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DISTRIBUTED RAINFALL RUNOFF e-mail : todini@geomin.unibo.it
MODELS APPLIED TO THE DARGLE Prof. Eng. Ezio TODINI
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DISTRIBUTED RAINFALL-RUNOFF MODELLING
Rainfall Runoff Models Black Box M. Semi Distributed M. Distributed M. Advantages of Distributed Models Physical meaning of model parameters Distributed representation of phenomena Limited calibration requirements Possibility of internal analysis
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Model 1: AFFDEF Main model characteristics:
Mass Balance in each cell Main model characteristics: Modified CN for estimating infiltration Radiation method for evapotranspiration Muskingum-Cunge for ovrland and channel flow
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Main model characteristics Vertical lumping of hydraulic conductivity
Model 2: TOPKAPI Main model characteristics Vertical lumping of hydraulic conductivity Dunne infiltration Soil horizontal flow, overland and channel flows represented using a kinematic equation Horizontal lumping of kinematic equations Model for the single cell
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TOPKAPI Distributed approach The model for the single cell
SOIL COMPONENT mass conservation moment conservation ODE
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TOPKAPI Distributed approach The model for the single cell
SURFACE COMPONENT mass conservation moment conservation … ODE
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TOPKAPI Distributed approach The model for the single cell
CHANNEL COMPONENT mass conservation moment conservation … ODE
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TOPKAPI Distributed approach Parameters
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Model 3: MIKE SHE Main model characteristics: 1D Richards equations for unsaturated zone 3D Boussinesq equation for greoundwater Parabolic approximation for overland flow
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Case study The Dargle Republic of Eireland County of Wicklow
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Elevation from 20 m to 713 m a.s.l. Sandy and sandy loam for about
Case study - Surface Area circa 122 km2 Elevation from 20 m to 713 m a.s.l. Sandy and sandy loam for about 1.5 m
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Saturation mechanism Dunne Horton
The “unrealistic” profile used in MIKE SHE to meet the observations
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Results: AFFDEF Efficiency Coefficients Variance of obs. = 17.85
Variance of errors= Nash Sutcliffe= Explained Variance= Coefficient of correlation =0.91 Volume Control = Willmott= Efficiency Coefficients
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Uniform value for curve number: 20
Risults: AFFDEF 5 [Km2 ] Areal threshold Average computer time = 5 min Saturated Hydraulic Conductivity 0.01 [ms-1] Variance of obs. = Variance of errors= Nash Sutcliffe= Explained Variance= Coefficient of correlation =0.91 Volume Control = Willmott= Efficiency Coefficients Infiltration Res. Const [s] Infiltration constant Infiltration Capacity Uniform value for curve number: 20
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Results: TOPKAPI Efficiency Coefficients Variance of obs. = 17.85
Variance of errors= Nash Sutcliffe= Explained Variance= Coefficient of correlation =0.91 Volume Control = Willmott= Efficiency Coefficients
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Results: TOPKAPI Average comp. time = 5 min Permeability [m3s-1] θS θR
α L [m] Soil Type 9.1E-04 0.453 0.041 2.5 0.9 Sandy Loam 0.7 3.1E-05 1.5 0.463 0.020 1.0 Loam 4.1E-05 Average comp. time = 5 min Variance of obs. = Variance of errors= Nash Sutcliffe= Explained Variance= Coefficient of correlation =0.91 Volume Control = Willmott= Efficiency Coefficients
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Results: MIKE SHE Efficiency Coefficients Variance of obs. = 17.85
Variance of errors= Nash Sutcliffe= Explained Variance= Coefficient of correlation =0.85 Volume Control = Willmott= Efficiency Coefficients
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Results: MIKE SHE Average computer time = 2.5 h
Variance of obs. = Variance of errors= Nash Sutcliffe= Explained Variance= Coefficient of correlation =0.85 Volume Control = Willmott= Efficiency Coefficients Thickness of soil layer -1.3 [m] Horizontal hydraulic conductivity 5*10-4 [m s-1] Vertical hydraulic conductivity 1*10-5 [m s-1] Storativity coefficient 0.2 [m-1]
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Distributed soil moisture
Saturation percentage
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TOPKAPI CALIBRATION TOOL
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Example of link ECMWF -TOPKAPI on the Po Basin
The basin closed at Ponte Spessa (Surface area 36,900 km2 ) Ponte Spessa
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The Soil Types The Land Uses
The DEM The Land Uses
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Reproduction of the 1994 event in the Po river
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ECMWF: deterministic run
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ECMWF: deterministic run
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ECMWF: deterministic run
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ECMWF: deterministic run
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ECMWF: deterministic run
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