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module_wtable.f90
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MODULE module_wtable
use module_parallel
use module_rootdepth
implicit none
real, parameter :: pi4=3.1415927 * 4.
CONTAINS
! ******************************************************************
subroutine WTABLE(imax,jmax,js,je,nzg,slz,dz,area,soiltxt,wtd,bottomflux,rech,qslat,fdepth,topo,landmask,deltat &
,smoi,smoieq,smoiwtd,qsprings)
integer :: imax,jmax,js,je,nzg,i,j,nsoil
real :: deltat,totwater,qspring,wgpmid,kfup,vt3dbdw,newwgp
real , dimension(nzg+1) :: slz
real , dimension(nzg) :: dz
real,dimension(imax,js:je):: area,fdepth,wtd,rech,bottomflux,qslat,topo &
,smoiwtd,klat,qsprings,qlat,deeprech
real,dimension(nzg,imax,js:je):: smoi,smoieq
integer, dimension(2,imax,js:je)::soiltxt
integer, dimension(imax,js:je) :: landmask
integer :: reqsu,reqsd,reqru,reqrd
if(numtasks.gt.1)call SENDBORDERS(imax,js,je,wtd,reqsu,reqsd,reqru,reqrd)
!Calculate lateral flow
qlat=0.
do j=js,je
do i=1,imax
nsoil=soiltxt(1,i,j)
klat(i,j)=slcons(nsoil)*klatfactor(nsoil)
enddo
enddo
!make sure that the borders are received before calculating lateral flow
if(pid.eq.1)then
call MPI_wait(reqru,status,ierr)
elseif(pid.eq.numtasks-2)then
call MPI_wait(reqrd,status,ierr)
elseif(pid.gt.1.and.pid.lt.numtasks-2)then
call MPI_wait(reqru,status,ierr)
call MPI_wait(reqrd,status,ierr)
endif
call lateralflow(imax,jmax,js,je,wtd,qlat,fdepth,topo,landmask,deltat,area,klat)
qslat=qslat+qlat*1.e3
!now calculate deep recharge
deeprech=0.
DO j=js+1,je-1
DO i=1,imax
if(landmask(i,j).eq.1)then
if(wtd(i,j).lt.slz(1)-dz(1))then
!calculate k for drainage
nsoil=soiltxt(1,i,j)
wgpmid = 0.5 * (smoiwtd(i,j) + slmsts(nsoil))
kfup = slcons(nsoil) &
* (wgpmid / slmsts(nsoil)) ** (2. * slbs(nsoil) + 3.)
!now calculate moisture potential
vt3dbdw = slpots(nsoil) &
* (slmsts(nsoil) / smoiwtd(i,j)) ** slbs(nsoil)
!and now flux (=recharge)
deeprech(i,j) = deltat * kfup &
* ( (slpots(nsoil)-vt3dbdw)/(slz(1)-wtd(i,j)) - 1. )
!now update smoiwtd
newwgp=smoiwtd(i,j) + (deeprech(i,j) - bottomflux(i,j)) / (slz(1)-wtd(i,j))
if(newwgp.lt.soilcp(nsoil))then
deeprech(i,j)=deeprech(i,j)+(soilcp(nsoil)-newwgp)*(slz(1)-wtd(i,j))
newwgp=soilcp(nsoil)
endif
if(newwgp.gt.slmsts(nsoil))then
deeprech(i,j)=deeprech(i,j)-(slmsts(nsoil)-newwgp)*(slz(1)-wtd(i,j))
newwgp=slmsts(nsoil)
endif
smoiwtd(i,j)=newwgp
rech(i,j) = rech(i,j) + deeprech(i,j)*1.e3
endif
endif
ENDDO
ENDDO
bottomflux=0.
!before changing wtd make sure that the borders have been received
if(pid.eq.1)then
call MPI_wait(reqsu,status,ierr)
elseif(pid.eq.numtasks-2)then
call MPI_wait(reqsd,status,ierr)
elseif(pid.gt.1.and.pid.lt.numtasks-2)then
call MPI_wait(reqsu,status,ierr)
call MPI_wait(reqsd,status,ierr)
endif
!Now update water table and soil moisture
!write(6,*)'now to updatewtd'
DO j=js+1,je-1
DO i=1,imax
if(landmask(i,j).eq.1)then
!Total groundwater balance in the cell
totwater = qlat(i,j) - deeprech(i,j)
if(qlat(i,j).ne.qlat(i,j))write(6,*)'gran problema!',wtd(i,j),qlat(i,j),i,j
if(i.eq.54.and.j.eq.49)write(6,*)'mirar antes updatewtd',wtd(i,j),qlat(i,j),deeprech(i,j),totwater
call updatewtd(nzg,slz,dz,wtd(i,j),qspring,totwater,smoi(1,i,j) &
,smoieq(1,i,j),soiltxt(1,i,j),smoiwtd(i,j))
qsprings(i,j) = qsprings(i,j) + qspring*1.e3
if(i.eq.54.and.j.eq.49)write(6,*)'mirar despues updatewtd',wtd(i,j)
endif
ENDDO
ENDDO
end subroutine wtable
! ******************************************************************
subroutine LATERAL(imax,jmax,js,je,soiltxt,wtd,qlat,fdepth,topo,landmask,deltat,area,lats,dxy)
integer :: imax,jmax,js,je,i,j,nsoil
real :: deltat,dxy
real,dimension(imax,js:je):: area,fdepth,wtd,qlat,topo,klat,lats
integer, dimension(2,imax,js:je)::soiltxt
integer, dimension(imax,js:je) :: landmask
integer :: reqsu,reqsd,reqru,reqrd
if(numtasks.gt.1)call SENDBORDERS(imax,js,je,wtd,reqsu,reqsd,reqru,reqrd)
!Calculate lateral flow
qlat=0.
do j=js,je
do i=1,imax
nsoil=soiltxt(1,i,j)
klat(i,j)=slcons(nsoil)*klatfactor(nsoil)
enddo
enddo
!make sure that the borders are received before calculating lateral flow
if(pid.eq.1)then
call MPI_wait(reqru,status,ierr)
elseif(pid.eq.numtasks-2)then
call MPI_wait(reqrd,status,ierr)
elseif(pid.gt.1.and.pid.lt.numtasks-2)then
call MPI_wait(reqru,status,ierr)
call MPI_wait(reqrd,status,ierr)
endif
call lateralflow4(imax,jmax,js,je,wtd,qlat,fdepth,topo,landmask,deltat,area,klat,lats,dxy)
!before changing wtd make sure that the borders have been received
if(pid.eq.1)then
call MPI_wait(reqsu,status,ierr)
elseif(pid.eq.numtasks-2)then
call MPI_wait(reqsd,status,ierr)
elseif(pid.gt.1.and.pid.lt.numtasks-2)then
call MPI_wait(reqsu,status,ierr)
call MPI_wait(reqsd,status,ierr)
endif
end subroutine lateral
! ******************************************************************
subroutine UPDATEDEEPWTABLE(imax,jmax,js,je,nzg,slz,dz,soiltxt,wtd,bottomflux,rech &
,qslat,qlat,landmask,deltat,smoi,smoieq,smoiwtd,qsprings)
integer :: imax,jmax,js,je,nzg,i,j,nsoil
real :: deltat,totwater,qspring,wgpmid,kfup,vt3dbdw,newwgp
real , dimension(nzg+1) :: slz
real , dimension(nzg) :: dz
real,dimension(imax,js:je):: wtd,rech,bottomflux,qslat,qlat &
,smoiwtd,qsprings,deeprech
real,dimension(nzg,imax,js:je):: smoi,smoieq
integer, dimension(2,imax,js:je)::soiltxt
integer, dimension(imax,js:je) :: landmask
!calculate deep recharge
deeprech=0.
DO j=js+1,je-1
DO i=1,imax
if(landmask(i,j).eq.1)then
if(wtd(i,j).lt.slz(1)-dz(1))then
!calculate k for drainage
nsoil=soiltxt(1,i,j)
wgpmid = 0.5 * (smoiwtd(i,j) + slmsts(nsoil))
kfup = slcons(nsoil) &
* (wgpmid / slmsts(nsoil)) ** (2. * slbs(nsoil) + 3.)
!now calculate moisture potential
vt3dbdw = slpots(nsoil) &
* (slmsts(nsoil) / smoiwtd(i,j)) ** slbs(nsoil)
!and now flux (=recharge)
deeprech(i,j) = deltat * kfup &
* ( (slpots(nsoil)-vt3dbdw)/(slz(1)-wtd(i,j)) - 1. )
!now update smoiwtd
newwgp=smoiwtd(i,j) + (deeprech(i,j) - bottomflux(i,j)) / (slz(1)-wtd(i,j))
if(newwgp.lt.soilcp(nsoil))then
deeprech(i,j)=deeprech(i,j)+(soilcp(nsoil)-newwgp)*(slz(1)-wtd(i,j))
newwgp=soilcp(nsoil)
endif
if(newwgp.gt.slmsts(nsoil))then
deeprech(i,j)=deeprech(i,j)-(slmsts(nsoil)-newwgp)*(slz(1)-wtd(i,j))
newwgp=slmsts(nsoil)
endif
smoiwtd(i,j)=newwgp
rech(i,j) = rech(i,j) + deeprech(i,j)*1.e3
endif
endif
ENDDO
ENDDO
bottomflux=0.
DO j=js+1,je-1
DO i=1,imax
if(landmask(i,j).eq.1)then
if(i.eq.300.and.j.eq.300)write(6,*)'mirar qlat',qlat(i,j),qslat(i,j),wtd(i,j)
!Total groundwater balance in the cell
totwater = qlat(i,j) -qslat(i,j) - deeprech(i,j)
call updatewtd(nzg,slz,dz,wtd(i,j),qspring,totwater,smoi(1,i,j) &
,smoieq(1,i,j),soiltxt(1,i,j),smoiwtd(i,j))
qsprings(i,j) = qsprings(i,j) + qspring*1.e3
endif
ENDDO
ENDDO
!qlat=qlat*1.e3
end subroutine updatedeepwtable
! ******************************************************************
subroutine LATERALFLOW(imax,jmax,js,je,wtd,qlat,fdepth,topo,landmask,deltat,area,klat)
implicit none
real :: deltat,fangle,q
integer :: imax,jmax,js,je,i,j
integer, dimension(imax,js:je):: landmask
real,dimension(imax,js:je)::fdepth,wtd,qlat,topo,area,kcell,klat,head
fangle=sqrt(tan(pi4/32.))/(2.*sqrt(2.))
!gmmlateral flow calculation
!WHERE(fdepth.lt.1.e-6)
! kcell=0.
!ELSEWHERE(wtd.lt.-1.5)
! kcell=fdepth*klat*exp((wtd+1.5)/fdepth)
!ELSEWHERE
! kcell=klat*(wtd+1.5+fdepth)
!END WHERE
do j=max(js,1),min(je,jmax)
do i=1,imax
if(fdepth(i,j).lt.1.e-6)then
kcell(i,j)=0.
elseif(wtd(i,j).lt.-1.5)then
kcell(i,j)=fdepth(i,j)*klat(i,j)*exp((wtd(i,j)+1.5)/fdepth(i,j))
else
kcell(i,j)=klat(i,j)*(wtd(i,j)+1.5+fdepth(i,j))
endif
head(i,j) = topo(i,j) + wtd(i,j)
enddo
enddo
!head=topo+wtd
do j=js+1,je-1
do i=2,imax-1
IF(landmask(i,j).eq.1) then
q=0.
q = q + (kcell(i-1,j+1)+kcell(i,j)) &
* (head(i-1,j+1)-head(i,j))/sqrt(2.)
q = q + (kcell(i-1,j)+kcell(i,j)) &
* (head(i-1,j)-head(i,j))
q = q + (kcell(i-1,j-1)+kcell(i,j)) &
* (head(i-1,j-1)-head(i,j))/sqrt(2.)
q = q + (kcell(i,j+1)+kcell(i,j)) &
* (head(i,j+1)-head(i,j))
q = q + (kcell(i,j-1)+kcell(i,j)) &
* (head(i,j-1)-head(i,j))
q = q + (kcell(i+1,j+1)+kcell(i,j)) &
* (head(i+1,j+1)-head(i,j))/sqrt(2.)
q = q + (kcell(i+1,j)+kcell(i,j)) &
* (head(i+1,j)-head(i,j))
q = q + (kcell(i+1,j-1)+kcell(i,j)) &
* (head(i+1,j-1)-head(i,j))/sqrt(2.)
qlat(i,j) = fangle* q * deltat / area(i,j)
ENDIF
enddo
enddo
end subroutine lateralflow
! ******************************************************************
subroutine LATERALFLOW4(imax,jmax,js,je,wtd,qlat,fdepth,topo,landmask,deltat,area,klat,xlat,dxy)
implicit none
double precision,parameter :: d2r = 0.0174532925199
real :: deltat,fangle,q,dxy
integer :: imax,jmax,js,je,i,j
integer, dimension(imax,js:je):: landmask
real,dimension(imax,js:je)::fdepth,wtd,qlat,topo,area,kcell,klat,head,xlat
!gmmlateral flow calculation
!WHERE(fdepth.lt.1.e-6)
! kcell=0.
!ELSEWHERE(wtd.lt.-1.5)
! kcell=fdepth*klat*exp((wtd+1.5)/fdepth)
!ELSEWHERE
! kcell=klat*(wtd+1.5+fdepth)
!END WHERE
do j=max(js,1),min(je,jmax)
do i=1,imax
if(fdepth(i,j).lt.1.e-6)then
kcell(i,j)=0.
elseif(wtd(i,j).lt.-1.5)then
kcell(i,j)=fdepth(i,j)*klat(i,j)*exp((wtd(i,j)+1.5)/fdepth(i,j))
else
kcell(i,j)=klat(i,j)*(wtd(i,j)+1.5+fdepth(i,j))
endif
head(i,j) = topo(i,j) + wtd(i,j)
enddo
enddo
!head=topo+wtd
do j=js+1,je-1
do i=2,imax-1
IF(landmask(i,j).eq.1) then
q=0.
!north
q = q + (kcell(i,j+1)+kcell(i,j)) &
* (head(i,j+1)-head(i,j)) &
* cos( d2r * (xlat(i,j) + 0.5*dxy) )
!south
q = q + (kcell(i,j-1)+kcell(i,j)) &
* (head(i,j-1)-head(i,j)) &
* cos( d2r * (xlat(i,j) - 0.5*dxy) )
!west
q = q + (kcell(i-1,j)+kcell(i,j)) &
* (head(i-1,j)-head(i,j)) &
/ cos( d2r * xlat(i,j) )
!east
q = q + (kcell(i+1,j)+kcell(i,j)) &
* (head(i+1,j)-head(i,j)) &
/ cos( d2r * xlat(i,j) )
qlat(i,j) = 0.5 * q * deltat / area(i,j)
ENDIF
enddo
enddo
end subroutine lateralflow4
! ******************************************************************
subroutine UPDATEWTD(nzg,slz,dz,wtd,qspring,totwater,smoi,smoieq,soiltextures,smoiwtd)
implicit none
integer :: nzg,iwtd,kwtd,nsoil,nsoil1,k,k1
real , dimension(nzg+1) :: slz
real , dimension(nzg) :: dz
real :: wtd,qspring,wtdold,totwater,smoiwtd,maxwatup,maxwatdw,wgpmid,syielddw,dzup,tempk,fracliq,smoieqwtd
real, dimension(nzg) :: smoi,smoieq
integer, dimension(2) :: soiltextures
integer, dimension(nzg) :: soiltxt
where(slz.lt.-0.3)
soiltxt=soiltextures(1)
elsewhere
soiltxt=soiltextures(2)
endwhere
iwtd=1
!case 1: totwater > 0 (water table going up):
IF(totwater.gt.0.)then
if(wtd.ge.slz(1))then
do k=2,nzg
if(wtd.lt.slz(k))exit
enddo
iwtd=k
kwtd=iwtd-1
nsoil=soiltxt(kwtd)
!max water that fits in the layer
maxwatup=dz(kwtd)*(slmsts(nsoil)-smoi(kwtd))
if(totwater.le.maxwatup)then
smoi(kwtd) = smoi(kwtd) + totwater / dz(kwtd)
smoi(kwtd) = min(smoi(kwtd),slmsts(nsoil))
if(smoi(kwtd).gt.smoieq(kwtd))wtd = min ( ( smoi(kwtd)*dz(kwtd) &
- smoieq(kwtd)*slz(iwtd) + slmsts(nsoil)*slz(kwtd) ) / &
( slmsts(nsoil)-smoieq(kwtd) ) , slz(iwtd) )
totwater=0.
else !water enough to saturate the layer
smoi(kwtd) = slmsts(nsoil)
totwater=totwater-maxwatup
k1=iwtd
do k=k1,nzg+1
wtd = slz(k)
iwtd=k+1
if(k.eq.nzg+1)exit
nsoil=soiltxt(k)
maxwatup=dz(k)*(slmsts(nsoil)-smoi(k))
if(totwater.le.maxwatup)then
smoi(k) = smoi(k) + totwater / dz(k)
smoi(k) = min(smoi(k),slmsts(nsoil))
if(smoi(k).gt.smoieq(k))wtd = min ( ( smoi(k)*dz(k) &
- smoieq(k)*slz(iwtd) + slmsts(nsoil)*slz(k) ) / &
( slmsts(nsoil)-smoieq(k) ) , slz(iwtd) )
totwater=0.
exit
else
smoi(k) = slmsts(nsoil)
totwater=totwater-maxwatup
endif
enddo
endif
elseif(wtd.ge.slz(1)-dz(1))then ! wtd below bottom of soil model
nsoil=soiltxt(1)
maxwatup=(slmsts(nsoil)-smoiwtd)*dz(1)
if(totwater.le.maxwatup)then
smoieqwtd = slmsts(nsoil) * ( slpots(nsoil) / &
(slpots(nsoil) - dz(1)) ) ** (1./slbs(nsoil))
smoieqwtd = max(smoieqwtd,soilcp(nsoil))
smoiwtd = smoiwtd + totwater / dz(1)
smoiwtd = min(smoiwtd,slmsts(nsoil))
if(smoiwtd.gt.smoieqwtd)wtd = min( ( smoiwtd*dz(1) &
- smoieqwtd*slz(1) + slmsts(nsoil)*(slz(1)-dz(1)) ) / &
( slmsts(nsoil)-smoieqwtd ) , slz(1) )
totwater=0.
else
smoiwtd=slmsts(nsoil)
totwater=totwater-maxwatup
do k=1,nzg+1
wtd=slz(k)
iwtd=k+1
if(k.eq.nzg+1)exit
nsoil=soiltxt(k)
maxwatup=dz(k)*(slmsts(nsoil)-smoi(k))
if(totwater.le.maxwatup)then
smoi(k) = min(smoi(k) + totwater / dz(k),slmsts(nsoil))
if(smoi(k).gt.smoieq(k))wtd = min ( ( smoi(k)*dz(k) &
- smoieq(k)*slz(iwtd) + slmsts(nsoil)*slz(k) ) / &
( slmsts(nsoil)-smoieq(k) ) , slz(iwtd) )
totwater=0.
exit
else
smoi(k) = slmsts(nsoil)
totwater=totwater-maxwatup
endif
enddo
endif
!deep water table
else
nsoil=soiltxt(1)
maxwatup=(slmsts(nsoil)-smoiwtd)*(slz(1)-dz(1)-wtd)
if(totwater.le.maxwatup)then
wtd = wtd + totwater/(slmsts(nsoil)-smoiwtd)
totwater=0.
else
totwater=totwater-maxwatup
wtd=slz(1)-dz(1)
maxwatup=(slmsts(nsoil)-smoiwtd)*dz(1)
if(totwater.le.maxwatup)then
smoieqwtd = slmsts(nsoil) * ( slpots(nsoil) / &
(slpots(nsoil) - dz(1)) ) ** (1./slbs(nsoil))
smoieqwtd = max(smoieqwtd,soilcp(nsoil))
smoiwtd = smoiwtd + totwater / dz(1)
smoiwtd = min(smoiwtd,slmsts(nsoil))
wtd = ( smoiwtd*dz(1) &
- smoieqwtd*slz(1) + slmsts(nsoil)*(slz(1)-dz(1)) ) / &
( slmsts(nsoil)-smoieqwtd )
totwater=0.
else
smoiwtd=slmsts(nsoil)
totwater=totwater-maxwatup
do k=1,nzg+1
wtd=slz(k)
iwtd=k+1
if(k.eq.nzg+1)exit
nsoil=soiltxt(k)
maxwatup=dz(k)*(slmsts(nsoil)-smoi(k))
if(totwater.le.maxwatup)then
smoi(k) = smoi(k) + totwater / dz(k)
smoi(k) = min(smoi(k),slmsts(nsoil))
if(smoi(k).gt.smoieq(k))wtd = ( smoi(k)*dz(k) &
- smoieq(k)*slz(iwtd) + slmsts(nsoil)*slz(k) ) / &
( slmsts(nsoil)-smoieq(k) )
totwater=0.
exit
else
smoi(k) = slmsts(nsoil)
totwater=totwater-maxwatup
endif
enddo
endif
endif
endif
!water springing at the surface
qspring=totwater
!case 2: totwater < 0 (water table going down):
ELSEIF(totwater.lt.0.)then
if(wtd.ge.slz(1))then !wtd in the resolved layers
do k=2,nzg
if(wtd.lt.slz(k))exit
enddo
iwtd=k
k1=iwtd-1
do kwtd=k1,1,-1
nsoil=soiltxt(kwtd)
!max water that the layer can yield
maxwatdw=dz(kwtd)*(smoi(kwtd)-smoieq(kwtd))
if(-totwater.le.maxwatdw)then
smoi(kwtd) = smoi(kwtd) + totwater / dz(kwtd)
if(smoi(kwtd).gt.smoieq(kwtd))then
wtd = ( smoi(kwtd)*dz(kwtd) &
- smoieq(kwtd)*slz(iwtd) + slmsts(nsoil)*slz(kwtd) ) / &
( slmsts(nsoil)-smoieq(kwtd) )
else
wtd=slz(kwtd)
iwtd=iwtd-1
endif
totwater=0.
exit
else
wtd = slz(kwtd)
iwtd=iwtd-1
if(maxwatdw.ge.0.)then
smoi(kwtd) = smoieq(kwtd)
totwater = totwater + maxwatdw
endif
endif
enddo
if(iwtd.eq.1.and.totwater.lt.0.)then
nsoil=soiltxt(1)
smoieqwtd = slmsts(nsoil) * ( slpots(nsoil) / &
(slpots(nsoil) - dz(1)) ) ** (1./slbs(nsoil))
smoieqwtd = max(smoieqwtd,soilcp(nsoil))
maxwatdw=dz(1)*(smoiwtd-smoieqwtd)
if(-totwater.le.maxwatdw)then
smoiwtd = smoiwtd + totwater / dz(1)
wtd = max( ( smoiwtd*dz(1) &
- smoieqwtd*slz(1) + slmsts(nsoil)*(slz(1)-dz(1)) ) / &
( slmsts(nsoil)-smoieqwtd ) , slz(1)-dz(1) )
else
wtd=slz(1)-dz(1)
smoiwtd = smoiwtd + totwater / dz(1)
!and now even further down
dzup=(smoieqwtd-smoiwtd)*dz(1)/(slmsts(nsoil)-smoieqwtd)
wtd=wtd-dzup
smoiwtd=smoieqwtd
endif
endif
elseif(wtd.ge.slz(1)-dz(1))then
!if wtd was already below the bottom of the resolved soil crust
nsoil=soiltxt(1)
smoieqwtd = slmsts(nsoil) * ( slpots(nsoil) / &
(slpots(nsoil) - dz(1)) ) ** (1./slbs(nsoil))
smoieqwtd = max(smoieqwtd,soilcp(nsoil))
maxwatdw=dz(1)*(smoiwtd-smoieqwtd)
if(-totwater.le.maxwatdw)then
smoiwtd = smoiwtd + totwater / dz(1)
wtd = max( ( smoiwtd*dz(1) &
- smoieqwtd*slz(1) + slmsts(nsoil)*(slz(1)-dz(1)) ) / &
( slmsts(nsoil)-smoieqwtd ) , slz(1)-dz(1) )
else
wtd=slz(1)-dz(1)
smoiwtd = smoiwtd + totwater / dz(1)
!and now even further down
dzup=(smoieqwtd-smoiwtd)*dz(1)/(slmsts(nsoil)-smoieqwtd)
wtd=wtd-dzup
smoiwtd=smoieqwtd
endif
else
!gmmequilibrium soil moisture content
nsoil=soiltxt(1)
wgpmid = slmsts(nsoil) * ( slpots(nsoil) / &
(slpots(nsoil) - (slz(1)-wtd)) ) ** (1./slbs(nsoil))
wgpmid=max(wgpmid,soilcp(nsoil))
syielddw=slmsts(nsoil)-wgpmid
wtdold=wtd
wtd = wtdold + totwater/syielddw
!update wtdwgp
smoiwtd = (smoiwtd*(slz(1)-wtdold)+wgpmid*(wtdold-wtd) ) / (slz(1)-wtd)
endif
qspring=0.
ENDIF
end subroutine updatewtd
! ******************************************************************
subroutine GW2RIVER(imax,js,je,nzg,slz,deltat,soiltxt,landmask,wtd,maxdepth,riverdepth,width,length,area,fdepth,qrf)
implicit none
integer :: i,j,imax,js,je,nsoil,k,iwtd,nzg
real, dimension(nzg+1) :: slz
integer ,dimension(2,imax,js:je) :: soiltxt
integer, dimension(imax,js:je) :: landmask
real, dimension(imax,js:je) :: wtd,maxdepth,riverdepth,width,length,area,qrf,fdepth
real :: riversurface,deltat,soilwatercap,rcond,rdepth,hydcon
soilwatercap=0.
qrf=0.
do j=js+1,je-1
do i=2,imax-1
if(landmask(i,j).eq.0.or.width(i,j).eq.0.)cycle
rdepth=max(riverdepth(i,j),0.)
nsoil=soiltxt(2,i,j)
riversurface= -( maxdepth(i,j)-rdepth )
if(riversurface.ge.0.)cycle !this just in case...
if(wtd(i,j).gt.riversurface)then
hydcon = slcons(nsoil)*max(min(exp((-maxdepth(i,j)+1.5)/fdepth(i,j)),1.),0.1)
rcond=width(i,j)*length(i,j)*hydcon
qrf(i,j)=rcond*(wtd(i,j)-riversurface) * ( deltat / area(i,j) )
!if(i.eq.201.and.j.eq.191)write(6,*)'mirar',rivercond(i,j),pexp(i,j),rcond(i,j),wtd(i,j),eqwtd(i,j),qrf(i,j),riversurface,riverbed(i,j)
!limit it to prevent sudden drops , lets say 50mm per day 0.05/86400.
! qrf(i,j)=min(qrf(i,j),deltat*0.05/86400.)
elseif(wtd(i,j).gt.-maxdepth(i,j))then !water table connected to the river, even though below river surface
hydcon = slcons(nsoil)*max(min(exp((-maxdepth(i,j)+1.5)/fdepth(i,j)),1.),0.1)
rcond=width(i,j)*length(i,j)*hydcon
soilwatercap=-rcond*(wtd(i,j)-riversurface) * ( deltat / area(i,j) )
! soilwatercap=min(soilwatercap,deltat*0.05/86400.)
qrf(i,j)=-max(min(soilwatercap,riverdepth(i,j)),0.)*min(width(i,j)*length(i,j)/area(i,j),1.)
else
!water table below river bed, disconnected from the river. No rcond use, just
!infiltration. Assume it occurs at the Ksat rate and water goes directly to the
!water table.
qrf(i,j) = -max(min(slcons(nsoil)*deltat,rdepth),0.) * min(width(i,j)*length(i,j)/area(i,j),1.)
endif
!if(i.eq.154.and.j.eq.443)write(6,*)'mirar qrf 1',wtd(i,j),maxdepth(i,j),riverdepth(i,j),width(i,j),length(i,j),nsoil,rcond,soilwatercap,qrf(i,j)
!if(i.eq.886.and.j.eq.564)write(6,*)'mirar qrf 2',wtd(i,j),maxdepth(i,j),riverdepth(i,j),width(i,j),length(i,j),nsoil,rcond,soilwatercap,qrf(i,j)
enddo
enddo
end subroutine gw2river
! ******************************************************************
subroutine RIVERS_KW_FLOOD(imax,js,je,deltat,dtlr,fd,bfd,qnew,qs,qrf,delsfcwat &
,slope,depth,width,length,maxdepth,area,riverarea,floodarea,riverchannel &
,qmean,floodheight,topo)
implicit none
!integer, parameter :: ntsplit=15
!integer, parameter :: ntsplit=4
integer :: i,j,imax,js,je,n,i1,j1,i2,j2
integer ,dimension(imax,js:je) :: fd,bfd
real, dimension(imax,js:je) :: q,qin,qnew,qs,qrf,qext,delsfcwat &
,slope,depth,width,length,maxdepth,area &
,riverarea,qmean,floodheight,riverchannel,floodarea,topo
real :: deltat,snew,aa,wi,speed,frwtd,dtlr,dsnew,flowwidth,slopeinst &
,dtopo,dcommon,qmax,vmax,waterelevij,waterelevi1j1,waterelevi2j2,slopefor,slopeback
integer :: reqsu,reqsd,reqru,reqrd
do j=js+1,je-1
do i=2,imax-1
IF(fd(i,j).ne.0) then
qext(i,j)= ( qrf(i,j) + qs(i,j) + delsfcwat(i,j) ) / deltat * area(i,j)
! riverarea(i,j) = width(i,j)*length(i,j)
! floodarea(i,j) = max( area(i,j)-riverarea(i,j) , 0. )
! riverchannel(i,j) = maxdepth(i,j)*riverarea(i,j)
!if(i.eq.54.and.j.eq.49)write(6,*)'mirar rivers 0',qrf(i,j),qs(i,j),delsfcwat(i,j),qnew(i,j),floodheight(i,j)
!if(i.eq.543.and.j.eq.172)write(6,*)'mirar rivers',width(i,j),riverchannel(i,j)
ENDIF
enddo
enddo
!dtlr = deltat/float(ntsplit)
!do n=1,ntsplit
if(numtasks.gt.1)call sendborders(imax,js,je,qnew,reqsu,reqsd,reqru,reqrd)
!make sure that the borders are received before calculating anything
if(pid.eq.1)then
call MPI_wait(reqru,status,ierr)
elseif(pid.eq.numtasks-2)then
call MPI_wait(reqrd,status,ierr)
elseif(pid.gt.1.and.pid.lt.numtasks-2)then
call MPI_wait(reqru,status,ierr)
call MPI_wait(reqrd,status,ierr)
endif
q=qnew
qin=0.
do j=js,je
do i=1,imax
if(fd(i,j).gt.0)then
call flowdir(imax,js,je,fd,i,j,i1,j1)
if(i1.gt.1.and.i1.lt.imax.and.j1.gt.js.and.j1.lt.je)then
qin(i1,j1) = qin(i1,j1) + q(i,j)
endif
endif
enddo
enddo
do j=js+1,je-1
do i=2,imax-1
IF(fd(i,j).ne.0) then
!calculate total inflow into cell i j
!fd (flow direction) tells where the river in cell i j is flowing to
dsnew = qin(i,j)-q(i,j)
!Taquari
if(i.eq.4498.and.j.eq.4535)dsnew = dsnew + q(4499,4534)/4.
if(i.eq.4498.and.j.eq.4534)dsnew = dsnew - q(4499,4534)/4.
!Taquari
if(i.eq.4464.and.j.eq.4536)dsnew = dsnew + q(4465,4535)/2.
if(i.eq.4465.and.j.eq.4534)dsnew = dsnew - q(4465,4535)/2.
!Taquari
if(i.eq.4346.and.j.eq.4560)dsnew = dsnew + q(4346,4561)/3.
if(i.eq.4345.and.j.eq.4561)dsnew = dsnew - q(4346,4561)/3.
!Taquari
if(i.eq.4444.and.j.eq.4551)dsnew = dsnew + q(4444,4552)/3.
if(i.eq.4443.and.j.eq.4553)dsnew = dsnew - q(4444,4552)/3.
!Taquari
if(i.eq.4350.and.j.eq.4497)dsnew = dsnew + q(4352,4496)/3.
if(i.eq.4351.and.j.eq.4496)dsnew = dsnew - q(4352,4496)/3.
!Sao Lourenco
if(i.eq.4439.and.j.eq.4772)dsnew = dsnew + q(4440,4773)/2.
if(i.eq.4440.and.j.eq.4772)dsnew = dsnew - q(4440,4773)/2.
if(i.eq.4400.and.j.eq.4685)dsnew = dsnew + q(4401,4685)/2.
if(i.eq.4400.and.j.eq.4684)dsnew = dsnew - q(4401,4685)/2.
if(i.eq.4418.and.j.eq.4688)dsnew = dsnew + q(4418,4689)/5.
if(i.eq.4417.and.j.eq.4689)dsnew = dsnew - q(4418,4689)/5.
if(i.eq.4367.and.j.eq.4698)dsnew = dsnew + q(4368,4699)/6.
if(i.eq.4368.and.j.eq.4698)dsnew = dsnew - q(4368,4699)/6.
if(i.eq.4363.and.j.eq.4667)dsnew = dsnew + q(4364,4668)/6.
if(i.eq.4364.and.j.eq.4667)dsnew = dsnew - q(4364,4668)/6.
if(i.eq.4475.and.j.eq.4718)dsnew = dsnew + q(4475,4717)/6.
if(i.eq.4474.and.j.eq.4717)dsnew = dsnew - q(4475,4717)/6.
!new river store
snew = depth(i,j)*riverarea(i,j) + floodheight(i,j)*floodarea(i,j) + ( dsnew+qext(i,j) ) * dtlr
!if(i.eq.1360.and.j.eq.1065)write(6,*)'mirar
!rivers',snew,floodheight(i,j),dsnew,qext(i,j),depth(i,j),q(i,j)
!now redistribute water between river channel and floodplain and calculate new
!riverdepth and floodheight
if(snew.ne.snew)write(6,*)'problem with snew',i,j,dsnew,floodheight(i,j),depth(i,j),qext(i,j)
if(snew.ge.riverchannel(i,j))then
floodheight(i,j) = (snew-riverchannel(i,j)) / max(area(i,j),riverarea(i,j))
depth(i,j) = floodheight(i,j) + maxdepth(i,j)
!if(i.eq.1360.and.j.eq.1065)write(6,*)'mirar rivers
!2',floodheight(i,j),depth(i,j)
else
floodheight(i,j) = 0.
if(riverarea(i,j).gt.0.)then
depth(i,j) = snew/riverarea(i,j)
else
depth(i,j)=0.
endif
!if(i.eq.1360.and.j.eq.1065)write(6,*)'mirar rivers
!2',floodheight(i,j),depth(i,j)
endif
if(depth(i,j).ne.depth(i,j))write(6,*)'problem with depth',i,j,qrf(i,j),qs(i,j),delsfcwat(i,j),qnew(i,j),floodheight(i,j)
!if(i.eq.3417.and.j.eq.6320)write(6,*)'mirar rivers 1',qrf(i,j),qs(i,j),delsfcwat(i,j),qnew(i,j),floodheight(i,j),depth(i,j)
!if(i.eq.158.and.j.eq.441)write(6,*)'mirar rivers 2',qrf(i,j),qs(i,j),delsfcwat(i,j),qnew(i,j),floodheight(i,j),depth(i,j)
ENDIF
enddo
enddo
!before changing qnew make sure that the borders have been received
if(pid.eq.1)then
call MPI_wait(reqsu,status,ierr)
elseif(pid.eq.numtasks-2)then
call MPI_wait(reqsd,status,ierr)
elseif(pid.gt.1.and.pid.lt.numtasks-2)then
call MPI_wait(reqsu,status,ierr)
call MPI_wait(reqsd,status,ierr)
endif
if(numtasks.gt.1)call sendborders(imax,js,je,depth,reqsu,reqsd,reqru,reqrd)
!make sure that the borders are received before calculating anything
if(pid.eq.1)then
call MPI_wait(reqru,status,ierr)
elseif(pid.eq.numtasks-2)then
call MPI_wait(reqrd,status,ierr)
elseif(pid.gt.1.and.pid.lt.numtasks-2)then
call MPI_wait(reqru,status,ierr)
call MPI_wait(reqrd,status,ierr)
endif
do j=js+1,je-1
do i=2,imax-1
if(fd(i,j).ne.0)then
if(width(i,j)*depth(i,j).gt.1.e-9.and.fd(i,j).gt.0)then
!calculate speed from manning's formula
! if(width(i,j).lt.2..and.floodheight(i,j).gt.0.05)then !it moves like a sheet
! aa=floodheight(i,j)
! flowwidth=sqrt(area(i,j))
! else
aa=depth(i,j)*width(i,j)/(2.*depth(i,j)+width(i,j))
flowwidth=width(i,j)
! endif
if(floodheight(i,j).gt.0.05)then
call flowdir(imax,js,je,fd,i,j,i1,j1)
waterelevij=topo(i,j)-maxdepth(i,j)+depth(i,j)
waterelevi1j1=topo(i1,j1)-maxdepth(i1,j1)+max(depth(i1,j1),0.)
slopefor=( waterelevij - waterelevi1j1 ) / (0.5*(length(i,j)+length(i1,j1)))
if(bfd(i,j).gt.0)then
call flowdir(imax,js,je,bfd,i,j,i2,j2)
waterelevi2j2=topo(i2,j2)-maxdepth(i2,j2)+max(depth(i2,j2),0.)
slopeback=( waterelevi2j2 - waterelevij ) / (0.5*(length(i2,j2)+length(i,j)))
slopeinst = 0.5*(slopefor+slopeback)
else
slopeinst = slopefor
endif
! slopeinst=0.5*(slopeinst+slope(i,j))
slopeinst=0.25*slopeinst+0.75*slope(i,j)
! slopeinst=0.1*slopeinst+0.9*slope(i,j)
if(slopeinst.lt.0.)slopeinst=slope(i,j)
! dtopo=max(waterelevij-waterelevi1j1,0.)
! qmax = dtopo*riverarea(i,j)/dtlr
! vmax = qmax / (depth(i,j)*width(i,j))
speed = ( aa**(2./3.) )*sqrt(slopeinst)/0.03
! vmax=max(vmax,( aa**(2./3.) )*sqrt(slope(i,j))/0.03)
! speed=max(min(speed,vmax),0.01)
speed=max(min(speed,length(i,j)/dtlr),0.01)