lancelin coastal vulnerability study · aim of this project, is to develop a wave model to help...
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LANCELIN COASTAL VULNERABILITY
STUDY Supervisor: Charitha Pattiaratchi
Benjamin Robinson
October 2011
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Cover Photo: Panoramic view of Lancelin bay taken on the 15th October 2011
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31 Florence St
West Perth
WA 6005
November 3, 2011
Head of School,
School of Civil & Resource Engineering
The University of Western Australia,
NEDLANDS,
WA 6009
Dear Sir,
I have the pleasure of submitting this thesis entitled LANCELIN COASTAL VULNERABILITY
STUDY as partial fulfilment for the combined degree Bachelor of Commerce (Investment &
Corporate Finance) / Bachelor of Engineering (Civil) with Honours.
Yours Sincerely,
Ben Robinson.
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I Abstract
Throughout history humans have inhabited the coastlines of many continents due to the life
giving properties of coastal environments. Not many other places around the world give a
better example of this than Australia, with more than 80% of the population existing within
100km of the coast (DFAT 2008). As people are attracted to the coast they become
vulnerable to any coastline movement and in fact for as long as historically possible people
have taken note of coastal change. The earliest observed effects of coastal change can be
seen in the oral traditions of the indigenous Australian population known as the dreamtime.
Where stories depicting rising sea levels causing the loss of vital communication routes and
food sources have been passed on from generation to generation. Further indications of
disruption due to coastal change can be seen throughout different stages in history however
accurate documentation and the study of coastal change is a relatively new area considering
that some coastal processes can take decades to develop.
The dynamic environment that makes up the coast continually adjusts to the effects of
weather, tides, seasons and climate change. Climate change, although heavily debated is
becoming increasingly difficult to ignore. Extreme weather conditions and rising sea levels
are being realised and with an ever expanding population our effect on the environment will
only increase. The question is not so much whether the coast is eroding, but how we can
live with it and properly accommodate its changing shoreline conditions.
This particular study has focused on the region of Lancelin for its unique protective reef
system that creates the sheltered waters inside the bay of Lancelin. Fears exist that as mean
sea level increases globally due to climate change, the protection to the bay by the reef will
diminish to a point where the conditions are not suitable for current purposes.
The results from this study have confirmed that these fears will in fact become a reality
within the next 100 years. Even given conservative predictions for climate change resulting
in a rise of 50cm, significant wave heights inside the bay are expected to increase by 62.5%.
Even more alarming if sea levels rise to higher expectations of 100cm over the next 100
years, wave heights inside the bay may increase by as much as 140.6%.
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II Acknowledgements
I would like to thank my supervisor Dr Chari Pattiaratchi from the school of environmental
engineering at the University of Western Australia for his support and guidance.
I would also like to acknowledge Dr Sarath Wijeratne for his time spent with me developing
my model and analysing the results.
Finally I would like to acknowledge the department of transport for the survey data they
provided that was essential for developing the bathymetry used in my model.
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Contents
I Abstract .............................................................................................................................. 4
II Acknowledgements ............................................................................................................ 6
III List of Figures ..................................................................................................................... 9
IV List of Tables .................................................................................................................... 11
1. Introduction ..................................................................................................................... 12
1.1 Rationale ................................................................................................................... 12
1.2 Aim ............................................................................................................................ 12
1.3 Objectives .................................................................................................................. 12
2. Literature Review ............................................................................................................. 13
2.1 Geography ................................................................................................................. 13
2.2 Geology ..................................................................................................................... 14
2.3 Meteorology .............................................................................................................. 15
2.4 Wave Climate ............................................................................................................ 16
2.4.1 Short Period Water Level Fluctuations .............................................................. 16
2.4.2 Long Period Water Level Fluctuations .............................................................. 19
2.5 Climate Change ......................................................................................................... 19
2.6 Mike 21 ...................................................................................................................... 21
3. Research Methodology .................................................................................................... 22
3.1 Bathymetry ................................................................................................................ 22
3.2 Wind Forcing Data ..................................................................................................... 23
3.3 Wave Forcing Data .................................................................................................... 25
3.4 Model Duration ......................................................................................................... 26
3.5 Analysis ...................................................................................................................... 27
4. Results and Discussion ..................................................................................................... 28
4.1 Current conditions..................................................................................................... 28
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4.2 Minimum Sea level Rise ............................................................................................ 30
4.3 Maximum Sea level Rise ............................................................................................ 32
4.4 Discussion .................................................................................................................. 34
5. Conclusions ...................................................................................................................... 38
6. Recommendations ........................................................................................................... 40
7. REFERENCES ..................................................................................................................... 42
8. Appendices ....................................................................................................................... 44
8.1 Matlab Scripts ........................................................................................................... 44
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III List of Figures
Figure 2.1 – Lancelin Satellite photos (Google 2011)
Figure 2.2– Dune Formation Process
Figure 2.3 – Summer Wave Climate (December – February) (Lemm et al., 1999)
Figure 2.4 – Winter Wave Climate (June – August) (Lemm et al., 1999)
Figure 2.5 – Summer Sea Climate (December – February) (Lemm et al., 1999)
Figure 2.6 – Winter Sea Climate (June – August) (Lemm et al., 1999)
Figure 2.7 - Recommended allowance for sea level rise in coastal planning for W.A.
Figure 2.8 – Mike 21 Schematic
Figure 3.1 – Bathymetry and mesh grid of entire model domain
Figure 3.2 – Bathymetry and mesh grid of Lancelin bay and reef system.
Figure 3.3 – Model Surface wind and sea level pressure (Source; NOAA – NCEP)
Figure 3.4 – Summer Wind Climate
Figure 3.5 – Winter Wind Climate
Figure 3.6 – Model open boundary wave data (source; NOAA – WWII)
Figure 3.7 – Summer Wave Climate
Figure 3.8 – Winter Wave Climate
Figure 3.9 – Model Wave Vector Field.
Figure 3.10 – Data extraction points and lines.
Figure 4.1 – Significant Wave Height Inside and Outside reef system (0cm Shift).
Figure 4.2 – Significant Wave Heights along reference lines 1 and 2 (0cm Shift).
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Figure 4.3 – Mean Significant Wave Heights along reference lines 1 and 2 (0cm Shift).
Figure 4.4 – Significant Wave Height Inside and Outside reef system (50cm Shift).
Figure 4.5 – Significant Wave Heights along reference lines 1 and 2 (50cm Shift).
Figure 4.6 – Mean Significant Wave Heights along reference lines 1 and 2 (50cm Shift).
Figure 4.7 – Significant Wave Height Inside and Outside reef system (100cm Shift).
Figure 4.8 – Significant Wave Heights along reference lines 1 and 2 (100cm Shift).
Figure 4.9 – Mean Significant Wave Heights along reference lines 1 and 2 (100cm Shift).
Figure 4.10 – Significant Wave Height comparison inside the reef system.
Figure 4.11 – Significant Wave Height comparison outside the reef system.
Figure 4.12 – Significant Wave Height Line comparison inside the reef system.
Figure 4.13 – Significant Wave Height Line comparison outside the reef system.
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IV List of Tables
Table 2.1 – South Western Australia Weather Systems (Hollings, 2004; Stul, 2005).
Table 2.2 – Published extreme wave height estimates for Rottnest Island (Fangjun et al.
2010).
Table 3.1 – Data extraction point and line location
Table 4.1 – Percentage increase of wave heights inside the reef system.
Table 4.2 – Percentage increase of wave heights outside the reef system
Table 4.3 – Wave reduction comparison.
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1. Introduction
1.1 Rationale
Studies conducted on the significance of reef structures surrounding the shoreline in close
proximity to inhabited land are useful for future coastal planning and management. Lancelin
is a perfect example of a region that is not well understood and that could be potentially
devastated by worsening ocean conditions. The bay of Lancelin although protected now by a
significant reef system and set of islands is susceptible to a rise in sea level due to climate
change.
Lancelin relies heavily on this protected bay for its existence and although difficult to
produce, the need for a model that can predict wave heights within the reef system is
essential. A significant increase in wave height within the bay would potentially interfere
with commercial fishing operations and the lure for tourists to the town.
1.2 Aim
The Department of Transport has information on dunes, reefs and shoreline movement. The
aim of this project, is to develop a wave model to help further understand the wave climate,
but also consider how sensitive the climate would be to an increase in mean sea level and
ultimately how the coast will behave over the next 100 years.
1.3 Objectives
The main objective of this project is to accurately develop a wave model of the Lancelin
area. In order to complete this, certain forcing data will need to be realised before the
model can function. These inputs include:
1 Bathymetry
2 wave Climate
3 Wind Climate
4 Sea Level Approximation
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2. Literature Review
2.1 Geography
Lancelin is a small fishing and tourist town, with a population of 666 people (Census 2006)
and located in the Shire of Gingin, 110km north of Perth Western Australia. Below are three
satellite photos showing the Lancelin coastline, surrounding area and the location within
Australia.
Figure 2.1 – Lancelin Satellite photos (Google 2011)
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2.2 Geology
A sound understanding of the geology and geomorphology of Lancelin is essential for any
coastal planning and management decisions (Gozzard 2009). The geological setting of any
location controls the shoreline response to energy inputs, sediment properties as well as the
availability of these sediments (Wright & Thom 1977). The shoreline at Lancelin is composed
of Holocene sands deposited onto Limestone dunes formed during the middle and late
Pleistocene eras. This limestone is known as Tamala limestone and consists of calcarenite
wind-blown shell fragments and quarts sands. Coastal change in these environments is even
more difficult to predict than usual because the wave dominated, high energy coastal areas
undergo rapid erosion and accretion in response to storm events.
Lancelin Island and the protecting reef system that surrounds Lancelin bay is comprised of
this Tamala limestone. The material stretches from Shark Bay in Western Australia as far
south as Albany in combination with other geological formations. The Holocene sands that
dominate Lancelin are prevalent all along the western coast of Australia also. Hence they
are readily available and account for the majority of all sediments in shoreline processes as
well as forming the recognizable parabolic sand dunes that surround the town of Lancelin.
Figure 2.2– Dune Formation Process
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2.3 Meteorology
The weather systems that affect Lancelin are very similar to the weather systems that affect
Perth as described in detail in Gentilli (1971). High pressure belts breakdown into
anticyclonic cells moving eastward over the coastline every 3-10 days (Gentilli, 1972). This
anticyclonic band migrates from around 38⁰S in summer to 30⁰S in winter (Gentilli 1972).
Due to the latitude of Lancelin at approximately 31⁰S, these cells produce predictable
offshore winds in summer with increasingly unpredictable winds in winter as onshore winds
dominate the climate.
Winter conditions are also affected by periodic storm events associated with mid latitude
depressions. These depressions interrupt the prevailing weather with initially northerly
winds, freshening and shifting to north westerlies, then rapidly swinging to westerlies and
finally south westerlies as the system crosses the coast (Lemm et al. 1999). These conditions
may continue for up to 36 hours with wind speeds ranging from 15 – 29 ms-1 and frequent
strong gusts (Steedman, 1982).
In summer these mid latitude depressions exist too far south to affect the wind climate
however the sea breeze system that is prevalent in the south west region of Australia has a
very noticeable effect on the wind climate. As the land mass is heated from the summer
sun, the hot air rises sucking in the cooler air from the ocean, creating the regular
occurrence of the sea breeze predicted between noon and 3:00pm most days. This south-
west Australian sea breeze is considered one of the strongest in the world with winds
reaching up to a maximum of 20 ms-1 and a mean velocity of 8 ms-1 at the coastline
(Pattiaratchi et al., 1997; Masselink & Pattiaratchi, 2000). This system differs to the usual
sea breeze system in that the wind does not strike the coastline perpendicularly due to
orientation of the land mass with the ocean. Because of this the wind blows predominantly
from the south to southwest direction (Hollings 2004). When these winds are at their
strongest towards the end of summer the waves that are generated from these winds may
exceed that of the prevailing swell (Hegge et al. 1996).
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The final weather system to affect the coastline are tropical cyclones. Although these
systems only occur once every 10 years, (Gentilli 1971) due to their intense energy their
affect can be substantial. The best example of this was when tropical cyclone Alby caused
extensive erosion to Perth beaches in 1978 (Lemm, 1996).
Weather
System
Occurrence Frequency Wind
Direction
Avg Wind Speed
and Duration
Extreme 30 min
Avg Wind Speed
Anticyclone
January -
December
Every 3 -
10 days
All 0 – 5 m/s
Steady
5 – 10 m/s
Mid Latitude
Depressions
May -
October
Avg 3 – 8
year
N→ NW
→W→SW
15 – 25 m/s
10 – 55 hours
20 – 25 m/s
Squalls
December -
April
Every 13
days
All 15 – 20 m/s
2 – 4 hours
25 m/s
Sea Breeze
October –
March
> 15 days
a month
180⁰ -
200⁰
10 – 15 m/s
4 – 8 hours
20 m/s
Tropical
Cyclones
October -
March
1 every 10
years
Cyclone
Location
15 – 25 m/s
5 – 15 hours
25 – 30 m/s
Table 2.1 – South Western Australia Weather Systems (Hollings, 2004; Stul, 2005).
2.4 Wave Climate
The offshore wave conditions at Lancelin are similar to the offshore wave conditions along
the entire south west coast of Western Australia. This is due to the generation of deep
water waves by large scale weather systems over the Indian and Southern Oceans resulting
in little spatial variation in the deep water wave climate (Lemm et al, 1999). This wave
climate exists both 200km north and south of Perth encompassing the area of study for this
paper and is characterized by extreme seasonality.
2.4.1 Short Period Water Level Fluctuations
Over summer (December – February) the mean significant wave height is 1.8m with a period
of 7.6s compared to a mean significant wave height of 2.8m with a period of 9.7s in winter
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(June – August) (Masselink & Pattiaratchi, 2001). These swells are generated by the typical
weather systems highlighted in the meteorology section and as the location of these high
pressure belts migrate seasonally so does the swell approach direction. In summer when the
anticyclonic bands exist approximately around the line of latitude 38⁰S, the swell generated
approach primarily from the south, south west compared to winter where these bands
migrate north to approximately the line of latitude 31⁰S generating swells approaching the
coast from a west, south west direction (Lemm et al., 1999). The wave roses shown below in
figure 2.3 and 2.4 clearly show the offshore wave climate for the region. They were created
by Lemm (1996) as a compilation of 18 years of sea and swell observations approaching
Fremantle from the period 1950 – 1967.
Figure 2.3 – Summer Wave Climate Figure 2.4 – Winter Wave Climate
December – February June – August
The seas for the region are a direct product of the wind climate that generates them. In
summer the wind climate is characterized by consistent southern winds generating seas
approaching from a southerly direction. In winter the seas generated by the wind climate
increase with increasing wind conditions as well as becoming less consistent and swinging to
a westerly direction. Sea roses for the Perth region can be seen below in figures 2.5 and 2.6
for both summer and winter, and again created by Lemm (1996).
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Figure 2.5 – Summer Sea Climate Figure 2.6 – Winter Sea Climate
December – February June – August
An analysis of the wave climate requires a good understanding of the extreme offshore
wave conditions. From a coastal engineering point of view extreme wave conditions would
generate the dominant design requirements for any infrastructure design. A paper by
Fangjun et al. (2010) brings together a variety of research into the area to try and give a
better view of the extreme wave heights for offshore Perth and can be seen in table 2.2.
Table 2.2 – Published extreme wave height estimates for Rottnest Island (Li et al. 2010).
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2.4.2 Long Period Water Level Fluctuations
Long period water level fluctuations affecting Lancelin can be accredited to two major
factors, tidal and storm surges. Lancelin can be defined as having diurnal micro-tidal
conditions with the maximum tidal range being 0.76m (Department of Transport, 2011).
This range can be greatly increased by the combination of surge events and high energy
wave conditions. Storm surge is defined as an offshore rise in water level attributed to the
combined effect of wind induced shear stress and a low pressure weather system acting on
the water surface. The timing of surges is an important factor, if they combine with the
timing of maximum tidal range at the peak of a spring high tide the effect on the shoreline
can be substantial. Any change to the beaches caused by this effect may remain for a long
period of time as water levels are unable to recreate peak conditions to allow reworking.
Due to seasonal variations in ambient barometric pressure and prevailing wind direction,
caused by the seasonal migration of the subtropical high pressure belt, water levels are
higher in winter than in summer by an average of about 0.25 m (Masselink & Pattiaratchi,
2001).
2.5 Climate Change
Climate Change refers to a change in the state of the climate that can be identified (e.g.
using statistical tests) by changes in the mean and/or the variability of its properties, and
that persists for an extended period, typically decades or longer (IPCC 2007). Climate change
affects a number of key environmental variables that include (Bicknell 2010):
Mean sea level;
Ocean currents and temperature;
Wind and wave climates;
Rainfall / Runoff; and
Air temperature
From these, the most dominant factor affecting our model will be the increase in mean sea
level, however it is important to understand that any predictions of future sea level rises
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due to climate change will also create errors in our predicted model forcing data, as these
variables above are affected.
There is much debate surrounding the area of climate change and predictions in global sea
levels. The most widely accepted paper on the subject is the 2007 Climate Change Report
developed by the Intergovernmental Panel on Climate Change. This paper gives a detailed
breakdown of the causes of climate change and delivers a prediction that sea levels will rise
in the next century by 50 – 100cm (Bindoff at al. 2007).
Further work by the Commonwealth Scientific and Industrial Research Organisation (CSIRO)
has been done continuing on from the IPCC report to determine local variations around the
Australian coastline. This work has been implemented by the WA Planning Commission to
develop the Statement of Planning Policy No. 2.6: State Coastal Planning Policy (Bicknell
2010). The recommended allowance for sea level rise in coastal planning for W.A. over the
next century from this policy can be seen in figure 2.7 below.
Figure 2.7 - Recommended allowance for sea level rise in coastal planning for W.A.
There are views that this rise of between 50 – 100cm may be an underestimate. The report,
A Semi-Empirical Approach to Projecting Future Sea-Level Rise by Stefan Rahmstorf (2007) is
an example of this. It predicts sea level rises to be between 50 – 140cm due to the poorly
understood dynamics of glaciers and ice sheets (Rahmstorf 2007). This paper is only being
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used as an example of varying views on the topic but for the purpose of this project I have
accepted the IPCC 2007 findings of predicted sea levels increasing between 50cm and
100cm which agrees with State Coastal Planning Policy.
2.6 Mike 21
In order to accurately model the flow field for Lancelin a program developed by the Danish
Hydraulic Institute called MIKE 21 has been employed. MIKE 21 is a computer program that
simulates flows, waves, sediments and ecology in rivers, lakes, and coastal areas. This
software has been used extensively throughout the world to not only model existing
scenarios but further undertake design data assessment for coastal and offshore structures,
to optimise port layouts and to develop and test coastal protection measures. Figure 2.8
below shows a schematic breakdown of how the model works. It is important to note that
this software uses an iterative process where continuity and momentum equations are
continually solved for each time step and the inputs are changed respectively after every
time step.
Figure 2.8 – Mike 21 Schematic
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3. Research Methodology
3.1 Bathymetry
The bathymetry used for this model, shown in Figure 3.1 and Figure 3.2 below, is a
combination of survey data obtained from the Department of Transport and data taken
from Geoscience Australia. A coarse mesh size of approximately 1.5km has been used in
deep open water and then refined to a fine grid size of approximately 20m close to the
shoreline and surrounding reef structures. The survey data has been obtained inside the
reef system comprising of approximately 3km. ideally a bathymetry consisting of 100%
survey data would have been desirable but unfortunately no such data exists.
Figure 3.1 – Bathymetry and mesh grid of entire model domain
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Figure 3.2 – Bathymetry and mesh grid of Lancelin bay and reef system.
3.2 Wind Forcing Data
To generate the surge component of sea levels, the model has been forced with
atmospheric pressures and wind taken from the US National Centre for Environmental
Predictions (NCEP). This data can be seen in the figures below from the 1st January 2009
through to the 1st January 2010 every 6 hours. The wind is broken down into vector
velocities and the surface pressure system is measured in milibars. The data is extracted
from a larger weather history of the entire country and refined to a square grid between the
lines of latitude 30 to 32 degrees south and lines Longitude 114.5 and 115.5 East.
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Figure 3.3 – Model Surface wind and sea level pressure (Source; NOAA – NCEP)
From this data I have also plotted the wind velocity and direction for both summer and
winter seasons. The summer period in figure 3.4 captures the months of January and
February where the winter period in figure 3.5 captures the months of June and July.
Figure 3.4 – Summer Wind Climate Figure 3.5 – Winter Wind Climate
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3.3 Wave Forcing Data
Wave data for the area has been retrieved from NOAA Wave watch III. This data is shown
below in figure 3.6 and is again from the 1st January 2009 to the 1st January 2010 every 3
hours. The data contains three variables significant wave height, mean wave period as well
as mean wave direction and again plotted the wave height and direction for both summer
and winter seasons in figures 3.7and 3.8 respectively.
Figure 3.6 – Model open boundary wave data (source; NOAA – WWII)
Figure 3.7 – Summer Wave Climate Figure 3.8 – Winter Wave Climate
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3.4 Model Duration
Ideally multiple runs of the model would be best to generate a series of data with varying
inputs for the increase in mean sea level. In order to achieve this, a significant amount of
time would be required, outside of the allowances of this study. To give some idea of the
complexities of the software it takes approximately 7 days to run the model built for
Lancelin for one year not including sediment transport. For this study findings should be
clear from running the model for the three scenarios. Firstly on current conditions with no
change in mean sea level. Then followed by adjusting for the change in sea level due to
climate change by running two models, once with the minimum predicted increase in mean
sea level of 50cm, and lastly once with the maximum predicted increase in mean sea level of
100cm. Figure 3.9 below show the complex wave vector field calculated for every step of
the model. For the entire year it required 8750 iterations for it to be solved.
Figure 3.9 – Model Wave Vector Field.
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3.5 Analysis
In order to analyse the model outputs two points were selected, one inside the reef system
and one outside at similar sea depths to show the difference in significant wave heights at
these points. As well as this two parallel lines stretching out 20km from the shoreline were
chosen to extract the data from the model to also show how the wave climate behaved
approaching the reef system in comparison to approaching the shoreline directly. These
points and lines can be seen in figure 3.10 below.
Figure 3.10 – Data extraction points and lines.
Point Depth (m) Latitude Longitude
A -5.58461 115.3223 -31.0089
B -5.50549 115.2920 -30.9684
Line Distance (km) Latitude Longitude
1 20.032 115.3266955 - 115.1437938 (-31.00812827) – (-31.09969702)
2 20.018 115.2966852 - 115.1137305 (-30.95195418) – (-31.04278986)
Table 3.1 – Data extraction point and line location
Point B
Point A
Line 1
Line 2
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4. Results and Discussion
4.1 Current conditions
To simulate current conditions we simply ran the model for the year 2009. Figure 4.1 shows
the difference in significant wave heights between point A inside the reef system and point
B outside the reef system. Figure 4.2 and Figure 4.3 shows the wave climate along lines 1
and 2 as they approach the shoreline.
Figure 4.1 – Significant Wave Height Inside and Outside reef system (0cm Shift).
Figure 4.2 – Significant Wave Heights along reference lines 1 and 2 (0cm Shift).
B
A
Line1 Line 2
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Figure 4.3 – Mean Significant Wave Heights along reference lines 1 and 2 (0cm Shift).
Line1 Line 2
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4.2 Minimum Sea level Rise
To simulate the conditions for a minimum rise in sea level over the next 100 years the model
datum was shifted positively 50cm. Figure 4.4 shows the difference in significant wave
heights between point A inside the reef system and point B outside the reef system. Figure
4.5 and Figure 4.6 shows the wave climate along lines 1 and 2 as they approach the
shoreline.
Figure 4.4 – Significant Wave Height Inside and Outside reef system (50cm Shift).
Figure 4.5 – Significant Wave Heights along reference lines 1 and 2 (50cm Shift).
Line1 Line 2
B
A
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Figure 4.6 – Mean Significant Wave Heights along reference lines 1 and 2 (50cm Shift).
Line1 Line 2
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4.3 Maximum Sea level Rise
To simulate the conditions for a maximum rise in sea level over the next 100 years the
model datum was shifted positively 100cm. Figure 4.7 shows the difference in significant
wave heights between point Figure 4.8 and Figure 4.9 shows the wave climate along lines 1
and 2 as they approach the shoreline.
Figure 4.7 – Significant Wave Height Inside and Outside reef system (100cm Shift).
Figure 4.8 – Significant Wave Heights along reference lines 1 and 2 (100cm Shift).
Line1 Line 2
B
A
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Figure 4.9 – Mean Significant Wave Heights along reference lines 1 and 2 (100cm Shift).
Line1 Line 2
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4.4 Discussion
The best way to demonstrate how the wave climate will be affected by a predicted rise in
sea level is to compare the three outputs given for 0cm, 50cm and 100cm together as
shown below.
Figure 4.10 – Significant Wave Height comparison inside the reef system.
Figure 4.11 – Significant Wave Height comparison outside the reef system.
(cm)
100
50
0
(cm)
100
50
0
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Figure 4.12 – Significant Wave Height Line comparison inside the reef system.
Figure 4.13 – Significant Wave Height Line comparison outside the reef system.
(cm)
100
50
0
(cm)
100
50
0
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Table 4.1 – Percentage increase of wave heights inside the reef system.
Sea Level rise (cm) Mean Wave Height (m) Percentage Increase
0 0.1843 0
50 0.2994 62.5 %
100 0.4435 140.6 %
Table 4.2 – Percentage increase of wave heights outside the reef system
Sea Level rise (cm) Mean Wave Height (m) Percentage Increase
0 2.1727 0
50 2.2715 4.54 %
100 2.3546 8.37 %
Figure 4.10 and Table 4.1 clearly show how the region inside the bay will behave to an
increase in mean sea level. An increase of 50cm reflects 62.5% increase in significant wave
height at point A and a 140.6% increase caused by a predicted sea level rise of 100cm. This
data needs to be compared to our control Point B not protected by the reef system which
can be seen in Figure 4.4.5 and table 4.4.7.
These figures show a considerably lesser effect on significant wave height due to an increase
in mean sea level at Point B. For a 50 cm rise the waves only increase by 4.54% compared to
62.5% at Point A. This is shown again for an increase of 100cm producing an increase of only
8.37% compared to 140.6% at Point A.
This significant difference of wave heights at the two points A and B gives a good indication
of the role that the reef system is playing in protection of the bay.
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This comparison can also be shown by table 4.3 which shows the effective reduction due to
the reef at point A compared to a similar point B not affected by the reef system.
Datum Shift 0cm 50cm 100cm
Mean Wave Height
Inside (m)
0.1843 0.2994 0.4435
Mean Wave Height
Outside (m)
2.1727 2.2715 2.3546
Reduction due to
Reef (%)
91.5191 86.8184 81.1654
Table 4.3 – Wave reduction comparison.
Currently the reef effectively reduces the wave heights by 91.5%, then after a 50cm increase
in sea level this drops to 86.81% and to 81.16% given a rise of 100cm. If the mean sea level
is expected to keep rising into the future the reduction of wave heights due to the reef
system will only decrease further. It is unsure at what point the worsening wave conditions
inside the bay will become problematic however this model gives a good indication of how
quickly the conditions will worsen.
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5. Conclusions
The aim of this study was to develop a wave model to help further understand the wave
climate, but also consider how sensitive the climate would be to an increase in mean sea
level and ultimately how the coast will behave over the next 100 years.
In terms of constructing the model, the best possible model was built given the available
data. Ideally 100% in situ observations would be used to build the bathymetry and force the
model however in the absence of this data appropriate sources have been used for the
framework as discussed in the research methodology. Any errors that can be accredited to
the use of such data can be considered irrelevant for the purpose of this study was never to
accurately predict wave heights or sensitive sediment transport but rather to show how the
wave climate will behave relative to a predicted rise in mean sea level. The predictions for
rises in mean sea level due to climate change will always be passionately debated. The
model has been constructed in a way to keep this as a variable that can be easily changed to
reflect differing views. For these reasons the data that has been used to drive the model can
be deemed accurate and the model itself can be accepted as a good model.
At the commencement of this study I expected to see a small effect on the bay of Lancelin
as a result of a rising sea level. I did not however expect to see the kind of figures that were
produced by the model. An increase over the next 100 years in significant wave height
inside the bay of 62.5% for a minimum predicted sea level increase and an increase of
140.6% for a maximum predicted sea level increase should be alarming for anyone with in
an interest in the bay.
An increase like this will affect all aspects of marine activity in the harbour. The number of
days acceptable to launch boats from the shore will drop. The attraction for tourists
swimming, diving, boating and fishing will slowly drop as conditions inside the bay worsen.
The fishing industry that exists in Lancelin may need to look for more acceptable locations
to harbour their boats in fear of lost revenue from problems occurring with regard to an
increase in wave heights within the bay. Even the town jetty may have to be redesigned to
accommodate for the changing conditions.
39
To put these figures into perspective one only needs to look at the guidelines for the design
of boat launching facilities in Western Australia. The criteria for a ‘good’ wave climate in
small craft harbours state that the significant wave height should stay below 0.3m in height
(AS3692, 2001). Currently the bay meets this basic requirement but given even just the
minimum predicted rise in sea level pushes this bay out of the guidelines for any boat
launching facilities.
The results that have come from this study highlight the potential effects that can come
from climate change. Hopefully this study will help breakdown people’s views that climate
change will not affect them in their lifetime as this model has proven that over the next 100
years the protected waters that make the bay of Lancelin a major attraction, will only
worsen.
40
6. Recommendations
Given the results of this paper it is strongly recommend that further research into the wave
climate inside the bay of Lancelin be conducted. Specifically research into more accurate
wave height predictions and sediment transport is required, however finding a way to
validate the model with in situ observations before proceeding with any physical
recommendations is advised.
This model from the outset has been constructed in such a way that it can be revisited and
modified to give any desired outputs. If this model is to be used in the future It is
recommended to upgrade the bathymetry with more accurate survey data. This model
relies heavily on the bathymetry for all of its calculations and any errors associated with the
model can be greatly reduced by a more accurate bathymetry.
For any infrastructure planning inside the bay, the findings of this study should be consulted
before commencement of any construction. It is also recommended considering the findings
of this study with regard to the serviceability of any current infrastructure in particular the
main service jetty for the town.
41
42
7. REFERENCES
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Standards Australia 2001.
Bicknell, C. 2010. ‘Sea Level Change in Western Australia – Application to Coastal
Planning.’ Department of Transport Coastal Infrastructure, Coastal Engineering Group.
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Observations: Oceanic Climate Change and Sea Level. In: Climate Change 2007: The
Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of
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Gozzard, B. ‘WACoast – A knowledge Base for Coastal Managers’, October 2009.
Hegge, B., Eliot, I. & Hsu, J. 1996, ’Sheltered sand beaches of south-western Australia’,
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www.ipcc.ch.
43
Lemm, A. J. 1996, Offshore Wave Climate: Perth, Western Australia, Honours Thesis,
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Redevelopment.’
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Rahmstorf, S. (2007). "A Semi-Empirical Approach to Projecting Future Sea-Level Rise".
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44
8. Appendices
8.1 Matlab Scripts
Wind Data
load wind_ 2009.txt dt=datenum(2009,01,01,00,00,00):datenum(0000,00,00,06,00,00):datenum(2011,0
1,25,18,00,00); dt2=[]; for mm=1:12; dt2=[dt2 datenum(2009,mm,01,00,00,00)]; end dt3=[dt2 datenum(2010,01,01,00,00,00)] subplot(311) plot(dt,wind_ 2009(:,1)) datetick('x','mmm')
title('Wind U','FontName','Calibri', 'Fontsize',14) ylabel('ms^-^1','FontName','Calibri', 'Fontsize',14) axis([dt3(1) dt3(length(dt3)) 0 20]) set(gca,'Box','off','TickDir', 'out','TickLength',[.02 .02])
% set(gca,'Box','off','TickDir', 'out','TickLength',[.02
.02],'XMinorTick','off','YMinorTick','off','XColor',[0.0 0.0
0.0],'YColor',[0.0 0.0 0.0],'YTick', 2:2:20,'LineWidth',.5);
subplot(312) plot(dt,wind_ 2009(:,2)) datetick('x','mmm') title('Wind V','FontName','Calibri', 'Fontsize',14) ylabel('ms^-^1','FontName','Calibri', 'Fontsize',14) axis([dt3(1) dt3(length(dt3)) 0 20]) set(gca,'Box','off','TickDir', 'out','TickLength',[.02 .02]) subplot(313) plot(dt,wind_ 2009(:,3)) datetick('x','mmm') title('MSL Pressure','FontName','Calibri', 'Fontsize',14) ylabel('mb','FontName','Calibri', 'Fontsize',14) axis([dt3(1) dt3(length(dt3)) 1000 1040]) set(gca,'Box','off','TickDir', 'out','TickLength',[.02 .02])
Wind Rose
path(path,'E:\Thesis\model_lancelin\wind') load wind_pnt.txt u=wind_pnt(:,2); v=wind_pnt(:,1); [s,d] = spddir(u,v);
figure(1) Db=d(1:240); Vb=s(1:240);
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wind_rose(Db,Vb,'ci',[1 2 7],'dtype','meteo')
figure(2) Db=d(600:840); Vb=s(600:840);
wind_rose(Db-180,Vb,'ci',[1 2 7],'dtype','meteo')
Wave Data
load lancelin_wave _ 2009.txt dt=datenum(2009,01,01,00,00,00):datenum(0000,00,00,03,00,00):datenum(2010,0
1,02,09,00,00); dt2=datenum(2009,01,01,00,00,00):datenum(0000,01,00,00,00,00):datenum(2010,
01,02,09,00,00);
subplot(311) plot(dt,lancelin_wave _ 2009(:,2)) datetick('x','dd/mm') title('Sig. Wave Height','FontName','Calibri', 'Fontsize',14) ylabel('m','FontName','Calibri', 'Fontsize',14) axis([dt(1) dt(length(dt)) 0 10])
set(gca,'Box','off','TickDir', 'out','TickLength',[.02
.02],'XMinorTick','off','YMinorTick','off','XColor',[0.0 0.0
0.0],'YColor',[0.0 0.0 0.0],'YTick', 1:2:9,'LineWidth',.5);
subplot(312) plot(dt,lancelin_wave _ 2009(:,3)) datetick('x','dd/mm') title('Mean Wave Period','FontName','Calibri', 'Fontsize',14) ylabel('Sec','FontName','Calibri', 'Fontsize',14) axis([dt(1) dt(length(dt)) 0 20]) set(gca,'Box','off','TickDir', 'out','TickLength',[.02 .02]) subplot(313) plot(dt,lancelin_wave _ 2009(:,4)) datetick('x','dd/mm') title('Mean Wave Direction','FontName','Calibri', 'Fontsize',14) ylabel('^o','FontName','Calibri', 'Fontsize',14) axis([dt(1) dt(length(dt)) 0 360]) set(gca,'Box','off','TickDir', 'out','TickLength',[.02 .02])
Wave Rose
path(path,'C:\wind_rose\model_wave') load model_bus _sig _dir.txt
Db=model_bus _sig _dir(:,2); Vb=model_bus _sig _dir(:,1);
figure wind_rose(Db-180,Vb,'ci',[1 2 7],'dtype','meteo')
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Point Plots
path(path,'E:\tst') dt=datenum(2009,01,01,08,00,00):datenum(0000,00,00,01,00,00):datenum(2009,1
2,29,00,00,00); data=xlsread('zero_50_100_5m_in_out_reef.xls'); plot(dt,data(:,1),'b',dt,data(:,7),'g',dt,data(:,13),'k') datetick('x','mmm') ylabel('Sig. wave height (m) ') xlabel('2009')
Line Plots
path(path,'F:\tst') data_0_1=xlsread('line_1_0cm.xls'); data1a=data_0_1(1:10:length(data_0_1),:); data_0_2=xlsread('line_2_0cm.xls'); data2a=data_0_2(1:10:length(data_0_2),:); x1=((1:1:200)*100)/1000; x2=((1:1:199)*100)/1000;
hold q1=plot(x2,data2a','g') q2=plot(x1,data1a','b') axis([0 10 0 10])
ylabel('Sig. wave height (m) ') xlabel('Distance out from shoreline (km)')
Mean Wave Heights and percentage reduction due to reef system
path(path,'E:\tst') dt=datenum(2009,01,01,08,00,00):datenum(0000,00,00,01,00,00):datenum(2009,1
2,29,00,00,00); data=xlsread('zero_50_100_5m_in_out_reef.xls'); x = mean(data(:,1)); y = mean(data(:,2)); p=(1-x/y)*100;
Mean Wave Heights along extraction lines
path(path,'F:\tst') dt=datenum(2009,01,01,08,00,00):datenum(0000,00,00,01,00,00):datenum(2009,1
2,29,00,00,00); line_1_50cm=xlsread('line_1_50cm.xls'); line_2_50cm=xlsread('line_2_50cm.xls'); hold
ln1=mean(line_1_50cm); ln2=mean(line_2_50cm);
plot(ln1,'b')
47
plot(ln2,'g')
ylabel('Sig. wave height (m) ') xlabel('Distance out from shoreline (x10^2^m)')
Mean Wave Heights along extraction lines Comparison
path(path,'F:\tst') dt=datenum(2009,01,01,08,00,00):datenum(0000,00,00,01,00,00):datenum(2009,1
2,29,00,00,00); line_1_0cm=xlsread('line_1_0cm.xls'); line_1_50cm=xlsread('line_1_50cm.xls'); line_1_100cm=xlsread('line_1_100cm.xls'); hold
ln1=mean(line_1_0cm); ln2=mean(line_1_50cm); ln3=mean(line_1_100cm);
plot(ln1,'b') plot(ln2,'g') plot(ln3,'k')
axis([0 100 0 3.5])
ylabel('Sig. wave height (m) ') xlabel('Distance out from shoreline (x10^2^m)')