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Snow Hydrology: Microwave Interaction with Snowpack
Do-Hyuk “DK” Kang
Environmental EngineeringUniversity of Northern British Columbia
December 5th, 2013
Northern Hydrometeorology Group
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Frolov and Marchert 1999, Hallikainen et al. 1986, TGRS
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EM WAVE PROPAGATION
TX
RX
TX
Inan and Inan Electromagnetic Waves,
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Hallikainen et al. 1986, TGRS
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RF SYSTEM DESIGN
TRANSMITTER: BY VADUM INC
RECEIVER:NI VSA & PREAMP
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LABORATORY TEST
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Amplitudes and Histograms
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Phase and Fourier Transforms
*21 *. AA
)exp()exp( 12211 jAjA
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meter01.04
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Key Words
Matzler and Wiesmann 1999 Devonec and Barros 2002
Tb
Ts
a
''n
b
pec s
'
s freq LWC
''
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Model Setup
• State Variables (SWE [m], Snow depth [m], Snow density [kg/m3], Snow Temperature [K], and Grain Size (will be) at each layer from 1st to nth layer
• 1-D Column simulation both for snow physics and radiation schemes with multi-layer
• Hourly Met. Data needed to drive model• Output: Hourly Vertical Profiles of Snowpacks,
Corresponding Tb [K], emissivity [ ], and Teff [K]
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Site Descriptions
• Valdai, Russia, 78~83, SMMR, 25X25 km• CLPX 2002-2003, 02~03, SSM/I, AMSR-E 25X25
km
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Coupled Model I : Snow Physics
Mass Balance
EnergyBalance
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Coupled Model II : Snow Radiation
3' 861.15995.11 ssd
^'''' )/(0994.1 Af
Kang and Barros 2010
Matzler and Wiesmann 1999
nnb DsT )1(
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nnb DsT )1(
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VALDAI
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CLPX
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Schanda and Matzler
1981
Willis et al. 2012 RS and Env
Kang et al. 2012
Accepted in IEEE
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nnb DsT )1(
Kang et al. 2012
Accepted in IEEE
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Kang et al. 2012
Accepted in IEEE
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Wiscomb and Warren 1980 VS Mätzler 2000 2997924 GHz = infrared 37 GHz = microwave
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Ice-Lamellae Model (Mätzler 2000, DK imp.)
Six flux theory: r, t, and e
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Scattering: multi freq.
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Future Topics
• Grain size• Ice lenses within snow layers• Depth hoar/surface hoar• First snow
• Intensity (radiative trnaser)• Electric Dipole Moment• Impedance Matching
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Questions
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Schanda and Matzler
1981
Willis et al. 2012 RS and Env
Kang et al. 2012
Accepted in IEEE
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nnb DsT )1(
Kang et al. 2012
Accepted in IEEE
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Kang et al. 2012
Accepted in IEEE
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Dry Snow VS Wet Snow
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'2''2'''
''
2
sgn n ba
Dry Snow Wet Snow
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Water Presence
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nnb DsT )1(
1 tre
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Coupled Model
Kang and Barros 2010
Matzler and Wiesmann 1999
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Matzler and Wisemann1999 RS and Env
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nnb DsT )1(
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BC ministry, Environment Canada
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VIC application to FRB
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Summary
• Introduced L band Snow Sensor
• Simulated Snow Physics and Radiation Physics in both Valdai and CLPX 2002
Future View
• NCEP based model application into FRB
• NARR based model application into FRB expected Paper 1: point scale snow hydrology assessment + VIC watershed scale investigation
• Radar response Paper 2: grain size, LWC toward radar backscattering signals
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Key Words
Matzler and Wiesmann 1999 Devonec and Barros 2002
pol.''n pec s freq Water
incluson
back rF
VpolHpol,
mP
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Hallikainen et al. 1986, TGRSColbeck 1974
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nnb DsT )1(
1 tre
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Based on Chang et al. 1987
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Based on Chang et al. 1987
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CLPX
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VALDAI
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CLPX
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Outline
• Coupled multi-layered snow physics model with passive microwave simulator
• Demonstrated model performance at two different locations:1) Valdai, Russia and 2) CLPX 2002
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Model Setup
• State Variables (SWE [m], Snow depth [m], Snow density [kg/m3], Snow Temperature [K], and Grain Size (will be) at each layer from 1st to nth layer
• 1-D Column simulation both for snow physics and radiation schemes
• Hourly Met. Data from RUC40 MM5• Output: Hourly Vertical Profiles of Snowpacks,
Corresponding Tb, es, and Teff [K]
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VALDAI
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Dry Snow VS Wet Snow
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Coupled Model II : Snow Radiation
3' 861.15995.11 ssd
^'''' )/(0994.1 Af
Kang and Barros 2010
Matzler and Wiesmann 1999
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nnskynb DsTsBT 12
011
2110
111
11)
11(
10)
01(
101
111
)1
1(10
)0
1(1
01
1
sr
tsssr
Tesky
TsrTstsr
Tesky
TstTsrst
D
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dry Snow case5.25.2
3 5054.0
/123.1
12.9
GHz
f
cmgmm
p secb
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Wet Snow case '2''2'''
''
2
sgn n
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Part 1: Motivations
• History of Snow Hydrology Model• Legacy of Microwave Remote Sensing of
Snowpack• Challenge in measurement of snowpack
Snow Hydrology Forward Radiation
Coupled Model
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Hallikainen et al. 1986, TGRSColbeck 1974
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Key Words
Matzler and Wiesmann 1999 Devonec and Barros 2002
Tb
Ts
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Part 2: Implementation
• Snow Physics Model• Snow Radiation Model• Challenge in measurement of snowpack
Physics Model Radiation Model
Coupled Model
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Key Words
Radiation Physics
Matzler and Wiesmann 1999 Devonec and Barros 2002
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http://www.ipac.caltech.edu/outreach/Edu/Windows/irwindows.html
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Hallikainen 1986, TGRS