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Mass balance of ice sheets (part I) AOSS 604 (004)

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Page 1: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Mass balance of ice sheets (part I)

AOSS 604 (004)

Page 2: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Outline for todayAOSS 604 (004)

(1) Some preliminary definitions - What do we mean by mass balance, accumulation and ablation?

(2) Where do we find ice?

(3) Some more definitions - What is the difference between an ice sheet and a glacier? - What is the equilibrium line, accumulation area and ablation area?

(4) Surface energy balance of a glacier - What controls the equilibrium line of an ice sheets/glacier?

(5) Melting vs. snowfall (which wins)

Page 3: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Outline for todayAOSS 604 (004)

(1) Some preliminary definitions - What do we mean by mass balance, accumulation and ablation?

(2) Where do we find ice?

(3) Some more definitions - What is the difference between an ice sheet and a glacier? - What is the equilibrium line, accumulation area and ablation area?

(4) Surface energy balance of a glacier - What controls the equilibrium line of an ice sheets/glacier?

(5) Melting vs. snowfall (which wins)

Page 4: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Ice sheet

Definitions

A glacier must have:(1) An area where snow accumulates in excess of melting

(2) Another area where the wastage of snow or ice usually exceeds the accumulation

(3) A transer of mass from the first region to the second-Adapted from M. Meir, 1963

Page 5: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Ice sheet

Definitions

-Adapted from M. Meir, 1963

A glacier must have:(1) An area where snow accumulates in excess of melting

(2) Another area where the wastage of snow or ice usually exceeds the accumulation

(3) A transer of mass from the first region to the secondDynamics

Page 6: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Ice sheet

Definitions

A glacier must have:(1) An area where snow accumulates in excess of melting

(2) Another area where the wastage of snow or ice usually exceeds the accumulation

(3) A transer of mass from the first region to the second-Adapted from M. Meir, 1963

Mass balance

Page 7: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Ice sheet

Ice shelf

Snow fall Definitions

Accumulation: All processes by which mass is added to a glacier or ice sheet

Page 8: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Ice sheet

Ice shelf

Snow fall Definitions

Accumulation: All processes by which mass is added to a glacier or ice sheetPrimarily snow, but also freezing along bed, avalanches, blowing snow, freezing of water in the snowpack

Page 9: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Ice sheet

Ice shelf

Definitions

surface melting

warm ocean waterbasal melting

iceberg calving

Ablation: All processes by which mass is removed from a glacier or ice sheet

Page 10: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Ice sheet

Ice shelf

Definitions

surface melting

warm ocean waterbasal melting

iceberg calving

Ablation: All processes by which mass is removed from a glacier or ice sheetPrimarily melting from surface, but also iceberg calving and melting from base

50% of mass lost from Greenland and Antarctica

Page 11: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

DefinitionsAccumulation: All processes by which mass is added to a glacier or ice sheet

Mass gained

Page 12: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

DefinitionsAccumulation: All processes by which mass is added to a glacier or ice sheet

Ablation: All processes by which mass is removed from a glacier or ice sheet

Mass gained

Mass lost

Page 13: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

DefinitionsAccumulation: All processes by which mass is added to a glacier or ice sheet

Ablation: All processes by which mass is removed from a glacier or ice sheet

Mass gained

Mass lost

Mass Balance = Accumulation - Ablation

Page 14: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

DefinitionsMass Balance = Accumulation - Ablation

sometimes called “winter balance” sometimes called “summer balance”

Page 15: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

DefinitionsMass Balance = Accumulation - Ablation

sometimes called “winter balance” sometimes called “summer balance”

Usually consider mass balance over 1 (or more) years- winter accumulation is partly balanced by summer ablation- thickness and length of glaciers are constantly fluctuating

Page 16: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Some final definitions . . .Mass Balance = Accumulation - Ablation

Specific mass balance = mass balance at a point in space

Page 17: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Some final definitions . . .Mass Balance = Accumulation - Ablation

Specific mass balance = mass balance at a point in space

AccumulationAblation

Page 18: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Some final definitions . . .Mass Balance = Accumulation - Ablation

Specific mass balance = mass balance at a point in space

AccumulationAblation

Net mass balance = mass balance integrated over glacier area

Page 19: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Where do we find ice sheets and glaciers?

AOSS 604 (004)

Page 20: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Where do we find ice sheets and glaciers?

AOSS 604 (004)

Greenland Ice Sheet

Quelcuaya I ce C ap Mt. K enya

Antarctic I ce S heet

New Guinea

Himalaya

Swiss G laciersAlaskan G laciers

Patagonia

Page 21: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Where do we find ice sheets and glaciers?

AOSS 604 (004)

Greenland Ice Sheet

Quelcuaya I ce C ap Mt. K enya

Antarctic I ce S heet

New Guinea

Himalaya

Swiss G laciersAlaskan G laciers

Patagonia

Polar regions

Mountains

Page 22: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Where do we find ice sheets and glaciers?

AOSS 604 (004)

(1) Polar regions Very cold (Less solar radiation)

(2) Mountains Temperature decreases with elevation (lapse rate)

Page 23: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Schematic of a (grounded) glacierAccumulation zone

Ablation zoneSnow accumulation

Snow melting

Page 24: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Schematic of a (grounded) glacierAccumulation zone

Ablation zoneSnow accumulation

Snow melting

Equilibrium Line

Page 25: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Schematic of a (grounded) glacierAccumulation zone

Ablation zoneSnow accumulation

Snow melting

Equilibrium Line

Dynamic flux of ice

Page 26: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Significance of the Equilibrium LineAccumulation zone

Ablation zoneSnow accumulation

Snow melting

Equilibrium Line

Increase

Page 27: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Significance of the Equilibrium LineAccumulation zone

Ablation zoneSnow accumulation

Snow melting

Equilibrium LineAdvances

Increase

Page 28: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Significance of the Equilibrium LineAccumulation zone

Ablation zoneSnow accumulation

Snow melting

Equilibrium LineRetreats

Decrease

Page 29: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Significance of the Equilibrium LineAccumulation zone

Snow accumulation

Snow melting

Equilibrium Line

What happens when:(1) You increase the amount of melt?(2) You decrease the amount of melt?(3) You increase snowfall and melt?(4) Decrease snowfall and melt?

Page 30: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Significance of the Equilibrium LineAccumulation zone

Snow accumulation

Snow melting

Equilibrium Line

What happens when:(1) You increase the amount of melt?(2) You decrease the amount of melt?(3) You increase snowfall and melt?(4) Decrease snowfall and melt?

Bottom line: Equilibrium line is diagnostic of the health of a glacier

Page 31: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Where do we find ice (revisited)

Equilibrium line

Page 32: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

Where do we find ice (revisited)

Equilibrium line

Equilibrium line depends on(1) Temperature (i.e., melt)(2) Snowfall

Page 33: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

Page 34: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

Approach:(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

(2) At the equilibrium line accumulation = ablation

(3) Find how the equilibrium line altitude changes with perturbations in air temperature, snow fall, net radiation

Page 35: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Page 36: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Page 37: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Energy available to melt ice/snow

Page 38: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Energy available to melt ice/snow

Net radiation

Page 39: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Energy available to melt ice/snow

Net radiationsensible heat input

Page 40: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Energy available to melt ice/snow

Net radiation

sensible heat input

latent heat input due to condensation and evaporation

Page 41: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Energy available to melt ice/snow

Net radiation

sensible heat input

latent heat input due to condensation and evaporation

heat supplied by freezing rain

Page 42: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Energy available to melt ice/snow

Net radiation

sensible heat input

latent heat input due to condensation and evaporation

heat supplied by freezing rain

heat conducted away from the surface

Page 43: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Neglect freezing rain and heat conduction away from the surface

Page 44: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Page 45: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Proportional to (air temperature - surface temperature)

Page 46: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

Page 47: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Energy Available to melt ice/snow = ?

At the melting point of ice the surface temperature is zero

Page 48: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

(2) At the equilibrium line accumulation = ablation

Page 49: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

Melt over the summer season is then:

Page 50: Mass balance of ice sheets (part I) - University of Michiganaoss-research.engin.umich.edu/faculty/bassis/content/pdfs/Lecture3.pdf · Outline for today AOSS 604 (004) (1) Some preliminary

How does the equilibrium line change?

AOSS 604 (004)

(1) Calculate amount of melt during the summer by applying an energy balance to the surface of the ice

(2) At the equilibrium line accumulation = ablation