[4] | 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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