ARTICLE IN PRESS
Ocean Engineering 37 (2010) 37–47
Contents lists available at ScienceDirect
Ocean Engineering
journal homepage: www.elsevier.com/locate/oceaneng
Potential impact of sea level rise on coastal surges in southeast Louisiana
Jane McKee Smith , Mary A. Cialone, Ty V. Wamsley, Tate O. McAlpin
US Army Engineer Research and Development Center, Coastal and Hydraulics Laboratory, 3909 Halls Ferry Road, Vicksburg, MS 39180-6199, USA
a r t i c l e in fo
abstract
Article history:
Received 23 October 2008
Accepted 19 July 2009
Available online 28 July 2009
Potential impacts of 0.5 and 1.0 m of relative sea level rise (RSLR) on hurricane surge and waves in
southeast Louisiana are investigated using the numerical storm surge model ADCIRC and the nearshore
spectral wave model STWAVE. The models were applied for six hypothetic hurricanes that produce
approximately 100 yr water levels in southeastern Louisiana. In areas of maximum surge, the impact of
RSLR on surge was generally linear (equal to the RSLR). In wetland or wetland-fronted areas of moderate
peak surges (2–3 m), the surge levels were increased by as much as 1–3 m (in addition to the RSLR). The
surge increase is as much as double and triple the RSLR over broad areas and as much as five times the
RSLR in isolated areas. Waves increase significantly in shallow areas due to the combined increases in
water depth due to RSLR and surge increases. Maximum increases in wave height for the modeled
storms were 1–1.5 m. Surge propagation over broad, shallow, wetland areas is highly sensitive to RSLR.
Wave heights also generally increased for all RSLR cases. These increases were significant (0.5–1.5 m for
1 m RSLR), but less dramatic than the surge increases.
Published by Elsevier Ltd.
Keywords:
Hurricane
Katrina
Sea level rise
Southeast Louisiana
Storm surge
Waves
ADCIRC
STWAVE
IPET
1. Introduction
Sea level rise (SLR) and subsidence are significant issues in the
design of flood protection for southeast Louisiana. Flood walls, in
particular, cannot be easily raised after construction, so future SLR
must be considered in their initial design. Global or regional SLR is
an increase in water level due to climate change (primarily due to
thermal expansion of ocean waters and melting of glaciers and ice
caps). Locally, sea level may also rise relative to the land level due
to subsidence (e.g., due to compaction of subsurface sediments,
extraction of subsurface hydrocarbons or water, collision of
tectonic plates, isostatic response, sediment loading, and subsurface faulting). The relative sea level and its rise over time alter the
extent and degree that surge and wave heights generated by
hurricanes impact coastal areas. In the past, relative sea level rise
(RSLR) was included in coastal protection design by raising design
water levels an amount equivalent to the RSLR. But, surge
generation and propagation are nonlinear processes and linear
addition of RSLR to design water levels underestimates the impact
in many areas. In addition to the surge elevation, wave heights
also increase with water level in coastal areas where the wave
height is limited by water depth. RSLR impacts not only the storm
response, but also landscape type in southeast Louisiana. Higher
water levels in wetlands impact vegetation type, where a wetland
Corresponding author. Tel.: +1 601 634 2079; fax: +1 601 634 4314.
E-mail address: Jane.M.Smith@usace.army.mil (J.M. Smith).
0029-8018/$ - see front matter Published by Elsevier Ltd.
doi:10.1016/j.oceaneng.2009.07.008
may change from freshwater marsh to brackish marsh to open
water with increasing water level. RSLR may also lead to wetland
loss, shoreline erosion, erosion of protective barrier islands
(through overwash and breaching), and an overall change in the
local morphology (islands transforming to submerged shoals and
wetlands becoming open lakes or bays). Wamsley et al. (2009a,b)
discuss the potential impact of wetland loss on hurricane surges.
RSLR has been estimated using a number of techniques for
southeast Louisiana, resulting in a large range of RSLR projections.
Penland and Ramsey (1990) use National Ocean Survey (NOS)
tidal records from Eugene Island, Louisiana, (1934–1974) and
Grand Isle, Louisiana, (1947–1987) to estimate RSLR rates of 1.19
and 1.04 cm/yr, respectively. Estimates given by NOS (http://
tidesandcurrents.noaa.gov/sltrends) of RSLR rates are 0.965 cm/yr
with a 95% confidence interval of 70.124 cm/yr (1939–1974) for
Eugene Island and 0.924 cm/yr with a 95% confidence interval of
70.059 cm/yr (1947–2006) for Grand Isle. Based on NOS tide
gauge records, these rates in the Mississippi River Delta region
(southeast Louisisana) are the highest rates of RSLR in the Gulf of
Mexico. The NOS estimated rates on the Gulf of Mexico coast of
Florida are approximately 0.08–0.24 cm/yr, the rate for Dauphin
Island, Alabama, is 0.30 cm/yr, and the rates for Texas are
0.19–0.68 cm/yr (with the Texas rates generally highest in the
east and decreasing to the west). Penland and Ramsey (1990) also
provide estimates of approximately 1 cm/yr of RSLR in southeast
Louisiana based on US Army Corps of Engineers tide stations in
Terrebonne, Jefferson, Plaquemines, and Orleans Parishes with
records of 37–57 yrs. Evaluating RSLR over a shorter and more
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recent time period (1983–2006), IPET (2007a) estimated RSLR of
0.58 cm/yr for Grand Isle and 0.89 cm/yr in the Inner Harbor
Navigation Canal at Florida Avenue in New Orleans.
The Intergovernmental Panel on Climate Change (IPCC)
(Solomon et al., 2007) estimates a global SLR of 0.1870.05 cm/
yr over a similar time period (1961–2003) based on tide gauges,
and for a more recent period (1993–2003) they report global SLR
of 0.3170.07 cm/yr based on satellite altimeter data. They
attribute 90% of the later SLR estimate to climate change
(thermal expansion and glacier and ice sheet melting). The IPCC
projects future global SLR over the next 100 yr based on
modeling of six scenarios (with global surface warming of
2–4 1C) with a median range of 0.2–0.6 m. Pfeffer et al. (2008)
investigate kinematic constraints on glacier contributions to SLR
and estimate the range of SLR as 0.8–2.0 m by 2010 based on
glaciological conditions.
Yet another view is given by Törnqvist et al. (2004, 2006) who
use basal peat records to trace RSLR over thousands of years. For
the time period 600–1600 AD, they report RSLR of 0.055 cm/yr for
the Mississippi River Delta, based on locations that are about
10 km from the coast. Gonza lez and Törnqvist (2006) suggest that
the peat record analysis results represent the glacio-isostatic
contribution to subsidence in coastal Louisiana.
For the Mississippi River Delta, the RSLR includes contributions
from global SLR, regional glacio-isostatic subsidence, and local
factors, such as compaction of Holocene sediments and anthropogenic contributions (e.g., hydrocarbon and water extraction).
There is significant uncertainty in future projections of each of
these components, but it is clear that the global SLR component is
accelerating. The RSLR estimates given above are based on
differing time periods and spatial areas, but indicate the rapidly
changing conditions along the coast of southeast Louisiana. For
the purposes of the analysis given here, we evaluate RSLR of 0.5
and 1.0 m, which would likely occur in the next 50–100 yr.
The purpose of this paper is to estimate the potential impact of
RSLR on hurricane surge and waves in southeast Louisiana. This is
accomplished through numerical surge and wave modeling of six
hypothetical hurricanes that produce approximately 100 yr water
levels in the area (water levels with approximately 1% chance of
occurrence in a given year based on historical hurricane
frequency), comparing a base case (present day conditions) with
0.5 and 1.0 m of RSLR. Section 2 describes the modeling
methodology applied, Sections 3 and 4 describe the surge and
wave results, respectively, and conclusions are given in Section 5.
Table 1
Hypothetical hurricane parameters.
CP, mb
Rmax, km
Vf, m/s
Storm 9
Storm 15
Storm 17
Storm 24
Storm 53
Storm 126
900
40.4
4.9
930
47.8
4.9
900
27.6
4.9
930
47.8
4.9
900
34.1
4.9
900
32.8
4.9
2.1. Hypothetical hurricanes
The six hypothetical storms selected for this analysis are
summarized in Table 1. The storms have central pressure (Cp) of
900 or 930 mb, radius of maximum winds (Rmax) of 28–48 km
(15–26 nm), and forward speeds (Vf) of 4.9 m/sec (11 mph). The
tracks for these storms are shown in Fig. 1. These storms were
selected because they produce water levels with approximately a 1%
probability of occurrence in a given year in southeast Louisiana (east
Orleans Parish, St. Bernard Parish, Plaquemines Parish, and southern
Jefferson Parish) based on model simulations of hypothetical
hurricanes using the joint probability method—optimal sampling
developed through a joint Interagency Performance Evaluation Task
Force (IPET), US Army Corps of Engineers, Federal Emergency
Management Agency, and National Oceanic and Atmospheric
Administration effort (IPET, 2007b,c). Wind fields for these
hypothetical storms were generated using a planetary boundary
layer (PBL) model (Thompson and Cardone, 1996).
2.2. Vegetative roughness
Spatially variable Manning n coefficients were assigned to the
circulation and wave model grids using land cover definitions
from the United States Geological Survey (USGS) Gap Analysis
Program (GAP) LA-GAP in Louisiana, USGS MS-GAP in Mississippi,
and the USGS National Land Cover Data (NLCD) in Texas and
Alabama (National Wetlands Research Center, 2004; Bunya et al.,
2009). In Louisiana, the n values for saline to fresh marsh range
from 0.035 to 0.055, for wetland to upland scrub/shrub range
form 0.06 to 0.09, and for wetland to upland forest the range is
0.14–0.18. As relative sea level increases in wetlands, the
vegetation type and n value will change. Wetlands evolve from
freshwater marsh to brackish marsh to open water with increasing water level. Little guidance exists on how this transition takes
place, so simple, but realistic rules were used to evolve the
Manning n values for the increased water level simulations:
2. Methodology
If the bottom elevation is above mean tide level (MTL),
The potential impact of RSLR on surge and waves due to
hurricanes is evaluated using numerical surge and wave models
for southeast Louisiana. A base case was run using post-Katrina
bathymetry and levee heights expected to be in place in 2010.
Then 0.5 and 1.0 m of additional water were added to represent
future RSLR scenarios and the runs were repeated. For this
evaluation, six hypothetical hurricanes were simulated. These
hurricanes generated approximately 100 yr water levels in areas in
southeast Louisiana (IPET, 2007c). For these simulations, the
bathymetry and topography were not modified to represent
coastal erosion or wetland loss (no modeling of erosion or
sedimentation), but bottom roughness values were updated to
reflect vegetation appropriate for the increased water levels. This
section describes the six storms, the methodology used to modify
the vegetative roughness, application of the surge model, the
application of the wave model, and modeling uncertainty.
Additional information on the modeling methodology is given
by Bunya et al. (2009) and Dietrich et al. (2009).
including the RSLR, the n value is not changed.
If the bottom elevation is below 0.3 m MTL (tide range in
southeast Louisiana is the order of 0.3–0.5 m):
1 If the initial n value is greater than 0.1, the value is halved
and wind sheltering due to canopy is turned off.
1 If the initial n value is less than 0.1, it is set to 0.02 for open
water.
If the bottom elevation is between MHW and MLW:
1 If the initial n value is greater than 0.1, the value is halved
and wind sheltering due to canopy is turned off.
1 If the n value is less than 0.1, it is set to 0.035 for saline marsh.
Fig. 2a–c shows the Manning n values applied for the base case,
0.5 m RSLR, and 1.0 m RSLR. The roughness values are reduced in
all wetland areas with RSLR. Terrebonne Bay, Barataria Bay, the
West Bank, Caernarvon Marsh, and Biloxi Marsh change largely to
open water for the 1 m RSLR, and the wetlands around Lake
Maurepas are also significantly degraded.
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Fig. 1. Hypothetical hurricane tracks for Storms 9, 15, 17, 24, 53, and 126 in southeast Louisiana.
Fig. 2. Manning n values assigned for (a) base case, (b) 0.5 m, and (c) 1.0 m of relative sea level rise.
2.3. Surge model
The ADCIRC unstructured coastal ocean circulation model was
applied to compute water surface elevation and currents. The
ADCIRC model solves the depth-integrated barotropic shallowwater equations in spherical coordinates using a finite-element
solution, resulting in second-order accurate elevation and velocity
solutions (Luettich and Westerink, 2004; Westerink et al., 2008).
The solution is accurate and robust when applied to the wide
range of scales of motion. The unstructured grid allows for high
grid resolution where solution gradients are large and low grid
resolution where solution gradients are small, minimizing both
local and global errors for a given computational cost (Blain et al.,
1998). The ADCIRC simulations were approximately 6 days in
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duration, with 2 days of river spin up (ramped up from zero to
their full value), 2 days of wind and pressure forcing only, and 2
days (bracketing hurricane land fall) of wind, pressure, and wave
forcing. Because the waves and surge interact, the surge was first
calculated with no wave forcing, these surges were passed to the
wave model to simulate wave transformation and generation, and
then ADCIRC was rerun including the wave forcing. Simulations
were run for six storms with three imposed mean water levels
(0, 0.5, and 1.0 m of RSLR) for a total of eighteen runs.
2.4. Wave modeling
Gulf of Mexico-scale wave generation and propagation was
calculated with the deepwater spectral wave model WAM (Komen
et al., 1994). WAM solves the time-dependent wave action balance
equation, including the source-sink terms of atmospheric input,
nonlinear wave–wave interactions, white capping, bottom friction, and depth-limited wave breaking. WAM was applied on a
0.05 deg. latitude–longitude grid covering the entire Gulf of
Mexico with 28 frequencies and 24 direction bins. WAM was
forced with the PBL wind fields.
Near-coast wave spectra from WAM were then used to drive a
nested nearshore spectral wave generation and transformation
model STWAVE (Smith et al., 2001; Smith, 2007). STWAVE solves
the steady-state conservation of spectral action balance along
backward-traced wave rays. The source terms include wind input,
nonlinear wave–wave interactions, white capping, bottom friction, and surf-zone breaking. The assumptions made in STWAVE
include a mild bottom slope; negligible wave reflection; steady
waves, currents, and winds; linear refraction and shoaling; and a
depth-uniform current. STWAVE was run over four nearshore
grids (including the Alabama, Mississippi and eastern Louisiana
coasts and Lake Pontchartrain) with a spatial resolution of 200 m
and the same 28 frequencies from WAM, but increased directional
resolution (5 deg. interpolated from the 15-deg.-resolution WAM
spectra). STWAVE bathymetry and friction coefficients were
interpolated from the ADCIRC mesh. STWAVE was applied in
half-plane mode, where only waves propagating toward the coast
are represented, along the open coast and in full-plane mode,
allowing generation and propagation in all directions, in Lake
Pontchartrain. Wave breaking in the surf zone limits the
maximum wave height based on the local water depth and wave
steepness. STWAVE was run at 30 min intervals for 2 days around
storm landfall using spatially variable winds and water levels
interpolated from ADCIRC.
Additional information on the modeling methodology and
validation of the methodology for Hurricanes Katrina and Rita is
given by Bunya et al. (2009) and Dietrich et al. (2009).
Additionally, validation of STWAVE in Biloxi Marsh for Hurricane
Gustav data is presently in progress. All wave heights reported are
significant wave heights.
2.5. Modeling uncertainty
Uncertainty in the RSLR modeling results from errors or
uncertainty in the models themselves and in the input conditions,
including winds, bathymetry, friction coefficients, and boundary
conditions. ADCIRC errors based on high-water marks for
Hurricanes Katrina and Rita were 0.3 and 0.2 m, respectively.
STWAVE errors for the only nearshore gauges along the coast for
Katrina and Rita were 0.4 and 0.1 m, respectively. The sensitivity of
ADCIRC and STWAVE to model inputs for Hurricane Katrina was
investigated by IPET (2007b). Increasing and decreasing the wind
speeds by 5% led to a maximum of 0.3–0.6 m changes in the surge
and 0.2–0.3 m changes in the nearshore waves. Erosion of the
Chandeleur islands as occurred during Hurricane Katrina (representing uncertainty in bathymetry) increased the nearshore surge
in areas by 0.1–0.2 m, but did not significantly change the
nearshore waves. Modification of the bottom friction coefficients
from pre-Katrina to post-Katrina conditions (to represent wetland
losses) increased nearshore surges by up to 0.3–0.5 m and
nearshore waves up to 0.2 m. Katrina was a more severe storm
for this area than the simulations run for this analysis, so the error
and sensitivity analyses provide an upper bound for the expected
uncertainty. Also, the focus of this paper is not the absolute surge
and wave magnitudes, but the relative differences between the
base and the RSLR scenarios.
3. Surge results
The surge results for the six storms show consistent trends in
terms of the impact of RSLR on water levels in the very complex
region of southeast Louisiana (complex in terms of bathymetry,
landscape, and levees). Fig. 3 shows the shallow bathymetry/
topography of southeast Louisiana with the areas of interest
labeled. The brown lines in the figure are levees and elevated road
beds, which are represented as weirs in ADCIRC. To illustrate the
surge response to RSLR, the results from Storm 17 are shown in
detail, and summary plots and discussion of all the storms are
presented.
3.1. Storm 17
The track of Storm 17 is through the middle of the region of
interest and it is one of the more intense, smaller storms
simulated (Cp ¼ 900 mb and Rmax ¼ 27.6 km (14.9 nm)). Fig. 4a–c
shows the contours of maximum surge over the duration of the
storm for 0, 0.5 and 1.0 m of RSLR, respectively. In the base case
(0 m RSLR), maximum surge elevations are over 6.5 m in
Caernarvon Marsh, 5.5 m in Lake Borgne, 5 m between Lake
Pontchartrain and Lake Maurepas, 4.5 m at the Louisiana–
Mississippi state line (north of Lake Borgne) and 4 m at Grand
Isle. The addition of 0.5 and 1.0 m of RSLR (Fig. 4b and c) shows
relatively linear increases in the peak surges in these peak-surge
areas. For example, in Caernarvon Marsh, the peak surge increases
from 6.5 to 7 m and 7.5 m for 0.5 and 1.0 m of RSLR, respectively. In
the area between Lakes Pontchartrain and Maurepas, the peak
surge response is slightly less than linear. In other areas, such as
the West Bank, Lake Pontchartrain, and Lake Maurepas, where the
base surge levels were moderate (2–3 m), the 0.5 m RSLR increases
the peak surge to 3.5–5 m and 1.0 m RSLR increases the peak surge
to 4.5–6 m. The values are as much as double and triple the RSLR
over broad areas and as much a five times the RSLR in isolated
areas. Fig. 5a shows the differences in maximum surge between
the 0.5 m RSLR and the base case (0 RSLR) minus the 0.5 m RSLR
(thus a zero value indicates that the increase in total water level is
equal to the RSLR). The yellows and reds in these figures represent
surge increases greater than the RSLR and the blues represent
surge increases less than the RSLR. Fig. 5b shows the differences in
maximum surge between the 1.0 m RSLR and the base case (0
RSLR) minus the 1.0 m RSLR. The patterns of surge increase and
decrease between the 0.5 and 1.0 m RSLR are very consistent,
although the ratios of differences normalized by the RSLR are
slightly greater for the 0.5 m RSLR. What the areas of increased
surge have in common is that they are on the right-hand side of
the storm track (strong side, winds blowing generally onshore)
and they are in very shallow bathymetric/topographic areas where
the RSLR is a significant portion of the total water depth. Some of
these areas are also in ‘‘pockets’’ that are surrounded on two or
three sides by levees or topographic features. Many of the
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Lake
Maurepas
Lake Pontchartrain
Lake Borgne
Biloxi Marsh
West Bank
West Bank
Caenarvon Marsh
Barataria Bay
Terrebonne Bay
Lower Plaquemines
Parish
Grand Isle
Grand Isle
Fig. 3. Bathymetry of southeast Louisiana.
Fig. 4. (a) Maximum surge for Storm 017 base case (0 m RSLR). (b) Maximum surge for Storm 017 for 0.5 m RSLR. (c) Maximum surge for Storm 017 for 1.0 m RSLR.
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J.M. Smith et al. / Ocean Engineering 37 (2010) 37–47
Fig. 5. (a) Increase in maximum surge for Storm 017 for 0.5 m RSLR (0.5 m RSLR surge minus base case 0.0 m RSLR surge minus 0.5 m). (b) Increase in maximum surge for
Storm 017 for 1 m RSLR (1.0 m RSLR surge minus base case 0.0 m RSLR surge minus 1 m). (c) Increase in maximum surge for Storm 009 for 1 m RSLR (1.0 m RSLR surge minus
base case 0.0 m RSLR surge minus 1 m). (d) Increase in maximum surge for Storm 053 for 1 m RSLR (1.0 m RSLR surge minus base case 0.0 m RSLR surge minus 1 m). (e)
Increase in maximum surge for Storm 126 for 1 m RSLR (1.0 m RSLR surge minus base case 0.0 m RSLR surge minus 1 m). (f) Increase in maximum surge for Storm 024 for
1 m RSLR (1.0 m RSLR surge minus base case 0.0 m RSLR surge minus 1 m).
enhanced surge areas coincide with wetlands, which are areas
where the Manning n coefficients were reduced due to RSLR (Fig.
2). These locations are also generally further inland, where the
shallow depths/slow surge propagation speeds or constrictions
(e.g., the passes between Lake Borgne to Lake Pontchartrain) limit
the volume of water inundating these locations, so RSLR and
changes in marsh roughness increase the speed and inland
propagation of the surge.
3.2. Storm 15
Storm 15 has the same track as Storm 17, but the storm is much
larger (Rmax ¼ 25.8 nm) and slightly less intense (Cp ¼ 930 mb).
The surge response is very similar to Storm 17, with slightly lower
surges near the track line due to the lower intensity, but similar
values away from the eye of storm. The largest increases in
maximum surge are 0.5–1.0 m less than those computed for Storm
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17. The maximum amplifications occur on the West Bank (values
of 1.5 times the RSLR, compared to 2 for Storm 17) and around
Lake Maurepas (values of 1.5 times the RSLR, compared to 2.5 for
Storm 17).
43
South STWAVE grids (Fig. 6). The storm selection was based on
illustrating the greatest RSLR impact, although the trends were
generally consistent for all storms.
4.1. Lake Pontchartrain grid, Storm 17
3.3. Storms 9, 53, and 126
Storms 9, 53, and 126 have very similar surge parameters. The
tracks of Storms 53 and 126 are parallel with Storm 126 making
landfall further to the west. Storm 9 makes landfall west of Storm
126 and has a north–northwest track instead of the northwest
tracks of Storms 53 and 126. The peak storm surge patterns for
these storms are similar to each other with the highest surges in
Caernarvon Marsh, Lake Borgne, and Terrebonne Bay. Storm 9 has
the most westerly landfall location and thus has the largest surge
in Terrebonne Bay (5 m), while Storm 53 has a more easterly
landfall location and has the largest surge in Caernarvon (7.5 m).
Fig. 5b shows the differences in maximum surge between the
1.0 m RSLR and the base case with the RSLR subtracted for Storm
9. This is representative of Storms 53 and 126 (Fig. 5c and d,
respectively), as well. As with Storm 17, in the regions of
maximum surge the surge increases over RSLR are relatively
linear (although they increase by as much as 0.5 m over the RSLR).
The surge increases 1–3 m (above the 1 m RSLR) in Lake Maurepas
and the West Bank, areas of moderate 2–2.5 m surge in the base
cases, again similar to Storm 17.
3.4. Storm 24
Storm 24 differs somewhat from the other storms in that it
makes landfall further to the east along the eastern edge of Lake
Pontchartrain. This means that the West Bank and Lake Maurepas
are west of the storm track and the responses in these areas are
much smaller for this storm, compared to the other five storm.
Storm 24 has the same parameters as Storm15 (these storms are
larger, but weaker than the other storms). The maximum storm
surge for the base case is 5 m in Caernarvon and 5.5 m along the
Mississippi River levees in lower Plaquemines Parish, east of the
river. Fig. 5e shows the differences in maximum surge between
the 1.0 m RSLR and the base case with the RSLR subtracted for
Storm 24. The surge response to the 1.0 m RSLR shows less
amplification than in the other storms, although the position of
the maximum surge moves from the east river levee in lower
Plaquemines Parish northward into the Caernarvon Marsh and
surge height in this area increases by 1 m above the RSLR. There is
also an increase of 0.5–1.0 m above the RSLR in lower Plaquemines
Parish on the west side of the Mississippi River (2–4 m base surge
level), 0.5 m in Lake Pontchartrain, and 1–1.5 m in Lake Maurepas.
4. Wave results
Waves are impacted not only by the RSLR itself, but by the
spatially variable changes in surge described in the previous
section (in some cases up to 3 m). The main impacts of the RSLR
and increased surge on waves are increased wave growth, reduced
wave breaking, reduced refraction and shoaling, and reduced
frictional dissipation. In areas of depth-limited wave breaking,
wave height reduction due to breaking can be quite strong and
approximately linear with the change in depth. The other effects
are generally far less than linear, except in very shallow depths (on
the order of meters). Refraction, shoaling, and dissipation are
reduced as depth increases (and Manning n values decrease) and
wave growth increases. In the interest of space, only the results of
one storm are shown on each of the Pontchartrain, Southeast, and
Storm 17 tracks just west of Lake Pontchartrain and produces
strong westerly winds over the western part of the lake. Fig. 7a
and b shows the maximum wave height for each grid cell over the
duration of the storm and the associated mean wave direction for
the base case and 1 m RSLR (including the increased surge),
respectively. Waves are generated locally in Lake Pontchartrain
and grow to maximum heights of 3.4 m for the base case and
3.6 m for the 1 m RSLR case, due to the differences in depth. For all
the storms, RSLR has a minimal effect on wave growth in the lake.
A larger effect is the nearshore breaking wave heights along the
shoreline. As the shoreline shifts inland with RSLR, the breaking
location also shifts shoreward. The differences in the peak wave
heights between the base and 1 m RSLR cases are shown in Fig. 7c
(positive values indicate increased wave height for the RSLR case).
The most significant differences in wave height are seen in the
wetlands to the northwest of Lake Pontchartrain. The wave
heights in this area are as much as 1.6 m higher for the 1 m
RSLR case. The higher waves are due to less wave breaking on the
lake shore, less frictional dissipation (deeper depth and smaller
Manning n coefficients), and possibly more wind input due to the
reduced tree canopy.
4.2. Southeast grid, Storm 53
Storm 53 tracks parallel to the Mississippi River and west of
the river. Fig. 8a and b shows the maximum wave height for each
grid cell on the southeast grid over the duration of the storm and
the associated mean wave direction for the base case and 1 m of
RSLR, respectively. The southeast grid results are relevant east of
the Mississippi River. For the base case, the wave height decreases
gradually across the shelf from 12 to 6 m offshore of the
Chandeleur Islands due to depth- and steepness-limited wave
breaking. The islands are flooded at the peak of the storm, but the
shallow depth induces additional, concentrated breaking and
wave heights are less than 1 m in the lee of the island for the base
case. In the sound landward of the Chandeleurs, the waves grow
slightly and then dissipate across Biloxi and Caernarvon Marshes
due to both depth-limited breaking and frictional dissipation.
Wave heights in Lake Borgne are 0.6–0.8 m. With 1 m RSLR, the
general patterns in wave height are the same as the base case, but
the wave heights are 0.5–1.3 m higher, largely due to less
dissipation across the Chandeleurs, less dissipation in the
marshes, and slightly more wave growth. Wave heights are also
as much as 1 m higher along the southeast portion of the River
Delta. The differences in the peak wave heights between the base
and 1 m RSLR cases are shown in Fig. 8c (positive values indicate
increased wave height for the RSLR case). Note that the surge is
not greatly enhanced due to RSLR in this area for Storm 53
(see Fig. 5c).
4.3. South grid, Storm 53
Fig. 9a and b shows the maximum wave height for each grid
cell on the south grid for Storm 53 over the duration of the storm
and the associated mean wave direction for the base case and 1 m
of RSLR, respectively. The south grid results are relevant west of
the Mississippi River. Wave height decreases gradually across the
shelf from 14 to 4 m offshore of the barrier islands due to depthand steepness-limited wave breaking (similar to the southeast
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J.M. Smith et al. / Ocean Engineering 37 (2010) 37–47
Depth (m MTL)
30.0
25.0
20.0
15.0
10.0
5.0
0.0
Pontchartrain Grid
MS-AL Grid
Southeast Grid
South Grid
Fig. 6. STWAVE grid locations overlaid on bathymetry.
Fig. 7. (a) Maximum wave heights Storm 17 for base case, Pontchartrain grid. (b) Maximum wave heights Storm 17 for 1 m RSLR, Pontchartrain grid. (c) Maximum wave
heights for 1 m RSLR minus base case for Storm 17, Pontchartrain grid.
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J.M. Smith et al. / Ocean Engineering 37 (2010) 37–47
45
Fig. 8. (a) Maximum wave heights Storm 53 for base case, southeast grid. (b) Maximum wave heights Storm 53 for 1 m RSLR, southeast grid. (c) Maximum wave heights for
1 m RSLR minus base case for Storm 53, southeast grid.
grid). The islands additionally dissipate energy through breaking,
and transmitted wave heights are on the order of 1 m for the base
case and 2 m for the 1 m RSLR case. In Barataria and Terrebonne
Bays, the wave heights are generally decreasing towards the
shoreline. In the base case, there is a small increase in wave height
in the center of Barataria Bay (peak period of 4 sec). In the 1 m
RSLR case, this same area is dominated by 8 s peak periods that
penetrate through and over the islands and suppress the local
growth. The differences in the peak wave heights between the
base and 1 m RSLR cases are shown in Fig. 9c (positive values
indicate increased wave height for the RSLR case). In the wetlands
fringing the bays and the West Bank, wave heights are 0.5–1.3 m
higher for the 1 m RSLR case (the surge in these areas was
0.5–2.0 m higher for the RSLR case). The wave height differences
are due to reduced breaking and frictional dissipation.
Wave directions generally were consistent between the base
and RSLR cases as shown in the figures. Although, differences in
refraction in very shallow depths are expected. Wave periods were
also generally within 1 s, except in areas were significantly more
swell propagation over and around barriers or structures.
5. Conclusions
This study investigates the potential impact of RSLR on hurricane
storm surge from hypothetic hurricanes that produce approximately
100 yr water levels in southeastern Louisiana. RSLR in the region in
the next 50–100 yr is expected to be in the range of 0.5–1 m (although
these estimates are still open to a great deal of debate). RSLR will
strongly impact wetland vegetation in this micro-tidal environment.
The Manning n roughness values were modified to reflect the
evolution of marsh type with RSLR, as wetlands evolve from
freshwater marsh to brackish marsh to open water with increasing
water level. The bathymetry was not modified to reflect possible
erosion or accretion of sediments, but erosion is more likely in this
sediment starved region. Numerical surge and wave models were
used to simulate the hurricanes under the base case (no RSLR) and 0.5
and 1 m of RSLR. The trends shown in the simulations were similar:
In the peak-surge areas, the maximum surge generated under
the RSLR scenarios increased relatively linearly with RSLR.
Although, the surge values increased by as much as 0.5–1.0 m
in some simulations. The reason for the relatively linear
response is likely due to the large surge values in these areas
(5–7.5 m), so the RSLR was a smaller portion of the total surge
in these areas. Thus, the surge propagation and the interaction
with the bottom were not so significantly changed by RSLR.
But, certainly the additional of 0.5–1.0 m, in addition to RSLR, is
not insignificant in the design and construction of sea walls
and levees. In some areas the maximum surge is also limited
by the surrounding topography and levee heights.
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J.M. Smith et al. / Ocean Engineering 37 (2010) 37–47
Fig. 9. (a) Maximum wave heights Storm 53 for base case, south grid. (b) Maximum wave heights Storm 53 for 1 m RSLR, south grid. (c) Maximum wave heights for 1 m
RSLR minus base case for Storm 53, south grid.
In wetland or wetland-fronted areas of moderate peak surges
(2–3 m), the surge levels were increased by as much as 1–3 m
(above the RSLR) for the RSLR simulation. The water level
increases are as much as double and triple the RSLR over broad
areas and as much as five times the RSLR in isolated areas. The
areas most impacted are the West Bank and Lake Maurepas.
The deeper water depths (due to RSLR) and the degredation of
the wetlands (reduced Manning n values) appear to increase
the surge propagation speed and allow greater inundation.
Similar amplification of surge occurred in other wetland areas,
e.g., Lake Borgne and Lower Plaquemines Parish, but the
amplification factors were not as high. The loss of the cypress
canopy in the Lake Maurepas area also contributed to large
local variations in surge associated with RSLR.
Surge levels in Lake Pontchartrain also showed a consistent
increase over the RSLR (0.5 for 1 m RSLR). This is due to
gradients across the passes between Lake Borgne and Lake
Pontchartrain pushing more water into Pontchartrain. This also
contributes to higher water levels in Lake Maurepas.
The surge amplification patterns were very similar for 0.5 and
1 m of RSLR, but the relative impact of RSLR (surge increase
divided by RSLR) was greater for the 0.5 m RSLR.
Waves increase significantly in shallow areas due to the
combined increases in water depth due to RSLR and surge
increases. Maximum increases for the storm suite were
1–1.5 m. The main mechanism for increased wave energy is
reduction of depth-limited wave breaking, but reduced
frictional dissipation and increased wave growth also contribute. In areas of depth-limited wave breaking, increased
wave height is approximately linear with the change in total
depth (RSLR plus surge).
The major conclusion is that surge does not increase linearly
with RSLR. Linear addition of RSLR to design water levels is not
appropriate in this region. Although it appears that the peak surge
may increase modestly (0.5–1 m above the 0.5–1 m of RSLR),
regions of more modest surge (2–3 m) may see very significant
increases in surge (1–3 m above the 0.5–1 m RSLR). Thus, in a
statistical analysis of water levels, the long return period water
levels would increase modestly above the RSLR, but shorter return
period water levels could increase significantly. Surge propagation
over broad, shallow, wetland areas is highly sensitive to RSLR.
Waves also generally increased for all RSLR cases. These increases
were significant (0.5–1.5 m for 1 m RSLR), but less dramatic than
the surge increases. Smith et al. (2008), in a similar study where
Manning n values were not changed with RSLR, found similar
surge amplification results, indicating that the sensitivity to RSLR
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J.M. Smith et al. / Ocean Engineering 37 (2010) 37–47
is due primarily to the shallow water depths in the wetlands and
not the change in Manning n roughness values. As wetlands
deteriorate, it is likely that water depths will increase further and
RSLR will impact surge levels to an even greater extent, compared
to the base case estimates.
Acknowledgments
Permission to publish this paper was granted by the Office,
Chief of Engineers, US Army Corps of Engineers. This research was
conducted under the Wave Computations for Ecosystem Modeling
under the System-Wide Water Resources Research Program of the
Coastal and Hydraulics Laboratory, US Army Engineer Research
and Development Center.
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