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Technical Manual
Centre de recherche sur lenvironnement alpin (CREALP)
HydroCosmos SA
RS M!ER"E
RS M!ER"E # Technical Manual v$%&
October 2015
For Software version 2.0.0.1
Approved for Public Release. Distribution Unliited
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Centre de recherche sur lenvironnement alpin (CREALP)
HydroCosmos SA
Authors'
avier ARCA HER!A!*E+ !R"A#P
avier PARE*ES AR,-.LA UP$
Alain /.EH! !R"A#P
0astien R.,-ER %&dro!osos S.A.
Please refer t'is tec'nical anual as (
arc1a Hern2nde34 %4 Paredes Ar5uiola4 %4 /oehn4 A% and Ro5uier4 0% ($6&7)% RS MINERVE Technical manual v2.1% RSM!ER"E roup4 S8it3erland%
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RS )*+"R$" , -ec'nical )anual Pae /120
Index
-ec'nical )anual ....................................................................................................................... 1
Foreword ................................................................................................................................ /
!'apter 1. *ntroduction ...................................................................................................... 5
1.1. )anuals structure ................................................................................................... 5
!'apter 2. %&droloical and '&draulics odels description .............................................. 3
2.1. #ist of ob4ects ........................................................................................................... 3
2.2. $irtual eat'er Station ........................................................................................... 6
2.7. Snow89S) odel description ............................................................................... 12
2./. Runoff :S)); odel description ....................................................................... 1/
2.5. 9S) odel description ......................................................................................... 15
2.3. SO!O+- odel description ................................................................................... 1
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/.7. S'uffled !opleE "voluation , Universit& of AriCona ........................................... 5?
/./. Unifor Adaptive )onte !arlo ............................................................................. 35
/.5. !oupled #atin %&percube and Rosenbroc ............................................................ 36
!'apter 5. $isual =asic Scripts .......................................................................................... 61
5.1. *ntroduction to $isual =asic Scripts ....................................................................... 61
5.2. Application Start .................................................................................................... 62
5.7. )odel preparation ................................................................................................. 67
5./. Siulation and reports ..........................................................................................
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/ore8ord
RS )*+"R$" is a software for t'e siulation of free surface run8off flow foration and
propaation. *t odels copleE '&droloical and '&draulic networs accordin to a sei8
distributed conceptual sc'ee. *n addition to particular '&droloical processes suc' as
snowelt lacier elt surface and underround flow '&draulic control eleents :e..ates spillwa&s diversions 4unctions turbines and pups; are also included.
-'e lobal anal&sis of a '&droloic8'&draulic networ is essential in nuerous decision8
ain situations suc' as t'e anaeent or plannin of water resources t'e optiiCation
of '&dropower plant operations t'e desin and reulation of spillwa&s or t'e developent
of appropriate flood protection concepts. RS )*+"R$" aes suc' anal&ses accessible to a
broad public t'rou' its user8friendl& interface and its valuable possibilities. *n addition
t'ans to its odular fraewor t'e software can be developed and adapted to specific
needs or issues.
RS )*+"R$" contains different '&droloical odels for rain9all#runo994 such as SM
S.C.!T SAC#SMA R: and H0". -'e cobination of '&draulic structure odels
:reservoirs turbines spillwa&sG; can also reproduce copleE '&dropower sc'ees. *n
addition a hydropo8er model coputes t'e net 'ei't and t'e linear pressure losses
providin ener& production values and total incoe based on t'e turbine perforance and
on t'e sale price of ener&. A consumption modelcalculates water deficits for consuptive
uses of cities industries andor ariculture. A structure e99iciency model coputes
disc'are losses in a structure suc' a canal or a pipe b& considerin a siple efficienc&
coefficient.
-'e RS E;pertmodule specificall& created for researc' or copleE studies enables in8dept'
evaluation of '&droloic and '&draulic results. Time#slice simulationfacilitates t'e anal&sisof lare data sets wit'out overloadin t'e coputer eor&. Scenario simulation
introduced t'e possibilit& of siulatin ultiple weat'er scenarios or several sets of
paraeters and initial conditions to stud& t'e variabilit& and sensitivit& of t'e odel results.
-'e automatic calincia; collaborate toiprove RS )*+"R$" and use it to support postraduate courses in !ivil "nineerin and
"nvironental Sciences. Ot'er collaborations suc' as wit' t'e Hydro&6 Association
copleent and en'ance t'e developent of RS )*+"R$".
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!'apter 1. *ntroduction
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Chapter &% ntroduction
-'e Routin S&ste ** prora was developed at t'e #aborator& of %&draulic !onstructions
:#!%; at t'e "cole Pol&tec'niBue FHdHrale de #ausanne :"PF#; :Dubois et al. 2000I 9arcJa
%ernKndeC et al. 2006;.
-'e prora presented 'ereafter RS )*+"R$" is based on t'e sae concept t'an Routin
S&ste **. RS )*+"R$" is developed b& t'e !R"A#P and %&dro!osos SA wit' t'e
collaboration of t'e #aborator& of %&draulic !onstructions :#!%; at t'e "cole Pol&tec'niBue
FHdHrale de #ausanne :"PF#; and t'e Universitat PolitLcnica de $alLncia :UP$;.
&%&% Manuals structure
-'e presented -ec'nical anual is oranised in ei't c'apters(
1. *ntroduction
2. %&droloical and '&draulic odels description
7. Perforance indicators
/. !alibration alorit's
5. $isual basic scripts
3. Files forats
6. Database forats
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Chapter $% Hydrolo?ical and hydraulics models description
-'is c'apter presents t'e '&droloical ob4ects eEistin in RS )*+"R$" software.
$%&%
List o9 ounction:ob4ect wit'out paraeters or paired data;
o -ie Series :see 2.11;
o Source :ob4ect wit'out paraeters or paired data but onl& a lin to t'e database;
o !oparator :ob4ect wit'out an& paraeters or paired data;
o Sub8odel:ob4ect wit'out an& paraeters or paired data;
o 9roup *nterface:ob4ect wit'out an& paraeters or paired data;
Structures(
o Reservoir :see 2.12;
o #evel8Disc'are relation %@ :see 2.17;
o -urbine :see 2.1/;
o -urbineD= :ob4ect wit'out paraeters or paired data but onl& a lin to t'e
database;
o %&dropower :see 2.15;o Diversion :see 2.13;
o !onsuer :see 2.16;
o Structure "fficienc& :see 2.1
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= CoeffTs!
$ %&' + (i,s
$ (
i,s%&'
)
= CoeffETPs!
$ %&' + (i,s$ (i,s%&' )
:A.
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!'apter 2. %&droloical and '&draulics odels description
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R value is a location dependent :latitude and lonitude; ont'l& averae of t'e lobal
radiation.
-'e lobal radiation R is obtained in X'2da& fro t'e Global horizontal radiation
dataset provided b& t'e Surface eteoroloical and Solar "ner& :SS"; web portal
sponsored b& t'e +ASAs Applied Science Prora :'ttp(eosweb.larc.nasa.ovsse;. -'isdata coes as a rid :latitude and lonitude; and is coposed of ont'l& averaed values.
Rdata taes into account 22 &ear ont'l& averae :>ul& 1?une 2005;. -'e latitude and
t'e lonitude values indicate t'e lower left corner of a 1E1 deree reion. +eative values
are sout' and westI positive values are nort' and east. =oundaries of t'e 8?081
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c) .udin
Oudin :200/; proposes followin eBuation for t'e calculation of "-P(
=CoeffETP
J /K J FJ + .(11 23 4 . = 1 23 . :A.12;with "-P( potential evapotranspiration XdI Re( eEtra8terrestrial radiation X)> 82 d81 I -( Airteperature XV! I Z( water densit& constant value of 1000 X
7 I [( latent 'eat of vaporiCation
constant value of 2.23 X)>.
Oudin et'od coefficients :5 and 100; were optiiCed for t'e '&droloical odellin on t'e
basis of a stud& realiCed on an& worldwide waters'eds :Oudin 200/;.
#atitude are onl& necessar& for obtainin Revalues
-'e eEtra8terrestrial radiation Reis calculated as follows(
/K= D6HJ JL Jsi9MJsi9N+si9LJOosMJOosN :A.17; = ( + 161 J Oos J Q J RSH. :A.1/;L = A?OOos:A9MJ:A9N :A.15;N = 1671Jsi9 J Q J RH. (6 :A.13;
RS= D. JUVWXY
1 + ZU 23 UVWXY [ RS= D. J UVWXY ( + ZU 23 UVWXY \ ]W _]` _] = Xa_RS= D. J UVWXY + ZU 23 UVWXY \ ]W _]` _] = 3]^b_ :A.16;
withdr( relative distance Sun8"art' X8 I ( solar declination Xrad I >d( >ulian da& X8 I ( latitude
neative in t'e sout' 'eisp'ere XradI ( 'our anle of t'e sun XradI month( ont' of t'e &ear 1
to 12 X8 I D (da& of t'e ont' X8.
d) -ni9orm ETP
-'e user can also set a unifor "-P for t'e w'ole siulation period and for t'e entire basin.
= cV_33 J d :A.1
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$%B% Sno8#SM model description
-'e Snow89S) odel :Fiure 2; is coposed of two sub8odels w'ic' siulate t'e
transient evolution of t'e snow pac :accuulation and elt; as a function of t'e
teperature :-; and precipitation :P; producin an eBuivalent precipitation :PeB; w'ic' can
be used as an input variable b& t'e SA!8S)A or 9R/> odel.
/i?ure $ Snow89S) odel
Ta
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= 1 23 [ h' = h'jh h' 23 h'[ [ h = ( 23 4 h :=.7;with P\( liBuid precipitation X#-I ( separation factorI P( precipitation X#-I +( solid precipitation
X#-I -: teperature XV!I -cp1( iniu critical teperature for liBuid precipitation XV!I -cp2(aEiu critical teperature for solid precipitation XV!.
*f t'e observed teperature is lower t'an -cp1 onl& solid precipitation is produced. *f t'e
teperature is 'i'er t'an -cp2 onl& liBuid precipitation is produced. *f t'e teperature
observed is found between t'ese two critical values liBuid and solid precipitation are
produced. -'e solid precipitation :+; is used as input for t'e snow pac var&in its content
as a function of elt or freeCin. -'e snowelt calculation is perfored as follows(kl= m%J ( + nJ J h 23 4 hkl= m%J h 23 h
:=./;
pjX = g klkl g + pjXkl\ qljX :=.5;with )+( snowelt or freeCin X#-I An: deree8da& snowelt coefficient X#-V!; bp:precipitation
coefficient due to elt X-#I -cf( critical snowelt teperature XV!I %( snow 'ei't X#I +( water
content X#I dt( tie step X-.
-'e eBuivalent precipitation :PeB; is produced b& t'e water content of t'e snow :equations
=.6 to=.8;(
r = qljp :=.3;
K= + qljX 23 p = 1K= 1 23 p 4 1 _X r rhtK= r rht J pjX 23 p 4 1 _X r 4 rht :=.6;qljX = + kl K :=.
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$%:% Runo99 (SMM) model description
-'e S)) :Stor ater )anaeent )odel; odel presented 'ereafter was developed
b& )etcalf and "dd& :1?61;.
/i?ure B S)) Runoff odel
Tao( averae slope of t'e plane X8I #( lent' of t'e plane X#I A(run8off surface X#2.
-'e variable for t'e initial condition associated to t'e odel is %r. -'e paraeter to ad4ust is
. -'e ot'er paraeters :>o # A; are supposed to be constant.
-'e S)) odel supplied b& a '&etorap' of net rainfall :i+et; provides a '&drorap'
downstrea of t'e surface :@;.
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$%7% SM model description
-'e 9S) odel :Fiure /; is coposed of 5 sub8odels two correspondin to t'e Snow8
9S) odel and t'e ot'er t'ree correspondin to t'e lacier odel. -'e 'ereafter present
odel allows an eas& construction of t'is ind of coposition.
Fro t'e inputs of precipitation :P; and teperature :-; t'e snow odel creates an
eBuivalent precipitation :PeB; w'ic' is transferred to t'e lacier odel. -'e sae accounts
for t'e 'ei't of t'e snow :%snow; and t'e teperature :-;.
*n t'e lacier odel t'e eBuivalent precipitation is transferred to t'e linear snow reservoir
:Rsn; and finall& to t'e outlet of t'e sub8catc'ent :@snow;. =esides t'e sub8odel of t'e
lacier elt creates a flow w'en t'e 'ei't of snow is Cero :% snowW0;. -'is lacier flow :PeB9#;
is transferred to t'e linear lacier reservoir :Rl; and t'e resultin flow :@lacier; to t'e outlet
of t'e sub8catc'ent.
-'e final flow :@tot; produced b& t'e sub8catc'ent is t'e addition of t'e two flows :@lacierand @snow;.
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/i?ure : 9S) odel
Ta
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-'e eBuivalent precipitation :PeB; is produced b& t'e water content of t'e snow :equations
.6 to.8;(r = qljp :F.3;K= + qljX 23 p = 1K= 1 23 p 4 1 _X r rhtK= r rht J pjX 23 p 4 1 _X r 4 rht :F.6;qljX = + kl K :F.
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Ta
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with )+( snowelt or freeCin X#-I An: deree8da& snowelt coefficient X#-V!; bp:precipitation
coefficient due to elt X-#I -cf( critical snowelt teperature XV!I %( snow 'ei't X#I +( water
content X#I dt( tie step X-.
-'e eBuivalent precipitation :PeB; is produced b& t'e water content of t'e snow :equations
G.6 to G.8;(r = qljp :9.3;K= + qljX 23 p = 1K= 1 23 p 4 1 _X r rhtK= r rht J pjX 23 p 4 1 _X r 4 rht :9.6;qljX = + kl K :9.
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-'e input variables of t'e odel are t'e precipitation :P; t'e teperature :-; and t'e
potential evapotranspiration :"-P;. -'e output value is t'e eBuivalent precipitation :PeB;.
-'e outflow disc'are @tot coposed b& t'e base disc'are :@9R7; and t'e run8off disc'are
:@r; is finall& transferred to t'e outlet of t'e sub8catc'ent.
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$%D% H0" model description
-'e interated rainfall8runoff odel %=$ :=erstr_ 1?63 1??2; is coposed of a snow
function a 'uidit& reservoir and two :upper and lower; soil storae reservoirs. -'e
structure of t'e ipleented odel is presented in t'e Fiure 3.
/i?ure %=$ odel
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Ta
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with )sn( snowelt or freeCin X#-I C)a*: deree8da& eltin factor X#-V!I C%( refreeCin
factor X8ITT()( critical snowelt teperature XV!I +snow( snow 'ei't X#I +water( water content X#I
dt( tie step X-.
-'e eBuivalent precipitation :'eq; is produced b& t'e water content of t'e snow :equations
%.3to%.
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with 2per( Percolation storae coefficient X1- I 2u( *nterflow storae coefficient X1- I i'er(
Percolation intensit& X#- I u( *nterflow X#7-.
Afterwards t'e lower reservoir :or baseflow reservoir; correspondin to t'e lower soil
storae is calculated as presented in eBuations %.13 and %.16
yjX = 2 5J yy \ 1 :%.13;z = 5J y J m :%.16;
with(5( #ower reservoir water level X#I 2l( =aseflow storae coefficient X1-I l( =aseflow X#7-.
And finall& t'e total outflow is(zuvu= zt+ z+ z :%.1
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$%% R: model description
-'e 9R/> odel is a lobal '&droloical odel wit' four paraeters developed b& Perrin et
al. :2007;. *t is an epirical odel :Fiure 6; but its structure is siilar to t'e conceptual
odels. *t taes into account t'e 'uidit& and contains two reservoirs :production and
routin;. Unit '&drorap's are also associated for t'e '&droloical be'aviour of t'e basin.
/i?ure D 9R/> odel
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Ta
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z = X / + z + 2 J X J ( ( + / + z + 2 J Xdx ' :*.1/;
withiF ( eEc'ane function X#- I 2 ( water eEc'ane coefficient positive for contributions neative
for losses due to infiltration or Cero w'en no eEc'ane is produced X#I R ( water level in t'e routin
reservoir X# I 7 ( one da& capacit& of routin reservoir X#I @r( unitar& routin reservoir outflow
X#-.
-'e variation of t'e water level in t'e routin reservoir is(/jX = z 2 z/ \ 1 :*.15;-'e outflow @1 fro '&drorap' U%2 'as also t'e sae eEc'ane for providin t'e
copleentar& flow @d(
z = z( + 2 :*.13;with@d( unitar& copleentar& outflow X#-.Finall& t'e odel outflows are calculated as presented in eBuations *.16 and *.1< and t'e
total flow at t'e outlet @tot as presented in eBuation *.1?(z = z J m :*.16;z = z J m :*.1
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$%F% SAC#SMA model description
-'e SA!8S)A :Fiure
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Ta
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-'e aEiu fraction of an additional ipervious area due to saturation :Adimp;. *t
represents t'e aEiu portion of reservoirs and teporar& waters'eds contained
in t'e basin.
-'us t'e peranent pervious area fraction of t'e basin is calculated followin eBuation >.1
]_] = ( X2U + m2U` :>.1;withParea ( peranent pervious area fraction of t'e basin X8 I Pcti ( peranent ipervious areafraction X8 I Adip ( aEiu fraction of an additional ipervious area due to saturation X8.
*t is wort' entionin t'at t'e be'aviour of t'e additional ipervious area i't be purel&
pervious purel& ipervious or iEed dependin on t'e storae of t'e peranent pervious
and ipervious areas. -'e pervious capacit& :or fraction; of t'is area will decrease as t'e
rainfall rows.
As s'own in t'e Fiure
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with -( relative content of Upper Qone -ension ater X8I F( relative content of Upper Qone Free
ater X8I UCtr( infiltration transfer fro t'e Free ater storae to t'e -ension ater storae X#-I
UCtw!( t'e Upper Qone-ension ater storae X#I UCtw)aE( t'e Upper Qone -ension ater capacit&
X#I UCfw!( t'e Upper Qone Free ater storae X#I UCfw)aE( t'e Upper Qone Free ater capacit&
X#.
Alt'ou' free water is present durin fillin of Upper Qone -ension ater :b& infiltration;
t'is free water is rapidl& transfored into Upper Qone -ension ater until tension water
relative content reBuireents are satisfied.1
*n addition w'en t'e Upper Qone -ension ater volue 'as been filled eEcess oisture
above t'e Upper Qone-ension ater capacit& is accuulated in t'e Upper Qone Free ater.
-pper +one /ree ater stora?e
-'is storae represents t'e water not attac'ed to t'e soil particles and free to ove under
ravitational forces. -'e water t'at reac'es t'is reservoir coes fro t'e infiltration of t'e
Upper Qone-ension ater storae
-'e followin concepts are defined(
-'e Upper Qone ree ,ater )a*imum capacit& :-398Ma;; is t'e aEiu Free
ater storae adissible in t'e Upper Qone.
-'e Upper Qoneree ,ater Content :-398C; is t'e Free ater stored in t'e Upper
Qoneat an& iven tie.
-'e $nterlow depletion rate :-3G; represents t'e portion of t'e Upper Qone Free
ater t'at is transferred outside as interflow.
-'e water a& be depleted b& evapotranspiration percolation to t'e #ower Qone or
'oriContal flow :surface runoff and interflow;.
On t'e one 'and t'e percolation to t'e #ower Qone is coputed prior to t'e interflow
coputation as it is its preferred pat'. *t depends on t'e deficienc& of t'e #ower Qone
oisture volues on t'e soil properties and on t'e water relative storae in t'is reservoir.
-'e first 2 factors define t'e percolation deand fro t'e #ower Qone :DDA;. -'is deand
represents t'e percolation in case of total percolation availabilit& on t'e Upper Qone Free
ater storae.
]b_ = y3`k] y` +y3bk] yb :>.3;
Z/ =yXk] yXc + y3`k] y3`c + y3bk] y3bcyXk] +y3`k] +y3bk] :>.6;ZZm = ]b_ ( + `_ Z/{K :>.
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percolation rates X8I D"FR( relative #ower Qonewater deficienc& X8I ReEp( s'ape paraeter of t'e
percolation curve X8.
-'e effective percolation depends on t'e percolation deand and t'e ratio between t'e
Upper Qone Free ater content and t'e Upper Qone Free ater capacit& as s'own in
eBuation >.?. *n addition t'e effective percolation is liited b& t'e 'uidit& content in t'eUpper Qone and also b& t'e deficienc& in t'e #ower Qone :eBuations >.10 and >.11
respectivel&;(/c = ZZm 3c3k] :>.?;/c 3cjX :>.10;/c yXk]yXc + y3`k] y3`c + y3bk]y3bcjX :>.11;
with P"R!( real percolation X#-I DDA( #ower Qone aEiu percolation deand X#-I UCfw!(
Upper Qone Free ater content X#I UCfw)aE(Upper Qone Free ater capacit& X#.
On t'e ot'er 'and t'e interflow occurs onl& w'en t'e rate of precipitation eEceed t'e rate
at w'ic' downward otion can occur fro t'e Upper Qone Free ater. *t depends on t'e
water content and on its interflow depletion rate UC as s'own in eBuation >.12(z%uKtv|= 3c ]_] m :>.12;with@interflow( interflow X#
7-I UC( interflow depletion rate fro t'e Upper Qone Free water storae
X-81
I UCfw!( Upper Qone Free ater content X#I Parea ( pervious area fraction of t'e basin X8I A(
surface of t'e basin X#2.
)oreover w'en t'e Upper Qone Free ater storae is copletel& full and t'e precipitation
intensit& eEceeds bot' t'e percolation rate and t'e aEiu interflow drainae capacit&t'e eEcess precipitation results in surface runoff @SurfRunoff.
Lo8er +one Tension ater stora?e
-'is storae represents t'e sei8saturated Cone. *t c'aracteriCes t'e volue of oisture in
t'e lower soils w'ic' will be claied b& dr& soil particles w'en oisture fro a wettin front
reac'es t'at dept'. -'e water is consued t'rou' evapotranspiration proportionall& to
t'e reainin "-P of t'e Upper Qone -ension ater storae.
-'e water reac'in t'is reservoir coes fro t'e Upper Qone percolation. One fraction
:Pfree; of t'is percolation oes directl& to t'e Free ater storaes even if t'e -ension
ater storae is not &et full and t'e ot'er fraction :18Pfree; oes to t'e -ension aterstorae of t'e #ower Qone
2.-'e water also reac'es t'is storae fro transfers between
t'e ot'er #ower Qone Free ater storaes.
-'e followin concepts are defined(
-'e #ower Qone Tension ,ater )a*imum capacit& :L3t8Ma;; is t'e aEiu
-ension ater storae adissible in t'e #ower Qone.
2*f t'e -ension ater storae of t'e #ower Qone is copletel& full t'en percolation oes entirel& to t'e 2 Free
ater storaes.
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-'e #ower QoneTension ,ater Content :L3t8C; is t'e -ension ater stored in t'e
#ower Qone at an& iven tie.
*f t'e relative content of -ension ater :ratio between its content and its aEiu storae;
is saller t'an t'e relative content of Free ater t'e incoin eEcess is transferred fro
Free ater to -ension ater. -'e eEpressions of bot' ratios are s'own in eBuations >.17 to>.15( /q = /b_ y3`k] +y3bk] :>.17;
= yXcyXk] :>.1/; = y3`c +y3bc /qy3`k] +y3bk] /q :>.15;
with -( relative content of #ower Qone -ension ater X8I F( relative content of #ower Qone Free
ater X8I RF( #ower Qone Free ater not transferable to #ower Qone -ension ater susceptible
to becoe baseflow X#I Rserv( fraction of #ower Qone Free ater not transferable to #ower Qone-ension aterX8.
*f t'e relative content of t'e #ower Qone -ension ater is saller t'an t'e relative fullness
of t'e lobal #ower Qone a water transfer D"# occurs fro t'e #ower Qone Free
Suppleentar& reservoir to t'e #ower Qone -ension ater reservoir as described b& t'e
followin eBuations(
/ = y3`c + y3bc + yXc /qy3`k] +y3bk] +yXk] /q :>.13;
Zy = yXk] / jX :>.16;
withD"#( t'e Free8-ension ater transfer in t'e #ower Qone X#-I R( ratio between t'e available
water for evapotranspiration and t'e total water content in t'e w'ole #ower Qone X8I RF( #ower
Qone Free ater not transferable to #ower Qone -ension ater susceptible to becoe baseflow X#.
Lo8er +one Primary and Supplementary /ree ater stora?es
-'is storae represents t'e saturated Cone of t'e subsoil i.e. t'e aBuifer. -'ere are two
t&pes of #ower Qone Free ater( a priar& t&pe wit' a ver& slow drainin providin baseflow
over lon periods of tie and a suppleentar& t&pe w'ic' suppleents t'e baseflow after
a period of relativel& recent rainfall.
-'e water t'at reac'es t'ese storaes coes fro t'e 'reefraction of t'e percolation oft'e Upper Qone Free ater. -'is fraction is distributed into t'e priar& and suppleentar&
storaes accordin to t'eir deficienc& of water.
-'e followin concepts are defined(
-'e #ower Qoneprimar7 ree ,ater )a*imumcapacit& :L39pMa;; is t'e aEiu
priar& water storae adissible in t'e #ower Qone.
-'e #ower Qoneprimar7 ree ,ater Content:L39pC; is t'e priar& Free ater stored
in t'e #ower Qone at an& iven tie.
-'e epletion rate o the 5ower 9one primar7 ree ,ater stora/e :L3pG; is t'e
portion of priar& Free ater t'at drains as baseflow per da&.
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-'e #ower Qone supplementar7 ree ,ater )a*imum capacit& :L39sMa;; is t'e
aEiu suppleentar& water storae adissible in t'e #ower Qone.
-'e #ower Qonesupplementar7 ree ,ater Content:L39sC; is t'e suppleentar& Free
ater stored in t'e #ower Qone at an& iven tie.
-'e epletion rate o the 5ower 9one supplementar7 ree ,ater stora/e:L3sG; is t'e
portion of suppleentar& Free ater t'at drains as baseflow per da&.
-'e drained water leavin t'ese two storaes :priar& flow @priar&and suppleentar& flow
@suppleentar&; follows t'e Darc&s law and fors t'e baseflow of t'e #ower Qone @#ower Qoneas
s'own in eBuations >.1< to >.20(ztGt= y` y3`c ]_] m :>.1.1?;z~v|Kt v%K= ztGt+ zKK%uGt
:>.20;
with @priar&( priar& baseflow X#7-I @suppleentar&( suppleentar& baseflow X#
7-I @#ower Qone( total
baseflow produced in t'e #ower Qone X#7-I #Cp( depletion rate of t'e #ower Qone priar& Free
ater storae X-81
I #Cfp!( #ower Qone priar& Free ater !ontent X#I #Cs( depletion rate of t'e
#ower Qone suppleentar& Free ater storae X-81
I #Cfs!( #ower Qone suppleentar& Free ater
!ontent X#I Parea ( pervious area fraction of t'e basin X8I A( surface of t'e basin X#2.
-'e odel allows includin baseflow losses called subsurface flow @SubSurf due to t'e
eEistence of eoloical faults fractured rocs etc. t'at lead to filtrations t'rou'out t'e
aBuifer. -'e (ideparaeter captures t'ese losses as s'own in eBuation >.21(
zt= 2_ zGKv| :>.21;
withSide( ratio of deep percolation fro #ower Qone Free ater storaes X8 @baseflow( #ower Qone
Free ater volue actuall& interated to t'e c'annel outflow '&drorap's X#7-I @SubSurf( disc'are
lost into t'e aBuifer X#7-.
And so t'is (ideparaeter is used to correct t'e baseflow as follows(zGKv|=z~v|Kt v%K(+2_ :>.22;zt= 2_ z~v|Kt v%K(+2_ :>.27;
Evapotranspiration-'e real evapotranspirations are obtained fro eac' -ension ater storae fro t'e
transfers between Free ater and -ension ater storaes fro riverside veetation and
fro ipervious areas. -'e& are described 'ereafter.
ETR1( evapotranspiration fro t'e Upper Qone -ension ater reservoir. *f t'is
reservoir is not full t'e evapotranspiration is proportional to its content :eBuation
>.2/;(
/( = XcXk] Xc
:>.2/;
with"-P( potential evapotranspiration X#-.
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-'e reainin evapotranspiration deand R"D and t'e updated content of water in
t'e Upper Qone -ension ater reservoir UCtw! are t'en calculated(/Z = /( :>.25;XcjX = /( :>.23; ETR2( evapotranspiration fro t'e Upper Qone Free ater reservoir. -'is
evapotranspiration is eBual to t'e reainin R"D left b& t'e -ension ater reservoir
but it is liited b& t'e Upper Qone Free ater content UCfw!(/ = i9/Z3cjX :>.26;-'en t'e reainin evapotranspiration R"D#C fro t'e #ower Qone is(/Zy = /Z / :>.2.72;
{'= /(6Xuu' :>.77;withAdi!( su of t'e Upper Qoneand #ower Qone -ension ater !ontent in t'e 4dimp
area X8I $"-R1( evapotranspirated water fro t'e Upper Qone -ension ater reservoir in a
tie step X#.
"ac' evapotranspiration value is wei'ted based on t'e portion of t'e basin area in w'ic' it
is produced. -'e total evapotranspiration is finall&(
/XVX]^ =/(+/+/ ]_] + /7 /2] + /. m2U` m :>.7/;
with "-Rtotal( total evapotranspiration X#7-I Parea( pervious area fraction of t'e basin X8I Riva(
riparian veetarian area fraction X8I Pcti( peranent ipervious area fraction of t'e basin X8I
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$%&6% Channel routin? description
-'e c'annel routin can be solved b& t'e St8$enant )usinu8!une or ineatic wave.
-'e t'ree possibilities are presented 'ereafter and t'eir paraeters in -able ?.
Ta0 8 Slope 0
17
s Stricler coefficient 10 to ?0
nSec 8 +uber of sections :St. $enant onl&; 0
@*ni 7s *nitial disc'are 8
ST% "E!A!T routin?
-'e St. $enant eBuations solvin t'e 1D unstead& flow are(mX+ z= 1 :.1;zX+ zm + '= m R R + :.2;with A( cross sectional flow area X#
2I @( disc'are X#
7-I >0( botto slopeI >f( friction slope X8I *1(
profile coefficient X#7I *2( coefficient for cross sectional variation X#
2.
"Buation .1 eEpresses t'e ass conservation w'ile eBuation .2 ensures t'e conservation
of oentu. -'e ter *1 taes into account t'e s'ape of t'e transversal profile and is
calculated as follows(
'= Y J n :.7;-'e ter b represents t'e cross sectional variation for t'e level and constitutes an
interation variable accordin to Fiure ?. St. $enant eBuations can be solved in RS )*+"R$"
for a trapeCoidal profile :Fiure 10;(
/i?ure F Descriptive setc' for paraeters
used in t'e calculation of *1
/i?ure &6 -ransversal profile available for t'e
coputation of c'annel routinFor t'is trapeCoidal section t'e eBuation definin *1is reduced to(
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'= J Y + U J Yx :./;with =( widt' of t'e base of t'e transversal profile X#I '( water level X#I ( side ban relation
coefficient :1 vertical 'oriContal; X8.
-'e friction slope >fis calculated accordin to )annin8Stricler(
R = z JzmJ 5J /x :.5;/= my :.3;
with>f( friction slope X8I ( Stricler coefficient X#17
-I R'( '&draulic radius X#I A( flow area X#2I #p(
wetted perieter X#.
-'e ter *2taes into account t'e variation of t'e section alon t'e c'annel. *n t'e case of a
prisatic c'annel *2is eBual to Cero. *n eneral *2is(
= Y n&
:.6;For a prisatic c'annel eBuations .1 and .2 are solved b& t'e "uler et'od :first order; as follows(
m' %'= m'%X z' % z% :.
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Routin? accordin? to MusGin?um#Cun?e
Rulin out t'e first two ters of eBuation .2 &ields(
'= m J R + :.10;
-'is new eBuation corresponds to t'e approEiation of t'e diffusive wave. it' t'e
suppleentar& '&pot'esis of a prisatic c'annel :!une 1??1; it is possible to eEpress
eBuation .2 as follows(zX+ zZ ZY z Z z z = 1 :.11;with=( widt' of t'e botto of t'e transversal profile X#I D( disc'are rate X#
7-.
-'e disc'are rate is t'e capacit& of a cross section of a c'annel to transport a certain flow
and is defined as(
z = Z R' :.12;"Buation .11 is an eBuation wit' partial derivatives of parabolic t&pe w'ic' represents t'e
convection and t'e diffusion of t'e variable @. %ence t'e flow transported wit' a velocit& c
:eBuation .17; and diffused wit' a diffusion coefficient :eBuation .1/;(
= z Z ZY :.17;
N = Z
J z :.1/;
=ased on t'e '&pot'esis of a clearl& defined relation between t'e flow @ and t'e water level
' eBuation .11 is reduced to(zX+ zm z= 1 :.15;-'is eBuation is called M eBuation of t'e ineatic wave N and describes t'e siple
convection of t'e flow wit' a velocit& c accordin to eBuation .17. *t can be solved b& t'e
followin nuerical finite difference sc'ee(
zX d z%'
z%
+ ( + d z'%'
z'%
X :.13;
z( z' %' z%' + ( z' % z% :.16;Appl&in t'is sc'ee to eBuation.15 &ields(d z%' z% + ( + d z' %' z' %X
+
( z' %' z%' + ( z'% z% = 1
:.1
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e can eEpress t'e solution of t'is eBuation as a function of t'e unnown variable @4Y1nY1
nael&(z' %'= c' z%'+ c z%+ cx z' % :.1?;wit'(
c'= 5d X5( d + Xc= 5d + X5( d + X
cx
=5( d X5( d + X
:.20;
5 = :.21; =z' % z%m'% m% :.22;
%ere '&draulic enineers i't reconiCe t'e eBuation of )usinu :=oillat 1?
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Routin? accordin? to the Ginematic 8ave
-'e ineatic wave odel is t'e sipler routin odel w'ere t'e ters of inertia and
pressure of t'e St. $enant eBuations are supposed to be neliible. As a conseBuence t'e
cineatic '&pot'esis supposes t'at t'e ravit& forces are identical t'ou' wit' an opposite
sin to t'e friction forces. -'is iplies t'at t'ere is an eEplicit relations'ip between t'e flowand t'e water level :easured noral water dept';.
-'e eBuation of t'e cineatic wave as presented in t'e previous c'apter is presented as
follows(zX+ zm z= 1 :.23;-'is is a siple eBuation of convection w'ic' indicates t'at t'e flow @ is transported
downstrea wit' a celerit& c w'ic' is defined as(
=zm :.26;-'is rat'er siple odel transports eac' point of t'e '&drorap' fro upstrea to
downstrea wit' a velocit& c. Since no diffusive ter appears in t'e eBuation t'e pea
disc'are reains constant and is not reduced. On t'e contrar& t'e eneral be'aviour of a
flood is odified since 'i' disc'ares are transferred downstrea ore rapidl& t'an sall
ones.
-'e initial paraeters are identical to t'ose of t'e odel of t'e diffusive wave. -'e
eoetr& for t'e transversal profiles also corresponds to t'e sae t'an for t'e )usinu8
!une et'od :trapeCoidal c'annels Fiure 10;. Opposite to t'e odel of t'e diffusive
wave no reduction of t'e flood is produced as entioned previousl&. -'e solution is
perfored accordin to t'e followin eBuations(
=z' % z%m'% m% :.2
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$%&&% Time series
*n t'is ob4ect teporar& series of flow precipitation teperature or "-P can be directl&
introduced. -'e tie is incorporated in seconds and t'e associated values in t'eir
correspondin units in tabular for M t Xs , value Xdependin on t'e series N.
Ta
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!'apter 2. %&droloical and '&draulics odels description
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$%&$% Reservoir
-'e transient evolution of a water volue in a reservoir is described b& t'e followin
retention eBuation(
X = zK z :#.1;with( volue in t'e reservoir X#7I @e( inflow in t'e reservoir X#7-I @s( outflow X#7-.
Usuall& reservoirs are eBuipped wit' turbines pups and spillwa&s dependin on t'e water
level in t'e reservoir. -o solve eBuation #.1 it is necessar& to now t'e outflow as a function
of t'e water volue in t'e reservoir. -'is operation is possible if relation between t'e
water level and t'e water volue is nown :-able 11;.
Ta
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!'apter 2. %&droloical and '&draulics odels description
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$%&B% Level#*ischar?e Relation (H,)
-'e %@ ob4ect provides an outflow dependin on a level in a reservoir. -'e outflow is
calculated b& t'e 'elp of a M #evel , Disc'are N relation :-able 12;. %ence t'e disc'are in
t'en calculated as follows(
zvuv|%= 1 23 p%[ p'zvuv|%= zSK,+ p' p% zvuv|,' zvuv|,p' p 23 p[ p%[ p' :).1;with @outflow
n( disc'are at instant n X#
7-I %
n( water level at instant n X#I @outflowi( disc'are flow for
a water level %iX#7-I %i( reservoir water level X#.
Ta
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$%&:% Tur
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e = J Z :O.5;with [( friction factor X8I ( rou'ness X#I Re( Re&nolds nuber X8I( velocit& X#-I ( ineaticviscosit& X#
2-
-'e eBuation +./ is solved for t'e rane of disc'ares of t'e paired data @8 providin t'epaired data relation M Disc'are :@; , Friction factor :[; N for user inforation.
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$%&% *iversion
-'is ob4ect needs t'e paired data relation M *nflow , Diverted flow N as inforation as well
as t'e incoin '&drorap'. -'e relation describes t'e be'aviour of t'e diversion and is
enerated b& t'e user w'o perfors a calculation for t'e be'aviour of t'e diversion and
t'en creates t'e relation M *nflow , Diverted flow N.
it' t'is inforation t'e Diversion calculates t'e diverted '&drorap' and t'e downstrea
'&drorap' as presented in eBuation ).1(z%= zSv|%%+ zSKtuKS% :P.1;with@up
n( total flow upstrea at instant n X#
7-I @diverted
n( diverted flow at instant n X#
7-I @down
n(
downstrea flow at instant n X#7-.
Ta
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$%&D% Consumer
A series in t'e database is used as t'e consuation deand of t'e !onsuer ob4ect. *f no
inforation about consuation eEists in t'e database t'e paraeter Default @DeandT
is used for t'e w'ole period of t'e siulation as unifor deand.
it' t'is inforation t'e !onsuer calculates t'e consued disc'are as well as t'e
downstrea '&drorap' as presented in eBuation P.1. At t'e sae tie t'e ob4ect also
calculates t'e s'ortfall disc'are series durin t'e siulation period.zhv%KS%= zSKG%S%zSv|%%= z% zSKG%S%zvtG%= 1 23 zSKG%S% z%
zhv%KS%
= z%
zSv|%%= 1zvtG%= zSKG%S% z% 23 zSKG%S%4 z% :@.1;
with@consuedn( consued disc'are at instant n X#
7-I @deand
n( deanded consuation at instant
n X#7-I @down
n( downstrea flow at instant n X#
7-I @up
n( total flow upstrea at instant n X#
7-.
Ta
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!'apter 2. %&droloical and '&draulics odels description
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$%&% Structure e99iciency
-'is ob4ect needs an efficienc& coefficient as inforation to describe t'e efficienc& of a
structure suc' a canal or a pipe as well as t'e incoin '&drorap'.
An efficienc& of 1 provides an output flow eBuivalent to t'e input '&drorap'. An efficienc&of 0 enerates a coplete loss of t'e input.
-'e downstrea '&drorap' is calculate as presented in eBuation @.1 and @.2 (zSv|%%= z%J EffiOie9OB :R.1;zvu%= z%J ( EffiOie9OB :R.2;with @up
n( total flow upstrea at instant n X#
7-I @lost
n( lost flow at instant n X#
7-I @down
n(
downstrea flow at instant n X#7-.
Ta
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!'apter 2. %&droloical and '&draulics odels description
RS )*+"R$" , -ec'nical )anual Pae 57120
$%&F% Sensor
-'is ob4ect can be lined to an& ot'er ob4ect and send inforation to t'e states of a
reulation eac' tie a t'res'old is eEceeded or values decrease below a t'res'old.
-'e t'res'old values are specified b& user in t'e ob4ect.Ta
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!'apter 2. %&droloical and '&draulics odels description
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$%$6% Re?ulation and State
'en a reulation is selected a sub8odel is autoaticall& enerated. *nside t'is ob4ect
several M States N can be created. -'e c'oice about w'ic' state is active is carried out as a
function of t'e t'res'olds inforation :fro t'e Sensors;.
A t&pical eEaple of reulation is t'e ipleentation of a turbine pup law as a function
of t'e water level in t'e reservoir. -'us inside ever& State several ob4ects are introduced as
a function of t'e deands :turbine pup diversion etc;.
Once all ob4ects are correctl& lined transitions between States are also introduced
dependin on operators and defined t'res'olds fro sensors :-able 1?;.
Ta
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!'apter 7. Perforance indicators
RS )*+"R$" , -ec'nical )anual Pae 55120
Chapter B% Per9ormance indicators
-'e !oparator ob4ect provides seven indicators values presented 'ereafter.
B%&%
!ash coe99icient-'e +as'8Sutcliffe criteria :+as' and Sutcliffe 1?60; is used to assess t'e predictive power
of '&droloical odels :A4ai et al. 200/I Sc'aefli and al 2005I >ordan 2006I $iviroli et al.
200?I 9arcJa %ernKndeC et al. 2011;. *t is defined as presented in "B. *+D.1.
g]bY = ( $ z,u ztK,uuu&u$ ztK,u ztKuu&u *+D.1with ash( +as'8Sutcliffe odel efficienc& coefficient X8I @sit( siulated disc'are at tie t X#
7-I
@reft( observed disc'are at tie t X#7-I ref( averae observed disc'are for t'e considered period
X#7-.
*t varies fro 8j to 1 wit' 1 represenkn t'e best perforance of t'e odel and Cero t'e
sae perforance t'an assuin t'e averae of all t'e observations at eac' tie step.
B%$% !ash coe99icient 9or lo?arithm values
-'e +as'8Sutcliffe coefficient for loarit' flow values :+as'8ln; is used to assess t'e
'&droloical odels perforance for low flows :rause et al. 2005I +brea et al. 2011;. *t
is defined as presented in "B. *+D.2.
As;9= ( 9z,u9ztK,uuu&u$ 9ztK,u9ztKuu&u *+D.2with ashln( +as'8Sutcliffe coefficient for lo values X8.
*t varies fro 8j to 1 wit' 1 represenkn t'e best perforance of t'e odel.
B%B% Pearson Correlation Coe99icient
-'e Pearson correlation coefficient s'ows t'e covariabilit& of t'e siulated and observed
disc'ares wit'out penaliCin for bias :A'aouc'a and %abib 2010I an et al. 2011;. *t
is defined as presented in "B. *+D.7.
_]bVW = $ z,u z J ztK,u ztKuu&u$ z,u zuu&u J $ ztK,u ztKuu&u *+D.7with 'earson( Pearson !orrelation !oefficient X8I si( averae siulated disc'are for t'e
considered period X#7-.
*t varies fro 81 to 1 wit' 1 representin t'e best perforance of t'e odel.
Q
Q
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!'apter 7. Perforance indicators
RS )*+"R$" , -ec'nical )anual Pae 53120
B%:% Ilin?#upta E99iciency
-'e lin89upta efficienc& :9upta et al. 200?; provides an indicator w'ic' facilitates t'e
lobal anal&sis based on different coponents :correlation bias and variabilit&; for
'&droloical odellin issues.
lin et al. :2012; proposed a revised version of t'is indicator to ensure t'at t'e bias and
variabilit& ratios are not cross8correlated. -'is update is proposed as indicator in
RS )*+"R$" :"B. *+D./;(
5 = ( ? ( + (+ ( *+D./with 9"( odified 9"8statistic X8Ir( correlation coefficient between siulated and reference
values X8I m( ratio between t'e ean of t'e siulated values and t'e ean of t'e reference ones X8
I ( variabilit& ratio i.e. ratio between t'e coefficient of variation of t'e siulated values and t'e
coefficient of variation of t'e reference ones X8.
*t varies fro 0 to 1 wit' 1 representin t'e best perforance.
B%7% 0ias Score
-'e =ias Score :=S; is a s&etric estiation of t'e atc' between t'e averae siulation
and averae observation :an et al. 2011;. *t is defined as presented in "B. *+D.5.
= ( AzztK, ztKz (
*+D.5
with -(( =ias Score X8.
*t varies fro 0 to 1 wit' 1 representin t'e best perforance of t'e odel.
B%% Relative Root Mean S5uare Error
-'e Relative Root )ean SBuare "rror :RR)S"; is defined as t'e R)S" noraliCed to t'e
ean of t'e observed values :Fe&en et al. 2000I "l8+asr et al. 2005I %eppner et al. 2003;
and is presented in "B. *+D.3.
//k =$ z,u ztK,uuu&u
WztK *+D.3
with RR)S"( relative R)S" X8I n( nuber of values X8.
*t varies fro 0 to Yj. -'e saller RR)S" t'e beer t'e odel perforance is.
B%D% Relative "olume 0ias
-'e Relative $olue =ias :R$= soeties called differentl& corresponds in t'is case to t'e
relative error between t'e siulated and t'e observed volues durin t'e studied period
:A4ai and al 200/I Sc'aefli and al 2005I )oriasi et al. 2006I A'aouc'a and %abib
2010; accordin to "B. *+D.6.
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!'apter 7. Perforance indicators
RS )*+"R$" , -ec'nical )anual Pae 56120
/ =$ z,u ztK,uuu&u$ ztK,uuu&u *+D.6with R$=( relative volue bias between forecast and observation for t'e considered period X8.
-'e R$= varies fro 8j to Yj. An indeE near to Cero indicates a ood perforance of t'e
siulation. +eative values are returned w'en siulated disc'are is in averae saller
t'an t'e averae of t'e observed disc'are :deficit odel; w'ile positive values ean t'e
opposite :overae odel;.
B%% !ormali3ed PeaG Error
-'e +oraliCed Pea "rror :+P"; indicates t'e relative error between t'e siulated and t'e
observed flow peas :)asoudi and %abaieb 1??7I Sun and al 2000I A4ai and al 200/I
9abellani and al 2006;. *t is coputed accordin to *+D.< -O *+D.10.
g = // *+D.ournal of "nineerin "ducation 23:/; ?378?67.
A4ai +. . 9upta %. aener -. and Soroos'ian S. :200/;. Calibration o a semi
distributed h7drolo/i model or streamlow estimation alon/ a rier s7stem. >ournal of
%&drolo& 2?
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=ibliorap'&
RS )*+"R$" , -ec'nical )anual Pae 113120
Duan @. Soroos'ian S. and 9upta $. :1??2;. Eetie and Eiient Global ?ptimization or
Coneptual %ainall%uno )odels. ater Resources )anaeent $ol. 2. RoBuier =. and Paredes ArBuiola >. :2015;. RS )*+"R$" ,
Users anual v2.1. RS )*+"R$" 9roup SwitCerland.
9abellani S. =oni 9. Ferraris #. von %ardenber >. and ProvenCale A. :2006;. 'ropa/ation
o unertaint7 rom rainall to runo: 4 ase stud7 with a stohasti rainall /enerator.
Advances in ater Resources 70 203182061.
9arcJa %ernKndeC >. >ordan F. Dubois >. and =oillat >.8#. :2006;. %outin/ (7stem $$. lowmodellin/ in h7drauli s7stems. !ounication 72 du #aboratoire de !onstructions
%&drauliBues "d. A. Sc'leiss #ausanne.
9arcJa %ernKndeC >. :2011;. Flood anaeent in a copleE river basin wit' a real8tie
decision support s&ste based on '&droloical forecasts. P'D -'esis +V50?7 "cole
Pol&tec'niBue FHdHrale de #ausanne "PF# SwitCerland.
9ils . R. Ric'ardson S. and Spieel'alter D. >. :1??3; )arQo Chain )onte Carlo in
'ratie. !'apan and %all #ondon 512p.
9upta %. $. lin %. ilaC . . and )artineC 9. F. :200?;. eomposition o the mean
squared error and (E perormane riteria: $mpliations or improin/ h7drolo/ialmodellin/. >ournal of %&drolo& $ol. 766 ournal of #ae Sciences $ol 12 +o. / 70/871/.
%eppner !. S. Ran @. $anderwaa >. ". and #oaue :2003;.4ddin/ sediment transport
to the inte/rated h7drolo/7 model $n+): eelopment and testin/. Advances in ater
Resources 2? :3; ?708?/7.
>ereia' ". Sisson S.A. S'ara A. )ars'all #. :2012;. Eiient h7drolo/ial model
parameter optimization with (equential )onte Carlo samplin/. "nvironental )odellin
and Software 7
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=ibliorap'&
RS )*+"R$" , -ec'nical )anual Pae 116120
>ordan F. :2006;. )odLle de prHvision et de estion des crues 8 optiisation des opHrations
des aHnaeents '&droHlectriBues accuulation pour la rHduction des dHbits de crue.
-'esis Report +V7611 "cole Pol&tec'niBue FHdHrale de #ausanne "PF# #ausanne.
aali ). Ponnabala . and Soulis " D. :2017;. Comparison o seeral heuristi
approahes to alibration o ,4TC54(( h7drolo/i model. !anadian ater Resources
>ournal $ol. 7. and )a Q. :2011;. Rosenbroc artificial bee colon& alorit' for accurate
lobal optiiCation of nuerical functions. *nforation Sciences 1
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=ibliorap'&
RS )*+"R$" , -ec'nical )anual Pae 11. A. and )ead R. :1?35;. 4 (imple* )ethod or untion minimization. !oputer
>ournal $ol. 6 +o. / 70ournal of %&drolo& 26? 26582
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=ibliorap'&
RS )*+"R$" , -ec'nical )anual Pae 11?120
*nternational )ulti8S&posius on !oputer and !oputational Sciences %anC'ou
Q'e4ian !'ina 707870
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Acnowledents
RS )*+"R$" , -ec'nical )anual Pae 120120
AcGno8led?ments
RS )*+"R$" is developed b& t'e researc' center CREALP and t'e enineerin office
HydroCosmos SA wit' t'e collaboration of two universities :Ecole Polytechni5ue /=d=rale
de Lausanneand -niversitat Polit>cnica de "al>ncia; and t'e Hydro&6 Association.
e would lie to t'an sincerel& t'ese oraniCations for t'eir support.
*n addition we would lie to eEpress our ratitude to t'e people w'o 'ave personall&
contributed to t'e iproveent of t'e prora and its docuentation in particular(
StHp'ane )ic'eloud1+Hstor #era
2 AleE Dionisio8!alado
1 +icolas Re&
7 "dar =elda
2
Sauel Alesina1 AurHlien !laude
1and >avier FluiEK SanartJn
1.
1!entre de rec'erc'e sur lenvironent alpin 8 !R"A#P
2
UniversitH Pol&tec'niBue de $alence 8 UP$7%&dro!osos SA
XS*9+"- F*+ D" DO!U)"+-
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AppendiE
RS )*+"R$" , -ec'nical )anual A.1
Appendi;' List o9 noti9ications 9rom pre#simulation and post#
simulation reports
-'e list of notifications :notes warnins and fatal; of t'e pre8 and post8siulation reports
are presented 'ereafter.
A%&% solated o
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AppendiE
RS )*+"R$" , -ec'nical )anual A.2
Post8Siulation Report
arnin?
*f t'is ob4ect does not find data for
Precipitation -eperature or "-P in an&
station of t'e database wit'in in t'e radius of
researc' researc' radius is eEtended until
findin one.
!o precipitation 9ound
8ithin search radius o9
virtual 8eather station
UStation &U% Radius e;tended
to satis9y !o% min o9 stations%
Sno8#SM model description
Pre8siulation report
/atal
*f t'is ob4ect eEists and is connected to ot'er
ob4ects but not all Snow89S) odel inputs
are available.
The o
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AppendiE
RS )*+"R$" , -ec'nical )anual A.7
S.C.!T model description
Pre8siulation report
/atal*f t'is ob4ect eEists and is not isolated but
not all SO!O+- odel inputs are available.
The o
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AppendiE
RS )*+"R$" , -ec'nical )anual A./
A%:% Standard o
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AppendiE
RS )*+"R$" , -ec'nical )anual A.5
A%7% Structures o
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AppendiE
RS )*+"R$" , -ec'nical )anual A.3
H,
Pre8siulation report
/atal*f t'is ob4ect is used and is not isolated but
t'e %8@ paired data is not provided.
H, UH, &Uis missin? H#,
paired data%
Post8Siulation Report
arnin?
-'e coputed siulation runs even if t'e
level is eBual or over t'e aEiu level
proposed in t'e relation %8@. *n t'at case
t'e outflow is ept as t'e aEiu
disc'are eEistin in t'e relation %8@.
The ma;imum level o9 H,
UH, &U has
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AppendiE
RS )*+"R$" , -ec'nical )anual A.6
Hydropo8er
Pre8siulation report
/atal*f t'is ob4ect if used and is not isolated but
t'e @8 paired data is not provided.
Hydropo8er UHydropo8er
&Uis missin? paired data
values%
arnin?*f a source ob4ect eEists and no database is
connected to t'e odel.
Missin? data
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AppendiE
RS )*+"R$" , -ec'nical )anual A.