1 | MODULE glaciers_mod |
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2 | |
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3 | implicit none |
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4 | |
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5 | |
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6 | ! Flags for ice management |
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7 | logical :: h2oice_flow ! True by default, to compute H2O ice flow. Read in "run_PEM.def" |
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8 | logical :: co2ice_flow ! True by default, to compute CO2 ice flow. Read in "run_PEM.def" |
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9 | logical :: metam_h2oice ! False by default, to compute H2O ice metamorphism. Read in "run_PEM.def" |
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10 | logical :: metam_co2ice ! False by default, to compute CO2 ice metamorphism. Read in "run_PEM.def" |
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11 | |
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12 | ! Thresholds for ice management |
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13 | real, save :: inf_h2oice_threshold ! To consider the amount of H2O ice as an infinite reservoir [kg.m-2] |
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14 | real, save :: metam_h2oice_threshold ! To consider frost is becoming perennial H2O ice [kg.m-2] |
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15 | real, save :: metam_co2ice_threshold ! To consider frost is becoming perennial CO2 ice [kg.m-2] |
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16 | |
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17 | !======================================================================= |
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18 | contains |
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19 | !======================================================================= |
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20 | |
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21 | SUBROUTINE flow_co2glaciers(timelen,ngrid,nslope,iflat,subslope_dist,def_slope_mean,vmr_co2_PEM,ps_PCM,global_avg_ps_PCM,global_avg_ps_PEM,co2ice,flag_co2flow,flag_co2flow_mesh) |
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22 | |
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23 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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24 | !!! |
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25 | !!! Purpose: Main for CO2 glaciers evolution: compute maximum thickness, and do |
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26 | !!! the ice transfer |
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27 | !!! |
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28 | !!! |
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29 | !!! Author: LL |
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30 | !!! |
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31 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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32 | |
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33 | implicit none |
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34 | |
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35 | ! arguments |
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36 | ! --------- |
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37 | |
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38 | ! Inputs: |
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39 | integer, intent(in) :: timelen, ngrid, nslope, iflat ! number of time sample, physical points, subslopes, index of the flat subslope |
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40 | real, dimension(ngrid,nslope), intent(in) :: subslope_dist ! Physical points x Slopes: Distribution of the subgrid slopes |
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41 | real, dimension(ngrid), intent(in) :: def_slope_mean ! Physical points: values of the sub grid slope angles |
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42 | real, dimension(ngrid,timelen), intent(in) :: vmr_co2_PEM ! Physical x Time field : VMR of co2 in the first layer [mol/mol] |
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43 | real, dimension(ngrid,timelen), intent(in) :: ps_PCM ! Physical x Time field: surface pressure given by the PCM [Pa] |
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44 | real, intent(in) :: global_avg_ps_PCM ! Global averaged surface pressure from the PCM [Pa] |
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45 | real, intent(in) :: global_avg_ps_PEM ! global averaged surface pressure during the PEM iteration [Pa] |
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46 | |
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47 | ! Ouputs: |
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48 | real, dimension(ngrid,nslope), intent(inout) :: co2ice ! Physical x Slope field: co2 ice on the subgrid slopes [kg/m^2] |
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49 | real, dimension(ngrid,nslope), intent(inout) :: flag_co2flow ! flag to see if there is flow on the subgrid slopes |
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50 | real, dimension(ngrid), intent(inout) :: flag_co2flow_mesh ! same but within the mesh |
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51 | |
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52 | ! Local |
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53 | real, dimension(ngrid,nslope) :: Tcond ! Physical field: CO2 condensation temperature [K] |
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54 | real, dimension(ngrid,nslope) :: hmax ! Physical x Slope field: maximum thickness for co2 glacier before flow |
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55 | |
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56 | !----------------------------- |
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57 | write(*,*) "Flow of CO2 glaciers" |
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58 | |
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59 | call computeTcondCO2(timelen,ngrid,nslope,vmr_co2_PEM,ps_PCM,global_avg_ps_PCM,global_avg_ps_PEM,Tcond) |
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60 | call compute_hmaxglaciers(ngrid,nslope,iflat,def_slope_mean,Tcond,"co2",hmax) |
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61 | call transfer_ice_duringflow(ngrid,nslope,iflat, subslope_dist,def_slope_mean,hmax,Tcond,"co2",co2ice,flag_co2flow,flag_co2flow_mesh) |
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62 | |
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63 | END SUBROUTINE flow_co2glaciers |
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64 | |
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65 | !======================================================================= |
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66 | |
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67 | SUBROUTINE flow_h2oglaciers(timelen,ngrid,nslope,iflat,subslope_dist,def_slope_mean,Tice,h2oice,flag_h2oflow,flag_h2oflow_mesh) |
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68 | |
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69 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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70 | !!! |
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71 | !!! Purpose: Main for H2O glaciers evolution: compute maximum thickness, and do |
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72 | !!! the ice transfer |
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73 | !!! |
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74 | !!! |
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75 | !!! Author: LL |
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76 | !!! |
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77 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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78 | |
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79 | implicit none |
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80 | |
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81 | ! arguments |
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82 | ! --------- |
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83 | |
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84 | ! Inputs: |
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85 | integer,intent(in) :: timelen,ngrid,nslope,iflat ! number of time sample, physical points, subslopes, index of the flat subslope |
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86 | real,intent(in) :: subslope_dist(ngrid,nslope), def_slope_mean(ngrid) ! Physical points x Slopes : Distribution of the subgrid slopes; Slopes: values of the sub grid slope angles |
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87 | real,intent(in) :: Tice(ngrid,nslope) ! Ice Temperature [K] |
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88 | ! Ouputs: |
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89 | real,intent(inout) :: h2oice(ngrid,nslope) ! Physical x Slope field: co2 ice on the subgrid slopes [kg/m^2] |
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90 | real,intent(inout) :: flag_h2oflow(ngrid,nslope) ! flag to see if there is flow on the subgrid slopes |
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91 | real,intent(inout) :: flag_h2oflow_mesh(ngrid) ! same but within the mesh |
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92 | ! Local |
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93 | real :: hmax(ngrid,nslope) ! Physical x Slope field: maximum thickness for co2 glacier before flow |
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94 | |
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95 | !----------------------------- |
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96 | write(*,*) "Flow of H2O glaciers" |
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97 | |
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98 | call compute_hmaxglaciers(ngrid,nslope,iflat,def_slope_mean,Tice,"h2o",hmax) |
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99 | call transfer_ice_duringflow(ngrid,nslope,iflat, subslope_dist,def_slope_mean,hmax,Tice,"h2o",h2oice,flag_h2oflow,flag_h2oflow_mesh) |
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100 | |
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101 | END SUBROUTINE flow_h2oglaciers |
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102 | |
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103 | !======================================================================= |
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104 | |
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105 | SUBROUTINE compute_hmaxglaciers(ngrid,nslope,iflat,def_slope_mean,Tice,name_ice,hmax) |
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106 | |
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107 | use abort_pem_mod, only: abort_pem |
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108 | #ifndef CPP_STD |
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109 | use comcstfi_h, only: pi, g |
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110 | #else |
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111 | use comcstfi_mod, only: pi, g |
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112 | #endif |
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113 | |
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114 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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115 | !!! |
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116 | !!! Purpose: Compute the maximum thickness of CO2 and H2O glaciers given a slope angle |
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117 | !!! before initating flow |
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118 | !!! |
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119 | !!! Author: LL,based on work by A.Grau Galofre (LPG) and Isaac Smith (JGR Planets 2022) |
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120 | !!! |
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121 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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122 | |
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123 | implicit none |
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124 | |
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125 | ! arguments |
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126 | ! -------- |
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127 | |
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128 | ! Inputs |
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129 | integer,intent(in) :: ngrid,nslope ! # of grid points and subslopes |
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130 | integer,intent(in) :: iflat ! index of the flat subslope |
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131 | real,intent(in) :: def_slope_mean(nslope) ! Slope field: Values of the subgrid slope angles [deg] |
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132 | real,intent(in) :: Tice(ngrid,nslope) ! Physical field: ice temperature [K] |
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133 | character(len=3), intent(in) :: name_ice ! Nature of the ice |
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134 | ! Outputs |
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135 | real,intent(out) :: hmax(ngrid,nslope) ! Physical grid x Slope field: maximum thickness before flaw [m] |
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136 | ! Local |
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137 | DOUBLE PRECISION :: tau_d ! characteristic basal drag, understood as the stress that an ice mass flowing under its weight balanced by viscosity. Value obtained from I.Smith |
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138 | real :: rho(ngrid,nslope) ! co2 ice density [kg/m^3] |
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139 | integer :: ig,islope ! loop variables |
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140 | real :: slo_angle |
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141 | |
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142 | ! 1. Compute rho |
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143 | if(name_ice.eq."co2") then |
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144 | DO ig = 1,ngrid |
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145 | DO islope = 1,nslope |
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146 | rho(ig,islope) = (1.72391 - 2.53e-4*Tice(ig,islope)-2.87*1e-7*Tice(ig,islope)**2)*1e3 ! Mangan et al. 2017 |
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147 | tau_d = 5.e3 |
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148 | ENDDO |
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149 | ENDDO |
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150 | elseif (name_ice.eq."h2o") then |
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151 | DO ig = 1,ngrid |
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152 | DO islope = 1,nslope |
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153 | rho(ig,islope) = -3.5353e-4*Tice(ig,islope)**2+ 0.0351* Tice(ig,islope) + 933.5030 ! Rottgers, 2012 |
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154 | tau_d = 1.e5 |
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155 | ENDDO |
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156 | ENDDO |
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157 | else |
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158 | call abort_pem("PEM - Transfer ice","Name of ice is not co2 or h2o",1) |
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159 | endif |
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160 | |
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161 | ! 3. Compute max thickness |
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162 | DO ig = 1,ngrid |
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163 | DO islope = 1,nslope |
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164 | if(islope.eq.iflat) then |
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165 | hmax(ig,islope) = 1.e8 |
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166 | else |
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167 | slo_angle = abs(def_slope_mean(islope)*pi/180.) |
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168 | hmax(ig,islope) = tau_d/(rho(ig,islope)*g*slo_angle) |
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169 | endif |
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170 | ENDDO |
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171 | ENDDO |
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172 | END SUBROUTINE compute_hmaxglaciers |
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173 | |
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174 | !======================================================================= |
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175 | |
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176 | SUBROUTINE transfer_ice_duringflow(ngrid,nslope,iflat,subslope_dist,def_slope_mean,hmax,Tice,name_ice,qice,flag_flow,flag_flowmesh) |
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177 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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178 | !!! |
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179 | !!! Purpose: Transfer the excess of ice from one subslope to another |
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180 | !!! No transfer between mesh at the time |
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181 | !!! Author: LL |
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182 | !!! |
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183 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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184 | |
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185 | use abort_pem_mod, only: abort_pem |
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186 | #ifndef CPP_STD |
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187 | use comcstfi_h, only: pi |
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188 | #else |
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189 | use comcstfi_mod, only: pi |
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190 | #endif |
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191 | |
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192 | implicit none |
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193 | |
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194 | ! arguments |
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195 | ! -------- |
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196 | |
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197 | ! Inputs |
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198 | integer, intent(in) :: ngrid,nslope !# of physical points and subslope |
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199 | integer, intent(in) :: iflat ! index of the flat subslope |
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200 | real, intent(in) :: subslope_dist(ngrid,nslope) ! Distribution of the subgrid slopes within the mesh |
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201 | real, intent(in) :: def_slope_mean(nslope) ! values of the subgrid slopes |
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202 | real, intent(in) :: hmax(ngrid,nslope) ! maximum height of the glaciers before initiating flow [m] |
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203 | real, intent(in) :: Tice(ngrid,nslope) ! Ice temperature[K] |
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204 | character(len=3), intent(in) :: name_ice ! Nature of the ice |
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205 | |
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206 | ! Outputs |
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207 | real, intent(inout) :: qice(ngrid,nslope) ! CO2 in the subslope [kg/m^2] |
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208 | real, intent(inout) :: flag_flow(ngrid,nslope) ! boolean to check if there is flow on a subgrid slope |
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209 | real, intent(inout) :: flag_flowmesh(ngrid) ! boolean to check if there is flow in the mesh |
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210 | ! Local |
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211 | integer ig,islope ! loop |
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212 | real rho(ngrid,nslope) ! density of ice, temperature dependant [kg/m^3] |
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213 | integer iaval ! ice will be transfered here |
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214 | |
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215 | ! 0. Compute rho |
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216 | if(name_ice.eq."co2") then |
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217 | DO ig = 1,ngrid |
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218 | DO islope = 1,nslope |
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219 | rho(ig,islope) = (1.72391 - 2.53e-4*Tice(ig,islope)-2.87*1e-7*Tice(ig,islope)**2)*1e3 ! Mangan et al. 2017 |
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220 | ENDDO |
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221 | ENDDO |
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222 | elseif (name_ice.eq."h2o") then |
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223 | DO ig = 1,ngrid |
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224 | DO islope = 1,nslope |
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225 | rho(ig,islope) = -3.5353e-4*Tice(ig,islope)**2+ 0.0351* Tice(ig,islope) + 933.5030 ! Rottgers, 2012 |
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226 | ENDDO |
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227 | ENDDO |
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228 | else |
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229 | call abort_pem("PEM - Transfer ice","Name of ice is not co2 or h2o",1) |
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230 | endif |
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231 | |
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232 | ! 1. Compute the transfer of ice |
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233 | |
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234 | DO ig = 1,ngrid |
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235 | DO islope = 1,nslope |
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236 | IF(islope.ne.iflat) THEN ! ice can be infinite on flat ground |
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237 | ! First: check that CO2 ice must flow (excess of ice on the slope), ice can accumulate infinitely on flat ground |
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238 | IF(qice(ig,islope).ge.rho(ig,islope)*hmax(ig,islope) * & |
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239 | cos(pi*def_slope_mean(islope)/180.)) THEN |
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240 | ! Second: determine the flatest slopes possible: |
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241 | IF(islope.gt.iflat) THEN |
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242 | iaval=islope-1 |
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243 | ELSE |
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244 | iaval=islope+1 |
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245 | ENDIF |
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246 | do while ((iaval.ne.iflat).and. & |
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247 | (subslope_dist(ig,iaval).eq.0)) |
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248 | IF(iaval.gt.iflat) THEN |
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249 | iaval=iaval-1 |
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250 | ELSE |
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251 | iaval=iaval+1 |
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252 | ENDIF |
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253 | enddo |
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254 | qice(ig,iaval) = qice(ig,iaval) + & |
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255 | (qice(ig,islope) - rho(ig,islope)*hmax(ig,islope) * & |
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256 | cos(pi*def_slope_mean(islope)/180.)) * & |
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257 | subslope_dist(ig,islope)/subslope_dist(ig,iaval) * & |
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258 | cos(pi*def_slope_mean(iaval)/180.) / & |
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259 | cos(pi*def_slope_mean(islope)/180.) |
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260 | |
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261 | qice(ig,islope)=rho(ig,islope)*hmax(ig,islope) * & |
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262 | cos(pi*def_slope_mean(islope)/180.) |
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263 | |
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264 | flag_flow(ig,islope) = 1. |
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265 | flag_flowmesh(ig) = 1. |
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266 | ENDIF ! co2ice > hmax |
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267 | ENDIF ! iflat |
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268 | ENDDO !islope |
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269 | ENDDO !ig |
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270 | END SUBROUTINE |
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271 | |
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272 | !======================================================================= |
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273 | |
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274 | SUBROUTINE computeTcondCO2(timelen,ngrid,nslope,vmr_co2_PEM,ps_PCM,global_avg_ps_PCM,global_avg_ps_PEM,Tcond) |
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275 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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276 | !!! |
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277 | !!! Purpose: Compute CO2 condensation temperature |
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278 | !!! |
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279 | !!! Author: LL |
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280 | !!! |
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281 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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282 | |
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283 | use constants_marspem_mod,only : alpha_clap_co2,beta_clap_co2 |
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284 | |
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285 | implicit none |
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286 | |
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287 | ! arguments: |
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288 | ! ---------- |
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289 | |
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290 | ! INPUT |
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291 | integer, intent(in) :: timelen, ngrid, nslope ! # of timesample, physical points, subslopes |
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292 | real, dimension(ngrid,timelen), intent(in) :: vmr_co2_PEM ! Physical points x times field: VMR of CO2 in the first layer [mol/mol] |
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293 | real, dimension(ngrid,timelen), intent(in) :: ps_PCM ! Physical points x times field: surface pressure in the PCM [Pa] |
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294 | real, intent(in) :: global_avg_ps_PCM ! Global averaged surfacepressure in the PCM [Pa] |
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295 | real, intent(in) :: global_avg_ps_PEM ! Global averaged surface pressure computed during the PEM iteration |
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296 | |
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297 | ! OUTPUT |
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298 | real, dimension(ngrid,nslope), intent(out) :: Tcond ! Physical points: condensation temperature of CO2, yearly averaged |
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299 | |
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300 | ! LOCAL |
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301 | integer :: ig, it ! For loop |
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302 | real :: ave ! Intermediate to compute average |
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303 | |
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304 | !!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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305 | do ig = 1,ngrid |
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306 | ave = 0 |
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307 | do it = 1,timelen |
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308 | ave = ave + beta_clap_co2/(alpha_clap_co2 - log(vmr_co2_PEM(ig,it)*ps_PCM(ig,it)*global_avg_ps_PCM/global_avg_ps_PEM/100)) |
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309 | enddo |
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310 | Tcond(ig,:) = ave/timelen |
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311 | enddo |
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312 | |
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313 | END SUBROUTINE computeTcondCO2 |
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314 | |
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315 | END MODULE glaciers_mod |
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