AOSS 605 (004)
The “Shallow Ice
e Approximation”
AOSS 605 (004)
The “Shallow Ice
e Approximation”
AOSS 605 (004)
The “Shallow Ice
e Approximation”
AOSS 605 (004)
The “Shallow Ice
e Approximation”
AOSS 605 (004)
The “Shallow Ice
e Approximation”
AOSS 605 (004)
The “Shallow Ice
e Approximation”
AOSS 605 (004)
The “Shallow Ice
e Approximation”
AOSS 605 (004)
The “Shallow Ice
e Approximation”
AOSS 605 (004)
The Veloc
city Field
AOSS 605 (004)
The Veloc
Non-Newtonian Rheology:
city Field
AOSS 605 (004)
The Veloc
Non-Newtonian Rheology:
Plastic Rheology:
Shear st
bed is co
city Field
tress at the
onstant
AOSS 605 (004)
Thickness profile of
Plastic Rheology:
Shear stre
bed is con
f a plastic ice sheet
ess at the
nstant
AOSS 605 (004)
Thickness profile of
Plastic Rheology:
Shear stre
bed is con
What does a plastic ice sheet look
f a plastic ice sheet
ess at the
nstant
k like?
AOSS 605 (004)
Thickness profile of
Plastic Rheology:
Shear stre
bed is con
What does a plastic ice sheet look
Thickness decreases towards the
f a plastic ice sheet
ess at the
nstant
k like?
e margins
AOSS 605 (004)
Thickness profile of
Plastic Rheology:
Shear stre
bed is con
What does a plastic ice sheet look
Thickness decreases towards the
Implies surface slope must increa
f a plastic ice sheet
ess at the
nstant
k like?
e margins
ase
AOSS 605 (004)
Thickness profile of
Plastic Rheology:
On a flat bed:
f a plastic ice sheet
AOSS 605 (004)
Thickness profile of
Plastic Rheology:
On a flat bed:
f a plastic ice sheet
AOSS 605 (004)
Thickness profile of
Plastic Rheology:
On a flat bed:
x=0-i
x=L-i
Integrate from x’= L to x’ = x
f a plastic ice sheet
ice margin
ice divide
AOSS 605 (004)
Thickness profile of
Plastic Rheology:
On a flat bed:
x=0-i
x=L-i
Integrate from x’= L to x’ = x
f a plastic ice sheet
ice margin
ice divide
AOSS 605 (004)
Thickness profile of
Plastic Rheology: If th
On a flat bed:
x=0-i
x=L-i
Integrate from x’= L to x’ = x
f a plastic ice sheet
he ice sheet is symmetric we have:
ice margin
ice divide
AOSS 605 (004)
What does
Div
Thickness Margin
D
it look like?
vide
Margin
Distance
AOSS 605 (004)
Thickness profile of
If the ice sheet is symmetric we ha
Thickness is independent of acc
Thickness only depends on lengt
f a plastic ice sheet
ave:
cumulation and abalation?
th of the ice sheet/glacier?
AOSS 605 (004)
Climate and Gla
Define ice sheet bed:
Define balance rate:
aciers Revisited
AOSS 605 (004)
Climate and Gla
Define ice sheet bed:
Define balance rate: The e
aciers Revisited
equilibrium line elevation
AOSS 605 (004)
Climate and Gla
Define ice sheet bed:
Define balance rate: The e
1
0.8
0.6
0.4
0.2
00 1 2 3 4 5 6
aciers Revisited
equilibrium line elevation
E
7 8 9 10
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Thickness profile of a plastic ice sheet AOSS 605 (004) Plastic Rheology: Shear stress at the bed is constant What does a plastic ice sheet look like?
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