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![Page 1: 1 Experiments on subaqueous mass transport with variable sand-clay ratio Fabio De Blasio Trygve Ilstad Anders Elverhøi Dieter Issler Carl B. Harbitz International.](https://reader036.fdocuments.us/reader036/viewer/2022062515/56649d1a5503460f949ef4e4/html5/thumbnails/1.jpg)
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Experiments on subaqueous mass transport with variable sand-clay ratio
Fabio De Blasio Trygve Ilstad
Anders ElverhøiDieter Issler
Carl B. Harbitz
International Centre for GeohazardsNorwegian Geotechnical Institute, Norway
Dep. of Geosciences, University of Oslo, Norway..
In cooperation with the SAFL group, University of Minnesota
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Debris flow
How can we explain that 10 - 1000 km3 of sediments can
• move100 - > 200 km• on < 1 degree slopes• at high velocities ( -20 - > 60 km/h)
Basic problem!
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Inferring the dynamics of subaqueous debris flow
• Field observations (long runout, outrunner blocks, geometry of sandy bodies, velocity...)
• Experiments:– (Experiments +Numerical modeling) × Extrapolation Field
– composition change
• Physical understanding and numerical simulation
• Important application:– Emplacement of massive sand in deep water– Offshore geohazards
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Experimental settingsSt. Anthony Falls Laboratory
10 m
turbidity current
debris flow
6° slope
Experimental Flume: “Fish Tank”
Video (regular and high speed) and
pore- and total pressure measurements
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Runout distance in laboratorySame: GSD, % Water, Discharge, Volume
0
0.2
0.4
0.6
0.8
1
0 2 4 6 8
Horizontal Distance (m)
Ele
va
tio
n (
m)
Subaerial
Subaqueous
0.6
0.8
How to explain the various styles of run out!
Subaerial Short and thick
Subaqueous Thin and long
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High clay content – video record
Turbidity current
Hydroplaning debris flow
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High speed video record (250 frames/sec)
Flow behavior - High clay content ( 30 % kaolinite)
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Low clay content – video record
Turbidity current
Dense flow
Deposition of sand
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Debris flows- low clay content (5%)
Turbulent front Deposition of sand
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High clay content-- Plug flow- “Bingham”
High sand content-Macro-viscous flow?-Divergent flow in the shear layer
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Thickness of sandy deposits – versus clay content
0 3 6 9
0
1
2
3
10 wt% clay
5 wt% clay
15 wt% clay
Dep
ositi
on h
eigh
t (cm
)
Time (s)
Deposition Dense flow Turbidity current
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Pressure interpretation
Flow
Flow
Pressure
Time
Pressure
Time
Pore pressure
Total pressure
Grains in constant contact with bed
Rigid block over a fluid layer
Total pressure
Flow
Pore pressurePressure
Time
Fluidized flow
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Pressure measurements at the base of a debris flow as pressure develops during the flow
Low clay content High clay content
Total pressure
Hydrostatic pressure
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High clay content viscoplastic/hydroplaning/lubrication
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Material from the base of the debris flow is eroded and incorporated into the lubricating layer.
L1
L2
Ls
H1
H2Hs
Downslope gravitational forces
Bottom shear stresses
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Neglected physics:• Changing tension due to slope and velocity
changes• Friction, drag and inertial forces on neck• Changes in material parameters of neck due to
– shear thinning, accumulated strain and wetting, crack formation
More sophisticated treatment is possible Coupled nonlinear equations, use a numerical modelMain difficulty is quantitative treatment of crack
formation and wetting and lubricating effects
Detachment/stretching dynamics
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Clay rich sediments
• Visco-plastic materials
• Model approach:– ”Classical Bingham fluid” (“BING”)
– R-BING: Remolding of the sediment during the flow
– H-BING: Hydroplaning/Lubricating
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Velocity profile of debris flows Bingham fluid
Plug layer
Shear layer
•Classical Bingham fluid:•Yield strength: constant during flow
•Bingham fluid – with remolding (R-BING):
•The yield strength is allowed to vary during flow
Plug layer
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Water film/lubricating layer shear stress reduction in a Bingham fluid
Water, w, w, uw
Mudm, m, um
Lid(Debris flow)
=1=1-
u=1
Shear layer
Plug layer
1+
R(1+)/
1
1+
1
1
1-
u(R-)/
1
1u
1
1-
Velocity Shear stress
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Simulation: final deposit of the large-scale Storegga
Initial deposits
Present deposits
= 10 kPa
= 10 kPa with remoulding to 0,5 kPa
= 10 kPa with remoulding to 0,1 kPa
= 5 kPa with hydroplaning
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What happens during flow at low clay content?
• 1) disintegration of the mass: the yield stress drops dramatically
• 2) settling and sand stratification within few seconds
y k exp C
solid fraction in the slurry
dependent on the clay content
Reference solid fraction
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Low clay content Turbulence, disintegration, layering
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Existing models adapted to low clay debris flows: e.g.: NIS model
• Mud with plug and shear layers– plasticity, viscosity, and visco-elasticity
• dry friction (no cohesion in code)• dynamic shear (thinning)• dispersive pressure
r
xexy
r
xuey
r
xuex
dy
ydvmpc
dy
ydvpp
dy
ydvpp
)(tan
)(
)()(
2
21
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Iverson- Dellinger model
• Depth integrated, three-dimensional model • Accounts for the exchange of fluid between
different parts of the slurry due to diffusion and advection.
• Limitations for our purpose: water content of the slurry must not change, no cohesion, no turbulence
2
2
p ' p ' p ' p 'u v
t x z y
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In short: high clay debris flows
• Viscoplastic behaviour • Vertically quasi-homogeneous• Hydroplaning/lubrication• Dynamical forces important• The material remains compact• Front detachment/outrunner block• Modeling: rheological flow,
– Modified “BING” • THEY ARE VERY MOBILE BECAUSE OF
LUBRICATION
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In short: low clay debris flows
• Granular + turbulent behaviour • Settling and vertical layering (“Brazil Nut Effect” )• Lubrication only at the very beginning • The material breaks up catastrophically• Blocks do not form• Modeling: Fluid dynamics + granular • THEY ARE VERY MOBILE BECAUSE OF
DRAMATIC DROP IN YIELD STRESS AND FLUIDISATION IN THE SAND LAYER
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Conclusions
• Slurries with a high clay content:– transported over long distances preserving the initial
composition
• Slurries with low clay content:– sandy materials may drop out during flow, alternatively
being transformed into turbidity currents
• Flow behavior:– Strongly influenced by the amount of clay versus sand
in the initial slurry
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Iverson-Dellinger model
• the Coulomb frictional force (diminished of the water pressure at the base of the debris flow),
• the fluid viscous shear stress, • the earth-pressure force (namely, the lateral forces
generated in the debris flow due to differences in the lateral pressure),
• the earth-pressure contribution of the bed pressure, • a diffusive term of water escaping from the bottom,• an earth-pressure term along the lateral (z) direction,• the diffusive term of water along the lateral direction, and
finally • the pressure at the base of the debris flow.
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Conclusions
• At high clay content:– a thin water layer intrudes underneath the front part =
lubrication!– progressive detachment of the head – the thin water underneath the head is a supply for water at the
base of the flow– a shear wetted basal layer with decreased yield strength is
formed
• At low clay content: – water entrainment at the head of the mass flow – low slurry yield stress = particles settlement and continuous
deposition – a wedge thickening depositional layer is developed some
distance behind the head – viscous effects in the diluted flow, Coulomb frictional behavior
within the dense flow. High pore pressures → near liquefaction.
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Dispersive pressure
• When solid particles are present
• Particles forced apart
• Ability to move large particles
– proportional to square of the particle size for given
shear rate (Bagnold, 1954)
– larger particles forced towards area of least shear
(up and front)
• Further research required
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Velocity profile of debris flows Bingham fluid
shear stress
yield strength
dynamic viscosity
shear rate
y
uy
Plug layer
Shear layer
Yield strength: constant during flow
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Water film shear stress reduction in a Bingham fluid
Water, w, w, uw
Mudm, m, um
Lid(Debris flow)
=1=1-
u=1
Shear layer
Plug layer
1+
R(1+)/
1
1+
1
1
1-
u(R-)/
1
1u
1
1-
Velocity Shear stress
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Debris flows- high clay content
A: 32.5 wt% clay, hydroplaning front Dilute turbidity current
B: 25 wt% clay hydroplaning front D: Behind the head, increasing concentration in overlying turbidity current
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Debris flows- low clay content (5%)
Turbulent front Deposition of sand