1 | module soil_thermalproperties_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 | !!! |
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7 | !!! Purpose: Compute the soil thermal properties |
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8 | !!! Author: LL, 04/2023 |
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9 | !!! |
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10 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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11 | |
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12 | contains |
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13 | |
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14 | subroutine ice_thermal_properties(ispureice,pore_filling,surf_thermalinertia,ice_thermalinertia) |
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15 | |
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16 | |
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17 | |
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18 | !======================================================================= |
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19 | ! subject: Compute ice thermal properties |
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20 | ! -------- |
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21 | ! |
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22 | ! author: LL, 04/2023 |
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23 | ! ------ |
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24 | ! |
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25 | !======================================================================= |
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26 | |
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27 | USE constants_marspem_mod,only: porosity |
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28 | |
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29 | IMPLICIT NONE |
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30 | |
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31 | !----------------------------------------------------------------------- |
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32 | !======================================================================= |
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33 | ! Declarations : |
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34 | !======================================================================= |
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35 | ! |
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36 | ! Input/Output |
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37 | ! ------------ |
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38 | LOGICAL,INTENT(IN) :: ispureice ! Boolean to check if ice is massive or just pore filling |
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39 | REAL,INTENT(IN) :: pore_filling ! ice pore filling in each layer (1) |
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40 | REAL,INTENT(IN) :: surf_thermalinertia ! surface thermal inertia (J/m^2/K/s^1/2) |
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41 | REAL,INTENT(OUT) :: ice_thermalinertia ! Thermal inertia of ice when present in the pore (J/m^2/K/s^1/2) |
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42 | |
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43 | ! Local Variables |
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44 | ! -------------- |
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45 | REAL :: inertie_purewaterice = 2100 ! 2050 is better according to my computations with the formula from Siegler et al., 2012, but let's follow Mellon et al. (2004) |
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46 | !======================================================================= |
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47 | ! Beginning of the code |
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48 | !======================================================================= |
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49 | |
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50 | if(ispureice) then |
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51 | ice_thermalinertia = inertie_purewaterice |
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52 | else |
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53 | ice_thermalinertia = sqrt(surf_thermalinertia**2 + porosity*pore_filling*inertie_purewaterice**2) ! Siegler et al.,2012 |
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54 | endif |
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55 | |
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56 | end subroutine |
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57 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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58 | |
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59 | SUBROUTINE update_soil_thermalproperties(ngrid,nslope,nsoil_PEM,tendencies_waterice,waterice,p_avg_new,ice_depth,ice_thickness,TI_PEM) |
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60 | |
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61 | USE comsoil_h, only: inertiedat, volcapa |
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62 | USE comsoil_h_PEM, only: layer_PEM,inertiedat_PEM,depth_breccia,depth_bedrock,index_breccia,index_bedrock,reg_thprop_dependp |
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63 | USE vertical_layers_mod, ONLY: ap,bp |
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64 | USE constants_marspem_mod,only: TI_breccia,TI_bedrock, TI_regolith_avg |
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65 | implicit none |
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66 | ! Input: |
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67 | INTEGER,INTENT(IN) :: ngrid, nslope, nsoil_PEM ! Shape of the arrays: physical grid, number of sub-grid slopes, number of layer in the soil |
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68 | REAL,INTENT(IN) :: p_avg_new ! Global average surface pressure [Pa] |
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69 | REAL,INTENT(IN) :: tendencies_waterice(ngrid,nslope) ! Tendencies on the water ice [kg/m^2/year] |
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70 | REAL,INTENT(IN) :: waterice(ngrid,nslope) ! Surface Water ice [kg/m^2] |
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71 | REAL,INTENT(in) :: ice_depth(ngrid,nslope) ! Ice table depth [m] |
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72 | REAL,INTENT(in) :: ice_thickness(ngrid,nslope) ! Ice table thickness [m] |
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73 | ! Outputs: |
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74 | |
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75 | REAL,INTENT(INOUT) :: TI_PEM(ngrid,nsoil_PEM,nslope) ! Soil Thermal Inertia [J/m^2/K/s^1/2] |
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76 | |
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77 | ! Constants: |
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78 | |
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79 | REAL :: inertie_thresold = 800. ! Above this thermal inertia, it's ice [SI] |
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80 | REAL :: ice_inertia ! Inertia of water ice [SI] |
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81 | REAL :: P610 = 610.0 ! current average pressure on Mars [Pa] |
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82 | |
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83 | ! Local variables: |
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84 | |
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85 | INTEGER :: ig,islope,iloop,iref,k,iend |
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86 | REAL :: regolith_inertia(ngrid,nslope) ! TI of the regolith |
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87 | REAL :: delta |
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88 | REAL :: TI_breccia_new |
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89 | REAL :: ice_bottom_depth |
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90 | |
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91 | ! 1. Modification of the regolith thermal inertia. |
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92 | |
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93 | |
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94 | |
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95 | do islope = 1,nslope |
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96 | regolith_inertia(:,islope) = inertiedat_PEM(:,1) |
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97 | do ig = 1,ngrid |
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98 | if((tendencies_waterice(ig,islope).lt.-1e-5).and.(waterice(ig,islope).eq.0)) then |
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99 | regolith_inertia(ig,islope) = TI_regolith_avg |
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100 | endif |
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101 | if(reg_thprop_dependp) then |
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102 | if(TI_PEM(ig,1,islope).lt.inertie_thresold) then |
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103 | regolith_inertia(ig,islope) = regolith_inertia(ig,islope)*(p_avg_new/P610)**0.3 |
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104 | endif |
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105 | TI_breccia_new = TI_breccia*(p_avg_new/P610)**0.3 |
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106 | else |
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107 | TI_breccia_new = TI_breccia |
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108 | endif |
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109 | enddo |
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110 | enddo |
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111 | |
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112 | |
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113 | ! 2. Build new Thermal Inertia |
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114 | |
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115 | do islope=1,nslope |
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116 | do ig = 1,ngrid |
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117 | do iloop = 1,index_breccia |
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118 | TI_PEM(ig,iloop,islope) = regolith_inertia(ig,islope) |
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119 | enddo |
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120 | if(regolith_inertia(ig,islope).lt.TI_breccia_new) then |
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121 | !!! transition |
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122 | delta = depth_breccia |
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123 | TI_PEM(ig,index_breccia+1,islope) = sqrt((layer_PEM(index_breccia+1)-layer_PEM(index_breccia))/ & |
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124 | (((delta-layer_PEM(index_breccia))/(TI_PEM(ig,index_breccia,islope)**2))+ & |
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125 | ((layer_PEM(index_breccia+1)-delta)/(TI_breccia_new**2)))) |
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126 | do iloop=index_breccia+2,index_bedrock |
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127 | TI_PEM(ig,iloop,islope) = TI_breccia_new |
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128 | enddo |
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129 | else ! we keep the high ti values |
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130 | do iloop=index_breccia+1,index_bedrock |
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131 | TI_PEM(ig,iloop,islope) = TI_PEM(ig,index_breccia,islope) |
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132 | enddo |
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133 | endif ! TI PEM and breccia comparison |
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134 | !! transition |
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135 | delta = depth_bedrock |
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136 | TI_PEM(ig,index_bedrock+1,islope) = sqrt((layer_PEM(index_bedrock+1)-layer_PEM(index_bedrock))/ & |
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137 | (((delta-layer_PEM(index_bedrock))/(TI_PEM(ig,index_bedrock,islope)**2))+ & |
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138 | ((layer_PEM(index_bedrock+1)-delta)/(TI_bedrock**2)))) |
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139 | do iloop=index_bedrock+2,nsoil_PEM |
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140 | TI_PEM(ig,iloop,islope) = TI_bedrock |
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141 | enddo |
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142 | enddo ! ig |
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143 | ENDDO ! islope |
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144 | |
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145 | ! 3. Build new TI in case of ice table |
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146 | do ig=1,ngrid |
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147 | do islope=1,nslope |
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148 | if (ice_depth(ig,islope).gt.-1e-6) then |
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149 | ! 3.0 Case where it is perenial ice |
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150 | if (ice_depth(ig,islope).lt. 1e-10) then |
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151 | call ice_thermal_properties(.true.,1.,0.,ice_inertia) |
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152 | do iloop = 1,nsoil_PEM |
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153 | TI_PEM(ig,iloop,islope)=ice_inertia |
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154 | enddo |
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155 | else |
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156 | |
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157 | call ice_thermal_properties(.false.,1.,regolith_inertia(ig,islope),ice_inertia) |
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158 | ! 3.1.1 find the index of the mixed layer |
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159 | iref=0 ! initialize iref |
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160 | do k=1,nsoil_PEM ! loop on layers to find the beginning of the ice table |
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161 | if (ice_depth(ig,islope).ge.layer_PEM(k)) then |
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162 | iref=k ! pure regolith layer up to here |
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163 | else |
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164 | ! correct iref was obtained in previous cycle |
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165 | exit |
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166 | endif |
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167 | enddo |
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168 | ! 3.1.2 find the index of the end of the ice table |
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169 | iend=0 ! initialize iend |
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170 | ice_bottom_depth = ice_depth(ig,islope)+ice_thickness(ig,islope) |
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171 | do k=1,nsoil_PEM ! loop on layers to find the end of the ice table |
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172 | if (ice_bottom_depth.ge.layer_PEM(k)) then |
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173 | iend=k ! pure regolith layer up to here |
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174 | else |
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175 | ! correct iref was obtained in previous cycle |
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176 | exit |
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177 | endif |
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178 | enddo |
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179 | ! 3.2 Build the new ti |
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180 | do iloop=1,iref |
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181 | TI_PEM(ig,iloop,islope) = TI_PEM(ig,1,islope) |
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182 | enddo |
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183 | if (iref.lt.nsoil_PEM) then |
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184 | if(iref.eq.iend) then |
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185 | ! Ice table begins and end in the same mixture Mixtures with three components |
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186 | if (iref.ne.0) then ! |
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187 | ! mixed layer |
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188 | TI_PEM(ig,iref+1,islope)=sqrt((layer_PEM(iref+1)-layer_PEM(iref))/ & |
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189 | (((ice_depth(ig,islope)-layer_PEM(iref))/(TI_PEM(ig,iref,islope)**2))+ & |
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190 | ((ice_bottom_depth-ice_depth(ig,islope))/(ice_inertia**2))+ & |
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191 | ((layer_PEM(iref+1)-ice_bottom_depth)/(TI_PEM(ig,iref+1,islope)**2)))) |
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192 | else ! first layer is already a mixed layer |
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193 | ! (ie: take layer(iref=0)=0) |
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194 | TI_PEM(ig,1,islope)=sqrt((layer_PEM(1))/ & |
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195 | (((ice_depth(ig,islope))/(TI_PEM(ig,1,islope)**2))+ & |
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196 | ((ice_bottom_depth-ice_depth(ig,islope))/(ice_inertia**2))+ & |
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197 | ((layer_PEM(2)-ice_bottom_depth)/(TI_PEM(ig,2,islope)**2)))) |
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198 | endif ! of if (iref.ne.0) |
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199 | else |
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200 | if (iref.ne.0) then |
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201 | ! mixed layer |
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202 | TI_PEM(ig,iref+1,islope)=sqrt((layer_PEM(iref+1)-layer_PEM(iref))/ & |
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203 | (((ice_depth(ig,islope)-layer_PEM(iref))/(TI_PEM(ig,iref,islope)**2))+ & |
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204 | ((layer_PEM(iref+1)-ice_depth(ig,islope))/(ice_inertia**2)))) |
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205 | else ! first layer is already a mixed layer |
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206 | ! (ie: take layer(iref=0)=0) |
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207 | TI_PEM(ig,1,islope)=sqrt((layer_PEM(1))/ & |
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208 | (((ice_depth(ig,islope))/(TI_PEM(ig,1,islope)**2))+ & |
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209 | ((layer_PEM(1)-ice_depth(ig,islope))/(ice_inertia**2)))) |
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210 | endif ! of if (iref.ne.0) |
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211 | endif ! iref.eq.iend |
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212 | ! 3.3 Build the new ti |
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213 | do iloop=iref+2,iend |
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214 | TI_PEM(ig,iloop,islope)=ice_inertia |
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215 | enddo |
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216 | |
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217 | |
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218 | if(iend.lt.nsoil_PEM) then |
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219 | TI_PEM(ig,iend+1,islope)=sqrt((layer_PEM(iend+1)-layer_PEM(iend))/ & |
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220 | (((ice_bottom_depth-layer_PEM(iend))/(TI_PEM(ig,iend,islope)**2)) + & |
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221 | ((layer_PEM(iend+1)-ice_bottom_depth)/(ice_inertia**2)))) |
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222 | endif |
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223 | |
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224 | |
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225 | endif ! of if (iref.lt.(nsoilmx)) |
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226 | endif ! permanent glaciers |
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227 | endif !ice_depth(ig,islope) > 0. |
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228 | ! write(*,*) 'TI=', TI_PEM(ig,:,islope) |
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229 | enddo !islope |
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230 | enddo !ig |
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231 | |
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232 | !======================================================================= |
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233 | RETURN |
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234 | END subroutine update_soil_thermalproperties |
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235 | |
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236 | end module soil_thermalproperties_mod |
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237 | |
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