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TMOD9502.f
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TMOD9502.f
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730
C TOPMODEL DEMONSTRATION PROGRAM VERSION 95.02
C
C
C Compiled using Lahey Fortran77 and Grafmatic Graphics
C
C This version by Keith Beven 1985
C Revised for distribution 1993,1995
C
C****************************************************************
C This program is distributed freely with only two conditions.
C
C 1. In any use for commercial or paid consultancy purposes a
C suitable royalty agreement must be negotiated with Lancaster
C University (Contact Keith Beven)
C
C 2. In any publication arising from use for research purposes the
C source of the program should be properly acknowledged and a
C pre-print of the publication sent to Keith Beven at the address
C below.
C
C All rights retained 1993, 1995
C Keith Beven
C Centre for Research on Environmental Systems and Statistics
C Institute of Environmental and Biological Sciences
C Lancaster University, Lancaster LA1 4YQ, UK
C
C Tel: (+44) 1524 593892 Fax: (+44) 1524 593985
C Email: [email protected]
C
C****************************************************************
C
C SIMPLE SUBCATCHMENT VERSION OF TOPMODEL
C
C This program allows single or multiple subcatchment calculations
C but with single average rainfall and potential evapotranspiration
C inputs to the whole catchment. Subcatchment discharges are routed
C to the catchment outlet using a linear routing algorithm with
C constant main channel velocity and internal subcatchment
C routing velocity. The program requires ln(a/tanB) distributions
C for each subcatchment. These may be calculated using the
C GRIDATB program which requires raster elevation data as input.
C It is recommended that those data should be 50 m resolution or
C better.
C
C NOTE that TOPMODEL is not intended to be a traditional model
C package but is more a collection of concepts that can be used
C **** where appropriate ****. It is up to the user to verify that
C the assumptions are appropriate (see discussion in
C Beven et al.(1994). This version of the model will be
C best suited to catchments with shallow soils and moderate
C topography which do not suffer from excessively long dry
C periods. Ideally predicted contributing areas should be
C checked against what actually happens in the catchment.
C
C It includes infiltration excess calculations and parameters
C based on the exponential conductivity Green-Ampt model of
C Beven (HSJ, 1984) but if infiltration excess does occur it
C does so over whole area of a subcatchment. Spatial variability
C in conductivities can however be handled by specifying
C Ko parameter values for different subcatchments, even if they
C have the same ln(a/tanB) and routing parameters, ie. to
C represent different parts of the area.
C
C Note that time step calculations are explicit ie. SBAR
C at start of time step is used to determine contributing area.
C Thus with long (daily) time steps contributing area depends on
C initial value together with any volume filling effect of daily
C inputs. Also baseflow at start of time step is used to update
C SBAR at end of time step
C
C Current program limits are:
C Number of time steps = 2500
C Number of subcatchments = 10
C Number of ln(a/tanB) increments = 30
C Number of subcatchment routing ordinates = 10
C Number of time delay histogram ordinates = 20
C Size of subcatchment pixel maps = 100 x 100
C
C Limits are mostly set in Common blocks in file TMCOMMON.FOR
C*****************************************************************
C
C This version uses five files as follows:
C Channel 4 "TOPMOD.DAT" contains run and file information
C Channel 7 <INPUTS$> contains rainfall, pe and qobs data
C Channel 8 <SUBCAT$> contains subcatchment data
C Channel 9 <PARAMS$> contains parameter data
C Channel 10 <OUTPUT$> is output file
C In addition
C Channel 12 <MAPFILE$> is used to read subcatchment ln(a/tanB)
C maps if IMAP = 1
C
C
C*****************************************************************
C
C INCLUDE TMCOMMON.FOR
CHARACTER*80 SUBCAT,TITLE
COMMON/FLOW/NSTEP,DT,Q(2500),QOBS(2500),R(2500),PE(2500),CA(2500)
COMMON/PARAM/CHV,SZQ,SZM,T0,TD,SRMAX,XK0,HF,DTH,INFEX
COMMON/TOPOG/TITLE,SUBCAT,NAC,TL,AREA,AC(31),ST(30),ACMAX
COMMON/STORE/SBAR,SUZ(30),SRZ(30),SD(30),BAL
COMMON/SUBC/NCH,ND,NR,AR(20),ACH(10),D(10)
COMMON/SINIT/SRBAR,SRLIM,A1,B1,SD1,A2,B2,SD2,SR0,Q0
COMMON/MAP/IMAP,IOUT,IHOUR(30)
CHARACTER*15 INPUTSN,PARAMS,OUTPUT
OPEN(4,FILE="topmod.run",STATUS="OLD")
READ(4,"(A)")TITLE
READ(4,"(A)")INPUTSN
READ(4,"(A)")SUBCAT
READ(4,"(A)")PARAMS
READ(4,"(A)")OUTPUT
OPEN(7,FILE=INPUTSN,STATUS="OLD")
OPEN(8,FILE=SUBCAT,STATUS="OLD")
OPEN(9,FILE=PARAMS,STATUS="OLD")
OPEN(10,FILE=OUTPUT)
WRITE(10,1001)TITLE
1001 FORMAT(1x,A)
Write(6,1002)title
1002 Format(///1x,'TOPMODEL Version: TMOD95.02'////
11x,'This run :'/1x,A//////////
11x,'Centre for Research on Environmental Systems and Statistics'/
21x,'Lancaster University, Lancaster LA1 4YQ, UK')
Write(6,602)
602 format(/1x,' Press return to continue'/)
Read(5,*)
C
C READ IN DT and RAINFALL, PE, QOBS INPUTS
CALL INPUTS
C
C READ IN SUBCATCHMENT TOPOGRAPHIC DATA
READ(8,*)NSC,IMAP,IOUT
C
C OPEN PARAMETER FILE
C START LOOP ON SUBCATCHMENTS
DO 10 ISC=1,NSC
If(iout.ge.2)Write(10,600)ISC
600 Format(1x,'Starting Subcatchment',I6)
C
C INITIALISATION FOR THIS SUBCATCHMENT
CALL TREAD
CALL INIT
C
C RUN MODEL FOR THIS SUBCATCHMENT INCLUDING LINEAR ROUTING CALCULATIONS
CALL TOPMOD
C
C END LOOP ON SUBCATCHMENTS
C
10 CONTINUE
C CALL RESULTS ROUTINE: if IRUN = 0 on return stop
CALL RESULTS
c IRUN Disabled at present
CLOSE(5)
CLOSE(7)
CLOSE(8)
CLOSE(9)
CLOSE(10)
STOP
END
C
C
SUBROUTINE TOPMOD
C
C INCLUDE TMCOMMON.FOR
CHARACTER*80 SUBCAT,TITLE
COMMON/FLOW/NSTEP,DT,Q(2500),QOBS(2500),R(2500),PE(2500),CA(2500)
COMMON/PARAM/CHV,SZQ,SZM,T0,TD,SRMAX,XK0,HF,DTH,INFEX
COMMON/TOPOG/TITLE,SUBCAT,NAC,TL,AREA,AC(31),ST(30),ACMAX
COMMON/STORE/SBAR,SUZ(30),SRZ(30),SD(30),BAL
COMMON/SUBC/NCH,ND,NR,AR(20),ACH(10),D(10)
COMMON/SINIT/SRBAR,SRLIM,A1,B1,SD1,A2,B2,SD2,SR0,Q0
COMMON/MAP/IMAP,IOUT,IHOUR(30)
c
DIMENSION EX(30)
C
C*****************************************************************
C
C THIS ROUTINE RUNS TOPMODEL FOR ONE SUBCATCHMENT, INCLUDING THE
C LINEAR CHANNEL ROUTING CALCULATIONS.
C
C The calculations are made for areal subdivisions based on the
C NAC ln(a/tanB) subdivisions. The saturation deficit for each
C subdivision is calculated from SBAR at the start of each time
C step.
C
C Each increment also has a root zone storage (SRZ) deficit which
C is 0 at 'field capcacity' and becomes more positive as the soil
C dries out; and an unsaturated zone storage (SUZ) which is zero at
C field capacity and becomes more positive as storage increases.
C SUZ has an upper limit of the local saturation deficit SD.
C The local contributing area is where SD - SUZ is less than or
C equal to zero.
C
C REMEMBER SBAR,SD AND SRZ VALUES ARE DEFICITS; SUZ IS A STORAGE.
C
******************************************************************
IROF=0
REX=0.
CUMF=0.
ACMAX=0.
SUMP=0.
SUMAE = 0.
SUMQ=0.
C
C Initialise contributing area counts
IHROF = 0
do 5 ia = 1, nac
5 ihour(ia)=0
C
C START LOOP ON TIME STEPS
If(IOUT.ge.2)Write(10,101)
101 format(1x,' it p ep q(it) quz',
1' q sbar qof')
C
DO 10 IT=1,NSTEP
QOF=0.
QUZ=0.
C
EP=PE(IT)
P=R(IT)
SUMP = SUMP + P
C
C SKIP INFILTRATION EXCESS CALCULATIONS IF INFEX = 0
IF(INFEX.EQ.1) THEN
C
C****************************************************************
C INFILTRATION EXCESS CALCULATIONS USING EXPINF ROUTINE BASED ON
C GREEN-AMPT INFILTRATION IN A SOIL WITH CONDUCTIVITY DECLINING
C EXPONENTIALLY WITH DEPTH (REF. BEVEN, HSJ, 1984)
C
C NOTE THAT IF INFILTRATION EXCESS DOES OCCUR IT WILL DO SO OVER
C THE WHOLE SUBCATCHMENT BECAUSE OF HOMOGENEOUS SOIL ASSUMPTION
C
C ALL PARAMETERS AND VARIABLES ON INPUT MUST BE IN M/H
C
C THIS SECTION CAN BE OMITTED WITHOUT PROBLEM
C************************************************************8***
IF(P.GT.0.)THEN
C
C Adjust Rainfall rate from m/time step to m/h
RINT = P/DT
CALL EXPINF(IROF,IT,RINT,DF,CUMF)
C DF is volumetric increment of infiltration and is returned in m/DT
REX = P - DF
P= P - REX
If(IROF.EQ.1)IHROF = IHROF + 1
ELSE
REX=0.
IROF=0
CUMF=0.
ENDIF
ENDIF
C****************************************************************
C
C P IS RAINFALL AVAILABLE FOR INFILTRATION AFTER SURFACE CONTROL
C CALCULATION
C
ACM=0.
C START LOOP ON A/TANB INCREMENTS
DO 30 IA=1,NAC
ACF=0.5*(AC(IA)+AC(IA+1))
UZ=0.
EX(IA)=0.
C
C CALCULATE LOCAL STORAGE DEFICIT
SD(IA)=SBAR+SZM*(TL-ST(IA))
IF(SD(IA).LT.0.)SD(IA)=0.
C
C ROOT ZONE CALCULATIONS
SRZ(IA) = SRZ(IA) - P
IF(SRZ(IA).LT.0.)THEN
SUZ(IA) = SUZ(IA) - SRZ(IA)
SRZ(IA) = 0.
ENDIF
C
C UZ CALCULATIONS
IF(SUZ(IA).GT.SD(IA))THEN
EX(IA) = SUZ(IA) - SD(IA)
SUZ(IA)=SD(IA)
ENDIF
C
C CALCULATE DRAINAGE FROM SUZ
IF(SD(IA).GT.0.)THEN
UZ=SUZ(IA)/(SD(IA)*TD*DT)
IF(UZ.GT.SUZ(IA))UZ=SUZ(IA)
SUZ(IA)=SUZ(IA)-UZ
IF(SUZ(IA).LT.0.0000001)SUZ(IA)=0.
QUZ=QUZ+UZ*ACF
ENDIF
C
C***************************************************************
C CALCULATE EVAPOTRANSPIRATION FROM ROOT ZONE DEFICIT
C
EA=0.
IF(EP.GT.0.)THEN
EA=EP*(1 - SRZ(IA)/SRMAX)
IF(EA.GT.SRMAX-SRZ(IA))EA=SRMAX-SRZ(IA)
SRZ(IA)=SRZ(IA)+EA
ENDIF
SUMAE = SUMAE + EA * ACF
SAE = SAE + EA *ACF
C
C***************************************************************
C
C
C CALCULATION OF FLOW FROM FULLY SATURATED AREA
C This section assumes that a/tanB values are ordered from high to low
C
OF=0.
IF(IA.GT.1)THEN
IB=IA-1
IF(EX(IA).GT.0.)THEN
c Both limits are saturated
OF=AC(IA)*(EX(IB)+EX(IA))/2
ACM=ACM+ACF
ihour(ib) = ihour(ib) + 1
ELSE
c Check if lower limit saturated (higher a/tanB value)
IF(EX(IB).GT.0.)THEN
ACF=ACF*EX(IB)/(EX(IB)-EX(IA))
OF=ACF*EX(IB)/2
ACM=ACM+ACF
ihour(ib) = ihour(ib) + 1
ENDIF
ENDIF
ENDIF
QOF=QOF+OF
C
C Set contributing area plotting array
CA(IT) = ACM
IF(ACM.GT.ACMAX)ACMAX=ACM
C
C END OF A/TANB LOOP
30 CONTINUE
C
C ADD INFILTRATION EXCESS
QOF=QOF+REX
IF(IROF.EQ.1)ACMAX=1.
C
C CALCULATE SATURATED ZONE DRAINAGE
QB=SZQ*EXP(-SBAR/SZM)
SBAR=SBAR-QUZ+QB
QOUT=QB+QOF
SUMQ=SUMQ+QOUT
C
C CHANNEL ROUTING CALCULATIONS
C allow for time delay to catchment outlet ND as well as
C internal routing array
DO 40 IR=1,NR
IN=IT+ND+IR-1
IF(IN.GT.NSTEP)GO TO 10
Q(IN)=Q(IN)+QOUT*AR(IR)
40 CONTINUE
C
If(IOUT.ge.2) write(10,100)it, p, ep, q(it), quz, qb, sbar, qof
100 format(1x,i4,7e10.3)
C END OF TIME STEP LOOP
10 CONTINUE
C
C CALCULATE BALANCE TERMS
SUMRZ = 0.
SUMUZ = 0.
DO 50 IA =1,NAC
ACF=0.5*(AC(IA)+AC(IA+1))
SUMRZ = SUMRZ + SRZ(IA)*ACF
SUMUZ = SUMUZ + SUZ(IA)*ACF
50 CONTINUE
BAL = BAL + SBAR +SUMP - SUMAE - SUMQ + SUMRZ - SUMUZ
Write(10,650)SUBCAT,SUMP,SUMAE,SUMQ,SUMRZ,SUMUZ,SBAR,BAL
WRITE(6,650)SUBCAT,SUMP,SUMAE,SUMQ,SUMRZ,SUMUZ,SBAR,BAL
650 FORMAT(1X,'Water Balance for Subcatchment : ',A/
11x,' SUMP SUMAE SUMQ SUMRZ ',
2 ' SUMUZ SBAR BAL'/7e11.4)
If(IOUT.ge.1)WRITE(10,651)ACMAX
651 FORMAT(1X,'Maximum contributing area ', e12.5)
RETURN
END
*
C***************************************************************
*
SUBROUTINE INPUTS
*
C INCLUDE TMCOMMON.FOR
CHARACTER*80 SUBCAT,TITLE
COMMON/FLOW/NSTEP,DT,Q(2500),QOBS(2500),R(2500),PE(2500),CA(2500)
COMMON/PARAM/CHV,SZQ,SZM,T0,TD,SRMAX,XK0,HF,DTH,INFEX
COMMON/TOPOG/TITLE,SUBCAT,NAC,TL,AREA,AC(31),ST(30),ACMAX
COMMON/STORE/SBAR,SUZ(30),SRZ(30),SD(30),BAL
COMMON/SUBC/NCH,ND,NR,AR(20),ACH(10),D(10)
COMMON/SINIT/SRBAR,SRLIM,A1,B1,SD1,A2,B2,SD2,SR0,Q0
COMMON/MAP/IMAP,IOUT,IHOUR(30)
*
* This subroutine must read in rainfall, pe and observed
* discharges for T = 1,NSTEP with time step DT hours
*
READ(7,*)NSTEP,DT
READ(7,*)(R(I),PE(I),QOBS(I),I=1,NSTEP)
CLOSE(7)
DO 10 IT = 1,NSTEP
10 Q(IT)=0.
RETURN
END
C
C**************************************************************
C
SUBROUTINE TREAD
C
C INCLUDE TMCOMMON.FOR
CHARACTER*80 SUBCAT,TITLE
COMMON/FLOW/NSTEP,DT,Q(2500),QOBS(2500),R(2500),PE(2500),CA(2500)
COMMON/PARAM/CHV,SZQ,SZM,T0,TD,SRMAX,XK0,HF,DTH,INFEX
COMMON/TOPOG/TITLE,SUBCAT,NAC,TL,AREA,AC(31),ST(30),ACMAX
COMMON/STORE/SBAR,SUZ(30),SRZ(30),SD(30),BAL
COMMON/SUBC/NCH,ND,NR,AR(20),ACH(10),D(10)
COMMON/SINIT/SRBAR,SRLIM,A1,B1,SD1,A2,B2,SD2,SR0,Q0
COMMON/MAP/IMAP,IOUT,IHOUR(30)
C
READ(8,"(A)")subcat
Write(10,1010)subcat
1010 Format(1x,'Subcatchment : ',A)
READ(8,*)NAC,AREA
* NAC IS NUMBER OF A/TANB ORDINATES
* AREA IS SUBCATCHMENT AREA AS PROPORTION OF TOTAL CATCHMENT
READ(8,*)(AC(J),ST(J),J=1,NAC)
* AC IS DISTRIBUTION OF AREA WITH LN(A/TANB)
* ST IS LN(A/TANB) VALUE
tarea = ac(1)
do 10 j=2,nac
tarea = tarea + ac(j)
10 continue
*
* CALCULATE AREAL INTEGRAL OF LN(A/TANB)
* NB. a/tanB values should be ordered from high to low with ST(1)
* as an upper limit such that AC(1) should be zero, with AC(2) representing
* the area between ST(1) and ST(2)
TL=0.
AC(1)=AC(1)/tarea
SUMAC=AC(1)
DO 11 J=2,NAC
AC(J)=AC(J)/tarea
SUMAC=SUMAC+AC(J)
TL=TL+AC(J)*(ST(J)+ST(J-1))/2
11 CONTINUE
AC(NAC+1)=0.
*
* READ CHANNEL NETWORK DATA
READ(8,*)NCH
READ(8,*)(ACH(J),D(J),J=1,NCH)
* ACH IS CUMULATIVE DISTRIBUTION OF AREA WITH DISTANCE D
* FROM OUTLET. D(1) is distance from subcatchment outlet
* ACH(1) = 0.
*
If(IOUT.ge.1)Write(10,600)TL, SUMAC
600 Format(1x,'TL = ',f8.2,/'SUMAC = ', f8.2)
RETURN
END
*
C***************************************************************
*
*
SUBROUTINE INIT
DIMENSION TCH(10)
C INCLUDE TMCOMMON.FOR
CHARACTER*80 SUBCAT,TITLE
COMMON/FLOW/NSTEP,DT,Q(2500),QOBS(2500),R(2500),PE(2500),CA(2500)
COMMON/PARAM/CHV,SZQ,SZM,T0,TD,SRMAX,XK0,HF,DTH,INFEX
COMMON/TOPOG/TITLE,SUBCAT,NAC,TL,AREA,AC(31),ST(30),ACMAX
COMMON/STORE/SBAR,SUZ(30),SRZ(30),SD(30),BAL
COMMON/SUBC/NCH,ND,NR,AR(20),ACH(10),D(10)
COMMON/SINIT/SRBAR,SRLIM,A1,B1,SD1,A2,B2,SD2,SR0,Q0
COMMON/MAP/IMAP,IOUT,IHOUR(30)
*
* READ PARAMETER DATA
READ(9,"(A)")SUBCAT
READ(9,*)SZM,T0,TD,CHV,RV,SRMAX,Q0,SR0,INFEX,XK0,HF,DTH
*
* Convert parameters to m/time step DT
* with exception of XK0 which must stay in m/h
* Q0 is already in m/time step
* T0 is input as Ln(To)
RVDT = RV * DT
CHVDT = CHV * DT
T0DT = T0 + ALOG(DT)
* Calculate SZQ parameter
SZQ = EXP(T0DT-TL)
**
* CONVERT DISTANCE/AREA FORM TO TIME DELAY HISTOGRAM ORDINATES
*
TCH(1) = D(1)/CHVDT
DO 15 J = 2,NCH
TCH(J) = TCH(1) + (D(J) - D(1))/RVDT
15 CONTINUE
NR = INT(TCH(NCH))
IF(FLOAT(NR).LT.TCH(NCH))NR=NR+1
ND = INT(TCH(1))
NR = NR - ND
DO 20 IR=1,NR
TIME = ND+IR
IF(TIME.GT.TCH(NCH))THEN
AR(IR)=1.0
ELSE
DO 21 J=2,NCH
IF(TIME.LE.TCH(J))THEN
AR(IR)=ACH(J-1)+(ACH(J)-ACH(J-1))*(TIME-TCH(J-1))/
1 (TCH(J)-TCH(J-1))
GOTO 20
ENDIF
21 CONTINUE
ENDIF
20 CONTINUE
A1= AR(1)
SUMAR=AR(1)
AR(1)=AR(1)*AREA
IF(NR.GT.1)THEN
DO 22 IR=2,NR
A2=AR(IR)
AR(IR)=A2-A1
A1=A2
SUMAR=SUMAR+AR(IR)
AR(IR)=AR(IR)*AREA
22 CONTINUE
ENDIF
If(IOUT.ge.1)write(10,603)szq
603 format(1x,'SZQ ',e12.5)
If(IOUT.ge.1)WRITE(10,604)TCH(NCH),SUMAR,(AR(IR),IR=1,NR)
604 FORMAT(1X,'SUBCATCHMENT ROUTING DATA'/
1 1X,'Maximum Routing Delay ',E12.5/
2 1X,'Sum of histogram ordinates ',f10.4/(1X,5E12.5))
*
* INITIALISE SRZ AND Q0 VALUES HERE
* SR0 IS INITIAL ROOT ZONE STORAGE DEFICIT BELOW FIELD CAPACITY
* Q0 IS THE INITIAL DISCHARGE FOR THIS SUBCATCHMENT
*
* INITIALISE STORES
DO 25 IA=1,NAC
SUZ(IA)=0.
25 SRZ(IA)=SR0
SBAR=-SZM*ALOG(Q0/SZQ)
c
c Reinitialise discharge array
SUM=0.
DO 29 I=1,ND
29 Q(I) = Q(I) + Q0*AREA
DO 30 I=1,NR
SUM=SUM+AR(I)
IN = ND + I
30 Q(IN)=Q(IN)+Q0*(AREA-SUM)
*
* Initialise water balance. BAL is positive for storage
BAL = - SBAR - SR0
If(IOUT.ge.1)Write(10,605)BAL,SBAR,SR0
605 Format(1x,'Initial Balance BAL ',e12.5/
1 1x,'Initial SBAR ',e12.5/
2 1x,'Initial SR0 ',e12.5)
*
RETURN
END
C
C**************************************************************
C
SUBROUTINE EXPINF(IROF,IT,RINT,DF,CUMF)
C
C INCLUDE TMCOMMON.FOR
CHARACTER*80 SUBCAT,TITLE
COMMON/FLOW/NSTEP,DT,Q(2500),QOBS(2500),R(2500),PE(2500),CA(2500)
COMMON/PARAM/CHV,SZQ,SZM,T0,TD,SRMAX,XK0,HF,DTH,INFEX
COMMON/TOPOG/TITLE,SUBCAT,NAC,TL,AREA,AC(31),ST(30),ACMAX
COMMON/STORE/SBAR,SUZ(30),SRZ(30),SD(30),BAL
COMMON/SUBC/NCH,ND,NR,AR(20),ACH(10),D(10)
COMMON/SINIT/SRBAR,SRLIM,A1,B1,SD1,A2,B2,SD2,SR0,Q0
COMMON/MAP/IMAP,IOUT,IHOUR(30)
c
DOUBLE PRECISION CONST,SUM,FC,FUNC,CD,SZF,XKF
DATA E/0.00001/
C*************************************************************
C
C SUBROUTINE TO CALCULATE INFILTRATION EXCESS RUNOFF USING THE
C EXPONENTIAL GREEN-AMPT MODEL.
C
C**************************************************************
C
C
C Note that HF and DTH only appear in product CD
CD=HF*DTH
SZF = 1./SZM
XKF = XK0
IF(IROF.EQ.1)GO TO 10
C PONDING HAS ALREADY OCCURRED - GO TO EXCESS CALCULATION
C
IF(CUMF.EQ.0.)GOTO 7
C FIRST TIME STEP, OVERFLOW IF CUMF=0, GO DIRECT TO F2 CALCULATION
C INITIAL ESTIMATE OF TIME TO PONDING
F1=CUMF
R2=-XKF*SZF*(CD+F1)/(1-EXP(SZF*F1))
IF(R2.LT.RINT)THEN
C PONDING STARTS AT BEGINNING OF TIME STEP
TP=(IT-1.)*DT
IROF=1
F=CUMF
GO TO 8
ENDIF
7 F2=CUMF+DT*RINT
IF(F2.EQ.0.)GO TO 20
R2=-XKF*SZF*(CD+F2)/(1-EXP(SZF*F2))
IF(R2.GT.RINT)GO TO 20
F=CUMF+R2*DT
DO 9 I=1,20
R2=-XKF*SZF*(CD+F)/(1-EXP(SZF*F))
IF(R2.GT.RINT)THEN
F1=F
F=(F2+F)*0.5
IF(ABS(F-F1).LT.E)GO TO 11
ELSE
F2=F
F=(F1+F)*0.5
IF(ABS(F-F2).LT.E)GO TO 11
ENDIF
9 CONTINUE
WRITE(6,600)
600 FORMAT(1X,'MAXIMUM NO OF ITERATIONS EXCEEDED')
11 CONTINUE
TP=(IT-1)*DT+(F-CUMF)/RINT
IF(TP.GT.IT*DT)GO TO 20
C
C SET UP DEFINITE INTEGRAL CONSTANT USING FP
C
8 CONST =0
FAC=1
FC=(F+CD)
DO 12 J=1,10
FAC=FAC*J
ADD=(FC*SZF)**J/(J*FAC)
CONST=CONST+ADD
12 CONTINUE
CONST=DLOG(FC)-(DLOG(FC)+CONST)/DEXP(SZF*CD)
C
IROF=1
F=F+0.5*RINT*(IT*DT-TP)
10 CONTINUE
C
C NEWTON-RAPHSON SOLUTION FOR F(T)
DO 14 I=1,20
C
C CALCULATE SUM OF SERIES TERMS
FC=(F+CD)
SUM=0.
FAC=1.
DO 13 J=1,10
FAC=FAC*J
ADD=(FC*SZF)**J/(J*FAC)
SUM=SUM+ADD
13 CONTINUE
FUNC=-(DLOG(FC)-(DLOG(FC)+SUM)/DEXP(SZF*CD)-CONST)/(XKF*SZF)
1 -(IT*DT-TP)
DFUNC=(EXP(SZF*F)-1)/(XKF*SZF*FC)
DF=-FUNC/DFUNC
F=F+DF
IF(ABS(DF).LE.E)GO TO 15
14 CONTINUE
WRITE(6,600)
15 CONTINUE
IF(F.LT.CUMF+RINT)THEN
DF=F-CUMF
CUMF=F
C SET UP INITIAL ESTIMATE FOR NEXT TIME STEP
F=F+DF
RETURN
ENDIF
20 CONTINUE
C THERE IS NO PONDING IN THIS TIME STEP
IROF=0
DF = RINT*DT
CUMF=CUMF+DF
RETURN
END
C
C
C***************************************************************
C
SUBROUTINE RESULTS
C INCLUDE TMCOMMON.FOR
CHARACTER*80 SUBCAT,TITLE
COMMON/FLOW/NSTEP,DT,Q(2500),QOBS(2500),R(2500),PE(2500),CA(2500)
COMMON/PARAM/CHV,SZQ,SZM,T0,TD,SRMAX,XK0,HF,DTH,INFEX
COMMON/TOPOG/TITLE,SUBCAT,NAC,TL,AREA,AC(31),ST(30),ACMAX
COMMON/STORE/SBAR,SUZ(30),SRZ(30),SD(30),BAL
COMMON/SUBC/NCH,ND,NR,AR(20),ACH(10),D(10)
COMMON/SINIT/SRBAR,SRLIM,A1,B1,SD1,A2,B2,SD2,SR0,Q0
COMMON/MAP/IMAP,IOUT,IHOUR(30)
C
C OBJECTIVE FUNCTION CALCULATIONS
F1=0.
F2=0.
SUMQ=0.
SSQ=0.
DO 60 IT=1,NSTEP
SUMQ=SUMQ+QOBS(IT)
SSQ = SSQ + QOBS(IT)*QOBS(IT)
F1=F1 + (Q(IT)-QOBS(IT))**2
F2=F2 + ABS(Q(IT)-QOBS(IT))
60 CONTINUE
QBAR = SUMQ / NSTEP
VARQ = (SSQ/NSTEP - QBAR*QBAR)
VARE = F1/NSTEP
E=1-VARE/VARQ
c
c add objective function values to output file
write(6,621)f1,e,f2,qbar,varq,vare
write(10,621)f1,e,f2,qbar,varq,vare
621 format(//1x,'Objective function values'/
1 1x,'F1 ',e12.5,' E ',f12.5,' F2 'e12.5//
2 1x,'Mean Obs Q ',e12.5,' Variance Obs Q ',e12.5/
3 ' Error Variance',e12.5)
c
c
c
RETURN
END
C
C**************************************************************
C