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Effects of Woody Plants on Dune Erosion and Overwash
Nobuhisa Kobayashi, M.ASCE1; Christine Gralher
2; Kideok Do
3
Abstract: A laboratory experiment consisting of 5 tests was conducted to examine the effects of
woody plants on erosion and overwash of high and low dunes. Scarping occurred on the
foreslope for three high dune tests and no scarping occurred for two low dune tests. A narrow
vegetation zone on a steep backslope of a high dune did not reduce wave overtopping and
overwash in comparison to the corresponding bare dune. A wide vegetation covering the high
dune reduced foreslope scarping, prevented wave overtopping initially, and reduced sand
overwash after the initiation of wave overtopping. A wide vegetation zone covering an entire
low dune reduced dune erosion by retarding wave uprush and reducing wave overtopping and
overwash.
DOI: 10.1061/(ASCE)WW.
CE Database Subject Headings: Vegetation; Wave Overtopping; Dune; Erosion; Overwash;
Sediment Transport.
1 Professor and Director, Center for Applied Coastal Research, Univ. of Delaware, Newark, DE 19716
(corresponding author), E-mail: [email protected]. 2 Master’s student, Dept. of Civil and Environmental Engineering, Univ. of Delaware, Newark, DE 19716.
3 Ph.D. Student, Dept. of Civil and Environmental Engineering, Seoul National Univ., 1 Gwanak-ro, Gwanak-gu,
Seoul, 151-744, Republic of Korea.
2
Introduction
Approximately 3% of the U.S. population presently lives in areas subjected to the 1%
annual chance (100 yr) coastal flood (Crowell et al. 2010). This percentage will increase with
the rise of mean sea level even without any morphological change. The mean sea level rise will
increase the likelihood of shoreline erosion and dune overwash (Gutierrez et al. 2007). One
possible countermeasure to reduce the severity of dune overwash and flooding is the active
planting of vegetation (e.g., Rosati and Stone 2009). The field data by Hayashi et al. (2010)
indicated that woody plants on a natural dune appeared to have prevented overwash during a
severe storm. However, no predictive model exists to assess the effectiveness and limitation of
vegetation as the countermeasure against dune overwash.
Dune erosion and overwash have been investigated mostly by field data obtained after
storms (e.g., Wang et al. 2006). The field data do not reveal the progression of dune erosion and
overwash during a storm. Laboratory experiments were conducted to measure the dune profile
evolution (e.g., Figlus et al. 2011) but no accepted similitude exists for coastal sediment
transport. The effect of vegetation on overwash has been discussed (e.g., Donnelly et al. 2006)
but has never been measured. Grass and woody plants are described for dune stabilization
against windblown sand transport (e.g., U.S. Army Engineer Research and Development Center
2003) but have not been used against wave overtopping and overwash.
Wave attenuation by vegetation has been investigated in relation to prediction of waves
propagating across flooded, vegetated lands and for the possible use of natural or artificial kelp
in promoting beach accretion. Dalrymple et al. (1984) examined wave diffraction due to
localized areas of wave energy dissipation, such as dense stands of kelp, pile clusters, or
submerged trees. Asano et al. (1992), Kobayashi et al. (1993), and Méndez et al. (1999)
3
analyzed the wave-induced flow field in areas of fixed and flexible vegetation. Løvas and
Tørum (2001) conducted a laboratory experiment on wave propagation above submerged kelp in
the surf zone and its effect on dune erosion. The kelp caused significant wave attenuation but
had only a minor effect on the dune erosion. Mangrove forests were reported to have reduced
the damage by the 2004 Indian Ocean Tsunami (e.g., Asano 2008). The effect of coastal
marshes on nearshore waves has been investigated numerically and experimentally (Bender et al.
2008; Augustin et al. 2009) after Hurricane Katrina in 2005. The effect of coastal marshes on
storm surge was discussed by Resio and Westerink (2008). These studies indicate the varied
effects of vegetation on waves and storm surge. However, the effect of vegetation on wave
overtopping and overwash has not been investigated previously.
An experiment was performed in a wave flume to measure the profile evolutions of bare
and vegetated dunes in the presence of wave overtopping and overwash. Cylindrical wooden
dowels were used to represent woody plants that may reduce overtopping flow more than grass.
First, three high dune tests were conducted for a bare dune and two vegetated dunes with narrow
and wide vegetation zones. Second, two low dune tests were conducted for a bare dune and a
dune with a wide vegetation zone. The following sections present the experimental setup and
measurements, the three high dune tests, and the two low dune tests.
Experiment
The experiment was conducted in the wave tank of the University of Delaware which is
30 m long, 2.5 m wide and 1.5 m high. A dividing wall along the length of the middle of the
wave tank was installed to reduce the amount of fine sand, the water level change due to wave
overtopping, and seiching development in the wave tank. Fig. 1 depicts the experimental setup
4
in the 1.15-m wide flume which is similar to the dune overwash experiment by Figlus et al.
(2011). No nearshore bar was formed in this experiment. A piston-type wave maker in 1-m
water depth generates a 400-s burst of irregular wages corresponding to a TMA spectrum. The
wave maker has no capability of absorbing waves reflected from the dune. The spectral
significant wave height and peak period were approximately 19 cm and 2.6 s, respectively. The
sand beach placed on a plywood bottom with a slope of 1/30 consisted of well-sorted fine sand
with a median diameter of 0.18 mm. The placed sand was moistened and compacted before each
test. The measured specific gravity, porosity and fall velocity were 2.6, 0.4 and 2.0 cm/s. Eight
capitance wave gauges were installed for the measurement of the free surface elevation along the
wave tank. Three acoustic Doppler velocimeters (one 2D ADV and two Vectrinos) were used to
measure fluid velocities at an elevation of 1/3 of the local water depth above the bottom. A laser
line scanner mounted on a motorized cart was used to record alongshore transects at 2 cm cross-
shore intervals with an accuracy of ± 1 mm, yielding 3D bathymetry of the entire subaerial (after
lowering the water level) portion of the bed. An array of three submerged ultrasonic transducers
are used to record three cross-shore transects for the submerged portion of the bed.
Water and sand transported over the impermeable vertical wall in Fig. 1 during each
400-s run were collected in a basin. The elevation of the wall crest was 6 cm above the still
water level (SWL). A sand trap made from polyester fabric mesh retained grain diameters
exceeding 0.074 mm and allowed water to pass through. The trapped sand is analyzed to obtain
the water content and dry sand mass. The collection basin included a water recirculation system
consisting of a pump, a flow meter, pipes, and a valve to maintain a constant still water level in
the 2.5-m wide tank. The water volume change in the collection basin was measured using a
wave gauge (WG) 9 in Fig. 1 and a mechanical float to ensure data accuracy. This experimental
5
setup allowed the accurate measurement of the water overtopping rate and sand overwash rate
averaged over the 400-s run.
Table 1 summarizes the five tests conducted in sequence. Each test comprised a number
of runs of the same 400-s bursts of irregular waves impinging on a dune. The initial profile of
the high (H) and bare (B) dune is depicted in Fig. 1 where the crest elevation was 21 cm above
SWL and the foreslope and backslope of the dune were 1/2 and 1/3, respectively. HB test was
terminated after 6 runs when the dune crest was lowered to the elevation of the wall crest. The
high dune was rebuilt for two high dune tests with vegetation. Cylindrical wooden dowels were
used to represent woody plants. The diameter and length of each dowel were 0.9 cm and 30 cm,
respectively. Each dowel was placed vertically with a burial depth of 20 cm. The cross-shore
and alongshore spacings of the dowels were 4 cm and each dowel was in the center of the square
whose area was 16 cm2. The burial depth of each dowel was checked after each run and adjusted
to 20 cm at the beginning of all runs to avoid uprooting. The 10 cm height of the dowel above
the sand surface ensured the emergence of the dowel top above uprushing water. The cross-
shore distance of the vegetation zone from the vertical wall was 40 cm and 80 cm for the narrow
(N) and wide (W) vegetation, respectively. The dowels were aligned in the alongshore direction
so that the laser scanner could measure the alongshore transects at 1 cm cross-shore intervals in
the vegetation zone. Photos depicting the dowel arrangements were presented by Gralher et al.
(2012).
The high and narrowly vegetated dune for HN test was eroded to the level of the wall
crest after 6 runs. The high and widely vegetated dune for HW test was much more resilient and
terminated after 28 runs because of the alongshore variability of the scarped dune profile. Photos
of the scarped profiles were presented by Gralher et al. (2012). The dowels were removed after
6
HW test and the scarped dune profile was smoothed and made uniform alongshore to create the
initial profile of the low (L) and bare dune. The dune for LB test was eroded up to the vertical
wall after 3 runs. The low dune was rebuilt and the dowels were planted in the wide vegetation
zone. LW test was continued for 20 runs to examine the temporal variations of the wave
overtopping and overwash rates after the vertical wall was exposed to wave action.
For each run, the free surface elevation η above SWL was measured at WG1 – WG8
located at the onshore coordinate x = 0.0, 0.25, 0.95, 8.3, 12.9, 15.5, 17.1 and 18.6 m along the
centerline of the flume where the vertical wall was located at x = 19.9 m. The fluid velocities
were measured at x = 12.9, 15.5 and 17.1 m in the vicinity of the flume centerline. The
measured 400-s time series sampled at 20 Hz were reduced by removing the initial 20-s
transition period before the data analysis. The 380-s time series from WG1 – WG 3 were used to
separate incident and reflected waves at the location of WG1. The incident waves are
represented by the spectral significant wave height moH and peak period
pT as well as the
significant wave height sH and period
sT . The reflection coefficient R is defined as the ratio
between the values of moH for the reflected and incident waves. Table 2 lists the average value
of these wave parameters at 0x = for all the runs in each test. The value of R decreased
slightly with the decrease of the foreslope slope during each test.
The measurements for all the runs in the five tests were analyzed to examine the effects
of the vegetation on the dune and beach profile evolution, wave hydrodynamics, and overwash
for the high and low dune tests. Scarping and slumping occurred on the foreslope of the high
dune but no scarping occurred for the low dune. The vegetation effects on the dune profile
evolution may be separated into flow resistance and sand reinforcement attributable to the
exposed and buried parts of the dowels, respectively. The sand reinforcement effect by the
7
buried parts (idealized roots) of the dowels were observed to be negligible in the absence of
scarping.
High Dune Tests
The measured bottom elevations were averaged alongshore to obtain the beach and dune
profile as a function of x at time t with 0t = at the beginning of each test. The vertical
coordinate z is positive upward with 0z = at SWL. Each profile is identified by its run number
starting from run number 0 for the initial profile. The run number is affixed to the test name.
Fig. 2 shows the measured dune profiles for HB, HN and HW tests in the zone of x = 16 – 19.9
m of noticeable profile changes in front of the vertical wall. The sediment budget in this zone is
examined at the end of this section. The profiles seaward of x = 16 m did not change much
probably because a number of preliminary runs were conducted to optimize the experimental
setup for HB, HN and HW tests. Three thick lines are used in Fig. 2 to differentiate the initial,
intermediate, and final profiles in each test. The wave overtopping rate oq started to increase
rapidly after HB3 and HN3, whereas 0oq = up to HW20 and oq remained small until the end of
HW test which was terminated due to alongshore variability. The zone of the vegetation is
indicated in Fig. 2 for HN and HW tests. For HB and HN tests, the dune crest was lowered
initially by the seaward sand transport and foreslope scarping and subsequently by wave
overtopping and overwash over the vertical wall. The narrow vegetation on the steep backslope
did not reduce the backslope erosion caused by the overtopping flow. The wide vegetation
covering the entire dune protected the foreslope against direct wave attack and reduced dune
scarping. The backslope erosion caused by wave overtopping and overwash started after HW20
and progressed slowly because of the small oq during HW21 – HW28. It should be noted that
8
the profiles were not measured after runs 11-13, 15-16, 18-19, 21-22 and 24-25 in HW test
because of the slow profile evolution.
Fig. 3 shows the mean η and standard deviation ησ of the measured free surface
elevation η at the eight wave gauges for all the runs for HB, HN and HW tests. The measured
values of η were negative (wave setdown) at WG1 – WG3 outside the surf zone and WG4 near
the breaker zone. The values of η were positive (wave setup) at WG5 – WG 7 in the inner surf
zone and at WG8 in the swash zone where the averaging for WG8 buried partially in the sand
was performed for the wet duration only. The decrease of η at WG8 during each test was
caused by the decrease of the bottom elevation associated with the berm erosion in Fig. 2. The
standard deviation ησ is proportional to the spectral significant wave height 4moH ησ= . The
measured values of ησ varied little from WG1 to WG4 and decreased in the surf and swash
zones. The values of ησ at WG8 increased during each test because the berm erosion lowered
the bottom elevation. The wet probability wP is defined as the ratio between the wet and total
durations where 1.0wP = at WG1 – WG7 and wP at WG8 was approximately 0.9 initially and
increased to 1.0 after the berm erosion. Fig. 3 indicates that the wave conditions at WG1 – WG7
varied little during each test because the bottom elevation change in the zone of x = 0.0 – 17.1 m
was small.
The mean u and standard deviation uσ of the measured cross-shore velocity u in the
inner surf zone ( x = 12.9 – 17.1 m) did not change much during each test. Table 3 lists the
average value of u and uσ for all the runs in each test. The measured values of u were negative
and the undertow current decreased from x = 12.9 m to x = 15.5 m before its increase at x =
9
17.1 m where some broken waves in the inner surf zone broke again on the steeper bottom slope
(see Fig. 2). The standard deviation uσ varied little between x = 12.9 – 15.5 m and increased at
x =17.1 m probably because of the increased wave breaking on the steeper bottom slope. It is
noted that the measured alongshore and vertical velocities were small in comparison to the cross-
shore velocities in this experiment.
Fig. 4 shows the temporal variations of the measured wave (water) overtopping rate oq ,
sand overwash rate bsq , and ratio /bs oq q for HB, HN, and HW tests. The ratio represents the
volumetric sand concentration in the overtopping flow over the vertical wall. The measured
rates are plotted at time t corresponding to the middle of each run. HB and HN tests were
terminated when oq and
bsq reached the upper limit of approximately 18 cm2/s and 0.5 cm
2/s,
respectively, in the previous experiment by Figlus et al. (2011). The upper limit occurred when
the dune crest was at the same elevation as the vertical wall crest as shown in Fig. 2. The narrow
vegetation on the steep backslope did not reduce oq and
bsq at all. As for HW test, wave
overtopping and overwash did not occur until HW21 ( t = 8,000 – 8,400 s) and qbs/qo = 0 is
plotted for qo = 0 and qbs = 0. The measured rates after HW21 increased slowly and oq = 2.7
cm2/s and
bsq = 0.1 cm2/s for HW28. The wide vegetation was very effective in reducing
oq
and bsq . The vegetation on the foreslope appeared to have retarded wave uprush on the upward
slope. The ratio /bs oq q was almost 0.2 at the beginning of wave overtopping and overwash,
possibly because loose sand particles on the surface were transported at the beginning. The ratio
decreased at a slower rate for HW test with the progression of wave overtopping and overwash.
The vegetation may have generated additional turbulence and increased the sand concentration.
10
The sediment budget in the zone of x = 16 – 19.9 m is examined using the measured
profiles shown in Fig. 2. The volume change ( )cV t per unit alongshore length is obtained by
computing the area change of the measured profile at time t from the initial profile at 0t = and
cV is positive for erosion. The temporal variation of cV is presented in the top panel of Fig. 5 for
HB, HN, and HW tests. The sand volume ( )oV t per unit alongshore length associated with
overwash is obtained by integrating the sand overwash rate bsq from 0t = to time t at the end of
each run where the sand porosity of 0.4 is included in oV for the comparison of
cV and oV . The
overwash volume oV is plotted in the bottom panel of Fig. 5. The value of
oV is zero or positive
and for HW test, 0oV = for t = 0 – 8,000 s. The sand volume transported offshore from the zone
of x = 16 – 19.9 m is the offshore loss LV given by ( )L c o
V V V= − . The sand transported
offshore from x = 16 m was deposited in the zone of x = 0 – 16 m. The accurate measurement
of this deposited sand volume was not possible because of the error of about 1 mm for the
bottom elevation measurement. For example, the vertical elevation difference of 1 mm over the
horizontal distance of 16 m corresponds to 160 cm3/cm. It was more accurate to estimate
LV
using the measured values of cV and
oV along with the conservation of sand volume.
The small negative (deposition) values of ( )c o LV V V= + in Fig. 5 occurred when the
onshore sand transport volume ( )0L
V < at x = 16 m exceeded the small overwash volume oV .
The large positive values of cV and
oV occurred at the same time and the large sand overwash
volume resulted in the large erosion volume in the zone of x = 16 – 19.9 m. The ratio /o cV V was
0.63, 0.79 and 0.17 at the end of HB, HN, and HW tests, respectively. The majority of the dune
erosion for HB and HN tests was caused by sand overwash over the vertical wall. The wide
11
vegetation reduced the wave overtopping and overwash rates but increased the offshore sand
loss. This increased offshore loss may be related to the increased offshore return flow resulting
from the decreased wave overtopping rate. The measured undertow current at x = 17.1 m was
somewhat larger for HW test as listed in Table 3. Nevertheless, the sediment dynamics on the
vegetated dune is not clear for lack of depth and velocity measurements in the vegetation zone.
Low Dune Tests
Fig. 6 shows the measured dune profiles for LB and LW tests where no scarping occurred
in these tests. Thick lines are used for LB0, LB2, and LB3 as well as LW0, LW10, and LW20 in
order to indicate the sequence of the profile evolution. The low dune crest in LB test retreated to
the vertical wall after 3 runs. The vegetated dune in LW test was eroded slowly and exposed to
20 runs where the measured profiles after LW1, LW14-15, and LW18 were unreliable and
excluded in Fig. 6. The vegetation zone for HW test was located landward of the still water
shoreline in Fig. 2. The vegetation zone for LW test became exposed to broken waves in the
inner surf zone as the still water shoreline moved landward during LW test. A small hump
associated with local scour was formed at the seaward edge of the vegetation zone. The vertical
wall was exposed to direct wave action toward the end of LW test.
Fig. 7 shows the mean η and standard deviation ησ of the free surface elevation at WG1
– WG8 for all the runs for LB and LW tests. The wet probability at WG8 was unity because its
location x = 18.6 m was seaward of the still water shoreline from the beginning of LB and LW
tests. The cross-shore variations of η and ησ from WG1 to WG7 were very similar to those in
Fig. 3 because the incident waves and the bottom profile in the zone of x = 0 – 17.1 m were
almost the same for the five tests. The decrease of η and the increase of ησ at WG8 with the
12
progression of LB and LW tests were smaller in Fig. 7 because the vertical erosion at WG8 was
smaller for these tests. The mean u and standard deviation uσ of the measured horizontal
velocity listed in Table 3 were also similar except for u and uσ at x = 17.1 m for HW test with
28 runs of no or little wave overtopping.
Fig. 8 shows the temporal variations of oq ,
bsq and /bs oq q for LB and LW tests. The
wide vegetation reduced oq and
bsq by a factor of about 3 and 2, respectively. The wave
overtopping rate oq remained almost constant throughout LW test. The wide vegetation was
effective in reducing oq even after its seaward segment was situated in the inner surf zone. In
reality, woody plants could be destroyed by the wave force or uprooted due to erosion. These
factors were not considered in the present experiment. The sand overwash rate bsq decreased
with the progression of erosion in front of the vertical wall possibly because of the reduced
availability of sand in the overtopping flow. The ratio /bs oq q was larger for LW test probably
because of the increased turbulence in the vegetation zone. The temporal trends in Fig. 8 follow
those in Fig. 4 because LB and LW tests were essentially the continuation of HB and HW tests,
respectively.
Fig. 9 shows the temporal variations of cV and
oV for LB and LW tests. The volume
change cV per unit alongshore length in the zone of x = 16 – 19.9 m increased almost linearly
with time. The rate of increase of this erosion volume was larger for LB test because of the
larger overwash rate bsq in Fig. 8. The cumulative overwash volume
oV attributable to bsq
increased with time but the rate of increase of oV for LW test decreased with time because of the
temporal decrease of bsq for LW test. Erosion in front of the vertical wall was caused mostly by
13
wave overtopping and overwash. The ratios of /o cV V at the end of LB and LW tests were 0.82
and 0.73, respectively. In short, the wide vegetation reduced the wave overtopping and
overwash rates and the volumetric erosion rate in front of the vertical wall. The results of the
low dune tests were influenced by the vertical wall. Additional tests are required for low dunes
without scarping in the absence of the vertical wall.
Conclusions
A laboratory experiment consisting of 5 tests was conducted to examine the effects of
woody plants on dune erosion and overwash. Three tests for a high dune examined the
vegetation effects on erosion and scarping on the foreslope as well as wave overtopping and
overwash on the backslope. The narrow vegetation on the steep backslope did not reduce the
measured wave overtopping and overwash rates. The wide vegetation covering the foreslope and
backslope reduced scarping, prevented wave overtopping initially, and reduced the overtopping
and overwash rates after the initiation of wave overtopping. However, the reduced wave
overtopping resulted in the increase of offshore sand transport from the eroded dune. Two tests
for a low dune examined the vegetation effects in the absence of foreslope scarping. The wide
vegetation covering the entire low dune reduced the dune erosion by decreasing the wave
overtopping and overwash rates. The vegetation retarded wave uprush on the upward slope in
the swash and inner surf zones but increased the sand mobilization in the vegetation zone.
The experimental results may be useful in designing a vegetation zone to reduce dune
overwash. However, additional tests are required because the present experiment was limited to
the specific diameter, height, spacing, alignment, and burial depth of rigid wooden dowels
without uprooting. A large-scale experiment will also be necessary to quantify scale effects in
14
the present small-scale experiment. Depth and velocity measurements in the vegetation zone
will be required to elucidate the interaction processes among waves, vegetation and sand.
Nevertheless, the present experimental results will be useful for the initial development of a
numerical model for vegetated dune overwash.
Acknowledgments
This study was supported partly by the EU THESEUS Project and the U.S. Army Corps
of Engineers Coastal and Hydraulics Laboratory under Contract No. W912HZ-11-P-0173. The
third writer was supported by the Basic Research Program (400-20100155) of the National
Research Foundation, Ministry of Education, Science and Technology of Republic of Korea.
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Løvas, S.M., and Tørum, A. (2001). “Effect of the kelp Laminaria hyperborean upon sand
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Méndez, F., and Losada, I.J., and Losada, M.A. (1999). “Hydrodynamics induced by wind
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Resio, D.T., and Westerink, J.J. (2008). “Modeling the physics of storm surges.” Physics
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17
List of Figures
Fig. 1. Experimental setup for high bare dune test.
Fig. 2. Dune profile evolution for HB (top), HN (middle), and HW (bottom) tests.
Fig. 3. Cross-shore variations of mean (top) and standard deviation (middle) of free surface
elevation η and wet probability wP (bottom) for HB (left), HN (middle), and HW
(right) tests.
Fig 4. Temporal variations of wave overtopping rate oq (top), sand overwash rate
bsq
(middle), and ratio /bs oq q (bottom) for HB, HN, and HW tests.
Fig. 5. Temporal variations of cumulative sand volume change cV (top) and overwash volume
oV (bottom) per unit width for HB, HN, and HW tests.
Fig. 6. Dune profile evolution for LB (top) and LW (bottom) tests.
Fig. 7. Cross-shore variations of η (top) and ησ (middle) for LB (left), and LW (right) tests.
Fig. 8. Temporal variations of oq (top),
bsq (middle) and ratio /bs oq q (bottom) for LB and
LW tests.
Fig. 9. Temporal variations of cV (top) and
oV (bottom) for LB and LW tests.
18
Table 1. Summary of Five Dune Tests
Test Dune Vegetation Number of Runs Duration (s)
HB
HN
HW
LB
LW
High
High
High
Low
Low
Bare
Narrow
Wide
Bare
Wide
6
6
28
3
20
2,400
2,400
11,200
1,200
8,000
19
Table 2. Incident Wave Characteristics at 0x = for Five Tests
Test moH
(cm)
sH
(cm)
pT
(s)
sT
(s)
R
HB
HN
HW
LB
LW
18.6
18.7
18.5
18.3
18.8
18.3
18.4
18.3
18.0
18.6
2.65
2.57
2.57
2.57
2.57
2.27
2.29
2.29
2.30
2.30
0.16
0.16
0.15
0.11
0.11
20
Table 3. Mean and Standard Deviation of Horizontal Velocity u
Test
x = 12.9 (m) x = 15.5 (m) x = 17.1 (m)
u
(cm/s)
uσ
(cm/s)
u
(cm/s)
uσ
(cm/s)
u
(cm/s)
uσ
(cm/s)
HB
HN
HW
LB
LW
- 5.0
- 5.2
- 5.2
- 4.7
- 5.4
17.4
18.2
17.5
16.7
16.9
- 3.3
- 4.3
- 4.0
- 3.4
- 3.5
17.0
18.1
17.8
16.8
17.0
- 4.1
- 4.5
- 5.2
- 4.0
- 4.4
20.1
20.4
22.0
20.2
19.9
SWL
collectionbasin
sandtrap
returnflow
1 m
ADVimpermeablevertical wall
motorizedcart
laser linescanner
-3 0 5 10 15 20 m
Vectrino
−0.2
−0.1
0
0.1
0.2 HB0
HB3
HB6
−0.2
−0.1
0
0.1
0.2
Ele
vation
(m) HN0
HN3
HN6
16 17 18 19 20−0.2
−0.1
0
0.1
0.2
x (m)
HW0
HW20
HW28
SWL
SWL
SWL
vegetation
vegetation
−1
0
1
2
3
4
5
η(c
m)
1
2
3
4
5
ση
(cm
)
0 5 10 15 200.8
1
Pw
0 5 10 15 20x (m)
0 5 10 15 20
HB HN HW
0
5
10
15
20
qo
(cm
2
s) HB
HNHW
0
0.2
0.4
0.6
qbs
(cm
2
s)
200 2400 4600 6800 9000 112000
0.05
0.1
0.15
0.2
qbs/qo
t (s)
−400
0
400
800
1200
Vc
(cm
3
cm
)
HBHNHW
400 3100 5800 8500 112000
200
400
600
800
1000
Vo
(cm
3
cm
)
t (s)
−0.2
−0.1
0
0.1
Ele
vation
(m)
LB0
LB2
LB3
16 17 18 19 20
−0.2
−0.1
0
0.1
x (m)
LW0
LW10
LW20
SWL
SWL
vegetation
−1
0
1
η(c
m)
0 5 10 15 202
3
4
5
ση
(cm
)
x (m)0 5 10 15 20
LB LW
0
4
8
12
16
20
qo
(cm
2
s)
LBLW
0
0.1
0.2
0.3
0.4
qbs
(cm
2
s)
200 1800 3400 5000 6600 80000
0.01
0.02
0.03
0.04
qbs/qo
t (s)
0
350
700
1050
1400
Vc
(cm
3
cm
)
LBLW
400 2000 4000 6000 80000
200
400
600
800
1000
Vo
(cm
3
cm
)
t (s)