| 1 | module adsorption_mod |
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| 2 | implicit none |
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| 3 | contains |
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| 4 | |
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| 5 | |
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| 6 | |
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| 7 | subroutine regolith_h2oadsorption(ngrid,nslope,nsoil_PEM,timelen, ps,q_co2,q_h2o,tsoil_PEM,TI_PEM, theta_h2o_adsorbded,m_h2o_adsorbed) |
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| 8 | |
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| 9 | use vertical_layers_mod, ONLY: ap,bp |
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| 10 | use comsoil_h_PEM, only: n_1km |
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| 11 | |
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| 12 | implicit none |
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| 13 | |
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| 14 | |
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| 15 | INTEGER,INTENT(IN) :: ngrid, nslope, nsoil_PEM,timelen ! size dimension |
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| 16 | REAL,INTENT(IN) :: ps(ngrid,timelen) ! surface pressure (Pa) |
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| 17 | REAL,INTENT(IN) :: q_co2(ngrid,timelen) ! Mass mixing ratio of co2 in the first layer (kg/kg) |
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| 18 | REAL,INTENT(IN) :: q_h2o(ngrid,timelen) ! Mass mixing ratio of H2o in the first layer (kg/kg) |
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| 19 | REAL,INTENT(IN) :: TI_PEM(ngrid,nsoil_PEM,nslope) ! Soil Thermal inertia (J/K/^2/s^1/2) |
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| 20 | REAL,INTENT(IN) :: tsoil_PEM(ngrid,nsoil_PEM,nslope) ! Soil temperature (K) |
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| 21 | |
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| 22 | |
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| 23 | ! output |
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| 24 | REAL,INTENT(OUT) :: m_h2o_adsorbed(ngrid,nsoil_PEM,nslope) ! Density of h2o adsorbed (kg/m^3) |
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| 25 | REAL,INTENT(OUT) :: theta_h2o_adsorbded(ngrid,nsoil_PEM,nslope) ! Fraction of the pores occupied by H2O molecules |
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| 26 | |
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| 27 | |
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| 28 | ! constant |
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| 29 | REAL :: Ko = 1.57e-8 ! Jackosky et al. 1997 |
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| 30 | REAL :: e = 2573.9 ! Jackosky et al. 1997 |
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| 31 | REAL :: mu = 0.48 ! Jackosky et al. 1997 |
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| 32 | REAL :: inertie_thresold = 800. ! TI > 800 means cementation |
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| 33 | real :: m_h2o = 18.01528E-3 ! Molecular weight of h2o (kg/mol) |
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| 34 | real :: m_co2 = 44.01E-3 ! Molecular weight of co2 (kg/mol) |
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| 35 | real :: m_noco2 = 33.37E-3 ! Molecular weight of non co2 (kg/mol) |
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| 36 | REAL :: rho_regolith = 2000. ! density of the reoglith, Buhler & Piqueux 2021 |
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| 37 | real :: alpha_clapeyron = -6143.7! eq. (2) in Murphy & Koop 2005 |
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| 38 | real :: beta_clapeyron = 29.9074 ! eq. (2) in Murphy & Koop 2005 |
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| 39 | real :: mi = 2.84e-7 ! Mass of h2o per m^2 absorbed Jackosky et al. 1997 |
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| 40 | real :: as = 18.9e3 ! Specific area, Buhler & Piqueux 2021 |
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| 41 | |
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| 42 | |
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| 43 | |
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| 44 | |
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| 45 | |
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| 46 | ! local variable |
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| 47 | real :: A,B ! Used to compute the mean mass above the surface |
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| 48 | real :: K ! Used to compute theta |
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| 49 | real :: p_sat ! saturated vapor pressure of ice |
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| 50 | integer ig,iloop, islope,isoil,it ! for loops |
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| 51 | real,allocatable :: mass_mean(:,:) ! mean mass above the surface |
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| 52 | real,allocatable :: zplev_mean(:,:) ! pressure above the surface |
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| 53 | real,allocatable :: pvapor(:,:) ! partial pressure above the surface |
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| 54 | real, allocatable :: pvapor_avg(:) ! yearly average vapor pressure above the surface |
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| 55 | |
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| 56 | |
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| 57 | |
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| 58 | ! 0. Some initializations |
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| 59 | |
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| 60 | |
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| 61 | |
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| 62 | allocate(mass_mean(ngrid,timelen)) |
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| 63 | allocate(zplev_mean(ngrid,timelen)) |
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| 64 | allocate(pvapor(ngrid,timelen)) |
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| 65 | allocate(pvapor_avg(ngrid)) |
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| 66 | |
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| 67 | m_h2o_adsorbed(:,:,:) = 0. |
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| 68 | theta_h2o_adsorbded(:,:,:) = 0. |
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| 69 | A =(1/m_co2 - 1/m_noco2) |
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| 70 | B=1/m_noco2 |
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| 71 | ! 1. Compute rho surface yearly averaged |
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| 72 | |
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| 73 | ! 1.1 Compute the partial pressure of vapor |
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| 74 | !a. the molecular mass into the column |
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| 75 | do ig = 1,ngrid |
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| 76 | mass_mean(ig,:) = 1/(A*q_co2(ig,:) +B) |
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| 77 | enddo |
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| 78 | |
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| 79 | |
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| 80 | ! b. pressure level |
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| 81 | do it = 1,timelen |
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| 82 | do ig = 1,ngrid |
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| 83 | zplev_mean(ig,it) = ap(1) + bp(1)*ps(ig,it) |
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| 84 | enddo |
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| 85 | enddo |
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| 86 | |
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| 87 | ! c. Vapor pressure |
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| 88 | pvapor(:,:) = mass_mean(:,:)/m_h2o*q_h2o(:,:)*zplev_mean(:,:) |
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| 89 | pvapor_avg(:) = sum(pvapor(:,:),2)/timelen |
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| 90 | |
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| 91 | deallocate(pvapor) |
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| 92 | deallocate(zplev_mean) |
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| 93 | deallocate(mass_mean) |
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| 94 | |
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| 95 | |
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| 96 | |
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| 97 | |
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| 98 | |
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| 99 | ! 2. we compute the mass of co2 adsorded in each layer of the meshes |
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| 100 | |
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| 101 | do ig = 1,ngrid |
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| 102 | do islope = 1,nslope |
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| 103 | do iloop = 1,n_1km |
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| 104 | if(TI_PEM(ig,iloop,islope).lt.inertie_thresold) then |
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| 105 | K = Ko*exp(e/tsoil_PEM(ig,iloop,islope)) |
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| 106 | theta_h2o_adsorbded(ig,iloop,islope) = (K*pvapor_avg(ig)/(1+K*pvapor_avg(ig)))**mu |
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| 107 | m_h2o_adsorbed(ig,iloop,islope) = as*theta_h2o_adsorbded(ig,iloop,islope)*mi*rho_regolith |
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| 108 | else |
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| 109 | p_sat =exp(alpha_clapeyron/tsoil_PEM(ig,iloop,islope) +beta_clapeyron) ! we assume fixed temperature in the ice ... not really:q good but ... |
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| 110 | theta_h2o_adsorbded(ig,iloop,islope) = (K*p_sat/(1+K*p_sat))**mu |
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| 111 | m_h2o_adsorbed(ig,iloop,islope) =as*theta_h2o_adsorbded(ig,iloop,islope)*mi*rho_regolith |
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| 112 | endif |
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| 113 | |
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| 114 | enddo |
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| 115 | enddo |
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| 116 | enddo |
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| 117 | |
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| 118 | RETURN |
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| 119 | end subroutine |
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| 120 | |
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| 121 | |
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| 122 | SUBROUTINE regolith_co2adsorption(ngrid,nslope,nsoil_PEM,timelen,ps,tsoil_PEM,TI_PEM,tend_h2oglaciers,tend_co2glaciers,co2ice,waterice,q_co2,q_h2o,m_co2_completesoil,delta_mreg) |
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| 123 | use comsoil_h_PEM, only: layer_PEM, mlayer_PEM,n_1km |
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| 124 | USE comcstfi_h, only: r, cpp, mugaz, g, rcp, pi, rad |
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| 125 | use comslope_mod, only : subslope_dist,def_slope_mean |
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| 126 | use vertical_layers_mod, ONLY: ap,bp |
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| 127 | |
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| 128 | IMPLICIT NONE |
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| 129 | ! Input: |
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| 130 | INTEGER,INTENT(IN) :: ngrid, nslope, nsoil_PEM,timelen ! size dimension |
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| 131 | REAL,INTENT(IN) :: ps(ngrid,timelen) ! Average surface pressure [Pa] |
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| 132 | REAL,INTENT(IN) :: tsoil_PEM(ngrid,nsoil_PEM,nslope) ! Mean Soil Temperature [K] |
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| 133 | REAL,INTENT(IN) :: TI_PEM(ngrid,nsoil_PEM,nslope) ! Mean Thermal Inertia [USI] |
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| 134 | REAL,INTENT(IN) :: tend_h2oglaciers(ngrid,nslope),tend_co2glaciers(ngrid,nslope) !tendancies on the glaciers () |
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| 135 | REAL,INTENT(IN) :: q_co2(ngrid,timelen),q_h2o(ngrid,timelen) ! Mass mixing ratio of co2 and h2o in the first layer (kg/kg) |
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| 136 | REAL,INTENT(IN) :: waterice(ngrid,nslope) ! water ice at the surface [kg/m^2] |
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| 137 | REAL,INTENT(IN) :: co2ice(ngrid,nslope) ! co2 ice at the surface [kg/m^2] |
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| 138 | |
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| 139 | ! Outputs: |
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| 140 | REAL,INTENT(INOUT) :: m_co2_completesoil(ngrid,nsoil_PEM,nslope) ! Density of co2 adsorbed (kg/m^3) |
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| 141 | REAL,INTENT(INOUT) :: delta_mreg(ngrid) ! Difference density of co2 adsorbed (kg/m^3) |
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| 142 | |
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| 143 | |
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| 144 | |
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| 145 | ! Constants: |
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| 146 | |
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| 147 | REAL :: alpha = 7.512e-6 ! Zent & Quinn 1995 |
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| 148 | REAL :: beta = -1541.5 ! Zent & Quinn 1995 |
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| 149 | REAL :: inertie_thresold = 800. ! TI > 800 means cementation |
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| 150 | REAL :: rho_regolith = 2000. ! density of the reoglith, buhler & piqueux 2021 |
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| 151 | real :: m_co2 = 44.01E-3 ! Molecular weight of co2 (kg/mol) |
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| 152 | real :: m_noco2 = 33.37E-3 ! Molecular weight of h2o (kg/mol) |
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| 153 | real :: m_theta = 4.27e-7 ! Mass of co2 per m^2 absorbed |
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| 154 | real :: as = 18.9e3 ! Specific area, Buhler & Piqueux 2021 |
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| 155 | |
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| 156 | ! Local |
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| 157 | real :: A,B ! Used to compute the mean mass above the surface |
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| 158 | INTEGER :: ig,islope,iloop,it ! for loops |
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| 159 | REAL :: dm_co2_regolith_slope(ngrid,nsoil_PEM,nslope) ! elementary mass adsorded per mesh per slope |
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| 160 | INTEGER :: ispermanent_co2glaciers(ngrid,nslope) ! Check if the glacier is permanent |
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| 161 | INTEGER :: ispermanent_h2oglaciers(ngrid,nslope) ! Check if the glacier is permanent |
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| 162 | REAL :: deltam_reg_complete(ngrid,n_1km,nslope) ! Difference in the mass per slope and soil layer (kg/m^3) |
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| 163 | REAL :: deltam_reg_slope(ngrid,nslope) ! Difference in the mass per slope (kg/m^3) |
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| 164 | REAL :: m_h2o_adsorbed(ngrid,nsoil_PEM,nslope) ! Density of CO2 adsorbed (kg/m^3) |
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| 165 | REAL :: theta_h2o_adsorbed(ngrid,nsoil_PEM,nslope) ! Fraction of the pores occupied by H2O molecules |
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| 166 | !timelen array are allocated because heavy ... |
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| 167 | real,allocatable :: mass_mean(:,:) ! mean mass above the surface |
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| 168 | real,allocatable :: zplev_mean(:,:) ! pressure above the surface |
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| 169 | real,allocatable :: pco2(:,:) ! partial pressure above the surface |
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| 170 | real, allocatable :: pco2_avg(:) ! yearly averaged |
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| 171 | |
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| 172 | |
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| 173 | |
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| 174 | ! 0. Some initializations |
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| 175 | |
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| 176 | |
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| 177 | |
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| 178 | allocate(mass_mean(ngrid,timelen)) |
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| 179 | allocate(zplev_mean(ngrid,timelen)) |
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| 180 | allocate(pco2(ngrid,timelen)) |
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| 181 | allocate(pco2_avg(ngrid)) |
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| 182 | |
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| 183 | m_h2o_adsorbed(:,:,:) = 0. |
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| 184 | A =(1/m_co2 - 1/m_noco2) |
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| 185 | B=1/m_noco2 |
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| 186 | |
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| 187 | dm_co2_regolith_slope(:,:,:) = 0 |
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| 188 | delta_mreg(:) = 0. |
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| 189 | |
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| 190 | |
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| 191 | |
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| 192 | !0.1 Look at perenial ice |
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| 193 | do ig = 1,ngrid |
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| 194 | do islope = 1,nslope |
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| 195 | if((abs(tend_h2oglaciers(ig,islope)).gt.1e-5).and.(abs(waterice(ig,islope)).gt.0)) then |
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| 196 | ispermanent_h2oglaciers(ig,islope) = 1 |
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| 197 | else |
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| 198 | ispermanent_h2oglaciers(ig,islope) = 0 |
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| 199 | endif |
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| 200 | |
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| 201 | if((abs(tend_co2glaciers(ig,islope)).gt.1e-5).and.(abs(co2ice(ig,islope)).gt.0)) then |
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| 202 | ispermanent_co2glaciers(ig,islope) = 1 |
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| 203 | else |
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| 204 | ispermanent_co2glaciers(ig,islope) = 0 |
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| 205 | endif |
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| 206 | enddo |
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| 207 | enddo |
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| 208 | |
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| 209 | |
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| 210 | ! 0.2 Compute the partial pressure of CO2 |
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| 211 | !a. the molecular mass into the column |
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| 212 | do ig = 1,ngrid |
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| 213 | mass_mean(ig,:) = 1/(A*q_co2(ig,:) +B) |
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| 214 | enddo |
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| 215 | |
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| 216 | |
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| 217 | ! b. pressure level |
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| 218 | do it = 1,timelen |
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| 219 | do ig = 1,ngrid |
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| 220 | zplev_mean(ig,it) = ap(1) + bp(1)*ps(ig,it) |
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| 221 | enddo |
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| 222 | enddo |
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| 223 | |
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| 224 | ! c. Vapor pressure |
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| 225 | pco2(:,:) = mass_mean(:,:)/m_co2*q_co2(:,:)*zplev_mean(:,:) |
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| 226 | pco2_avg(:) = sum(pco2(:,:),2)/timelen |
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| 227 | |
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| 228 | |
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| 229 | deallocate(zplev_mean) |
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| 230 | deallocate(mass_mean) |
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| 231 | deallocate(pco2) |
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| 232 | |
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| 233 | |
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| 234 | ! 1. Compute the fraction of the pores occupied by H2O |
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| 235 | call regolith_h2oadsorption(ngrid,nslope,nsoil_PEM,timelen, ps,q_co2,q_h2o,tsoil_PEM,TI_PEM,theta_h2o_adsorbed, m_h2o_adsorbed) |
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| 236 | |
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| 237 | |
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| 238 | |
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| 239 | ! 2. we compute the mass of co2 adsorded in each layer of the meshes |
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| 240 | |
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| 241 | do ig = 1,ngrid |
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| 242 | do islope = 1,nslope |
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| 243 | do iloop = 1,n_1km |
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| 244 | if((TI_PEM(ig,iloop,islope).lt.inertie_thresold).and.(ispermanent_h2oglaciers(ig,islope).eq.0).and.(ispermanent_co2glaciers(ig,islope).eq.0)) then |
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| 245 | dm_co2_regolith_slope(ig,iloop,islope) = as*rho_regolith*m_theta*(1-theta_h2o_adsorbed(ig,iloop,islope))*alpha*pco2_avg(ig)/ & |
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| 246 | (alpha*pco2_avg(ig)+sqrt(tsoil_PEM(ig,iloop,islope))*exp(beta/tsoil_PEM(ig,iloop,islope))) |
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| 247 | else |
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| 248 | if(abs(m_co2_completesoil(ig,iloop,islope)).lt.1-10) then !!! we are at first call |
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| 249 | dm_co2_regolith_slope(ig,iloop,islope) = as*rho_regolith*m_theta*(1-theta_h2o_adsorbed(ig,iloop,islope))*alpha*pco2_avg(ig) & |
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| 250 | /(alpha*pco2_avg(ig)+sqrt(tsoil_PEM(ig,iloop,islope))*exp(beta/tsoil_PEM(ig,iloop,islope))) |
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| 251 | else ! no change: permanent ice stick the atoms of CO2 |
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| 252 | dm_co2_regolith_slope(ig,iloop,islope) = m_co2_completesoil(ig,iloop,islope) |
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| 253 | endif |
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| 254 | endif |
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| 255 | enddo |
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| 256 | enddo |
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| 257 | enddo |
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| 258 | |
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| 259 | |
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| 260 | ! 2. Check the exchange between the atmosphere and the regolith |
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| 261 | |
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| 262 | do ig = 1,ngrid |
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| 263 | delta_mreg(ig) = 0. |
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| 264 | do islope = 1,nslope |
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| 265 | deltam_reg_slope(ig,islope) = 0. |
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| 266 | do iloop = 1,n_1km |
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| 267 | if((TI_PEM(ig,iloop,islope).lt.inertie_thresold).and.(ispermanent_h2oglaciers(ig,islope).eq.0).and.(ispermanent_co2glaciers(ig,islope).eq.0)) then |
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| 268 | deltam_reg_complete(ig,iloop,islope) = (dm_co2_regolith_slope(ig,iloop,islope) - m_co2_completesoil(ig,iloop,islope)) & |
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| 269 | *(layer_PEM(iloop+1) - layer_PEM(iloop)) |
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| 270 | else ! NO EXCHANGE AS ICE BLOCK THE DYNAMIC! |
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| 271 | deltam_reg_complete(ig,iloop,islope) = 0. |
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| 272 | endif |
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| 273 | deltam_reg_slope(ig,islope) = deltam_reg_slope(ig,islope) + deltam_reg_complete(ig,iloop,islope) |
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| 274 | enddo |
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| 275 | delta_mreg(ig) = delta_mreg(ig) + deltam_reg_slope(ig,islope)*subslope_dist(ig,islope)/cos(pi*def_slope_mean(islope)/180.) |
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| 276 | enddo |
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| 277 | enddo |
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| 278 | m_co2_completesoil(:,:,:) = dm_co2_regolith_slope(:,:,:) |
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| 279 | |
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| 280 | |
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| 281 | !======================================================================= |
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| 282 | RETURN |
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| 283 | END |
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| 284 | |
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| 285 | |
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| 286 | end module |
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