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unknown authored392c0351
SUBROUTINE frun_GR6J( !inputs & LInputs , ! [integer] length of input and output series & InputsPrecip , ! [double] input series of total precipitation [mm/day] & InputsPE , ! [double] input series of potential evapotranspiration (PE) [mm/day] & NParam , ! [integer] number of model parameters & Param , ! [double] parameter set & NStates , ! [integer] number of state variables & StateStart , ! [double] state variables used when the model run starts (store levels [mm] and Unit Hydrograph (UH) storages [mm]) & NOutputs , ! [integer] number of output series & IndOutputs , ! [integer] indices of output series !outputs & Outputs , ! [double] output series & StateEnd ) ! [double] state variables at the end of the model run (store levels [mm] and Unit Hydrograph (UH) storages [mm]) !DEC$ ATTRIBUTES DLLEXPORT :: frun_GR6J Implicit None !### input and output variables integer, intent(in) :: LInputs,NParam,NStates,NOutputs doubleprecision, dimension(LInputs) :: InputsPrecip doubleprecision, dimension(LInputs) :: InputsPE doubleprecision, dimension(NParam) :: Param doubleprecision, dimension(NStates) :: StateStart doubleprecision, dimension(NStates) :: StateEnd integer, dimension(NOutputs) :: IndOutputs doubleprecision, dimension(LInputs,NOutputs) :: Outputs !parameters, internal states and variables integer NH,NMISC parameter (NH=20,NMISC=30) doubleprecision St(3), StUH1(NH), StUH2(2*NH) doubleprecision OrdUH1(NH), OrdUH2(2*NH) doubleprecision MISC(NMISC) doubleprecision D doubleprecision P1,E,Q integer I,K !-------------------------------------------------------------- !Initializations !-------------------------------------------------------------- !initilisation of model states to zero St=0. StUH1=0. StUH2=0. !initialization of model states using StateStart St(1) = StateStart(1) St(2) = StateStart(2) St(3) = StateStart(3) DO I=1,NH StUH1(I)=StateStart(7+I) ENDDO DO I=1,2*NH StUH2(I)=StateStart(7+I+NH) ENDDO !parameter values !Param(1) : production store capacity (X1 - PROD) [mm] !Param(2) : intercatchment exchange coefficient (X2 - CES1) [mm/day] !Param(3) : routing store capacity (X3 - ROUT) [mm] !Param(4) : time constant of unit hydrograph (X4 - TB) [day] !Param(5) : intercatchment exchange threshold (X5 - CES2) [-] !Param(6) : time constant of exponential store (X6 - EXP) [day]7172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140
!computation of HU ordinates
OrdUH1 = 0.
OrdUH2 = 0.
D=2.5
CALL UH1(OrdUH1,Param(4),D)
CALL UH2(OrdUH2,Param(4),D)
!initialization of model outputs
Q = -999.999
MISC = -999.999
c StateEnd = -999.999 !initialization made in R
c Outputs = -999.999 !initialization made in R
!--------------------------------------------------------------
!Time loop
!--------------------------------------------------------------
DO k=1,LInputs
P1=InputsPrecip(k)
E =InputsPE(k)
c Q = -999.999
c MISC = -999.999
!model run on one time step
CALL MOD_GR6J(St,StUH1,StUH2,OrdUH1,OrdUH2,Param,P1,E,Q,MISC)
!storage of outputs
DO I=1,NOutputs
Outputs(k,I)=MISC(IndOutputs(I))
ENDDO
ENDDO
!model states at the end of the run
StateEnd(1) = St(1)
StateEnd(2) = St(2)
StateEnd(3) = St(3)
DO K=1,NH
StateEnd(7+K)=StUH1(K)
ENDDO
DO K=1,2*NH
StateEnd(7+NH+K)=StUH2(K)
ENDDO
RETURN
ENDSUBROUTINE
c################################################################################################################################
C**********************************************************************
SUBROUTINE MOD_GR6J(St,StUH1,StUH2,OrdUH1,OrdUH2,Param,P1,E,Q,
&MISC)
C Run on a single time step with the GR6J model
C Inputs:
C St Vector of model states in stores at the beginning of the time step [mm]
C StUH1 Vector of model states in Unit Hydrograph 1 at the beginning of the time step [mm]
C StUH2 Vector of model states in Unit Hydrograph 2 at the beginning of the time step [mm]
C OrdUH1 Vector of ordinates in UH1 [-]
C OrdUH2 Vector of ordinates in UH2 [-]
C Param Vector of model parameters [various units]
C P1 Value of rainfall during the time step [mm]
C E Value of potential evapotranspiration during the time step [mm]
C Outputs:
C St Vector of model states in stores at the end of the time step [mm]
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C StUH1 Vector of model states in Unit Hydrograph 1 at the end of the time step [mm]
C StUH2 Vector of model states in Unit Hydrograph 2 at the end of the time step [mm]
C Q Value of simulated flow at the catchment outlet for the time step [mm/day]
C MISC Vector of model outputs for the time step [mm or mm/day]
C**********************************************************************
Implicit None
INTEGER NH,NMISC,NParam
PARAMETER (NH=20,NMISC=30)
PARAMETER (NParam=6)
DOUBLEPRECISION St(3)
DOUBLEPRECISION StUH1(NH),StUH2(2*NH),OrdUH1(NH),OrdUH2(2*NH)
DOUBLEPRECISION Param(NParam)
DOUBLEPRECISION MISC(NMISC)
DOUBLEPRECISION P1,E,Q
DOUBLEPRECISION A,B,C,EN,ER,PN,PR,PS,WS,tanHyp,AR
DOUBLEPRECISION PERC,PRUH1,PRUH2,EXCH,QR,QD,QRExp
DOUBLEPRECISION AE,AEXCH1,AEXCH2
INTEGER K
DATA B/0.9/
DATA C/0.4/
DOUBLEPRECISION TWS, Sr, Rr ! speed-up
A=Param(1)
C Production store
IF(P1.LE.E) THEN
EN=E-P1
PN=0.
WS=EN/A
IF(WS.GT.13)WS=13.
! speed-up
TWS = tanHyp(WS)
Sr = St(1)/A
ER=St(1)*(2.-Sr)*TWS/(1.+(1.-Sr)*TWS)
! ER=X(2)*(2.-X(2)/A)*tanHyp(WS)/(1.+(1.-X(2)/A)*tanHyp(WS))
! fin speed-up
AE=ER+P1
St(1)=St(1)-ER
PS=0.
PR=0.
ELSE
EN=0.
AE=E
PN=P1-E
WS=PN/A
IF(WS.GT.13)WS=13.
! speed-up
TWS = tanHyp(WS)
Sr = St(1)/A
PS=A*(1.-Sr*Sr)*TWS/(1.+Sr*TWS)
! PS=A*(1.-(X(2)/A)**2.)*tanHyp(WS)/(1.+X(2)/A*tanHyp(WS))
! fin speed-up
PR=PN-PS
St(1)=St(1)+PS
ENDIF
C Percolation from production store
IF(St(1).LT.0.)St(1)=0.
! speed-up
! (9/4)**4 = 25.62890625
Sr = St(1)/Param(1)
Sr = Sr * Sr
Sr = Sr * Sr
PERC=St(1)*(1.-1./SQRT(SQRT(1.+Sr/25.62890625)))
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! PERC=X(2)*(1.-(1.+(X(2)/(9./4.*Param(1)))**4.)**(-0.25))
! fin speed-up
St(1)=St(1)-PERC
PR=PR+PERC
C Split of effective rainfall into the two routing components
PRUH1=PR*B
PRUH2=PR*(1.-B)
C Convolution of unit hydrograph UH1
DO K=1,MAX(1,MIN(NH-1,INT(Param(4)+1.)))
StUH1(K)=StUH1(K+1)+OrdUH1(K)*PRUH1
ENDDO
StUH1(NH)=OrdUH1(NH)*PRUH1
C Convolution of unit hydrograph UH2
DO K=1,MAX(1,MIN(2*NH-1,2*INT(Param(4)+1.)))
StUH2(K)=StUH2(K+1)+OrdUH2(K)*PRUH2
ENDDO
StUH2(2*NH)=OrdUH2(2*NH)*PRUH2
C Potential intercatchment semi-exchange
EXCH=Param(2)*(St(2)/Param(3)-Param(5))
C Routing store
AEXCH1=EXCH
IF((St(2)+(1-C)*StUH1(1)+EXCH).LT.0) AEXCH1=-St(2)-(1-C)*StUH1(1)
St(2)=St(2)+(1-C)*StUH1(1)+EXCH
IF(St(2).LT.0.)St(2)=0.
! speed-up
Rr = St(2)/Param(3)
Rr = Rr * Rr
Rr = Rr * Rr
QR=St(2)*(1.-1./SQRT(SQRT(1.+Rr)))
! QR=X(1)*(1.-(1.+(X(1)/Param(3))**4.)**(-1./4.))
! fin speed-up
St(2)=St(2)-QR
C Update of exponential store
St(3)=St(3)+C*StUH1(1)+EXCH
AR=St(3)/Param(6)
IF(AR.GT.33.)AR=33.
IF(AR.LT.-33.)AR=-33.
IF(AR.GT.7.)THEN
QRExp=St(3)+Param(6)/EXP(AR)
GOTO 3
ENDIF
IF(AR.LT.-7.)THEN
QRExp=Param(6)*EXP(AR)
GOTO 3
ENDIF
QRExp=Param(6)*LOG(EXP(AR)+1.)
3 CONTINUE
St(3)=St(3)-QRExp
C Runoff from direct branch QD
AEXCH2=EXCH
IF((StUH2(1)+EXCH).LT.0) AEXCH2=-StUH2(1)
QD=MAX(0.d0,StUH2(1)+EXCH)
C Total runoff
Q=QR+QD+QRExp
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IF(Q.LT.0.) Q=0.
C Variables storage
MISC( 1)=E ! PE ! observed potential evapotranspiration [mm/day]
MISC( 2)=P1 ! Precip ! observed total precipitation [mm/day]
MISC( 3)=St(1) ! Prod ! production store level (St(1)) [mm]
MISC( 4)=PN ! Pn ! net rainfall [mm/day]
MISC( 5)=PS ! Ps ! part of Ps filling the production store [mm/day]
MISC( 6)=AE ! AE ! actual evapotranspiration [mm/day]
MISC( 7)=PERC ! Perc ! percolation (PERC) [mm/day]
MISC( 8)=PR ! PR ! PR=PN-PS+PERC [mm/day]
MISC( 9)=StUH1(1) ! Q9 ! outflow from UH1 (Q9) [mm/day]
MISC(10)=StUH2(1) ! Q1 ! outflow from UH2 (Q1) [mm/day]
MISC(11)=St(2) ! Rout ! routing store level (St(2)) [mm]
MISC(12)=EXCH ! Exch ! potential third-exchange between catchments (EXCH) [mm/day]
MISC(13)=AEXCH1 ! AExch1 ! actual exchange between catchments from routing store (AEXCH1) [mm/day]
MISC(14)=AEXCH2 ! AExch2 ! actual exchange between catchments from direct branch (after UH2) (AEXCH2) [mm/day]
MISC(15)=AEXCH1+AEXCH2+EXCH ! AExch ! actual total exchange between catchments (AEXCH1+AEXCH2+EXCH) [mm/day]
MISC(16)=QR ! QR ! outflow from routing store (QR) [mm/day]
MISC(17)=QRExp ! QRExp ! outflow from exponential store (QRExp) [mm/day]
MISC(18)=St(3) ! Exp ! exponential store level (St(3)) (negative) [mm]
MISC(19)=QD ! QD ! outflow from UH2 branch after exchange (QD) [mm/day]
MISC(20)=Q ! Qsim ! simulated outflow at catchment outlet [mm/day]
ENDSUBROUTINE