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European Journal of Applied Sciences – Vol. 12, No. 4

Publication Date: August 25, 2024

DOI:10.14738/aivp.124.17312.

Lotero, S. S., Bloetscher, F., Hoque, M., Liu, W., Meeroff, D. E., Mitsova, D., Nagarajan, S., Salazar, S., Su, H., Teegavarapu, R., Xie,

Z., Yong, Y., & Zhang, C. (2024). Incorporating Flood Inundation to Flood Risk Modeling. European Journal of Applied Sciences,

Vol - 12(4). 241-259.

Services for Science and Education – United Kingdom

Incorporating Flood Inundation to Flood Risk Modeling

Stephanya Salazar Lotero

Florida Atlantic University

Frederick Bloetscher

Florida Atlantic University

Mushfiqul Hoque

Florida Atlantic University

Wiebo Liu

Florida Atlantic University

Daniel E. Meeroff

Florida Atlantic University

D. Mitsova

Florida Atlantic University

S. Nagarajan

Florida Atlantic University

S. Salazar

Florida Atlantic University

Hongbo Su

Florida Atlantic University

Ramesh Teegavarapu

Florida Atlantic University

Zhixiao Xie

Florida Atlantic University

Yan Yong

Florida Atlantic University

Caiyun Zhang

Florida Atlantic University

ABSTRACT

Coastlines are particularly vulnerable to flood under multiple conditions,

including heavy precipitation, high sea levels and tropical storm surge. These

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conditions should be considered to assess and manage inundation with more

effectiveness. As a part of a larger research effort to develop a watershed level

screening tool to identify areas with potential for flooding, incorporating readily

available data on topography, ground, and surface water elevations, tidal data for

coastal communities, soils, and rainfall data. However, the most destructive

impacts are more likely to be from storm surge – moving waves of water that

inundate the coast. While SLOSH and other models can be used for this purpose,

this effort reviewed prior storms to determine the impact surge actually has on

coastal communities in South Florida. What was found was that in urban areas, a

wedge of surge waters could be created. Likewise, a wedge could be created for

natural areas, although natural area extension was double that of urban areas. The

wedge can be added to storm events, acting as inputs for Cascade 2001 software to

calculate the headwater height for probabilities of inundation.

Keywords: Storm surge, flooding, modeling, watershed

INTRODUCTION

Flooding is the most common and costly disaster in the United States (FEMA 2018). Among

the flood options is a nuisance flooding (small amounts in the street), tidal flooding (which

typically occurs during exceptionally high tides, causing seawater to spill onto land and

inundate low-lying areas until the tide recedes), rainfall events caused by heavy precipitation,

and storm surge and high waves during coastal storms (CDC, 2017). These events can occur

concurrently, creating major challenges for coastal resiliency. As a result, communities in

coastal areas are at risk of socio-economic and health impacts from increased coastal flooding.

Figure 1 shows the number of nuisance flooding events and the less frequent moderate and

significant floods that occurred in the 1950s as compared to the 2010s. Since the 1950s,

almost all the sites shown on the map have increased in the number of days per year with

floods.

According to NOAA, the U.S. experienced a record of 28 weather and climate disasters, as with

a total cost of at least $92.9 billion. The most recurrent disaster type was severe storm, with 19

events, followed by flooding, with four events. From a broader perspective, over the last 5-

years (2019-2023), an annual average of 20 billion-dollar disasters have occurred with an

annual average cost of $120.6 billion (NOAA NCEI, 2024). Worse, flood risks are growing in

most coastal regions in the U.S. and is expected to continue to grow.

On 28th September 2022, Hurricane Ian landed in southwestern Florida as a category 4

hurricane. At least 150 people died, and the area incurred over $112 billion in damages,

making it the costliest and third costliest in Florida and the United States, respectively, as

reported by the US National Hurricane Center. Figures 1-4 show examples of the damage

wrought by Hurricane Ian on Fort Myers Beach and adjacent Sanibel Island. Storm surge on

Sanibel Island reach a maximum of 16 feet per NAA records. Sanibel Island is a curved island

that is 1 mile wide at its widest off the coast of Fort Myers. The island’s 6400 people were left

without water, sewer and power, along with the loss of many structures.

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Lotero, S. S., Bloetscher, F., Hoque, M., Liu, W., Meeroff, D. E., Mitsova, D., Nagarajan, S., Salazar, S., Su, H., Teegavarapu, R., Xie, Z., Yong, Y., &

Zhang, C. (2024). Incorporating Flood Inundation to Flood Risk Modeling. European Journal of Applied Sciences, Vol - 12(4). 241-259.

URL: http://dx.doi.org/10.14738/aivp.124.17312

Figure 1: Frequency of Flooding Along U.S. Coasts, 2010-2015 Versus 1950-1959 (U.S. EPA,

2016)

Figure 2: Damage from Hurricane Ian storm surge

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European Journal of Applied Sciences (EJAS) Vol. 12, Issue 4, August-2024

Figure 3: Damage from Hurricane Ian

Figure 4: Damage from Hurricane Ian

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Lotero, S. S., Bloetscher, F., Hoque, M., Liu, W., Meeroff, D. E., Mitsova, D., Nagarajan, S., Salazar, S., Su, H., Teegavarapu, R., Xie, Z., Yong, Y., &

Zhang, C. (2024). Incorporating Flood Inundation to Flood Risk Modeling. European Journal of Applied Sciences, Vol - 12(4). 241-259.

URL: http://dx.doi.org/10.14738/aivp.124.17312

Figure 5: Damage from Hurricane Ian

Many factors are responsible for coastal flooding, such as development along the coast.

Another factor is climate change. Rising temperatures from climate change contribute to

increases in sea level, severe storms, and storm surge and change in precipitation patterns

(CDC, 2017). All these changes increase the risks associated with flooding.

Figure 6: Past and project sea level rise in southeast Florida (Bloetscher et al 2021)

-20

0

20

40

60

80

100

1900 1950 2000 2050 2100

Inches above NAVD88 Datum=0

Year

Key West Historic Virginia Key Historic

IPCC AR5 Median USACE High

NOAA High Linear (Key West Historic)

Linear (Virginia Key Historic)

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Lotero, S. S., Bloetscher, F., Hoque, M., Liu, W., Meeroff, D. E., Mitsova, D., Nagarajan, S., Salazar, S., Su, H., Teegavarapu, R., Xie, Z., Yong, Y., &

Zhang, C. (2024). Incorporating Flood Inundation to Flood Risk Modeling. European Journal of Applied Sciences, Vol - 12(4). 241-259.

URL: http://dx.doi.org/10.14738/aivp.124.17312

Figure 8: Vulnerability of Sea Level Rise Along the Coast (Carter et al., 2014)

These heavy precipitation events are already occurring more often in the U.S. due to our

warming climate. Figure 9 shows how the annual number of heavy downpours, defined as

extreme two-day precipitation events, for the contiguous United States has increased –

particularly between the 1950s and the 2000s (CDC,2017).

Figure 9: Change in Number of Extreme Precipitation Events (USGCRP, 2016)

Compounding sea level rise and increased precipitation, storm surge is an abnormal rise in

the water that is over and above the regular tide level. Storm surges are caused by wind,

waves, and low atmospheric pressure from severe storms, such as hurricanes. Storm surges

can be particularly damaging when they occur at the same time as the daily high tide. Storm

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surge is dependent on tides, movement of the storm, wind speeds, direction and a number of

other factors.

This research aims to add to the screening tool developed by Bloetscher, et al (2021) and

Zhang et al (2020), and builds upon more specific projects by Romah, (2012), Wood (2015)

and Rojas (2020).

METHODS

From Rojas (2020), a screening tool was introduced to assess the risk due to flooding in the

coastal communities using maps of open space, impervious area, and rainfall; a runoff model

after the 3-day 25 years storm was created (Figure 10). These flooding results were then used

to develop risk contours for flooding. However, these results are limited to the application of

sea level rise (from Romah, 2011 and Wood, 2015), plus the soil capacity derived by Rojas

(2020) and the application of rainfall to these scenarios via the South Florida Water

Management District’s Cascade 2001 modeling software.

Figure 10: Screening Tool for the Flood Risk

Storm Surge Modelling

Storm surge is one of the major natural hazards, which can cause damage to coastal

infrastructure and local environments. Because field measurement stations are often limited,

numerical modeling has often been used to study storm surge dynamics, coastal morphology,

and coastal hazard impacts (Irish et al., 2011; Vijayan et al.,2021). Verification of the models is

difficult due to the limited nature, and varying parameters associated with storm events and

the surges generated.

ADCIRC produces reliable results while simulating coastal storm surge, as shown by several

studies worldwide (Vijayan et al.,2021; Yin et al., 2017; Westerink et al., 2008; Lin et al., 2010;

Fritz et al. 2010). It simulates water levels and velocities by solving the coupled equations of

depth-integrated generalized wave continuity equation (GWCE) and two-dimensional depth- integrated (2DDI) momentum equations. These equations are solved by the finite element

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of storm surge considered. Several things were noted when the surge was compared to the

land use, noting virtually all these sites had relatively low, level, coastal topography,

consisting mainly of dune that may be developed:

• Storm surge can go 4 mile inland in areas with no coastal development,

• Storm surge can go 2 mi inland in low lying areas with limited development, and

• Storm surge goes about 1 mi inland in areas that are developed, noting most have

water internally so there is a bayside surge to contend with.

Figure 11: Storm Surge in Naples due the hurricane Irma

Figure 12: Storm Surge in Fort Myers due the hurricane Charley

Figure 13: Storm Surge in Naples due the hurricane Irma

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Lotero, S. S., Bloetscher, F., Hoque, M., Liu, W., Meeroff, D. E., Mitsova, D., Nagarajan, S., Salazar, S., Su, H., Teegavarapu, R., Xie, Z., Yong, Y., &

Zhang, C. (2024). Incorporating Flood Inundation to Flood Risk Modeling. European Journal of Applied Sciences, Vol - 12(4). 241-259.

URL: http://dx.doi.org/10.14738/aivp.124.17312

Figure 14: Storm Surge in Fort Myers due the hurricane Charley

Figure 15: Storm Surge in St. Augustine due the hurricane Mathew

Figure 16: Apalachicola due to Hurricane Mathew

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roadway on the island. City staff confirmed at 2-3 of water existed on all City streets was

Hurricane Ian went by.

Time of Concentration

After creating a surge wedge, ArcHydro tools were used to generate the drainage line and

drainage points for the basin. This was done to determine the flow direction and the longest

drainage path exiting the basin. Using the length of the longest drainage path, the time of

concentration was determined.

Generation of the Risk Maps

At this stage, Cascade 2001 was used to determine the flood risk. Cascade 2001 is a

hydrologic/hydraulic routing model developed by the South Florida Water Management

District that allows the analysis of multiple cascading basins connected by discharge

structures. The model is organized in five main windows – Project, Off-site Receiving Body,

Basin, Structure, and User-defined Rainfall Distribution – that allow access and incorporation

of the project's unique characteristics (South Florida Water Management District, 2001).

The "Project Window" includes information concerning the entire project, such as name,

reviewer, time step, iterations, print time step, time window, etc. The "Off-site Receiving Body

Window" specifies downstream boundary conditions for the basins, including receiving

bodies' hydrographs. The "Basin Window" allows the incorporation of the previously

discussed GIS information for each basin such as area, time of concentration, ground storage,

initial stage, stage-storage relationship, and rainfall characteristics. The "Structure Window"

supports three structures - gravity, pump station, and gated spillway - to connect the multiple

basins. Finally, the "User-defined Rainfall Distribution Window" allows the creation of custom

rainfall distributions, specifying the time and corresponding ratio of the cumulative rainfall

for the event (South Florida Water Management District, 2001). For example, for the larger

project, FAU ran analyses for a 3-day 25-year, 1 day 10 year and 1 day 100-year rainfall event.

The time of concentration, area in acres, topography, soil storage, and precipitation of each

basin is used as an input for Cascade 2001.

Using the same methodology, the headwater height was determined. After determining the

headwater height, a spatially-temporally quantified understanding of nuisance-destructive

flood potential in the area given observed values. “Risk”, then, is a function of compounding

geo-hydrological features, namely, SW, GW, tides, topography, and time of year. A GIS-based

algorithm and kriging spatial interpolation will produce layers of the greatest observable

hydrographic surfaces. These outputs can then be compared with high resolution topographic

model informed by LiDAR to develop digital elevation models that reflect the observed risk

landscape. These models can then be combined into CASCADE to produce vector and volume

information, in combination with soils, vegetation and percent impervious surfaces, allowing

the observed model outputs to be extrapolated into a more predictive context.

The uncertainties associated with the DEM vertical accuracy, estimated depths to

groundwater table, and the modeling approach itself are incorporated in the RMSE

computation. One can create a z-score surface from which to derive probabilities of

inundation:

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Figure 22: Groundwater and Surface water stations of the study area

Figure 23: Water Table elevation of the study area.

Figure 24: Soil storage capacity of the study area.