[2962] | 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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[2985] | 60 | |
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[2962] | 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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