabak, Kelantan Coast; 30 June to 13 July 2004. 51 Comparison of Offshore (UKMO Data) and Nearshore Waves Measured at the -12 m LSD Contour 51 Location Of Water Level, Current and Wave Stations At Study Area. 52 Wind Rose for UKMO Offshore Wind Data (20 m Above MSL) 55 Orientation of rectangle model layout for the input (offshore) wave approach conditions N330o, N0o, N30o, N60o, N90o and N120o 58 Sensitivity of kN parameter and location of breaking wave based on waves in July 62 Water level measurements at Pantai Sabak during calibration period 64 Wave Model Calibration – Wave Heights (for offshore waves from 0 to 120 degrees) 64 Wave Model Calibration – Wave Directions (for offshore waves from 0 to 120 degrees) 65 5.6 Location of extraction points in wave model 67 5.7 Wave Refraction Diagram; H0.137 = 2.9, Tm = 6.3 sec; North approach. 68 Wave Refraction Diagram; H0.137 = 2.9, Tm = 6.3 secs; N30o approach. 69 Wave Refraction Diagram; H0.137 = 2.9 m, Tm = 6.3 secs; N60o approach. 69 Wave Refraction Diagram; H0.137 = 2.9 m, Tm = 6.3 secs; N90o approach. 70 Wave Refraction Diagram; H0.137 = 2.9 m, Tm = 6.3 secs; N120o approach. 70 4.14 4.15 4.16 5.1 5.2 5.3 5.4 5.5 5.8 5.9 5.10 5.11 xvi 5.12 Wave Refraction Diagram; H0.027 = 3.13 m, Tm = 6.54 secs; North approach. 71 Wave Refraction Diagram; H0.027 = 3.13 m, Tm = 6.54 secs; N30o approach. 71 Wave Refraction Diagram; H0.027 = 3.13 m, Tm = 6.54 secs; N60o approach. 72 Wave Refraction Diagram; H0.027 = 3.13 m, Tm = 6.54 secs; N90o approach. 72 Wave Refraction Diagram; H0.027 = 3.13 m, Tm = 6.54 secs; N120o approach. 73 Predicted Maximum Wave Heights at 10-m depth ACD contour along Pantai Sabak, Kelantan. 76 Predicted Wave Heights at 10-m depth (ACD) contour along Pantai Sabak, Kelantan averaged over all directions 77 6.1 Monsoon Dc at Ch.3100 85 6.2 Monsoon Dc at Ch.2700 86 6.3 Monsoon Dc at Ch.2300 87 6.4 Monsoon Dc at Ch.1900 88 6.5 Monsoon Dc at Ch.1500 89 6.6 Monsoon Dc at Ch.1200 90 6.7 Monsoon Dc at Ch.800 91 6.8 Monsoon Dc at Ch.400 92 6.9 Monsoon Dc at Ch.200 93 6.10 Monsoon Dc at Ch.00 94 6.11 Monsoon Dc at Ch.-400 95 6.12 Monsoon Dc at Ch.-900 (slope 1:400) 96 6.13 Monsoon Dc at Ch.-1400; closure is not defined with SDDC method at Ch.-1400 97 5.13 5.14 5.15 5.16 5.17 5.18 xvii 6.14 Comparison of SDDC and FDC methods in determining Monsoon Dc 100 6.15 Annual Dc at Ch.3100 101 6.16 Annual Dc at Ch.2700 102 6.17 Annual Dc at Ch.1500 103 6.18 Annual Dc at Ch.1200 104 6.19 Annual Dc at Ch.800 105 6.20 Annual Dc at Ch.400 106 6.21 Annual Dc at Ch.200 107 6.22 Annual Dc at Ch.00 108 6.23 Annual Dc at Ch.-400 109 6.24 Annual Dc at Ch. -900 110 6.25 Annual Dc at Ch.-1400 110 6.26 Radar Graph - Comparison between Dl,1-yr and measured Annual Dc 112 Variation in Dl,1-yr and measured Annual Dc along the study area 112 5-year Dc at Ch.3100 - Comparison of SDDC and mean of FDC between consecutive surveys at Ch.3100 114 6.29 5-year Dc at Ch.2700 115 6.30 5-year Dc at Ch.1500 116 6.31 5-year Dc at Ch.1200 117 6.32 5-year Dc at Ch.800 118 6.33 5-year Dc at Ch.400; three closure points were detected 119 6.34 5-year Dc at Ch.200 120 6.35 5-year Dc at Ch.00 121 6.36 5-year Dc at Ch.-400 122 6.27 6.28 xviii 6.37 5-year Dc at Ch.-900 123 6.38 5-year Dc at Ch.-1400 123 6.39 Comparison of 5-year Dc (effective Dc for beach-fill design), Dco (outermost Dc) and Dl,5-yr 125 Variation in 5-year Dc (effective Dc for beach-fill design), Dco (outermost Dc) and Dl,5-yr across the study area 126 6.41 Dc along Pantai Sabak, Kelantan 129 6.42 Dc based on different closure criteria 132 6.40 xix LIST OF ABBREVIATIONS CED Coastal Engineering Division CEM Coastal Engineering Manual cm centimeter DHI Danish Hydraulic Institute DID Department of Irrigation and Drainage Malaysia DSMM Department of Survey and Mapping Malaysia HAT Highest Astronomical Tide Kg. Kampung; village (malay) LAT Lowest Astronomical Tide LSD Land Survey Datum m meter mm millimeter MSL Mean Sea Level MHW Mean High Water MHHW Mean Higher High Water MLHW Mean Lower High Water MLW Mean Low Water MHLW Mean Higher Low Water MLLW Mean Lower Low Water Sg. Sungai; river (malay) SSMO Synoptic Shipboard Meteorological Observation UKMO United Kingdom Meteorological Office xx LIST OF SYMBOLS Dc depth of closure Dc,1-yr depth of closure over 1 year Dc,5-yr depth of closure over 5 years Dci depth of closure, innershore; from profile survey Dcm depth of closure, middleshore; from profile survey Dco depth of closure, outershore; from profile survey Dl predicted depth of closure; water depth at the seaward limit of significant sediment transport Dl,t predicted depth of closure over t years Dl,1-yr predicted depth of closure over 1 year Dl,5-yr predicted depth of closure over 5 years d water depth di lower limit of the shoal zone dl lower limit of the littoral zone d50 size of material of which 50% is finer g acceleration due to gravity H predicted depth of closure (Birkemeier's equation) hc predicted depth of closure (Hallermeier's equation) Hm0 energy-based wave height of the zeroth moment Hs significant wave height Hs50 median annual significant wave height Hl,t significant wave height exceeded 12 hours over t years H0.137 significant wave height exceeded 12 hours in a year H0.027 significant wave height exceeded 12 hours in t = 5 years He,t non-breaking significant wave height that is exceeded 12 hours per t years or (100/730t) % of the time kN Nikuradse's roughness parameter xxi s standard deviation t time T wave period associated with a particular wave height Te, t wave period corresponding to He,t Tm mean wave period Tp peak wave period Ub maximum horizontal wave-induced near-bed velocity xi measurement xm mean of all measurements n number of measurements σH annual standard deviation of significant wave height Φc sediment entrainment parameter γ’ ratio of the difference in density between sediment and fluid density γ1 wave breaking parameter which controls wave steepness condition γ2 wave breaking parameter which controls limiting water depth condition α adjustable constant in energy dissipation equation xxii LIST OF APPENDICES APPENDIX A TITLE Profile Surveys from the coastline of Pantai Sabak, Kelantan 1998, 1999, 2001 and 2004 B E 159 Summary of Grain Size Distribution from Pantai Sabak, Kelantan Surveys 1998, 1999, 2004 D 142 Description of United Kingdom Meteorological Office (UKMO) Dataset C PAGE 165 Tidal Data From Pantai Sabak, Kelantan; 2004 Survey 168 Model Wave Bathymetry 171