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Second order waves before and after the floor work in the OEB in 2010 : Part A

Zaman, Hasanat; McKay, Shane; NRC Ocean, Coastal and River Engineering

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OCRE-TR-2013-003

NATIONAL RESEARCH COUNCIL CANADA OCEAN, COASTAL AND RIVER ENGINEERING

Second order waves before and after

the floor work in the OEB in 2010:

Part A

Technical Report - UNCLASSIFIED

Hasanat Zaman Shane McKay February, 2013

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REPORT NUMBER PROJECT NUMBER

DATE

SECURITY CLASSIFICATION DISTRIBUTION

TITLE

AUTHOR(S)

CORPORATE AUTHOR(S)/PERFORMING AGENCY(S) PUBLICATION (Journal or Conference name)

SPONSORING AGENCY(S)

RAW DATA STORAGE LOCATION(S)

PEER REVIEWED

MODEL # PROP

EMBARGO PERIOD

PROJECT (NPArC) GROUP (NPArC)

PROGRAM (NPArC) FACILITY (NPArC)

KEY WORDS PAGES TABLES FIGS.

SUMMARY

Report Documentation Page

OCRE - GOCF

2013

6 February

Wave quality, 2nd order waves, unwanted free waves i, 302, App 1-6 7 1

OCRE-TR-2013-003 PJ2414-26 UNCLASSIFIED UNLIMITED

Second order waves before and after the floor work in the OEB in 2010: Part A

Hasanat Zaman and Shane McKay

NRC Ocean, Coastal and River Engineering

NRC-ST. JOHN’S

--- --- Research

--- St. John's: P.O. Box 12093, Arctic Ave, St. John's, NL A1B 3T5

This is a continuation of the work reported in TR-2011-16. In summer 2010, the south-west side trenches (0.4m x 0.3m) under and in front of the wave makers in the OEB have been permanently filled-up to provide a homogeneous bottom and uniform water depth all over the basin. This work is to understand the improvement of the wave quality after the floor work. Two sets of experimental data comprised of mono- and bi-chromatic waves before and after the floor work are used to identify the impact of the development work on the generation of unwanted second order free waves in the OEB. In this report results are compared between the measured energies at different probe locations and also second order wave components before and after the floor work in the OEB. Comparisons are shown in terms of measured wave energies, primary waves, bounded waves and unwanted second order free waves elevations. In this report 0.4m, 0.5m and 0.6m of water depth is considered. In most of the cases it is observed from the results that the shallower the wave the better the wave quality after the floor work.

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National Research Council Conseil national de recherches Canada Canada Ocean, Coastal and River Génie océanique, côtier et fluvial Engineering

Second order waves before and after the floor work

in the OEB in 2010: Part A

Technical Report UNCLASSIFIED OCRE-TR-2013-003 Hasanat Zaman Shane McKay February, 2013

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OCRE-TR-2013-003 i

TABLE OF CONTENTS

Page No

ABSTRACT ...1

1. INTRODUCTION ...1

2. DESCRIPTION OF THE TRENCHES AND FILLED-UP WORK ...1

3. EXPERIMENTAL SETUP ...1

4. EXPERIMENTS AND DATA ACQUISITIONS ...2

5. INCIDENT WAVE CONDITIONS ...3

6. DATA ANALYSES...4

6.1 COMPARISONS - 1: Monochromatic waves ...4

6.2 COMPARISONS - 2: Bichromatic waves ... 5

7. LWAVE utilization ...6

8. RESULTS ...6

9. CONCLUSIONS...7

REFERENCES ...7

Appendix-I compares energy distribution and second order wave components for mono-chromatic wave over 0.4m water depth at different probe locations. ...8

Appendix-II compares energy distribution and second order wave components for mono-chromatic wave over 0.5m water depth at different probe locations. ...89

Appendix-III compares energy distribution and second order wave components for mono-chromatic wave over 0.6m water depth at different probe locations. ...154

Appendix-IV compares energy distribution and second order wave components for bi-chromatic wave over 0.4m water depth at different probe locations. ...171

Appendix-V compares energy distribution and second order wave components for bi-chromatic wave over 0.5m water depth at different probe locations. ...220

Appendix-VI compares energy distribution and second order wave components for bi-chromatic wave over 0.6m water depth at different probe locations. ...269

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ABSTRACT

This is a continuation of the work reported in TR-2011-16. In summer 2010 the south-west side trenches under and in front of the wave makers in the OEB have been permanently filled-up to provide a homogeneous bottom and uniform water depth all over the basin. This work is to understand the improvement of the wave quality after the floor work. Two sets of experimental data comprised of mono- and bi-chromatic waves before and after the floor work are used to identify the impact of the development work on the generation of unwanted second order free waves in the OEB. In this report results are compared between the measured energies at different probe locations and also second order wave components before and after the floor work in the OEB. Comparisons are shown in terms of measured wave energies, primary waves, bounded waves and unwanted second order free waves elevations. In this report 0.4m, 0.5m and 0.6m of water depth is considered. In most of the cases it is observed from the results that the shallower the wave the better the wave quality after the floor work.

1. INTRODUCTION

The OEB at NRC-IOT is a world class 3D experimental wave basin. Recently the small trenches under and in front of the south and west side wave makers were filled-up to produce a uniform floor bottom. It is important to study the impact of this work on the wave quality in the basin.

In this work two sets of experimental data resulted from identical incident wave parameters are used. The first set (called before from now on) of wave data was obtained from the experimental work before the trenches were filled-up and the second set (called

after from now on) of data was obtained from the experiment after the trenches were filled up. In the experiments both mono- and bi-chromatic wave are considered for different water depths. Four different water depths were used, 0.4m, 0.5m, 0.6m and 0.8m. Comparisons of the data were done for identical wave conditions. Results for 0.8m water depth are reported in another report (Part-B).

2. DESCRIPTION OF THE TRENCHES AND FILLED-UP WORK

The south trench was about 64m long, 0.4m wide and 0.3m deep. The west trench was about 26m long, 0.4m wide and 0.3m deep. These trenches are permanently filled-up.

3. EXPERIMENTAL SETUP

The experiments were carried out in October 2009 (before), July 2010 (after) and August 2011 (after) at the Offshore Engineering Basin of National Research Council Canada, St. John’s. The top view of the basin is shown in Fig. 1. The Offshore Engineering Basin is 75 m long x 32 m wide. 56 independently controlled segmented wave generators installed on the west wall generated the waves. Each segmented wave generator is 2 m high and 0.5 m wide. Passive absorbers, made of expanded metal sheets with varying porosities and spacing, are installed on the east wall. A solid metal wall is used to cover the north side of the basin to customize it into flume mode.

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During the experiment, 14 wave probes are installed as shown in Fig. 1. But for 0.8m water depth only 10 wave probes are used. The dotted lines in Fig. 1 show the location of the trenches in the OEB that the basin previously had. Table-1 measured the location of the wave probes throughout the basin. All the wave probes are capacitance type. All the data was acquired using GDAC (GEDAP Data Acquisition and Control) client-server acquisition system, developed by National Research Council Canada, Institute for Ocean Technology.

Photo 1 Setup of the wave probes in the OEB

4. EXPERIMENTS AND DATA ACQUISITIONS

Experiments were carried out in three times slots: in October 2009 (PJ2298) with the presence of the trenches, in July 2010 (PJ2414) and in August 2011 (PJ2298) without trenches. P-7 P-1 P-2 P-3 P-6 P-4 P-5 P-14 P-11 P-9 P-10 P-8 P-12 P-13 13.475 Wave-makers 2m 10.744 South wall Beach West wall Trenches

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In July 2010 experiments are carried out for both mono- and bi-chromatic waves on water depths 0.4m, 0.5m and 0.6m and in August 2011 experiments with 0.8m water depth are carried out. In the experiment of October 2009 all above water depths are used.

Table 1 Location of the wave probes in the OEB No of the

probe

Distance from the west wall (m)

Distance from the south wall (m) 1 26.891 13.475 2 27.221 13.475 3 27.731 13.475 4 27.731 12.955 5 27.731 12.635 6 27.731 14.825 7 27.731 18.365 8 29.081 13.475 9 32.621 13.475 10 41.621 13.475 11 2.0 12.635 12 2.0 13.475 13 2.0 18.365 14 10.744 13.475

5. INCIDENT WAVE CONDITIONS

In the experiments both mono- and bi-chromatic waves of different wave periods, wave heights and water depths are used. See Zaman and Mak (2007) and Zaman et al (2010) for several cases of mono- and bi-chromatic waves before the floor work and Zaman et al. (2011) after the floor work. Table 2 to 4 show different incident wave conditions that we used in the experiments. In the tables below T1 and T2 are wave periods, H1 and H2 are the wave heights, h is the water depth, L is the wave length and

h/L is the relative water depth.

Table 2a Mono-chromatic incident wave parameters (h=0.4m) T1 (s) H1 (m) h(m) h/L M4-1 2.145 0.08 0.4 0.100 M4-2 3.116 0.06 0.4 0.067 M4-3 4.105 0.06 0.4 0.050 M4-4 3.116 0.12 0.4 0.067 M4-5 4.105 0.16 0.4 0.050

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Table 2b Bi-chromatic incident wave parameters (h=0.4m) T1 (s) h(m) H1 (m) T2 (s) H2 (m) h/L

B4-1 1.25 0.4 0.06 1.17 0.06 0.195 B4-2 1.55 0.4 0.06 1.45 0.06 0.146 B4-3 2.22 0.4 0.06 2.00 0.06 0.096

Table 3a Mono-chromatic incident wave parameters (h=0.5m) T1 (s) H1 (m) h(m) h/L

M5-1 1.977 0.04 0.5 0.125 M5-2 1.977 0.08 0.5 0.125 M5-3 2.829 0.06 0.5 0.083 M5-4 3.704 0.08 0.5 0.056 Table 3b Bi-chromatic incident wave parameters (h=0.5m) T1 (s) h(m) H1 (m) T2 (s) H2 (m) h/L

B5-1 1.25 0.4 0.06 1.17 0.06 0.195 B5-2 1.55 0.4 0.06 1.45 0.06 0.146 B5-3 2.22 0.4 0.06 2.00 0.06 0.096

Table 4a Mono-chromatic incident wave parameters (h=0.6m) T1 (s) H1 (m) h(m) h/L

M6-1 0.9 0.06 0.6 0.476

M6-2 1.0 0.06 0.6 0.390

Table 4b Bi-chromatic incident wave parameters (h=0.6m) T1 (s) h(m) H1 (m) T2 (s) H2 (m) h/L

B6-1 1.55 0.4 0.06 1.45 0.06 0.146 B6-2 2.22 0.4 0.06 2.00 0.06 0.096

The bottom of the basin was flat and the blanking plates were deployed to cover the north beach.

6. DATA ANALYSES

We have analyzed two sets of data, one for before the floor work and the other one is

after the floor work. Different wave conditions and water depths are considered as shown in Tables 2 to 4. All the data are compared and the results are shown in terms of measured surface elevation data, wave energies and isolated wave components including second order waves across the wave tank at probes 5-4-3-6-7 (Probe-5, Probe-4, Probe-3, Probe-6 and Probe-7) and at probes 11-12-13-14 (Probe-11, Probe-12, Probe-13 and Probe-14) and along the tank at probes 1-2-3-8-9-10 (Probe-1, Probe-2, Probe-3, Probe-8, Probe-9 and Probe-10), see Fig. 1.

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Table 2a, 3a and 4a respectively, show the incident wave conditions for monochromatic waves, respectively on 0.4m (M4), 0.5m (M5) and 0.6m (M6) water depths. All the above cases are run with and without trenches condition in front of the south and west wave makers of the OEB. Comparisons of the results are made between both cases, with and without trenches.

Figs. 2a to 11j show the energy distribution, measured surface elevation, isolated primary wave, bounded and second order unwanted free wave components at different probe locations in the basin for the mono-chromatic waves of 0.4m water depth mentioned in Table 2a. Measured water surface elevations, wave energies and isolated primary, bounded and unwanted free waves at across-tank probes 5-4-3-6-7 and 11-12-13-14 and at the along-tank probes 1-2-3-8-9-10 are plotted together to show the differences in the amplitudes after and before the floor work. Unwanted free waves are reproduced due to the mismatch of the boundary conditions at the wave paddle and due to the displacement of the wave paddle from its zero position.

Figs. 12a to 19j show the energy distribution, measured surface elevation, isolated primary wave, bounded and second order unwanted free wave components at different probe locations in the basin for the mono-chromatic waves of 0.5m water depth mentioned in Table 3a. Acquired water surface elevations, wave energies and isolated primary, bounded and unwanted free waves at across-tank probes 5-4-3-6-7 and 11-12-13-14 and at the along-tank probes 1-2-3-8-9-10 are plotted together to show the differences in the component amplitudes after and before the floor work.

Figs. 20a to 21j show the energy distribution, measured surface elevation, isolated primary wave, bounded and second order unwanted free wave components at different probe locations in the basin for the mono-chromatic waves of 0.6m water depth mentioned in Table 4a. Obtained water surface elevations, wave energies and isolated primary, bounded and unwanted free waves at across-tank probes 5-4-3-6-7 and 11-12-13-14 and at the along-tank probes 1-2-3-8-9-10 are plotted together to show the differences in the component amplitudes after and before the floor work.

It is observed from the results that the smaller the relative water depth h L (i.e. shallower the wave) the better the wave quality after the floor work. For shallower wave it is also noted that the shallower the wave the better the wave energy distributions across the tank for measured, primary, bounded and free waves for after cases. It is perceived that the second order wave components are reduced for shallow waves after the floor work.

6.2 COMPARISONS - 2: Bichromatic waves

Table 2b, 3b and 4b respectively, show the incident wave conditions for Bi-chromatic waves on 0.4m (B4), 0.5m (B5) and 0.6m (B6) water depths. Here also the above cases are run for: with and without trenches conditions in front of the south and west wave makers of the OEB. Results are again compared between both cases, with and without

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energies and isolated wave components including second order waves across the wave tank at probes 5-4-3-6-7 (Probe-5, Probe-4, Probe-3, Probe-6 and Probe-7) and at probes 11-12-13-14 (Probe-11, Probe-12, Probe-13 and Probe-14) and along the tank at probes 1-2-3-8-9-10 (Probe-1, Probe-2, Probe-3, Probe-8, Probe-9 and Probe-10), see Fig. 1. Figs. 22a to 27j show the energy distribution, measured surface elevation, isolated primary wave, bounded and second order unwanted free wave components at different probe locations in the basin for the bi-chromatic waves of 0.4m water depth. The incident wave parameters are mentioned in Table 2b. Obtained water surface elevations, wave energies and isolated primary, bounded and unwanted free waves at across-tank probes 5-4-3-6-7 and 11-12-13-14 and at the along-tank probes 1-2-3-8-9-10 are plotted together to show the differences in the component amplitudes after and before the floor work.

Figs. 28a to 32j show surface elevations for the bi-chromatic waves for 0.5m water depth. The incident wave parameters are mentioned in Table 3b. Acquired water surface elevations, wave energies and isolated primary, bounded and unwanted free waves at across-tank probes 5-4-3-6-7 and 11-12-13-14 and at the along-tank probes 1-2-3-8-9-10 are plotted together to show the differences in the component amplitudes after and before the floor work.

Figs. 33a to 36j show surface elevations for the bi-chromatic waves for 0.6m water depth. The incident wave parameters are mentioned in Table 4b. Measured water surface elevations, wave energies and isolated primary, bounded and unwanted free waves at across-tank probes 5-4-3-6-7 and 11-12-13-14 and at the along-tank probes 1-2-3-8-9-10 are plotted together to show the differences in the component amplitudes after and before the floor work.

7. LWAVE utilization

A NRC-IOT computer code LWAVE that can split a measured surface elevation data set into its component waves is used for the analysis. This code is utilized to isolate the primary waves, bounded second order waves and unwanted free waves from the raw measured data at every probe location.

8. RESULTS

In this report 3 different water depths (h= 0.4m, 0.5m and 0.6m) were used. The incident wave parameters are shown in Table 2 to Table 4 for mono- and bi-chromatic waves. Results are compared between the measured wave data, before and after the floor work in the OEB.

Appendix-I compares energy distribution and second order wave components for mono-chromatic wave over 0.4m water depth at different probe locations.

Appendix-II compares energy distribution and second order wave components for mono-chromatic wave over 0.5m water depth at different probe locations.

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Appendix-III compares energy distribution and second order wave components for mono-chromatic wave over 0.6m water depth at different probe locations.

Appendix-IV compares energy distribution and second order wave components for bi-chromatic wave over 0.4m water depth at different probe locations.

Appendix-V compares energy distribution and second order wave components for bi-chromatic wave over 0.5m water depth at different probe locations.

Appendix-VI compares energy distribution and second order wave components for bi-chromatic wave over 0.6m water depth at different probe locations.

9. CONCLUSIONS

Comparisons of the results for surface elevations and energy propagations between the measured data before and after the floor work are shown. Deep water wave (h Lt0.5) will not be affected by the floor and the wave starts to be influenced by the bottom when the relative water depth (h L) is less than 0.5. So the smaller the value of h Lmeans greater the effects of the bottom on the propagating waves. It is observed from the results that the shallower the wave the better the wave quality after the floor work. It is also perceived that the shallower the wave the better the wave energies distributions across the tank for primary, bounded and unwanted free waves for after cases. It is also found that the second order wave components are reduced for shallower waves after the floor work conditions. In the presence of the trenches the water depth used to be 0.3m more over this area compare to the other part of the basin. So the waves over this area were faster. Some transverse waves used to propagate across the tank due to the interaction of these faster waves with the south wall wave-makers. This transverse waves reduced after the trenches are filled.

10. REFERENCES

Zaman, M. H., Baddour, E. and McKay, S. (2011): Wave propagation before and after the floor work in the OEB in 2010, TR-2011-16, March, National Research Council Canada, Institute for Ocean Technology.

Zaman, M. H., Peng, H., Baddour, E., Spencer, D. and McKay, S. (2010): Identifications of spurious waves in the wave tank with shallow water, 29th Int. Conf. on offshore Mech. and Arctic Eng. (OMAE-2010), ASME, Shanghai, China, on CD-ROM.

Zaman, M. H. and L. Mak (2007): Second order wave generation technique in the laboratory, 26th Int. Conf. on offshore Mech. and Arctic Eng. (OMAE-2007), ASME, San Diego, USA, on CD-ROM.

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Appendix – I

Compares energy distribution and second order wave components for mono-chromatic wave over 0.4m water depth at different probe locations.

Probes array: Probes: 1-2-3-8-9-10

Probes: 5-4-3-6-7 Probes 11-12-13-14

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Fig. 2a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

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Fig. 2b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

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Fig. 2c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

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Fig. 2d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

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Fig. 2e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

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Fig. 2f: Comparisons between high frequency wave energy Probes: 11-12-13-14

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Fig. 3a: Isolated wave components from measured wave data at Probe-1 M4-1 : REGP4_H0P08_T2P145

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Fig. 3b: Isolated wave components from measured wave data at Probe-2 M4-1 : REGP4_H0P08_T2P145

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Fig. 3c: Isolated wave components from measured wave data at Probe-3 M4-1 : REGP4_H0P08_T2P145

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Fig. 3d: Isolated wave components from measured wave data at Probe-4 M4-1 : REGP4_H0P08_T2P145

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Fig. 3e: Isolated wave components from measured wave data at Probe-5 M4-1 : REGP4_H0P08_T2P145

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Fig. 3f: Isolated wave components from measured wave data at Probe-6 M4-1 : REGP4_H0P08_T2P145

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Fig. 3g: Isolated wave components from measured wave data at Probe-7 M4-1 : REGP4_H0P08_T2P145

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Fig. 3h: Isolated wave components from measured wave data at Probe-8 M4-1 : REGP4_H0P08_T2P145

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Fig. 3i: Isolated wave components from measured wave data at Probe-9 M4-1 : REGP4_H0P08_T2P145

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Fig. 3j: Isolated wave components from measured wave data at Probe-10 M4-1 : REGP4_H0P08_T2P145

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Fig. 4a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

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Fig. 4b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

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Fig. 4c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

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Fig. 4d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

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Fig. 4e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

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Fig. 4f: Comparisons between high frequency wave energy Probes: 11-12-13-14

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Fig. 5a: Isolated wave components from measured wave data at Probe-1 M4-2 : REGP4_H0P06_T3P116

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Fig. 5b: Isolated wave components from measured wave data at Probe-2 M4-2 : REGP4_H0P06_T3P116

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Fig. 5c: Isolated wave components from measured wave data at Probe-3 M4-2 : REGP4_H0P06_T3P116

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Fig. 5d: Isolated wave components from measured wave data at Probe-4 M4-2 : REGP4_H0P06_T3P116

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Fig. 5e: Isolated wave components from measured wave data at Probe-5 M4-2 : REGP4_H0P06_T3P116

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Fig. 5f: Isolated wave components from measured wave data at Probe-6 M4-2 : REGP4_H0P06_T3P116

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Fig. 5g: Isolated wave components from measured wave data at Probe-7 M4-2 : REGP4_H0P06_T3P116

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Fig. 5h: Isolated wave components from measured wave data at Probe-8 M4-2 : REGP4_H0P06_T3P116

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Fig. 5i: Isolated wave components from measured wave data at Probe-9 M4-2 : REGP4_H0P06_T3P116

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Fig. 5j: Isolated wave components from measured wave data at Probe-10 M4-2 : REGP4_H0P06_T3P116

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Fig. 6a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

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Fig. 6b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

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Fig. 6c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

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Fig. 6d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

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Fig. 6e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

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Fig. 6f: Comparisons between high frequency wave energy Probes: 11-12-13-14

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Fig. 7a: Isolated wave components from measured wave data at Probe-1 M4-3 : REGP4_H0P12_T3P116

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Fig. 7b: Isolated wave components from measured wave data at Probe-2 M4-3 : REGP4_H0P12_T3P116

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Fig. 7c: Isolated wave components from measured wave data at Probe-3 M4-3 : REGP4_H0P12_T3P116

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Fig. 7d: Isolated wave components from measured wave data at Probe-4 M4-3 : REGP4_H0P12_T3P116

(56)

OCRE-TR-2013-003 51

Fig. 7e: Isolated wave components from measured wave data at Probe-5 M4-3 : REGP4_H0P12_T3P116

(57)

52 OCRE-TR-2013-003

Fig. 7f: Isolated wave components from measured wave data at Probe-6 M4-3 : REGP4_H0P12_T3P116

(58)

OCRE-TR-2013-003 53

Fig. 7g: Isolated wave components from measured wave data at Probe-7 M4-3 : REGP4_H0P12_T3P116

(59)

54 OCRE-TR-2013-003

Fig. 7h: Isolated wave components from measured wave data at Probe-8 M4-3 : REGP4_H0P12_T3P116

(60)

OCRE-TR-2013-003 55

Fig. 7i: Isolated wave components from measured wave data at Probe-9 M4-3 : REGP4_H0P12_T3P116

(61)

56 OCRE-TR-2013-003

Fig. 7j: Isolated wave components from measured wave data at Probe-10 M4-3 : REGP4_H0P12_T3P116

(62)

OCRE-TR-2013-003 57

Fig. 8a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

(63)

58 OCRE-TR-2013-003

Fig. 8b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

(64)

OCRE-TR-2013-003 59

Fig. 8c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

(65)

60 OCRE-TR-2013-003

Fig. 8d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

(66)

OCRE-TR-2013-003 61

Fig. 8e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

(67)

62 OCRE-TR-2013-003

Fig. 8f: Comparisons between high frequency wave energy Probes: 11-12-13-14

(68)

OCRE-TR-2013-003 63

Fig. 9a: Isolated wave components from measured wave data at Probe-1 M4-4 : REGP4_H0P08_T4P105

(69)

64 OCRE-TR-2013-003

Fig. 9b: Isolated wave components from measured wave data at Probe-2 M4-4 : REGP4_H0P08_T4P105

(70)

OCRE-TR-2013-003 65

Fig. 9c: Isolated wave components from measured wave data at Probe-3 M4-4 : REGP4_H0P08_T4P105

(71)

66 OCRE-TR-2013-003

Fig. 9d: Isolated wave components from measured wave data at Probe-4 M4-4 : REGP4_H0P08_T4P105

(72)

OCRE-TR-2013-003 67

Fig. 9e: Isolated wave components from measured wave data at Probe-5 M4-4 : REGP4_H0P08_T4P105

(73)

68 OCRE-TR-2013-003

Fig. 9f: Isolated wave components from measured wave data at Probe-6 M4-4 : REGP4_H0P08_T4P105

(74)

OCRE-TR-2013-003 69

Fig. 9g: Isolated wave components from measured wave data at Probe-7 M4-4 : REGP4_H0P08_T4P105

(75)

70 OCRE-TR-2013-003

Fig. 9h: Isolated wave components from measured wave data at Probe-8 M4-4 : REGP4_H0P08_T4P105

(76)

OCRE-TR-2013-003 71

Fig. 9i: Isolated wave components from measured wave data at Probe-9 M4-4 : REGP4_H0P08_T4P105

(77)

72 OCRE-TR-2013-003

Fig. 9j: Isolated wave components from measured wave data at Probe-10 M4-4 : REGP4_H0P08_T4P105

(78)

OCRE-TR-2013-003 73

Fig. 10a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

(79)

74 OCRE-TR-2013-003

Fig. 10b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

(80)

OCRE-TR-2013-003 75

Fig. 10c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

(81)

76 OCRE-TR-2013-003

Fig. 10d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

(82)

OCRE-TR-2013-003 77

Fig. 10e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

(83)

78 OCRE-TR-2013-003

Fig. 10f: Comparisons between high frequency wave energy Probes: 11-12-13-14

(84)

OCRE-TR-2013-003 79

Fig. 11a: Isolated wave components from measured wave data at Probe-1 M4-5 : REGP4_H0P16_T4P105

(85)

80 OCRE-TR-2013-003

Fig. 11b: Isolated wave components from measured wave data at Probe-2 M4-5 : REGP4_H0P16_T4P105

(86)

OCRE-TR-2013-003 81

Fig. 11c: Isolated wave components from measured wave data at Probe-3 M4-5 : REGP4_H0P16_T4P105

(87)

82 OCRE-TR-2013-003

Fig. 11d: Isolated wave components from measured wave data at Probe-4 M4-5 : REGP4_H0P16_T4P105

(88)

OCRE-TR-2013-003 83

Fig. 11e: Isolated wave components from measured wave data at Probe-5 M4-5 : REGP4_H0P16_T4P105

(89)

84 OCRE-TR-2013-003

Fig. 11f: Isolated wave components from measured wave data at Probe-6 M4-2 : REGP4_H0P06_T3P116

(90)

OCRE-TR-2013-003 85

Fig. 11g: Isolated wave components from measured wave data at Probe-7 M4-5 : REGP4_H0P16_T4P105

(91)

86 OCRE-TR-2013-003

Fig. 11h: Isolated wave components from measured wave data at Probe-8 M4-5 : REGP4_H0P16_T4P105

(92)

OCRE-TR-2013-003 87

Fig. 11i: Isolated wave components from measured wave data at Probe-9 M4-5 : REGP4_H0P16_T4P105

(93)

88 OCRE-TR-2013-003

Fig. 11j: Isolated wave components from measured wave data at Probe-10 M4-5 : REGP4_H0P16_T4P105

(94)

OCRE-TR-2013-003 89

Appendix – II

Compares energy distribution and second order wave components for mono-chromatic wave over 0.5m water depth at different probe locations.

Probes array: Probes: 1-2-3-8-9-10

Probes: 5-4-3-6-7 Probes 11-12-13-14

(95)

90 OCRE-TR-2013-003

Fig. 12a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

(96)

OCRE-TR-2013-003 91

Fig. 12b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

(97)

92 OCRE-TR-2013-003

Fig. 12c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

(98)

OCRE-TR-2013-003 93

Fig. 12d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

(99)

94 OCRE-TR-2013-003

Fig. 12e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

(100)

OCRE-TR-2013-003 95

Fig. 12f: Comparisons between high frequency wave energy Probes: 11-12-13-14

(101)

96 OCRE-TR-2013-003

Fig. 13a: Isolated wave components from measured wave data at Probe-1 M5-1 : REGP5_H0P04_T1P977

(102)

OCRE-TR-2013-003 97

Fig. 13b: Isolated wave components from measured wave data at Probe-2 M5-1 : REGP5_H0P04_T1P977

(103)

98 OCRE-TR-2013-003

Fig. 13c: Isolated wave components from measured wave data at Probe-3 M5-1 : REGP5_H0P04_T1P977

(104)

OCRE-TR-2013-003 99

Fig. 3d: Isolated wave components from measured wave data at Probe-4 M5-1 : REGP5_H0P04_T1P977

(105)

100 OCRE-TR-2013-003

Fig. 13e: Isolated wave components from measured wave data at Probe-5 M5-1 : REGP5_H0P04_T1P977

(106)

OCRE-TR-2013-003 101

Fig. 13f: Isolated wave components from measured wave data at Probe-6 M5-1 : REGP5_H0P04_T1P977

(107)

102 OCRE-TR-2013-003

Fig. 13g: Isolated wave components from measured wave data at Probe-7 M5-1 : REGP5_H0P04_T1P977

(108)

OCRE-TR-2013-003 103

Fig. 13h: Isolated wave components from measured wave data at Probe-8 M5-1 : REGP5_H0P04_T1P977

(109)

104 OCRE-TR-2013-003

Fig. 13i: Isolated wave components from measured wave data at Probe-9 M5-1 : REGP5_H0P04_T1P977

(110)

OCRE-TR-2013-003 105

Fig. 13j: Isolated wave components from measured wave data at Probe-10 M5-1 : REGP5_H0P04_T1P977

(111)

106 OCRE-TR-2013-003

Fig. 14a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

(112)

OCRE-TR-2013-003 107

Fig. 14b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

(113)

108 OCRE-TR-2013-003

Fig. 14c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

(114)

OCRE-TR-2013-003 109

Fig. 14d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

(115)

110 OCRE-TR-2013-003

Fig. 14e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

(116)

OCRE-TR-2013-003 111

Fig. 14f: Comparisons between high frequency wave energy Probes: 11-12-13-14

(117)

112 OCRE-TR-2013-003

Fig. 15a: Isolated wave components from measured wave data at Probe-1 M5-2 : REGP5_H0P08_T1P977

(118)

OCRE-TR-2013-003 113

Fig. 15b: Isolated wave components from measured wave data at Probe-2 M5-2 : REGP5_H0P08_T1P977

(119)

114 OCRE-TR-2013-003

Fig. 15c: Isolated wave components from measured wave data at Probe-3 M5-2 : REGP5_H0P08_T1P977

(120)

OCRE-TR-2013-003 115

Fig. 15d: Isolated wave components from measured wave data at Probe-4 M5-2 : REGP5_H0P08_T1P977

(121)

116 OCRE-TR-2013-003

Fig. 15e: Isolated wave components from measured wave data at Probe-5 M5-2 : REGP5_H0P08_T1P977

(122)

OCRE-TR-2013-003 117

Fig. 15f: Isolated wave components from measured wave data at Probe-6 M5-2 : REGP5_H0P08_T1P977

(123)

118 OCRE-TR-2013-003

Fig. 15g: Isolated wave components from measured wave data at Probe-7 M5-2 : REGP5_H0P08_T1P977

(124)

OCRE-TR-2013-003 119

Fig. 15h: Isolated wave components from measured wave data at Probe-8 M5-2 : REGP5_H0P08_T1P977

(125)

120 OCRE-TR-2013-003

Fig. 15i: Isolated wave components from measured wave data at Probe-9 M5-2 : REGP5_H0P08_T1P977

(126)

OCRE-TR-2013-003 121

Fig. 15j: Isolated wave components from measured wave data at Probe-10 M5-2 : REGP5_H0P08_T1P977

(127)

122 OCRE-TR-2013-003

Fig. 16a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

(128)

OCRE-TR-2013-003 123

Fig. 16b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

(129)

124 OCRE-TR-2013-003

Fig. 16c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

(130)

OCRE-TR-2013-003 125

Fig. 16d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

(131)

126 OCRE-TR-2013-003

Fig. 16e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

(132)

OCRE-TR-2013-003 127

Fig. 16f: Comparisons between high frequency wave energy Probes: 11-12-13-14

(133)

128 OCRE-TR-2013-003

Fig. 17a: Isolated wave components from measured wave data at Probe-1 M5-3 : REGP5_H0P06_T2P829

(134)

OCRE-TR-2013-003 129

Fig. 17b: Isolated wave components from measured wave data at Probe-2 M5-3 : REGP5_H0P06_T2P829

(135)

130 OCRE-TR-2013-003

Fig. 17c: Isolated wave components from measured wave data at Probe-3 M5-3 : REGP5_H0P06_T2P829

(136)

OCRE-TR-2013-003 131

Fig. 17d: Isolated wave components from measured wave data at Probe-4 M5-3 : REGP5_H0P06_T2P829

(137)

132 OCRE-TR-2013-003

Fig. 17e: Isolated wave components from measured wave data at Probe-5 M5-3 : REGP5_H0P06_T2P829

(138)

OCRE-TR-2013-003 133

Fig. 17f: Isolated wave components from measured wave data at Probe-6 M5-3 : REGP5_H0P06_T2P829

(139)

134 OCRE-TR-2013-003

Fig. 17g: Isolated wave components from measured wave data at Probe-7 M5-3 : REGP5_H0P06_T2P829

(140)

OCRE-TR-2013-003 135

Fig. 17h: Isolated wave components from measured wave data at Probe-8 M5-3 : REGP5_H0P06_T2P829

(141)

136 OCRE-TR-2013-003

Fig. 17i: Isolated wave components from measured wave data at Probe-9 M5-3 : REGP5_H0P06_T2P829

(142)

OCRE-TR-2013-003 137

Fig. 17j: Isolated wave components from measured wave data at Probe-10 M5-3 : REGP5_H0P06_T2P829

(143)

138 OCRE-TR-2013-003

Fig. 18a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

(144)

OCRE-TR-2013-003 139

Fig. 18b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

(145)

140 OCRE-TR-2013-003

Fig. 18c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

(146)

OCRE-TR-2013-003 141

Fig. 18d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

(147)

142 OCRE-TR-2013-003

Fig. 18e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

(148)

OCRE-TR-2013-003 143

Fig. 18f: Comparisons between high frequency wave energy Probes: 11-12-13-14

(149)

144 OCRE-TR-2013-003

Fig. 19a: Isolated wave components from measured wave data at Probe-1 M5-4 : REGP5_H0P08_T3P704

(150)

OCRE-TR-2013-003 145

Fig. 19b: Isolated wave components from measured wave data at Probe-2 M5-4 : REGP5_H0P08_T3P704

(151)

146 OCRE-TR-2013-003

Fig. 19c: Isolated wave components from measured wave data at Probe-3 M5-4 : REGP5_H0P08_T3P704

(152)

OCRE-TR-2013-003 147

Fig. 19d: Isolated wave components from measured wave data at Probe-4 M5-4 : REGP5_H0P08_T3P704

(153)

148 OCRE-TR-2013-003

Fig. 19e: Isolated wave components from measured wave data at Probe-5 M5-4 : REGP5_H0P08_T3P704

(154)

OCRE-TR-2013-003 149

Fig. 19f: Isolated wave components from measured wave data at Probe-6 M5-4 : REGP5_H0P08_T3P704

(155)

150 OCRE-TR-2013-003

Fig. 19g: Isolated wave components from measured wave data at Probe-7 M5-4 : REGP5_H0P08_T3P704

(156)

OCRE-TR-2013-003 151

Fig. 19h: Isolated wave components from measured wave data at Probe-8 M5-4 : REGP5_H0P08_T3P704

(157)

152 OCRE-TR-2013-003

Fig. 19i: Isolated wave components from measured wave data at Probe-9 M5-4 : REGP5_H0P08_T3P704

(158)

OCRE-TR-2013-003 153

Fig. 19j: Isolated wave components from measured wave data at Probe-10 M5-4 : REGP5_H0P08_T3P704

(159)

154 OCRE-TR-2013-003

Appendix – III

Compares energy distribution and second order wave components for mono-chromatic wave over 0.6m water depth at different probe locations.

Probes array: Probes: 1-2-3-8-9-10

Probes: 5-4-3-6-7 Probes 11-12-13-14

(160)

OCRE-TR-2013-003 155

Fig. 20a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

(161)

156 OCRE-TR-2013-003

Fig. 20b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

(162)

OCRE-TR-2013-003 157

Fig. 20c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

(163)

158 OCRE-TR-2013-003

Fig. 20d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

(164)

OCRE-TR-2013-003 159

Fig. 20e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

M6-1 : REGP6_H0P06_T0P9 before after

(165)

160 OCRE-TR-2013-003

Fig. 20f: Comparisons between high frequency wave energy Probes: 11-12-13-14

(166)

OCRE-TR-2013-003 161

Fig. 21a: Isolated wave components from measured wave data at Probe-1 M6-1 : REGP6_H0P06_T0P9

(167)

162 OCRE-TR-2013-003

Fig. 21b: Isolated wave components from measured wave data at Probe-2 M6-1 : REGP6_H0P06_T0P9

(168)

OCRE-TR-2013-003 163

Fig. 21c: Isolated wave components from measured wave data at Probe-3 M6-1 : REGP6_H0P06_T0P9

(169)

164 OCRE-TR-2013-003

Fig. 21d: Isolated wave components from measured wave data at Probe-4 M6-1 : REGP6_H0P06_T0P9

(170)

OCRE-TR-2013-003 165

Fig. 21e: Isolated wave components from measured wave data at Probe-5 M6-1 : REGP6_H0P06_T0P9

(171)

166 OCRE-TR-2013-003

Fig. 21f: Isolated wave components from measured wave data at Probe-6 M6-1 : REGP6_H0P06_T0P9

(172)

OCRE-TR-2013-003 167

Fig. 21g: Isolated wave components from measured wave data at Probe-7 M6-1 : REGP6_H0P06_T0P9

(173)

168 OCRE-TR-2013-003

Fig. 21h: Isolated wave components from measured wave data at Probe-8 M6-1 : REGP6_H0P06_T0P9

(174)

OCRE-TR-2013-003 169

Fig. 21i: Isolated wave components from measured wave data at Probe-9 M6-1 : REGP6_H0P06_T0P9

(175)

170 OCRE-TR-2013-003

Fig. 21j: Isolated wave components from measured wave data at Probe-10 M6-1 : REGP6_H0P06_T0P9

(176)

OCRE-TR-2013-003 171

Appendix – IV

Compares energy distribution and second order wave components for bi-chromatic wave over 0.4m water depth at different probe locations.

Probes array: Probes: 1-2-3-8-9-10

Probes: 5-4-3-6-7 Probes 11-12-13-14

(177)

172 OCRE-TR-2013-003

Fig. 22a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

(178)

OCRE-TR-2013-003 173

Fig. 22b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

(179)

174 OCRE-TR-2013-003

Fig. 22c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

(180)

OCRE-TR-2013-003 175

Fig. 22d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

(181)

176 OCRE-TR-2013-003

Fig. 22e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

(182)

OCRE-TR-2013-003 177

Fig. 22f: Comparisons between high frequency wave energy Probes: 11-12-13-14

(183)

178 OCRE-TR-2013-003

Fig. 23a: Isolated wave components from measured wave data at Probe-1 B4-1 : BIP4_H0P06_T1P25_T1P17

(184)

OCRE-TR-2013-003 179

Fig. 23b: Isolated wave components from measured wave data at Probe-2 B4-1 : BIP4_H0P06_T1P25_T1P17

(185)

180 OCRE-TR-2013-003

Fig. 23c: Isolated wave components from measured wave data at Probe-3 B4-1 : BIP4_H0P06_T1P25_T1P17

(186)

OCRE-TR-2013-003 181

Fig. 23d: Isolated wave components from measured wave data at Probe-4 B4-1 : BIP4_H0P06_T1P25_T1P17

(187)

182 OCRE-TR-2013-003

Fig. 23e: Isolated wave components from measured wave data at Probe-5 B4-1 : BIP4_H0P06_T1P25_T1P17

(188)

OCRE-TR-2013-003 183

Fig. 23f: Isolated wave components from measured wave data at Probe-6 B4-1 : BIP4_H0P06_T1P25_T1P17

(189)

184 OCRE-TR-2013-003

Fig. 23g: Isolated wave components from measured wave data at Probe-7 B4-1 : BIP4_H0P06_T1P25_T1P17

(190)

OCRE-TR-2013-003 185

Fig. 23h: Isolated wave components from measured wave data at Probe-8 B4-1 : BIP4_H0P06_T1P25_T1P17

(191)

186 OCRE-TR-2013-003

Fig. 23i: Isolated wave components from measured wave data at Probe-9 B4-1 : BIP4_H0P06_T1P25_T1P17

(192)

OCRE-TR-2013-003 187

Fig. 23j: Isolated wave components from measured wave data at Probe-10 B4-1 : BIP4_H0P06_T1P25_T1P17

(193)

188 OCRE-TR-2013-003

Fig. 24a: Comparisons between primary and low frequency wave energy Probes: 1-2-3-8-9-10

(194)

OCRE-TR-2013-003 189

Fig. 24b: Comparisons between high frequency wave energy Probes: 1-2-3-8-9-10

(195)

190 OCRE-TR-2013-003

Fig. 24c: Comparisons between primary and low frequency wave energy Probes: 5-4-3-6-7

(196)

OCRE-TR-2013-003 191

Fig. 24d: Comparisons between high frequency wave energy Probes: 5-4-3-6-7

(197)

192 OCRE-TR-2013-003

Fig. 24e: Comparisons between primary and low frequency wave energy Probes: 11-12-13-14

(198)

OCRE-TR-2013-003 193

Fig. 24f: Comparisons between high frequency wave energy Probes: 11-12-13-14

(199)

194 OCRE-TR-2013-003

Fig. 25a: Isolated wave components from measured wave data at Probe-1 B4-2 : BIP4_H0P06_T1P55_T1P45

(200)

OCRE-TR-2013-003 195

Fig. 25b: Isolated wave components from measured wave data at Probe-2 B4-2 : BIP4_H0P06_T1P55_T1P45

Figure

Fig. 2a: Comparisons between primary and low frequency wave energy  Probes: 1-2-3-8-9-10
Fig. 2c: Comparisons between primary and low frequency wave energy  Probes: 5-4-3-6-7
Fig. 2e: Comparisons between primary and low frequency wave energy  Probes: 11-12-13-14
Fig. 3c: Isolated wave components from measured wave data at Probe-3   M4-1 : REGP4_H0P08_T2P145
+7

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