Onshore offshore sediment transport
Offshore transport
Movement of sediment or water away from the shore.
Occurs during the storm events
Onshore transport
Movement of sediment or water toward the shore.
Dominate during mild wave activity
Onshore-offshore transport
Transport perpendicular to the shore
 To predict the environmental quality and impact
 To understand the effect on habitat stability
 To be aware of public health risks
 To prevent marine hazards such as ship grounding
 To maintain a sound access to ports
 To comprehend the siltation of harbours, infill of reservoirs and
artificial lakes
 For coastline protection.
Study about the sediment transport processes are
important
 Beach and dune response to storms
 Equilibration of a beach nourishment project that is placed at slopes steeper
than equilibrium
 Shoreline response to sea level rise
 Seasonal changes of shoreline positions, which can amount to 30 to 40 m,
 Overwash, the process of landward transport due to overtopping of the
normal land mass due to high tides and waves
Scour immediately seaward of shore parallel structures
The three-dimensional flow of sand around coastal structures
Cross-shore sediment transport is relevant to a number of coastal
engineering problems,
 Changes in water level
 Tides
Waves
 Currents
Stream outflow
Processes responsible for initiating sediment
transportation
Within the surf zone, cross-shore transport may be
predominant due to sediment in suspension.
Dean (1973) noted that suspended sediment can move
either onshore (constructive) or offshore (destructive),
depending on how high a sand grain is suspended off the
bottom.
Gravity is the most obvious destructive force, acting
downslope and in generally seaward direction for a
monotonic profile
Often during major storm events, strong onshore winds will
be present in the vicinity of the shoreline. These winds
cause a shoreward-directed surface flow and a seaward-
directed bottom flow Destructive and constructive
forces for sediment movement
Coastal response
• The areas, most directly affected by the forces of the sea are the
beaches, the gulfs, and the nearshore regions that experience the full
impact of the sea’s energy.
• Normal condition prevails most of the time, and the wave energy is
easily dissipated by the beach’s natural defence mechanisms.
• When storm conditions generate waves containing increased amounts
of energy, the coast must respond with extraordinary measures, such
as sacrificing large section of beach and dune.
• Alternate erosion and accretion may be seasonal on some beaches;
the winter storm waves erode the beach, and the summer waves
rebuilds it.
Onshore-offshore transport
Cross shore transport is a result of the water motions due to the
waves and the undertow.
Sediment transport is perpendicular to the shore.
Important factors in determining the cross-shore transport of
sediment are
The ratio of wave height to wavelength
Physical parameters of the beach;
grain-size distribution, cohesiveness, beach
slope also play an important role.
There are two general types of dynamic beach
response to wave motion:
Response to normal condition
Response to storm condition
Normal wave conditions
offshore sediment transport and typically be deposited in a bar
resulting in an overall flattening of the slope of the shoreface.
During the following periods the bar will travel very slowly towards
the coastline again, practically rebuilding the original coastal profile.
CROSS-SHORE SEDIMENT TRANSPORT
Once the sediment is brought up into the water column it becomes available
for transport by the various hydrodynamic processes
In the cross-shore dimension the transport is considerably more complex.
The net sediment transport at a given point in the profile is often a balance
between an onshore transport caused by skewed incident short wave
motions, an offshore transport caused by mean currents and a transport
caused by long waves which can be either onshore or offshore directed
Consequently shore-normal sediment transport gradients can become large
and morphological changes created by such transport gradients are often
considerable, spatially as well as temporally.
Accretion occurs in zones of sediment transport convergence and erosion
occurs in zones of divergence
As surface gravity waves propagate from deeper waters to the
shore, their shape changes, primarily due to nonlinear wave
interactions and further on due to breaking. The nonlinear
effects amplify the higher harmonics and cause the oscillatory
flow to transform from nearly sinusoidal in deep water,
through velocity-skewed in the shoaling zone, to velocity
asymmetric in the inner-surf and swash zones
As for natural beaches, energetic (moderate)
wave climates mostly induce offshore (onshore)
sediment fluxes.
For a given significant wave height, an increase
(decrease) in the wave climate peak period is
associated with an increase (decrease) in wave
skewness and leads mostly to offshore (onshore)
sediment fluxes.
Skewed waves- Peaked
narrow crests and wide flat
troughs
The net sediment transport rate under strongly
skewed waves is either offshore directed due to
phase lag effects or onshore directed when the wave
‐
asymmetry is large enough.
Both these mechanisms probably largely contribute
to bar formation and migration.
Several conditions exhibit phase lag effects where the
‐
sediment is mobilized by the wave crest and
transported by the following trough, which produces
a net offshore transport even for a weak undertow
Wave shapes inducing velocity skewness (for sharp, high
crests and broad, shallow troughs) and velocity
asymmetry (for forward pitched of saw tooth type
‐
waves) are usually responsible for sediment transport in
the direction of wave propagation (onshore).
Typical skewed waves in the shoaling zone induce high
crest velocities in onshore direction that mobilize and
transport more sediment than the offshore directed
‐
trough velocities.
Additionally, the strong fluid acceleration induced by the
steep front faces of asymmetric waves enhances
sediment mobilization by the crests, further favoring the
onshore sediment flux
The undertow is usually considered to be the main
mechanism distributing sediment offshore, in correlation
with wave stirring that can be
enhanced by breaking wave turbulence
The net sediment transport associated with purely
skewed waves, however, may also be offshore directed,
due to phase lag between the mobilization and the
transport of sediment. In this case, the sediment
mobilized by the crest is transported by the following
trough before it settles.
Location A (deep water)
• Symmetric waves
• Inactive bed
• Transport is zero
Location B
• Skewed waves
• Ripples on sea bed
Example of wave ripples in the shoaling zone
Location C
• Skewed waves
• Bound infragravity waves
• Sheet flow (flat bed)
Infragravity waves - Surface gravity
waves with lower frequencies
(higher wave periods) than the
wind waves. Consisting of
both wind and sea swells
Skewed waves- Peaked narrow crests and wide flat troughs
Location D
• Asymmetric waves
• Undertow
Shoaling zone (1)
• Skewed waves stir AND transport sediment
• Near the bed- onshore transport
• Higher up in the vertical- No or small offshore transport
• Overall effect: onshore transport
Shoaling zone (2)
• Bound infragravity waves transport sand stirred by gravity
waves
• Large concentrations under high waves in the group coincide
with bound infragravity trough (offshore infragravity orbital
motion)
• Overall effect: offshore transport
Shoaling zone (3)
• Skewed waves: onshore transport
• Bound infragravity waves: offshore transport
• onshore >>> offshore
Breaking wave zone
• Breaking, asymmetric gravity waves stir sediment
• Large concentrations (breaking-induced turbulence)
• Sediment transport:
onshore by asymmetric waves
offshore by undertow
• In general:
few breaking waves onshore
many breaking waves offshore
Location E
• Infragravity waves
• Undertow
Swash zone (during storms)
• Water motion dominated by infragravity waves
• Infragravity waves stir AND transport sediment
• Large concentrations (breaking-induced turbulence)
• Sediment transport:
unclear
field experiments: onshore and offshore
Potential offshore contribution by undertow
Model theories for the calculation of Onshore-offshore transport
drift are
Simple cross shore transport model
Open loop models
Fall time model
Traction model for cross shore transport
Energetics model
Ripple model
• This model was first proposed by Moore and later modified by Kriebel
and Dean.
• The basic concept is that, for a uniform sand size across the profile and
an equilibrium beach, there is a constant energy dissipation rate per unit
volume.
• It is assumed that the amount of sediment moved will be dependent on
the difference between the actual energy dissipation rate and that for an
equilibrium profile .
is a dimensionless transport coefficient
is actual wave energy dissipation per unit volume of water
is the equilibrium wave energy dissipation per unit volume of
water
• where is the volumetric cross shore sediment transport rate per unit
width in the offshore direction.
Simple cross shore transport model
• If D is greater than equilibrium value D* there is a
greater turbulence level in the surf zone than that of for
the equilibrium profile. If qs is positive then there will be
a sediment transport in the offshore direction. On the
other hand , for values of D, less than equilibrium value,
onshore transport will occur. The value D can be
obtained as,
• which is dependent on the water depth and bottom
slope, which has stronger effect.
Open loop models
• Open loop Models usually relate cross shore
sediment transport to the detailed physics of the
flow field such as sediment concentration, fluid
velocity and bottom shear stress. There are
different formulae falls under this category
• The net time averaged flux of suspended sediment
past a section in the nearshore zone as
Where and are averaged horizontal velocity and
sediment concentration at level Z respectively.
• The total suspended sediment transport over a
wave period is given by
• Where is velocity, is concentration, denotes the
Lagrangian drift , represent the time averaged
concentration, is the wave period.
Equilibrium Beach Profiles (EBF)
• Various models have been proposed for representing equilibrium
beach profiles (EBP). Some of these models are based on examination
of the geometric characteristics of profiles in nature and some attempt
to represent in a gross manner the forces active in shaping the profile.
• One approach that has been utilized is to recognize the presence of
the constructive forces and to hypothesize the dominance of various
destructive forces.
• This approach can lead to simple algebraic forms for the profiles for
testing against profile data.
• Dean (1977) has examined the forms of the EBPs that would result if
the dominant destructive forces were one of the following:
(a) Wave energy dissipation per unit water volume.
(b) Wave energy dissipation per unit surface area.
(c)Uniform average longshore shear stress across the surf
zone
• using linear wave theory and a simple wave breaking model, the
EBP could be represented by the following simple algebraic
(1)
- Sediment Scale Parameter
- water depth
- offshore distance
- exponent
depends on the sediment size D .
• Brunn (1954) found the exponent is equal to 2/3
• Dean (1977) found the theoretical value of the exponent to be 2/3
for the case of wave energy dissipation per unit volume as the
dominant force (a) and 0.4 for the other two cases (b,c)
The following expression is recommended for use in
describing equilibrium beach profiles
(2)
Wave energy dissipation per unit water volume causes
destabilization of the sediment particles through the
turbulence associated with the breaking waves.
Thus the dynamic equilibrium results when the level
of destabilizing and constructive forces are balanced.
The sediment scale parameter A and the equilibrium
wave energy dissipation per unit volume are related
by Dean in 1991
(3)
Moore (1982) and Dean (1987b) have provided
empirical correlations between the sediment scale
parameter A as a function of sediment size D and fall
velocity
Computation of equilibrium beach profiles
• The most simple application is the calculation of
equilibrium beach profiles for various grain sizes,
assumed uniform across the profile.
• Lets try to determine the EBF for the sediment
grain sizes of 0.3 mm and 0.66 mm.
• From Figure in slide 46 and/or Table in slide 47,
the associated A values are 0.125 m 1/3
and 0.18 m
1/3
• Then using equation profiles can be plotted.
Application of equilibrium profile methods
to nourished beaches
• In the design of beach nourishment projects, it is important to estimate
the dry beach width after profile equilibration.
• Most profiles are placed at slopes considerably steeper than
equilibrium and the equilibration process, consisting of a redistribution
of the fill sand across the active profile out to the depth of closure,
occurs over a period of several years.
• In general, the performance of a beach fill, in terms of the resulting gain
in dry beach width relative to the volume of sand placed on the beach,
is a function of the compatibility of the fill sand with the native sand.
• Based on equilibrium beach profile concepts, it should be evident that
since profiles composed of coarser sediments assume steeper profiles,
beach fills using coarser sand will require less sediment to provide the
same equilibrium dry beach width ∆y than fills using sediment that is
finer than the native sand.
• Three types of nourished profiles are possible,
depending on the volumes of sand added and
on whether the nourishment is coarser or
finer than that originally present sand on the
beach
• These profiles are
Intersecting
Nonintersecting
Submerged
Quantitative relationships for nourished profiles.
• In order to investigate the conditions of profile type
occurrence and additional quantitative aspects, it is
useful to define the following non-dimensional
quantities:
N- Native sediment ; F – Filled sediment (4)
; , (5)
• Where the symbol V denotes added volume per unit
beach length, B is the berm height, and is the depth to
which the nourished profile will equilibrate.
• In general, this will be considered to be the closure
depth.
• - non-dimensional equilibrium dry beach width
• It is important to note that the width is based
on the native sediment scale parameter as
given (6)
• The non-dimensional equilibrium dry beach width
can be presented in terms of three non-
dimensional quantities
(7)
Given that the fill sediment scale parameter is
greater than or equal to the native sediment scale
parameter,
(8)
• The critical volume of sand deciding the
intersection and non-intersecting profiles is
(9)
• This applies only for , since for, the profiles will
always be nonintersecting.
• Even though it should be recognized that
nonintersecting profiles can also exist for.
• If, but , then the profile will be nonintersecting
• The critical volume of sand that will just yield a
finite shoreline displacement for the case of
sand that is finer than the native ()
(10)
• For intersecting profiles, the non dimensional
volume required to yield an advancement is
(11)
• For non-intersecting but emergent profiles the
non dimensional volume required to yield an
advancement is
(12)
• For a submerged beach profile )
non dimensional volume required to yield an
advancement is
(13)
• Equations 11 and 12 can be displayed in a
useful form for calculating the volume
required for a particular equilibrium additional
dry beach width.
• Since only two independent variables can be
displayed on a single plot, three are presented
in the following slides, one each for 0.333 and
0.25
• Determine the equilibrated additional dry beach width ∆y
due to cross-shore transport
• Data Given:
,
The sediment scale parameters can be determined :
:
The effective wave height is determined from
The closure depth is determined from
(1.57) (5.11) =8 m
The reference width of effective motion is
calculated using
Determine the non-dimensional quantities:
; ,
1
Using the figure in slide 63 ( which is corresponding to )
and can determine
Thus
Results of the graphical solution are below
• The solution is next carried out with the appropriate
equations for comparison with the graphical
procedure.
• Apply Equation 9 to determine whether the profiles
will be intersecting or nonintersecting
compared with the applied of 0.28
the solution is an intersecting profile.
• Applying Equation 11, for an intersecting profile
can be determined.
• This equation can be reduced to
• Solving the equation
= 0.0955 or
• is the answer from graphical method. when equations are used.
• Thus, for this example, the graphical solution is reasonable.
• The intersection distance for these two profiles can be
determined using the following argument
Rearranging the terms
By comparison, the corresponding values from the graphical
solution are = 495 m and = 6.25 m
on shore off shore sediment transport-2021 (1).pptx
on shore off shore sediment transport-2021 (1).pptx

on shore off shore sediment transport-2021 (1).pptx

  • 1.
  • 2.
    Offshore transport Movement ofsediment or water away from the shore. Occurs during the storm events Onshore transport Movement of sediment or water toward the shore. Dominate during mild wave activity Onshore-offshore transport Transport perpendicular to the shore
  • 4.
     To predictthe environmental quality and impact  To understand the effect on habitat stability  To be aware of public health risks  To prevent marine hazards such as ship grounding  To maintain a sound access to ports  To comprehend the siltation of harbours, infill of reservoirs and artificial lakes  For coastline protection. Study about the sediment transport processes are important
  • 5.
     Beach anddune response to storms  Equilibration of a beach nourishment project that is placed at slopes steeper than equilibrium  Shoreline response to sea level rise  Seasonal changes of shoreline positions, which can amount to 30 to 40 m,  Overwash, the process of landward transport due to overtopping of the normal land mass due to high tides and waves Scour immediately seaward of shore parallel structures The three-dimensional flow of sand around coastal structures Cross-shore sediment transport is relevant to a number of coastal engineering problems,
  • 8.
     Changes inwater level  Tides Waves  Currents Stream outflow Processes responsible for initiating sediment transportation
  • 9.
    Within the surfzone, cross-shore transport may be predominant due to sediment in suspension. Dean (1973) noted that suspended sediment can move either onshore (constructive) or offshore (destructive), depending on how high a sand grain is suspended off the bottom. Gravity is the most obvious destructive force, acting downslope and in generally seaward direction for a monotonic profile Often during major storm events, strong onshore winds will be present in the vicinity of the shoreline. These winds cause a shoreward-directed surface flow and a seaward- directed bottom flow Destructive and constructive forces for sediment movement
  • 10.
    Coastal response • Theareas, most directly affected by the forces of the sea are the beaches, the gulfs, and the nearshore regions that experience the full impact of the sea’s energy. • Normal condition prevails most of the time, and the wave energy is easily dissipated by the beach’s natural defence mechanisms. • When storm conditions generate waves containing increased amounts of energy, the coast must respond with extraordinary measures, such as sacrificing large section of beach and dune. • Alternate erosion and accretion may be seasonal on some beaches; the winter storm waves erode the beach, and the summer waves rebuilds it.
  • 11.
    Onshore-offshore transport Cross shoretransport is a result of the water motions due to the waves and the undertow. Sediment transport is perpendicular to the shore. Important factors in determining the cross-shore transport of sediment are The ratio of wave height to wavelength Physical parameters of the beach; grain-size distribution, cohesiveness, beach slope also play an important role.
  • 12.
    There are twogeneral types of dynamic beach response to wave motion: Response to normal condition Response to storm condition Normal wave conditions offshore sediment transport and typically be deposited in a bar resulting in an overall flattening of the slope of the shoreface. During the following periods the bar will travel very slowly towards the coastline again, practically rebuilding the original coastal profile.
  • 13.
    CROSS-SHORE SEDIMENT TRANSPORT Oncethe sediment is brought up into the water column it becomes available for transport by the various hydrodynamic processes In the cross-shore dimension the transport is considerably more complex. The net sediment transport at a given point in the profile is often a balance between an onshore transport caused by skewed incident short wave motions, an offshore transport caused by mean currents and a transport caused by long waves which can be either onshore or offshore directed Consequently shore-normal sediment transport gradients can become large and morphological changes created by such transport gradients are often considerable, spatially as well as temporally. Accretion occurs in zones of sediment transport convergence and erosion occurs in zones of divergence
  • 14.
    As surface gravitywaves propagate from deeper waters to the shore, their shape changes, primarily due to nonlinear wave interactions and further on due to breaking. The nonlinear effects amplify the higher harmonics and cause the oscillatory flow to transform from nearly sinusoidal in deep water, through velocity-skewed in the shoaling zone, to velocity asymmetric in the inner-surf and swash zones
  • 15.
    As for naturalbeaches, energetic (moderate) wave climates mostly induce offshore (onshore) sediment fluxes. For a given significant wave height, an increase (decrease) in the wave climate peak period is associated with an increase (decrease) in wave skewness and leads mostly to offshore (onshore) sediment fluxes. Skewed waves- Peaked narrow crests and wide flat troughs
  • 16.
    The net sedimenttransport rate under strongly skewed waves is either offshore directed due to phase lag effects or onshore directed when the wave ‐ asymmetry is large enough. Both these mechanisms probably largely contribute to bar formation and migration. Several conditions exhibit phase lag effects where the ‐ sediment is mobilized by the wave crest and transported by the following trough, which produces a net offshore transport even for a weak undertow
  • 17.
    Wave shapes inducingvelocity skewness (for sharp, high crests and broad, shallow troughs) and velocity asymmetry (for forward pitched of saw tooth type ‐ waves) are usually responsible for sediment transport in the direction of wave propagation (onshore). Typical skewed waves in the shoaling zone induce high crest velocities in onshore direction that mobilize and transport more sediment than the offshore directed ‐ trough velocities. Additionally, the strong fluid acceleration induced by the steep front faces of asymmetric waves enhances sediment mobilization by the crests, further favoring the onshore sediment flux
  • 18.
    The undertow isusually considered to be the main mechanism distributing sediment offshore, in correlation with wave stirring that can be enhanced by breaking wave turbulence The net sediment transport associated with purely skewed waves, however, may also be offshore directed, due to phase lag between the mobilization and the transport of sediment. In this case, the sediment mobilized by the crest is transported by the following trough before it settles.
  • 20.
    Location A (deepwater) • Symmetric waves • Inactive bed • Transport is zero
  • 21.
    Location B • Skewedwaves • Ripples on sea bed Example of wave ripples in the shoaling zone
  • 22.
    Location C • Skewedwaves • Bound infragravity waves • Sheet flow (flat bed) Infragravity waves - Surface gravity waves with lower frequencies (higher wave periods) than the wind waves. Consisting of both wind and sea swells Skewed waves- Peaked narrow crests and wide flat troughs
  • 25.
    Location D • Asymmetricwaves • Undertow Shoaling zone (1) • Skewed waves stir AND transport sediment • Near the bed- onshore transport • Higher up in the vertical- No or small offshore transport • Overall effect: onshore transport
  • 26.
    Shoaling zone (2) •Bound infragravity waves transport sand stirred by gravity waves • Large concentrations under high waves in the group coincide with bound infragravity trough (offshore infragravity orbital motion) • Overall effect: offshore transport Shoaling zone (3) • Skewed waves: onshore transport • Bound infragravity waves: offshore transport • onshore >>> offshore
  • 27.
    Breaking wave zone •Breaking, asymmetric gravity waves stir sediment • Large concentrations (breaking-induced turbulence) • Sediment transport: onshore by asymmetric waves offshore by undertow • In general: few breaking waves onshore many breaking waves offshore
  • 28.
    Location E • Infragravitywaves • Undertow Swash zone (during storms) • Water motion dominated by infragravity waves • Infragravity waves stir AND transport sediment • Large concentrations (breaking-induced turbulence) • Sediment transport: unclear field experiments: onshore and offshore Potential offshore contribution by undertow
  • 31.
    Model theories forthe calculation of Onshore-offshore transport drift are Simple cross shore transport model Open loop models Fall time model Traction model for cross shore transport Energetics model Ripple model
  • 32.
    • This modelwas first proposed by Moore and later modified by Kriebel and Dean. • The basic concept is that, for a uniform sand size across the profile and an equilibrium beach, there is a constant energy dissipation rate per unit volume. • It is assumed that the amount of sediment moved will be dependent on the difference between the actual energy dissipation rate and that for an equilibrium profile . is a dimensionless transport coefficient is actual wave energy dissipation per unit volume of water is the equilibrium wave energy dissipation per unit volume of water • where is the volumetric cross shore sediment transport rate per unit width in the offshore direction. Simple cross shore transport model
  • 33.
    • If Dis greater than equilibrium value D* there is a greater turbulence level in the surf zone than that of for the equilibrium profile. If qs is positive then there will be a sediment transport in the offshore direction. On the other hand , for values of D, less than equilibrium value, onshore transport will occur. The value D can be obtained as, • which is dependent on the water depth and bottom slope, which has stronger effect.
  • 34.
    Open loop models •Open loop Models usually relate cross shore sediment transport to the detailed physics of the flow field such as sediment concentration, fluid velocity and bottom shear stress. There are different formulae falls under this category • The net time averaged flux of suspended sediment past a section in the nearshore zone as Where and are averaged horizontal velocity and sediment concentration at level Z respectively.
  • 35.
    • The totalsuspended sediment transport over a wave period is given by • Where is velocity, is concentration, denotes the Lagrangian drift , represent the time averaged concentration, is the wave period.
  • 36.
    Equilibrium Beach Profiles(EBF) • Various models have been proposed for representing equilibrium beach profiles (EBP). Some of these models are based on examination of the geometric characteristics of profiles in nature and some attempt to represent in a gross manner the forces active in shaping the profile. • One approach that has been utilized is to recognize the presence of the constructive forces and to hypothesize the dominance of various destructive forces. • This approach can lead to simple algebraic forms for the profiles for testing against profile data. • Dean (1977) has examined the forms of the EBPs that would result if the dominant destructive forces were one of the following: (a) Wave energy dissipation per unit water volume. (b) Wave energy dissipation per unit surface area. (c)Uniform average longshore shear stress across the surf zone
  • 37.
    • using linearwave theory and a simple wave breaking model, the EBP could be represented by the following simple algebraic (1) - Sediment Scale Parameter - water depth - offshore distance - exponent depends on the sediment size D . • Brunn (1954) found the exponent is equal to 2/3 • Dean (1977) found the theoretical value of the exponent to be 2/3 for the case of wave energy dissipation per unit volume as the dominant force (a) and 0.4 for the other two cases (b,c)
  • 38.
    The following expressionis recommended for use in describing equilibrium beach profiles (2) Wave energy dissipation per unit water volume causes destabilization of the sediment particles through the turbulence associated with the breaking waves. Thus the dynamic equilibrium results when the level of destabilizing and constructive forces are balanced.
  • 39.
    The sediment scaleparameter A and the equilibrium wave energy dissipation per unit volume are related by Dean in 1991 (3) Moore (1982) and Dean (1987b) have provided empirical correlations between the sediment scale parameter A as a function of sediment size D and fall velocity
  • 43.
    Computation of equilibriumbeach profiles • The most simple application is the calculation of equilibrium beach profiles for various grain sizes, assumed uniform across the profile. • Lets try to determine the EBF for the sediment grain sizes of 0.3 mm and 0.66 mm. • From Figure in slide 46 and/or Table in slide 47, the associated A values are 0.125 m 1/3 and 0.18 m 1/3 • Then using equation profiles can be plotted.
  • 45.
    Application of equilibriumprofile methods to nourished beaches • In the design of beach nourishment projects, it is important to estimate the dry beach width after profile equilibration. • Most profiles are placed at slopes considerably steeper than equilibrium and the equilibration process, consisting of a redistribution of the fill sand across the active profile out to the depth of closure, occurs over a period of several years. • In general, the performance of a beach fill, in terms of the resulting gain in dry beach width relative to the volume of sand placed on the beach, is a function of the compatibility of the fill sand with the native sand. • Based on equilibrium beach profile concepts, it should be evident that since profiles composed of coarser sediments assume steeper profiles, beach fills using coarser sand will require less sediment to provide the same equilibrium dry beach width ∆y than fills using sediment that is finer than the native sand.
  • 46.
    • Three typesof nourished profiles are possible, depending on the volumes of sand added and on whether the nourishment is coarser or finer than that originally present sand on the beach • These profiles are Intersecting Nonintersecting Submerged
  • 48.
    Quantitative relationships fornourished profiles. • In order to investigate the conditions of profile type occurrence and additional quantitative aspects, it is useful to define the following non-dimensional quantities: N- Native sediment ; F – Filled sediment (4) ; , (5) • Where the symbol V denotes added volume per unit beach length, B is the berm height, and is the depth to which the nourished profile will equilibrate. • In general, this will be considered to be the closure depth. • - non-dimensional equilibrium dry beach width
  • 49.
    • It isimportant to note that the width is based on the native sediment scale parameter as given (6)
  • 50.
    • The non-dimensionalequilibrium dry beach width can be presented in terms of three non- dimensional quantities (7) Given that the fill sediment scale parameter is greater than or equal to the native sediment scale parameter, (8)
  • 51.
    • The criticalvolume of sand deciding the intersection and non-intersecting profiles is (9) • This applies only for , since for, the profiles will always be nonintersecting. • Even though it should be recognized that nonintersecting profiles can also exist for. • If, but , then the profile will be nonintersecting
  • 52.
    • The criticalvolume of sand that will just yield a finite shoreline displacement for the case of sand that is finer than the native () (10) • For intersecting profiles, the non dimensional volume required to yield an advancement is (11)
  • 53.
    • For non-intersectingbut emergent profiles the non dimensional volume required to yield an advancement is (12)
  • 54.
    • For asubmerged beach profile ) non dimensional volume required to yield an advancement is (13)
  • 55.
    • Equations 11and 12 can be displayed in a useful form for calculating the volume required for a particular equilibrium additional dry beach width. • Since only two independent variables can be displayed on a single plot, three are presented in the following slides, one each for 0.333 and 0.25
  • 59.
    • Determine theequilibrated additional dry beach width ∆y due to cross-shore transport • Data Given: , The sediment scale parameters can be determined : : The effective wave height is determined from The closure depth is determined from (1.57) (5.11) =8 m
  • 60.
    The reference widthof effective motion is calculated using Determine the non-dimensional quantities: ; , 1
  • 61.
    Using the figurein slide 63 ( which is corresponding to ) and can determine Thus Results of the graphical solution are below
  • 62.
    • The solutionis next carried out with the appropriate equations for comparison with the graphical procedure. • Apply Equation 9 to determine whether the profiles will be intersecting or nonintersecting compared with the applied of 0.28 the solution is an intersecting profile.
  • 63.
    • Applying Equation11, for an intersecting profile can be determined. • This equation can be reduced to • Solving the equation = 0.0955 or
  • 64.
    • is theanswer from graphical method. when equations are used. • Thus, for this example, the graphical solution is reasonable. • The intersection distance for these two profiles can be determined using the following argument Rearranging the terms By comparison, the corresponding values from the graphical solution are = 495 m and = 6.25 m

Editor's Notes

  • #2 Slide 2 Movement of sediment away from the shore due to the storm events is defined as the offshore sediment transport. Movement of sediment towards the shore, triggered due to the energy flux created by a broken wave front that approached the surf zone in an oblique manner is defined as the onshore sediment transport. Sediment movement mostly perpendicular to the shore line is commonly defined as cross shore ( onshore- offshore) sediment transport.
  • #3 Slide 3 This slide depicts the approach of an incident wave front in an oblique manner in to the surf zone, which broken and generating two energy flux components, i.e. long-shore flux (qx) and cross-shore flux (qy). Cross-shore flux is predominantly trigger the movement of sediment perpendicular to the shoreline.
  • #4 Slide 4 As you are already aware, sediment movement should be studied to get a comprehension on the factors listed in the site. Categorically, understanding the sediment transport process in the context of direction, volume and rate is prominent in ecological, economical, morphological and hydrodynamic aspects.
  • #5 Slide 5 Cross shore sediment transport is related with several engineering problems. Those are shown in the slide and elaborated in the following slides.
  • #6 Slide 6 Once a shore line is hit by a storm event the natural shape of the coastline would be lost at the cost of achieving an equilibrium profile. You can see that shore line is a dynamic equilibrium, where the profile it yields subsequent to a storm event will be lost after the consecutive such events. Pre storm profile will be readjusted to a post storm profile losing part of sediment and depositing the same in the continental shelf. Figure b, shows the adjustment of a nourished beach profile, once exposed to the waves and tides. Beach nourishment is a process where sand is artificially dredged from the land or offshore and feed in to severely sediment deficient coastal environments. The nourished beach profile is temporary and it would achieve more stable state of beach indicated as the Equilibrated profile due to the wave- sediment interactions. As depicted in figure c , profile nourishments are focusing at achieving the original profile of the coastal zone. Such nourishment is placed in a dynamic environment is inherently unstable and migration of the profile towards more stable profile could be expected. Another key concern in modern coastal engineering is shown in figure d. Sea level rise due to the global warming is affected to the dynamic equilibrium of the coastal profiles. Sea level rise will affect surf zone dynamics and tidal patterns in the vicinity of the shoreline, as such the beach profiles would be readjusted eroding and accreting sediment in response to the mean sea level adjustments.
  • #7 Slide 7 As figure e , displays beaches are showing erosional and accretion responses to the seasonal fluctuations. Accordingly, during the summer beach profiles are mostly depositional, conversely during the winter profile is more erosional. To have an idea on such seasonal profile fluctuations of beaches, cross shore sediment transport should be understood in those particular coastal regions. Figure f, shows the responses of a sediment deposition to an extreme weather event, that results wash over of sediments leading to a readjustment of the deposit and the adjacent marine environments are also influenced due to the profile adjustments. Cross shore sediment movement is important to understand the sediment accumulation and erosion in the vicinity of coastal structures, which is a replication of the flow pattern in the area. These details are shown in figure g and h.
  • #8 Slide 8 Sediment transport process is unleashed due the changes in water level which is closely related with the tidal fluctuations, waves impact, currents ( rip currents, undertow) and impact due to the riverine flows.
  • #9 Slide 9 Within the surf zone, cross-shore transport may be predominant due to sediment in suspension. Dean (1973) noted that suspended sediment can move either onshore (constructive) or offshore (destructive), depending on how high a sand grain is suspended off the bottom. Gravity is the most obvious destructive force, acting downslope and in generally seaward direction for a monotonic profile Often during major storm events, strong onshore winds will be present in the vicinity of the shoreline. These winds cause a shoreward-directed surface flow and a seaward-directed bottom flow. These flows are acting as destructive and constructive forces for sediment movements in the near shore regions.
  • #10 Slide 10 The areas, most directly affected by the forces of the sea are the beaches, the gulfs, and the nearshore regions that experience the full impact of the sea’s energy. Normal condition prevails most of the time, and the wave energy is easily dissipated by the beach’s natural defence mechanisms, such as breaking, fringing effects due to mangroves and etc. When storm conditions generate waves containing increased amounts of energy, the coast must respond with extraordinary measures, such as sacrificing large section of beach and dune to battle against the energy carried by that extreme event. Alternate erosion and accretion may be seasonal on some beaches as discussed in the previous slides; the winter storm waves erode the beach, and the summer waves rebuilds it.
  • #13 Slide 13 Cross shore transport is a result of the water motions due to the waves and the undertow. The broken wave pushes water up the beach and gravity pulls the water back down the beach, as backwash. When big waves break on the beach, a large uprush and backwash of water and sand are generated; this seaward-flowing water/sand mixture is pulled strongly into the next breaking wave. Beachgoers feel like they are being sucked underwater when the wave breaks over their head - this is undertow. In the cross shore sediment transport, sediment movement is perpendicular to the shore. Important factors in determining the cross-shore transport of sediment are the ratio of wave height to wavelength, physical parameters of the beach; such as grain-size distribution, cohesiveness, beach slope. Under equilibrium conditions, constructive and destructive forces are in balance and although there is motion of the individual sand grains under even low wave activity, the profile remains more or less static. Crossshore sediment transport occurs when hydrodynamic conditions within the nearshore zone change, thereby modifying one or more of the forces resulting in an imbalance and thus causing transport gradients and profile change.
  • #14 Slide 14 There are two general types of dynamic beach response to wave motion: Response to normal condition and Response to storm condition. During the normal wave conditions, offshore sediment transport is prominent and sediment typically be deposited in a bar resulting in an overall flattening of the slope of the shoreface. During the following periods the bar will travel very slowly towards the coastline again, practically rebuilding the original coastal profile. The response of the beach to a storm is quite rigorous and there could be significant readjustments in the beach profiles leading to net loss or accretion of materials in the beach and also at the adjacent coastal environments such as estuaries and etc.
  • #15 Slide 15 Once the sediment is brought up into the water column it becomes available for transport by the various hydrodynamic processes. In the cross-shore dimension the transport is considerably more complex. The net sediment transport at a given point in the profile is often a balance between an onshore transport caused by skewed incident short wave motions, an offshore transport caused by mean currents and a transport caused by long waves which can be either onshore or offshore directed. Consequently shore-normal sediment transport gradients can become large and morphological changes created by such transport gradients are often considerable, spatially as well as temporally. Accretion occurs in zones of sediment transport convergence and erosion occurs in zones of divergence
  • #16 Slide 16 The evolution of an incident wave from deep ocean to the shore line is shown in the slide.
  • #17 Slide 17 As for natural beaches, energetic (moderate) wave climates mostly induce offshore (onshore) sediment fluxes. For a given significant wave height, an increase (decrease) in the wave climate peak period is associated with an increase (decrease) in wave skewness and leads mostly to offshore (onshore) sediment fluxes. Oscillatory flows induced by short waves in nearshore zones are velocity-skewed with peaked narrow crest and flat wide trough in wave shoaling, and acceleration-skewed with steep frontal slope and gentle rear slope in a surf zone. In a sheet flow, a shear stress is large and a sediment concentration is high. The sediment transport is very essential under the velocity-skewed and acceleration-skewed (skewed asymmetric) oscillatory sheet flows because it is very important in the topography evolution
  • #18 Slide 18 The net sediment transport rate under strongly skewed waves is either offshore directed due to phase‐lag effects or onshore directed when the wave asymmetry is large enough. Both these mechanisms probably largely contribute to bar formation and migration. Several conditions exhibit phase‐lag effects where the sediment is mobilized by the wave crest and transported by the following trough, which produces a net offshore transport even for a weak undertow. The generation of the net sediment transport is mainly attributed to the phase-lag both in velocity skewed flows (Li et al., 2008) or acceleration-skewed flows (van der A et al., 2010). There are three types of phase-lag (Chen et al., 2018a): (1) a phase-shift which denotes the responded time of sediment movement in the sheet flow layer falling behind free stream velocity; (2) a phase-residual which denotes sediment entrained during the current half period, maintained in movement during deceleration stage, and transported after flow reversal; (3) a phase-lead which denotes the leading time of bottom shear stress and boundary layer velocity to the free stream velocity.
  • #19 Slide 19 Wave shapes inducing velocity skewness (for sharp, high crests and broad, shallow troughs) and velocity asymmetry (for forward pitched of saw tooth‐type waves) are usually responsible for sediment transport in the direction of wave propagation (onshore). Typical skewed waves in the shoaling zone induce high crest velocities in onshore direction that mobilize and transport more sediment than the offshore‐directed trough velocities. Additionally, the strong fluid acceleration induced by the steep front faces of asymmetric waves enhances sediment mobilization by the crests, further favoring the onshore sediment flux
  • #20 Slide 20 The undertow is usually considered to be the main mechanism distributing sediment offshore, in correlation with wave stirring that can be enhanced by breaking wave turbulence. The net sediment transport associated with purely skewed waves, however, may also be offshore directed, due to phase lag between the mobilization and the transport of sediment. In this case, the sediment mobilized by the crest is transported by the following trough before it settles.
  • #21 Slide 21 Cross shore sediment transport can be discussed considering different locations along an ocean profile. As shown in the figure different sediment transport modes and bed forms will be resulted at distinct locations of the ocean profile.
  • #22 Slide 22 In the figure shown in slide 22, A refers to a deep offshore location. In the offshore waves are mostly bearing a symmetrical nature, as such bed is not in active state for the sediment motion, leading to net zero sediment transport.
  • #23 Slide 23 At the location B , when the waves lose their symmetry gaining a skewed shape, there would be a net sediment motion leading to the formation of temporary rhythmic bed forms, called ripples.
  • #24 Slide 24 When the wave front further advances towards the shore, skewed nature of the wave will be further established and waves will higher wave periods will be developed. This will causes to have a bed form free flat bed in the ocean, termed as a sheet flow. The ‘sheet-flow’ layer is the thin layer of high sediment concentration that occurs above plane, noncohesive, sediment beds in intense wave and current flow conditions. Sheet flow contributes significantly to net sediment transport beneath large waves, and its understanding is therefore crucially important for predictive purposes
  • #25 Slide 25 This slide shows a velocity skewed wave with Peaked narrow crests and wide flat troughs. Accordingly, under the peaked crest substantial grain movement compared to the movement taken place during the flat trough. This would lead to result net movement of sediment towards onshore direction.
  • #26 Slide 26 This figure shows the impact of shear Reynolds number and shear stress for the formation of bed forms. The required correlations among these two variables for the evolution of Ripples and sheet flow sediment movement are clearly shown in the figure.
  • #27 Slide 27 Location D of the profile shown in slide 22 represent an asymmetric wave conditions followed by the skewed waves. This location represents the boundary of the surf zone, where waves are getting prepared to face breaking process. Further, impact of the shoreward currents, such as undertow will also coming in to picture at such locations due to continental slope. If the shoaling regions are categorized in to three segments, at the zone 1, sediment movement is empowered by the wave skewness triggered due to the shoaling impact. In this shoaling area, near the bed onshore transport can be observed and higher up in the vertical direction sediment movements are not so prominent. Accordingly, in this region overall sediment transport would be directed towards the onshore.
  • #30 Slide 30 At the next segment of shoaling region, infragravity waves predominantly transport sediment stirred by gravity waves, and net offshore sediment movement is ominous in such regions. Next part of the shoaling region waves are skewed and infragravity in nature. Each wave will transport sediment in to onshore and offshore directions. Depending on the dominance of the movement net direction of movement will be inferred.
  • #31 Slide 31 Surpassing the shoaling region wave front will reach in to the breaking zone, where significant asymmetry will be displayed by the waves, leading to the sediment stirring and subsequent movement of those. Large sediment concentrations would be resulted due to the turbulence unleashed by the breaking waves. Wave asymmetry and undertow will transport sediment on shore and offshore directions, respectively. In general if breaking is not significant net onshore movement will be resulted and if there are many breaking waves offshore directed sediment movement would be taken place.
  • #32 Slide 32 Location E of the profile shown in slide 22 represent a place in the swash zone boundary. This region is dominantly occupied by broken infragravity waves and currents like undertows. In the swash zone sediment transport is capitalized by the infragravity waves and like in the shoaling regions large sediment concentrations would be resulted due to the turbulance.
  • #33 Slide 33 This summarizes the key features observable at selected locations along a coastal profile, in the context of sediment movement, wave anatomy and bed evolutions.
  • #35 Slide 35 There are several model based theories developed for the quantification of cross shore sediment movements, as shown in the slide.
  • #36 Slide 37 Simple cross shore sediment transport model is based on some idealized conditions given as assumptions in the slide. Using the model volumetric cross shore sediment transport rate per unit width can be determined with the use of given empirical formula.
  • #37 Slide 38 Actual energy dissipation D, that is dependent on the water depth, bottom slope and wave breaker index.
  • #38 Slide 39 Open loop Models usually relate cross shore sediment transport to the detailed physics of the flow field such as sediment concentration, fluid velocity and bottom shear stress. There are different formulae falls under this category The net time averaged flux of suspended sediment past a section in the nearshore zone as Where and are averaged horizontal velocity and sediment concentration at level Z respectively.
  • #39 Slide 40 The total suspended sediment transport over a wave period is given by Where is velocity, is concentration, denotes the Lagrangian drift , represent the time averaged concentration, is the wave period.
  • #40 Slide 41 Various models have been proposed for representing equilibrium beach profiles (EBP). One approach that has been utilized is to recognize the presence of the constructive forces and to hypothesize the dominance of various destructive forces Dean (1977) has examined the forms of the EBPs that would result if the dominant destructive forces were one of the following: (a) Wave energy dissipation per unit water volume. (b) Wave energy dissipation per unit surface area. (c) c)Uniform average longshore shear stress across the surf zone
  • #41 Slide 42 using linear wave theory and a simple wave breaking model, the EBP could be represented by the following simple algebraic - Sediment Scale Parameter - water depth - offshore distance – exponent depends on the sediment size D . Brunn (1954) found the exponent is equal to 2/3 Dean (1977) found the theoretical value of the exponent to be 2/3 for the case of wave energy dissipation per unit volume as the dominant force (a) and 0.4 for the other two cases (b,c)
  • #42 Slide 43 The following expression is recommended for use in describing equilibrium beach profiles Wave energy dissipation per unit water volume causes destabilization of the sediment particles through the turbulence associated with the breaking waves. Thus the dynamic equilibrium results when the level of destabilizing and constructive forces are balanced.
  • #43 Slide 44 The sediment scale parameter A and the equilibrium wave energy dissipation per unit volume are related by Dean in 1991 Some other researchers have provided empirical correlations between the sediment scale parameter A as a function of sediment size D and fall velocity
  • #44 Slide 45 The figure shows the variation of sediment scale parameter as a function of sediment size and sediment fall velcoty. These results are based on a least-squares fit of Equation to measured beach profiles
  • #45 Slide 46 Figure presents an expanded version of the A versus D relationship for grain sizes more typical of beach sands
  • #46 Slide 47 The table provides a tabulation of A values over the size range D= 0.10 mm to D= 1.09 mm. If you need to get the A value for a sediment diameter of 0.45 mm, refer the row corresponding to 0.4 mm and column 0.05 mm and pick up the value at the intersection of the corresponding row and column. A value for 0.45 mm diameter sediment is 0.153 m 1/3
  • #47 Slide 48 The most simple application is the calculation of equilibrium beach profiles for various grain sizes, assumed uniform across the profile. Lets try to determine the EBF for the sediment grain sizes of 0.3 mm and 0.66 mm. From Figure in slide 46 and/or Table in slide 47, the associated A values are 0.125 m 1/3 and 0.18 m 1/3 Then using equation profiles can be plotted.
  • #48 Slide 49 Plotted equilibrium beach profiles for sediment sizes 0.3 mm and 0.66 mm are shown in the slide. The profile composed of the coarser sand is considerably steeper than that for the finer material.
  • #49 Slide 50 In the design of beach nourishment projects, it is important to estimate the dry beach width ∆y after profile equilibration The seaward limit of effective profile fluctuation over long-term (seasonal or multi-year) time scales is a useful engineering concept and is referred to as the “closure depth,” denoted by hc.
  • #50 Slide 51 Three types of nourished profiles are possible, depending on the volumes of sand added and on whether the nourishment is coarser or finer than that originally present sand on the beach. These profiles are Intersecting, Nonintersecting and Submerged
  • #51 Slide 52 It can be shown that an intersecting profile requires the added sand to be coarser than the native sand, although this condition does not guarantee intersecting profiles, since the intersection may be at a depth in excess of the depth of closure. Nonintersecting or submerged profiles always occur if the sediment is of the same diameter or finer than the native sand.
  • #52 Slide 53 Dimensional analysis can be used to investigate the conditions of profile type occurrence and other quantitative aspects. Such dimensionless groups and relevant details are explained in the slide.
  • #53 Slide 54 Dimensionless width is a function of native sediment scale parameter and given in the slide.
  • #54 Slide 55 The non-dimensional equilibrium dry beach width can be presented in terms of three non-dimensional quantities as shown in the slide. Intersecting and non intersecting profiles can be delineated using the shown inequality.
  • #55 Slide 56 The critical volume of sand in deciding the intersecting and non intersecting beach profiles can be determined using the shown equation under given constraints.
  • #56 Slide 57 The critical volume of sand that will just yield a finite shoreline displacement and non dimensional volume required for a beach advancement under intersecting profile conditions, can be calculated from the equations shown.
  • #65 Slide 66 Once these values are determined you can plot the natural profile and filled profile under the same axis using the equation 1. You can mark the other corresponding parameters as well in the same diagram. Keep in the mind that you have to draw this in to suitable scale. Using the graph water depth and the offshore distance to the point of intersection can be determined. According to the graphs drawn h=6.25 m and y=495 m