source: trunk/LMDZ.MARS/libf/phymars/soil.F

      module soil_mod
      
      implicit none
      
      contains
      
      subroutine soil(ngrid,nsoil,firstcall,
     &          therm_i,
     &          timestep,tsurf,tsoil,
     &          capcal,fluxgrd)

      use comsoil_h, only: layer, mlayer, volcapa,
     &                     mthermdiff, thermdiff, coefq,
     &                     coefd, alph, beta, mu,flux_geo
      use surfdat_h, only: watercaptag, inert_h2o_ice
      use comslope_mod, ONLY: nslope
      use callkeys_mod, only: surfaceice_tifeedback, poreice_tifeedback
      implicit none

!-----------------------------------------------------------------------
!  Author: Ehouarn Millour
!
!  Purpose: Compute soil temperature using an implict 1st order scheme
!  
!  Note: depths of layers and mid-layers, soil thermal inertia and 
!        heat capacity are commons in comsoil_h
!-----------------------------------------------------------------------

c-----------------------------------------------------------------------
!  arguments
!  ---------
!  inputs:
      integer,intent(in) :: ngrid       ! number of (horizontal) grid-points 
      integer,intent(in) :: nsoil       ! number of soil layers 
      logical,intent(in) :: firstcall ! identifier for initialization call 
      real,intent(in) :: therm_i(ngrid,nsoil,nslope) ! thermal inertia
      real,intent(in) :: timestep           ! time step
      real,intent(in) :: tsurf(ngrid,nslope)   ! surface temperature
! outputs:
      real,intent(out) :: tsoil(ngrid,nsoil,nslope) ! soil (mid-layer) temperature
      real,intent(out) :: capcal(ngrid,nslope) ! surface specific heat
      real,intent(out) :: fluxgrd(ngrid,nslope) ! surface diffusive heat flux

! local variables:
      integer ig,ik,islope

! 0. Initialisations and preprocessing step
      if(firstcall.or.surfaceice_tifeedback.or.poreice_tifeedback) then
      ! note: firstcall is set to .true. or .false. by the caller
      !       and not changed by soil.F 
! 0.1 Build mthermdiff(:), the mid-layer thermal diffusivities
      do ig=1,ngrid
       do islope = 1,nslope
        if (watercaptag(ig)) then
          do ik=0,nsoil-1
! If we have permanent ice, we use the water ice thermal inertia from ground to last layer.
              mthermdiff(ig,ik,islope)=inert_h2o_ice*
     &            inert_h2o_ice/volcapa
          enddo
        else
          do ik=0,nsoil-1
           mthermdiff(ig,ik,islope)=therm_i(ig,ik+1,islope)*
     &         therm_i(ig,ik+1,islope)/volcapa
          enddo
        endif
      enddo
      enddo

#ifdef MESOSCALE
      do ig=1,ngrid
       do islope = 1,nslope
        if ( therm_i(ig,1,islope) .ge. inert_h2o_ice ) then
          print *, "limit max TI ", therm_i(ig,1,islope), inert_h2o_ice
          do ik=0,nsoil-1
               mthermdiff(ig,ik,islope)=inert_h2o_ice*
     &    inert_h2o_ice/volcapa
          enddo
        endif
       enddo
      enddo
#endif

! 0.2 Build thermdiff(:), the "interlayer" thermal diffusivities
      do ig=1,ngrid
       do islope = 1,nslope
        do ik=1,nsoil-1
      thermdiff(ig,ik,islope)=((layer(ik)-mlayer(ik-1))
     &                        *mthermdiff(ig,ik,islope)
     &                +(mlayer(ik)-layer(ik))
     &                *mthermdiff(ig,ik-1,islope))
     &                    /(mlayer(ik)-mlayer(ik-1))
!       write(*,*),'soil: ik: ',ik,' thermdiff:',thermdiff(ig,ik)
        enddo
       enddo
      enddo

! 0.3 Build coefficients mu, q_{k+1/2}, d_k, alpha_k and capcal
      ! mu
      mu=mlayer(0)/(mlayer(1)-mlayer(0))

      ! q_{1/2}
      coefq(0)=volcapa*layer(1)/timestep
        ! q_{k+1/2}
        do ik=1,nsoil-1
          coefq(ik)=volcapa*(layer(ik+1)-layer(ik))
     &                 /timestep
        enddo

      do ig=1,ngrid
       do islope = 1,nslope
        ! d_k
        do ik=1,nsoil-1
          coefd(ig,ik,islope)=thermdiff(ig,ik,islope)
     &        /(mlayer(ik)-mlayer(ik-1))
        enddo
        
        ! alph_{N-1}
        alph(ig,nsoil-1,islope)=coefd(ig,nsoil-1,islope)/
     &                  (coefq(nsoil-1)+coefd(ig,nsoil-1,islope))
        ! alph_k
        do ik=nsoil-2,1,-1
          alph(ig,ik,islope)=coefd(ig,ik,islope)/
     &         (coefq(ik)+coefd(ig,ik+1,islope)*
     &          (1.-alph(ig,ik+1,islope))+coefd(ig,ik,islope))
        enddo

        ! capcal
! Cstar
        capcal(ig,islope)=volcapa*layer(1)+
     &         (thermdiff(ig,1,islope)/(mlayer(1)-mlayer(0)))*
     &         (timestep*(1.-alph(ig,1,islope)))
! Cs
        capcal(ig,islope)=capcal(ig,islope)/
     &            (1.+mu*(1.0-alph(ig,1,islope))*
     &            thermdiff(ig,1,islope)/mthermdiff(ig,0,islope))
!      write(*,*)'soil: ig=',ig,' capcal(ig)=',capcal(ig)
      enddo ! islope
      enddo ! of do ig=1,ngrid
            
      endif ! of if (firstcall.or.tifeedback)

!  1. Compute soil temperatures
      IF (.not.firstcall) THEN
! First layer:
      do islope = 1,nslope
      do ig=1,ngrid
        tsoil(ig,1,islope)=(tsurf(ig,islope)+mu*beta(ig,1,islope)*
     &      thermdiff(ig,1,islope)/mthermdiff(ig,0,islope))/
     &      (1.+mu*(1.0-alph(ig,1,islope))*
     &      thermdiff(ig,1,islope)/mthermdiff(ig,0,islope))
      enddo
! Other layers:
      do ik=1,nsoil-1
        do ig=1,ngrid
          tsoil(ig,ik+1,islope)=alph(ig,ik,islope)*
     &    tsoil(ig,ik,islope)+beta(ig,ik,islope)
        enddo
      enddo
       enddo ! islope
      ENDIF! of if (.not.firstcall)

!  2. Compute beta coefficients (preprocessing for next time step)
! Bottom layer, beta_{N-1}
       do islope = 1,nslope
      do ig=1,ngrid
        beta(ig,nsoil-1,islope)=coefq(nsoil-1)*tsoil(ig,nsoil,islope)
     &      /(coefq(nsoil-1)+coefd(ig,nsoil-1,islope))
     &      +flux_geo(ig,islope)/
     &      (coefq(nsoil-1) + coefd(ig,nsoil-1,islope))
      enddo
   
! Other layers
      do ik=nsoil-2,1,-1
        do ig=1,ngrid
          beta(ig,ik,islope)=(coefq(ik)*tsoil(ig,ik+1,islope)+
     &                 coefd(ig,ik+1,islope)*beta(ig,ik+1,islope))/
     &                 (coefq(ik)+coefd(ig,ik+1,islope)*
     &                 (1.0-alph(ig,ik+1,islope))
     &                  +coefd(ig,ik,islope))
        enddo
      enddo

!  3. Compute surface diffusive flux & calorific capacity
      do ig=1,ngrid
! Cstar
!        capcal(ig)=volcapa(ig,1)*layer(ig,1)+
!     &              (thermdiff(ig,1)/(mlayer(ig,1)-mlayer(ig,0)))*
!     &              (timestep*(1.-alph(ig,1)))
! Fstar
        fluxgrd(ig,islope)=(thermdiff(ig,1,islope)/
     &              (mlayer(1)-mlayer(0)))*
     &              (beta(ig,1,islope)+(alph(ig,1,islope)-1.0)
     &              *tsoil(ig,1,islope))

!        mu=mlayer(ig,0)/(mlayer(ig,1)-mlayer(ig,0))
!        capcal(ig)=capcal(ig)/(1.+mu*(1.0-alph(ig,1))*
!     &                         thermdiff(ig,1)/mthermdiff(ig,0))
! Fs
        fluxgrd(ig,islope)=fluxgrd(ig,islope)+(capcal(ig,islope)
     &              /timestep)*
     &              (tsoil(ig,1,islope)*
     &              (1.+mu*(1.0-alph(ig,1,islope))*
     &               thermdiff(ig,1,islope)/mthermdiff(ig,0,islope))
     &               -tsurf(ig,islope)-mu*beta(ig,1,islope)*
     &                thermdiff(ig,1,islope)/mthermdiff(ig,0,islope))
      enddo
      enddo ! islope

      end subroutine soil
      
      end module soil_mod