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Indian Journal of Geo Marine Sciences
Vol. 46 (07), July 2017, pp. 1307-1319
*Corresponding Author
Estimation of longshore sediment transport along Puducherry coast,
Eastcoast of India; based on empirical methods and surf zone model
P. Mohamed Rajab1*
& K. Thiruvenkatasamy2
Department of Harbor & Ocean Engineering, AMET University, 135, ECR Road, Kanathur, Chennai-603112, India
[ E.Mail: [email protected], [email protected]]
Received 28 September 2016 ; revised 28 November 2016
Measured waves at 15 m water depth off Puducherry coast were used to estimate the longshore sediment transport along the
Puducherry coast based on empirical methods and surf zone model. Comparison of longshore sediment showed that transport
rate estimates gave wide variation among the empirical methods and surf zone model. Transport rate estimates using CERC gave
higher (factor 2.5) and Kamphuis gave factor 1.5 when compared to VanRijn transport estimates. Estimated littoral drift using
surf zone model was close agreement with estimated littoral drift using VanRijn method. Estimated annual longshore sediment
transport based on surf zone model along the Puducherry coast show that the highest northerly transport occurred in the month of
May, followed by September, July, June and August. Highest southerly transport was observed in December followed by
November. Net monthly transport was northerly from March to October and southerly during the remaining months. Transport
rate was found to be low in February. Volume of annual gross transport was estimated as 0.40 x 106 m3/year and the volume of
annual net transport was 0.13 x 106 m3/year (towards north).
[Keywords: Littoral Drift, Sediment transport formulae, LITDRIFT Module, Surf zone model]
Introduction
Waves breaking in the surf zone near the coast
mobilize the sediments around the breaker line
and currents generated by waves transport
sediments along and across the coast. When there
is variation in the supply of sediments or
obstruction to sediment movement along the coast
imposed by coastal structures, the long-shore
sediment transport is the major process governing
the long-term changes in the shoreline. While
dealing with long term coastline changes and
planning mitigation measures to prevent adverse
impacts due to human interference, particularly
along coasts with high littoral transport, the
prediction of along shore sediment transport rate
becomes important. Existing empirical formulae
relates longshore sediment transport rate with
wave parameters at the breaker point, sediment
characteristics and the sea bed slope, and they are
based on data measured in the field. Frequently
used empirical formulae for longshore sand
transport computation are those of CERC (1984),
Kamphuis (1991) and VanRijn (2002). The
reliable field data sets are too small to evaluate the
predictive abilities of different formulae over the
full range of parameters. Hence the sensitivity
studies are carried out to assess the influence of
different parameters on the transport rate
estimates, and to understand the relative
performance of different empirical formulae.
In the present investigation, two approaches
were followed for the estimation of longshore
sediment transport rates, viz., i) Empirical method
(CERC, Kamphuis and VanRijn formulae) and ii)
Process-based method (surf zone model). Surf
zone model (DHI-LITDRIFT module) was used a
INDIAN J. MAR. SCI., VOL. 46, NO. 07, JULY 2017
Wave height (m)
Above 3.00
2.75 - 3.00
2.50 - 2.75
2.25 - 2.50
2.00 - 2.25
1.75 - 2.00
1.50 - 1.75
1.25 - 1.50
1.00 - 1.25
0.75 - 1.00
0.50 - 0.75
0.25 - 0.50
Below 0.25
N
Calm0.03 %
5 %
process based method for the estimation longshore
sediment transport along the Puducherry coast.
Materials and Methods
The data collected during December 2010 by
Institute for Ocean Management (IOM), Anna
University, and National Institute of Ocean
Technology (NIOT), Chennai, on bathymetry and
sediment quality have been used in this study.
Directional wave data measured at 15 m water
depth, southeast of Ariyankuppam village,
Puducherry (Latitude: 11.87°N and Longitude:
79.84°E), recorded at 3 hourly interval for a
period of one year from July 2007 to June 2008,
by Indian National Centre for Ocean Information
Services (INCOIS), Hyderabad, was compiled and
was used for the estimation of littoral drift along
the Puducherry coast.
The directional wave data, measured at 15 m
water depth, southeast of Ariyankuppam village,
Puducherry (latitude: 11.87o
N and longitude:
79.84o E), recorded at 3 hourly interval for a
period of one year from July 2007 to June 2008,
by Indian National Centre for Ocean Information
Services (INCOIS), Hyderabad, were analyzed,
and the results are presented1. Measured wave
characteristics at 15 m water depth have been
presented in the form of annual wave rose
diagram is shown in Figure 1. The measured
wave characteristics at 15 m water depth is
observed that significant wave height vary
between 0.2 m and 3.56 m, the peak wave periods
are between 2.5 sec and 19.1 sec and the wave
directions are between 36.6° and 179.1° w.r.t.
North. The monthly variation of measured wave is
presented in Table 1 and show that the average
significant wave heights vary from 0.56m to
0.65m from February to April, June and August
and vary from 0.76 m to 0.88m in May, July and
from to September to November and January, and
vary around 1.14 in December. Zero crossing
wave periods vary from 3.5 s to 9.9 s over the
whole year. Predominant wave direction prevails
around 115° during March and October, 120° to
150° in April to September, and 95° to 100° from
November to February1.
Figure 1. Annual rose diagram for measured waves at 15 m water depth
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RAJAB & THIRUVENKATASAMY : ESTIMATION OF LONGSHORE SEDIMENT TRANSPORT
Table 1. Monthly measured wave characteristics off Puducherry
Month
Significant wave height Hs (m) Zero crossing wave
period Tz (s)
Wave direction
w.r.t. North (Deg. N)
Min. Max. Mean Min. Max Mean Min. Max Mean
January 0.34 1.45 0.82 3.7 7.0 5.3 47.8 153.3 106º
February 0.35 1.09 0.62 3.7 7.0 4.7 75.9 149.1 104º
March 0.26 1.24 0.63 3.4 7.1 4.8 54.8 164.5 117º
April 0.30 1.19 0.56 3.5 8.1 4.9 60.5 175.8 130º
May 0.48 1.36 0.80 4.0 6.5 5.2 68.9 161.7 147º
June 0.11 1.14 0.62 3.4 7.6 4.9 73.1 174.4 136º
July 0.40 1.39 0.76 4.6 9.4 6.7 101.3 160.3 122º
August 0.34 1.45 0.65 4.2 9.2 6.3 95.6 165.9 126º
September 0.41 1.57 0.76 4.2 8.5 6.3 102.7 165.9 127º
October 0.30 1.64 0.70 3.9 9.2 6.3 54.8 158.6 117º
November 0.32 1.62 0.88 3.5 9.9 5.8 36.6 160.3 96º
December 0.48 2.97 1.14 4.2 7.2 5.6 61.9 129.4 100º
Empirical Methods
Existing empirical formulae relate longshore
sediment transport rate with wave parameters at
the breaker point, sediment characteristics and the
sea bed slope, and they are based on data
measured in the field. Frequently used empirical
formulae for longshore sand transport
computation are those of CERC (1984), Kamphuis
(1991) and VanRijn (2002).
CERC (1984) transport formula
Based on dimensional analysis, and it relates
the immersed weight, wimQ , of the longshore
sediment transport to longshore wave power
(wave energy flux), P, per unit length of the beach
as2,
wimQ = K P (1)
where wimQ includes both the bed load and the
suspended load transports, K is a non-dimensional
calibration coefficient, and P is given by,
brbrgbr cossinCEP (2)
in which,
E = 2
br,rmsHg8
1 = Average wave energy at
breaker line
Hrms,br = Root mean square (rms) wave height at
breaker line;
Cgbr = nbr Cbr = wave group velocity at breaker
line, the coefficient
nbr ≈ 1 at the breaker line;
Cbr = Wave phase speed at breaker line;
θbr = Wave angle (in degree) at breaker line
(between wave crest line and coastline or between
wave propagation direction and shore normal
direction).
Recommended value of the calibration coefficient
in the CERC formula is K = 0.772&3
. For the
Puducherry coast, the recommended value for K =
0.80 was used in study4. The capability of the
CERC formula is predicting the littoral transport
rates due to high waves that occur during stormy
conditions has not been tested extensively.
1309
INDIAN J. MAR. SCI., VOL. 46, NO. 07, JULY 2017
Kamphuis (1991) transport formula
CERC transport formula does not take into
account the particle size of the beach sand and the
beach slope. the influence of beach sediment size
and the beach slope on littoral transport studied by
Kamphuis and formula for volume transport rate
can be written as5,
6.0
br
2
sbr
25.0
50
75.05.1
p
s
2vol )2(sinHd)(tanT
))(p1(
KQ
(3)
where,
Tp - Peak wave period (s)
tan β - Beach slope
d50 - Median grain size (m) of sand in
the surf zone
θo and θbr - Wave angel at breaker line in
degrees.
Using field data, assuming the sediment density,
ρs = 2650 kg/m3, and the sea water density, ρ =
1030 kg/m3, the calibration coefficient has been
determined as, K2 = 2.33, a dimensional
coefficient in the SI system.
Both CERC and Kamphuis empirical formulae
have been calibrated with data sets corresponding
to mild wave conditions, and their predictive
abilities are not extensively tested for wave
conditions observed during storms (i.e. for wave
heights > 2.0 m). Input data for these empirical
formulae are mainly wave parameters at the
breaker point. If the wave parameters are
specified in deep water, they have to be
transformed to the breaker point. While
transforming the wave parameters from deep
water to the breaker point, often seabed contours
are assumed straight and parallel in the nearshore
region and small amplitude wave theory is used5.
Kamphuis formula, in addition requires d50 and the
beach slope in the nearshore region.
VanRijn (2002) transport formula
Van Rijn tested CERC and Kamphuis
formulae using a relatively small (seven) high-
quality data sets and observed that the estimates of
transport rates based on CERC formula are larger
(by factor 2) compared with measured values for
storm conditions, but much too large (by factor 5)
for low wave conditions. Van Rijn also observed
that the estimates of the Kamphius formula were
found to be 1.5 times smaller than the measured
values for storm conditions, but larger (by factor
3) for low wave conditions.
Van Rijn proposed an alternative longshore
transport rate (in kg/s, dry mass) formula as a
product of wave-related stirring and wave-driven
longshore current3&6
. That is,
w
5.2
brs3mass VHKQ
and br
5.0
brs4w 2sin)Hg(KV ,
where wV is the longshore current velocity in the
mid-surf zone due to breaking waves. This
approach provides the facility to include the
influence of wind and tide induced currents in the
longshore transport formula. Van Rijn has also
reported that, K4 ≈ 0.3. Influence of particle size,
wave period and beach shape on longshore
transport rate were studied3, and introduced their
influence by a set of correction coefficients in the
above formula. Including all these correction
coefficients, Van Rijn (2002) developed a formula
for longshore sediment transport rate, which reads
as3,
eff
5.2
brsslopegrainswell3mass VHKKKKQ (5)
where
massQ = Longshore sediment transport rate (in
kg/s, dry mass);
swellK = Correction coefficients for swell
grainK = Correction coefficients for particle size
slopeK = Correction coefficients for bed slope
swellK = (Tswell/Tref), for swell waves of height <
2m,
= 1, for wind waves. Reference wave
period Tref= 6 s;
grainK = (dref/d50), for d50 < 2 mm. Reference
particle size dref = 0.2 mm,
= 0.1, for d50 > 2 mm;
slopeK = (tan β/tan βref). Reference slope, tan βref
= 0.01. max,slopeK = 1.25,
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RAJAB & THIRUVENKATASAMY : ESTIMATION OF LONGSHORE SEDIMENT TRANSPORT
and min,slopeK = 0.75. The overall slope is
defined as the average slope between the
waterline and 8 m depth contour;
and
effV = Effective longshore velocity at mid
surf zone,
= 5.02
tide
2
wave ]VV[ ,
where )2(sin)Hg(KVbr
5.0
brs4wave is the
wave induced longshore velocity in mid surf
zone, and 4K ≈ 0.3. tideV is the tide induced
longshore velocity in mid surf zone, and tideV =
0, 0.1, 0.3 and 0.5 m/s for non tidal, micro-tidal,
meso-tidal and macro tidal conditions
respectively. In the absence of tides Van Rijn
reported that K3K4 ≈ 40 in Equation (5) predicts
longshore transport rate close to measured
values3.
Process based method – Surf zone model
Process-based methods consist of two major
parts, a wave model and a sediment transport
model.
The wave model includes, propagation,
shoaling and breaking of waves, computation of
the driving forces due to radiation stress,
momentum balance for the cross-shore and
longshore direction giving the wave setup and
the longshore current velocities. Based on this
formulation, there have been a number of
investigations on nearshore flow phenomena
such as wave set-up, set-down, longshore
current distribution, rip currents and nearshore
current field.
Waves approaching the coast are seldom
parallel to the shoreline, and these oblique
waves generate currents nearly parallel to the
shoreline close to the shore, called the longshore
current. This longshore current, which varies in
magnitude across this region, does not remain
parallel all along the coast due to variations in
the nearshore topography and the breaker height
along the coast. At certain locations along the
coast the longshore current turns seaward and is
referred to as the rip current. Offshore of the
breaker line, these rip currents diffuse and return
again to the surf zone to maintain the
conservation of mass. Longshore current with
rip current and the return flow form a two
dimensional flow pattern within and beyond the
surf zone, which is termed the nearshore wave
induced circulation.. These early studies are
based on principles of conservation of total mass
flux and total momentum flux or energy balance
through surf zone, and they estimate only the
average longshore current magnitude in the surf
zone5. In later investigations the depth averaged
equations of motion (continuity and momentum
equations) averaged over time are solved to
estimate the velocity distribution across the surf
zone. The different computational stages in the
hydrodynamic part of this method are,
i. Computation of the cross-shore
variation of wave height from the deep
water, up to the breaker point using the
small amplitude wave theory. In this
computation often the nearshore seabed
contours are assumed straight and
parallel;
ii. Computation of wave height distribution
after breaking using a surf zone model;
iii. Estimation of longshore current
distribution by solving depth averaged
momentum equations.
After computing the longshore current, the
longshore sediment transport rate that includes
bed load and suspended load transports, is
computed taking into account the local
conditions related to the energy dissipation, the
percentage of non-breaking waves and the rms
values of wave heights. This gives the
distribution of sediment transport across the
profile, which is integrated to obtain the total
longshore sediment transport rate. The annual
drift is evaluated from the contribution, iTiQ ,
of each of the incident wave occurring over the
year. Then the total annual drift Qan is
calculated as the sum of the contributions from
all incident waves7.
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INDIAN J. MAR. SCI., VOL. 46, NO. 07, JULY 2017
NS
1iiian TQQ
Where NS is the total number of incident waves
and iT is the time intervals at which the wave data
sets are specified.
In the present study, surf zone model (DHI-
LITDRIFT module) was used a process based
method for the estimation longshore sediment
transport along the Puducherry coast. The DHI-
LITPACK-LITDRIFT model suite is a convenient
tool for studying the coastal processes related
sediment transport in the wave breaking zone7.
MIKE 21 LITDRIFT is a deterministic
numerical model which consists of two major
parts, viz. i) a hydrodynamic model and ii) a
sediment transport model (STP) (Figure 2). The
hydrodynamic model includes propagation,
shoaling and breaking of waves, calculation of the
driving forces due to radiation stress gradients,
momentum balance for the cross-shore and
longshore direction giving the wave setup and the
longshore current velocities. Having computed the
longshore current by the hydrodynamic module,
points are selected across the coast, which are
representative for the littoral drift estimation. The
sediment transport calculations carried out by the
STP module are made to reflect the local
conditions with respect to the energy dissipation,
the percentage of non-breaking waves and the rms
values of wave heights7.
Total sediment transport is dominated by
transport contributions from areas where wave
breaking occurs. In case of a bar-profile, the
sediment calculation points will have to be located
on the bars where waves are breaking. This gives
the distribution of sediment transport across the
profile, which is integrated to obtain the total
longshore sediment transport rate. By considering
the variation in the hydrodynamic climate (e.g. the
yearly wind, wave, tide, storm surge and profile
conditions) it is possible to determine the net
gross littoral climate at a specific location. Annual
drift is evaluated by the contribution of transport
from each of the incident wave occurring over the
year. When calculating the annual drift, the wave
climate in LITDRIFT is described at specified
intervals in a time series file where each set of
items describes the characteristics of incident
waves. The duration of the wave incident is given
as a fraction of a year. The 3 hourly wave data off
Puducherry coast measured at 15 m depth are used
as input to the module.
Figure 2. Flow diagram for littoral drift estimation - surf
zone model
(Source: DHI-LITPACK manual, 2010)
The surf-zone model setup is shown in Figure 3.
The orientation of the profiles is taken as 105 deg.
N (shore normal off Puducherry coast). The grid
spacing, which on the basis of the length of the
profile is selected to be 10 meters. Following
inputs are given to the model7,
i) The cross-shore profile from the
measured bathymetry has been
incorporated in the model.
ii) The measured wave field at 15 m
water depth for the period of one year
is given as input to the model.
iii) The measured d50 =0.25 mm as
median size of nearshore seabed
sediments is used.
SEDIMENT
DATA
WAVE, WIND &
CURRENT DATA
BATHYMETRY
DATA
INCIDENT
WAVES
LONGSHORE CURRENT
TOTAL LITTORAL
DRIFT
STP
POINT SELECTION TO
TRANSPORT
CALCULATIONS
TRANSPORT ESTIMATION
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RAJAB & THIRUVENKATASAMY : ESTIMATION OF LONGSHORE SEDIMENT TRANSPORT
Figure 3. Model setup – LITPACK Module
Initial coastline
Baseline
Seawall
Breakwaters
Pile Jetty
Groins
Cross shore
profile
UTM X – AXIS (m)
UT
M Y
– A
XIS
(m
)
Sensitivity studies
Sensitivity studies on empirical formulae
Sensitivity studies are carried out to assess the
influence of different parameters on transport rate
estimates, and to understand the relative
performance of different empirical formulae. All
the empirical transport formulae are essentially
developed by relating the immersed weight of the
longshore transport rate to the longshore wave
energy flux, which is proportional to [Hs br2.5
sin
(2θbr)]. In CERC formula, the transport rate is
1313
INDIAN J. MAR. SCI., VOL. 46, NO. 07, JULY 2017
expressed as a function of wave height and wave
incident direction at the breaker point. In the other
two formulae, the transport rate is expressed as a
function of wave period, sediment particle size
and beach slope in surf zone, in addition to wave
height and direction at the breaker point. Typical
range of parameters normally encountered in
alongshore transport formulae are:
Wave height at the breaker point: 0.5 - 3 m
Wave direction at the breaker point: 0 - 25º
Wave period: 4 – 10 s
Sea bed slope, tan β: 0.01 – 0.1
Beach material size (fine sand to coarse sand)
0.1 – 1.0 mm
Transport rates estimated using three empirical
formulae for selected wave parameters (HB and θB
) are presented in Table 2. The variations of long
shore transport rate as a function of wave height
and wave angle at the breaker point are shown in
Figures 4a-4b. The beach slope = 0.019 and
median particle size = 0.25 mm observed at
Puducherry are used in these estimates. Figures
4a&4b shows the long shore transport rate as a
function of wave height and wave angle at the
breaker point. . From the Figures 4a and 4b, it
observed that that VanRijn estimates falls in
between CERC and Kamphuis estimates for
increase in breaker wave heights. And also CERC
and Kamphuis show higher estimate than VanRijn
estimates for low breaker wave heights. And also
it is observed that while increasing wave breaker
height and breaker angle, the longshore transport
rate increases significantly.
Sensitivity studies on empirical formulae & Process
based method (DHI-Litdrift model)
In the present study, using the DHI - LITDRIFT
model, a process based method, the longshore
sediment transport rates for a typical range of
offshore wave heights with offshore wave
direction, αo = 45° and wave period, T = 6 s are
estimated and compared with the predictions
based on CERC, Kamphuis and Van Rijn
empirical formulae.
Table 2. Transport rates estimated using three empirical
formulae
HB
(m)
H2.5 *
sin 2θB
Qt, CERC
(kg/s)
Qt, Kam
(kg/s)
Qt, Van
(kg/s)
Breaker wave angle θB =5° (Deg.N)
0.25 0.01 0.69 0.5 0.11
0.50 0.03 3.93 1.99 0.87
0.75 0.08 10.83 4.47 2.93
1.00 0.17 22.23 7.95 6.95
1.25 0.30 38.83 12.42 13.57
1.50 0.48 61.25 17.89 23.44
1.75 0.70 90.05 24.35 37.23
2.00 0.98 125.73 31.8 55.57
2.25 1.32 168.79 40.25 79.12
2.50 1.72 219.65 49.69 108.53
2.75 2.18 278.75 60.12 144.45
3.00 2.71 346.48 71.55 187.54
Breaker wave angle θB =1° (Deg.N)
0.25 0.001 0.14 0.19 0.02
0.50 0.006 0.79 0.76 0.17
0.75 0.017 2.18 1.71 0.59
1.00 0.035 4.47 3.04 1.40
1.25 0.061 7.80 4.74 2.73
1.50 0.096 12.31 6.83 4.71
1.75 0.141 18.10 9.29 7.48
2.00 0.197 25.27 12.14 11.17
2.25 0.265 33.92 15.36 15.90
2.50 0.345 44.14 18.97 21.81
2.75 0.437 56.02 22.95 29.03
3.00 0.544 69.63 27.32 37.69
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RAJAB & THIRUVENKATASAMY : ESTIMATION OF LONGSHORE SEDIMENT TRANSPORT
For Breaker wave angel θB = 5°
Figure 4a. Variation of longshore transport rates with breaker wave height
(For θB = 5° data from Table 2)
For Breaker wave angel θB = 1°
Figure 4b. Variation of longshore transport rates with breaker wave height
(For θB = 1° data from Table 2)
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INDIAN J. MAR. SCI., VOL. 46, NO. 07, JULY 2017
Figure 5. Variation of longshore transport rates with offshore wave height
(For offshore wave direction αo = 45° and wave period = 6 s)
Among the parameters influencing longshore
transport, only the influence of wave parameters
at 15 m water depth (Wave height and Wave
direction = 45º) on the transport rate is examined
(Figure 5). In this study, the offshore wave
parameters are defined at a water depth of 15 m,
because waves are generally measured in 15 – 20
m depth of water using directional wave rider
buoys. In these studies, for the Puducherry coast,
the beach slope is measured at 5m water depth as,
tan β = 0.019, bed material size, d50 = 0.25 mm
and wave period T= 6 s. The variations of
longshore sediment transport rates with offshore
wave height are shown in Figure 5.
Figure 5 show that the longshore transport rates
increases with increasing offshore wave height.
The computed longshore transport based on
CERC formula always gives higher estimates
whereas Kamphuis formula gives lower estimates
for the offshore wave height greater than 0.5 m.
The transport rate estimates based on LITDRIFT
module has close agreement with the transport
rate estimates based on VanRijn method.
Sensitivity studies- Surf zone model (DHI-Litdrift
model)
Sensitivity studies are carried out by varying the
parameters in the surf zone model and their
relative performances with bed roughness and
median particle size examined as shown in
Figures 6a & 6b. The orientation of Puducherry
coast in surf zone model was given as nearly
straight and oriented in N15°E direction. The
INCOIS measured wave data have been given as
input to surf zone model and the littoral drift has
been estimated. Figure 5a-b shows that the annual
gross and net transport increases with reducing the
bed roughness length and decreases with
increasing in median particle size.
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RAJAB & THIRUVENKATASAMY : ESTIMATION OF LONGSHORE SEDIMENT TRANSPORT
Figure 6a. Variation of gross and net drift with median particle size - Surf Zone model
Figure 6b. Variation of gross and net drift with bed roughness length - Surf Zone model
Validation of surf zone model results
In the absence of field measurements, the
estimated annual littoral drift obtained from this
surf zone model was compared with the estimated
annual littoral drift based on CERC, Kamphuis,
VanRijn empirical formula. Moreover, the
estimated annual net and gross longshore
sediment transport rates based on module is
validated with earlier estimates of annual net and
gross longshore sediment transport rates based on
ship reported wave data8 and based on measured
data for Puducherry coast9. It is observed that
estimated annual net and gross transport rates
based on the module has good agreement with
earlier estimated annual net and gross transport
rates for the Puducherry coast.
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INDIAN J. MAR. SCI., VOL. 46, NO. 07, JULY 2017
Results and Discussion
In the present study, the measured waves at 15
m water depth off Puducherry coast were used to
estimate the longshore sediment transport along
the Puducherry coast. Two approaches were
followed for the estimation of longshore sediment
transport rates, viz., i) Empirical method (CERC,
Kamphuis and VanRijn formulae) and ii) Process-
based method (surf zone model). Monthly
volume of littoral drift using empirical methods
(CERC, Kamphuis and VanRijn empirical
formulae) and process based method (DHI-
LITDRIFT module) are estimated and presented
in Table 3. It is observed that the highest
northerly transport occurs in the month of May,
followed by September, July, June and August.
Highest southerly transport was observed in
December followed by November. The net
monthly transport is northerly from March to
October and southerly during the remaining
months. Transport rate is found to be low in
February. The estimated littoral drift along the
Puducherry coast using surf zone model show that
the volume of annual gross littoral transport was
0.40 x 106 m
3/year and the volume of annual net
littoral transport was 0.13 x 106 m
3/year (towards
north).
Table 3. Monthly volume of alongshore sediment transport using three Empirical methods and process based method (DHI-
LITDRIFT module)
Month
Longshore sediment transport (m3/month)
Empirical method Process based method
CERC (1984) Kamphuis (1991) VanRijn (2002) DHI-LITDRIFT
Southerly Northerly Southerly Northerly Southerly Northerly Southerly Northerly
January 70441 -24440 29394 -14398 40265 -12256 25425 -11550
February 13086 -11968 7030 -8170 5196 -5858 4575 -5339
March 6248 -27236 2914 -16333 2509 -12092 2330 -12429
April 6027 -40408 3606 -29533 3236 -21546 2542 -23602
May 3635 -103332 2405 -38928 2171 -44992 1505 -54785
June 4273 -48021 4525 -21563 2489 -19844 2035 -26958
July 56 -76264 189 -65549 62 -56341 24 -31983
August 69 -63477 155 -47249 42 -41094 42 -28273
September 27 -81436 41 -60046 14 -55038 11 -35260
October 21936 -43046 11976 -32777 12752 -25812 8697 -20157
November 102855 -18605 47684 -17419 61280 -12968 41647 -9261
December 124681 -19895 46365 -10696 65925 -10692 44231 -5581
ANNUAL 353333 -558129 156283 -362661 195942 -318532 133065 -265178
Annual
Gross 911462 518944 514474
398243
Annual Net - 204796
(Northerly)
-206378
(Northerly)
-122590
(Northerly)
-132113
(Northerly)
(+) = Sediment transport towards Southerly direction
(-) = Sediment transport towards Northerly direction
1318
RAJAB & THIRUVENKATASAMY : ESTIMATION OF LONGSHORE SEDIMENT TRANSPORT
Conclusion
The comparison of sediment transport rates
using measured data shows that transport rate
estimates gives wide variation among the
empirical methods and process based method.
Transport rate estimates using CERC gives higher
(factor 2.5) and Kamphis gives factor 1.5 when
compared to VanRijn transport estimates.
Estimated littoral drift using surf zone model is
close agreement with estimated littoral drift using
VanRijn method. While dealing with long term
coastline changes and planning mitigation
measures to prevent adverse impacts due to
human interference, particularly along coasts with
high littoral transport, the prediction of along
shore sediment transport rate becomes important.
Prediction of this complex phenomenon on a
regional scale demands a complete understanding
of the underlying processes. However, the MIKE-
21 suites of models bring out these phenomena in
a regional scale and it is suitable in the application
of prediction for management decision9-10
.
Acknowledgements
Author express his sincere thanks to Dr. P.
Chandramohan, Managing Director, Indomer
Coastal Hydraulics (P) Ltd., Chennai, for
supporting data for completion of this work.
References 1. Mohamed Rajab, P., Mahadevan R., and
Chandramohan, P., Comparison of Hind-Cast Wave
with measured wave off Puducherry Coast, Eastcoast
of India, Indian Journal of Science and Technology,
Vol. S7, pp. 54-60, 2014.
2. CERC- Shore Protection Manual, US Army Corps of
Engineers, Coastal Engineering Research centre, Vols.
I to III, US Govt. Printing Office, Coastal and Ocean
Division, vol. 105, WW 4, 1984.
3. Van Rijn, L.C., Longshore sediment transport, Report
Z3054.20, Delft Hydraulics, Delft, The Netherlands,
2002
4. Ranga Rao, V., Ramana Murthy, M. V., Manjunath
Bhat and Reddy, N. T., Littoral sediment transport and
shoreline changes along Ennore on the southeast coast
of India: Field observations and numerical modeling,
Journal of Elsevier Publication, Vol.3, 2009.
5. Kamphuis, J.W., Alongshore sediment transport rate,
Journal of Waterway, Port, Coastal and Ocean
Engineering, vol. 117, p. 624-640, 1991.
6. Komar, P. D., Nearshore currents, In: Beach processes
and sedimentation, Prentice Hall Inc., Engle wood,
Cliffs, N.J, pp.168-202, 1979.
7. Danish Hydraulic Institute (DHI), An Integrated
Modelling System For Littoral Process And Coastline
Kinetics, Shore Introduction and Tutorial, DHI
Software, Copenhagen, 2010.
8. Chandramohan, P. and Nayak, B. U., Longshore
sediment transport along the Indian Coast, Indian
Journal of Marine Science Vol. 20, pp. 110 - 114,
1991.
9. Panigrahi, J. K., Sathish Kumar V., and Tripathy J. K.,
Littoral drift by alongshore flow at Visakhapatnam -
East Coast of India, in journal of hydro-environment
research, Elsevier publications, 2010.
10. Sanil Kumar, V., Pathak, K.C., Pednekar, P., Raju, N.
S. N. and Gowthaman, R., Coastal processes along the
Indian coastline, Journal of Current Science Vol.
91(4), 530-536, 2006.
1319