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Generalized Darcy equation. Distributed. 1. Hydrological modeling ... Generalized Darcy equation. 1. Hydrological modeling. TOPKAPI Model (Liu and Todini, 2002) ... – PowerPoint PPT presentation

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Title: Tho VISCHEL, Geoff PEGRAM, Scott SINCLAIR


1
Remote Sensing and Hydrology in Southern Africa
Théo VISCHEL, Geoff PEGRAM, Scott SINCLAIR Cork,
3rd April 2008
2
SOIL MOISTURE FROM SATELLITES Daily maps over
Republic of South Africa
Soil moisture estimation
1. Satellites
SAHG products ? Temperature gradient IR
(MeteoSat)
TUWIEN products ? Scatterometer (ERS1-2, MetOP)
? ASAR (ENVISAT)
2. Local probes
3. Hydrological modeling
Comparison with satellite estimations
3
OVERVIEW
  • Hydrological modeling
  • 2. From conceptual catchments
  • 3. to a real catchment
  • 4. Results
  • 5. Conclusion and discussion

4
1.
Hydrological Modeling
5
1. Hydrological modeling
TOPKAPI Model (Liu and Todini, 2002)
Modeled processes
  • 1. Soil
  • Infiltration
  • all the water infiltrates until soil saturation
  • ? preferential paths
  • Transfer
  • 2. Overland flows
  • Production
  • exfiltration or production on saturated areas
  • Transfer
  • 4. Channel flows
  • Transfer

Infiltration
Saturation
Exfiltration
Transfer
6
1. Hydrological modeling
TOPKAPI Model (Liu and Todini, 2002)
Modeled processes
  • 1. Soil
  • Infiltration
  • all the water infiltrates until soil saturation
  • ? preferential paths
  • Transfer

Distributed
  • 2. Overland flows
  • Production
  • exfiltration or production on saturated areas
  • Transfer
  • 4. Channel flows
  • Transfer

5. Evapotranspiration
7
1. Hydrological modeling
TOPKAPI Model (Liu and Todini, 2002)
Modeled processes
  • 1. Soil
  • Infiltration
  • all the water infiltrates until soil saturation
  • ? preferential paths
  • Transfer

Distributed
Distributed
Physically based
  • 2. Overland flows
  • Production
  • exfiltration or production on saturated areas
  • Transfer
  • 4. Channel flows
  • Transfer

5. Evapotranspiration
8
1. Hydrological modeling
TOPKAPI Model (Liu and Todini, 2002)
Distributed
Distributed
Physically based
  • Continuity of mass
  • Generalized Darcy equation
  • Continuity of mass
  • Mannings equation

Non-linear ODE
9
2.
From conceptual catchments
10
2. From conceptual catchments
Mathematical and numerical aspects
11
2. From conceptual catchments
Mathematical and numerical aspects
0
1
2
3
4 cells
Stable Fast
1. Runge-Kutta-Fehlberg
Unstable Very fast
2. Quasi-analytical solution
? Implementation of the core of the model in
Python
12
2. From conceptual catchments
Cell connectivity automation
13
2. From conceptual catchments
A new evapotranspiration scheme
Non saturated case
Saturated case
Evapotranspiration
Evapotranspiration
Overland
Gross infiltration
Gross infiltration
Soil layer
Lateral transfers
Lateral transfers
No evaporation of the overland flows ? Soil never
saturated
  • During ?t
  • Infiltrationtransfers
  • During ?t
  • Infiltrationtransfers
  • At t?t
  • Evapotranspiration
  • At t?t
  • Evapotranspiration

Liu and Todini version
14
2. From conceptual catchments
A new evapotranspiration scheme
Saturated case
Evapotranspiration
New version
Overland
Re-infiltration of overland flow ? Overland flow
evaporation
  • During ?t
  • Infiltrationtransfers
  • At t?t
  • Evapotranspiration
  • Re-infiltration

15
3.
to a real catchment
16
3. to a real catchment
17
3. to a real catchment
Liebenbergsvlei (4625 km2)
18
3. to a real catchment
Liebenbergsvlei (4625 km2)
  • Semi-arid climate
  • - Mean annual rainfall
  • 600-700 mm
  • - Mean annual ETP
  • 1400-1500 mm

South Africa
19
3. to a real catchment
Liebenbergsvlei (4625 km2)
  • Landscape
  • - Hills to steep relief
  • - Grassland/Cropland

South Africa
20
3. to a real catchment
Liebenbergsvlei (4625 km2)
  • Landscape
  • - Hills to steep relief
  • - Grassland/Cropland

South Africa
  • Soil

Soil texture from WR90 (1994)
Soil type from SIRI (1987)
21
3. to a real catchment
Data availability
Liebenbergsvlei (4625 km2)
20 km
22
3. to a real catchment
Data availability
Protocol
Parameter adjustment
Comparison between modeled and remotely sensed
soil moisture
23
3. to a real catchment
Estimation a priori of the model parameters
Soil texture from WR90 (1994)
Soil type from SIRI (1987)
DEM from DLSI (1996)
Land use/Land cover from GLCC (1997)
Resolution 1km²
Calibration of the model is required
24
3. to a real catchment
Parameter adjustment methodology
25
3. to a real catchment
Parameter adjustment methodology
CALIBRATION
  • Over one season 8 months

Initial soil moisture
  • Based on the subcatchment flows
  • At a 6 hours time step

26
4.
First results
27
4. First results
CALIBRATION
Season 1
2
  • Initial soil moisture 40
  • fac_Ks 100.
  • Ks 0.3-2 m/h

Lateral transfers in preferential paths
28
4. First results
CALIBRATION and VALIDATION
Season 1
Season 2
2
Satisfactory flow simulations ? Soil moisture
1
2
29
4. First results
  • Comparison between
  • Modeled soil moisture
  • Remotely sensed soil moisture
  • Product from TUWIEN
  • Scatterometer (Radar) ERS-1 et ERS-2
  • Active
  • 5.3 GHz (C band)
  • Resolution 50 km
  • Global daily covering 40
  • Repeat cycle at a point 7 3 days

30
4. First results
  • Comparison between
  • Modeled soil moisture
  • Remotely sensed soil moisture
  • Product from TUWIEN

1. Resampling onto a global grid
2. Dry and wet reference backscatter
3. Relative surface soil moisture
4. Profile soil moisture values using a
simple infiltration model
Soil Water Index - SWI 10 day intervals
31
4. First results
  • Comparison between
  • Modeled soil moisture
  • Remotely sensed soil moisture
  • Product from TUWIEN
  • Soil Water Index - SWI
  • TOPKAPI simulations
  • Soil Water Index - SWI

32
4. First results
At catchment scale
Season 1
Season 2
R20.780
R20.922
33
4. First results
At catchment scale
Season 1
34
4. First results
At catchment scale
3 months of wetting Philip a touch of
Hysteresis?
Season 1
35
4. First results
At footprint scale
36
4. First results
At footprint scale
37
4. First results
At footprint scale
Season 2
Season 1
38
5.
CONCLUSION DISCUSSION
39
5. Conclusion discussion
Two different approaches of soil moisture
estimation Hydrological modeling and Remote
sensing
Good correspondence!
Very encouraging results for
Hydrological modeling
Remote sensing
  • Use of remote sensed soil moisture
  • - Validation
  • - Initialization
  • - Assimilation
  • Use of hydrological models
  • - Validation
  • - Disaggregation

40
5. Conclusion discussion
Why such good results? Peters-Lidard, C.
(EGU, 2007)
  • The SWI (Soil Water Index) is considered
  • ?Relevance of lateral transfers
  • Scatterometer better on low vegetated area
  • ?Grassland/Cropland
  • The remotely sensed SWI comes from a simple
    conceptual infiltration model
  • ?Parameters suited to the studied region

41
5. Conclusion discussion
Next steps
  • Explicit modeling of surface processes

42
5. Conclusion discussion
Next steps
  • Explicit modeling of surface processes

Evapotranspiration
Evapotranspiration
Explicit Infiltration
Runoff
First 5 cm of soil
Gross infiltration
Gross Infiltration
Lateral transfers
Lateral transfers
Future version
Actual version
  • Runoff/Infiltration partition
  • ? Infiltration excess runoff

43
5. Conclusion discussion
Next steps
  • Explicit modeling of surface processes

Evapotranspiration
Evapotranspiration
Explicit Infiltration
First 5 cm of soil
Gross infiltration
Gross Infiltration
Lateral transfers
Lateral transfers
Future version
Actual version
  • Runoff/Infiltration partition
  • ? Infiltration excess runoff
  • 2. Raw satellite measurements
  • From Soil Water Index
  • to Surface Wetness Index
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