Current Research Experimental and numerical modeling of flow in a levee breach Experiments and...

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Current Research

• Experimental and numerical modeling of flow in a levee breach

• Experiments and simulation of sandbag motion at a levee breach

• Measurement and simulation of dam break flows

• Experimental study of erosion due to levee overtopping

Graduate students: S. Yusuf, M. Elkholy, C. Riahi-Nezhad, L. Larocque, J. Feliciano, L. Alva-Solari

Experimental and numerical modeling of flow in a levee breach

Objectives

• To obtain detailed 3-D flow field from measurements in a model levee breach

• To measure flow field around submerged structures

• To simulate complex 3-D flow field in a levee breach and a flooded urban area using the VOF model

Breach Dimensions

465 ft

200 ft

45 ftS

W

N

E

Source: IPET Report 2, https://ipet.wes.army.mil

Physical Model

Scale 1:50 (model: real-life system/prototype)

Model Prototype

Breach width 9.3 feet 465 feet

Canal width 4 feet 200 feet

Flooded area 140 Sq. Ft 8 acres

Flow

Physical Model Layout

900 GPM

Model Scale 1:50

Flow

Model Scale 1:50

Aerial View of the Physical Model

Sampling rate (HZ) …………………..……. 0.1 to 50Sampling Volume (CC) ………………..…. 0.09Dist. To sampling volume (cm) ……….. 5Resolution (cm/s) ….………………………. 0.01Prog. Velocity range (cm/s) ………..….. 3, 10, 30, 100, 250Accuracy ………………………………………… 1% of measured velocity, 0.25 cm/sMaximum depth (m) ………………………. 60

ADV

Source: http://www.sontek.com/download/brochure/adv.pdf

Velocity measured using 16 MHZ SonTek MicroADV

UVP

An Ultrasonic Velocity Profiler (UVP) transducer transmits a short emission of ultrasound, which travels along the measurement axis. When the ultrasonic pulse hits a small particle in the liquid, part of it scatters on the particle and echoes back.

Figure 1: This diagram explains the process of data collection by the UVP. The UVP is placed at an angle and reflection of the particles and from the bottom creates a velocity profile.

Measurements (X7,Y4) and (X7,Y5)

(X7, Y4) (X7, Y5)

These plots show the velocity in the x direction.

Vx Vx

Velocity Distribution (X7,Y4) and (X7,Y5)

0 10 20 30 40 50 600

2

4

6

8

10

12

Velocity (cm/s)De

pth

(cm

)

0 10 20 30 40 50 600

2

4

6

8

10

12

Velocity (cm/s)

Wat

er D

epth

(cm

)

Measurement (X24,Y9) and (X24,Y13)

-10 0 10 20 30 40 50 60 700

5

10

15

Velocity Y-dir(cm/s)

Dep

th (

cm)

X24-Y9

UVP

ADV

-5 0 5 10 15 20 25 30 35 40 45 500

5

10

15

Velocity X-dir(cm/s)

Dep

th(c

m)

X24-Y9

UVP

ADV

0 5 10 15 20 25 30 35 40 45 500

5

10

15

Velocity Y-dir(cm/s)

Dep

th (cm

)

X24-Y13

UVP

ADV

0 5 10 15 20 25 30 35 40 45 500

5

10

15

Velocity X-dir(cm/s)

Dep

th(c

m)

X24-Y13

UVP

ADV

Velocity Profiles for X24-Y9 and X24-Y13

Breach Geometry in Gambit 2.4.6

Inlet (Blue)Outlet (Red)Houses (solid Blocks)Arrows shows the direction of flow

Mathematical ModelGeneral

• Ansys Fluent 6.3.26 used for modeling of levee breach flows

• Solver: Pressure based

• Multiphase model: VOF (Implicit scheme)

• Turbulence model: k-epsilon

Grid specification• Boundary layer : meshed at the bottom of the channel

• Grid: hexahedral with size = 2 cm

Plane X-24 (Gray color)

Velocity at 0.12 m from the Bottom

Ongoing and Future Research

• Flow measurements around model buildings using UVP

• Comparison of computed and measured velocity distributions

• Characterization of turbulence over irregular topography

• Inclusion of erosion and deposition of channel bottom and sides

Methods for the closure of 17th Street Levee Breach

Tracking Sand Bag Motion in a Levee Breach using DPTV

Technique

Objectives• Developing a visual technique for tracking the motion of the sand bags and

plotting their trajectories.

• Determining the three-dimensional velocity components of the sand bags.

• Formulating relationships between the sand bag size and shape and flow

parameters.

• Determining optimum sand bag size, and more efficient procedures for

levee closure.

Trials for breach closure

Source: http://www.usace.army.mil/katrina-images/NO-A-09-04-05_0072.jpg

Katrina Model

Flow2.83 m

1.22 m

3.05 m

Recording deviceSpecification GRAS-03K2M/C

Maximum resolution 640(H) x 480(v)

Pixel size 7.4 m x 7.4 m

Maximum Frame rate 200 Fps

Shutter speed 0.02 ms to 10s

Transfer rate 100 Mbit/s

Area coveredat distance of

1.0 m

370 x 270mm2

Angle of view 22 16 27

The Model Sand bags

Plan view

Elevation

14.5 25.4 36.3 54.4 108.8

21.8 26.3 29.6 33.9 42.8

4,000 7,000 10,000 15,000 30,000

Weight (gm)

Equivalent Dia. (mm)

Equivalent prototype weight (Ib)

1:50

3-D Stereoscopic System

Image Plane

Lens Plane

Water surface

Cam

era-

axis

2

f

d

zx

dz

dx

o

a

a1o1 o2 a2x1 x2

x1 x2

SCa

mer

a-ax

is1

Centroiding

Testing of extraction of sandbag in stationary flow

After Extraction

x x xU/S Levee D/S Levee

Bed Elevation Contour Map for the Katrina Model

Ditch

xx

Canal

9.70 – 16.1

16.1 – 19.1

19.1 – 22.3

22.3 – 25.7

cm

Datum: Top of the U/S levee

1 2 3 4 5

Tracking Sandbag using DPTV

Trajectories of 10,000 Ib sandbag at different locations

(Plan view)

1

2 43

5

Trajectories of 10,000 Ib sandbag (vertical direction)

Time (sec)

Location (3)

Time (sec)

Location (1)

Ongoing and Future Research

• Understanding the general mechanics of sand

bag motion.

• Formulating relationships between the sand

bag size and shape and flow parameters.

• Determining the optimum size of sand bags

and procedures for levee breach closure.

Experimental and Numerical Investigations of Dam-Break

Flows

Objectives• To measure the instantaneous velocity over time for a dam break experiment.

using an Ultrasonic Velocity Profiler (UVP)

• To conduct LES simulation of a dam break wave.

• To compare the measured and simulated flow field

Figure: Experimental dam break set up. Notice the left hand side of the dam is filled with water up to 25 cm.

• Flume: 7.67 m long, 25 cm deep, 18 cm wide, and 3.5% slope.• UVP placed at 45 deg. (schematics shown below). • UVP start measuring velocity as dam is lifted

Experimental Set up

UVP Probe

UVP probe facing upward to determine water level over time

UVP Probe

UVP probe facing downward to find the velocity profile at the bottom of a dam break wave

Experiment 1 Experiment 2

• A numerical grid with two separate volumes (water and air) was generated using Gambit, a grid generating program.

• The numerical simulation was conducted using FLUENT. • Large Eddy Simulation (LES) and Volume of fluid (VOF) models

were used.

Numerical Set-up

The grid used in the numerical simulation. The blue grid indicates the water and the other portion is the air at the initial location.

Volume: WATERVolume: AIR

Experimental Results• The UVP continuously measures the velocity over time and generates a

velocity profile at a specified time step.• Multiple trials were conducted to compare the repeatability of the

experiment.

0 10 20 30 40 50 60 70 80 90 100

5

10

15

20

25

30

35

40

45

50

55

Velocity (mm/s)

Dis

tanc

e to

flu

me

bed

(mm

)

Velocity Profiles Repeatability (1.0s)

trial 1

trial2

This graph shows the velocity profile measured using a UVP. The two lines represent two separate trials of the experiment.

T=1.0s

Comparison • A comparison between the numerical simulation and the

experiment velocity profile on the upstream side of the dam break

• Additional measurements throughout the model• Experimental measurements of flow field including

erosion and deposition following dam failure.• Simulation of flow field following dam failure

including erosion and deposition of bottom material

Ongoing and Future Research

Objectives

• To understand and identify the parameters that govern the erosion and headcut formation during the overtopping of a levee.

• To conduct laboratory experiments overtopping small-scale dikes in a flume.

• To collect and evaluate the data and improve/modify breach models.

Dike and Flume Dimensions

DIKE DIMENSIONS

Height 0.22 m

Top 0.09 m

Side slope 2H:1V

FLUME DIMENSIONS

Length 6.5 m

Width 0.46 m

Height 0.26 m

Material D50 Specific Gravity LL PL

Sand 30 400 μm 2.69 --- ---

Kaolin 0.6 μm 2.59 81.1% 33.6%

Silt 106 22 μm 2.65 --- ---

Silt 250 49 μm 2.65 --- ---

Material

Soil Composition

No SOIL BX30 Kaolin Silt 106

Silt 250 γd ωo

No Passes with Roll

Flow Rate (L/s)

Exp 1 Soil 1 85% 15% --- --- 113 lb/ft3 12% 10 0.24

Exp 2 Soil 2 70% 15% 15% --- 126 lb/ft3 10% 15 0.24

Exp 3 Soil 3 80% 10% 10% --- 126 lb/ft3 10% 18 0.24

Exp 4 Soil 4 --- 10% 72% 18% 108 lb/ft3 13.5% 15 3.9

Compaction

DATA

Weight of the roll

20.5 Kg

Soil Layer Thickness

0.05 m

No Passes per Layer

10, 15, 18

Compaction obtained

80% to 95% of γd

Instrumentation

Description QuantityWater level gauge downstream 01Water level gauge upstream 01Video cameras 04UVP sensor for velocity measurement (being implemented)

04

Data acquisition (being implemented) 01Weir 01Timer 01

Instrumentation

UVP Sensor Upstream

UVP Sensor Downstream

Top Video Camera

Front Video Camera

Video Camera

Data Acquisition

Levee Breach Experiments 1, 2 & 3

1

2

3

EROSION ON THE DOWN STREAM FACE

OF THE DIKE

HEADCUT

HEADCUT UNDERMININGRESERVOIR

FLOW

FLOW

FLOW

MAIN ELEMENTS OF THE PROCESS:- SOIL PROPERTIES- GEOMETRY- FLOW CHARACTERISTICS

Headcut Experiment 4

FRONT VIEW

TOP VIEW

0.02 m

0.02 m

1.5H:1V

HEADCUT GEOMETRY

Headcut Experiment 4 (Front View)

30s0s 1’

2’ 2’30” 2’52”

2’53” 3’ 4’

Headcut Experiment 4 (Top View)

1 2

3 4

5 6

Hydrograph for Headcut Experiment

Ongoing and Future Work

a. Systematically vary non-dimensional numbers involving soil properties, levee geometry and flow properties in experiments.

b. Understand and evaluate the scale effect.c. Focus on the effect of cohesion on the breach

process.d. Conduct experiments at larger scales.

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