coast line changing evolution after coastal structure construction
Exploring the morphodynamic response of coastal …...Stutz and Pilkey, 2001, J. Coastal. Res. Upper...
Transcript of Exploring the morphodynamic response of coastal …...Stutz and Pilkey, 2001, J. Coastal. Res. Upper...
Exploring the morphodynamic response of coastal barriers to sea‐level rise along the Texas Gulf Coast
Swanson, T.1, Lorenzo‐Trueba, J.2, Anderson, J.1, Nittrouer, J.11Rice University 2Montclair State University
Image: Google Earth160 km 1
Colorado School of MinesThursday September 20th 2018
México Texas
Texas
Louisiana
Texas coastal communities benefit from:
Over 80% coverage from coastal barriersacross a coastline which spans 590 km!
Upper Coast
Lower Coast2
México Texas
Texas
Louisiana
Texas coastal communities benefit from:
Over 80% coverage from coastal barriersacross a coastline which spans 590 km!
Upper Coast
Lower Coast
BarrierNon‐barrier
160 km
3
The global coast has ~7% coverage too!Stutz and Pilkey, 2001, J. Coastal. Res.
Upper Coast
Lower Coast
160 km
1Ortiz and Ashton (2016), 2Paine et al (2016)
BrazosDelta
Colorado River
Río Grande
Texas Coast: VITAL STATISTICSTidal range < 1m
Sig. Wave 0.9 to 2.1 m @ SE direction
Shoreline disp.2 p10, p50, p90: ‐4.6, ‐0.9, 1.6 m yr‐1
RSLR 2 to 6 mm yr‐1
Barrier Height <1 m to >5 m
Barrier Width <300 m to >8000 m
4
Upper Coast
Lower Coast
Follets Island
Mustang Island
North Padre Island
Three key regions of interest:1) Follets Island 2) Mustang Island 3) North Padre Island
160 km
Paine et al, 20165
Upper Coast
Lower Coast
Follets Island
Mustang Island
North Padre Island
160 km
Paine et al, 20166
4 km
Three key regions of interest:Follets Island: sensitive canary
• Flanks a major deltaic headland• Retreating landward > 2m yr‐1• Low, narrow
Mustang Island: stable and stout• updrift of “longshore convergence zone”• Retreating landward < 1m yr‐1• Tall, wide
North Padre Island: modestly prograding• Within “longshore convergence zone”• Slightly prograding 0.03 m yr‐1• Very tall and wide
Image: Google Earth
Follets Island
Upper Coast
Lower Coast
Follets Island
Mustang Island
North Padre Island
160 km
Paine et al, 20167
7.5 km
Three key regions of interest:Follets Island: sensitive canary
• Flanks a major deltaic headland• Retreating landward > 2m yr‐1• Low, narrow
Mustang Island: stable and stout• updrift of “longshore convergence zone”• Retreating landward < 1m yr‐1• Tall, wide
North Padre Island: modestly prograding• Within “longshore convergence zone”• Slightly prograding 0.03 m yr‐1• Very tall and wide
Image: Google Earth
Mustang Island
Upper Coast
Lower Coast
Follets Island
Mustang Island
North Padre Island
160 km
Paine et al, 20168
7.5 km
Three key regions of interest:Follets Island: sensitive canary
• Flanks a major deltaic headland• Retreating landward > 2m yr‐1• Low, narrow
Mustang Island: stable and stout• updrift of “longshore convergence zone”• Retreating landward < 1m yr‐1• Tall, wide
North Padre Island: modestly prograding• Within “longshore convergence zone”• Slightly prograding 0.03 m yr‐1• Very tall and wide
Image: Google Earth
North Padre Island
México Texas
Texas
Louisiana
Texas coastal communities benefit from:
Over 80% coverage from coastal barriersforming a coastline which spans 590 km!
Upper Coast
Lower Coast
BarrierNon‐barrier
160 km
9
Big question: What is the long‐term trajectory of Texas’ coastal barriers?
México Texas
Texas
Louisiana
Texas coastal communities benefit from:
Over 80% coverage from coastal barriersforming a coastline which spans 590 km!
Upper Coast
Lower Coast
BarrierNon‐barrier
160 km
10
https://coast.noaa.gov/slr/
+1.8 m
MHHW
+0.9 m
Example: “bath tub” model of Follets Is., TX
Communicating coastal change:
Extrapolation from historical rates andInundation (bath tub) models:
are dangerously inadequate!
Coastal barriers are dynamic landforms:→ rarely drown in place!
barriers respond to SLR→extrapolation!
SLR is accelerating
Benefit: Very easy to understand and communicate
México Texas
Texas
Louisiana
Texas coastal communities benefit from:
Over 80% coverage from coastal barriersforming a coastline which spans 590 km!
Upper Coast
Lower Coast
BarrierNon‐barrier
160 km
11
Big question: What is the long‐term trajectory of Texas’ coastal barriers?
Reasonable response:Use a process‐basedmodel to estimate barrier response to anticipated sea‐level rise along the Texas coast.
Reduced / intermediate complexity modeling:
Barrier morphology
Surface Processes
Sea‐level rise
Task: simplify Texas’ coastal barrier morphology into characteristic scales and physical processes into parameterized expressions which resolve fundamental barrier responses to sea‐level rise
Dynamicinteractions!
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4 km
Follets Island
Reducing a barrier to characteristic scales
Gulf of Mexico
Bay
Reducing a barrier to characteristic scales
Lorenzo‐Trubea and Ashton (2014)
Coastal plain
Conceptual figure: high vertical exaggeration!14
Reducing a barrier to characteristic scales
Lorenzo‐Trubea and Ashton (2014)
Coastal plain
Conceptual figure: high vertical exaggeration!15
What is closure depth, Dc?
Deep water waves
𝐷
swashBeach
Cross‐shore distance
Elevation
Waves “feel bottom”, steepen & break
Wave energy decreases with depth.
As waves shoal (enter shallow water), beyond 𝐷 , waves move sediment
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Galveston: fair weather waves
Galveston: not‐so‐fair weather waves
Hurricane Ike, 2008
Closure depth, Dc@ 500 yr timescale
Upper coast Lower coast
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Local significant wave class
*morphologically significant
Significant* wave class:
Ortiz and Ashton, JGR Earth Surface, 2016
Upper coast Lower coast
Lorenzo‐Trueba and Ashton (2014), Ashton and Lorenzo‐Trueba (2015)
Reduced complexity process representation in Barrier Sections:
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2) Shoreface sediment fluxes:1) Passive flooding during RLSR:
3) Net longshore sediment flux 4) Overwash sediment transport
Conceptual figure: high vertical exaggeration!
Note: every single process terminates at 𝐷 !
Lorenzo‐Trueba and Ashton (2014), Ashton and Lorenzo‐Trueba (2015), Swanson et al., (in prep.)
Reduced complexity process representation in Barrier Sections:
1) Passive flooding during relative sea‐level rise:
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Passive flooding drives:
1) Inundation of barrier (↓ H)2) Depth of closure (Dc) translates3) Barrier shoreface steepens (↑ 𝛼 )
Conceptual figure: high vertical exaggeration!
Relative sea‐level rise (RSLR) is spatially variable, and includes local subsidence.
Lorenzo‐Trueba and Ashton (2014), Ashton and Lorenzo‐Trueba (2015)
Reduced complexity process representation in Barrier Sections:
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2) Shoreface sediment fluxes:
Example: under‐steepened shoreface = onshore fluxUnder‐steepened (𝛼 < 𝛼 )
Onshore directed sediment flux
Over‐steepened (𝛼 > 𝛼 )Offshore directed sediment flux
Local wave climate drives shoreface toward equilibrium slope:
𝑄 𝑘 𝛼 𝑎
𝐾 ~ wave energy
grainsize
If wave climate is unchanging, shorefaces trend toward“equilibrium profiles”, which have slopes that dependon wave energy and grainsize.
Cross‐shore fluxes attempt to maintain an equilibrium slope!
Equilibrium slope
Shoreface response rate
Upp
er coa
st
Lower coa
st
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~ 120 𝜇𝑚
Central
~ 150 𝜇𝑚
Lower coast
~ 80 𝜇𝑚
Upper coast
Grainsize: always fine sand or finer!
Shoreface response rate
Swanson et al., in prep.
Abrupt wave climateIncrease, fine grain size
Significantly coarserbroader shorefacesimilar wave climate
Tranquil wave climateVery fine grained
Upper coast Lower coast
Local wave class
Lorenzo‐Trueba and Ashton (2014), Ashton and Lorenzo‐Trueba (2015)
Reduced complexity process representation in Barrier Sections:
3) Net longshore sediment flux
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Longshore sediment flux is assumed:1) Driven by:
a) shoreline curvatureb) wave height
2) remove subaerial barrier3) linear with shoreface depth4) vary significantly along the TX coast
Conceptual figure: high vertical exaggeration!
Lorenzo‐Trueba and Ashton (2014), Ashton and Lorenzo‐Trueba (2015)
Reduced complexity process representation in Barrier Sections:
3) Net longshore sediment flux
24Conceptual figure: high vertical exaggeration!
Net accumulation:Barrier shoreface steepens (↑ 𝛼 )→ Helps to prograde barrier
Net erosion:Barrier shoreface relaxes (↓ 𝛼 )→ Helps barrier retreat
Lorenzo‐Trueba and Ashton (2014), Ashton and Lorenzo‐Trueba (2015)
Reduced complexity process representation in Barrier Sections:
Equilibrium width (We) = 300 mEquilibrium height (He) = 2 m
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4) Overwash sediment transport
1 kmFollets Is.
1 kmS. Padre Is.
Overwash: a threshold process:if 𝐇 𝐇𝒆
Overwash aggrades barrierif 𝐖 𝐖𝒆
Overwash widens barrier
Modern transgressive barriers:
Conceptual figure: high vertical exaggeration!
Overwash attempts to maintain an equilibrium subaerial barrier volume!
𝑄 ~ 𝐻 𝐻 𝑊 𝑊 𝑊 𝐻
Lorenzo‐Trueba and Ashton (2014), Ashton and Lorenzo‐Trueba (2015)
Reduced complexity process representation in Barrier Sections:
Equilibrium width (We) = 300 mEquilibrium height (He) = 2 m
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4) Overwash sediment transport
1 kmFollets Is.
1 kmS. Padre Is.
Overwash: a threshold process:if 𝐇 𝐇𝒆
Overwash aggrades barrierif 𝐖 𝐖𝒆
Overwash widens barrier
Modern transgressive barriers:
Conceptual figure: high vertical exaggeration!
Overwash attempts to maintain an equilibrium subaerial barrier volume!
𝑄 ~ 𝐻 𝐻 𝑊 𝑊 𝑊 𝐻
Overwash is limited to be less than a maximum value: 𝑄 .
𝑄 is a very important GLOBAL parameter, so we will explore sensitivity in upcoming results. Reasonable values span 0 to 100 m2 yr‐1
Initial width: 2 kmInitial height: 3 mRSLR: 10 mm yr‐1
Height drowning:Gulf Bay
BarrierGulf / Bay
Antecedent
Gulf Bay
1) SLR increases 𝛼2) Drives offshore flux3) Height↓ and Width↓4) Overwash threshold broken
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Initial width: 350 mInitial height: 3 mRSLR: 2 mm yr‐1
Width drowning:
Barrier failure during sea‐level rise: Width drowning:shoreface response rate is too low to keep all sediment!
Height drowning:Maximum overwash 𝑄is too low to keep up with SLR!
4 km
Follets Island
Gulf of Mexico
Bay
Connecting coastal barrier sections:
Active shorefaceShoreline
Individual barrier sections have local morphodynamic parameters.
Barrier sections communicate via longshore sediment flux.
Swanson et al., in prep., Ashton and Lorenzo‐Trueba (2015), Ashton and Lorenzo‐Trueba (2018)
Boundary conditions set by historical rates.
Connecting coastal barrier sections:
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Shelf
Coastal barrier (3D!)
Conceptual figure: high vertical exaggeration!
Active shoreface
Shoreline
Individual barrier sections have local morphodynamic parameters.
Barrier sections communicate via longshore sediment flux.
Ashton and Lorenzo‐Trueba (2015)
Boundary conditions set by historicalrates.
Connecting coastal barrier sections:
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Shelf
Big assumptions:1. Barrier sediment composition is sand2. Inlets/jetties allow longshore bypass3. Seawalls prevent shoreline displacement4. Wave climate is unchanging5. Fluvial contributions are steady6. No further human modification7. No geomorphic clearing events
Active shoreface
Shoreline
Individual barrier sections have local morphodynamic parameters.
Barrier sections communicate via longshore sediment flux.
Ashton and Lorenzo‐Trueba (2015)
Boundary conditions set by historicalrates.
Connecting coastal barrier sections:
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Shelf
Model execution:1. Initial condition: modern coast2. Timestep: 1 day3. Run time: 500 yr (or until barrier failure)4. EXPLORE!
1. Sea‐level rise (0 to 10 mm yr‐1)2. Maximum overwash (0 to 100 m2 yr‐1)
A sensitive canary of the coastUpdrift of major deltaic headland
Elevation (M
HHW)
Offshore Distance km
Sea‐level
Regionalmean profile
Follets Island
DcH = 1.7 mW = 610 m
A stout, stable barrier Updrift of “longshore convergence zone”
Offshore Distance km
Sea‐level
Mustang Island
Dc
H = 3.4 mW = 1700 m
Modestly progradingIn “longshore convergence zone”
Offshore Distance km
Sea‐level
North Padre Island
Dc
H = 3.9 mW = 2100 m
Post‐processing: Monitor three key regions
32Swanson et al., in prep.
Low, med., high cases:Low: SLR 3 mm yr‐1 , 𝑸𝒐𝒘𝐦𝐚𝐱 30 m2 yr‐1
→ Recent rates of SLR (eustatic) → Reasonable overwash given multi‐century record (Odezulu et al., 2018)
Medium: SLR 5 mm yr‐1 , 𝑸𝒐𝒘𝐦𝐚𝐱 50 m2 yr‐1→Upper limit of IPCC “500‐700 ppm” (~5 mm yr‐1 over 500 yr)→Overwash: reasonable given radiometrically derived overwash rates
(Odezulu, Anderson, and Swanson, In Prep)High: SLR 10 mm yr‐1 , 𝑸𝒐𝒘𝐦𝐚𝐱 = 100 m2 yr‐1
→ Upper‐estimate of IPCC “>700 ppm” (~13 mm yr‐1 over 500 yr)→ Unprecedented rates of overwash
Concept: higher rates of SLR correlate to higher rates of overwash
A sensitive canary of the coastUpdrift of major deltaic headland
Elevation (M
HHW)
Offshore Distance km
Sea‐level
Regionalmean profile
Follets Island
DcH = 1.7 mW = 610 m
A stout, stable barrier Updrift of “longshore convergence zone”
Offshore Distance km
Sea‐level
Mustang Island
Dc
H = 3.4 mW = 1700 m
Modestly progradingIn “longshore convergence zone”
Offshore Distance km
Sea‐level
North Padre Island
Dc
H = 3.9 mW = 2100 m
Post‐processing: Monitor three key regions
33Swanson et al., in prep.
34
Follets Island: Dip sections
Swanson et al., in prep.
Modified from Odezulu et al., 2018
Simplified interpreted core transect
Simulation stats:Low: 470 yr / ~ 1.3 m SLRMed. : 380 yr / ~1.9 m SLR High: 250 yr / ~2.5 m SLR
Low
Med.
High
Follets Island exhibits strong landward retreat (always!)
Gulf Bay
Follets Island: Low case
No overwash
retreatoverwash
landward
growing
shrinking
Swanson et al., in prep.
WidthEq. Width
HeightEq. Height
Longshorecum. Sed. Flux
Total overwashcum. Sed. Flux
1) Slow retreat, then accelerated retreat!Notable barrier responses:
2) Subaerial barrier shrinks, then stabilizes3) Constant overwash by height
Overwash by width by ~180 yrs.4) Strong retreat reduces longshore flux
Follets Island: Low and mid. cases
Swanson et al., in prep.
No overwash
retreatoverwash
landward
growing
shrinking
WidthEq. Width
HeightEq. Height
Low
Med.
1) Overwash by width at ~ 170 yrs2) Faster and further retreat
Notable barrier responses:
Longshorecum. Sed. Flux
Total overwashcum. Sed. Flux
Follets Island: Low, mid., and high cases
No overwash
retreat
overwash
landward
growing
shrinking
Swanson et al., in prep.
WidthEq. Width
HeightEq. Height
Low
Med.High
1) Largest and fastest retreat2) Overwash by width at 100 yrs3) Strong retreat redirects longshore
transport.4) Increases in SLR and 𝑄
vastly accelerate barrier behavior!
Notable barrier responses:
Longshorecum. Sed. Flux
Total overwashcum. Sed. Flux
Follets Island: Mean annual rates of changeMean annual shoreline disp.
Swanson et al., in prep.
Extrapolation from historical records may severely under‐estimate responses!
p10 ~ ‐3.3 m yr‐1p50 ~‐2.5 m yr‐1p90 ~‐0.4 m yr‐1
Historical shoreline disp. rates:
Paine et al., JCR, 2016
39
Mustang Island: Dip sections
Forward modeled dip section
Swanson et al., in prep.
Modified from Rodriguez et al., 2001, Sedimentology
Simplified interpreted OFFSHORE core transectLow
Med.
High
Mustang exhibits significant progradation on marine deposits→ History of retreat recreated by high SLR and overwash rates
Gulf Bay
Simulation stats:Low: 470 yr / ~ 1.3 m SLRMed. : 380 yr / ~1.9 m SLR High: 250 yr / ~2.5 m SLR
No overwash
overwash
landward
Mustang Island: Low case
Swanson et al., in prep.
progradation
shrinking
WidthEq. Width
HeightEq. Height
1) Fast progradation, then slower!Notable barrier responses:
2) Subaerial barrier shrinks, then stabilizes3) Overwash by height by ~ 300 yrs4) Overwash slows progradation +
stabilizes barrier vol.
Longshorecum. Sed. Flux
Total overwashcum. Sed. Flux
No overwash
overwash
landward
Mustang Island: Low and mid. cases
retreat
shrinking
WidthEq. Width
HeightEq. Height
Low
Med.
1) Overwash by height at 220 yrsNearly halts barrier progradation
Notable barrier responses:
Longshorecum. Sed. Flux
Total overwashcum. Sed. Flux
No overwash
retreat overwash
landward
shrinking
Mustang Island: Low, mid., and high cases
Swanson et al., in prep.
WidthEq. Width
HeightEq. Height
Low
Med.
High1) Overwash by height at 110 yrs
and high SLR causes a progradationalbarrier to retreat!
Notable barrier responses:
Longshorecum. Sed. Flux
Total overwashcum. Sed. Flux
Mustang Island: Mean annual rates of changeMean annual shoreline disp.
Swanson et al., in prep.
Although progradation has occurred for ~ 500 yrs within the central Texas region, this isn’t reflected in shoreline surveys
p10 ~ ‐1.2 m yr‐1p50 ~‐0.5 m yr‐1p90 ~ 0.5 m yr‐1
Historical shoreline disp. rates:
Paine et al., JCR, 2016
44
N. Padre Island: dip sections
Swanson et al., in prep.
Modified from Rodriguez et al., 2001, Sedimentology
Simplified interpreted OFFSHORE core transectLow
Med.
High
Like Mustang, N. Padre exhibits significant progradation→ History of retreat recreated by high SLR and overwash rates
Gulf Bay
Simulation stats:Low: 470 yr / ~ 1.3 m SLRMed. : 380 yr / ~1.9 m SLR High: 250 yr / ~2.5 m SLR
No overwash
overwash
landward
N. Padre Island: Low caseProg
rada
tion
shrinking
Swanson et al., in prep.
WidthEq. Width
HeightEq. Height
1) Fast progradation, then slower!Notable barrier responses:
2) Subaerial barrier shrinks, then stabilizes3) Overwash by height by ~ 425 yrs4) Overwash slows progradation +
stabilizes barrier vol.
Longshorecum. Sed. Flux
Total overwashcum. Sed. Flux
No overwash
overwash
landward
N. Padre Island: Low and mid. casesProg
rada
tion
shrinking
Swanson et al., in prep.
WidthEq. Width
HeightEq. Height
Low
Med.
1) Overwash by height at 310 yrsNearly halts barrier progradation
Notable barrier responses:
Longshorecum. Sed. Flux
Total overwashcum. Sed. Flux
No overwash
overwash
landward
N. Padre Island: Low, mid., and high casesProg
rada
tion
shrinking
Swanson et al., in prep.
WidthEq. Width
HeightEq. Height
Low
Med.
High 1) Overwash by height at 175 yrsand high SLR causes a transition:progradation to retreat!
Notable barrier responses:
Longshorecum. Sed. Flux
Total overwashcum. Sed. Flux
N. Padre Island: Mean annual rates of changeMean annual shoreline disp.
Swanson et al., in prep.
Although progradation has occurred for ~ 500 yr within the central Texas region, this isn’t reflected in shoreline surveys
p10 ~ ‐0.75 m yr‐1p50 ~‐0.03 m yr‐1p90 ~ 0.5 m yr‐1
Historical shoreline disp. rates:
Paine et al., JCR, 2016
𝑄 m2 yr‐1
SLR mm yr‐1
Failure mode
49
+’s indicate: min, med., and max scenarios
When, how, and where do barriers fail?
Swanson et al., in prep.
𝑄 m2 yr‐1
SLR mm yr‐1
Time to failure yr
𝑄 m2 yr‐1
SLR mm yr‐1
Failure location
No failure
Height drowning
Width drowning No failure
Upper Galveston
Matagorda Peninsula
LowerGalveston
Follets Island
Time to failure*
50Swanson et al., in prep.
𝑄 m2 yr‐1
SLR mm yr‐1
No failure
Upper Galveston
Matagorda Peninsula
LowerGalveston
Follets Island
Where do barriers fail?
Clustering of failures: The upper Texas coast Low barriers of various widthLow response rate (K)
51Swanson et al., in prep.
𝑄 m2 yr‐1
SLR mm yr‐1
Matagorda Peninsula
Matagord Peninsula: Failure by width‐drowning1) minimal input from Colorado/Brazos2) Within low 𝑄 :
Width reduction by:1)Longshore transport2)Overwash due to low H
Why do barriers fail?
52Swanson et al., in prep.
𝑄 m2 yr‐1
SLR mm yr‐1Upper
Galveston
Why do barriers fail?
Upper Galveston: Failure by height‐drowning1) No fluvial source2) Wide (~2.2 km), Low (~2.2 m)3) low overwash rates cannot keep up with:
RSLR (subsidence = 3.4 mm yr‐1)
𝑄 m2 yr‐1
SLR mm yr‐1
53
Why do barriers fail?
Swanson et al., in prep.
Follets Island – Height drowning
Failure by width‐drowning1) low H (~1.7 m), modest width (~ 0.6 km)2) low shoreface response rate (K)
Sediment loss to the shelf during SLR!
Follets Island – Width drowning
Follets Is.: Failure by height‐drowning1) low H (~1.7 m), modest width (~ 0.6 km)2) low overwash rates cannot keep up with:
RSLR (subsidence = 1.2 mm yr‐1)
𝑄 m2 yr‐1
SLR mm yr‐1
54
Why do barriers fail?
Swanson et al., in prep.
LowerGalveston
Lower Galveston: Failure by width‐drowning1) Follets retreats into Christmas Bay2) too wide (~1.2 km) to retreat3) relative change in shoreline position
→ drives longshore fluxes to Follets
Lower Galveston
Conceptual summary3 Overwash is sourced from shoreface
1) retreat rates increase2) progradation rates decrease3) barrier volume stabilizes
Sea‐level increasesBarrier scales diminish
1
Overwash becomes frequent2
55
Longshore transport system is modified4
Map viewx
y
Retreating barriers:
Swanson et al., in prep.
Conceptual summary3 Overwash is sourced from shoreface
1) retreat rates increase2) progradation rates decrease3) barrier volume stabilizes
Sea‐level increasesBarrier scales diminish
1
Overwash becomes frequent2
56
Longshore transport system is modified4
Map viewx
y
Prograding barriers:
Swanson et al., in prep.
Conclusions:• Texas’ long‐term barrier trajectory is set by initial scales and location within Texas’ longshore transport system
• Range of forecasts capture:• Historical behavior• late Holocene architecture
• Barrier responses to sea‐level rise modify longshore transport• Future work:• Use coastal barrier model to forward model: • stratigraphic architecture (constrain shoreline controls)
• Open‐source‐it! Open framework for coastal barriers
57
Conclusions:• Texas’ long‐term barrier trajectory is set by initial scales and location within Texas’ longshore transport system
• Range of forecasts capture:• historical behavior• late Holocene architecture
• Barrier responses to sea‐level rise modify longshore transport• Future work:• Use coastal barrier model to forward model • stratigraphic architecture (constrain shoreline controls)
• Open‐source‐it! Open framework for coastal barrier modeling
58
Thank you!A special thanks to Dr. Hongbo Ma! (Rice U.)
59
Thank you!
60
Download this presentation @www.tswanson.net
A special thanks to Dr. Hongbo Ma! (Rice U.)
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