1 | MODULE sedinorg |
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2 | !!====================================================================== |
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3 | !! *** MODULE sedinorg *** |
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4 | !! Sediment : dissolution and reaction in pore water of |
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5 | !! inorganic species |
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6 | !!===================================================================== |
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7 | !! * Modules used |
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8 | USE sed ! sediment global variable |
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9 | USE sed_oce |
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10 | USE sedmat ! linear system of equations |
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11 | USE sedco3 ! carbonate ion and proton concentration |
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12 | USE sedini |
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13 | USE seddsr |
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14 | USE lib_mpp ! distribued memory computing library |
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15 | USE lib_fortran |
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16 | |
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17 | IMPLICIT NONE |
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18 | PRIVATE |
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19 | |
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20 | PUBLIC sed_inorg |
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21 | |
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22 | !! $Id: seddsr.F90 5215 2015-04-15 16:11:56Z nicolasmartin $ |
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23 | CONTAINS |
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24 | |
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25 | SUBROUTINE sed_inorg( kt, knt ) |
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26 | !!---------------------------------------------------------------------- |
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27 | !! *** ROUTINE sed_inorg *** |
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28 | !! |
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29 | !! ** Purpose : computes pore water dissolution and reaction |
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30 | !! |
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31 | !! ** Methode : implicit simultaneous computation of undersaturation |
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32 | !! resulting from diffusive pore water transport and chemical |
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33 | !! pore water reactions. Solid material is consumed according |
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34 | !! to redissolution and remineralisation |
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35 | !! |
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36 | !! ** Remarks : |
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37 | !! - undersaturation : deviation from saturation concentration |
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38 | !! - reaction rate : sink of undersaturation from dissolution |
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39 | !! of solid material |
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40 | !! |
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41 | !! History : |
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42 | !! ! 98-08 (E. Maier-Reimer, Christoph Heinze ) Original code |
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43 | !! ! 04-10 (N. Emprin, M. Gehlen ) f90 |
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44 | !! ! 06-04 (C. Ethe) Re-organization |
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45 | !! ! 19-08 (O. Aumont) Debugging and improvement of the model |
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46 | !!---------------------------------------------------------------------- |
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47 | !! Arguments |
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48 | INTEGER, INTENT(in) :: kt, knt ! number of iteration |
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49 | ! --- local variables |
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50 | INTEGER :: ji, jk, js, jw ! dummy looop indices |
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51 | REAL(wp), DIMENSION(jpoce,jpksed) :: zrearat1, zrearat2 ! reaction rate in pore water |
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52 | REAL(wp), DIMENSION(jpoce,jpksed) :: zundsat ! undersaturation ; indice jpwatp1 is for calcite |
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53 | REAL(wp), DIMENSION(jpoce) :: zco3eq |
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54 | REAL(wp), DIMENSION(jpoce,jpksed,jpsol) :: zvolc ! temp. variables |
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55 | REAL(wp), DIMENSION(jpoce) :: zsieq |
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56 | REAL(wp) :: zsolid1, zvolw, zreasat, zbeta, zgamma |
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57 | REAL(wp) :: zsatur, zsatur2, znusil, zsolcpcl, zsolcpsi |
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58 | !! |
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59 | !!---------------------------------------------------------------------- |
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60 | |
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61 | IF( ln_timing ) CALL timing_start('sed_inorg') |
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62 | ! |
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63 | IF( kt == nitsed000 .AND. knt == 1 ) THEN |
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64 | IF (lwp) THEN |
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65 | WRITE(numsed,*) ' sed_inorg : Dissolution reaction ' |
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66 | WRITE(numsed,*) ' ' |
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67 | ENDIF |
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68 | ! ! |
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69 | ENDIF |
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70 | |
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71 | ! Initializations |
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72 | !---------------------- |
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73 | |
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74 | zrearat1(:,:) = 0. ; zundsat(:,:) = 0. |
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75 | zrearat2(:,:) = 0. |
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76 | zco3eq(:) = rtrn |
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77 | zvolc(:,:,:) = 0. |
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78 | |
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79 | ! ----------------------------------------------- |
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80 | ! Computation of Si solubility |
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81 | ! Param of Ridgwell et al. 2002 |
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82 | ! ----------------------------------------------- |
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83 | |
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84 | DO ji = 1, jpoce |
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85 | zsolcpcl = 0.0 |
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86 | zsolcpsi = 0.0 |
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87 | DO jk = 1, jpksed |
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88 | zsolcpsi = zsolcpsi + solcp(ji,jk,jsopal) * vols3d(ji,jk) |
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89 | zsolcpcl = zsolcpcl + solcp(ji,jk,jsclay) * vols3d(ji,jk) |
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90 | END DO |
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91 | zsolcpsi = MAX( zsolcpsi, rtrn ) |
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92 | zsieq(ji) = sieqs(ji) * MAX(0.25, 1.0 - (0.045 * zsolcpcl / zsolcpsi )**0.58 ) |
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93 | zsieq(ji) = MAX( rtrn, sieqs(ji) ) |
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94 | END DO |
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95 | |
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96 | DO js = 1, jpsol |
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97 | DO jk = 1, jpksed |
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98 | DO ji = 1, jpoce |
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99 | zvolc(ji,jk,js) = ( vols3d(ji,jk) * dens_mol_wgt(js) ) / & |
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100 | & ( volw3d(ji,jk) * 1.e-3 ) |
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101 | ENDDO |
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102 | ENDDO |
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103 | ENDDO |
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104 | |
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105 | !---------------------------------------------------------- |
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106 | ! 5. Beginning of Pore Water diffusion and solid reaction |
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107 | !--------------------------------------------------------- |
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108 | |
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109 | !----------------------------------------------------------------------------- |
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110 | ! For jk=2,jpksed, and for couple |
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111 | ! 1 : jwsil/jsopal ( SI/Opal ) |
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112 | ! 2 : jsclay/jsclay ( clay/clay ) |
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113 | ! 3 : jwoxy/jspoc ( O2/POC ) |
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114 | ! reaction rate is a function of solid=concentration in solid reactif in [mol/l] |
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115 | ! and undersaturation in [mol/l]. |
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116 | ! Solid weight fractions should be in ie [mol/l]) |
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117 | ! second member and solution are in zundsat variable |
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118 | !------------------------------------------------------------------------- |
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119 | |
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120 | DO jk = 1, jpksed |
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121 | DO ji = 1, jpoce |
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122 | ! For Silicic Acid and clay |
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123 | zundsat(ji,jk) = zsieq(ji) - pwcp(ji,jk,jwsil) |
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124 | ENDDO |
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125 | ENDDO |
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126 | |
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127 | ! Definition of reaction rates [rearat]=sans dim |
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128 | ! For jk=1 no reaction (pure water without solid) for each solid compo |
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129 | DO ji = 1, jpoce |
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130 | zrearat1(ji,:) = 0. |
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131 | zrearat2(ji,:) = 0. |
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132 | ENDDO |
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133 | |
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134 | ! left hand side of coefficient matrix |
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135 | DO jk = 2, jpksed |
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136 | DO ji = 1, jpoce |
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137 | IF ( zundsat(ji,jk) > 0. ) THEN |
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138 | zsolid1 = zvolc(ji,jk,jsopal) * solcp(ji,jk,jsopal) |
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139 | zsatur = zundsat(ji,jk) / zsieq(ji) |
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140 | zsatur2 = (1.0 + temp(ji) / 400.0 )**37 |
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141 | znusil = ( 0.225 * ( 1.0 + temp(ji) / 15.) + 0.775 * zsatur2 * zsatur**8.25 ) / zsieq(ji) |
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142 | zbeta = 1.0 - reac_sil * znusil * dtsed2 * zundsat(ji,jk) + reac_sil * znusil * dtsed2 * zsolid1 |
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143 | zgamma = - reac_sil * znusil * dtsed2 * zundsat(ji,jk) |
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144 | zundsat(ji,jk) = ( - zbeta + SQRT( zbeta**2 - 4.0 * zgamma ) ) / ( 2.0 * reac_sil * znusil * dtsed2 ) |
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145 | solcp(ji,jk,jsopal ) = zsolid1 / ( 1. + reac_sil * znusil * dtsed2 * zundsat(ji,jk) ) / zvolc(ji,jk,jsopal) |
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146 | pwcp(ji,jk,jwsil) = zsieq(ji) - zundsat(ji,jk) |
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147 | ENDIF |
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148 | ENDDO |
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149 | ENDDO |
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150 | |
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151 | !--------------------------------------------------------------- |
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152 | ! Performs CaCO3 particle deposition and redissolution (indice 9) |
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153 | !-------------------------------------------------------------- |
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154 | |
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155 | ! computes co3por from the updated pwcp concentrations (note [co3por] = mol/l) |
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156 | |
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157 | CALL sed_co3( kt ) |
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158 | |
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159 | ! *densSW(l)**2 converts aksps [mol2/kg sol2] into [mol2/l2] to get [undsat] in [mol/l] |
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160 | DO jk = 1, jpksed |
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161 | DO ji = 1, jpoce |
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162 | zco3eq(ji) = aksps(ji) * densSW(ji) * densSW(ji) / ( calcon2(ji) + rtrn ) |
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163 | zco3eq(ji) = MAX( rtrn, zco3eq(ji) ) |
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164 | zundsat(ji,jk) = ( zco3eq(ji) - co3por(ji,jk) ) / zco3eq(ji) |
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165 | saturco3(ji,jk) = zundsat(ji,jk) |
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166 | ENDDO |
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167 | ENDDO |
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168 | |
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169 | DO jk = 2, jpksed |
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170 | DO ji = 1, jpoce |
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171 | IF ( zundsat(ji,jk) > 0. ) THEN |
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172 | zsolid1 = zvolc(ji,jk,jscal) * solcp(ji,jk,jscal) |
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173 | zbeta = 1.0 - reac_cal * dtsed2 * zundsat(ji,jk) + reac_cal * dtsed2 * zsolid1 |
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174 | zgamma = -reac_cal * dtsed2 * zundsat(ji,jk) |
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175 | zundsat(ji,jk) = ( -zbeta + SQRT( zbeta**2 - 4.0 * zgamma ) ) / ( 2.0 * reac_cal * dtsed2 ) |
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176 | saturco3(ji,jk) = zundsat(ji,jk) |
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177 | zreasat = reac_cal * dtsed2 * zundsat(ji,jk) * zsolid1 / ( 1. + reac_cal * dtsed2 * zundsat(ji,jk) ) |
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178 | solcp(ji,jk,jscal) = solcp(ji,jk,jscal) - zreasat / zvolc(ji,jk,jscal) |
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179 | ! For DIC |
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180 | pwcp(ji,jk,jwdic) = pwcp(ji,jk,jwdic) + zreasat |
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181 | ! For alkalinity |
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182 | pwcp(ji,jk,jwalk) = pwcp(ji,jk,jwalk) + 2.0 * zreasat |
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183 | ENDIF |
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184 | END DO |
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185 | END DO |
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186 | |
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187 | IF( ln_timing ) CALL timing_stop('sed_inorg') |
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188 | ! |
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189 | END SUBROUTINE sed_inorg |
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190 | |
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191 | END MODULE sedinorg |
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