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Il modello idrologico distribuito FEST-WB
A. Ceppi, G. Ravazzani, M. Mancini
Bologna, 30 maggio 2011Politecnico di Milano – D.I.I.A.R. (Department of Hydraulic, Environmental, Roads and Surveying Engineering), Milano, Italy
Il modello idrologico distribuito FEST-WB 2
Ravazzani, G., Rametta, D., Mancini, M. (2011), Macroscopic Cellular Automata for groundwater modelling: a first approach, Environ. Modell. Softw., 26(5), 634-643. doi:10.1016/j.envsoft.2010.11.011
Corbari, C., Ravazzani, G., Mancini, M. (2011), A distributed thermodynamic model for energy and mass balance computation: FEST-EWB. Hydrol. Processes, 25(9), 1443–1452.
Corbari C., Sobrino J.A., Mancini M., Hidalgo V., (2010), Land surface temperature representativeness in a heterogeneous area through a distributed energy-water balance model and remote sensing data, Hydrol. Earth Syst. Sc., 14, 2141–2151.
Pianosi, F., Ravazzani, G. (2010), Assessing rainfall-runoff models for the management of Lake Verbano. Hydrol. Processes, 24(22), 3195-3205. doi:10.1002/hyp.7745
Ceppi, A., Ravazzani, G., Rabuffetti, D., Mancini, M. (2010), Evaluating the uncertainty of hydrological model simulations coupled with metorological forecasts at different spatial scales. Procedia - Social and Behavioral Sciences, Volume 2, Issue 6, 2010, Pages 7631-7632.
Ranzi, R., Bacchi, B., Ceppi, A., Cislaghi, M., Ehret, U., Jaun, S., Marx, A., Hegg, C., Zappa, M. 2009. Real-time demonstration of hydrological ensemble forecasts in MAP D-PHASE. La-Houille-Blanche. 5. 95-103. doi:10.1051/lhb/2009061
C. Corbari, G. Ravazzani, J. Martinelli, and M. Mancini. (2009), Elevation based correction of snow coverage retrieved from satellite images to improve model calibration. Hydrol. Earth Syst. Sc., 13(5), 639-649.
Il modello FEST-WBUn po’ di storia
M. Mancini. La modellazione distribuita della risposta idrologica: effetti della variabilitàspaziale e della scala di rappresentazione del fenomeno dell'assorbimento. PhD thesis, Politecnico di Milano, 1990
FEST-WB: Flash – flood Event – based Spatially –distributed rainfall – runoff Transformation – including
Water Balance
Il modello idrologico distribuito FEST-WB
Il modello FEST-WBSchema completo di calcolo
DEM
Parametridel suolo
Parametridella vegetazione
Forzantiatmosferiche
Dinamicaneve
Interpolazione spaziale:Thiesse, Dist. Inversa, ecc.
Definizione delreticolo idrografico
Bilancioidrologico
Propagazione: invaso lineare
Propagazione: Muskingum-Cunge
Idrogramma
PercolazioneDeflusso
superficiale
Ingresso
Uscita
LEGENDA
Processo
VariabileInterna
FEST-WB: Flash – flood Event – based Spatially –distributed rainfall – runoff Transformation – including
Water Balance
Il modello idrologico distribuito FEST-WB 4
Reference level
DigitalElevation
Model
Costant verticalthermal gradiant:
0.65°C/100 m
TemperatureTemperature
Il modello FEST-WBInterpolazione della misura di temperatura
Il modello idrologico distribuito FEST-WB
Il modello FEST-WBDinamica della neve
>⇔=
<<⇔−−=
≤⇔=
sup
supinf
infsup
inf
inf
1
)(0
TT
TTTTT
TtTTT
a
a
air
a
α
α
α
( )bam
TTCSnowMelt −=Ta = air temperature Tb = threshold temperatureCm = melt coefficient [m/(s °C)]
snowsnowrainrain
accumulationaccumulation
meltmelt
°CTinf Tsup
1
precipitationprecipitation, , PP
PPl α= PPs )1( α−=
ACCUMULATION
MELTING
Rainfallfraction
Il modello idrologico distribuito FEST-WB 6
°CTinf Tsup
1
-3°C 0°C
Corbari et al (2007) HESSD
Il modello FEST-WBDinamica della neve
Il modello idrologico distribuito FEST-WB
bare soil - Ta=13.4 °C - RH=0.47
-1000
-500
0
500
1000
1500
2000
-30 -20 -10 0 10 20 30 40 50
LST (°C)
ba
lan
ce e
qu
atio
n0)()()()()( =−−−= RETGRETETRETHRETRRETf nt λ
0)( =RETf )(RETmoistureSoil
( )aspa
sas
v
ca
v eTec
rr
f
rr
fELEsLEv −
+−+
+==+ ∗ )(
)(
)1(
)( γρ
λ
∫=V
soilcanopy dxdydzTTTRET ),(
Finding an integral temperature which isrepresentative of the heterogeneity of the termodynamic exchanges
Representative Volume
Corbari et al (2011) HP
Ptot=R+ETeff+D+(θt+1-θt)*Z
dt
dSLEHGRn =−−− Cp
LEETeff
ρ=
R
P
I
D
Sub-flow
Zθθθθ
R
P
I
D
Sub-flow
Zθθθθ
Soil water balance
Energy balance
Il modello distribuito FEST-EWBBilancio Energetico
Il modello idrologico distribuito FEST-WB
29 january 03 - 11 am
0.00E+00
1.00E+04
2.00E+04
3.00E+04
4.00E+04
modis fest
N° p
ixel
s
40-45
35-40
30-35
25-30
20-25
15-20
10 - 15
5-10
0 -5
-5 - 0
-10- -5
-15 - -10
29 january 03- 11am
FEST-EWB MODIS
29 july 03- 01 pm
0.00E+00
1.00E+04
2.00E+04
3.00E+04
4.00E+04
modis fest
N° p
ixel
s
40-45
35-40
30-35
25-30
20-25
15-20
10 - 15
5-10
0 -5
-5 - 0
-10- -5
-15 - -10
29 july 03 - 1pm paddies
Ts°
Comparison between RET fromFEST-EWB and LST from MODIS
Is it reasonable to use evaporation flux measures s imilarly to discharge measurements?
Il modello distribuito FEST-EWBBilancio Energetico
Il modello idrologico distribuito FEST-WB
( )tC
tS
CS
CSSC hh
TT
TTQ −
+= 2
( )tC
tE
CE
CEEC hh
TT
TTQ −
+= 2
CWCSCECNCC WQQQQQ ++++=
C
N
S
EW C
N
S
EW
Von Neumann neighbourhood definition
( )tC
tN
CN
CNNC hh
TT
TTQ −
+= 2
( )tC
tW
CW
CWWC hh
TT
TTQ −
+= 2
Local flux calculation
QNC
QEC
QSC
QWC
WC
QNC
QEC
QSC
QWC
WC
Scheme for the calculation of water fluxes
Hydraulic head updatingt
s
Q
Shh Ct
CtC ∆
∆+=+
21 1
h = hydraulic headT = transmissivity [L2/T]
S = storativity [-]WC = sources (+) or sinks (-)
Modellazione degli acquiferiIl modello distribuito FEST-EWB
Ravazzani et al (2011) Env. Mod. Softw.
Il modello idrologico distribuito FEST-WB
A
A’
B
B’
C’C
A A’
B B’
C C’
( )fiumefaldaT
T hhB
wLkQ −⋅⋅=
Interazione acquiferi-acque auperficialiIl modello distribuito FEST-EWB
Il modello idrologico distribuito FEST-WB
Library to read NetCDF maps (Fortran 90)
GridLib (6’600 lines)
Built on top of netcdf library
GridLib exposes higher levelroutines to read and writeraster georeferenced data in netcdf format
GeoLib (3’200 lines)
Library to convert maps todifferent coordinate referencesystems (includes CH1903).
Geodetic Coordinate UTM zone 32 North
Example: load and conversion of temperature fromtas_dm_6170_ERA40.nc
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Pre.G.I. – Previsione meteo idrologica per la gestione irrigua
giorni301
pioggia
θ
Il modello idrologico distribuito FEST-WB
ACQWA http://www.acqwa.ch
Assessing Climate Impacts on the Quantity and quality of WAter
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DRAGON2 http://dragon2.esa.int
Dragon 2 focuses on exploitation of ESA, TPM and Chinese EO data for science and applications
development in land, ocean and atmospheric applications.