gwt-lkt.f90

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! -- Lake Transport Module
! -- todo: what to do about reactions in lake?  Decay?
! -- todo: save the lkt concentration into the lak aux variable?
! -- todo: calculate the lak DENSE aux variable using concentration?
!
! LAK flows (lakbudptr)     index var     LKT term              Transport Type
!---------------------------------------------------------------------------------
 
! -- terms from LAK that will be handled by parent APT Package
! FLOW-JA-FACE              idxbudfjf     FLOW-JA-FACE          cv2cv
! GWF (aux FLOW-AREA)       idxbudgwf     GWF                   cv2gwf
! STORAGE (aux VOLUME)      idxbudsto     none                  used for cv volumes
! FROM-MVR                  idxbudfmvr    FROM-MVR              q * cext = this%qfrommvr(:)
! TO-MVR                    idxbudtmvr    TO-MVR                q * cfeat
 
! -- LAK terms
! RAINFALL                  idxbudrain    RAINFALL              q * crain
! EVAPORATION               idxbudevap    EVAPORATION           cfeat<cevap: q*cfeat, else: q*cevap
! RUNOFF                    idxbudroff    RUNOFF                q * croff
! EXT-INFLOW                idxbudiflw    EXT-INFLOW            q * ciflw
! WITHDRAWAL                idxbudwdrl    WITHDRAWAL            q * cfeat
! EXT-OUTFLOW               idxbudoutf    EXT-OUTFLOW           q * cfeat
 
! -- terms from a flow file that should be skipped
! CONSTANT                  none          none                  none
! AUXILIARY                 none          none                  none
 
! -- terms that are written to the transport budget file
! none                      none          STORAGE (aux MASS)    dM/dt
! none                      none          AUXILIARY             none
! none                      none          CONSTANT              accumulate
!
!
module gwtlktmodule
 
  use kindmodule, only: dp, i4b
  use constantsmodule, only: dzero, done, linelength, dnodata, lenvarname
  use simmodule, only: store_error, store_error_filename
  use memorymanagermodule, only: mem_setptr
  use bndmodule, only: bndtype, getbndfromlist
  use characterstringmodule, only: characterstringtype
  use tspfmimodule, only: tspfmitype
  use lakmodule, only: laktype
  use observemodule, only: observetype
  use tspaptmodule, only: tspapttype, apt_process_obsid, &
                          apt_process_obsid12
  use matrixbasemodule
 
  implicit none
 
  public lkt_create
 
  character(len=*), parameter :: ftype = 'LKT'
  character(len=*), parameter :: flowtype = 'LAK'
  character(len=16) :: text = '             LKT'
 
  type, extends(tspapttype) :: gwtlkttype
 
    integer(I4B), pointer :: idxbudrain => null() ! index of rainfall terms in flowbudptr
    integer(I4B), pointer :: idxbudevap => null() ! index of evaporation terms in flowbudptr
    integer(I4B), pointer :: idxbudroff => null() ! index of runoff terms in flowbudptr
    integer(I4B), pointer :: idxbudiflw => null() ! index of inflow terms in flowbudptr
    integer(I4B), pointer :: idxbudwdrl => null() ! index of withdrawal terms in flowbudptr
    integer(I4B), pointer :: idxbudoutf => null() ! index of outflow terms in flowbudptr
 
    real(dp), dimension(:), pointer, contiguous :: concrain => null() ! rainfall concentration
    real(dp), dimension(:), pointer, contiguous :: concevap => null() ! evaporation concentration
    real(dp), dimension(:), pointer, contiguous :: concroff => null() ! runoff concentration
    real(dp), dimension(:), pointer, contiguous :: conciflw => null() ! inflow concentration
 
  contains
 
    procedure :: bnd_da => lkt_da
    procedure :: allocate_scalars
    procedure :: apt_allocate_arrays => lkt_allocate_arrays
    procedure :: find_apt_package => find_lkt_package
    procedure :: apt_setting_value => lkt_setting_value
    procedure :: pak_fc_expanded => lkt_fc_expanded
    procedure :: pak_solve => lkt_solve
    procedure :: pak_get_nbudterms => lkt_get_nbudterms
    procedure :: pak_setup_budobj => lkt_setup_budobj
    procedure :: pak_fill_budobj => lkt_fill_budobj
    procedure :: lkt_rain_term
    procedure :: lkt_evap_term
    procedure :: lkt_roff_term
    procedure :: lkt_iflw_term
    procedure :: lkt_wdrl_term
    procedure :: lkt_outf_term
    procedure :: pak_df_obs => lkt_df_obs
    procedure :: pak_rp_obs => lkt_rp_obs
    procedure :: pak_bd_obs => lkt_bd_obs
 
  end type gwtlkttype
 
contains
 
  !> @brief Create a new lkt package
  !<
  subroutine lkt_create(packobj, id, ibcnum, inunit, iout, namemodel, pakname, &
                        mempath, fmi, eqnsclfac, dvt, dvu, dvua)
    ! -- dummy
    class(bndtype), pointer :: packobj
    integer(I4B), intent(in) :: id
    integer(I4B), intent(in) :: ibcnum
    integer(I4B), intent(in) :: inunit
    integer(I4B), intent(in) :: iout
    character(len=*), intent(in) :: namemodel
    character(len=*), intent(in) :: pakname
    character(len=*), intent(in) :: mempath !< input memory path
    type(tspfmitype), pointer :: fmi
    real(dp), intent(in), pointer :: eqnsclfac !< governing equation scale factor
    character(len=*), intent(in) :: dvt !< For GWT, set to "CONCENTRATION" in TspAptType
    character(len=*), intent(in) :: dvu !< For GWT, set to "mass" in TspAptType
    character(len=*), intent(in) :: dvua !< For GWT, set to "M" in TspAptType
    ! -- local
    type(gwtlkttype), pointer :: lktobj
    !
    ! -- allocate the object and assign values to object variables
    allocate (lktobj)
    packobj => lktobj
    !
    ! -- create name and memory path
    call packobj%set_names(ibcnum, namemodel, pakname, ftype, mempath)
    packobj%text = text
    !
    ! -- allocate scalars
    call lktobj%allocate_scalars()
    !
    ! -- initialize package
    call packobj%pack_initialize()
 
    packobj%inunit = inunit
    packobj%iout = iout
    packobj%id = id
    packobj%ibcnum = ibcnum
    packobj%ncolbnd = 1
    packobj%iscloc = 1
    packobj%isadvpak = 1
 
    ! -- Store pointer to flow model interface.  When the GwfGwt exchange is
    !    created, it sets fmi%bndlist so that the GWT model has access to all
    !    the flow packages
    lktobj%fmi => fmi
    !
    ! -- Store pointer to governing equation scale factor
    lktobj%eqnsclfac => eqnsclfac
    !
    ! -- Set labels that will be used in generalized APT class
    lktobj%depvartype = dvt
    lktobj%depvarunit = dvu
    lktobj%depvarunitabbrev = dvua
  end subroutine lkt_create
 
  !> @brief Find corresponding lkt package
  !<
  subroutine find_lkt_package(this)
    ! -- modules
    use memorymanagermodule, only: mem_allocate
    ! -- dummy
    class(gwtlkttype) :: this
    ! -- local
    character(len=LINELENGTH) :: errmsg
    class(bndtype), pointer :: packobj
    integer(I4B) :: ip, icount
    integer(I4B) :: nbudterm
    logical :: found
    !
    ! -- Initialize found to false, and error later if flow package cannot
    !    be found
    found = .false.
    !
    ! -- If user is specifying flows in a binary budget file, then set up
    !    the budget file reader, otherwise set a pointer to the flow package
    !    budobj
    if (this%fmi%flows_from_file) then
      call this%fmi%set_aptbudobj_pointer(this%flowpackagename, this%flowbudptr)
      if (associated(this%flowbudptr)) found = .true.
      !
    else
      if (associated(this%fmi%gwfbndlist)) then
        ! -- Look through gwfbndlist for a flow package with the same name as
        !    this transport package name
        do ip = 1, this%fmi%gwfbndlist%Count()
          packobj => getbndfromlist(this%fmi%gwfbndlist, ip)
          if (packobj%packName == this%flowpackagename) then
            found = .true.
            !
            ! -- store BndType pointer to packobj, and then
            !    use the select type to point to the budobj in flow package
            this%flowpackagebnd => packobj
            select type (packobj)
            type is (laktype)
              this%flowbudptr => packobj%budobj
            end select
          end if
          if (found) exit
        end do
      end if
    end if
    !
    ! -- error if flow package not found
    if (.not. found) then
      write (errmsg, '(a)') 'Could not find flow package with name '&
                            &//trim(adjustl(this%flowpackagename))//'.'
      call store_error(errmsg)
      call store_error_filename(this%input_fname)
    end if
    !
    ! -- allocate space for idxbudssm, which indicates whether this is a
    !    special budget term or one that is a general source and sink
    nbudterm = this%flowbudptr%nbudterm
    call mem_allocate(this%idxbudssm, nbudterm, 'IDXBUDSSM', this%memoryPath)
    !
    ! -- Process budget terms and identify special budget terms
    write (this%iout, '(/, a, a)') &
      'PROCESSING '//ftype//' INFORMATION FOR ', this%packName
    write (this%iout, '(a)') '  IDENTIFYING FLOW TERMS IN '//flowtype//' PACKAGE'
    write (this%iout, '(a, i0)') &
      '  NUMBER OF '//flowtype//' = ', this%flowbudptr%ncv
    icount = 1
    do ip = 1, this%flowbudptr%nbudterm
      select case (trim(adjustl(this%flowbudptr%budterm(ip)%flowtype)))
      case ('FLOW-JA-FACE')
        this%idxbudfjf = ip
        this%idxbudssm(ip) = 0
      case ('GWF')
        this%idxbudgwf = ip
        this%idxbudssm(ip) = 0
      case ('STORAGE')
        this%idxbudsto = ip
        this%idxbudssm(ip) = 0
      case ('RAINFALL')
        this%idxbudrain = ip
        this%idxbudssm(ip) = 0
      case ('EVAPORATION')
        this%idxbudevap = ip
        this%idxbudssm(ip) = 0
      case ('RUNOFF')
        this%idxbudroff = ip
        this%idxbudssm(ip) = 0
      case ('EXT-INFLOW')
        this%idxbudiflw = ip
        this%idxbudssm(ip) = 0
      case ('WITHDRAWAL')
        this%idxbudwdrl = ip
        this%idxbudssm(ip) = 0
      case ('EXT-OUTFLOW')
        this%idxbudoutf = ip
        this%idxbudssm(ip) = 0
      case ('TO-MVR')
        this%idxbudtmvr = ip
        this%idxbudssm(ip) = 0
      case ('FROM-MVR')
        this%idxbudfmvr = ip
        this%idxbudssm(ip) = 0
      case ('AUXILIARY')
        this%idxbudaux = ip
        this%idxbudssm(ip) = 0
      case default
        !
        ! -- set idxbudssm equal to a column index for where the concentrations
        !    are stored in the concbud(nbudssm, ncv) array
        this%idxbudssm(ip) = icount
        icount = icount + 1
      end select
      write (this%iout, '(a, i0, " = ", a,/, a, i0)') &
        '  TERM ', ip, trim(adjustl(this%flowbudptr%budterm(ip)%flowtype)), &
        '   MAX NO. OF ENTRIES = ', this%flowbudptr%budterm(ip)%maxlist
    end do
    write (this%iout, '(a, //)') 'DONE PROCESSING '//ftype//' INFORMATION'
  end subroutine find_lkt_package
 
  !> @brief Value for a package-specific PERIOD setting
  !!
  !! Already resolved by the input context; this only supplies it for
  !! the shared apt_rp table echo.
  !<
  function lkt_setting_value(this, itemno, key) result(val)
    ! -- dummy
    class(gwtlkttype), intent(inout) :: this
    integer(I4B), intent(in) :: itemno
    character(len=*), intent(in) :: key
    real(dp) :: val
    !
    val = dzero
    select case (trim(key))
    case ('RAINFALL')
      val = this%concrain(itemno)
    case ('EVAPORATION')
      val = this%concevap(itemno)
    case ('RUNOFF')
      val = this%concroff(itemno)
    case ('EXT-INFLOW')
      val = this%conciflw(itemno)
    end select
  end function lkt_setting_value
 
  !> @brief Add matrix terms related to LKT
  !!
  !! This will be called from TspAptType%apt_fc_expanded()
  !! in order to add matrix terms specifically for LKT
  !<
  subroutine lkt_fc_expanded(this, rhs, ia, idxglo, matrix_sln)
    ! -- modules
    ! -- dummy
    class(gwtlkttype) :: this
    real(DP), dimension(:), intent(inout) :: rhs
    integer(I4B), dimension(:), intent(in) :: ia
    integer(I4B), dimension(:), intent(in) :: idxglo
    class(matrixbasetype), pointer :: matrix_sln
    ! -- local
    integer(I4B) :: j, n1, n2
    integer(I4B) :: iloc
    integer(I4B) :: iposd
    real(DP) :: rrate
    real(DP) :: rhsval
    real(DP) :: hcofval
    !
    ! -- add rainfall contribution
    if (this%idxbudrain /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudrain)%nlist
        call this%lkt_rain_term(j, n1, n2, rrate, rhsval, hcofval)
        iloc = this%idxlocnode(n1)
        iposd = this%idxpakdiag(n1)
        call matrix_sln%add_value_pos(iposd, hcofval)
        rhs(iloc) = rhs(iloc) + rhsval
      end do
    end if
    !
    ! -- add evaporation contribution
    if (this%idxbudevap /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudevap)%nlist
        call this%lkt_evap_term(j, n1, n2, rrate, rhsval, hcofval)
        iloc = this%idxlocnode(n1)
        iposd = this%idxpakdiag(n1)
        call matrix_sln%add_value_pos(iposd, hcofval)
        rhs(iloc) = rhs(iloc) + rhsval
      end do
    end if
    !
    ! -- add runoff contribution
    if (this%idxbudroff /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudroff)%nlist
        call this%lkt_roff_term(j, n1, n2, rrate, rhsval, hcofval)
        iloc = this%idxlocnode(n1)
        iposd = this%idxpakdiag(n1)
        call matrix_sln%add_value_pos(iposd, hcofval)
        rhs(iloc) = rhs(iloc) + rhsval
      end do
    end if
    !
    ! -- add inflow contribution
    if (this%idxbudiflw /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudiflw)%nlist
        call this%lkt_iflw_term(j, n1, n2, rrate, rhsval, hcofval)
        iloc = this%idxlocnode(n1)
        iposd = this%idxpakdiag(n1)
        call matrix_sln%add_value_pos(iposd, hcofval)
        rhs(iloc) = rhs(iloc) + rhsval
      end do
    end if
    !
    ! -- add withdrawal contribution
    if (this%idxbudwdrl /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudwdrl)%nlist
        call this%lkt_wdrl_term(j, n1, n2, rrate, rhsval, hcofval)
        iloc = this%idxlocnode(n1)
        iposd = this%idxpakdiag(n1)
        call matrix_sln%add_value_pos(iposd, hcofval)
        rhs(iloc) = rhs(iloc) + rhsval
      end do
    end if
    !
    ! -- add outflow contribution
    if (this%idxbudoutf /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudoutf)%nlist
        call this%lkt_outf_term(j, n1, n2, rrate, rhsval, hcofval)
        iloc = this%idxlocnode(n1)
        iposd = this%idxpakdiag(n1)
        call matrix_sln%add_value_pos(iposd, hcofval)
        rhs(iloc) = rhs(iloc) + rhsval
      end do
    end if
  end subroutine lkt_fc_expanded
 
  !> @brief Add terms specific to lakes to the explicit lake solve
  !<
  subroutine lkt_solve(this)
    ! -- dummy
    class(gwtlkttype) :: this
    ! -- local
    integer(I4B) :: j
    integer(I4B) :: n1, n2
    real(DP) :: rrate
    !
    ! -- add rainfall contribution
    if (this%idxbudrain /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudrain)%nlist
        call this%lkt_rain_term(j, n1, n2, rrate)
        this%dbuff(n1) = this%dbuff(n1) + rrate
      end do
    end if
    !
    ! -- add evaporation contribution
    if (this%idxbudevap /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudevap)%nlist
        call this%lkt_evap_term(j, n1, n2, rrate)
        this%dbuff(n1) = this%dbuff(n1) + rrate
      end do
    end if
    !
    ! -- add runoff contribution
    if (this%idxbudroff /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudroff)%nlist
        call this%lkt_roff_term(j, n1, n2, rrate)
        this%dbuff(n1) = this%dbuff(n1) + rrate
      end do
    end if
    !
    ! -- add inflow contribution
    if (this%idxbudiflw /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudiflw)%nlist
        call this%lkt_iflw_term(j, n1, n2, rrate)
        this%dbuff(n1) = this%dbuff(n1) + rrate
      end do
    end if
    !
    ! -- add withdrawal contribution
    if (this%idxbudwdrl /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudwdrl)%nlist
        call this%lkt_wdrl_term(j, n1, n2, rrate)
        this%dbuff(n1) = this%dbuff(n1) + rrate
      end do
    end if
    !
    ! -- add outflow contribution
    if (this%idxbudoutf /= 0) then
      do j = 1, this%flowbudptr%budterm(this%idxbudoutf)%nlist
        call this%lkt_outf_term(j, n1, n2, rrate)
        this%dbuff(n1) = this%dbuff(n1) + rrate
      end do
    end if
  end subroutine lkt_solve
 
  !> @brief Function to return the number of budget terms just for this package.
  !!
  !! This overrides a function in the parent class.
  !<
  function lkt_get_nbudterms(this) result(nbudterms)
    ! -- modules
    ! -- dummy
    class(gwtlkttype) :: this
    ! -- return
    integer(I4B) :: nbudterms
    ! -- local
    !
    ! -- Number of budget terms is 6
    nbudterms = 6
  end function lkt_get_nbudterms
 
  !> @brief Set up the budget object that stores all the lake flows
  !<
  subroutine lkt_setup_budobj(this, idx)
    ! -- modules
    use constantsmodule, only: lenbudtxt
    ! -- dummy
    class(gwtlkttype) :: this
    integer(I4B), intent(inout) :: idx
    ! -- local
    integer(I4B) :: maxlist, naux
    character(len=LENBUDTXT) :: text
    !
    ! -- Addition of mass associated with rainfall directly on lake surface
    text = '        RAINFALL'
    idx = idx + 1
    maxlist = this%flowbudptr%budterm(this%idxbudrain)%maxlist
    naux = 0
    call this%budobj%budterm(idx)%initialize(text, &
                                             this%name_model, &
                                             this%packName, &
                                             this%name_model, &
                                             this%packName, &
                                             maxlist, .false., .false., &
                                             naux)
    !
    ! -- Loss of dissolved mass associated with evaporation when a non-zero
    !    evaporative concentration is specified
    text = '     EVAPORATION'
    idx = idx + 1
    maxlist = this%flowbudptr%budterm(this%idxbudevap)%maxlist
    naux = 0
    call this%budobj%budterm(idx)%initialize(text, &
                                             this%name_model, &
                                             this%packName, &
                                             this%name_model, &
                                             this%packName, &
                                             maxlist, .false., .false., &
                                             naux)
    !
    ! -- Addition of mass associated with runoff that flows to the lake
    text = '          RUNOFF'
    idx = idx + 1
    maxlist = this%flowbudptr%budterm(this%idxbudroff)%maxlist
    naux = 0
    call this%budobj%budterm(idx)%initialize(text, &
                                             this%name_model, &
                                             this%packName, &
                                             this%name_model, &
                                             this%packName, &
                                             maxlist, .false., .false., &
                                             naux)
    !
    ! -- Addition of mass associated with user-specified inflow to the lake
    text = '      EXT-INFLOW'
    idx = idx + 1
    maxlist = this%flowbudptr%budterm(this%idxbudiflw)%maxlist
    naux = 0
    call this%budobj%budterm(idx)%initialize(text, &
                                             this%name_model, &
                                             this%packName, &
                                             this%name_model, &
                                             this%packName, &
                                             maxlist, .false., .false., &
                                             naux)
    !
    ! -- Removal of mass associated with user-specified withdrawal from lake
    text = '      WITHDRAWAL'
    idx = idx + 1
    maxlist = this%flowbudptr%budterm(this%idxbudwdrl)%maxlist
    naux = 0
    call this%budobj%budterm(idx)%initialize(text, &
                                             this%name_model, &
                                             this%packName, &
                                             this%name_model, &
                                             this%packName, &
                                             maxlist, .false., .false., &
                                             naux)
    !
    ! -- Removal of heat associated with outflow from lake that leaves
    !    model domain
    text = '     EXT-OUTFLOW'
    idx = idx + 1
    maxlist = this%flowbudptr%budterm(this%idxbudoutf)%maxlist
    naux = 0
    call this%budobj%budterm(idx)%initialize(text, &
                                             this%name_model, &
                                             this%packName, &
                                             this%name_model, &
                                             this%packName, &
                                             maxlist, .false., .false., &
                                             naux)
  end subroutine lkt_setup_budobj
 
  !> @brief Copy flow terms into this%budobj
  !<
  subroutine lkt_fill_budobj(this, idx, x, flowja, ccratin, ccratout)
    ! -- modules
    ! -- dummy
    class(gwtlkttype) :: this
    integer(I4B), intent(inout) :: idx
    real(DP), dimension(:), intent(in) :: x
    real(DP), dimension(:), contiguous, intent(inout) :: flowja
    real(DP), intent(inout) :: ccratin
    real(DP), intent(inout) :: ccratout
    ! -- local
    integer(I4B) :: j, n1, n2
    integer(I4B) :: nlist
    real(DP) :: q
    ! -- formats
    !
    ! -- RAIN
    idx = idx + 1
    nlist = this%flowbudptr%budterm(this%idxbudrain)%nlist
    call this%budobj%budterm(idx)%reset(nlist)
    do j = 1, nlist
      call this%lkt_rain_term(j, n1, n2, q)
      call this%budobj%budterm(idx)%update_term(n1, n2, q)
      call this%apt_accumulate_ccterm(n1, q, ccratin, ccratout)
    end do
    !
    ! -- EVAPORATION
    idx = idx + 1
    nlist = this%flowbudptr%budterm(this%idxbudevap)%nlist
    call this%budobj%budterm(idx)%reset(nlist)
    do j = 1, nlist
      call this%lkt_evap_term(j, n1, n2, q)
      call this%budobj%budterm(idx)%update_term(n1, n2, q)
      call this%apt_accumulate_ccterm(n1, q, ccratin, ccratout)
    end do
    !
    ! -- RUNOFF
    idx = idx + 1
    nlist = this%flowbudptr%budterm(this%idxbudroff)%nlist
    call this%budobj%budterm(idx)%reset(nlist)
    do j = 1, nlist
      call this%lkt_roff_term(j, n1, n2, q)
      call this%budobj%budterm(idx)%update_term(n1, n2, q)
      call this%apt_accumulate_ccterm(n1, q, ccratin, ccratout)
    end do
    !
    ! -- EXT-INFLOW
    idx = idx + 1
    nlist = this%flowbudptr%budterm(this%idxbudiflw)%nlist
    call this%budobj%budterm(idx)%reset(nlist)
    do j = 1, nlist
      call this%lkt_iflw_term(j, n1, n2, q)
      call this%budobj%budterm(idx)%update_term(n1, n2, q)
      call this%apt_accumulate_ccterm(n1, q, ccratin, ccratout)
    end do
    !
    ! -- WITHDRAWAL
    idx = idx + 1
    nlist = this%flowbudptr%budterm(this%idxbudwdrl)%nlist
    call this%budobj%budterm(idx)%reset(nlist)
    do j = 1, nlist
      call this%lkt_wdrl_term(j, n1, n2, q)
      call this%budobj%budterm(idx)%update_term(n1, n2, q)
      call this%apt_accumulate_ccterm(n1, q, ccratin, ccratout)
    end do
    !
    ! -- EXT-OUTFLOW
    idx = idx + 1
    nlist = this%flowbudptr%budterm(this%idxbudoutf)%nlist
    call this%budobj%budterm(idx)%reset(nlist)
    do j = 1, nlist
      call this%lkt_outf_term(j, n1, n2, q)
      call this%budobj%budterm(idx)%update_term(n1, n2, q)
      call this%apt_accumulate_ccterm(n1, q, ccratin, ccratout)
    end do
  end subroutine lkt_fill_budobj
 
  !> @brief Allocate scalars specific to the lake mass transport (LKT)
  !! package.
  !<
  subroutine allocate_scalars(this)
    ! -- modules
    use memorymanagermodule, only: mem_allocate
    ! -- dummy
    class(gwtlkttype) :: this
    ! -- local
    !
    ! -- allocate scalars in TspAptType
    call this%TspAptType%allocate_scalars()
    !
    ! -- Allocate
    call mem_allocate(this%idxbudrain, 'IDXBUDRAIN', this%memoryPath)
    call mem_allocate(this%idxbudevap, 'IDXBUDEVAP', this%memoryPath)
    call mem_allocate(this%idxbudroff, 'IDXBUDROFF', this%memoryPath)
    call mem_allocate(this%idxbudiflw, 'IDXBUDIFLW', this%memoryPath)
    call mem_allocate(this%idxbudwdrl, 'IDXBUDWDRL', this%memoryPath)
    call mem_allocate(this%idxbudoutf, 'IDXBUDOUTF', this%memoryPath)
    !
    ! -- Initialize
    this%idxbudrain = 0
    this%idxbudevap = 0
    this%idxbudroff = 0
    this%idxbudiflw = 0
    this%idxbudwdrl = 0
    this%idxbudoutf = 0
  end subroutine allocate_scalars
 
  !> @brief Allocate arrays specific to the lake mass transport (LKT)
  !! package.
  !<
  subroutine lkt_allocate_arrays(this)
    ! -- modules
    use memorymanagermodule, only: mem_setptr
    ! -- dummy
    class(gwtlkttype), intent(inout) :: this
    !
    ! -- alias into the input context's permanent, feature-indexed arrays
    ! (allocated and DZERO-initialized by the input context)
    call mem_setptr(this%concrain, 'RAINFALL', this%input_mempath)
    call mem_setptr(this%concevap, 'EVAPORATION', this%input_mempath)
    call mem_setptr(this%concroff, 'RUNOFF', this%input_mempath)
    call mem_setptr(this%conciflw, 'EXT_INFLOW', this%input_mempath)
    !
    ! -- call standard TspAptType allocate arrays
    call this%TspAptType%apt_allocate_arrays()
    !
  end subroutine lkt_allocate_arrays
 
  !> @brief Deallocate memory
  !<
  subroutine lkt_da(this)
    ! -- modules
    use memorymanagermodule, only: mem_deallocate
    ! -- dummy
    class(gwtlkttype) :: this
    ! -- local
    !
    ! -- deallocate scalars
    call mem_deallocate(this%idxbudrain)
    call mem_deallocate(this%idxbudevap)
    call mem_deallocate(this%idxbudroff)
    call mem_deallocate(this%idxbudiflw)
    call mem_deallocate(this%idxbudwdrl)
    call mem_deallocate(this%idxbudoutf)
    !
    ! -- input-context-owned aliases, not package-allocated
    nullify (this%concrain)
    nullify (this%concevap)
    nullify (this%concroff)
    nullify (this%conciflw)
    !
    ! -- deallocate scalars in TspAptType
    call this%TspAptType%bnd_da()
  end subroutine lkt_da
 
  !> @brief Rain term
  !<
  subroutine lkt_rain_term(this, ientry, n1, n2, rrate, &
                           rhsval, hcofval)
    ! -- dummy
    class(gwtlkttype) :: this
    integer(I4B), intent(in) :: ientry
    integer(I4B), intent(inout) :: n1
    integer(I4B), intent(inout) :: n2
    real(DP), intent(inout), optional :: rrate
    real(DP), intent(inout), optional :: rhsval
    real(DP), intent(inout), optional :: hcofval
    ! -- local
    real(DP) :: qbnd
    real(DP) :: ctmp
    !
    n1 = this%flowbudptr%budterm(this%idxbudrain)%id1(ientry)
    n2 = this%flowbudptr%budterm(this%idxbudrain)%id2(ientry)
    qbnd = this%flowbudptr%budterm(this%idxbudrain)%flow(ientry)
    ctmp = this%concrain(n1)
    if (present(rrate)) rrate = ctmp * qbnd
    if (present(rhsval)) rhsval = -rrate
    if (present(hcofval)) hcofval = dzero
  end subroutine lkt_rain_term
 
  !> @brief Evaporative term
  !<
  subroutine lkt_evap_term(this, ientry, n1, n2, rrate, &
                           rhsval, hcofval)
    ! -- dummy
    class(gwtlkttype) :: this
    integer(I4B), intent(in) :: ientry
    integer(I4B), intent(inout) :: n1
    integer(I4B), intent(inout) :: n2
    real(DP), intent(inout), optional :: rrate
    real(DP), intent(inout), optional :: rhsval
    real(DP), intent(inout), optional :: hcofval
    ! -- local
    real(DP) :: qbnd
    real(DP) :: ctmp
    real(DP) :: omega
    !
    n1 = this%flowbudptr%budterm(this%idxbudevap)%id1(ientry)
    n2 = this%flowbudptr%budterm(this%idxbudevap)%id2(ientry)
    ! -- note that qbnd is negative for evap
    qbnd = this%flowbudptr%budterm(this%idxbudevap)%flow(ientry)
    ctmp = this%concevap(n1)
    if (this%xnewpak(n1) < ctmp) then
      omega = done
    else
      omega = dzero
    end if
    if (present(rrate)) &
      rrate = omega * qbnd * this%xnewpak(n1) + &
              (done - omega) * qbnd * ctmp
    if (present(rhsval)) rhsval = -(done - omega) * qbnd * ctmp
    if (present(hcofval)) hcofval = omega * qbnd
  end subroutine lkt_evap_term
 
  !> @brief Runoff term
  !<
  subroutine lkt_roff_term(this, ientry, n1, n2, rrate, &
                           rhsval, hcofval)
    ! -- dummy
    class(gwtlkttype) :: this
    integer(I4B), intent(in) :: ientry
    integer(I4B), intent(inout) :: n1
    integer(I4B), intent(inout) :: n2
    real(DP), intent(inout), optional :: rrate
    real(DP), intent(inout), optional :: rhsval
    real(DP), intent(inout), optional :: hcofval
    ! -- local
    real(DP) :: qbnd
    real(DP) :: ctmp
    !
    n1 = this%flowbudptr%budterm(this%idxbudroff)%id1(ientry)
    n2 = this%flowbudptr%budterm(this%idxbudroff)%id2(ientry)
    qbnd = this%flowbudptr%budterm(this%idxbudroff)%flow(ientry)
    ctmp = this%concroff(n1)
    if (present(rrate)) rrate = ctmp * qbnd
    if (present(rhsval)) rhsval = -rrate
    if (present(hcofval)) hcofval = dzero
  end subroutine lkt_roff_term
 
  !> @brief Inflow Term
  !!
  !! Accounts for mass flowing into a lake from a connected stream, for
  !! example.
  !<
  subroutine lkt_iflw_term(this, ientry, n1, n2, rrate, &
                           rhsval, hcofval)
    ! -- dummy
    class(gwtlkttype) :: this
    integer(I4B), intent(in) :: ientry
    integer(I4B), intent(inout) :: n1
    integer(I4B), intent(inout) :: n2
    real(DP), intent(inout), optional :: rrate
    real(DP), intent(inout), optional :: rhsval
    real(DP), intent(inout), optional :: hcofval
    ! -- local
    real(DP) :: qbnd
    real(DP) :: ctmp
    !
    n1 = this%flowbudptr%budterm(this%idxbudiflw)%id1(ientry)
    n2 = this%flowbudptr%budterm(this%idxbudiflw)%id2(ientry)
    qbnd = this%flowbudptr%budterm(this%idxbudiflw)%flow(ientry)
    ctmp = this%conciflw(n1)
    if (present(rrate)) rrate = ctmp * qbnd
    if (present(rhsval)) rhsval = -rrate
    if (present(hcofval)) hcofval = dzero
  end subroutine lkt_iflw_term
 
  !> @brief Specified withdrawal term
  !!
  !! Accounts for mass associated with a withdrawal of water from a lake
  !! or group of lakes.
  !<
  subroutine lkt_wdrl_term(this, ientry, n1, n2, rrate, &
                           rhsval, hcofval)
    ! -- dummy
    class(gwtlkttype) :: this
    integer(I4B), intent(in) :: ientry
    integer(I4B), intent(inout) :: n1
    integer(I4B), intent(inout) :: n2
    real(DP), intent(inout), optional :: rrate
    real(DP), intent(inout), optional :: rhsval
    real(DP), intent(inout), optional :: hcofval
    ! -- local
    real(DP) :: qbnd
    real(DP) :: ctmp
    !
    n1 = this%flowbudptr%budterm(this%idxbudwdrl)%id1(ientry)
    n2 = this%flowbudptr%budterm(this%idxbudwdrl)%id2(ientry)
    qbnd = this%flowbudptr%budterm(this%idxbudwdrl)%flow(ientry)
    ctmp = this%xnewpak(n1)
    if (present(rrate)) rrate = ctmp * qbnd
    if (present(rhsval)) rhsval = dzero
    if (present(hcofval)) hcofval = qbnd
  end subroutine lkt_wdrl_term
 
  !> @brief Outflow term
  !!
  !! Accounts for the mass leaving a lake, for example, mass exiting a
  !! lake via a flow into a draining stream channel.
  !<
  subroutine lkt_outf_term(this, ientry, n1, n2, rrate, &
                           rhsval, hcofval)
    ! -- dummy
    class(gwtlkttype) :: this
    integer(I4B), intent(in) :: ientry
    integer(I4B), intent(inout) :: n1
    integer(I4B), intent(inout) :: n2
    real(DP), intent(inout), optional :: rrate
    real(DP), intent(inout), optional :: rhsval
    real(DP), intent(inout), optional :: hcofval
    ! -- local
    real(DP) :: qbnd
    real(DP) :: ctmp
    !
    n1 = this%flowbudptr%budterm(this%idxbudoutf)%id1(ientry)
    n2 = this%flowbudptr%budterm(this%idxbudoutf)%id2(ientry)
    qbnd = this%flowbudptr%budterm(this%idxbudoutf)%flow(ientry)
    ctmp = this%xnewpak(n1)
    if (present(rrate)) rrate = ctmp * qbnd
    if (present(rhsval)) rhsval = dzero
    if (present(hcofval)) hcofval = qbnd
  end subroutine lkt_outf_term
 
  !> @brief Defined observation types
  !!
  !! Store the observation type supported by the APT package and override
  !! BndType%bnd_df_obs
  !<
  subroutine lkt_df_obs(this)
    ! -- modules
    ! -- dummy
    class(gwtlkttype) :: this
    ! -- local
    integer(I4B) :: indx
    !
    ! -- Store obs type and assign procedure pointer
    !    for concentration observation type.
    call this%obs%StoreObsType('concentration', .false., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid
    !
    ! -- Store obs type and assign procedure pointer
    !    for flow between features, such as lake to lake.
    call this%obs%StoreObsType('flow-ja-face', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid12
    !
    ! -- Store obs type and assign procedure pointer
    !    for from-mvr observation type.
    call this%obs%StoreObsType('from-mvr', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid
    !
    ! -- Store obs type and assign procedure pointer
    !    for to-mvr observation type.
    call this%obs%StoreObsType('to-mvr', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid
    !
    ! -- Store obs type and assign procedure pointer
    !    for storage observation type.
    call this%obs%StoreObsType('storage', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid
    !
    ! -- Store obs type and assign procedure pointer
    !    for constant observation type.
    call this%obs%StoreObsType('constant', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid
    !
    ! -- Store obs type and assign procedure pointer
    !    for observation type: lkt
    call this%obs%StoreObsType('lkt', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid12
    !
    ! -- Store obs type and assign procedure pointer
    !    for rainfall observation type.
    call this%obs%StoreObsType('rainfall', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid
    !
    ! -- Store obs type and assign procedure pointer
    !    for evaporation observation type.
    call this%obs%StoreObsType('evaporation', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid
    !
    ! -- Store obs type and assign procedure pointer
    !    for runoff observation type.
    call this%obs%StoreObsType('runoff', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid
    !
    ! -- Store obs type and assign procedure pointer
    !    for inflow observation type.
    call this%obs%StoreObsType('ext-inflow', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid
    !
    ! -- Store obs type and assign procedure pointer
    !    for withdrawal observation type.
    call this%obs%StoreObsType('withdrawal', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid
    !
    ! -- Store obs type and assign procedure pointer
    !    for ext-outflow observation type.
    call this%obs%StoreObsType('ext-outflow', .true., indx)
    this%obs%obsData(indx)%ProcessIdPtr => apt_process_obsid
  end subroutine lkt_df_obs
 
  !> @brief Process package specific obs
  !!
  !! Method to process specific observations for this package.
  !<
  subroutine lkt_rp_obs(this, obsrv, found)
    ! -- dummy
    class(gwtlkttype), intent(inout) :: this !< package class
    type(observetype), intent(inout) :: obsrv !< observation object
    logical, intent(inout) :: found !< indicate whether observation was found
    ! -- local
    !
    found = .true.
    select case (obsrv%ObsTypeId)
    case ('RAINFALL')
      call this%rp_obs_byfeature(obsrv)
    case ('EVAPORATION')
      call this%rp_obs_byfeature(obsrv)
    case ('RUNOFF')
      call this%rp_obs_byfeature(obsrv)
    case ('EXT-INFLOW')
      call this%rp_obs_byfeature(obsrv)
    case ('WITHDRAWAL')
      call this%rp_obs_byfeature(obsrv)
    case ('EXT-OUTFLOW')
      call this%rp_obs_byfeature(obsrv)
    case ('TO-MVR')
      call this%rp_obs_budterm(obsrv, &
                               this%flowbudptr%budterm(this%idxbudtmvr))
    case default
      found = .false.
    end select
  end subroutine lkt_rp_obs
 
  !> @brief Calculate observation value and pass it back to APT
  !<
  subroutine lkt_bd_obs(this, obstypeid, jj, v, found)
    ! -- dummy
    class(gwtlkttype), intent(inout) :: this
    character(len=*), intent(in) :: obstypeid
    real(DP), intent(inout) :: v
    integer(I4B), intent(in) :: jj
    logical, intent(inout) :: found
    ! -- local
    integer(I4B) :: n1, n2
    !
    found = .true.
    select case (obstypeid)
    case ('RAINFALL')
      if (this%iboundpak(jj) /= 0) then
        call this%lkt_rain_term(jj, n1, n2, v)
      end if
    case ('EVAPORATION')
      if (this%iboundpak(jj) /= 0) then
        call this%lkt_evap_term(jj, n1, n2, v)
      end if
    case ('RUNOFF')
      if (this%iboundpak(jj) /= 0) then
        call this%lkt_roff_term(jj, n1, n2, v)
      end if
    case ('EXT-INFLOW')
      if (this%iboundpak(jj) /= 0) then
        call this%lkt_iflw_term(jj, n1, n2, v)
      end if
    case ('WITHDRAWAL')
      if (this%iboundpak(jj) /= 0) then
        call this%lkt_wdrl_term(jj, n1, n2, v)
      end if
    case ('EXT-OUTFLOW')
      if (this%iboundpak(jj) /= 0) then
        call this%lkt_outf_term(jj, n1, n2, v)
      end if
    case default
      found = .false.
    end select
  end subroutine lkt_bd_obs
 
end module gwtlktmodule