On the channel head location using DEM

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Kickoff Meeting, Project “Mirage - Mediterranean Intermittent River ManAGEment”, 2009

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Channel head locationChannel head locationusing DEMsusing DEMs

Meeting in Bari • 22-24 September ’09

Autorità di Bacino della PugliaLR 9 dicembre 2002c/o InnovaPuglia S.p.A.www.adb.puglia.it

Politecnico di BariDipartimento di Ingegneria delle Acquee di Chimicawww.diac.poliba.it

CHANNEL HEADS

EXTENTOF CHANNEL NETWORK

Geomorphic &

HydrologicAnalyses

EnvironmentalManagement

CHANNEL NETWORK OF APULIA REGION

Estimating channel head location according scientific basis

KEY ASSUMPTIONS

LandscapeGeomorphologic form

Erosionprocesses

DYNAMIC EQUILIBRIUMbetween

SOIL PROPERTY&

CLIMATE REGIME

Channel network rapresents indeed the mark on landscapeof intermittent discharge series of flow and sediment transport

Estimating channel head location according scientific basis

KEY ASSUMPTIONS

LandscapeGeomorphologic form

Erosionprocesses

DEM analysis

Dominant sediment and transport

process

+Geomorphologic thresholds

GEOMORPHOLOGICTHRESHOLDS

= ƒ ( A, S)

Drainage Area

Surface slope

Drivers of erosion processesBut also

Indicators of past erosive actions

Estimating channel head location according scientific basis

PILOT CATCHMENT

UTM CoordinateE = 593735,06 N = 4638391,50

A = 27 SKm

BasA

EASTERN GARGANO

0.300

0.400

0.500

0.600

0.700

0.800

0.900

1.000

0.00000 0.20000 0.40000 0.60000 0.80000 1.00000

Ai / A

h i

/ h m

ax

h media

Absance of tectonic forces

Soil impermeability

MATURESTAGE

DTM 5 x 5 m

Fill Dem

Slope

Flow Directions

Flow accumulation

Energy Index

TWI

TURNOVER

40 pixel=

1100 mq

0>dAdS

0<dAdS

0.010

0.100

1.000

1 10 100 1000 10000 100000

Drainage Area [pixel]

Lo

ca

l S

lop

e [

m/m

]

n

SLOPE-AREA PLOT AvsP

[Gilbert] slope-dependent sediment transport gives rise toCONVEX PROFILE

Discharge and slope dependent sediment transport gives rise to CONCAVE PROFILES

Transition from CONVEX

to CONCAVE

profiles

=Transizione

HILLSLOPE - VALLEY

NO!! Channel Head

AvsP

TURNOVER

40 pixel=

1100 mq

0>dAdS

0<dAdS

AvsP

TURNOVER

40 pixel=

1100 mq

0>dAdS

0<dAdS

Transition from CONVEX

to CONCAVE

profiles

=Transition

HILLSLOPE - VALLEY

NO!! Channel Head

0,010

0,100

1,000

1 10 100 1000 10000 100000

Area drenata [pixel]

Pe

nd

en

za lo

ca

le [

m/m

]

0,010

0,100

1,000

1 10 100 1000 10000 100000

Area drenata [pixel]

Pe

nd

en

za lo

ca

le [

m/m

]

SA1

0,010

0,100

1,000

1 10 100 1000 10000 100000

Area drenata [pixel]

Pe

nd

en

za lo

ca

le [

m/m

]

SA1

y = 1,2354x-0,3257 R2 = 0,3192

0.010

0.100

1.000

1 10 100 1000 10000 100000

Area drenata [pixel]

Pen

den

za l

oca

le [

m/m

]

potenza1

SA1 SA2

y = 1,2354x-0,3257 R2 = 0,3192

0.010

0.100

1.000

1 10 100 1000 10000 100000

Area drenata [pixel]

Pen

den

za

local

e [m

/m]

potenza1

SA1 SA2 SA3

SA1 = 40 pixel

SA2 = 200 pixel

SA3 = 1100 pixel

AvsP

CUMULATIVE AREA DISTRIBUTION PLOT

0,001

0,01

0,1

1

1 10 100 1000 10000 100000

A* [pixel]

P(A

>A

*)

SA1 = 40 pixel CAD1

0,001

0,01

0,1

1

1 10 100 1000 10000 100000

A* [pixel]

P(A

>A

*)

CAD1

y = 11,685x-1,2068 R2 = 0,9994

0,001

0,01

0,1

1

1 10 100 1000 10000 100000

A* [pixel]

P(A

>A

*)

potenza1

CAD1

SA3 = 1100 pixel CAD2

0,001

0,01

0,1

1

1 10 100 1000 10000 100000

A* [pixel]

P(A

>A

*)

CAD1 CAD2

y = 0,5267x-0,4825 R2 = 0,9969

0,001

0,01

0,1

1

1 10 100 1000 10000 100000

A* [pixel]

P(A

>A

*)

potenza2

CAD1 CAD2

≅ -0,43 fluvial channel

CAD

ENERGY INDEX DISTRIBUTION PLOT

0,0001

0,001

0,01

0,1

1

1,000 10,000 100,000

Energy Index EI*

P(E

I>E

I*)

ASEI ⋅=

0,0001

0,001

0,01

0,1

1

1,000 10,000 100,000

Energy Index EI*

P(E

I>E

I*)

EID10,0001

0,001

0,01

0,1

1

1,000 10,000 100,000

Energy Index EI*

P(E

I>E

I*)

EID1 EID2

Slope-dependent crtical contributing area

EID

2)(tanϑC

Acr =

EID

25.0 24

=⇒=⋅=S

AASEI2

5.0 1020

=⇒=⋅=S

AASEI

EID1 EID2

ENERGY INDEX DISTRIBUTION PLOT

0,0001

0,001

0,01

0,1

1

1,000 10,000 100,000

Energy Index EI*

P(E

I>E

I*)

EID1 EID2

Slope-dependent crtical contributing area

AvsPCADEID

0,01

0,1

1

1 10 100 1000 10000 100000

Area drenata [pixel]

Pe

nd

en

za lo

ca

le [

m/m

]

0,01

0,1

1

1 10 100 1000 10000 100000

Area drenata [pixel]

Pe

nd

en

za lo

ca

le [

m/m

]

SG1 SG20,01

0,1

1

1 10 100 1000 10000 100000

Area drenata [pixel]

Pe

nd

en

za lo

ca

le [

m/m

]

SG1 SG2 EID1

EID2

VERSANTI.basA: if(($tca.basA$<40),5,null)VALLI.basA: if(($tca.basA$>=40)&&($EI.basA$<4),4,null)HEAD.basA: if(($EI.basA$>=4)&&($ tca.basA$<1100),3,null)RETICOLO.basA: if($tca.basA$<1100,null,2)

y = 151,08e-0,9204x

R2 = 0,9473

y = 19,069e0,4895x

R2 = 0,9855

y = 351,38e1,4369x

R2 = 0,9741

1

10

100

1.000

10.000

100.000

1.000.000

1 2 3 4

u

Nu

,Lu

*,A

u

u vs. Nu u vs. Lu* u vs. Au

1 ̂legge di Horton 2 ̂legge di Horton legge di Schumm

0

5

10

15

20

25

0 0,5 1 1,5 2 2,5 3

t [h]

Q [

mc

/s]

RA

RB

RL

LGIUH

• Abrahms A.D.; Channel networks: A geomorphological perspective; Water Resources Research, 25, 29-49; 1984• Flint J.J.; Stream gradient as a function of order, magnitude and discharge; Water Resource Research, 10 (5), 969-973; 1974 • Gilbert G.K.; The convexity of hill tops; Journal of Geology, 17, 344-350; 1909• Kirkby M.J.; Hillslope process-response models based on the continuity equation; Institute of British Geographers, Special Publication, 3, 15-30; 1971• Kirkby M.J.; The stream head as a significant geomorphic threshold; Thresholds in Geomorphology, Allen & Unwin, 53-73; 1980• McNamara J.P., Ziegler A.D., Wood S.H., Vogler J.B.: Channel head locations with respect to geomorphologic thresholds derived from a digital elevation model: A casa study in northern Thailand; Forest Ecology and Management, 224, 147-156; 2006• Montgomery D.R., Dietrich W.E.; Source areas, drainage density and channel initiation; Water Resource Research, 25, 1907-1918; 1989• Montgomery D.R., Foufoula-Georgiou E.; Channel network source representation using digital elevation models; Water Resources Research, 29, 12, 3925-3934; 1993• Rodriguez-Iturbe I., Rinaldo A., Rigon R., Bras R.L., Marani A., Ijjasz-Vasquez E.; Energy dissipation, runoff, and the three-dimensional structure of river basins; Water Resources Research, 28 (4), 1095-1103; 1992a

Bari, 24/09/2009

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