| 1 | SUBROUTINE ice_carb_chem |
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| 2 | |
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| 3 | !------------------------------------------------------------------------------! |
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| 4 | ! *** ice_carb_chem *** |
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| 5 | ! |
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| 6 | ! This routine re-equilibrates the chemical species of the carbonate system |
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| 7 | ! given two variables (DIC and Alk, or CO2 and Alk) |
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| 8 | ! |
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| 9 | ! Original code: Zeebe and Wolf-Gladrow, 2001. CO2 in Seawater: |
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| 10 | ! Equilibrium, Kinetics, Isotopes. |
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| 11 | ! (http://www.soest.hawaii.edu/oceanography/faculty/zeebe_files/CO2_System_in_Seawater/csys.html) |
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| 12 | ! |
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| 13 | ! Translation in F90: S. Moreau, P.-Y Barriat, S. Dubinkina, June 2012 |
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| 14 | ! |
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| 15 | ! Rewriting: M. Vancopppenolle, S. Moreau, Dec 2015 |
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| 16 | ! |
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| 17 | ! - Remove dummy arrays for T and S (use t_i_bio and sbr_bio instead) |
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| 18 | ! - change the name of the routine |
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| 19 | ! - remove the obsolete declarations |
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| 20 | |
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| 21 | ! Present status : c_i_bio(13,*) is wrong... to be continued!! |
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| 22 | ! |
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| 23 | !------------------------------------------------------------------------------! |
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| 24 | |
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| 25 | USE lib_fortran |
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| 26 | |
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| 27 | INCLUDE 'type.com' |
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| 28 | INCLUDE 'para.com' |
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| 29 | INCLUDE 'const.com' |
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| 30 | INCLUDE 'ice.com' |
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| 31 | INCLUDE 'thermo.com' |
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| 32 | INCLUDE 'bio.com' |
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| 33 | |
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| 34 | EXTERNAL zgeev ! lapack (computes the eigenvalues of complex nonsymmetric matrix) |
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| 35 | |
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| 36 | REAL(8), DIMENSION(nlay_bio) :: |
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| 37 | & Kw, !: Equilibrium constants |
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| 38 | & Kh, |
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| 39 | & Kb, |
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| 40 | & Ks, |
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| 41 | & Kf, |
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| 42 | & K1, |
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| 43 | & K2 |
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| 44 | |
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| 45 | REAL(8) :: ! define local variables |
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| 46 | & h1, |
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| 47 | & ztmp, |
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| 48 | & ztmp1, |
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| 49 | & ztmp2, |
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| 50 | & ztmp3, |
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| 51 | & ztmp4, |
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| 52 | & zbor, |
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| 53 | & zT, |
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| 54 | & z1T, |
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| 55 | & zlogT, |
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| 56 | & zT2, |
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| 57 | & zT3, |
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| 58 | & ztc, |
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| 59 | & ztc2, |
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| 60 | & ztc3, |
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| 61 | & zS12, |
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| 62 | & zS, |
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| 63 | & zS32, |
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| 64 | & zS2, |
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| 65 | & zhp |
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| 66 | |
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| 67 | LOGICAL :: |
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| 68 | & ln_write_bio = .TRUE. |
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| 69 | |
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| 70 | REAL(8), DIMENSION(6) :: |
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| 71 | & zpoly |
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| 72 | |
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| 73 | INTEGER(4), PARAMETER :: ! Parameters for H+ retrieval |
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| 74 | & n_hp = 5 ! size of the polynom |
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| 75 | |
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| 76 | REAL(8) :: |
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| 77 | & zb5(2,0:n_hp), |
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| 78 | & zrwrk(2*n_hp) |
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| 79 | |
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| 80 | INTEGER(4) |
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| 81 | & zinfo |
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| 82 | |
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| 83 | ! COMPLEX(16) :: |
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| 84 | DOUBLE COMPLEX :: |
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| 85 | & zA(n_hp+1,n_hp+1), |
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| 86 | & zvl(n_hp,n_hp), |
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| 87 | & zvr(n_hp,n_hp), |
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| 88 | & zwrk(3*n_hp), |
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| 89 | & zeigs(n_hp) |
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| 90 | |
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| 91 | !==============================================================================! |
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| 92 | |
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| 93 | IF ( ln_write_bio ) THEN |
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| 94 | |
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| 95 | WRITE(numout,*) |
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| 96 | WRITE(numout,*) ' ice_carb_chem ' |
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| 97 | WRITE(numout,*) '~~~~~~~~~~~~~~~' |
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| 98 | WRITE(numout,*) |
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| 99 | |
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| 100 | ENDIF |
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| 101 | |
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| 102 | CALL ice_brine |
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| 103 | |
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| 104 | DO layer = 1, nlay_bio |
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| 105 | |
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| 106 | !------------------------------------------------------------ |
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| 107 | ! 1) Physical inputs (temperature and brine salinity) |
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| 108 | !------------------------------------------------------------ |
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| 109 | |
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| 110 | ! temperature factors |
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| 111 | zT = t_i_bio(layer) |
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| 112 | z1t = 1.d0/zT |
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| 113 | zlogT = LOG(zT) |
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| 114 | zT2 = zT*zT |
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| 115 | |
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| 116 | ! Brine salinity factors |
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| 117 | ztc = tc_bio(layer) |
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| 118 | ztc2 = ztc*ztc |
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| 119 | ztc3 = ztc2 * ztc |
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| 120 | |
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| 121 | zS12 = SQRT(sbr_bio(layer)) |
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| 122 | zS = sbr_bio(layer) |
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| 123 | zS32 = zS12*zS |
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| 124 | zS2 = zS*zS |
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| 125 | |
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| 126 | !---------------------------------------------------------------- |
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| 127 | ! 2) Equilibrium constants |
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| 128 | !---------------------------------------------------------------- |
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| 129 | ! |
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| 130 | ! units: mol/kg-soln |
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| 131 | ! set phflag (0:Total), (1:Free) |
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| 132 | |
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| 133 | !--- Kw (water dissociation constant) |
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| 134 | !-------------------------------------- |
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| 135 | ! |
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| 136 | ! Millero (1995)(in Dickson and Goyet (1994, Chapter 5, p.18)) |
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| 137 | ! K_w in mol/kg-soln. |
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| 138 | ! pH-scale: total scale. |
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| 139 | |
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| 140 | ztmp1 = -13847.26*z1T + 148.96502 - 23.6521*zlogT |
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| 141 | ztmp2 = ( 118.67*z1T - 5.977 + 1.0495*zlogT)*zs12 - 0.01615*zS |
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| 142 | |
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| 143 | ztmp = ztmp1 + ztmp2 |
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| 144 | |
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| 145 | Kw(layer) = EXP(ztmp) |
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| 146 | |
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| 147 | !--- Kh (Henry's solubility) |
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| 148 | !---------------------------- |
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| 149 | ! |
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| 150 | ! CO2(g) <-> CO2(aq.) |
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| 151 | ! Kh = [CO2]/ p CO2 |
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| 152 | ! |
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| 153 | ! Weiss (1974) [mol/kg/atm] |
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| 154 | ! |
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| 155 | |
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| 156 | ztmp = 9345.17*z1t - 60.2409 + 23.3585*(zlogt - LOG(100.)) |
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| 157 | ztmp = ztmp + zS*( 0.023517 - 2.3656e-4*zT + 4.7036e-7*zT2 ) |
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| 158 | |
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| 159 | Kh(layer) = EXP(ztmp) |
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| 160 | |
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| 161 | !--- K1 (first acidity constant) |
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| 162 | !-------------------------------- |
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| 163 | ! [H+].[HCO3-]/[CO2] = K1 |
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| 164 | |
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| 165 | IF ( nn_carbonate .EQ. 1 ) THEN |
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| 166 | ! Roy et al. (1993) IN: Dickson and Goyet (1994), Ch. 5, p. 14 |
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| 167 | ! pH-scale: 'total'. mol/kg-soln |
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| 168 | |
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| 169 | ztmp1 = 2.83655 - 2307.1266*z1t - |
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| 170 | & 1.5529413*zlogt |
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| 171 | ztmp2 = - ( 0.20760841 + 4.0484 *z1t ) * zs12 |
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| 172 | ztmp3 = 0.08468345*zS - 0.00654208*zS32 |
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| 173 | ztmp4 = LOG( 1. - 0.001005*zS ) |
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| 174 | |
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| 175 | ztmp = ztmp1 + ztmp2 + ztmp3 + ztmp4 |
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| 176 | |
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| 177 | K1(layer) = EXP(ztmp) |
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| 178 | |
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| 179 | ELSE |
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| 180 | ! Mehrbach et al (1973) refit by Lueker et al. (2000). |
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| 181 | ! pH-scale: 'total'. mol/kg-soln |
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| 182 | ztmp = 3633.86 * z1t - 61.2172 + 9.6777*zlogt - |
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| 183 | & 0.011555*zS + 0.0001152*zS2 |
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| 184 | |
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| 185 | K1(layer) = 10**(-ztmp) |
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| 186 | |
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| 187 | ENDIF |
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| 188 | |
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| 189 | !--- K2 (second acidity constant) |
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| 190 | !--------------------------------- |
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| 191 | ! [H+].[CO32-]/[HCO3-] = K2 |
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| 192 | |
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| 193 | IF ( nn_carbonate .EQ. 1 ) THEN |
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| 194 | ! Roy et al 1993, total ph-scale mol/kg-soln |
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| 195 | ztmp1 = - 9.226508 - 3351.6106*z1t - 0.2005743*zlogt |
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| 196 | ztmp2 = ( -0.106901773 - 23.9722*z1t ) * zs12 |
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| 197 | ztmp3 = 0.1130822*zs - 8.46934e-3*zs32 + LOG(1.-1.005e-3*zS) |
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| 198 | |
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| 199 | ztmp = ztmp1 + ztmp2 + ztmp3 |
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| 200 | |
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| 201 | K2(layer) = EXP(ztmp) |
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| 202 | |
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| 203 | ELSE |
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| 204 | |
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| 205 | ! Mehrbach et al. (1973) refit by Lueker et al. (2000). |
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| 206 | ztmp = 471.78*z1T + 25.9290 - |
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| 207 | & 3.16967*zlogT - |
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| 208 | & 0.01781*zS + 0.0001122*zS2 |
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| 209 | |
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| 210 | K2(layer) = 10**(-ztmp) |
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| 211 | |
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| 212 | ENDIF |
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| 213 | |
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| 214 | !--- KB (Boron dissociation constant) |
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| 215 | !------------------------------------- |
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| 216 | ! Kbor = [H+][B(OH)4-]/[B(OH)3] |
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| 217 | ! Dickson (1990), IN:Dickson and Goyet, 1994, Chapter 5, p. 14) |
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| 218 | ! pH-scale: 'total'. mol/kg-soln |
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| 219 | |
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| 220 | ztmp1 = ( -8966.90 - 2890.53*zs12 - 77.942 * zS + |
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| 221 | & 1.728*zS32 - 0.0996*zS2 ) |
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| 222 | ztmp2 = 148.0248 + 137.1942 * zs12 + 1.62142 * zS |
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| 223 | ztmp3 = (-24.4344 - 25.085*zs12 - 0.2474*zs)*zlogT |
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| 224 | |
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| 225 | ztmp = ztmp1 * z1t + ztmp2 + ztmp3 + 0.053105*zs12*zT |
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| 226 | |
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| 227 | Kb(layer) = EXP(ztmp) |
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| 228 | |
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| 229 | END DO ! layer |
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| 230 | |
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| 231 | IF ( ln_write_bio ) THEN |
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| 232 | |
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| 233 | WRITE(numout,*) |
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| 234 | WRITE(numout,*) ' Carbonate system constants ' |
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| 235 | WRITE(numout,*) '~~~~~~~~~~~~~~~~~~~~~~~~~~~~' |
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| 236 | WRITE(numout,*) |
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| 237 | WRITE(numout,*) ' Kw :',( Kw(layer), layer=layer_00, nlay_bio ) |
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| 238 | WRITE(numout,*) |
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| 239 | WRITE(numout,*) ' Kh :',( Kh(layer), layer=layer_00, nlay_bio ) |
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| 240 | WRITE(numout,*) |
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| 241 | WRITE(numout,*) ' K1 :',( K1(layer), layer=layer_00, nlay_bio ) |
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| 242 | WRITE(numout,*) |
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| 243 | WRITE(numout,*) ' K2 :',( K2(layer), layer=layer_00, nlay_bio ) |
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| 244 | WRITE(numout,*) |
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| 245 | WRITE(numout,*) ' Kb :',( Kb(layer), layer=layer_00, nlay_bio ) |
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| 246 | |
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| 247 | ENDIF |
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| 248 | |
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| 249 | !------------------------------------------------------------------------ |
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| 250 | ! 3) Convert brine concentrations units (mmol/m3 -> mol/kg) |
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| 251 | !------------------------------------------------------------------------ |
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| 252 | ! mmol/m3 to mol/kg |
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| 253 | DO layer = 1, nlay_bio |
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| 254 | |
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| 255 | zunit = 1000. * rhobr_bio(layer) |
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| 256 | |
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| 257 | c_i_bio(jn_dic,layer) = |
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| 258 | & c_i_bio(jn_dic,layer) / zunit |
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| 259 | |
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| 260 | c_i_bio(jn_alk,layer) = |
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| 261 | & c_i_bio(jn_alk,layer) / zunit |
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| 262 | |
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| 263 | END DO |
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| 264 | |
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| 265 | ! Alk |
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| 266 | |
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| 267 | !------------------------------------------------------------------------ |
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| 268 | ! 4) Carbonate system equilibration |
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| 269 | !------------------------------------------------------------------------ |
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| 270 | |
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| 271 | DO layer = 1, nlay_bio |
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| 272 | |
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| 273 | !--- polynomial coefficients |
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| 274 | !---------------------------- |
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| 275 | zbor = 1.*(416.*(sbr_bio(layer)/35.))* 1.e-6 ! Total boron (mol/kg), DOE94 |
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| 276 | |
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| 277 | ! Compute the coefficients of the 5th order polynom for H+ |
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| 278 | ! -> Check Orr et al GMD 2015 and Munhoven et al., GBC2014 for more efficient computations |
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| 279 | |
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| 280 | ! poly = [p5 p4 p3 p2 p1 p0] |
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| 281 | ! test = p5 h⁵ + p4 h⁴ + p3 h³ + p2 h² + p1 h¹ + p0 |
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| 282 | |
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| 283 | zpoly(1) = - 1. ! p5 |
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| 284 | |
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| 285 | zpoly(2) = - c_i_bio(jn_alk,layer) - ! p4 |
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| 286 | & Kb(layer) - K1(layer) |
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| 287 | |
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| 288 | zpoly(3) = c_i_bio(jn_dic,layer)*K1(layer) - ! p3 |
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| 289 | & c_i_bio(jn_alk,layer)*( Kb(layer) + K1(layer) ) + |
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| 290 | & Kb(layer)*zbor + Kw(layer) - |
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| 291 | & Kb(layer)*K1(layer) - K1(layer)*K2(layer) |
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| 292 | |
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| 293 | ztmp = c_i_bio(jn_alk,layer)*( Kb(layer)*K1(layer) + |
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| 294 | & 2.*K1(layer)*K2(layer)) - c_i_bio(jn_dic,layer)* |
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| 295 | & ( Kb(layer)*K1(layer) + K1(layer)*K2(layer) ) + |
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| 296 | & Kb(layer)*zbor*K1(layer) |
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| 297 | |
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| 298 | zpoly(4) = ztmp + Kw(layer)*Kb(layer) + ! p2 |
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| 299 | & Kw(layer)*K1(layer) - |
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| 300 | & Kb(layer)*K1(layer)*K2(layer) |
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| 301 | |
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| 302 | ztmp = ( 2.*c_i_bio(jn_dic,layer) - |
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| 303 | & c_i_bio(jn_alk,layer) + zbor)* |
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| 304 | & K1(layer)*K2(layer)*Kb(layer) |
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| 305 | |
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| 306 | zpoly(5) = ztmp + ( Kb(layer) + K2(layer) )* ! p1 |
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| 307 | & K1(layer)*Kw(layer) |
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| 308 | |
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| 309 | zpoly(6) = Kw(layer)*Kb(layer)*K1(layer)*K2(layer) ! p0 |
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| 310 | |
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| 311 | !--- find roots of the 5th degree monic polynomial |
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| 312 | !-------------------------------------------------- |
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| 313 | zb5(1,0:n_hp) = zpoly(:) |
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| 314 | zb5(2,:) = 0.d0 |
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| 315 | |
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| 316 | ! IF ( ln_write_bio ) THEN |
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| 317 | ! WRITE(numout,*) |
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| 318 | ! WRITE(numout,*) ' zb5 - 1 : ', zb5(1,0:n_hp) |
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| 319 | ! WRITE(numout,*) ' zb5 - 2 : ', zb5(2,0:n_hp) |
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| 320 | ! WRITE(numout,*) |
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| 321 | ! WRITE(numout,*) ' zpoly : ', zpoly |
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| 322 | ! WRITE(numout,*) |
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| 323 | ! ENDIF |
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| 324 | |
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| 325 | ! Setup companion matrix for polynomials |
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| 326 | DO i = 1, n_hp + 1 |
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| 327 | DO j = 1, n_hp + 1 |
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| 328 | IF ( j .EQ. n_hp+1 ) THEN |
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| 329 | zA(i,j) = -DCMPLX(zb5(1, n_hp+1-i),zb5(2,n_hp+1-i)) |
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| 330 | ELSE IF (J.EQ.I-1) THEN |
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| 331 | zA(i,j) = DCMPLX(1.d0,0.d0) |
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| 332 | ELSE |
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| 333 | zA(i,j) = DCMPLX(0.d0,0.d0) |
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| 334 | ENDIF |
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| 335 | END DO |
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| 336 | END DO |
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| 337 | |
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| 338 | ! IF ( ln_write_bio ) THEN |
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| 339 | ! WRITE(numout,*) |
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| 340 | ! WRITE(numout,*) ' zA : ', zA |
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| 341 | ! WRITE(numout,*) |
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| 342 | ! ENDIF |
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| 343 | |
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| 344 | ! Calculate eigenvalues of companion matrix (LAPACK) |
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| 345 | ! 'N' -> left eigen vectors are not computed |
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| 346 | ! 'N' -> right egien vectors are not computer |
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| 347 | ! n_hp+1 -> order of the matrix A |
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| 348 | ! A -> complex matrix, dimension (LDA, N) |
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| 349 | ! ->IN: complex NxN |
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| 350 | ! ->OUT: overwritten |
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| 351 | ! n_hp+1 -> leading dimension of A |
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| 352 | ! zeigs-> computed eigen values |
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| 353 | ! zvl -> dummy (unused here) left eigenvector |
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| 354 | ! n_hp + 1 -> dimension of eigen vector |
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| 355 | ! zvr -> dummy (unused here) left eigenvector |
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| 356 | ! n_hp + 1 -> dimension of right eigen vector |
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| 357 | ! zwrk, zrwrk -> workarray |
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| 358 | ! 3*n_hp+3 -> size of workarray |
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| 359 | ! zinfo -> =0 successful work |
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| 360 | CALL zgeev('N','N',n_hp+1,zA,n_hp+1,zeigs,zvl,n_hp+1, |
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| 361 | & zvr,n_hp+1,zwrk,3*n_hp+3,zrwrk,zinfo) |
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| 362 | |
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| 363 | zhp = MAXVAL( REAL ( zeigs ) ) |
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| 364 | |
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| 365 | ! Print eigenvalues of companion matrix (roots of the polynom) |
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| 366 | ! IF ( ln_write_bio ) THEN |
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| 367 | ! WRITE(numout,*) |
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| 368 | ! WRITE(numout,*) ' zinfo : ', zinfo |
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| 369 | ! WRITE(numout,*) |
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| 370 | ! WRITE(numout,*) ' zeigs :', ( zeigs(i), i = 1, n_hp ) |
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| 371 | ! WRITE(numout,*) |
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| 372 | ! WRITE(numout,*) ' zhp :', zhp |
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| 373 | ! WRITE(numout,*) |
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| 374 | ! WRITE(numout,*) ' pH : ', -LOG10( zhp ) |
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| 375 | ! WRITE(numout,*) |
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| 376 | ! WRITE(numout,*) |
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| 377 | ! ENDIF |
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| 378 | |
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| 379 | !--- Retrieve carbonate system diagnostics |
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| 380 | !-------------------------------------------------- |
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| 381 | |
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| 382 | zhp2 = zhp * zhp ! [H+]^2 |
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| 383 | |
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| 384 | c_i_bio(jn_co2, layer) = c_i_bio(jn_dic, layer) / ! CO2 |
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| 385 | & ( 1. + K1(layer) / zhp + |
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| 386 | & K1(layer)*K2(layer) / zhp2 ) |
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| 387 | |
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| 388 | CO2aq(layer) = c_i_bio(jn_co2,layer) !--- temporary as jn_co2 is bound to disappear |
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| 389 | |
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| 390 | CO32m(layer) = c_i_bio(jn_dic,layer) / ! CO32- |
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| 391 | & ( 1. + zhp / K2(layer) + |
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| 392 | & zhp2 / K1(layer) / K2(layer) ) |
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| 393 | |
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| 394 | HCO3m(layer) = c_i_bio(jn_dic,layer) / ! HCO3- |
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| 395 | & ( 1. + zhp / K1(layer) + |
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| 396 | & K2(layer) / zhp ) |
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| 397 | |
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| 398 | pH(layer) = -LOG10( zhp ) |
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| 399 | |
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| 400 | pCO2(layer) = CO2aq(layer) / Kh(layer) ! pCO2 = CO2aq / Kh |
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| 401 | |
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| 402 | END DO ! layer |
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| 403 | |
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| 404 | !------------------------------------------------------------------------ |
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| 405 | ! 5) Convert units (mol/kg to mmol/m3), retrieve bulk concentrations |
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| 406 | !------------------------------------------------------------------------ |
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| 407 | |
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| 408 | DO layer = 1, nlay_bio |
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| 409 | |
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| 410 | ! mol/kg -> mmol/m3 |
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| 411 | zunit = 1000. * rhobr_bio(layer) |
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| 412 | |
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| 413 | c_i_bio(jn_dic,layer) = c_i_bio(jn_dic,layer) * zunit !--- dont change DIC and TA, can remove |
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| 414 | c_i_bio(jn_alk,layer) = c_i_bio(jn_alk,layer) * zunit !--- dont change DIC and TA, can remove |
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| 415 | c_i_bio(jn_co2,layer) = c_i_bio(jn_co2,layer) * zunit |
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| 416 | CO2aq(layer) = CO2aq(layer) * zunit |
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| 417 | CO32m(layer) = CO32m(layer) * zunit |
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| 418 | HCO3m(layer) = HCO3m(layer) * zunit |
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| 419 | |
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| 420 | ! brine -> bulk |
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| 421 | cbu_i_bio(jn_co2,layer) = c_i_bio(jn_co2,layer)*e_i_bio(layer) |
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| 422 | CO2aq(layer) = CO2aq(layer)*e_i_bio(layer) |
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| 423 | CO32m(layer) = CO32m(layer)*e_i_bio(layer) |
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| 424 | HCO3m(layer) = HCO3m(layer)*e_i_bio(layer) |
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| 425 | |
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| 426 | ! atm-> muatm |
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| 427 | pCO2(layer) = pCO2(layer) * 1.0e6 |
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| 428 | |
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| 429 | END DO |
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| 430 | |
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| 431 | !------------------------------------------------------------------------ |
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| 432 | ! 6) Control Print |
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| 433 | !------------------------------------------------------------------------ |
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| 434 | |
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| 435 | IF ( ln_write_bio ) THEN |
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| 436 | |
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| 437 | WRITE(numout,*) |
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| 438 | WRITE(numout,*) ' ** End of ice_carb_chem ' |
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| 439 | WRITE(numout,*) ' ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ' |
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| 440 | WRITE(numout,*) ' At time step : ', numit |
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| 441 | WRITE(numout,*) ' ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ' |
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| 442 | WRITE(numout,*) |
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| 443 | |
|---|
| 444 | |
|---|
| 445 | DO jn = 1, ntra_bio |
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| 446 | |
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| 447 | IF ( ( jn .EQ. jn_dic ) .OR. ( jn .EQ. jn_alk ) .OR. |
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| 448 | & ( jn .EQ. jn_co2 ) ) THEN |
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| 449 | |
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| 450 | WRITE(numout,*) ' Tracer : ', biotr_i_nam(jn) |
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| 451 | WRITE(numout,*) ' c_i_bio : ', ( c_i_bio(jn,layer), |
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| 452 | & layer = 1, nlay_bio ) |
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| 453 | WRITE(numout,*) ' cbu_i_bio: ', ( cbu_i_bio(jn,layer), |
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| 454 | & layer = 1, nlay_bio ) |
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| 455 | ENDIF |
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| 456 | |
|---|
| 457 | END DO |
|---|
| 458 | |
|---|
| 459 | WRITE(numout,*) ' CO2aq : ', |
|---|
| 460 | & ( CO2aq(layer), layer = 1, nlay_bio ) |
|---|
| 461 | WRITE(numout,*) ' CO32- : ', |
|---|
| 462 | & ( CO32m(layer), layer = 1, nlay_bio ) |
|---|
| 463 | WRITE(numout,*) ' HCO3- : ', |
|---|
| 464 | & ( HCO3m(layer), layer = 1, nlay_bio ) |
|---|
| 465 | WRITE(numout,*) ' pH : ', |
|---|
| 466 | & ( pH(layer), layer = 1, nlay_bio ) |
|---|
| 467 | WRITE(numout,*) ' pCO2 : ', |
|---|
| 468 | & ( pCO2(layer), layer = 1, nlay_bio ) |
|---|
| 469 | |
|---|
| 470 | ENDIF |
|---|
| 471 | ! |
|---|
| 472 | !------------------------------------------------------------------------------! |
|---|
| 473 | ! 7) End of the routine |
|---|
| 474 | !------------------------------------------------------------------------------! |
|---|
| 475 | ! |
|---|
| 476 | WRITE(numout,*) |
|---|
| 477 | WRITE(numout,*) ' End of ice_carb_chem ' |
|---|
| 478 | WRITE(numout,*) '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~' |
|---|
| 479 | |
|---|
| 480 | RETURN |
|---|
| 481 | |
|---|
| 482 | END |
|---|
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