1 | SUBROUTINE ice_gas_solu |
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2 | |
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3 | !------------------------------------------------------------------------------! |
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4 | ! *** ice_gas_solu *** |
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5 | ! |
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6 | ! This routine computes for Argon, Oxygen, CO2 and Nitrogen |
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7 | ! - Saturation concentration (csat_gas, mmol/m3) |
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8 | ! - Solubility (sol_gas, mmol/m3/atm) |
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9 | ! in each vertical layer |
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10 | ! |
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11 | ! Refs |
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12 | ! Argon: Hamme and Emerson (2004) |
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13 | ! Oxygen: Garcia and Gordon (1992) |
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14 | ! CO2: Sarmiento and Gruber (2006), Weiss (1974) |
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15 | ! N2: Sarmiento and Gruber (2006) and references therein |
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16 | ! |
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17 | ! Original code (in ice_gas.f): S. Moreau, M. Vancoppenolle, 2012-2015 |
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18 | ! |
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19 | ! Rewriting: M. Vancopppenolle, Nov 2015 |
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20 | ! |
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21 | ! Present status : |
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22 | ! - code for Ar, not for N2 and O2 |
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23 | ! - should put mixing ratios in the namelist |
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24 | !------------------------------------------------------------------------------! |
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25 | |
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26 | USE lib_fortran |
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27 | |
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28 | INCLUDE 'type.com' |
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29 | INCLUDE 'para.com' |
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30 | INCLUDE 'const.com' |
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31 | INCLUDE 'ice.com' |
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32 | INCLUDE 'thermo.com' |
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33 | INCLUDE 'bio.com' |
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34 | |
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35 | REAL(8), DIMENSION(nlay_bio) :: |
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36 | & ztc, ! Celsius temperature |
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37 | & ztlog ! Re-scaled temperature |
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38 | |
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39 | LOGICAL :: |
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40 | & ln_write_gas = .TRUE. |
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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 | ! X) Starting the routine |
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47 | !------------------------------------------------------------------------------! |
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48 | ! |
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49 | |
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50 | IF ( ln_write_gas ) THEN |
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51 | |
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52 | WRITE(numout,*) |
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53 | WRITE(numout,*) ' *** ice_gas_solu : ' |
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54 | WRITE(numout,*) ' ~~~~~~~~~~~~~~~~~~~' |
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55 | WRITE(numout,*) |
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56 | |
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57 | ENDIF |
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58 | |
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59 | ji = 1 |
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60 | zpatm = psbqb(ji) / 101325. ! atmospheric pressure in atmospheres |
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61 | |
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62 | CALL ice_brine |
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63 | |
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64 | IF ( ln_write_gas ) THEN |
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65 | WRITE(numout,*) ' ztc : ', ztc(1:nlay_bio) |
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66 | WRITE(numout,*) ' sbr_bio : ', sbr_bio(1:nlay_bio) |
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67 | WRITE(numout,*) ' rhobr_bio: ', rhobr_bio(1:nlay_bio) |
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68 | WRITE(numout,*) |
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69 | ENDIF |
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70 | |
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71 | DO jn = 1, ntra_bio |
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72 | |
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73 | IF ( flag_active(jn) .AND. ( biotr_i_typ(jn) .EQ. 'gas' ) ) |
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74 | & THEN |
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75 | |
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76 | ! |
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77 | !------------------------------------------------------------------------------! |
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78 | ! X) Celsius temperature and rescaled temperature |
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79 | !------------------------------------------------------------------------------! |
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80 | ! |
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81 | |
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82 | DO layer = 1, nlay_bio |
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83 | |
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84 | ztc(layer) = tc_bio(layer) ! temperature in celsius |
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85 | |
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86 | ztlog(layer) = LOG( ( 298.15 - ztc(layer) ) / ! rescaled log temperature |
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87 | & ( 273.15 + ztc(layer) ) ) |
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88 | |
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89 | END DO |
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90 | |
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91 | ! |
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92 | !------------------------------------------------------------------------------! |
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93 | ! X) Saturation concentrations |
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94 | !------------------------------------------------------------------------------! |
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95 | ! !------- |
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96 | IF ( biotr_i_nam(jn) .EQ. 'Arg' ) THEN ! Argon |
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97 | !------- |
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98 | |
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99 | IF ( ln_write_gas ) THEN |
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100 | WRITE(numout,*) ' --- Argon ...' |
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101 | ENDIF |
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102 | |
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103 | ! Hamme and Emerson, 2004 |
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104 | ! form ln C = AO + A1 * Ts + A2 * Ts^2 + A3 * Ts^3 |
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105 | ! + S ( B0 + B1 * Ts + B2 * Ts^2 ) |
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106 | ! Ts = f(Tc), Tc in Celsius, S in pss |
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107 | |
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108 | !--- Polynomial coefficients (mumol/kg, Table 4) |
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109 | za0 = 2.79150 ; za1 = 3.17609 ; za2 = 4.13116 |
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110 | za3 = 4.90379 |
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111 | zb0 = -6.96233e-3 ; zb1 = -7.66670e-3 ; zb2 = -1.16888e-2 |
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112 | |
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113 | DO layer = 1, nlay_bio |
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114 | |
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115 | !--- Rescaled log temperature powers |
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116 | zt = ztlog(layer) |
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117 | zt2 = zt * zt |
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118 | zt3 = zt * zt2 |
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119 | |
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120 | !--- Saturation concentration at equilibrium with a moist atmosphere at 1-atm pressure |
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121 | zln_csat = za0 + za1*zt + za2*zt2 + za3*zt3 + |
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122 | & ( zb0 + zb1*zt + zb2*zt2 ) * sbr_bio(layer) |
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123 | |
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124 | csat_gas(jn,layer) = EXP( zln_csat ) ! in mumol/kg |
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125 | |
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126 | csat_gas(jn,layer) = csat_gas(jn,layer) * ! in mmol/m3 |
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127 | & rhobr_bio(layer) / 1000. |
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128 | |
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129 | END DO |
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130 | |
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131 | ENDIF ! 'Arg' |
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132 | |
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133 | !----------- |
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134 | IF ( biotr_i_nam(jn) .EQ. 'Oxy' ) THEN ! di-Oxygen |
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135 | !----------- |
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136 | |
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137 | IF ( ln_write_gas ) THEN |
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138 | WRITE(numout,*) ' --- Oxygen ...' |
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139 | ENDIF |
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140 | |
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141 | ! Garcia and Gordon, L&O 1992 |
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142 | ! form ln C = f(S,T), eq 8 page 1310 (! small mistake in the equation, extra-term) |
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143 | |
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144 | !--- Polynomial coefficients (mumol/kg, Table 1, last column) |
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145 | za0_sat_oxy = 5.80818; za1_sat_oxy = 3.20684 |
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146 | za2_sat_oxy = 4.11890; za3_sat_oxy = 4.93845 |
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147 | za4_sat_oxy = 1.01567; za5_sat_oxy = 1.41575 |
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148 | zb0_sat_oxy = -7.01211e-3; zb1_sat_oxy = -7.25958e-3 |
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149 | zb2_sat_oxy = -7.933343e-3; zb3_sat_oxy = -5.54491e-3 |
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150 | zc0_sat_oxy = -1.32412e-7 |
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151 | |
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152 | DO layer = 1, nlay_bio |
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153 | |
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154 | !--- Rescaled log temperature powers |
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155 | zt = ztlog(layer) |
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156 | zt2 = zt * zt |
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157 | zt3 = zt2 * zt |
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158 | zt4 = zt2 * zt2 |
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159 | zt5 = zt2 * zt3 |
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160 | |
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161 | !--- Saturation concentration at equilibrium with a moist atmosphere at 1-atm pressure |
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162 | zln_csat = ( za0_sat_oxy + za1_sat_oxy * zt + |
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163 | & za2_sat_oxy * zt2 + |
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164 | & za3_sat_oxy * zt3 + |
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165 | & za4_sat_oxy * zt4 + |
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166 | & za5_sat_oxy * zt5 + |
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167 | & sbr_bio(layer) * |
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168 | & ( zb0_sat_oxy + zb1_sat_oxy * zt + |
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169 | & zb2_sat_oxy * zt2 + |
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170 | & zb3_sat_oxy * zt3 ) + |
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171 | & zc0_sat_oxy * |
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172 | & sbr_bio(layer) * sbr_bio(layer) ) |
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173 | |
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174 | csat_gas(jn,layer) = EXP(zln_csat) ! mumol/kg |
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175 | |
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176 | csat_gas(jn,layer) = csat_gas(jn,layer) * ! in mmol/m3 |
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177 | & rhobr_bio(layer) / 1000. |
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178 | |
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179 | END DO |
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180 | |
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181 | ENDIF ! 'Oxy' |
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182 | |
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183 | !------------- |
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184 | IF ( biotr_i_nam(jn) .EQ. 'Nit' ) THEN ! di-Nitrogen |
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185 | !------------- |
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186 | |
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187 | IF ( ln_write_gas ) THEN |
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188 | WRITE(numout,*) ' --- Nitrogen ...' |
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189 | ENDIF |
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190 | |
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191 | ! Sarmiento and Gruber (2006, page 74) and references therein |
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192 | ! form ... |
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193 | |
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194 | !--- Polynomial coefficients (mumol/kg) |
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195 | za0_sat_nit = 6.42931 |
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196 | za1_sat_nit = 2.92704 |
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197 | za2_sat_nit = 4.32531 |
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198 | za3_sat_nit = 4.69149 |
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199 | zb0_sat_nit = -0.00744129 |
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200 | zb1_sat_nit = -0.00802566 |
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201 | zb2_sat_nit = -0.0146775 |
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202 | |
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203 | DO layer = 1, nlay_bio |
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204 | |
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205 | !--- Rescaled log temperature powers |
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206 | zts = ztlog(layer) |
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207 | zts2 = zts * zts |
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208 | zts3 = zts2 * zts |
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209 | |
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210 | zln_csat = za0_sat_nit + za1_sat_nit * zts + |
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211 | & za2_sat_nit * zts2 + |
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212 | & za3_sat_nit * zts3 |
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213 | & + sbr_bio(layer) * |
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214 | & ( zb0_sat_nit + zb1_sat_nit * zts + |
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215 | & zb2_sat_nit * zts2 ) |
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216 | |
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217 | csat_gas(jn,layer) = EXP(zln_csat) ! mumol/kg |
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218 | |
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219 | csat_gas(jn,layer) = csat_gas(jn,layer) * ! in mmol/m3 |
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220 | & rhobr_bio(layer) / 1000. |
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221 | |
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222 | END DO ! layer |
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223 | |
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224 | ENDIF ! 'Nit' |
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225 | |
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226 | !------------- |
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227 | IF ( biotr_i_nam(jn) .EQ. 'CO2' ) THEN ! CO2 |
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228 | !------------- |
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229 | |
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230 | IF ( ln_write_gas ) THEN |
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231 | WRITE(numout,*) ' --- CO2 ...' |
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232 | ENDIF |
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233 | |
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234 | ! Sarmiento and Gruber, 2006 (Weiss, 1974 with total ph scale) |
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235 | ! form C = mix_rat * exp[ f(S,T) ], Table 3.2.2 |
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236 | |
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237 | za0_sat_CO2 = -160.7333; za1_sat_CO2 = 215.4152 |
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238 | za2_sat_CO2 = 89.8920; za3_sat_CO2 = -1.47759 |
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239 | |
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240 | zb0_sat_CO2 = 0.029941; zb1_sat_CO2 = -0.027455 |
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241 | zb2_sat_CO2 = 0.0053407 |
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242 | |
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243 | DO layer = 1, nlay_bio |
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244 | |
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245 | !--- temperature powers |
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246 | zt = t_i_bio(layer) ! Temperature (K) |
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247 | z100_t = 100. / zt |
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248 | zt_100 = zt / 100. |
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249 | zt_100_2 = zt_100 * zt_100 |
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250 | |
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251 | zsat_CO2 = mixr_gas(jn) * |
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252 | & EXP ( za0_sat_CO2 + |
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253 | & za1_sat_CO2 * z100_t + ! zsat_CO2 is the CO2 concentration at saturation |
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254 | & za2_sat_CO2 * log (zt_100) + ! zsat_CO2 is in mol/kg |
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255 | & za3_sat_CO2 * zt_100_2 + |
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256 | & sbr_bio(layer) * |
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257 | & ( zb0_sat_CO2 + |
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258 | & zb1_sat_CO2 * zt_100 + |
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259 | & zb2_sat_CO2 * zt_100_2 ) ) |
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260 | |
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261 | csat_gas(jn,layer) = zsat_CO2 * rhobr_bio(layer) * 1000. ! mmol/m3 |
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262 | |
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263 | ! WRITE(numout,*) '--------------------------- ' |
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264 | ! WRITE(numout,*) ' jn, layer: ', jn,layer |
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265 | ! WRITE(numout,*) ' mixr_gas : ', mixr_gas(jn) |
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266 | ! WRITE(numout,*) ' rhobr_bio: ', rhobr_bio(layer) |
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267 | ! WRITE(numout,*) ' zsat_CO2 : ', zsat_CO2 |
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268 | ! WRITE(numout,*) ' zt : ', zt |
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269 | ! WRITE(numout,*) ' z100_t : ', z100_t |
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270 | ! WRITE(numout,*) ' zt_100 : ', zt_100 |
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271 | ! WRITE(numout,*) ' zt_100_2 : ', zt_100_2 |
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272 | ! WRITE(numout,*) ' csat_gas : ', csat_gas(jn,layer) |
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273 | ! WRITE(numout,*) '--------------------------- ' |
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274 | |
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275 | END DO ! layer |
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276 | |
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277 | ENDIF ! 'CO2' |
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278 | |
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279 | WRITE(numout,*) ' ---> csat_gas: ', csat_gas(jn,:) |
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280 | WRITE(numout,*) |
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281 | |
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282 | !------------------------------------------------------------------------------! |
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283 | |
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284 | ENDIF ! flags |
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285 | END DO ! jn |
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286 | |
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287 | ! |
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288 | !------------------------------------------------------------------------------! |
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289 | ! X) Solubility and partial pressure |
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290 | !------------------------------------------------------------------------------! |
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291 | ! |
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292 | DO jn = 1, ntra_bio |
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293 | |
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294 | sol_gas(jn,:) = 0. |
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295 | |
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296 | IF ( flag_active(jn) .AND. ( biotr_i_typ(jn) .EQ. 'gas' ) ) |
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297 | & THEN |
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298 | |
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299 | sol_gas(jn,:) = csat_gas(jn,:) / mixr_gas(jn) ! solubility, ./m3/atm |
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300 | |
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301 | IF ( ln_write_gas ) THEN |
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302 | WRITE(numout,*) ' Tracer number : ', jn |
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303 | WRITE(numout,*) ' --- ', biotr_i_nam(jn) |
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304 | WRITE(numout,*) ' sol_gas(jn,:) : ', sol_gas(jn,:) |
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305 | ENDIF |
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306 | |
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307 | ENDIF |
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308 | |
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309 | END DO |
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310 | ! |
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311 | !------------------------------------------------------------------------------! |
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312 | ! X) End of the routine |
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313 | !------------------------------------------------------------------------------! |
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314 | ! |
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315 | WRITE(numout,*) |
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316 | WRITE(numout,*) ' End of ice_gas_solu ' |
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317 | WRITE(numout,*) '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~' |
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318 | WRITE(numout,*) |
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319 | |
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320 | RETURN |
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321 | |
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322 | END |
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