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convert 45 m/s to

km/hr

& miles / hr
162 km/hr

97.2 miles/hr
change in melting pt equation
change melting pt =

(decrease in meltig pt / unit pressure)x(pressure change)
heat energy EQN
to raise temp of ice
heat energy =
(mass)x(specific heat of ice)x(temp change)
heat energy EQN
to melt ice @ 0*
heat energy =
(mass)x(latent heat of fusion)
heat energy EQN
to raise liquid water temp
heat energy=
(mass)x(specific heat of h2o)(temp change)
heat energy EQN
to vaporize liquid
heat energy =
(mass)(latent heat of vaporization)
heat energy EQN
to vaporize ice at 0*
heat energy =
(mass)(latent heat of sublimation)
angle between
H ----&----- H
in H2O
104.5*
orbitals in h2o
lone pair orbitals (2)
--- two O electrons

covalent bonding orbitals (2)
--- one O electron
---- one H electron
(+) charge
repeating crystalline structure of ice
tetrahedron
dimers
chains of molecules linked together
max density @ +4*C
0*C - 4*C:
--cutting of H bonds (infolding of crystalline lattice)
FASTER RATE than
thermal expansion

@ 4*C
---= the most efficient packing of water molecules due to cutting of h bonds
---increase in density reaches maximum

> 4*C
---density decreases again because thermal expansion occurs at faster rate than
infolding of crystal lattice (cutting of h-bonds)
Ih
(I sub h)
tratrahedral crystalline element of ice is packed hexagonally, forming Ih
as energy is added to ice @ 0*C
some h-bonds holding molecules in crystalline shape are broken,
and ice becomes liquid with no change in temp
... the cutting of h-bonds causes crystalline shape to fold in on itself
two processes occuring as energy is added to liquid water at 0*C
1. added energy causes individual h2o molecules to vibrate faster
= thermal expansion

2. more h-bonds are cut, causing additional infolding of the crystalline lattice
Watts =
Joules / second
1000 kg h2o per
cubic meter h2o
ideal gas law
PV = nRT

P= pressure
V= volume
T = temp

***TEMP ALWAYS IN *KELVIN*****

n = #moles
R = gas constant
finding "weighted mean density"
or
"weighted mean temp"
weighted mean density:
= (density)(layer height)
sum all values and divide by depth of snowpit

weighted mean temp
= (temperature)(layer height)
sum all and divide by depth of snowpit


SWE calculated as the
(mean density)(snow depth)(density h2o)
snowpack in snow drift behind snow fence
v
natural snowpack (snow drift with no snowfence)
Snowpack behind SNOWFENCE:
-depth determined by height of snowFENCE, not amt of snowfall

-snowdrift forms and reaches mature shape earlier in the season
==> - deeper snowpack
===> higher SWE

HIGHER DENSITY
-higher density than natural bc of wind transport shears snowflakes into smaller fragments -- packed more efficiently during deposition

*HIGHER TEMP
--snow accumulates while ground is still warm and is warmed by ground
+ higher density = more efficient heat transfer from ground thru snowpack
snow density
v
thermal conductivity
higher snow density = higher thermal conductivity of snowpack

(more efficient heat transfer from ground thru snowpack)

*why snowpack behind snofences are warmer than natural snopacks
precip gauges and wind
wind during snow events causes precip gauges to under-estimate "true snowfall" amt
Precip amt adjusted for blowing snow
Pa = (K)* (Pg)

Pa = adjusted precip

Pg = gauge measured precip

K = 1/CR
(adjustment factor for wind induced error)

CR = catch ratio of gauge
CR
catch ratio of gauge

CR = alter shield and snow = exp (0.0055-0.133Ws)

CR = no shield and snow = exp (-0.251-0.176Ws)

CR = alter shield and rain = exp (0.0055-0.133Ws)


Ws = Wind speed at gauge orifice
where most likely to occur in slab avalanche
(forces):

TENSION

SHEAR

COMPRESSION
tension = crown

shear = bed

compression = stauchwall
why are small gullies called terrain traps with respect to avalanche danger
SLOPE ANGLE:
-typically the upper slopes of gullies have steeper slope angles than the surrounding terrain
--provides local loading and starting zones

gullies have low slope angled bottoms where deep avalanche debris can accumulate
& slides can be triggered from below compression zone

EXPOSURE
due to wide variety of aspects found along upper perimeter of gully
== variable heating regimes within confines of gully
----> these differential energy patterns can lead ot formatiom of weak layers and crusts different slopes

WIND
-bc of wide range of aspects, distribution patterns of wind deposited snow are highly variable w/i gully boundaries
---some boundaries / slopes may be lee deposition & others are scoured
-the natural shape of gully can easily mask wind loaded accumulation zones

RUNOUT ZONES
-small gullies can serve as place where runout zones deposit avalanche debris
-- due to confined geometry of gully, small avalanches can produce significant piling of avalanche debris into small areas

LACK OF PERCEIVED DANGER
-traveling in gully bottom gives flase sense of security due to lower slope angles
shear stress EQN
shear stress =
(snow density)(gravity)(snow height)(SIN of slope angle)
density & height
v
shear stress
increasing density = increase shear stress

increase height = increase shear stress
snow conditions for skiing as :

1 m new snow

density 80kg/m^3

angle: 40*

wind speed: 20 m/s
snow conditions don't look good!!!

1 m = a lot fo snow
80kg/m3 = low density ("light")
+ 20m/s winds will redistribute a LOT of snow
Reutschblock test

why/ where / how
= A STABILITY EVALUATION
determines snowpack stability for a given slope

-- should be conducted on a slope that is similar (slope angle / aspect /wind depo ...etc)
to slope that will be skied

Rectangular block of snow
(1.5m wide in downslope direction
2m wide across slope)
is isolated by cutting out sides and cutting the back out (using saw / ski / rope)
-after block is built it's loaded to produce a weak layer of failure in stages that give a rough numerical rating as and index of stability
Reutschblock test

loading to produce weak layer of failure in stages

(giving rough numerical rating as index of stability)
1 - failure under weight of block alone

2 - one person on skis steps onto blocks

3 - person weights skis by making rapid knee bend

4 - person with skis jumps

5 person with skis jumps 2nd time

6 - person withOUT skis jumps

7 - no failure observed
incoming & outgoing Longwave rad

as year progresses
year progresses = temp becomes higher

both incoming and outgoing longwave increased as year progressed due to higher temps

Outgoing rad > Incoming rad
bc
--snowpack warmer than air
--snow has higher emissivity than air, so emits more LW rad
Shortwave v Longwave Rad

variability?
shortwave more variable bc affected by cloud cover
seasonal increase in solar rad
measured at niwot ridge

due to
primarily due to decrease in albedo
and increase in incoming solar rad
frozen h2o ___% freshwater
80%
snow melt runoff as water source to surface h2o
(CA and CO)
CA - 80%

CO- 70%
snow's influence on radiance balance
due to albedo of snow and ice (high relative to other surfaces
snow cover effects on climate
1. ALBEDO
-new = ~0.8-0.9
-old =~0.5-0.6

ice (0.3)
water(0.05)
**blocks incoming rad from surface ((solar energy returns to space instead of being retained in atm)

2. surface temps stay depressed

3. low conductivity = acts as insulator keeping vast areas of soil unfrozen

4. climate feedbacks -- snow depresses temps causing more snow...
snow importance as water resource
1. controls hydrologic cycle
(stored over winter and relased in pulse during spring melt)

2. frozen h2o = 80% freshh2o

3. major contributor to river and ground h2o
energy required for a phase change
EQN
energy required (q)
= mass (m)
*(latent heat (L)
"latent heat"
(L)
amt of heat energy released / absorbed when a substance changes phase
"specific heat"
amt of heat energy required to raise the temp of
1 g substance
by 1 degC (or 1 degK)
snow metamorphism driven by
gradients of temp and vapor density within snowpack
gradients of temp and vapor density within snowpack caused by
transfers of
-heat (energy)
-liquid water
-water vapor
to or from the snowpack
snowpack temp when meltwater can leave snowpack
normally 0degC

(but some water flow can occur when temps are -3 or -4degC
methods of energy transfer
1.radiation

2. conduction

3. convection

4. advection
radiation

method of energy transfer
transfer via electromagnetic waves

... the only form of energy transfer that doesn't require a medium

(thus the only way energy can be transferred thru space)
conduction

method of energy transfer
transfer by molecule to molecule contact
in response to a temp gradient
.. when substance itself doesn't mix

(takes place in both solids and liquids but solids more important)
convection

method of energy transfer
transfer when the substance mixes

sensible heat flux (in response to temp gradient)
latent heat flux (thru change of state amound solid / liquid / gas phase)
advection

method of energy transfer
transfer of energy by mass transfer
(eg rain on snow)

often called "HORIZONTAL CONVECTION
-- ie horizontal movement of warm air mass over cold snowpack
Wien's law
as temp increases, the WL that max energy is emitted DECREASES
angle between two H's on the o
104.5*
# E, P & N in H & O
H = 1 P --- one e

O = 8P 8N
---2 e's in inner shell
---6 e's in outer shell
acceptor v donor h2o molecule
donor:
-covalently bonded H in interaction

acceptor
-accepts H of other molecule via h-bond
"unique properties of h2o"

(6)
1. high surface tension

2. high viscosity

3. high specific heat

4. density

5. melting / boiling pts

6. solvent properties
high surface tension

(unique h2o property)
because attracted to itself via h2o molecules h-bonds
high viscocity

(unique h2o property)
h-bonds make water "sticky", for its size

(like honey)
high spec. heat

(unique h2o property)
amt of energy to raise temp of 1g substance by 1degC

... spec h2at h2o 5x > land

--can absorb large amt of heat with small increases in temp

-- releases a lot of heat with only a small drop in temp

**oceans / lakes moderate climates of adjacent land
density

(unique h2o property)
max density @ 4degC
not freezing pt

--expands upon freezing

-- lakes only freeze at surface!
melting / boiling pts

(unique h2o property)
abnormally high

--allows h2o to exist as liquid at earth's surface
solvent properties

(unique h2o property)
good solvent for ionic salts and polar molecules

imp in transfer of dissolved substances in hydrologic and biological systems
molecular formulas for h2o

H
D
T
16O
18O
hydrogen (1e,1p,0n)

deuterium (1e,1p,1n)

tritium (1e,1p,1n)

oxygen-16 (8e,8p,8n)

oxygen-18 (8e,8p,10n)
"dipolar" (h2o molecule)
-no net charge to h2o molecule

-BUT electrical field not evenly distributed
(bc O atom attracts e's more strongly than H)
---> side of h2o molecule with H= net + charge
--> side of h2o molecule with lone pair orbitals = net (-) charge

it is a POLAR MOLECULE
(molecule with partial neg and partial positive charge)
--> allows h2o to seperate polar solute molecules and solvent ability
"weak covalent bond"
can refer to the H-bond

... ie = ENERGY needed to break it is LOW
liquid h2o # h-bonds
avg of 3.4 h-bonds per h2o molecule


.... the large number of h-bonds actin in unison have strong contributory effeft
(for liquid h2o state)
why ice has rigid lattice structure
in ice each molecule is H-bonded to 4 other molecules
"ice crystalline lattice"
the orderly arrangement of h2o molecules with fixed positions for the O atoms... held together by H-bonds
Bernal-Fowler ice rules
1. there are two protons close to each O atom
(~9.8A)

2.the two protons in each h2o moleule are oriented so they pt toward two different O atoms

3. there is a single proton on a H-bond between two adjacent O atoms

4. under ordinary conditions any of the large # possible configurations equally possible
mark's ice rules
1. each pair of O atoms is linked by an H-bond

2. the H-bond moves back / forth between the O atoms

3. each O atom in ice is connected to 4 other O atoms with 4 H bonds
O----O distances
(for H-bonding)
2.76 A

(angstoms)
O-O-O angle
(in h-bonding)
109*
# forms of crystalline ice
11
Ih form of crystalline ice
hexagonal form
--- only one found on Earth surface
(@normal T and P)

--> The tetrahedral structure crystallizes hexagonally
tetrahedral structures can crystallize
hexagonally
or
cubically
basal plane
-- layer of hexagonal rings

..c-axis at rt < to plane
phase transitions occur due to
change in kinetic energy of participating particles
solid phase strive for
geometrically & bondwise setup with lowest energy conformation

ICE lowest energy setup =
--- 4 nearest neighbors
= open hexagonal structure
(each bond = lowered overall energy)
"quasi-liquid"
liquid like layers that form on solid surfaces at temperatures below the solid's melting pt
ice crystals change from cubic to hexagonal form @
160K
heat capacity consequences for evap and freezing
large heat capacity == large amts of energy required for evap and freezing

**energy released / used in evap/freezing = major control on local air temp (particularly in mtn enviros)
phase changes:
energy released / used
freezing - released
melting - used
evaporation (vaporization)-used
condensation - released (gas to liquid)
sublimation (solid to gas) -used
"phase diagram"
graph shows the conditions at which substance exists as solid, liquid or gas

(function of T and P)

--> line seperating two phases = conditions where two phases can exist in equilibrium
--> triple pt= where all 3 curves meet
0.01 degC 0.006 atm
triple pt
all phases exist in EQUILIBRIUM
(tho all phases exist simultaneously on E's surface they're not in equilibrium

0.01 degC
0.006 atm
energy required for a phase change
q = mL

q = energy required

m = mass

L=latent heat
"latent heat"
amt of heat energy released / absorbed when a substance changes phase

--latent heat is constant for a substance for a given phase change
latent heat of fusion
energy required to MELT ice

solid --> liquid
latent heat of vaporization
energy required to evaporate / vaporize liquid

liquid ---> gas
latent heat of sublimation
energy required to go from
solid ----> gas

(latent heat of fusion)+(latent heat of vaporization)
the energy change within a system is a function of
q=mc(Tchange)

mass x specific heat(c) x delta T
"specific energy"
amt of heat energy required to raise the T of one g substance by 1degC or K
cold content
energy = mcT
"absolute humidity"
expressed as a number density of h2o molecules
Nv

or as a mass density
rho(v)

amt h2o vapor in air sometimes expressed as "Vapor Pressure" (e)
ideal gas law
PV = NRT

P-pressure
V-volume
N-# moles
R-gas constant
T-temp (K)
V-vapor
"equation of state"
substitute rho/m for P/V (in ideal gas law)

P = rho RT / m

rho = density (kg/m^3)
m = molecular weight (kg/mole)
convert from pressure change & volume change
to

chnage in mass flux h2o
N(v) = e/kT

N= "absolute humidity" expressed as # density
e = vapor pressure
k=
T = temp


or

rho(v) = e/R(v)T

rho(v) = absolute humidity expressed as mass density
R=gas constant
Dalton's law
total pressure is equal to sum of partial pressures

P = Pd + Pw
(dry air prressure = Pd
Vapor pressure = Pw)


-- same with total density
rho = rho(d) + rho(w)
Saturation Vapor Pressure
e(s)
max amt of h2o vapor that is thermodynamically stable

-function of air temp
*(amt h2o vapor air can hold increases exponentially with increasing air T)
why saturation vapor pressure
is a poor term
the amt of h2o vapor in the atm often exceeds the SVP

("equilibrium vapor pressure is better term"
Relative Humidity
RH
ratio of actual vapor pressure
e(a)
to the saturation vapor pressure
---expressed as %

RH = e(a) / e(s) x 100%
supersaturation
actual amt h2o vapor
is greater than sat vapor pressure

ie RH > 100%
in snow pack RH of pore space
always near 100%

... so as h2o vapor moves from warmer to colder regions in snowpack
pore space becomes supersaturated with respect to water vapor ....
and h2o vapor deposits directly from gas phase to solid phase

DRIVE PROCESSES --- SINTERING
& FORMATION OF DEPTH HOAR
SVP facts
1. function of temp only

2. below 0degC SVP over water > SVP over ice

3. below 0degC plenty of condensatio nuclei for h2o but few available for ice
.... thus supersaturation w/ respect to h2o is rare
.... & supersaturation w/ respect to ice is common
at same temp, SVP over ice v SVP over h2o
SVP over liquid always greater than SVP over ice

(ie the atm is supersaturated with respect to snow crystals when NOT supersaturated with respect to h2o droplets)
h2o thus moves from by the gas phase form liquid h2o droplets to ice crystals
snow crystal type largely determined by
degree of supersaturation in atm
supersaturation's importance
-degree of supersaturation in atm largely determines snow crystal type

-supersaturation in pore space of snopack determines type of snow metamorphism that occurs
(ie ET or TG snow grains)(& avalances)
conditions for precipitation
1. creation of saturated conditions in atm

2. condensation of h2o vapor into liquid h2o

3. growth of small droplets by COLLISION and COALESCENCE until they become large enough to precipitate
saturated conditions generally occur when
air mass cooled by being lifted vertically
cool air / warm air
hold h2o vapor
cool air holds less h2o vapor
(e(sat) is REDUCED)

warm air holds more h2o vapor
"condensation"
phase change where h2o vapor becomes liquid

requires creation of saturated conditions
.... and presence of condensation nuclei (small dust particles or previously formed particles of h2o or ice)

... can produce such small particles = stable in atm
(white clouds = droplets too small to precipitate)
coalescence
small droplets into larger droplets
thru collision of small droplets with eachother (or with large drops)
=
drops large enough to overcome gravity and fall to ground as rain
Requirements for
snow to form in atm
1. h2o present in Vapor phase

2. RH = 100%

3. Tair to 0degC

4. nucleating agents
snow formation difference than rain formation
snow requires ICE NUCLEI
... hard to 'make' h2o molecules line up correctly to form a crystalline 3d shape

(rain requires dust or previous formed h2o droplets)
snowfall formation
h2o vapor + nucleus + T<0*C + saturation
---------------->
nucleation
-------------------->
ice crystal
----------------------->(sublimation growth)
Snow cystal
-----------> (continued growth thru..)
1. Sublimatiom
2. Riming
3. Aggregation
if meet all requirements for snow formation except for nucleating agents
the amt of h2o vapor in air increases above RH 100%--- ie supersaturation

,.... if RH = 112%... the amt of supersaturation is 12%
2 types of nucleation
homogeneous nucleation


heterogeneous nucleation
homogeneous nucleation
-spontaneous process
-no nuclei necessary

-- formation of ice crystals from supercooled h2o droplets (-40*C)
heterogeneous nucleation
3 types
1. deposition nucleation

2. immersion-freezing nucleation

3. contact nucleation
deposition nucleation

(type of heterogeneous nucleation)
growth by deposition from vapor phase onto existing ice nucleus

Radius > 1000 A
immersion - freezing nucleation

(type of heterogeneous nucleation)
ice nucleus imbedded w/i supercooled h2o droplet

Radius > 100A
contact nucleation

(type of heterogeneous nucleation)
collision contact between ice nucleous and supercooled water droplet

more efficient than freezing nucleation (can nucleate at Temp 5-10degC warmer than in freezing nucleation)

-- is "the deposition of gas or liquid onto an ice nuclei"

.5-8 micrometers diameter
--can be advected 1000s miles

--dust storms, volcanic eruptions good sources
number of ice nuclei in atm on average
ln N = A (T1 - T)

T1 = temp for concentration of 1 active ice nucleous per liter
(norm ~ -20degC)
surface of earth = primary source of ice nuclei in atm
silicate minerals
---clays (kaolinite & illite)
----(greenland -- 85%ice cristals had clay particles as nuclei with >1/2 kaolinite


sea salt = poor nucleating agent ... cloud drops must be cooled to at least -35degC before sea salt aerosols act as nuclei
organic ice nuclei
-decomposing leaf matter = good

-microbial decomp increases effectiveness of ice nuclei

Composition of organic ice nuclei:
--insoluble in h2o
--stable in all common organic solvents
--temps above 60degC deactivates ice nuclei
growth of ice particles thru
-growth from vapor phase

-aggregation

-riming
growth ice particles

thru AGGREGATION
snowflakes formed by collision / adhesion (or sticking) or ice and snow crystals

growth rate:
-fast compared to vapor diffusion

max size:
-@ -1 to -4degC -- substantial pseudo liquid film on ice surface .. = ice neck connection between crystals ... crystals freeze togehter (mass sufficient to fall to ground)
growth ice particles

thru RIMING
-- adhesion of super-cooled h2o droplet to an ice particle or snow crystal

size of supercooled droplet =
--- 2-50 micrometers diameter

adhesion efficiency
--- very high (~1)
(ie every droplet adheres to every particle it contacts)

growth rate
-rel. fast
(10-20min for crystal to grow from 250micrometer radius to a 1-2mm radius)

formula to calc growth rate ;
dm/dt = pie r^2 a b w W
formula to calc growth rate for riming
dm/dt = pie r^2 a b w W

r = radius of crystal
a=adhesion efficiency (usually 1)
b = collosion rate between droplet and ice crystal

w= crystal fall velocity relative to h2o droplet
W= liquid h2o content of cloud
types of riming
Rimed
(initial form of crystal is apparent)

Graupel
(original crystal shape is obliterated usually round ball (also called "soft hail", "snow pellet")

Hail
(more advanced riming)

Sleet
(partially melted and refrozen snow crystals /or/ hard and transparent ice particles of frozen drops)
Prob w/ artificial snow
1. h2o droplets have a hand time of ~ 15sec

2. air temp rel. warm (close to 0degC)

3. natural air humidity low (<100%RH)
process of artificial snow
1. inject air / h2o mixture into atm

2. produces liquid h2o drops 100-700microns diameter

3. cooling of air mass by adiabatic expansion
(temp of h2o/air shot into atm is lower than surround atm by several degC)

4. add nucleating agents that are efficient at warm temps (near 0degC)

5. makes good ski base
--produces rounded ski grains (pack efficiently
---high density snow (400-450 kg/m3
bacterial ice nuclei
isolated from corn plant
--cultivated and freeze dried preserving cellular structure

--- protein in cell wall = nucleating agent

*very efficient
1
factors determining shape of snow crystals
1. temp

2. % supersaturation

3. ice nuclei type
growth directions of ice crystal
1. BASAL PLANE
-three a-axis' (each 120*apart)
--hexagonal symmetry
--produces plate-like & star like structures

2. OPTIC axis
--c axis (90*to basal plane)
--produces Needle or COlumelike structures

3. high supersaturation
--growth occurs where excess vapor density highest
-- growth occurs at edges and corners
-complicated crystals (dendrites)

4. low super saturation
-produces solid structures

5 atm changes after deposition
-often pass thru diff T and vapor regimes in atm -- crystal type can change after initial formation
---ex Capped Columns
capped column ex of
solid column formed in cold air w low supersaturation

enters warmer air -- plate can grow on end making capped column
impurities in snow
--incorporation into ice lattice
-- ice is poor solvent (unlike liquid h2o)

--impurities dissolved in h2o are rejected or precipitated when h2o freezes in atm

--incorporation of impurities involves "VACANCY SUBSTITUTION"
--> replacement of h2o molecule with one of similar ionic radius and charge (NH3 for H2o, or F for O)
impurities in snow
---incorporation on outside of snow / ice crystals
-- snow and ice crystals have high surface:volume ratio
+ lower settling rate
rel. to rain
//// so snow / ice crystals better at scavenging impurities out of the atm & rain
(thus have many impurities located on outside -- not inside of crystalline lattice structure)
maritime snowpacks
deep (15-25m annual snowfall)

high density (120kg/m3 new snow density)

moderate air temps (-1.3 *C)

low temp / vapor pressure gradient (<10*C/m)
prob's measuring snow
snow melts as land / lies on ground

snow settles as lies on ground

snow easily blown by wind & redistributed
methods measuring snow depth
1. snow stakes (perm or seasonal)

2. snow probes ("rulers stuck in snow")

3. remote sensing: not functional
--active microwave has potential-- but not functional for measuring snow depth
methods for measuring SWE
1. Gravimetric

2. snow courses

3. snow pillows

4. radioisotope gauges
measuring SWE:

Gravimetric
-melt and weigh snow of known volume

"federal" / "mt rose" snow smaple=
=log tube of known volume retreives snow core (want from top to bottom of pack)
measuring SWE:
Snow Courses
manual surveys - req 2 ppl
measure snow depth & h2o content @ designated course

= perm site that represents snow conditions at a given elevation in given area

*norm 1000ft long in area protected by wind
measuring SWE:
snow pillows
snow pillows = envelopes of stainless steel or synthetic rubber that contain antifreeze solution ---
as snow accumulates on pillows
devices convert snow weight into SWE

SNOTEL
measuring SWE:
radio isotopic gauges
nuclear gauges== radioactive source in ground under snowpack
... measure radioactivity without snow and above snowpack -- attenates radioactivity as a function of mass of h2o
(swe)
airborne SWE measurement
gamma ard SWE measurement
-based on fact that natural terrestrial gamma rad is emitted from K, U, and thorium radioisotopes in upper 8" soil

--- rad sensed from low flying aircraft
----water mass in snow cover blocks terrestrial rad signal
properties / characteristic of fallen snow...
change constantly
as function of
energy flux,
wind,
moisture,
h2o vapor,
pressure
"snow pack"
porous medium
(ice + air)
---(+liquid h2o)

-generally composed of layers of different snow types

-ice is in forms of crystals and grains that are usually bonded together
((forming texture w/ some degree of strength)
snow on ground - composition
mixture of water in three phases
ice
liquid h2o
h2o vapor

-- but AIR is imp component (95%+ of champagne powder)

---+ solutes / particles
"snow grains”
Once ice particles are deposited on ground

-- (bc of changes that occur within snow pack)
Ice particles deposited on ground
(name)
“snow grains”

due to changes that occur w/I snowpack
Sintering
Snow grains become bonded with their neighbors
-- act as ice skeleton providing structural strength to snopack
“snowpit”
-best way to measure snowpack characteristics

- (dig a hole from snow surface to ground)
WORKING WALL
- side of hole facing sun (ie self shaded from sun)
- smoothed with square shovel
Primary physical characteristics of deposited snow
(snow characteristics)
1. water equivalent
2. Temp
3. Albedo
4. Liquid water equivalent
snow depth

measuring in snowpit
measuring tape from surface to ground

z= 0 at ground (bc ground-snow interface doesn't change)
snow depth highly variable
mtns 10cm - 100m over
100m distance
density of snow


measuring in snowpit
(the amt of ice relative to air)

mass / unit volume

measured by weighing a known volume of snow

ranges from 30kg/m3(dry champagne powder) to 600kg/m3 (snowmelt runoff)
SWE


measuring in snowpit
the amt of liquid h2o stored AS snow

density * depth / density of h2o (given)
porosity of now


measuring in snowpit
ratio of density dry snow : density ice
-- give fraction of volume composed of ice

1 - this fraction = fraction snow sample composed of air (ie porosity)
strength of snowpack


measuring in snowpit
Hardness =
-measure of strength of snowpack in compression

increases with increasing density (density generally increases with depth due to compression-- so hardness generally increases with depth)
--
type / size of individual grains

INFLUENCES..
amt of bonding
strength of bonding

rate / location of meltwater flow
growth rate & grain type
in snowpack

driven by
gradients of water vapor w/i snow pack
water vapor gradients in snowpack depend on
1. initial type ice particle & initial conditions of deposition

2. temp of snowpack

3. magnitude of temp gradient

4. pore space size
diurnal temp gradient of snopack
surface 0*C day

surface -10*C night


mid = ~ -5*C

bottom = ~0*C
snowpack Temp

IMPORTANCE
1. temps w/i pack norm not uniform
(drive temp gradients of h2o vapor movement

2. when pack isothermal @ 0*C meltwater is released from bottom -->to hydro system
bottom (basal) layer of snopack generally 0* bc
1. stored heat in ground from summer warming

2. geothermal heat from interior
boundaries of snowpack (T)
GROUND norm near 0*C (stored summmer heat and geothermal heat from earth interior)

SURFACE responds to surrounding conditions and daytime heating / nighttime cooling


----> surface generally cooler than bottom =
VERTICAL TEMP GRADIENT
heat flux in snow & soil
snow -
--heat flow upwards


soil
---heat flow upwards
amt water vapor in pack

IMPORTANCE
considerable mass exchange across pore space via sublimation
vapor diffusion
re-deposition

**every snow grain sublimates, diffuses in gas phase to somewhere else in pack, and is redeposited (beleives some snow researchers)
RH within SNOpack
always close to 100% bc pore spaces poorly ventilated

ie at or very near sat. vapor pressure


..... so the pressure of water vapor within pack is controlled BY TEMP of pack
h2o vapor pressure within snowpack
controlled by TEMP
bc RH always close to 100%(ie alwyas at or near SVP)

warmer areas - higher vapor pressure
colder areas - lower vapor pressure

h2o vapor diffuses form higher pressure (warm) to lower pressure (cold) areas
energy exchange at snow surface controls
-grain size / type (thru influence on water vapor gradients -- movement)

-snowpack statigraphy

-temp

+ has influence on depth / density
primary driver of temp at /near snow surface =
energy exchange w/ atm
presence of snow = changes in surface - atm energy transfers
absorbs & transmits less rad

reduces air movement

conducts less heat


**** energy exchange at surface driven mainly by radiation and turbulent fluxes*****
energy is transferred within the snowpack via..

(after energy is gained / lost at surface)
1. conduction thru ice skeleton

2. vapor diffusion thru pore spaces
energy exchange at snow surface driven by
radiation

turbulent fluxes
(sensible and latent energy exchanges)
---sensible and latent may be large in magnitude, but tend to cancel eachother out
radiative energy transfers....

objects
all objects at all time emit and absorb electromagnetic energy from surrounding

-transfers occur continuously

-amt rad emitted by object is function of temp of object
short wave (solar rad)
is emitted by sun in wave band...
0.4 - 5.0 um

shortwave emission from snowpack - negligible
long wave rad emitted by atm and earth from Waveband
3 - 100 um
albedo
ratio of reflected to incoming rad

albedo snow as high as 95% (new dry snow)
solar rad that's not reflected
can penetrate snowpack... with rad intensity decreasing exponentially w depth

-- dry snow with density 100kg/m3 -- <10% of solar rad that penetrates snowpack remains after 10cm distance

... solar rad during day source of energy & can raise T of upper layers
long wave flux at snow surface
incoming -- absorbed with little penetration
lost continuously at surace (cooling surface)
"active surface" of snow pack (energy exchange)
location of maximum energy exchange of system
... during day several cm below surface due to penetration via incomimg short
wave
(long wave loss from surface can cancel out incoming shortwave)

night- no solar rad input
--still longwave output ...
= NET ENERGY BALANCE usually NEGATIVE
(surface temp of snow less than air temp)
classifying snow
difficult bc costantly changing via
temp, wind, moisture, vapor pressure
variations
"grain"

"grain boundary"
"Grain"
-visible ice particles in snowpack

"grain boundary"
designate where 2+ grains sintered together
The "smoking gun" of snowpack
GRAIN SHAPE

-- tells most about snow pack evolution (history)

--info about snow stability and avalanche potential
attributes of Grain Shape
1. appearance
-solid / hollow
-broken
-abraded
-partially melted
-rounded / angular

2. Surface
-rounded facets / stepped or striated / rimed

3. interconnections
-bonded / unbonded / bond size
-clustered
-# bonds per grain
grain size
avg size of characteristic grains w/i snow mass

(size in mm)

-Very Fine = <0.2
-Fine = 0.2 - 0.5
-Medium = 0.5 - 1.0
-Coarse = 1.0-2.0
-Very COarse = 2.0-5.0
-Extreme >5.0
ET Grain diameter
v
TG grain diameter
ET <0.5 mm diameter

TG > 3.0 mm diameter
characteristic grains of

snowpack with T gradients <10*C/m
rounded snow grains
tend to be 0.1-0.2 mm diameter
"ET"

-tend to bond together in simple chains, providing structural stability

-small T gradients
--> small vapor pressure gradients
--> slow grain growth within pack
snowpack with T gradient >10*C/m
depth hoar forms
"TG" metamorphism

-large temp gradient
--->large vapor pressure gradient
= produces angular / faceted grains

3-8 mm

(some can be greater than 15 mm ... results in poor sintering / low cohesion / low structural strength
"SUGAR SNOW"
SURFACE snow types
1. surface hoar

2. surface crusts

3. Firnspiegel

4. near surface faceted crystals

5. Sastrgi
"Surface Hoar"

(surface snow type)
large feather shaped crystals

growth during clear cold nights
(( heat lost by LW rad at surface lowers surface below air temp))
-- frozen dew formed by vapor deposition on radiation cooled surface

--complicated dendritic shape
1 - 10 mm
low density

*when buried under snowfall = weak layer in pack
... efficient in making shear instability
== fatal avalanches
"Surface Crusts"


(surface snow type)
hard well bonded layers
hardness varies

meltwater on spring snow refreezes during cold night

CAUSES
1. surface melting / refreezing
2. rain on snow event
3. wind deposition
4. wind erosion of snow surface

buried layer can act as sliding layer for avalanche bc stronger than surrounding snow
"Firnspiegel"
thin ice sheet formed on snow surface by rapid refreezing of solar heated snow
**usually high elevations during spring

-- air space between thin ice layer and snow beneath "GLACIER FIRE"

(air gap forms due to liquid h2o produced that infiltrates into underlying snow)
"Near-Surface Faceted Crystals"
1+ side faceted
(similar to depth hoar)

when buried = forms weak layer (avalanches may run on)

FORMATION THRU
1. radiation recrystallization during bright sunny days
2. diurnal recrystallization from diurnal T gradients
3. melt-layer recrystallization

0.5-1.5 mm diameter

formation CONDITIONS
1. sunny days
2. South facing slopes
3. clear days
4. subfreezing air T so there is no surface melt
5. clear cold nights
6. low density new snow at surface (facilitates vapor transport)

BASICALLY
solar rad penetrates snow surface and warms snowpack below
--surface is cooled thru loss LW rad
--->Results in LARGE Tgrad
--->resulting large vapor pressure grad produces faceted crystalls
Conditions for radiatiion recrystallizatoin
--low atm humidity
"sastrugi
ridges of snow formed when wind erodes and drifts snow --

generally sequence of long sharp wave-like ridges of hard snow

--perpendicular to wind
----w/ gentle slope to windward and
STEEP slope to leeward
"snow metamorphism"
crystalline changes that take place due to effects of
T emp
&
P ressure
snow metamorphism causes changes in snow PROPERTIES::::

which in turn affect...
Processes
1.sintering
2. structural strength of snowpack
3. permeability of pack
4. reflectivity of surface
5. thermal conductivity of pack
6. snow density

which AFFECT:
1. avalanche stability & release
2. melt-water runoff
3. radinet energy penetration into pack
4. release of solutes from pack
why snow metamorphism occurs
-crystalline solid close to its melting temp

-thermodynamically unstable
(large surface area: volume ratio
-results in high surface free energy
-thermodynamic equilibrium occurs when surface area:volume ratio minimized)
thermodynamic equilibrium occurs when
surface area to volume ratio minimized
(ie sphere or rounded grain)
snow crystal change form bc

(snow metamorphism)
-less supersaturation in pack than atm
-large suface to volume ratio
(thus high surface free energy -- thermodynamically unstable)
(crystals with higher s:v ratio (ie DENDRITES) = most unstable = change most quickly

-- radius of curvature
(effects can be large bc many new crystals - branch form).
,.....AS branches disappear = general decrease in avg particle size
........AFTER branches disappear size increases

-larger particles grow at expense of smaller particles b/c
----sublimation more efficient from smaller bc higher radius of curvature(thus higher vapor pressure)
--- water vapor moves efficiently away from smaller particles to larger particles (with lower pressure)
--condensation or redeposition more efficient over larger particles bc of lowervapor pressure
**thus with mixed particle sizes, avg size INCCREASEs over time - after initial decrease in particles iwth high surface:volume ratios
ET metamorphism
"Equitemperature metamorphism"

-rounded grains that bond together into simple chains
aka destructive metamorphism

-modest vapor gradients
-rapid destruction of original snow crystal shape and bonding between grians

.. all snow eventually ends up as this

-T GRADIENT <10*C/m
-Vapor diffusion direction governed by radius of curvature (loss in convexities, gain in concavities of ind. grains)
ET metamorphism results in
-lower S:V ratio of grains
-lower surface free energy
-snow grains fill in pore space -- increase density

-rounding of grains
-bonding or sintering of grains

-strength snopack increases

-rate ET metamorphism inreases with increasing temp
process of ET metamorphism
SVP greater over points (lowest at hollows)

--- more vapor pressure can be supported over
Convex > flat > concave

*for given T, SVP greatest over pt
*vapor moves from points to Hollows
*mass moves from pts --> hollows
-sintering / bonding occurs via this process
(two round shapes touch = hollow or concavity is formed)
TG metamorphism
"angular grains with poor sintering"

(constructive metamorphism... sugar snow)

T Gradient >10*C
snow density < 350kg/m3
--radius of curvature not important
SIMULTANEOUS HEAT AND MASS TRANSFER
Process
TG metamorphism
grows by movement h2o vapor from high density areas to low density areas
when vapor density gradient is GREATER across pore spaces than the gradient between pts and hollows (that drives ET meta..)

generally occurs from Warm areas --> cold areas

when vapor goes from warm to cool, the large amt of supersaturation results in immediate deposition whenever supersaturation contacts a nucleating surface
--Deposition occurs before water vapor can move from convexities to concavities

-deposition generally occurs as FACETS
---angle of deposition ~120* = stepped then scrolled and finally cup-shaped appearence

CUP GROWS TOWARD THE VAPOR SOURCE (ie toward the warm part of the snowpack
"hand to hand process"
relocation of mass caused by T gradients in snow
on scale of INDIVIDUAL GRAINS
results of TG metamorphism
-density rel. constant
-necks between snow grains = same size
-crystal size usually > 3mm
-structural strength decreases
-TG grains grow toward vapor source
-grains usually vertically oriented
(resists compaction by gravity-- further resisting increase in density

-- almost always forms WEAK LAYER In snowpack
-norm forms at bottom
2 types of snow metamorphism
1. DRY - no liquid h2o
T<0

2. WET - liquid h2o present
-T =0
"avalanche area"
location with 1+ avalanche paths
"avalanche path"
fixed locality within which avalanches move

STARTING ZONE
- where unstable snow fails and begins to move
-avalanche gains mass w/i starting zone and accelerates thru starting zone
-slope angles often 30-45 degrees

TRACK
"zone of transition"
-slope below starting zone that connects starting zone to runout zone
-av mass generally remains constant and no longer accelerating (velocity constant)
-- highst av speeds norm occur here
-slope 20-30*

RUNOUT ZONE
"zone of deposition
-deceleration rapid
-debris deposited
-av stops
slope < 20*
Types of AV's
1. point release

2. slab avalanche
point release AV
"sloughs"
composed of LOOSE snow

-AV starts at pt

spreads downhill laterally forming inverted V shape

incolves ONLY SURFACE snow
SLAB AV (3types)
= catastrophic failure of cohesive snow

1. POWDER AV

2. DRY SLABS

3. WET SLABS
Powder AV

(slab avalanche)
most / all material in AV suspended above ground by turbulent eddies
DRY SLAB AV

(slab avalanche)
cohesive material has no / little liquid h2o and a "CORE" of higher density snow (that's in contact w/ ground)

1. HARD SLAB
moves as a cohesive unit downslope

2. SOFT SLAB
breaks immediately into small blocks
WET SLAB AV

(slab avalanche)
liquid h2o present

-much higher friction at sliding surface
(often "plowing into soft sliding surface ... causing formation of grooves in sliding surface
& entraining rocks dirt .. other materials
"crown surface"
top fracture surface of slab
"crown"
snow remaining on the slope above crown surface
"flank
sides of slab

(often jagged appearence)
"bed surface"
sow remaining below slab bottom

-- main sliding surface of slab
(norm smooth appearance bc of friction from sliding slab)
"stauchwall"
downslope wall of slab

-often wedge shaped (usually obliterated by slab
snow deformation
elastic

viscous

brittle


--- snow can deform viscously and elastically before brittle failure occurs
3 forces acting on snow
1. compression ((fracture surfaces pushed together))
2. tension ((( can easily fracture)))
3. shear
"CREEP"
SHEAR FAILURE!

snowpack moves at different velocities under the influence of gravity

== generally bottom of snowpack doesn't move
---velocity increases with height in pack
"GLIDE"
TENSION FAILURE

entire snowpack moves under gravity influence

(decrease surface roughness = glide increases for given slope)
flowing AV
have CORE & DUST CLOUD


-CORE
--high density mateial (snow/air) @ AV bottom

DUST CLOUD
-air with suspended snow particles
--surrounds exterior of core
density <1% of AV
Powder AV
dust cloud - no core

often form by faling ice from steep snowfalls
Shear Stress
(tau)

= density * depth * gravity * sin(slope<)
AV velocity
V^2 = zeta * R * (sin(slope<) - MU cos(slope<))

zeta = coefficient turbulent friction
R = hydraulic radius
MU (greek letter) - coefficient of kinetic friction @ bed surface)
typical AV speeds

powder / flowing / wet
V elocity (m/s)

Powder 20-70

flowing 15-60

wet 5-30
AV impact pressure
"I"

I = density * V^2

(v = AV velocity
density is snow density
Loading Tests (AV's)

(class 1 stability evaluations)
-test skiing

-explosives

-hasty pit

-shovel shear test

-tap test

-burp the baby

-Rutschblok Test
Stability evaluation

CLASS 1
= "STABILITY FACTORS"

current AV activity

loading tests

fracture propagation
Stability evaluation

CLASS 2
= "SNOWPACK FACTORS"

past AV activity

Snowpack depth

slope use

ram penetrometer

snow temp

snowpack profile
stability evaluation

CLASS 3
= "METEOROLOGICAL FACTORS"

surface conditions

depth & h2o equivalent new snow

type new snow

density new snow

snowfall intensity
Maximum Precipitation Intensity (> 0.5 cm/hr)

Settlement of New Snow

Wind Speed

Wind Direction

Air Temperature

Relative Humidity

Solar Radiation (slope and aspect)
Geostrophic winds
winds @ altitude > 1km

-pressure-grad forces in equilibrium with coriolis forces

-goverened by large scale weather systems (independent of surface topography)
"earth's surface"

(basic wind structure)
friction between E's surface and atm

results in NO SLIP condition (Wspeed =0)
"boundary layer

(basic wind structure)
between E's surface and geostrophic winds

-wind speed increases from 0 (@ E surface) to its geostophic value @ the top of the boundary layer

-thickness of layer and distribution of wind speed depend on surface roughness

-ROUGH TERRAIN -
-- boundary layer thicker
--wind speed increases rel. slowly with height

FLAT OPEN TERRAIN
-boundary layer thinner
wind speed increases rel. fast with height
measuring Wind speed
-usually measured at 10m above terrain

(flat , open terrain)
Shear Stress
"downward transfer of momentum to the surface

(ie drag of wind on earth's surface

[N m^-2]

velocity gradients in boundary lary imply existence of SHEAR STRESSSES

MAX @ earth's surface

decreases with height above ground

-- becomes 0 in geostrophic wind

--shear stress by wind on snowcover causes movement of loose snow
shear stress becomes 0
in geostrophic wind
shear stress at maximum
at earth's surface
threshhold wind speed
minimum wind speed that snow is moved / redistributed

(function of physical conditions of snow surface)
threshhold wind speed increases with...
increasing temp and humidity
if original deposition occurs with wind

(effect on 'threshhold wind speed"
particles are in small pieces -- packing to a higher density

... and increase threshhold wind speed
threshhold wind speeds increase with time since snow deposition ... bc
sintering or bonding processes among deposited snow grains

** the rate of threshold wind speed decreases with time
** the increase in threshold wind speed is slower at colder temps
threshold wind speeds
in relation to new source of snow particles
Thr.wind speeds lower when new source of snow particles

--new snowfall
--snow on trees
--low snow strength layer
types of blowing snow (3)
1. creep

2. saltation

3. turbulent diffusion
creep

(type of blowing snow)
Rolling

height <1cm

Wind speed = <5 m/s

%load <10%
saltation

(type of blowing snow)
bouncing

height: 1-100cm

wind speed: 5-10m/s

%load ~80%
turbulent diffusion

(type of blowing snow)
suspension

height: >100cm

windspeed: >15m/s

%load <10%
snow distribution parameters
-slope

aspect

elevation

surrounding terrain (view factor)

reflected energy from other surfaces

long wave emission from cliffs

wind fetch
snow properties varying with time / space
depth

density

temp

chemistry

rate change
controlling factors of snow distribution
1. snowfall amt

2. redistribution

3. AV's, sloughs

4. ablation

5. elevation

6. topographic effects
snowfall amt

(controlling factor of snow distribution)
intensity, duration

depend on elevation / slope < / wind speed
redistribution


(controlling factor of snow distribution)
erosion in convergent flow areas

deposition in divergent flow areas
AV's sloughs


(controlling factor of snow distribution)
- changes spatial distribution of snow

- 30-60% alpine snow cover transported by AV's i Caucasus Mtns

- increase / decrease melt rate

-often result in deeper snowpacks
(provide meltwater later in season
Ablation


(controlling factor of snow distribution)
sublimation & evaporative losses from snow surfaces , interception in trees

ground melting

snow melt

differential snowmelt during mid-witer
(melt on south-facing slopes , but not north)

differential energy balance thru basin
elevation


(controlling factor of snow distribution)
increased orographic precip in increasing z in mid-lat mtns

below treeline = increased SWE w/ elevation

above treeline = wind redist. supercedes elevation effect (little correlation with z and swe
topographic effects
static parameter that affects all of above
topographic affects mediated by processes (blowing snow, AVs...)