6 - Glacial Processes Flashcards

(275 cards)

1
Q

3 ways of measuring glaciers

A

glaciological, geodetic, gravimetric

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Three approaches to calculating past
contributions of glaciers & ice caps to
sea level

A

Statistical area-weighted
extrapolations of locally- or
regionally-derived glaciological &
geodetic data over most glaciers on
earth

Geodetic approach only, using repeat
DEMs from ASTER satellite

Gravimetric approach using GRACE
data

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

DEM stands for

A

digital elevation model

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

4 essential ingredients of a model

A
  • A spatial domain to run your model. Do you want to model conditions at
    a single point? Or investigate two-dimensional spatial patterns?
  • A Mathematical description of the system – either empirical (i.e., derived
    from data), or based on physical principles (e.g., Newton’s Laws).
  • Suitable inputs. For glacier mass balance, we need meteorological data
    (e.g., precipitation & temperature) to calculate accumulation & ablation.

Real-world observations to calibrate &
validate the mode

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

3 main options for spatial domain of glacier model

A

0 dimensional applications that treat glaciers as a single bulk entity

1 dimensional applications that split glaciers into a series of bulk elevation bands

2 dimensional applications that are fully spatially distributed

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

equation for SMB

A

Bn = c + a + R

where c is accumulation, a is ablation (defined negatively), R is refreezing

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

three main types of glacier mass balance model

A
  • Degree Day (also known as temperature index) models
  • Energy Balance (also known as physically-based) models
  • Hybrid (also known as enhanced degree day / temperature index) models
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

+ves and -ives of degree day model

A

Advantages

  • Quick & easy
  • Only requires air temperature as input - easy to apply in data sparse,
    remote regions
  • Good for predicting melt in future if future air temperatures modelled
    well

Disadvantages
* Model is empirical - extrapolating over space & time is uncertain
* Not physically-based - offers limited insight into processes
* Limited information on spatial patterns across glacier, or temporal
information at sub-seasonal scales.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

+ves and -ves of energy balance model

A

Advantages

  • Physically-based – offers good insight into the processes occurring
  • Good for investigating spatial patterns, and short, sub-daily, time periods
  • Does not depend on empirical relations, so easy to apply to other
    glaciers & different time periods

Disadvantages

  • Computationally expensive
  • Requires many meteorological inputs so application often limited to
    locations with lots of observations
  • Arguably less useful for future predictions where some of the climate
    drivers, e.g. cloudiness, humidity, wind speeds are less well predicted
    than, e.g. air temperature
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Advantages & Disadvantages of Hybrid Models

A
  • Account for spatial patterns
  • Variant 1 requires no extra field measurements; Variant 2 requires Gs measurements
  • Depends on empirical relations, so not easy to apply to other glaciers & time periods
  • More computationally expensive than classic DD method but less than EB approach
  • Variant 1 could be useful for future predictions
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

outline the maths behind c (accumulation)

A

Precipitation usually treated as
linear function of elevation
* Air temperature threshold (e.g. 1oC)
used to distinguish between snow or
rain
* Works well on a glacier-average
scale over whole summers
* Works less well at smaller spatial
and temporal scales
* Does not account for local
topographic features or snow
redistribution by wind.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

outline the traditional approach to monitoring meteorological inputs to glaciers

A

Automatic weather station (AWS) on
or near glacier.
* Meteorological variables then
extrapolated over the DEM.
* e.g. temperature assuming a
standard atmospheric lapse rate (6.5
˚C per km).
* e.g. precipitation assuming
regionally measured gradient.
* BUT… most glaciers are in remote
locations & so it is often difficult to get
local measurements.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q
A
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

outline the new approach ~(last 20 years ) to monitoring meteorological inputs to glaciers

A

Climate reanalysis (e.g. ERA-40, ERA
Interim, ERA 20C, JRA55, NOAA 20CR).
* Produced by ‘reanalysing’ observations
using a weather/climate model.
* Global fields of meteorological variables
(e.g., temperature, precipitation) on a
moderate resolution grid (typically 1
degree lat./long.). So we can model any
glacier!
* BUT… reanalyses are produced using
models so are subject to uncertainty (e.g.
biases)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

outline some parameters that must be estimated that are used in a model

A
  • DDFs for snow and ice (for a DD model) * snow and ice albedo (for an EB model) * temperature lapse rate
  • precipitation gradient
  • threshold temperature for rain / snow
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

what is calibration

A

we adjust uncertain model parameters so model output agrees
well with real-world observations

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

what is validation

A

we test our calibrated model to see how well it performs against real-world observations.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

what do we do if we do not have have measurements of parameters

A

we have to
calibrate (or ‘tune’ or ‘optimize’) them.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

what does DD model stand for

A

degree day

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

what is DDF stand for

A

degree day factor

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

outline the work of Orleans and Fortune 1992

A
  • Applied energy balance model to 12 glaciers around the world
  • Examined sensitivity to a 1 ̊C increase in air temperature.

Key conclusion:

Maritime glaciers are more sensitive to air temperature changes than continental glaciers..

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

why are Maritime glaciers are more sensitive to air temperature changes than continental glaciers..

A

relationship between temperature & melt is exponential. So perturbing temperature has greater impact in warmer maritime regions.

  • More precipitation will fall as rain in warmer maritime regions compared to sub- zero continental regions
  • A positive feedback loop: melting lowers albedo, which increases melting
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

what is perturbing temperature

A

term used to describe a departure from the regular flow of atmospheric currents

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

outline hock et al 2007

A

compared 5 models of varying complexity ( 3 DD and 2 EB).

Applies to Storglaciaren, calibrated using ERA 40 reanalysis

used regional climate model output to predict MB up to 2100

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
26
how are models used to calculate global glacier MB
we first calibrate for a few glaciers where measurements have been made.
27
outline why glacier hydrology is important
* Glaciers are a natural reservoir, storing water in high precipitation, cold years; releasing it in low precipitation, warm years. * Glacier hydrology modulates effects of surface melting on stream runoff. * Controls quantity and quality (sediment, chemistry) of water in glacier-fed streams. * May increase risk of flooding – ‘jökulhlaups’, Glacier Outburst Floods (GLOFs). * Implications for water resource management. * Controls spatial & temporal distribution of water pressure beneath glaciers, & therefore glacier movement (sliding/sediment deformation).
28
3 types of hydrology
supraglacials, englacial and subglacial hydrology
29
what is a moulin
an erosional feature which occurs on the surface of a glacier. formed by erosion by meltwater, creating circular inlet down that meltwater can enter the body of the glacier
30
what is a crevasse and how does it form
deep crack that forms due to movement and resulting stress of the moving ice
31
what does TDR stand for
time domain reflectrometry
32
how does TDR work
probes are installed in snow in the accumulation area they measure two way travel time through the snow of EM waves - this time is affected by the water content of snow when EM pulse encounters a change in material properties (such as boundary between ice and water) part of the signal reflects back to surface. time delay is measured to determine distance to and nature of material change
33
where does the majority of englacial water flow
in small pipes or larger conduits fed by crevasses / moulins
34
what is glacio speleology
study of caves/cave like structures within glaciers
35
3 ways englacial passages form and cite
1. incision of surface streams or base of crevasse followed by roof closure 2. hydrologically driven ice fracturing 3. exploitation of pre existing permeable structures within the ice gulley et al 2009
36
outline shreves theory and the equation
theoretical direction of water flow calculated by considering hydraulic potential throughout ice this is the sum of gravitational potential (height above sea level) + pressure potential (overburden pressure).
37
what is a conduit
a passageway within which water flows
38
if snowpack is isothermal, what does this mean
it is uniform, at 0 degrees C
39
how does snow melt
conduction, infiltration of water, refreezing and release of latent heat
40
what does K equal in shreeves theory
a fraction where 1 is when max pressure potential and 0 atmospheric pressure
41
when does subglacial drainage occur
wherever ice at a glacier bed reaches the pressure melting point
42
what is the pressure melting point
is when ice melts at a given pressure.
43
list some ways we learn of subglacial drainage characteristics
radio-echo sounding use of artificial tracers monitoring manipulation of conditions via boreholes monitoring runoff properties
44
4 main sources of subglacial water
surface, englacial and basal melt, subglacial meltwater
45
what determines the relative importance of the sources of subglacial meltwater
climatic regime at ice surface, temperature of glacier ice ice flow dynamics nature of glacier bed
46
why might basal Melt be the dominant source in antarctica
the surface temps never reach above the freezing point, but the ice temps reach pressure melting point near the glacier bed.
47
two main types of subglacial drainage system
distributed or slow channelised or fast
48
outline the different steady state discharge and effective pressure relationships
smaller fluxes can be stable in cavities, as it rises the effective pressure drops. inverse relationship between discharge and effective pressure more water going through increases water pressure - this causes cavities to become unstable, behave like channels, meaning water pressure drops, and effective pressure rises
49
what is the effective pressure
ice overburden pressure - water pressure
50
what is the relationship between steady state discharge and effective pressure
direct- as discharge increases the water pressure decreases as channels widen, leading to greater effective pressure
51
outline what happens to cavity system when water discharge is increased
* Water pressure will rise, due to piling water from above * this will increase sliding which increases cavity XSA * increase in WP means effective pressure falls, lowering the creep closure rate * however on net cavity has enlarged less than discharge did * as discharge is velocity times XSA and discharge went up more, velocity must have too * this raises water pressure
52
list the % of air in each layer of sintering
snow - 90% coarse grained snow - 50% firn - 20-30% glacial ice - 20% as bubbles
53
define sintering
the process of compacting and forming a solid mass of material by pressure or heat without melting it to the point of liquefaction.
54
2 types of ice
massive ice and glacial ice
55
3 types of ductile deformation
elastic, viscous, plastic
56
what is deformation
how a material responds to an applied stress
57
what is elastic deformation
a stretch goes back to where it came from
58
what is viscous deformation
permanent deformation, not going to snap back, will continue oozing out speed is proportional to the stress being given
59
plastic deformation
elastic at first until a critical stress is met, then permanent movement
60
what type of deformation is ice
between viscous and plastic- viscoplastic
61
how is deformation measured
in terms of strains
62
how is the measure of stress
measured in pressure. Newtons/Metres2 = pascals
63
how is strained measured
how much change since original position (end position - start) / start it is a proportion, a unitless ratio
64
why is strain meaningless in viscous flows
strain keeps increasing as stress is applied
65
what unit is strain rate
per years
66
two types of deformation
pure shear and simple shear
67
outline pure shear
an object that squishes in one direction, onto the sides extension and compression
68
outline simple shear
parallel surfaces moving past each other material deforms in a way that layers slide over each other. this results in a change in angles between lines that were originally perpendicular
69
what is the stress/strain relationship known as
glens flow law
70
outline the stress/strain relationship
logarithmic scales, it is not linear exponential scale strain rate = ice hardness*stress^usually 3
71
why is the exponent usually 3 glens flow law
when we plot it is the most fitting value for the viscoplastic movement , but some think it should 4. works most of the time with n=3
72
how does ice hardness change with temperature and give example
increases significantly with fall in temp ice hardness increase by factor of 1000 from 0 to -55 degrees
73
other factors affecting ice hardness
water content impurities
74
ice at 0 degrees is how much viscous than water?
10^15 times (massive number)
75
how does strain rate change through time and name phases
primary - initially drops under applied stress, due to stiffening, as ice grains redistribute secondary - then softens due to recrystallisation and rotation of crystals tertiary - reaches a steady state
76
briefly distinguish stress and strain
stress is a measure of how hard a material is being compressed, stretched or twisted as the rest of applied forced strain measures the amount of deformation that occurs as the result of stress
77
outline example of stress and strain in relation to toothpaste
toothpaste comes out due to deformation (strain) resulting from an higher pressure on the surface than the nozzle (stress)
78
define force
the physical influences which change the state of motion of a mass mass times acceleration
79
define stress
force per unit area
80
unit for stress
pascal (newton/metres squared)
81
two components of stress on a surface
stress acting at right angles to the surface (normal stress) acting parallel to the surface (shear stress)
82
what are the two equal and opposing tractions on normal stress
either pressing together across the surface *compressive stress* or pulling away from it *tensile stress*
83
how do the tractions work in shear stress
parallel but act in opposite directions
84
at the base of a glacier what is the normal stress
mostly due to weight of overlying ice
85
define traction
force per unit area on a surface of a specified orientation - a measure of force intensity
86
define surface stress
a pair of equal and opposite tractions acting across a surface of specified orientation
87
define shear stress
a pair of tractions acting parallel to a surface
88
define normal stress
a pair of tractions acting at right angles to a surface
89
two basic types of strain
elastic (recoverable) permanent (irrecoverable)
90
two forms of permanent deformation
brittle failure - where the material breaks along a fracture ductile deformation - where material undergoes flow or creep
91
what is it known as when a material undergoes a change in volume due to deformation
dilation
92
why is transformation of now to ice dilation
the accumulation area of a glacier reduces in volume while increasing in density
93
why is a glacier mostly constant volume strain
it is essentially incompressible. after snow is condensed to ice
94
how is strain measured
comparing the shape and size before and after deformation.
95
two fundamental types of strain
pure shear simple shear
96
outline pure shear
flattening or stretching of a material under compressive and tensile deviatoric stresses
97
two ways of measuring strain
strain rate - amount per unit of time cumulative strain - net amount that takes place in a given time interval
98
what is rheology
the way in which strain rate varies with applied stress for a given material
99
what is yield strength
the value of the applied stress at the onset of permanent deformation, measured in Pascals
100
what does it mean if yield strength = 0
permanent deformation will happen at any stress, no matter howsmall
101
what is the yield strength of ice
0
102
the yield strength of subglacial sediments can be understood as the sum of which two properties...:
cohesion, friction
103
what does glens flow law calculate
how much deformation do you get if you increase the force on ice
104
glens flow law equation
E (strain) = A * T^3 (ice hardness*stress cubed)
105
main control on ice hardness
temp
106
why if we increase stress a little does strain increase a lot
strain is hardness * stress cubed
107
how is shear stress calcualted
ice density x gravity x thickness of ice x sin of ice gradient weight x sin of ice surface gradient
108
why is the ice surface gradient important in shear stress
if it was flat, there would just be normal stress crushing the ice down as it increases shear stress increases how much of the weight of the ice that is generated through shear stress rather than normal stress depends on that gradient
109
why study glacial erosion?
key component of landscape evolution - mountains, valleys, fjords sediment flux to oceans and global cycles palaeoclimate insights from landslides hazards
110
why is glacier hydrology important
glaciers are a natural water reservoir hydrology modulates effects of surface melting on runoff quality and quantity of water (due to influence of sediments, chemistry) GLOF risk water resources controls pressure and deformation of subglacial sediments
111
3 types of hydrology
supra glacial, englacial, subglacial
112
what temperature is isothermal snow
has to be 0 - it is uniform
113
what brings snow to the point
conduction, infiltration of water, refreezing and release of latent heat
114
what is the ASTER satellite
an optical satellite, its data used for DEMs for glacier mass
115
what is SROCCC
special report on oceans and cryosphere and changing climate
116
for 1D and 2D models what do we need
we need a DEM - as we need elevation
117
Q: What is the Degree Day Glacier Model?
A: It is an empirical model that estimates glacier melt based on the sum of positive air temperatures over a given period.
118
What is the fundamental assumption of the Degree Day Glacier Model?
Glacier melt is primarily driven by air temperature, which serves as a proxy for available energy.
119
How is melt rate calculated in the Degree Day Model?
Melt = Degree Day Factor × Positive Degree Days Where: Degree Day Factor (DDF) is an empirical coefficient (mm/day/°C) Positive Degree Days (PDD) is the sum of daily mean temperatures above 0°C
120
What is the Degree Day Factor (DDF)?
It is an empirical value that represents how much snow or ice melts per degree above 0°C per day.
121
Why do Degree Day Factors (DDFs) vary?
Different surfaces have different melting efficiencies: Fresh snow: ~2-5 mm/day/°C Firn: ~4-7 mm/day/°C Glacier ice: ~6-10 mm/day/°C DDFs are also influenced by location, radiation, and debris cover.
122
How are Positive Degree Days (PDDs) calculated?
By summing daily mean air temperatures above 0°C over a specified period.
123
What are the advantages of the Degree Day Glacier Model?
Simple and requires limited data ✅ Useful for large-scale glacier melt estimations ✅ Good for historical reconstructions
124
What are the limitations of the Degree Day Glacier Model?
❌ Ignores other energy sources (e.g., solar radiation, longwave radiation) ❌ Requires calibration for different glacier types ❌ Less effective in maritime climates with frequent temperature fluctuations
125
How does climate change impact the Degree Day Glacier Model?
: Rising temperatures lead to higher Positive Degree Days, increasing glacier melt and accelerating mass loss.
126
What is an Energy Balance Model (EBM) in glaciology
It is a model that calculates glacier melt by considering all energy fluxes affecting the glacier surface, including radiation, heat fluxes, and conduction
127
What is the energy balance equation for a glacier surface
Q_m = SW_in - SW_out + LW_in - LW_out + Q_H + Q_L + Q_G Where: Q_m = Energy available for melt SW_in, SW_out = Incoming & outgoing shortwave radiation LW_in, LW_out = Incoming & outgoing longwave radiation Q_H = Sensible heat flux Q_L = Latent heat flux Q_G = Ground heat flux
128
What is the main driver of energy input in an Energy Balance Model
Solar (shortwave) radiation, which varies with latitude, altitude, season, and cloud cover
129
What is the role of longwave radiation in glacier melt
Incoming longwave radiation from the atmosphere contributes heat. Outgoing longwave radiation is emitted by the glacier, cooling it. Cloud cover and greenhouse gases increase incoming longwave radiation, enhancing melt.
130
How does sensible heat flux (Q_H) affect glacier melt?
represents heat transfer from the air to the glacier surface through turbulent mixing, influenced by air temperature and wind speed
131
What is latent heat flux (Q_L), and how does it impact glacier melt?
It is energy exchange due to phase changes (evaporation, condensation, sublimation), influenced by humidity and wind.
132
What role does ground heat flux (Q_G) play in glacier energy balance
It represents heat transfer from the glacier’s surface to the interior, affecting subsurface melt and refreezing
133
What are the advantages of an Energy Balance Model
✅ Accounts for multiple energy sources (not just temperature) ✅ More physically realistic than degree day models ✅ Can be used to model future melt scenarios
134
What are the limitations of an Energy Balance Model?
❌ Requires detailed meteorological data ❌ Computationally intensive ❌ Highly sensitive to cloud cover and turbulence parameters
135
How do Energy Balance Models compare to Degree Day Models?
Degree Day Models are simpler but assume temperature is the only driver. Energy Balance Models account for radiation, wind, and humidity, providing more accurate melt predictions.
136
How is surface energy used in subsurface glacier processes?
Energy first warms subsurface layers to 0°C. Once they reach this temperature, any excess energy produces meltwater, which can percolate and run off
137
What happens if there is a surface energy surplus on a glacier?
Energy is conducted downward, warming subsurface layers. Once layers reach 0°C, melting begins. Meltwater may refreeze in colder layers or contribute to runoff.
138
What happens if there is a surface energy deficit on the glacier?
❄️ Melt stops ❄️ Surface and subsurface layers cool below 0°C ❄️ Heat is lost to the atmosphere, causing refreezing and strengthening the ice structure.
139
How does conduction play a role in glacier subsurface processes?
Heat is transferred from the surface downward, warming colder layers before melting can occur.
140
What happens when meltwater refreezes in a glacier
🔹 Releases latent heat, locally warming the surrounding ice 🔹 Forms superimposed ice, which contributes to glacier mass balance 🔹 Can block further percolation, affecting runoff dynamics
141
Q: What is the significance of subsurface warming before melting?
A: The glacier acts as a heat sink, delaying surface runoff until enough energy is available to fully melt the ice.
142
How does energy balance affect the freeze-thaw cycle in glaciers?
Positive energy balance → Melting & runoff Negative energy balance → Refreezing & ice accumulation Transition periods → Subsurface warming/cooling without immediate melt
143
How does meltwater runoff vary depending on subsurface conditions?
Cold glacier: Most meltwater refreezes internally. Temperate glacier: Meltwater drains freely as runoff. Polythermal glacier: Combination of refreezing and drainage occurs.
144
How is annual refreezing (R) calculated in Degree Day Models?
is often simplified using empirical relationships based on annual mean air temperature (Tₐ) and limited field observations
145
Q: What is the Woodward et al. (1997) equation for refreezing (R)?
R (cm) = -0.69 Tₐ + 0.0096 Where: Tₐ = Annual mean air temperature (°C) R = Refreezing depth (cm)
146
How did Radić and Hock (2011) apply Woodward et al.’s equation?
They used it to estimate global glacier refreezing rates for 2000-2100, providing a large-scale assessment of meltwater retention.
147
What is the basic assumption about melt and refreezing in Degree Day Models
Meltwater refreezes within the glacier until cumulative melt exceeds R—at which point, excess meltwater becomes runoff
148
Why is refreezing important in glacier mass balance models
Delays runoff, affecting hydrology Enhances glacier mass balance by retaining water as ice Regulates seasonal meltwater availability
149
What are the limitations of using empirical refreezing models?
❌ Based on limited field data ❌ Does not account for spatial variations in glacier type, snow depth, or internal heating ❌ Assumes a linear relationship with temperature, which may not hold for all conditions
150
what happens when cumulative melt exceeds R?
Meltwater is no longer retained within the glacier and instead contributes to runoff.
151
How does climate change impact refreezing (R) in glaciers?
🌡️ Warmer temperatures → Lower R → More meltwater lost as runoff 🌨️ More snowfall → Higher R → Increased meltwater retention
152
What is a Hybrid Degree Day Model
It is a modified version of the classic Degree Day Model that incorporates additional radiation-based factors to improve melt estimates.
153
What is the main limitation of the classic Degree Day Model
It assumes melt is only controlled by temperature (T) and does not account for shading, cloud cover, or radiation effects
154
What are the two variants of Hock’s (1999) Hybrid Degree Day Model?
1️⃣ First variant: Includes potential clear-sky radiation (I) to account for shading effects. 2️⃣ Second variant: Includes actual cloud cover effects using measured global radiation (Gₛ).
155
What are the advantages of Hybrid Degree Day Models
Accounts for spatial melt variability (shading & cloud cover) ✅ Variant 1 requires no extra field measurements ✅ More accurate than the classic Degree Day Model ✅ Less computationally expensive than Energy Balance Models
156
What are the disadvantages of Hybrid Degree Day Models
❌ Variant 2 requires global radiation (Gₛ) measurements, which are not always available ❌ Depends on empirical coefficients, making application to other glaciers difficult ❌ More computationally expensive than the classic Degree Day Model
157
How is accumulation (C) typically modeled in glacier studies?
Accumulation is usually treated as a linear function of elevation, with precipitation increasing at higher altitudes
158
How do models differentiate between snow and rain
They use an air temperature threshold, typically around 1°C, to distinguish between snowfall and rainfall
159
Why does using elevation-based precipitation work well at a glacier-wide scale
Because on average, precipitation increases with altitude, and temperature-based thresholds can approximate seasonal snow accumulation
160
What are the limitations of treating precipitation as a function of elevation?
❌ Works less well at smaller spatial or temporal scales ❌ Does not account for local topography (e.g. valley effects, wind-sheltered zones) ❌ Ignores snow redistribution by wind, avalanches, or sublimation
161
What processes affect snow accumulation beyond elevation?
🌬 Wind redistribution (snowdrift transport & deposition) 🏔 Local topography (e.g. ridges may lose snow, basins may accumulate more) ☀ Solar radiation effects (e.g. melting on exposed slopes) ⏳ Sublimation & compaction over time
162
Why is precipitation modeling challenging in glacier studies? Precipitation patterns can be highly variable, affected by:
Wind direction & strength Orographic lifting & rain shadows Cloud cover & storm tracks
163
How could accumulation models be improved
✅ Using higher-resolution climate models ✅ Including wind redistribution algorithms ✅ Incorporating remote sensing data to validate snow depth estimates
164
What is the traditional approach to obtaining meteorological inputs for glacier models
Using Automatic Weather Stations (AWS) placed on or near glaciers, then extrapolating meteorological variables over a Digital Elevation Model (DEM)
165
How is glacier temperature extrapolated in the traditional approach?
By assuming a standard atmospheric lapse rate of 6.5°C per km of elevation
166
How is precipitation extrapolated in the traditional glacier model approach?
By applying a regionally measured precipitation gradient to estimate precipitation at different elevations.
167
What are the challenges of using AWS (Automatic Weather Stations) data for glacier modeling
❌ Glaciers are often in remote locations, making AWS installation difficult. ❌ Data gaps occur due to harsh weather conditions affecting equipment. ❌ AWS data only represents a single point, requiring extrapolation across the glacier.
168
What is the new approach to obtaining meteorological inputs for glacier models?
Climate reanalysis datasets (e.g., ERA-40, ERA-Interim, ERA-20C, JRA55, NOAA-20CR) provide global meteorological fields at moderate resolution
169
What is climate reanalysis
process that ‘reanalyzes’ past observations using a weather/climate model to produce gridded global datasets of temperature, precipitation, and other variables.
170
What is the key advantage of climate reanalysis for glacier modeling
✅ Provides consistent meteorological data for any glacier worldwide, even in remote regions.
171
What is the key limitation of climate reanalysis datasets
They are based on models, meaning they contain uncertainties & biases, especially in complex terrain like mountain glaciers.
172
How do climate reanalysis datasets compare to AWS data
🌍 Reanalysis: Covers global glaciers but may have biases in local conditions. 📡 AWS Data: Provides accurate local data but is limited in coverage and may require extrapolation.
173
How can glacier models improve meteorological inputs?
✅ Combine AWS data with reanalysis datasets for calibration. ✅ Use high-resolution regional climate models to downscale reanalysis data. ✅ Incorporate remote sensing observations to validate temperature and precipitation estimates
174
What is calibration in glacier modeling
Calibration is the process of adjusting uncertain model parameters so that the model output matches real-world observations.
175
What is validation in glacier modeling
Validation is the process of testing a calibrated model against independent observations to assess how well it performs.
176
Why do models need parameter estimation
Many key parameters (e.g., Degree Day Factors, albedo, lapse rates) are not directly measured, so they must be estimated using field data or calibration methods.
177
What are some common parameters that need calibration
🟠 Degree Day Factors (DDFs) – For Degree Day Models 🟡 Snow and ice albedo – For Energy Balance Models 🔵 Temperature lapse rate – For extrapolating temperature over a glacier 🟢 Precipitation gradient – For estimating snow accumulation 🔴 Rain/snow threshold temperature – To distinguish snowfall from rain
178
What methods are used to calibrate glacier models?
1️⃣ Manual tuning – Adjust parameters iteratively until model matches observations. 2️⃣ Statistical optimization – Use least-squares fitting, Bayesian inference, or Monte Carlo simulations to find best-fit parameters. 3️⃣ Machine learning – Some recent studies use ML techniques to refine parameters dynamically.
179
What data sources are used for calibration?
Remote sensing data (e.g., satellite images of glacier mass balance) 🏔 In situ measurements (AWS, stake measurements, melt sensors) 📊 Historical climate data (Temperature, precipitation records)
180
Why is validation important after calibration?
Calibration only ensures the model fits past data, but validation tests if it can predict future or unseen conditions accurately
181
What happens if a model fails validation?
❌ Indicates overfitting to calibration data ❌ Suggests wrong parameter assumptions ❌ Requires recalibration or structural model changes
182
How do we validate glacier models
1️⃣ Compare model outputs with independent datasets (not used in calibration). 2️⃣ Use cross-validation, splitting data into training (calibration) and testing (validation) sets. 3️⃣ Test model on different glaciers or time periods to check generalizability.
183
Why is calibration challenging in glacier models?
❄️ Glaciers are in remote areas, making field data scarce. 📊 Many processes (e.g., wind redistribution, sublimation) are hard to quantify. 🌎 Climate change affects glacier conditions, meaning past parameters may not apply in the future.
184
What was the goal of Hock et al. (2007)?
To compare the performance of five glacier melt models of varying complexity and evaluate their predictions for glacier mass balance under future climate conditions
185
What types of models were compared in Hock et al. (2007)?
3 Degree Day Models:  🔹 0D (point-based)  🔹 1D (elevation-band based)  🔹 2D (spatially distributed, enhanced with potential clear sky radiation, I) 2 Energy Balance Models:  🔸 1D  🔸 2D (fully distributed)
186
What glacier was the focus of the Hock et al. (2007) study?
Storglaciären, a well-studied glacier in Sweden.
187
What data source was used for calibration in Hock et al. (2007)?
The models were calibrated using ERA-40 reanalysis climate data.
188
What data source was used for future mass balance predictions? (Hock et al 2007)
Regional climate model output, applied to project mass balance changes up to the year 2100
189
What was the key conclusion of Hock et al. (2007)?
Glacier mass balance predictions and sensitivities vary significantly with model complexity—model choice matters.
190
Why did the 2D energy balance model predict more negative mass balance in (Hock et al 2007)
It likely captured more spatial variability and detailed energy processes, including solar radiation and heat fluxes, leading to higher melt estimates.
191
What does the Hock et al. (2007) study show about model uncertainty
Even when calibrated to the same glacier, different models can yield widely varying results, highlighting the need for careful model selection.
192
What was the goal of Reijmer & Hock (2008)
To improve understanding of glacier melt processes by quantifying the role of meltwater refreezing using a detailed energy balance model
193
What type of model did Reijmer & Hock (2008) use
a full surface and subsurface energy balance model, which includes heat conduction and meltwater percolation and refreezing in the firn
194
What was the key finding of the Reijmer and Hock 2008 study?
Refreezing, often deep in the firn, accounted for approximately 20% of total modelled accumulation
195
Why is the finding in Reijmer and Hock 2008 about deep refreezing important
Because most direct mass balance measurements don’t account for deep firn refreezing—they assume any meltwater not refrozen in shallow snow becomes runoff
196
What is firn, and why is it relevant to glacial melt
A: Firn is compacted, partially melted snow that hasn't yet become glacial ice. It can store and refreeze meltwater, acting as a temporary buffer in the glacier's mass balance.
197
What was the aim of Marzeion et al. (2012)?
To model global glacier mass change and its contribution to sea level rise for all 198,000 glaciers in the Randolph Glacier Inventory (RGI), using a 0D degree day model
198
What climate dataset did Marzeion et al. (2012) use to force their model for the 20th century?
They used CRU 0.5° gridded global monthly climate data for temperature and precipitation
199
How were local lapse rates determined in Marzeion et al. (2012)
A local lapse rate was derived for each glacier using the surrounding 3 × 3 grid cell window from the CRU data
200
How were Degree Day Factors (DDFs) estimated in Marzeion et al. (2012)
DDFs were calibrated for 255 glaciers with glaciological mass balance data (WGMS), and then statistically extrapolated to the remaining glaciers globally
201
How did Marzeion et al. (2012) estimate glacier volume, area, and length
They used globally derived scaling relationships from existing literature to relate glacier volume to area and length.
202
What climate models were used for future projections in Marzeion et al. (2012)
The model was forced using temperature and precipitation outputs from 15 AOGCMs in the CMIP5 ensemble
203
What did Marzeion et al. (2012) identify as the main source of uncertainty in glacier projections
The greatest uncertainty came from variation within the model ensemble, not the differences between emission scenarios (e.g., RCP2.6 vs. RCP8.5)
204
What does it mean when snow and firn layers are isothermal?
They are at 0°C throughout, allowing them to store and transmit meltwater and rainwater without temperature change
205
What role do isothermal snow and firn play in glacier hydrology?
They act as temporary reservoirs, storing meltwater and rainfall and releasing it over hours to months, smoothing out variations in surface runoff.
206
How do isothermal snow and firn layers affect surface water input timing
They dampen short-term fluctuations in surface melt and rainfall by delaying runoff, stabilizing glacier meltwater discharge
207
Over what timescales can snow and firn layers release stored water
a few hours to several months, depending on snowpack structure, firn porosity, and weather conditions
208
What happens to the dampening effect of snow and firn storage over the summer?
declines, as firn and snow layers become saturated or depleted, leading to more direct runoff from the surface to the glacier base
209
Why is this dampening effect important in glacier hydrology models?
It affects the timing and volume of runoff, glacier hydrodynamics, and subglacial drainage evolution, especially in models of seasonal melt.
210
What technique did Samimi and Marshall (2017) use to monitor snowpack hydrology on Haig Glacier?
They used Time Domain Reflectometry (TDR) probes installed in the accumulation area of Haig Glacier in the Canadian Rocky Mountains.
211
How does TDR work in snowpacks? (Samimi & Marshall, 2017)
TDR probes measure the two-way travel time of electromagnetic waves along metal rods. The travel time increases with higher liquid water content in the snow
212
What does an increased travel time in TDR measurements indicate? (Samimi & Marshall, 2017)
It indicates a higher volumetric water content in the snow, as the electromagnetic signal slows down in wet snow compared to dry snow.
213
What did Samimi and Marshall (2017) observe about meltwater timing in snowpacks?
There was a greater delay between surface melt and detection of liquid water earlier in the season and at greater snowpack depths
214
What does the delay in meltwater infiltration indicate about the snowpack? (Samimi & Marshall, 2017)
It suggests that early-season snow and deeper layers can temporarily store meltwater, highlighting the snowpack’s buffering capacity
215
Why is TDR a valuable method in glacier hydrology? (Samimi & Marshall, 2017)
It provides high-resolution, in-situ measurements of liquid water content in snow, helping to better understand meltwater retention and timing in the accumulation zone
216
How does surface meltwater typically travel across a glacier before entering the englacial system? (Willis et al., 2002)
Meltwater flows laterally through snow, firn, or over bare ice until it reaches the glacier's edge, or enters the glacier through a crevasse or moulin.
217
How does albedo change affect water delivery to moulins during the melt season? (Willis et al., 2002)
As the high-albedo snowpack melts, it reveals low-albedo glacier ice, increasing melt rates and enhancing runoff into moulins later in the summer
218
What effect does a thinning snowpack have on meltwater dynamics? (Willis et al., 2002)
Thinning snowpack reduces its delaying effect on meltwater flow and increases meltwater delivery to moulins due to exposure of low-albedo ice.
219
Where does englacial water flow once it enters the glacier through moulins or crevasses?
Through conduits or small englacial pipes, as veins between ice crystals are impermeable at or below 0°C.
220
Why are ice veins within the glacier not significant for meltwater flow? (Englacial hydrology concept)
Because they are largely impermeable below or at 0°C, so water preferentially flows through larger pathways like moulins and crevasses
221
How can englacial conduits be detected? (Gordon et al., 2001)
By monitoring changes in water level and electrical conductivity (EC) in boreholes drilled to the glacier bed.
222
What does a change in electrical conductivity indicate in glacier boreholes? (Gordon et al., 2001)
It reflects variations in water source and routing—e.g., solute-poor meltwater vs. solute-rich basal water—allowing inference of englacial and subglacial flow paths
223
What is artificial water tracing, and how was it used? (Gordon et al., 2001
It involves injecting saline (high EC) water into the borehole to trace water movement and detect englacial flow pathways
224
Why are borehole studies important in glacier hydrology? (Gordon et al., 2001)
They help reveal hidden englacial and subglacial drainage structures and improve understanding of meltwater routing and storage within glaciers
225
What geophysical method did Fountain et al. (2005) use to detect englacial conduits
Ground-Penetrating Radar (GPR), specifically using a 25 MHz antenna, was employed to image englacial conduit networks at Rhonegletscher, Switzerland
226
How does GPR detect englacial conduits? (Fountain et al., 2005)
By transmitting radar pulses and measuring reflected signals—changes in reflection coefficients and layer impedances indicate different infill materials (e.g., water or sediment)
227
What field method did Gulley et al. (2009) use to study englacial conduits?
Glacio-speleology—the direct exploration and mapping of englacial passages, often by entering them through moulins or crevasses
228
According to Gulley et al. (2009), what are the three primary mechanisms of conduit formation?
Cut and closure: A surface stream or water at the base of a crevasse incises downward, followed by ice deformation closing the roof, forming a tunnel-like conduit Hydro-fracturing: Water pressure causes fractures to propagate through the ice, especially in zones of extensional or compressional flow Exploitation of pre-existing weaknesses in the glacier, such as firn pores, crevasse traces, or healed fractures, which are reopened or enlarged by meltwater flow
229
How does water exploit pre-existing weaknesses to form englacial conduits? (Gulley et al., 2009)
Water flows into structural weaknesses in the ice, which are more susceptible to enlargement by mechanical erosion and melting, eventually forming drainage pathways
230
How does glacio-speleology help identify conduit formation mechanisms? (Gulley et al., 2009)
By physically entering and mapping englacial passages, researchers can observe geometry, flowmarks, sediment deposits, and links to surface inputs, helping reconstruct formation processes.
231
What does Shreve (1972) propose for determining subglacial water flow paths
: By calculating the hydraulic potential (f) throughout the glacier, which combines gravitational potential and ice overburden pressure
232
What is the full equation for hydraulic potential in a glacier? (Shreve, 1972)
f=Pw gz+Pi gk(H−z) Pw = water density Pi = ice density g = gravity z = bed elevation H = ice surface elevation k = fraction of over burden pressure
233
What does the k value represent in Shreve’s equation? (Shreve, 1972)
It is a scaling factor that adjusts the ice overburden pressure term depending on subglacial water pressure assumptions: k=1: Water pressure = Ice overburden pressure k=0: Water pressure = Atmospheric pressure
233
simpler Shreve 1972 equation with two terms
hydraulic potential throughout ice = gravitational potential + pressure potential
234
What are the two main types of subglacial drainage systems?
Distributed systems: Slow, inefficient water flow over large areas Channelized systems: Fast, efficient water flow through discrete conduits
235
What type of subglacial water flow did Weertman propose?
Thin film flow—a very shallow layer of meltwater flowing between the glacier and a hard bedrock surface.
236
What physical process can generate thin film flow under glaciers?
Regelation: ice melts under pressure on the upstream side of bed obstacles and refreezes on the downstream side, producing localized film flow
237
What is a piece of evidence for thin film flow under glaciers?
The presence of secondary carbonate precipitates, which form from slow-moving, thin film water beneath the glacier, particularly in rock cavities
238
What are linked cavities in subglacial hydrology? (Fountain & Walder, 1998)
Water-filled gaps between ice and bedrock that form when sliding ice lifts off the bed behind obstacles, creating low-pressure zones where meltwater accumulates
239
What conditions favour the formation of linked cavities? (Walder & Kamb)
✅ Rough bed topography ✅ Fast glacier sliding ✅ Presence of meltwater at the glacier bed
240
How do linked cavities become part of an active drainage system? (Fountain & Walder, 1998)
If the cavities become connected by orifices, water can flow through the entire linked-cavity network, enabling distributed drainage
241
Are linked-cavity systems efficient at transporting meltwater? (Fountain & Walder, 1998)
No—they are inefficient compared to channels. They provide slow, distributed water transport and are common in early melt season or low-flux conditions.
242
What hydrological role do linked cavities play in glacier behaviour?
They influence basal water pressure, which affects ice sliding rates and glacier motion—especially in temperate or polythermal glaciers
243
What is meant by XSA in subglacial hydrology?
Cross-sectional area of the flow path—important for understanding flow efficiency and water velocity in subglacial conduits.
244
Why are water velocities high in channels?
Because of low resistance, few constrictions, and a large XSA, allowing water to flow freely and quickly
244
What are the key characteristics of channels in subglacial drainage?
✅ Large cross-sectional area (XSA) ✅ Water flows at low pressure gradients ✅ Water pressure is low ✅ High water velocity ✅ Forms channelised, discrete, arborescent networks
245
What are the key features of distributed systems (sediments, films, linked cavities, canals)?
Small XSA High water pressure High pressure gradients needed to drive flow Frequent constrictions Low water velocity Forms non-arborescent, diffuse drainage networks
246
Why is water pressure high in distributed systems?
Because narrow, irregular flow paths and constrictions resist flow, requiring higher pressure to force water through.
247
How do channelised and distributed systems differ in network structure
Channelised systems: Form arborescent (tree-like) networks with efficient flow paths Distributed systems: Form non-arborescent, irregular networks with slow, diffuse flow
248
How does drainage system morphology affect glacier motion?
Distributed systems: Promote high basal water pressure, enhancing sliding Channelised systems: Efficiently drain meltwater, lowering pressure and reducing sliding
249
Why is glacier hydrology important for both practical and scientific reasons?
✅ Practically: It affects water supply, river discharge, and downstream water management ✅ Scientifically: It controls basal processes, such as ice movement, sliding, and erosion
250
What happens to meltwater that doesn't refreeze in the snow/firn?
It can flow vertically and laterally through snow and firn, or across impermeable ice surfaces, eventually leaving the glacier or entering it through crevasses or moulins
251
How do snow and firn affect meltwater movement?
They act as buffers, dampening diurnal melt cycles and delaying the timing of water reaching the glacier interior or base.
252
How does meltwater move englacially within the glacier
Through small pipes, fractures, and larger conduits (e.g. englacial tunnels), often forming networks that evolve over the melt season
253
How can we predict the location of subglacial water conduits
Using Shreve’s (1972) theory, which calculates hydraulic potential based on surface elevation and ice thickness—but assumes a constant fraction of ice overburden pressure
254
What influences the morphology of the subglacial drainage system
Primarily the flux of water. Low flux promotes distributed systems (pores, films, cavities); high flux leads to channelised systems (canals, tunnels).
255
How does water pressure differ between drainage system types?
Distributed systems (e.g. linked cavities, films): Have higher water pressure Channelised systems (e.g. Röthlisberger channels): Have lower water pressure due to efficient drainage
256
What did Schoof (2010) contribute to glacier hydrology theory
He unified existing theories of channelised flow and linked-cavity systems into a single theoretical framework that accounts for their interactions and transitions based on water pressure and ice dynamics
257
What controls channel enlargement in Schoof’s (2010) model?
Channels enlarge by melt from flowing water. Enlargement is controlled by: Water temperature Wall roughness Water discharge
258
What causes channel closure in Schoof’s (2010) theory
Channel walls close by creep deformation, which depends on effective pressure (N), calculated as: N=pi−pw Where pi = ice overburden pressure and pw = water pressure
259
How do linked cavities close in Schoof’s (2010) model?
Like channels, they close by creep deformation, driven by the ice overburden pressure exceeding water pressure (N).
260
When are the subglacial conduits stable as a cavity
At low XSA, where closure rate exceeds opening rate. Many small cavities can coexist in a stable, distributed drainage system.
261
word equation for rate of change of conduit XSA
= (Melting caused by water flow) + (Mechanical opening due to ice sliding over bedrock) - (Closure due to ice creep under effective pressure)
262
What does steady state mean in the context of subglacial drainage systems?
It means the system is time-invariant—the conduit is stable, with enlargement rate equal to closure rate
263
In steady state, what is the relationship between effective pressure (N) and discharge (Q) for a cavity system
As discharge (Q) increases, effective pressure (N) decreases This is because more water in cavities builds up pressure, reducing N
264
In steady state, what is the relationship between effective pressure (N) and discharge (Q) for a channelised system
As discharge (Q) increases, effective pressure (N) increases This is due to more efficient drainage and lower water pressure within the channel, increasing N
265
What is the critical discharge (Qc) in subglacial hydrology
It is the threshold discharge at which a drainage conduit transitions from a cavity to a channel. Below Qc → stable as a cavity Above Qc → stable as a channel
266
What happens to the drainage configuration when discharge exceeds Qc?
The conduit becomes unstable as a cavity and transitions into a channel, which can handle higher discharge more efficiently
267
What happens when discharge drops below Qc?
The system reverts back to a cavity network, as channels are no longer sustainable due to low flow
268
Why is the Q–N relationship important in glacier hydrology
It helps explain how and when drainage systems switch between distributed (cavity-dominated) and channelised (efficient) modes based on meltwater input
269
Why do cavities and channels show different Q–N steady-state relationships? (Schoof, 2010
Because they are governed by different enlargement mechanisms: Cavities grow by sliding Channels grow by melting from water flow Each responds differently to increases in discharge (Q) and water pressure (pw)
270
What happens in cavities when discharge (Q) increases? (Schoof, 2010)
discharge increases -> water pressure increases -> sliding increasing -> so XSA increases -> so creep closure decreases however cavity size increases less than proportionally to discharge -> this means water velocity has to increase -> higher pressure gradient needed -> so water pressure is higher
271
Why does effective pressure (N) decrease in cavities as Q increases? (Schoof, 2010)
Because water pressure (pw) increases faster than ice overburden pressure
272
What happens in channels when discharge (Q) increases? (Schoof, 2010)
discharge increase -> more melting of channel walls -> XSA increases -> so slight fall in water pressure -> so creep closure slows but channel size increases more than proportionally to discharge increases -> so water velocity decreases -> sp pressure gradient must decrease -> so the water pressure ends up lower
273